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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : GEO531+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:06:28 AM UTC 2025

% Result   : Theorem 65.44s 65.66s
% Output   : Proof 65.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO531+1 : TPTP v9.0.0. Released v7.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Jun 19 15:01:24 EDT 2025
% 0.13/0.35  % CPUTime    : 
% 65.44/65.66  % SZS status Theorem
% 65.44/65.66  % SZS output start Proof
% 65.44/65.66  tff(s_e_type, type, (
% 65.44/65.66     s_e: ( $i * $i * $i * $i ) > $o)).
% 65.44/65.66  tff(f113c_type, type, (
% 65.44/65.66     f113c: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 65.44/65.66  tff(tptp_fun_Xc_0_type, type, (
% 65.44/65.66     tptp_fun_Xc_0: $i)).
% 65.44/65.66  tff(tptp_fun_Xb_1_type, type, (
% 65.44/65.66     tptp_fun_Xb_1: $i)).
% 65.44/65.66  tff(tptp_fun_Xa_2_type, type, (
% 65.44/65.66     tptp_fun_Xa_2: $i)).
% 65.44/65.66  tff(f113a_type, type, (
% 65.44/65.66     f113a: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 65.44/65.66  tff(f113f_type, type, (
% 65.44/65.66     f113f: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 65.44/65.66  tff(f113d_type, type, (
% 65.44/65.66     f113d: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 65.44/65.66  tff(s_type, type, (
% 65.44/65.66     s: ( $i * $i ) > $i)).
% 65.44/65.66  tff(isomidpoint_type, type, (
% 65.44/65.66     isomidpoint: ( $i * $i * $i ) > $i)).
% 65.44/65.66  tff(s_m_type, type, (
% 65.44/65.66     s_m: ( $i * $i * $i ) > $o)).
% 65.44/65.66  tff(congruent_type, type, (
% 65.44/65.66     congruent: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 65.44/65.66  tff(sameside_type, type, (
% 65.44/65.66     sameside: ( $i * $i * $i ) > $o)).
% 65.44/65.66  tff(s_t_type, type, (
% 65.44/65.66     s_t: ( $i * $i * $i ) > $o)).
% 65.44/65.66  tff(c63_type, type, (
% 65.44/65.66     c63: ( $i * $i * $i ) > $i)).
% 65.44/65.66  tff(s_col_type, type, (
% 65.44/65.66     s_col: ( $i * $i * $i ) > $o)).
% 65.44/65.66  tff(xb_type, type, (
% 65.44/65.66     xb: $i)).
% 65.44/65.66  tff(le_type, type, (
% 65.44/65.66     le: ( $i * $i * $i * $i ) > $o)).
% 65.44/65.66  tff(1,plain,
% 65.44/65.66      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : refl((~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))) <=> (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))))),
% 65.44/65.66      inference(bind,[status(th)],[])).
% 65.44/65.66  tff(2,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 65.44/65.66      inference(quant_intro,[status(thm)],[1])).
% 65.44/65.66  tff(3,plain,
% 65.44/65.66      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : trans(monotonicity(rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))), ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))), ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))))),
% 65.44/65.66      inference(bind,[status(th)],[])).
% 65.44/65.66  tff(4,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 65.44/65.66      inference(quant_intro,[status(thm)],[3])).
% 65.44/65.66  tff(5,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 65.44/65.66      inference(rewrite,[status(thm)],[])).
% 65.44/65.66  tff(6,plain,
% 65.44/65.66      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), (((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), (((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), ((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), ((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))), (((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))), (((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 65.44/65.66      inference(bind,[status(th)],[])).
% 65.44/65.66  tff(7,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 65.44/65.66      inference(quant_intro,[status(thm)],[6])).
% 65.44/65.66  tff(8,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz11_4b')).
% 65.44/65.66  tff(9,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 65.44/65.66      inference(modus_ponens,[status(thm)],[8, 7])).
% 65.44/65.66  tff(10,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 65.44/65.66      inference(modus_ponens,[status(thm)],[9, 5])).
% 65.44/65.66  tff(11,plain,(
% 65.44/65.66      ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 65.44/65.66      inference(skolemize,[status(sab)],[10])).
% 65.44/65.66  tff(12,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 65.44/65.66      inference(modus_ponens,[status(thm)],[11, 4])).
% 65.44/65.66  tff(13,plain,
% 65.44/65.66      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 65.44/65.66      inference(modus_ponens,[status(thm)],[12, 2])).
% 65.44/65.66  tff(14,plain,
% 65.44/65.66      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.44/65.67      inference(rewrite,[status(thm)],[])).
% 65.44/65.67  tff(15,plain,
% 65.44/65.67      ((~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1))))) <=> (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.44/65.67      inference(rewrite,[status(thm)],[])).
% 65.44/65.67  tff(16,plain,
% 65.44/65.67      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.44/65.67      inference(monotonicity,[status(thm)],[15])).
% 65.44/65.67  tff(17,plain,
% 65.44/65.67      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.44/65.67      inference(transitivity,[status(thm)],[16, 14])).
% 65.44/65.67  tff(18,plain,
% 65.44/65.67      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1)))))),
% 65.44/65.67      inference(quant_inst,[status(thm)],[])).
% 65.44/65.67  tff(19,plain,
% 65.44/65.67      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[18, 17])).
% 65.44/65.68  tff(20,plain,
% 65.44/65.68      (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.44/65.68      inference(unit_resolution,[status(thm)],[19, 13])).
% 65.44/65.68  tff(21,plain,
% 65.44/65.68      (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.44/65.68      inference(tautology,[status(thm)],[])).
% 65.44/65.68  tff(22,plain,
% 65.44/65.68      ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(unit_resolution,[status(thm)],[21, 20])).
% 65.44/65.68  tff(23,plain,
% 65.44/65.68      ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))) <=> (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc)))),
% 65.44/65.68      inference(rewrite,[status(thm)],[])).
% 65.44/65.68  tff(24,plain,
% 65.44/65.68      ((~![Xa: $i, Xb: $i, Xc: $i] : (((Xa = Xb) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))) <=> (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc)))),
% 65.44/65.68      inference(rewrite,[status(thm)],[])).
% 65.44/65.68  tff(25,axiom,(~![Xa: $i, Xb: $i, Xc: $i] : (((Xa = Xb) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz11_6')).
% 65.44/65.68  tff(26,plain,
% 65.44/65.68      (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[25, 24])).
% 65.44/65.68  tff(27,plain,
% 65.44/65.68      (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[26, 23])).
% 65.44/65.68  tff(28,plain,
% 65.44/65.68      (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[27, 23])).
% 65.44/65.68  tff(29,plain,
% 65.44/65.68      (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[28, 23])).
% 65.44/65.68  tff(30,plain,(
% 65.44/65.68      ~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(skolemize,[status(sab)],[29])).
% 65.44/65.68  tff(31,plain,
% 65.44/65.68      (~congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 65.44/65.68      inference(or_elim,[status(thm)],[30])).
% 65.44/65.68  tff(32,plain,
% 65.44/65.68      (~(Xc!0 = Xb!1)),
% 65.44/65.68      inference(or_elim,[status(thm)],[30])).
% 65.44/65.68  tff(33,plain,
% 65.44/65.68      (~(Xa!2 = Xb!1)),
% 65.44/65.68      inference(or_elim,[status(thm)],[30])).
% 65.44/65.68  tff(34,plain,
% 65.44/65.68      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(tautology,[status(thm)],[])).
% 65.44/65.68  tff(35,plain,
% 65.44/65.68      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(unit_resolution,[status(thm)],[34, 33, 32, 31])).
% 65.44/65.68  tff(36,plain,
% 65.44/65.68      (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(unit_resolution,[status(thm)],[35, 22])).
% 65.44/65.68  tff(37,plain,
% 65.44/65.68      (^[Xc: $i, Xa: $i, Xb: $i] : refl(((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)) <=> ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)))),
% 65.44/65.68      inference(bind,[status(th)],[])).
% 65.44/65.68  tff(38,plain,
% 65.44/65.68      (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)) <=> ![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 65.44/65.68      inference(quant_intro,[status(thm)],[37])).
% 65.44/65.68  tff(39,plain,
% 65.44/65.68      (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)) <=> ![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 65.44/65.68      inference(rewrite,[status(thm)],[])).
% 65.44/65.68  tff(40,axiom,(![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz7_25')).
% 65.44/65.68  tff(41,plain,
% 65.44/65.68      (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[40, 39])).
% 65.44/65.68  tff(42,plain,(
% 65.44/65.68      ![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 65.44/65.68      inference(skolemize,[status(sab)],[41])).
% 65.44/65.68  tff(43,plain,
% 65.44/65.68      (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[42, 38])).
% 65.44/65.68  tff(44,plain,
% 65.44/65.68      (((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.44/65.68      inference(rewrite,[status(thm)],[])).
% 65.44/65.68  tff(45,plain,
% 65.44/65.68      ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.44/65.68      inference(quant_inst,[status(thm)],[])).
% 65.44/65.68  tff(46,plain,
% 65.44/65.68      ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[45, 44])).
% 65.44/65.68  tff(47,plain,
% 65.44/65.68      (s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(unit_resolution,[status(thm)],[46, 43, 36])).
% 65.44/65.68  tff(48,plain,
% 65.44/65.68      (^[Xp: $i, Xa: $i, Xq: $i] : refl(((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))) <=> ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))))),
% 65.44/65.68      inference(bind,[status(th)],[])).
% 65.44/65.68  tff(49,plain,
% 65.44/65.68      (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))) <=> ![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 65.44/65.68      inference(quant_intro,[status(thm)],[48])).
% 65.44/65.68  tff(50,plain,
% 65.44/65.68      (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))) <=> ![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 65.44/65.68      inference(rewrite,[status(thm)],[])).
% 65.44/65.68  tff(51,axiom,(![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz7_6')).
% 65.44/65.68  tff(52,plain,
% 65.44/65.68      (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[51, 50])).
% 65.44/65.68  tff(53,plain,(
% 65.44/65.68      ![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 65.44/65.68      inference(skolemize,[status(sab)],[52])).
% 65.44/65.68  tff(54,plain,
% 65.44/65.68      (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[53, 49])).
% 65.44/65.68  tff(55,plain,
% 65.44/65.68      (((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.44/65.68      inference(rewrite,[status(thm)],[])).
% 65.44/65.68  tff(56,plain,
% 65.44/65.68      ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.44/65.68      inference(quant_inst,[status(thm)],[])).
% 65.44/65.68  tff(57,plain,
% 65.44/65.68      ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.44/65.68      inference(modus_ponens,[status(thm)],[56, 55])).
% 65.44/65.68  tff(58,plain,
% 65.44/65.68      (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.44/65.68      inference(unit_resolution,[status(thm)],[57, 54, 47])).
% 65.44/65.68  tff(59,plain,
% 65.44/65.68      (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 65.44/65.68      inference(symmetry,[status(thm)],[58])).
% 65.44/65.68  tff(60,plain,
% 65.44/65.68      (^[Xa: $i, Xp: $i, Xb: $i] : refl((~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))) <=> (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))))),
% 65.44/65.68      inference(bind,[status(th)],[])).
% 65.44/65.68  tff(61,plain,
% 65.44/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 65.44/65.68      inference(quant_intro,[status(thm)],[60])).
% 65.44/65.68  tff(62,plain,
% 65.44/65.68      (^[Xa: $i, Xp: $i, Xb: $i] : rewrite((((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))) <=> (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))))),
% 65.44/65.68      inference(bind,[status(th)],[])).
% 65.44/65.68  tff(63,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(quant_intro,[status(thm)],[62])).
% 65.52/65.68  tff(64,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 65.52/65.68      inference(rewrite,[status(thm)],[])).
% 65.52/65.68  tff(65,plain,
% 65.52/65.68      (^[Xa: $i, Xp: $i, Xb: $i] : rewrite((((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~sameside(Xa, Xp, Xb)) | (~s_t(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))),
% 65.52/65.68      inference(bind,[status(th)],[])).
% 65.52/65.68  tff(66,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~sameside(Xa, Xp, Xb)) | (~s_t(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 65.52/65.68      inference(quant_intro,[status(thm)],[65])).
% 65.52/65.68  tff(67,axiom,(![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~sameside(Xa, Xp, Xb)) | (~s_t(Xa, Xp, Xb))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_4a')).
% 65.52/65.68  tff(68,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[67, 66])).
% 65.52/65.68  tff(69,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[68, 64])).
% 65.52/65.68  tff(70,plain,(
% 65.52/65.68      ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 65.52/65.68      inference(skolemize,[status(sab)],[69])).
% 65.52/65.68  tff(71,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[70, 63])).
% 65.52/65.68  tff(72,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[71, 61])).
% 65.52/65.68  tff(73,plain,
% 65.52/65.68      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.68      inference(quant_inst,[status(thm)],[])).
% 65.52/65.68  tff(74,plain,
% 65.52/65.68      (~((~((~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.68      inference(unit_resolution,[status(thm)],[73, 72])).
% 65.52/65.68  tff(75,plain,
% 65.52/65.68      (((~((~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) | ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.68      inference(tautology,[status(thm)],[])).
% 65.52/65.68  tff(76,plain,
% 65.52/65.68      ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.68      inference(unit_resolution,[status(thm)],[75, 74])).
% 65.52/65.68  tff(77,plain,
% 65.52/65.68      (^[Xa: $i, Xp: $i, Xb: $i] : refl((~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))))),
% 65.52/65.68      inference(bind,[status(th)],[])).
% 65.52/65.68  tff(78,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(quant_intro,[status(thm)],[77])).
% 65.52/65.68  tff(79,plain,
% 65.52/65.68      (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))), rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))), rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))))),
% 65.52/65.68      inference(bind,[status(th)],[])).
% 65.52/65.68  tff(80,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(quant_intro,[status(thm)],[79])).
% 65.52/65.68  tff(81,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 65.52/65.68      inference(rewrite,[status(thm)],[])).
% 65.52/65.68  tff(82,plain,
% 65.52/65.68      (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(bind,[status(th)],[])).
% 65.52/65.68  tff(83,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 65.52/65.68      inference(quant_intro,[status(thm)],[82])).
% 65.52/65.68  tff(84,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_3a')).
% 65.52/65.68  tff(85,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[84, 83])).
% 65.52/65.68  tff(86,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[85, 81])).
% 65.52/65.68  tff(87,plain,(
% 65.52/65.68      ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 65.52/65.68      inference(skolemize,[status(sab)],[86])).
% 65.52/65.68  tff(88,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[87, 80])).
% 65.52/65.68  tff(89,plain,
% 65.52/65.68      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 65.52/65.68      inference(modus_ponens,[status(thm)],[88, 78])).
% 65.52/65.68  tff(90,plain,
% 65.52/65.68      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.69      inference(rewrite,[status(thm)],[])).
% 65.52/65.69  tff(91,plain,
% 65.52/65.69      ((~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.69      inference(rewrite,[status(thm)],[])).
% 65.52/65.69  tff(92,plain,
% 65.52/65.69      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.69      inference(monotonicity,[status(thm)],[91])).
% 65.52/65.69  tff(93,plain,
% 65.52/65.69      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.69      inference(transitivity,[status(thm)],[92, 90])).
% 65.52/65.69  tff(94,plain,
% 65.52/65.69      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.69      inference(quant_inst,[status(thm)],[])).
% 65.52/65.69  tff(95,plain,
% 65.52/65.69      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.69      inference(modus_ponens,[status(thm)],[94, 93])).
% 65.52/65.69  tff(96,plain,
% 65.52/65.69      (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.52/65.69      inference(unit_resolution,[status(thm)],[95, 89])).
% 65.52/65.69  tff(97,plain,
% 65.52/65.69      (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.69      inference(tautology,[status(thm)],[])).
% 65.52/65.69  tff(98,plain,
% 65.52/65.69      ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.69      inference(unit_resolution,[status(thm)],[97, 96])).
% 65.52/65.69  tff(99,plain,
% 65.52/65.69      (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.70      inference(tautology,[status(thm)],[])).
% 65.52/65.70  tff(100,plain,
% 65.52/65.70      ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[99, 20])).
% 65.52/65.70  tff(101,plain,
% 65.52/65.70      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(tautology,[status(thm)],[])).
% 65.52/65.70  tff(102,plain,
% 65.52/65.70      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[101, 33, 32, 31])).
% 65.52/65.70  tff(103,plain,
% 65.52/65.70      (sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[102, 100])).
% 65.52/65.70  tff(104,plain,
% 65.52/65.70      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.70      inference(tautology,[status(thm)],[])).
% 65.52/65.70  tff(105,plain,
% 65.52/65.70      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[104, 103])).
% 65.52/65.70  tff(106,plain,
% 65.52/65.70      (s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[105, 98])).
% 65.52/65.70  tff(107,plain,
% 65.52/65.70      ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.70      inference(tautology,[status(thm)],[])).
% 65.52/65.70  tff(108,plain,
% 65.52/65.70      ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[107, 106])).
% 65.52/65.70  tff(109,plain,
% 65.52/65.70      (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[108, 76])).
% 65.52/65.70  tff(110,plain,
% 65.52/65.70      (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.70      inference(tautology,[status(thm)],[])).
% 65.52/65.70  tff(111,plain,
% 65.52/65.70      ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[110, 20])).
% 65.52/65.70  tff(112,plain,
% 65.52/65.70      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(tautology,[status(thm)],[])).
% 65.52/65.70  tff(113,plain,
% 65.52/65.70      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[112, 33, 32, 31])).
% 65.52/65.70  tff(114,plain,
% 65.52/65.70      (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[113, 111])).
% 65.52/65.70  tff(115,plain,
% 65.52/65.70      (^[Xa: $i, Xp: $i, Xb: $i] : refl(((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)))),
% 65.52/65.70      inference(bind,[status(th)],[])).
% 65.52/65.70  tff(116,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 65.52/65.70      inference(quant_intro,[status(thm)],[115])).
% 65.52/65.70  tff(117,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 65.52/65.70      inference(rewrite,[status(thm)],[])).
% 65.52/65.70  tff(118,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_6')).
% 65.52/65.70  tff(119,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 65.52/65.70      inference(modus_ponens,[status(thm)],[118, 117])).
% 65.52/65.70  tff(120,plain,(
% 65.52/65.70      ![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 65.52/65.70      inference(skolemize,[status(sab)],[119])).
% 65.52/65.70  tff(121,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 65.52/65.70      inference(modus_ponens,[status(thm)],[120, 116])).
% 65.52/65.70  tff(122,plain,
% 65.52/65.70      (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.70      inference(rewrite,[status(thm)],[])).
% 65.52/65.70  tff(123,plain,
% 65.52/65.70      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.70      inference(quant_inst,[status(thm)],[])).
% 65.52/65.70  tff(124,plain,
% 65.52/65.70      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.70      inference(modus_ponens,[status(thm)],[123, 122])).
% 65.52/65.70  tff(125,plain,
% 65.52/65.70      (sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[124, 121, 114])).
% 65.52/65.70  tff(126,plain,
% 65.52/65.70      (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : refl(((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))))),
% 65.52/65.70      inference(bind,[status(th)],[])).
% 65.52/65.70  tff(127,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 65.52/65.70      inference(quant_intro,[status(thm)],[126])).
% 65.52/65.70  tff(128,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 65.52/65.70      inference(rewrite,[status(thm)],[])).
% 65.52/65.70  tff(129,plain,
% 65.52/65.70      (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : trans(monotonicity(rewrite(((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) <=> ((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc)))), ((((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> (((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)))), rewrite((((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))), ((((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))))),
% 65.52/65.70      inference(bind,[status(th)],[])).
% 65.52/65.70  tff(130,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : (((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 65.52/65.70      inference(quant_intro,[status(thm)],[129])).
% 65.52/65.70  tff(131,axiom,(![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : (((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_7')).
% 65.52/65.70  tff(132,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 65.52/65.70      inference(modus_ponens,[status(thm)],[131, 130])).
% 65.52/65.70  tff(133,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 65.52/65.70      inference(modus_ponens,[status(thm)],[132, 128])).
% 65.52/65.70  tff(134,plain,(
% 65.52/65.70      ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 65.52/65.70      inference(skolemize,[status(sab)],[133])).
% 65.52/65.70  tff(135,plain,
% 65.52/65.70      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 65.52/65.70      inference(modus_ponens,[status(thm)],[134, 127])).
% 65.52/65.70  tff(136,plain,
% 65.52/65.70      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.70      inference(rewrite,[status(thm)],[])).
% 65.52/65.70  tff(137,plain,
% 65.52/65.70      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.70      inference(quant_inst,[status(thm)],[])).
% 65.52/65.70  tff(138,plain,
% 65.52/65.70      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.70      inference(modus_ponens,[status(thm)],[137, 136])).
% 65.52/65.70  tff(139,plain,
% 65.52/65.70      (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.70      inference(unit_resolution,[status(thm)],[138, 135, 125, 109])).
% 65.52/65.70  tff(140,plain,
% 65.52/65.70      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.70      inference(rewrite,[status(thm)],[])).
% 65.52/65.70  tff(141,plain,
% 65.52/65.70      ((~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.70      inference(rewrite,[status(thm)],[])).
% 65.52/65.70  tff(142,plain,
% 65.52/65.70      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.70      inference(monotonicity,[status(thm)],[141])).
% 65.52/65.70  tff(143,plain,
% 65.52/65.70      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.71      inference(transitivity,[status(thm)],[142, 140])).
% 65.52/65.71  tff(144,plain,
% 65.52/65.71      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.71      inference(quant_inst,[status(thm)],[])).
% 65.52/65.71  tff(145,plain,
% 65.52/65.71      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.71      inference(modus_ponens,[status(thm)],[144, 143])).
% 65.52/65.71  tff(146,plain,
% 65.52/65.71      (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.52/65.71      inference(unit_resolution,[status(thm)],[145, 89])).
% 65.52/65.71  tff(147,plain,
% 65.52/65.71      (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.71      inference(tautology,[status(thm)],[])).
% 65.52/65.71  tff(148,plain,
% 65.52/65.71      ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.71      inference(unit_resolution,[status(thm)],[147, 146])).
% 65.52/65.71  tff(149,plain,
% 65.52/65.71      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.71      inference(tautology,[status(thm)],[])).
% 65.52/65.71  tff(150,plain,
% 65.52/65.71      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.71      inference(unit_resolution,[status(thm)],[149, 114])).
% 65.52/65.71  tff(151,plain,
% 65.52/65.71      (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.71      inference(unit_resolution,[status(thm)],[150, 148])).
% 65.52/65.71  tff(152,plain,
% 65.52/65.71      (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))),
% 65.52/65.71      inference(tautology,[status(thm)],[])).
% 65.52/65.71  tff(153,plain,
% 65.52/65.71      ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 65.52/65.71      inference(unit_resolution,[status(thm)],[152, 146])).
% 65.52/65.71  tff(154,plain,
% 65.52/65.71      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 65.52/65.71      inference(tautology,[status(thm)],[])).
% 65.52/65.71  tff(155,plain,
% 65.52/65.71      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 65.52/65.71      inference(unit_resolution,[status(thm)],[154, 114])).
% 65.52/65.71  tff(156,plain,
% 65.52/65.71      (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)),
% 65.52/65.71      inference(unit_resolution,[status(thm)],[155, 153])).
% 65.52/65.71  tff(157,plain,
% 65.52/65.71      (^[Xa: $i, Xp: $i, Xb: $i] : refl((~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))))),
% 65.52/65.71      inference(bind,[status(th)],[])).
% 65.52/65.71  tff(158,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 65.52/65.71      inference(quant_intro,[status(thm)],[157])).
% 65.52/65.71  tff(159,plain,
% 65.52/65.71      (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))), rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))), rewrite((s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) <=> (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))), rewrite(((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))), rewrite(((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))), rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))))),
% 65.52/65.71      inference(bind,[status(th)],[])).
% 65.52/65.71  tff(160,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 65.52/65.71      inference(quant_intro,[status(thm)],[159])).
% 65.52/65.71  tff(161,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 65.52/65.71      inference(rewrite,[status(thm)],[])).
% 65.52/65.71  tff(162,plain,
% 65.52/65.71      (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))))), rewrite((((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa)) <=> (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))))), trans(monotonicity(rewrite((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp))), (((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> (((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))), (((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))))), trans(monotonicity(rewrite((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp))), (((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> (((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))), (((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 65.52/65.71      inference(bind,[status(th)],[])).
% 65.52/65.71  tff(163,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 65.52/65.71      inference(quant_intro,[status(thm)],[162])).
% 65.52/65.71  tff(164,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d_Defn6_1')).
% 65.52/65.71  tff(165,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 65.52/65.71      inference(modus_ponens,[status(thm)],[164, 163])).
% 65.52/65.71  tff(166,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 65.52/65.71      inference(modus_ponens,[status(thm)],[165, 161])).
% 65.52/65.71  tff(167,plain,(
% 65.52/65.71      ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 65.52/65.71      inference(skolemize,[status(sab)],[166])).
% 65.52/65.71  tff(168,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 65.52/65.71      inference(modus_ponens,[status(thm)],[167, 160])).
% 65.52/65.71  tff(169,plain,
% 65.52/65.71      (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 65.52/65.71      inference(modus_ponens,[status(thm)],[168, 158])).
% 65.52/65.71  tff(170,plain,
% 65.52/65.71      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.52/65.71      inference(rewrite,[status(thm)],[])).
% 65.52/65.71  tff(171,plain,
% 65.52/65.71      ((~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.52/65.72      inference(rewrite,[status(thm)],[])).
% 65.52/65.72  tff(172,plain,
% 65.52/65.72      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.52/65.72      inference(monotonicity,[status(thm)],[171])).
% 65.52/65.72  tff(173,plain,
% 65.52/65.72      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.52/65.72      inference(transitivity,[status(thm)],[172, 170])).
% 65.52/65.72  tff(174,plain,
% 65.52/65.72      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.52/65.72      inference(quant_inst,[status(thm)],[])).
% 65.52/65.72  tff(175,plain,
% 65.52/65.72      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.52/65.72      inference(modus_ponens,[status(thm)],[174, 173])).
% 65.52/65.72  tff(176,plain,
% 65.52/65.72      (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.52/65.72      inference(unit_resolution,[status(thm)],[175, 169])).
% 65.52/65.72  tff(177,plain,
% 65.52/65.72      (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 65.52/65.72      inference(tautology,[status(thm)],[])).
% 65.52/65.72  tff(178,plain,
% 65.52/65.72      ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.52/65.72      inference(unit_resolution,[status(thm)],[177, 176])).
% 65.52/65.72  tff(179,plain,
% 65.52/65.72      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.52/65.72      inference(tautology,[status(thm)],[])).
% 65.52/65.72  tff(180,plain,
% 65.52/65.72      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.52/65.72      inference(unit_resolution,[status(thm)],[179, 114])).
% 65.52/65.72  tff(181,plain,
% 65.52/65.72      (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.52/65.72      inference(unit_resolution,[status(thm)],[180, 178])).
% 65.52/65.72  tff(182,plain,
% 65.52/65.72      (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : refl(((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)))),
% 65.52/65.72      inference(bind,[status(th)],[])).
% 65.52/65.72  tff(183,plain,
% 65.52/65.72      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 65.52/65.72      inference(quant_intro,[status(thm)],[182])).
% 65.52/65.72  tff(184,plain,
% 65.52/65.72      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 65.52/65.72      inference(rewrite,[status(thm)],[])).
% 65.52/65.72  tff(185,plain,
% 65.52/65.72      (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xp) | (Xb = Xp)) <=> ((Xa = Xp) | (Xb = Xp))), ((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) <=> (((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)))), rewrite((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) <=> ((Xa = Xp) | (Xc = Xp) | (Xb = Xp))), ((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) <=> ((Xa = Xp) | (Xc = Xp) | (Xb = Xp)))), (((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) <=> (((Xa = Xp) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xa, Xp, Xc))))), rewrite((((Xa = Xp) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xa, Xp, Xc))) <=> ((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp))), (((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) <=> ((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)))), ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) <=> (((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xb, Xp, Xc))))), rewrite((((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xb, Xp, Xc))) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp))), ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)))), (((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb)) <=> (((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))), (((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb)) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))))),
% 65.52/65.72      inference(bind,[status(th)],[])).
% 65.52/65.72  tff(186,plain,
% 65.52/65.72      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 65.52/65.72      inference(quant_intro,[status(thm)],[185])).
% 65.52/65.72  tff(187,axiom,(![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_2a')).
% 65.52/65.72  tff(188,plain,
% 65.52/65.72      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 65.52/65.72      inference(modus_ponens,[status(thm)],[187, 186])).
% 65.52/65.72  tff(189,plain,
% 65.52/65.72      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 65.52/65.72      inference(modus_ponens,[status(thm)],[188, 184])).
% 65.52/65.72  tff(190,plain,(
% 65.52/65.72      ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 65.52/65.72      inference(skolemize,[status(sab)],[189])).
% 65.52/65.72  tff(191,plain,
% 65.52/65.72      (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 65.52/65.72      inference(modus_ponens,[status(thm)],[190, 183])).
% 65.52/65.72  tff(192,plain,
% 65.52/65.72      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.72      inference(rewrite,[status(thm)],[])).
% 65.52/65.72  tff(193,plain,
% 65.52/65.72      (((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.72      inference(rewrite,[status(thm)],[])).
% 65.52/65.72  tff(194,plain,
% 65.52/65.72      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.52/65.72      inference(monotonicity,[status(thm)],[193])).
% 65.52/65.72  tff(195,plain,
% 65.52/65.72      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.73      inference(transitivity,[status(thm)],[194, 192])).
% 65.52/65.73  tff(196,plain,
% 65.52/65.73      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.52/65.73      inference(quant_inst,[status(thm)],[])).
% 65.52/65.73  tff(197,plain,
% 65.52/65.73      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.73      inference(modus_ponens,[status(thm)],[196, 195])).
% 65.52/65.73  tff(198,plain,
% 65.52/65.73      (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.73      inference(unit_resolution,[status(thm)],[197, 191, 181, 156, 151])).
% 65.52/65.73  tff(199,plain,
% 65.52/65.73      ((Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) <=> (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)),
% 65.52/65.73      inference(commutativity,[status(thm)],[])).
% 65.52/65.73  tff(200,plain,
% 65.52/65.73      ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) <=> (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.73      inference(symmetry,[status(thm)],[199])).
% 65.52/65.73  tff(201,plain,
% 65.52/65.73      ((~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)) <=> (~(Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.73      inference(monotonicity,[status(thm)],[200])).
% 65.52/65.73  tff(202,plain,
% 65.52/65.73      (~(Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.73      inference(modus_ponens,[status(thm)],[156, 201])).
% 65.52/65.73  tff(203,plain,
% 65.52/65.73      ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.52/65.73      inference(commutativity,[status(thm)],[])).
% 65.52/65.73  tff(204,plain,
% 65.52/65.73      ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.73      inference(symmetry,[status(thm)],[203])).
% 65.52/65.73  tff(205,plain,
% 65.52/65.73      ((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.73      inference(monotonicity,[status(thm)],[204])).
% 65.52/65.73  tff(206,plain,
% 65.52/65.73      (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.73      inference(modus_ponens,[status(thm)],[181, 205])).
% 65.52/65.73  tff(207,plain,
% 65.52/65.73      (^[Xp: $i, Xq: $i, Xr: $i, Xa: $i] : refl(((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)) <=> ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)))),
% 65.52/65.73      inference(bind,[status(th)],[])).
% 65.52/65.73  tff(208,plain,
% 65.52/65.73      (![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)) <=> ![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))),
% 65.52/65.73      inference(quant_intro,[status(thm)],[207])).
% 65.52/65.73  tff(209,plain,
% 65.52/65.73      (![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)) <=> ![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))),
% 65.52/65.73      inference(rewrite,[status(thm)],[])).
% 65.52/65.73  tff(210,plain,
% 65.52/65.73      (^[Xp: $i, Xq: $i, Xr: $i, Xa: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xp = Xq) | (Xp = Xr)) <=> ((Xp = Xq) | (Xp = Xr))), ((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) <=> (((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))))), rewrite((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) <=> ((Xp = Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))), ((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) <=> ((Xp = Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)))), (((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) | (~sameside(Xa, Xp, Xq))) <=> (((Xp = Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)) | (~sameside(Xa, Xp, Xq))))), rewrite((((Xp = Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)) | (~sameside(Xa, Xp, Xq))) <=> ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))), (((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) | (~sameside(Xa, Xp, Xq))) <=> ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)))), ((((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) | (~sameside(Xa, Xp, Xq))) | s_col(Xa, Xp, Xq)) <=> (((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)) | s_col(Xa, Xp, Xq)))), rewrite((((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr)) | s_col(Xa, Xp, Xq)) <=> ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))), ((((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) | (~sameside(Xa, Xp, Xq))) | s_col(Xa, Xp, Xq)) <=> ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))))),
% 65.52/65.73      inference(bind,[status(th)],[])).
% 65.52/65.73  tff(211,plain,
% 65.52/65.73      (![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : (((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) | (~sameside(Xa, Xp, Xq))) | s_col(Xa, Xp, Xq)) <=> ![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))),
% 65.52/65.73      inference(quant_intro,[status(thm)],[210])).
% 65.52/65.73  tff(212,axiom,(![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : (((((Xp = Xq) | (Xp = Xr)) | (~s_t(Xq, Xp, Xr))) | (~sameside(Xa, Xp, Xq))) | s_col(Xa, Xp, Xq))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_15b')).
% 65.52/65.73  tff(213,plain,
% 65.52/65.73      (![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))),
% 65.52/65.73      inference(modus_ponens,[status(thm)],[212, 211])).
% 65.52/65.73  tff(214,plain,
% 65.52/65.73      (![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))),
% 65.52/65.73      inference(modus_ponens,[status(thm)],[213, 209])).
% 65.52/65.73  tff(215,plain,(
% 65.52/65.73      ![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))),
% 65.52/65.73      inference(skolemize,[status(sab)],[214])).
% 65.52/65.73  tff(216,plain,
% 65.52/65.73      (![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))),
% 65.52/65.73      inference(modus_ponens,[status(thm)],[215, 208])).
% 65.52/65.73  tff(217,plain,
% 65.52/65.73      (((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.52/65.73      inference(rewrite,[status(thm)],[])).
% 65.52/65.73  tff(218,plain,
% 65.52/65.73      (((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) <=> ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.52/65.73      inference(rewrite,[status(thm)],[])).
% 65.52/65.73  tff(219,plain,
% 65.52/65.73      (((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.52/65.73      inference(monotonicity,[status(thm)],[218])).
% 65.52/65.73  tff(220,plain,
% 65.52/65.73      (((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.52/65.73      inference(transitivity,[status(thm)],[219, 217])).
% 65.52/65.73  tff(221,plain,
% 65.52/65.73      ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.73      inference(quant_inst,[status(thm)],[])).
% 65.52/65.73  tff(222,plain,
% 65.52/65.73      ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.73      inference(modus_ponens,[status(thm)],[221, 220])).
% 65.52/65.73  tff(223,plain,
% 65.52/65.73      (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.73      inference(unit_resolution,[status(thm)],[222, 216, 151, 206, 202, 198])).
% 65.52/65.73  tff(224,plain,
% 65.52/65.73      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))))),
% 65.52/65.74      inference(rewrite,[status(thm)],[])).
% 65.52/65.74  tff(225,plain,
% 65.52/65.74      ((~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))))),
% 65.52/65.74      inference(rewrite,[status(thm)],[])).
% 65.52/65.74  tff(226,plain,
% 65.52/65.74      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))))),
% 65.52/65.74      inference(monotonicity,[status(thm)],[225])).
% 65.52/65.74  tff(227,plain,
% 65.52/65.74      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))))),
% 65.52/65.74      inference(transitivity,[status(thm)],[226, 224])).
% 65.52/65.74  tff(228,plain,
% 65.52/65.74      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.52/65.75      inference(quant_inst,[status(thm)],[])).
% 65.52/65.75  tff(229,plain,
% 65.52/65.75      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))))),
% 65.52/65.75      inference(modus_ponens,[status(thm)],[228, 227])).
% 65.52/65.75  tff(230,plain,
% 65.52/65.75      (~((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))),
% 65.52/65.75      inference(unit_resolution,[status(thm)],[229, 169])).
% 65.52/65.75  tff(231,plain,
% 65.52/65.75      (((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))) | ((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.52/65.75      inference(tautology,[status(thm)],[])).
% 65.52/65.75  tff(232,plain,
% 65.52/65.75      ((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.75      inference(unit_resolution,[status(thm)],[231, 230])).
% 65.52/65.75  tff(233,plain,
% 65.52/65.75      (^[Xa: $i, Xb: $i, Xc: $i] : refl((~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))) <=> (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))))),
% 65.52/65.75      inference(bind,[status(th)],[])).
% 65.52/65.75  tff(234,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))) <=> ![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 65.52/65.75      inference(quant_intro,[status(thm)],[233])).
% 65.52/65.75  tff(235,plain,
% 65.52/65.75      (^[Xa: $i, Xb: $i, Xc: $i] : trans(monotonicity(rewrite((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) <=> (s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))), rewrite((s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))) <=> (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))), (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))), rewrite(((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))), (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))))),
% 65.52/65.75      inference(bind,[status(th)],[])).
% 65.52/65.75  tff(236,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 65.52/65.75      inference(quant_intro,[status(thm)],[235])).
% 65.52/65.75  tff(237,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 65.52/65.75      inference(rewrite,[status(thm)],[])).
% 65.52/65.75  tff(238,plain,
% 65.52/65.75      (^[Xa: $i, Xb: $i, Xc: $i] : trans(monotonicity(trans(monotonicity(rewrite((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)))), rewrite((s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa))) <=> ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))), (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) <=> (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))))), rewrite((((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)))), (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))))), rewrite((s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))) <=> (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))), ((((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))), rewrite((((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))), ((((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 65.52/65.75      inference(bind,[status(th)],[])).
% 65.52/65.75  tff(239,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 65.52/65.75      inference(quant_intro,[status(thm)],[238])).
% 65.52/65.75  tff(240,axiom,(![Xa: $i, Xb: $i, Xc: $i] : (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d_Defn4_10')).
% 65.52/65.75  tff(241,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 65.52/65.75      inference(modus_ponens,[status(thm)],[240, 239])).
% 65.52/65.75  tff(242,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 65.52/65.75      inference(modus_ponens,[status(thm)],[241, 237])).
% 65.52/65.75  tff(243,plain,(
% 65.52/65.75      ![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 65.52/65.75      inference(skolemize,[status(sab)],[242])).
% 65.52/65.75  tff(244,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 65.52/65.75      inference(modus_ponens,[status(thm)],[243, 236])).
% 65.52/65.75  tff(245,plain,
% 65.52/65.75      (![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 65.52/65.75      inference(modus_ponens,[status(thm)],[244, 234])).
% 65.52/65.75  tff(246,plain,
% 65.52/65.75      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.52/65.75      inference(rewrite,[status(thm)],[])).
% 65.52/65.75  tff(247,plain,
% 65.52/65.75      ((~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.52/65.75      inference(rewrite,[status(thm)],[])).
% 65.52/65.75  tff(248,plain,
% 65.52/65.75      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.52/65.75      inference(monotonicity,[status(thm)],[247])).
% 65.52/65.75  tff(249,plain,
% 65.52/65.75      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.52/65.76      inference(transitivity,[status(thm)],[248, 246])).
% 65.52/65.76  tff(250,plain,
% 65.52/65.76      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.52/65.76      inference(quant_inst,[status(thm)],[])).
% 65.52/65.76  tff(251,plain,
% 65.52/65.76      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.52/65.76      inference(modus_ponens,[status(thm)],[250, 249])).
% 65.52/65.76  tff(252,plain,
% 65.52/65.76      (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.52/65.76      inference(unit_resolution,[status(thm)],[251, 245])).
% 65.52/65.76  tff(253,plain,
% 65.52/65.76      (((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.76      inference(tautology,[status(thm)],[])).
% 65.52/65.76  tff(254,plain,
% 65.52/65.76      ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.76      inference(unit_resolution,[status(thm)],[253, 252])).
% 65.52/65.76  tff(255,plain,
% 65.52/65.76      ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.76      inference(tautology,[status(thm)],[])).
% 65.52/65.76  tff(256,plain,
% 65.52/65.76      ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.76      inference(unit_resolution,[status(thm)],[255, 151])).
% 65.52/65.76  tff(257,plain,
% 65.52/65.76      (s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.76      inference(unit_resolution,[status(thm)],[256, 254])).
% 65.52/65.76  tff(258,plain,
% 65.52/65.76      (^[Xa: $i, Xb: $i, Xc: $i] : refl(((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)) <=> ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)))),
% 65.52/65.76      inference(bind,[status(th)],[])).
% 65.52/65.76  tff(259,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 65.52/65.76      inference(quant_intro,[status(thm)],[258])).
% 65.52/65.76  tff(260,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 65.52/65.76      inference(rewrite,[status(thm)],[])).
% 65.52/65.76  tff(261,axiom,(![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz4_11e')).
% 65.52/65.76  tff(262,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 65.52/65.76      inference(modus_ponens,[status(thm)],[261, 260])).
% 65.52/65.76  tff(263,plain,(
% 65.52/65.76      ![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 65.52/65.76      inference(skolemize,[status(sab)],[262])).
% 65.52/65.76  tff(264,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 65.52/65.76      inference(modus_ponens,[status(thm)],[263, 259])).
% 65.52/65.76  tff(265,plain,
% 65.52/65.76      (((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.76      inference(rewrite,[status(thm)],[])).
% 65.52/65.76  tff(266,plain,
% 65.52/65.76      ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.76      inference(quant_inst,[status(thm)],[])).
% 65.52/65.76  tff(267,plain,
% 65.52/65.76      ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.76      inference(modus_ponens,[status(thm)],[266, 265])).
% 65.52/65.76  tff(268,plain,
% 65.52/65.76      (s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.76      inference(unit_resolution,[status(thm)],[267, 264, 257])).
% 65.52/65.76  tff(269,plain,
% 65.52/65.76      (^[Xa: $i, Xb: $i, Xc: $i] : refl(((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))))),
% 65.52/65.76      inference(bind,[status(th)],[])).
% 65.52/65.76  tff(270,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 65.52/65.76      inference(quant_intro,[status(thm)],[269])).
% 65.52/65.76  tff(271,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 65.52/65.76      inference(rewrite,[status(thm)],[])).
% 65.52/65.76  tff(272,plain,
% 65.52/65.76      (^[Xa: $i, Xb: $i, Xc: $i] : trans(monotonicity(rewrite(((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))), ((((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> (((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)))), rewrite((((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))), ((((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))))),
% 65.52/65.76      inference(bind,[status(th)],[])).
% 65.52/65.76  tff(273,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : (((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 65.52/65.76      inference(quant_intro,[status(thm)],[272])).
% 65.52/65.76  tff(274,axiom,(![Xa: $i, Xb: $i, Xc: $i] : (((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz3_4')).
% 65.52/65.76  tff(275,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 65.52/65.76      inference(modus_ponens,[status(thm)],[274, 273])).
% 65.52/65.76  tff(276,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 65.52/65.76      inference(modus_ponens,[status(thm)],[275, 271])).
% 65.52/65.76  tff(277,plain,(
% 65.52/65.76      ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 65.52/65.76      inference(skolemize,[status(sab)],[276])).
% 65.52/65.76  tff(278,plain,
% 65.52/65.76      (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 65.52/65.76      inference(modus_ponens,[status(thm)],[277, 270])).
% 65.52/65.76  tff(279,plain,
% 65.52/65.76      (((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.76      inference(rewrite,[status(thm)],[])).
% 65.52/65.76  tff(280,plain,
% 65.52/65.76      ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.77      inference(quant_inst,[status(thm)],[])).
% 65.52/65.77  tff(281,plain,
% 65.52/65.77      ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.77      inference(modus_ponens,[status(thm)],[280, 279])).
% 65.52/65.77  tff(282,plain,
% 65.52/65.77      (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.77      inference(unit_resolution,[status(thm)],[281, 278, 181, 151])).
% 65.52/65.77  tff(283,plain,
% 65.52/65.77      (^[Xa: $i, Xp: $i, Xb: $i] : refl((s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) <=> (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)))),
% 65.52/65.77      inference(bind,[status(th)],[])).
% 65.52/65.77  tff(284,plain,
% 65.52/65.77      (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 65.52/65.77      inference(quant_intro,[status(thm)],[283])).
% 65.52/65.77  tff(285,plain,
% 65.52/65.77      (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 65.52/65.77      inference(rewrite,[status(thm)],[])).
% 65.52/65.77  tff(286,plain,
% 65.52/65.77      (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(rewrite((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) <=> ((~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))), (((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb)) <=> (((~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, Xb)))), rewrite((((~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, Xb)) <=> (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))), (((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb)) <=> (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))))),
% 65.52/65.77      inference(bind,[status(th)],[])).
% 65.52/65.77  tff(287,plain,
% 65.52/65.77      (![Xa: $i, Xp: $i, Xb: $i] : ((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 65.52/65.77      inference(quant_intro,[status(thm)],[286])).
% 65.52/65.77  tff(288,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_4b')).
% 65.52/65.77  tff(289,plain,
% 65.52/65.77      (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 65.52/65.77      inference(modus_ponens,[status(thm)],[288, 287])).
% 65.52/65.77  tff(290,plain,
% 65.52/65.77      (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 65.52/65.77      inference(modus_ponens,[status(thm)],[289, 285])).
% 65.52/65.77  tff(291,plain,(
% 65.52/65.77      ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 65.52/65.77      inference(skolemize,[status(sab)],[290])).
% 65.52/65.77  tff(292,plain,
% 65.52/65.77      (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 65.52/65.77      inference(modus_ponens,[status(thm)],[291, 284])).
% 65.52/65.77  tff(293,plain,
% 65.52/65.77      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.77      inference(rewrite,[status(thm)],[])).
% 65.52/65.77  tff(294,plain,
% 65.52/65.77      ((s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) <=> (sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.77      inference(rewrite,[status(thm)],[])).
% 65.52/65.77  tff(295,plain,
% 65.52/65.77      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.52/65.77      inference(monotonicity,[status(thm)],[294])).
% 65.52/65.77  tff(296,plain,
% 65.52/65.77      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.52/65.77      inference(transitivity,[status(thm)],[295, 293])).
% 65.52/65.77  tff(297,plain,
% 65.52/65.77      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.77      inference(quant_inst,[status(thm)],[])).
% 65.52/65.77  tff(298,plain,
% 65.52/65.77      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.52/65.77      inference(modus_ponens,[status(thm)],[297, 296])).
% 65.52/65.77  tff(299,plain,
% 65.52/65.77      (sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.52/65.77      inference(unit_resolution,[status(thm)],[298, 292, 282, 268])).
% 65.52/65.77  tff(300,plain,
% 65.52/65.77      ((~((~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~sameside(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.52/65.77      inference(tautology,[status(thm)],[])).
% 65.52/65.77  tff(301,plain,
% 65.52/65.77      (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.52/65.77      inference(unit_resolution,[status(thm)],[300, 299, 232])).
% 65.52/65.77  tff(302,plain,
% 65.52/65.77      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.52/65.77      inference(rewrite,[status(thm)],[])).
% 65.52/65.77  tff(303,plain,
% 65.52/65.77      ((~((~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))),
% 65.52/65.77      inference(rewrite,[status(thm)],[])).
% 65.52/65.77  tff(304,plain,
% 65.52/65.77      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.52/65.78      inference(monotonicity,[status(thm)],[303])).
% 65.52/65.78  tff(305,plain,
% 65.52/65.78      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.52/65.78      inference(transitivity,[status(thm)],[304, 302])).
% 65.52/65.78  tff(306,plain,
% 65.52/65.78      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.52/65.78      inference(quant_inst,[status(thm)],[])).
% 65.52/65.78  tff(307,plain,
% 65.52/65.78      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))),
% 65.52/65.78      inference(modus_ponens,[status(thm)],[306, 305])).
% 65.52/65.78  tff(308,plain,
% 65.52/65.78      (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))),
% 65.62/65.78      inference(unit_resolution,[status(thm)],[307, 245])).
% 65.62/65.78  tff(309,plain,
% 65.62/65.78      (((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))),
% 65.62/65.78      inference(tautology,[status(thm)],[])).
% 65.62/65.78  tff(310,plain,
% 65.62/65.78      ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.62/65.78      inference(unit_resolution,[status(thm)],[309, 308])).
% 65.62/65.78  tff(311,plain,
% 65.62/65.78      ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.62/65.78      inference(tautology,[status(thm)],[])).
% 65.62/65.78  tff(312,plain,
% 65.62/65.78      ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.62/65.78      inference(unit_resolution,[status(thm)],[311, 151])).
% 65.62/65.78  tff(313,plain,
% 65.62/65.78      (s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.62/65.78      inference(unit_resolution,[status(thm)],[312, 310])).
% 65.62/65.78  tff(314,plain,
% 65.62/65.78      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.62/65.79      inference(rewrite,[status(thm)],[])).
% 65.62/65.79  tff(315,plain,
% 65.62/65.79      ((~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))) <=> (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.62/65.79      inference(rewrite,[status(thm)],[])).
% 65.62/65.79  tff(316,plain,
% 65.62/65.79      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.62/65.79      inference(monotonicity,[status(thm)],[315])).
% 65.62/65.79  tff(317,plain,
% 65.62/65.79      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.62/65.79      inference(transitivity,[status(thm)],[316, 314])).
% 65.62/65.79  tff(318,plain,
% 65.62/65.79      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.62/65.79      inference(quant_inst,[status(thm)],[])).
% 65.62/65.79  tff(319,plain,
% 65.62/65.79      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.63/65.80      inference(modus_ponens,[status(thm)],[318, 317])).
% 65.63/65.80  tff(320,plain,
% 65.63/65.80      (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.63/65.80      inference(unit_resolution,[status(thm)],[319, 245])).
% 65.63/65.80  tff(321,plain,
% 65.63/65.80      (((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.63/65.80      inference(tautology,[status(thm)],[])).
% 65.63/65.80  tff(322,plain,
% 65.63/65.80      ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.63/65.80      inference(unit_resolution,[status(thm)],[321, 320])).
% 65.63/65.80  tff(323,plain,
% 65.63/65.80      ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.63/65.80      inference(tautology,[status(thm)],[])).
% 65.63/65.80  tff(324,plain,
% 65.63/65.80      ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.63/65.80      inference(unit_resolution,[status(thm)],[323, 151])).
% 65.63/65.80  tff(325,plain,
% 65.63/65.80      (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.63/65.80      inference(unit_resolution,[status(thm)],[324, 322])).
% 65.63/65.80  tff(326,plain,
% 65.63/65.80      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : refl(((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))))),
% 65.63/65.80      inference(bind,[status(th)],[])).
% 65.63/65.80  tff(327,plain,
% 65.63/65.80      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 65.63/65.80      inference(quant_intro,[status(thm)],[326])).
% 65.63/65.80  tff(328,plain,
% 65.63/65.80      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 65.63/65.80      inference(rewrite,[status(thm)],[])).
% 65.63/65.80  tff(329,plain,
% 65.63/65.80      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xd)) <=> ((Xc = Xd) | (Xa = Xb))), ((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) <=> (((Xc = Xd) | (Xa = Xb)) | (~s_col(Xa, Xb, Xc))))), rewrite((((Xc = Xd) | (Xa = Xb)) | (~s_col(Xa, Xb, Xc))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)))), ((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc))))), (((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) <=> (((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))))), rewrite((((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd)))), (((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))))), ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) <=> (((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))))), rewrite((((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd)))), ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))))), (((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp)) <=> (((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | s_col(Xa, Xb, Xp)))), rewrite((((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | s_col(Xa, Xb, Xp)) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))), (((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp)) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))))),
% 65.63/65.80      inference(bind,[status(th)],[])).
% 65.63/65.80  tff(330,plain,
% 65.63/65.80      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 65.63/65.80      inference(quant_intro,[status(thm)],[329])).
% 65.63/65.80  tff(331,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aExtCol2')).
% 65.63/65.80  tff(332,plain,
% 65.63/65.80      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 65.63/65.80      inference(modus_ponens,[status(thm)],[331, 330])).
% 65.63/65.80  tff(333,plain,
% 65.63/65.80      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 65.63/65.80      inference(modus_ponens,[status(thm)],[332, 328])).
% 65.63/65.80  tff(334,plain,(
% 65.63/65.80      ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 65.63/65.80      inference(skolemize,[status(sab)],[333])).
% 65.63/65.80  tff(335,plain,
% 65.63/65.80      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 65.63/65.80      inference(modus_ponens,[status(thm)],[334, 327])).
% 65.63/65.80  tff(336,plain,
% 65.63/65.80      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.63/65.80      inference(rewrite,[status(thm)],[])).
% 65.63/65.80  tff(337,plain,
% 65.63/65.80      (((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.63/65.80      inference(rewrite,[status(thm)],[])).
% 65.63/65.80  tff(338,plain,
% 65.63/65.80      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.63/65.80      inference(monotonicity,[status(thm)],[337])).
% 65.63/65.80  tff(339,plain,
% 65.63/65.80      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.63/65.80      inference(transitivity,[status(thm)],[338, 336])).
% 65.63/65.80  tff(340,plain,
% 65.63/65.80      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.63/65.80      inference(quant_inst,[status(thm)],[])).
% 65.63/65.80  tff(341,plain,
% 65.63/65.80      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.63/65.80      inference(modus_ponens,[status(thm)],[340, 339])).
% 65.63/65.80  tff(342,plain,
% 65.63/65.80      ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.63/65.80      inference(unit_resolution,[status(thm)],[341, 335, 181, 325, 313])).
% 65.63/65.80  tff(343,plain,
% 65.63/65.80      (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 65.63/65.80      inference(unit_resolution,[status(thm)],[342, 301, 223])).
% 65.63/65.80  tff(344,plain,
% 65.63/65.80      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.63/65.81      inference(rewrite,[status(thm)],[])).
% 65.63/65.81  tff(345,plain,
% 65.63/65.81      ((~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))))) <=> (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.63/65.81      inference(rewrite,[status(thm)],[])).
% 65.63/65.81  tff(346,plain,
% 65.63/65.81      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.63/65.81      inference(monotonicity,[status(thm)],[345])).
% 65.63/65.81  tff(347,plain,
% 65.63/65.81      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 65.65/65.81      inference(transitivity,[status(thm)],[346, 344])).
% 65.65/65.81  tff(348,plain,
% 65.65/65.81      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))),
% 65.65/65.81      inference(quant_inst,[status(thm)],[])).
% 65.65/65.81  tff(349,plain,
% 65.65/65.81      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.65/65.81      inference(modus_ponens,[status(thm)],[348, 347])).
% 65.65/65.81  tff(350,plain,
% 65.65/65.81      (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.65/65.81      inference(unit_resolution,[status(thm)],[349, 245])).
% 65.65/65.81  tff(351,plain,
% 65.65/65.81      (((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.81      inference(tautology,[status(thm)],[])).
% 65.65/65.81  tff(352,plain,
% 65.65/65.81      ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.81      inference(unit_resolution,[status(thm)],[351, 350])).
% 65.65/65.81  tff(353,plain,
% 65.65/65.81      ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.81      inference(tautology,[status(thm)],[])).
% 65.65/65.81  tff(354,plain,
% 65.65/65.81      ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.81      inference(unit_resolution,[status(thm)],[353, 106])).
% 65.65/65.81  tff(355,plain,
% 65.65/65.81      (s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.81      inference(unit_resolution,[status(thm)],[354, 352])).
% 65.65/65.81  tff(356,plain,
% 65.65/65.81      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 65.65/65.81      inference(quant_inst,[status(thm)],[])).
% 65.65/65.81  tff(357,plain,
% 65.65/65.81      (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[356, 72])).
% 65.65/65.82  tff(358,plain,
% 65.65/65.82      (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(tautology,[status(thm)],[])).
% 65.65/65.82  tff(359,plain,
% 65.65/65.82      ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[358, 357])).
% 65.65/65.82  tff(360,plain,
% 65.65/65.82      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.65/65.82      inference(tautology,[status(thm)],[])).
% 65.65/65.82  tff(361,plain,
% 65.65/65.82      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[360, 114])).
% 65.65/65.82  tff(362,plain,
% 65.65/65.82      (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[361, 359])).
% 65.65/65.82  tff(363,plain,
% 65.65/65.82      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(rewrite,[status(thm)],[])).
% 65.65/65.82  tff(364,plain,
% 65.65/65.82      (((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))) <=> ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(rewrite,[status(thm)],[])).
% 65.65/65.82  tff(365,plain,
% 65.65/65.82      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.65/65.82      inference(monotonicity,[status(thm)],[364])).
% 65.65/65.82  tff(366,plain,
% 65.65/65.82      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(transitivity,[status(thm)],[365, 363])).
% 65.65/65.82  tff(367,plain,
% 65.65/65.82      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))),
% 65.65/65.82      inference(quant_inst,[status(thm)],[])).
% 65.65/65.82  tff(368,plain,
% 65.65/65.82      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(modus_ponens,[status(thm)],[367, 366])).
% 65.65/65.82  tff(369,plain,
% 65.65/65.82      ((~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[368, 335, 32, 181, 362, 355])).
% 65.65/65.82  tff(370,plain,
% 65.65/65.82      (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[369, 343])).
% 65.65/65.82  tff(371,plain,
% 65.65/65.82      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(rewrite,[status(thm)],[])).
% 65.65/65.82  tff(372,plain,
% 65.65/65.82      ((s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) <=> (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(rewrite,[status(thm)],[])).
% 65.65/65.82  tff(373,plain,
% 65.65/65.82      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 65.65/65.82      inference(monotonicity,[status(thm)],[372])).
% 65.65/65.82  tff(374,plain,
% 65.65/65.82      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(transitivity,[status(thm)],[373, 371])).
% 65.65/65.82  tff(375,plain,
% 65.65/65.82      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(quant_inst,[status(thm)],[])).
% 65.65/65.82  tff(376,plain,
% 65.65/65.82      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(modus_ponens,[status(thm)],[375, 374])).
% 65.65/65.82  tff(377,plain,
% 65.65/65.82      (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[376, 292, 370, 139])).
% 65.65/65.82  tff(378,plain,
% 65.65/65.82      (s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) <=> s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(monotonicity,[status(thm)],[59])).
% 65.65/65.82  tff(379,plain,
% 65.65/65.82      (s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) <=> s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(symmetry,[status(thm)],[378])).
% 65.65/65.82  tff(380,plain,
% 65.65/65.82      (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 65.65/65.82      inference(tautology,[status(thm)],[])).
% 65.65/65.82  tff(381,plain,
% 65.65/65.82      ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[380, 96])).
% 65.65/65.82  tff(382,plain,
% 65.65/65.82      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(tautology,[status(thm)],[])).
% 65.65/65.82  tff(383,plain,
% 65.65/65.82      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[382, 103])).
% 65.65/65.82  tff(384,plain,
% 65.65/65.82      (s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(unit_resolution,[status(thm)],[383, 381])).
% 65.65/65.82  tff(385,plain,
% 65.65/65.82      (s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 65.65/65.82      inference(modus_ponens,[status(thm)],[384, 379])).
% 65.65/65.82  tff(386,plain,
% 65.65/65.82      ((s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) <=> (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.65/65.83      inference(monotonicity,[status(thm)],[59])).
% 65.65/65.83  tff(387,plain,
% 65.65/65.83      ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 65.65/65.83      inference(symmetry,[status(thm)],[386])).
% 65.65/65.83  tff(388,plain,
% 65.65/65.83      ((~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 65.65/65.83      inference(monotonicity,[status(thm)],[387])).
% 65.65/65.83  tff(389,plain,
% 65.65/65.83      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.65/65.83      inference(rewrite,[status(thm)],[])).
% 65.65/65.83  tff(390,plain,
% 65.65/65.83      ((~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.65/65.83      inference(rewrite,[status(thm)],[])).
% 65.65/65.83  tff(391,plain,
% 65.65/65.83      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.65/65.83      inference(monotonicity,[status(thm)],[390])).
% 65.65/65.83  tff(392,plain,
% 65.65/65.83      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.65/65.83      inference(transitivity,[status(thm)],[391, 389])).
% 65.65/65.83  tff(393,plain,
% 65.65/65.83      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 65.65/65.83      inference(quant_inst,[status(thm)],[])).
% 65.65/65.83  tff(394,plain,
% 65.65/65.83      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.65/65.83      inference(modus_ponens,[status(thm)],[393, 392])).
% 65.65/65.83  tff(395,plain,
% 65.65/65.83      (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.65/65.83      inference(unit_resolution,[status(thm)],[394, 169])).
% 65.65/65.83  tff(396,plain,
% 65.65/65.83      (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 65.65/65.84      inference(tautology,[status(thm)],[])).
% 65.65/65.84  tff(397,plain,
% 65.65/65.84      ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.65/65.84      inference(unit_resolution,[status(thm)],[396, 395])).
% 65.65/65.84  tff(398,plain,
% 65.65/65.84      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.65/65.84      inference(tautology,[status(thm)],[])).
% 65.65/65.84  tff(399,plain,
% 65.65/65.84      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.65/65.84      inference(unit_resolution,[status(thm)],[398, 103])).
% 65.65/65.84  tff(400,plain,
% 65.65/65.84      (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.65/65.84      inference(unit_resolution,[status(thm)],[399, 397])).
% 65.65/65.84  tff(401,plain,
% 65.65/65.84      (~(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 65.65/65.84      inference(modus_ponens,[status(thm)],[400, 388])).
% 65.65/65.84  tff(402,plain,
% 65.65/65.84      (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))),
% 65.65/65.84      inference(tautology,[status(thm)],[])).
% 65.65/65.84  tff(403,plain,
% 65.65/65.84      ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 65.65/65.84      inference(unit_resolution,[status(thm)],[402, 96])).
% 65.65/65.84  tff(404,plain,
% 65.65/65.84      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 65.65/65.84      inference(tautology,[status(thm)],[])).
% 65.65/65.84  tff(405,plain,
% 65.65/65.84      ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 65.65/65.84      inference(unit_resolution,[status(thm)],[404, 103])).
% 65.65/65.84  tff(406,plain,
% 65.65/65.84      (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)),
% 65.65/65.84      inference(unit_resolution,[status(thm)],[405, 403])).
% 65.65/65.84  tff(407,plain,
% 65.65/65.84      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.84      inference(rewrite,[status(thm)],[])).
% 65.65/65.84  tff(408,plain,
% 65.65/65.84      (((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.84      inference(rewrite,[status(thm)],[])).
% 65.65/65.84  tff(409,plain,
% 65.65/65.84      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.65/65.84      inference(monotonicity,[status(thm)],[408])).
% 65.65/65.84  tff(410,plain,
% 65.65/65.84      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.84      inference(transitivity,[status(thm)],[409, 407])).
% 65.65/65.84  tff(411,plain,
% 65.65/65.84      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 65.65/65.84      inference(quant_inst,[status(thm)],[])).
% 65.65/65.84  tff(412,plain,
% 65.65/65.84      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.84      inference(modus_ponens,[status(thm)],[411, 410])).
% 65.65/65.84  tff(413,plain,
% 65.65/65.84      (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.84      inference(unit_resolution,[status(thm)],[412, 191, 181, 406, 401, 385, 377])).
% 65.65/65.84  tff(414,plain,
% 65.65/65.84      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.65/65.85      inference(rewrite,[status(thm)],[])).
% 65.65/65.85  tff(415,plain,
% 65.65/65.85      ((~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.65/65.85      inference(rewrite,[status(thm)],[])).
% 65.65/65.85  tff(416,plain,
% 65.65/65.85      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.65/65.85      inference(monotonicity,[status(thm)],[415])).
% 65.65/65.85  tff(417,plain,
% 65.65/65.85      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.65/65.85      inference(transitivity,[status(thm)],[416, 414])).
% 65.65/65.85  tff(418,plain,
% 65.65/65.85      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.65/65.85      inference(quant_inst,[status(thm)],[])).
% 65.65/65.85  tff(419,plain,
% 65.65/65.85      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.65/65.85      inference(modus_ponens,[status(thm)],[418, 417])).
% 65.65/65.85  tff(420,plain,
% 65.65/65.85      (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.65/65.85      inference(unit_resolution,[status(thm)],[419, 169])).
% 65.65/65.85  tff(421,plain,
% 65.65/65.85      (((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.85      inference(tautology,[status(thm)],[])).
% 65.65/65.85  tff(422,plain,
% 65.65/65.85      ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.85      inference(unit_resolution,[status(thm)],[421, 420])).
% 65.65/65.85  tff(423,plain,
% 65.65/65.85      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.85      inference(tautology,[status(thm)],[])).
% 65.65/65.85  tff(424,plain,
% 65.65/65.85      ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.85      inference(unit_resolution,[status(thm)],[423, 198])).
% 65.65/65.85  tff(425,plain,
% 65.65/65.85      (s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.85      inference(unit_resolution,[status(thm)],[424, 422])).
% 65.65/65.85  tff(426,plain,
% 65.65/65.85      (^[Xa: $i, Xp: $i, Xb: $i] : refl(((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) <=> ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)))),
% 65.65/65.85      inference(bind,[status(th)],[])).
% 65.65/65.85  tff(427,plain,
% 65.65/65.85      (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 65.65/65.85      inference(quant_intro,[status(thm)],[426])).
% 65.65/65.85  tff(428,plain,
% 65.65/65.85      (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 65.65/65.86      inference(rewrite,[status(thm)],[])).
% 65.65/65.86  tff(429,plain,
% 65.65/65.86      (^[Xa: $i, Xp: $i, Xb: $i] : rewrite((((~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) | (~s_t(Xp, Xa, Xb))) <=> ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)))),
% 65.65/65.86      inference(bind,[status(th)],[])).
% 65.65/65.86  tff(430,plain,
% 65.65/65.86      (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) | (~s_t(Xp, Xa, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 65.65/65.86      inference(quant_intro,[status(thm)],[429])).
% 65.65/65.86  tff(431,axiom,(![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) | (~s_t(Xp, Xa, Xb)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_13b')).
% 65.65/65.86  tff(432,plain,
% 65.65/65.86      (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[431, 430])).
% 65.65/65.86  tff(433,plain,
% 65.65/65.86      (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[432, 428])).
% 65.65/65.86  tff(434,plain,(
% 65.65/65.86      ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 65.65/65.86      inference(skolemize,[status(sab)],[433])).
% 65.65/65.86  tff(435,plain,
% 65.65/65.86      (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[434, 427])).
% 65.65/65.86  tff(436,plain,
% 65.65/65.86      (((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(rewrite,[status(thm)],[])).
% 65.65/65.86  tff(437,plain,
% 65.65/65.86      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(quant_inst,[status(thm)],[])).
% 65.65/65.86  tff(438,plain,
% 65.65/65.86      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[437, 436])).
% 65.65/65.86  tff(439,plain,
% 65.65/65.86      ((~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.86      inference(unit_resolution,[status(thm)],[438, 435, 198])).
% 65.65/65.86  tff(440,plain,
% 65.65/65.86      (le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.86      inference(unit_resolution,[status(thm)],[439, 425])).
% 65.65/65.86  tff(441,plain,
% 65.65/65.86      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i] : refl((s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))))),
% 65.65/65.86      inference(bind,[status(th)],[])).
% 65.65/65.86  tff(442,plain,
% 65.65/65.86      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 65.65/65.86      inference(quant_intro,[status(thm)],[441])).
% 65.65/65.86  tff(443,plain,
% 65.65/65.86      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 65.65/65.86      inference(rewrite,[status(thm)],[])).
% 65.65/65.86  tff(444,plain,
% 65.65/65.86      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i] : trans(monotonicity(rewrite(((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> ((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))), ((((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> (((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)))), rewrite((((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))), ((((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))))),
% 65.65/65.86      inference(bind,[status(th)],[])).
% 65.65/65.86  tff(445,plain,
% 65.65/65.86      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 65.65/65.86      inference(quant_intro,[status(thm)],[444])).
% 65.65/65.86  tff(446,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz5_9')).
% 65.65/65.86  tff(447,plain,
% 65.65/65.86      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[446, 445])).
% 65.65/65.86  tff(448,plain,
% 65.65/65.86      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[447, 443])).
% 65.65/65.86  tff(449,plain,(
% 65.65/65.86      ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 65.65/65.86      inference(skolemize,[status(sab)],[448])).
% 65.65/65.86  tff(450,plain,
% 65.65/65.86      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[449, 442])).
% 65.65/65.86  tff(451,plain,
% 65.65/65.86      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(rewrite,[status(thm)],[])).
% 65.65/65.86  tff(452,plain,
% 65.65/65.86      ((s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(rewrite,[status(thm)],[])).
% 65.65/65.86  tff(453,plain,
% 65.65/65.86      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.86      inference(monotonicity,[status(thm)],[452])).
% 65.65/65.86  tff(454,plain,
% 65.65/65.86      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(transitivity,[status(thm)],[453, 451])).
% 65.65/65.86  tff(455,plain,
% 65.65/65.86      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.86      inference(quant_inst,[status(thm)],[])).
% 65.65/65.86  tff(456,plain,
% 65.65/65.86      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.86      inference(modus_ponens,[status(thm)],[455, 454])).
% 65.65/65.86  tff(457,plain,
% 65.65/65.86      (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.86      inference(unit_resolution,[status(thm)],[456, 450, 440])).
% 65.65/65.86  tff(458,plain,
% 65.65/65.86      (sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) <=> sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.86      inference(monotonicity,[status(thm)],[59, 59])).
% 65.65/65.86  tff(459,plain,
% 65.65/65.86      (sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(symmetry,[status(thm)],[458])).
% 65.65/65.86  tff(460,plain,
% 65.65/65.86      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(rewrite,[status(thm)],[])).
% 65.65/65.86  tff(461,plain,
% 65.65/65.86      (((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(rewrite,[status(thm)],[])).
% 65.65/65.86  tff(462,plain,
% 65.65/65.86      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.86      inference(monotonicity,[status(thm)],[461])).
% 65.65/65.86  tff(463,plain,
% 65.65/65.86      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.86      inference(transitivity,[status(thm)],[462, 460])).
% 65.65/65.86  tff(464,plain,
% 65.65/65.86      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.65/65.87      inference(quant_inst,[status(thm)],[])).
% 65.65/65.87  tff(465,plain,
% 65.65/65.87      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[464, 463])).
% 65.65/65.87  tff(466,plain,
% 65.65/65.87      (sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.87      inference(unit_resolution,[status(thm)],[465, 191, 400, 406, 384])).
% 65.65/65.87  tff(467,plain,
% 65.65/65.87      (sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[466, 459])).
% 65.65/65.87  tff(468,plain,
% 65.65/65.87      (s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.87      inference(monotonicity,[status(thm)],[59])).
% 65.65/65.87  tff(469,plain,
% 65.65/65.87      (s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.87      inference(symmetry,[status(thm)],[468])).
% 65.65/65.87  tff(470,plain,
% 65.65/65.87      (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i] : refl(((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)) <=> ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)))),
% 65.65/65.87      inference(bind,[status(th)],[])).
% 65.65/65.87  tff(471,plain,
% 65.65/65.87      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 65.65/65.87      inference(quant_intro,[status(thm)],[470])).
% 65.65/65.87  tff(472,plain,
% 65.65/65.87      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 65.65/65.87      inference(rewrite,[status(thm)],[])).
% 65.65/65.87  tff(473,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz2_2')).
% 65.65/65.87  tff(474,plain,
% 65.65/65.87      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[473, 472])).
% 65.65/65.87  tff(475,plain,(
% 65.65/65.87      ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 65.65/65.87      inference(skolemize,[status(sab)],[474])).
% 65.65/65.87  tff(476,plain,
% 65.65/65.87      (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[475, 471])).
% 65.65/65.87  tff(477,plain,
% 65.65/65.87      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.87      inference(rewrite,[status(thm)],[])).
% 65.65/65.87  tff(478,plain,
% 65.65/65.87      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.87      inference(quant_inst,[status(thm)],[])).
% 65.65/65.87  tff(479,plain,
% 65.65/65.87      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[478, 477])).
% 65.65/65.87  tff(480,plain,
% 65.65/65.87      (s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.87      inference(unit_resolution,[status(thm)],[479, 476, 36])).
% 65.65/65.87  tff(481,plain,
% 65.65/65.87      (s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[480, 469])).
% 65.65/65.87  tff(482,plain,
% 65.65/65.87      (^[Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : refl(((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) <=> ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))),
% 65.65/65.87      inference(bind,[status(th)],[])).
% 65.65/65.87  tff(483,plain,
% 65.65/65.87      (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) <=> ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 65.65/65.87      inference(quant_intro,[status(thm)],[482])).
% 65.65/65.87  tff(484,plain,
% 65.65/65.87      (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) <=> ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 65.65/65.87      inference(rewrite,[status(thm)],[])).
% 65.65/65.87  tff(485,plain,
% 65.65/65.87      (^[Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xr = Xa) | (Xb = Xc)) <=> ((Xb = Xc) | (Xr = Xa))), ((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) <=> (((Xb = Xc) | (Xr = Xa)) | (~sameside(Xp, Xa, Xr))))), rewrite((((Xb = Xc) | (Xr = Xa)) | (~sameside(Xp, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), ((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), (((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) <=> (((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xp, Xb, Xc))))), rewrite((((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xp, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), (((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), ((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) <=> (((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~sameside(Xq, Xa, Xr))))), rewrite((((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~sameside(Xq, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), ((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) <=> (((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xq, Xb, Xc))))), rewrite((((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xq, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), ((((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq)) <=> (((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (Xp = Xq)))), rewrite((((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (Xp = Xq)) <=> ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), ((((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq)) <=> ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))))),
% 65.65/65.87      inference(bind,[status(th)],[])).
% 65.65/65.87  tff(486,plain,
% 65.65/65.87      (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq)) <=> ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 65.65/65.87      inference(quant_intro,[status(thm)],[485])).
% 65.65/65.87  tff(487,axiom,(![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_11b')).
% 65.65/65.87  tff(488,plain,
% 65.65/65.87      (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[487, 486])).
% 65.65/65.87  tff(489,plain,
% 65.65/65.87      (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[488, 484])).
% 65.65/65.87  tff(490,plain,(
% 65.65/65.87      ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 65.65/65.87      inference(skolemize,[status(sab)],[489])).
% 65.65/65.87  tff(491,plain,
% 65.65/65.87      (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 65.65/65.87      inference(modus_ponens,[status(thm)],[490, 483])).
% 65.65/65.87  tff(492,plain,
% 65.65/65.87      (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.65/65.87      inference(rewrite,[status(thm)],[])).
% 65.65/65.87  tff(493,plain,
% 65.65/65.87      (((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.65/65.87      inference(rewrite,[status(thm)],[])).
% 65.65/65.87  tff(494,plain,
% 65.65/65.87      (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.65/65.88      inference(monotonicity,[status(thm)],[493])).
% 65.65/65.88  tff(495,plain,
% 65.65/65.88      (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.65/65.88      inference(transitivity,[status(thm)],[494, 492])).
% 65.65/65.88  tff(496,plain,
% 65.65/65.88      ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 65.65/65.88      inference(quant_inst,[status(thm)],[])).
% 65.65/65.88  tff(497,plain,
% 65.65/65.88      ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.88      inference(modus_ponens,[status(thm)],[496, 495])).
% 65.65/65.88  tff(498,plain,
% 65.65/65.88      (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.88      inference(unit_resolution,[status(thm)],[497, 491, 206, 401, 481, 467, 457, 413])).
% 65.65/65.88  tff(499,plain,
% 65.65/65.88      (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 65.65/65.88      inference(transitivity,[status(thm)],[498, 59])).
% 65.65/65.88  tff(500,plain,
% 65.65/65.88      (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.88      inference(tautology,[status(thm)],[])).
% 65.65/65.88  tff(501,plain,
% 65.65/65.88      ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.88      inference(unit_resolution,[status(thm)],[500, 20])).
% 65.65/65.88  tff(502,plain,
% 65.65/65.88      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.88      inference(tautology,[status(thm)],[])).
% 65.65/65.88  tff(503,plain,
% 65.65/65.88      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.88      inference(unit_resolution,[status(thm)],[502, 33, 32, 31])).
% 65.65/65.88  tff(504,plain,
% 65.65/65.88      (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.88      inference(unit_resolution,[status(thm)],[503, 501])).
% 65.65/65.88  tff(505,plain,
% 65.65/65.88      (((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.88      inference(rewrite,[status(thm)],[])).
% 65.65/65.88  tff(506,plain,
% 65.65/65.88      ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.88      inference(quant_inst,[status(thm)],[])).
% 65.65/65.88  tff(507,plain,
% 65.65/65.88      ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.88      inference(modus_ponens,[status(thm)],[506, 505])).
% 65.65/65.88  tff(508,plain,
% 65.65/65.88      (s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.88      inference(unit_resolution,[status(thm)],[507, 43, 504])).
% 65.65/65.88  tff(509,plain,
% 65.65/65.88      (((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.89      inference(rewrite,[status(thm)],[])).
% 65.65/65.89  tff(510,plain,
% 65.65/65.89      ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.65/65.89      inference(quant_inst,[status(thm)],[])).
% 65.65/65.89  tff(511,plain,
% 65.65/65.89      ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.89      inference(modus_ponens,[status(thm)],[510, 509])).
% 65.65/65.89  tff(512,plain,
% 65.65/65.89      (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.89      inference(unit_resolution,[status(thm)],[511, 54, 508])).
% 65.65/65.89  tff(513,plain,
% 65.65/65.89      (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 65.65/65.89      inference(symmetry,[status(thm)],[512])).
% 65.65/65.89  tff(514,plain,
% 65.65/65.89      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.65/65.89      inference(quant_inst,[status(thm)],[])).
% 65.65/65.89  tff(515,plain,
% 65.65/65.89      (~((~((~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.65/65.89      inference(unit_resolution,[status(thm)],[514, 72])).
% 65.65/65.89  tff(516,plain,
% 65.65/65.89      (((~((~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) | ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.65/65.89      inference(tautology,[status(thm)],[])).
% 65.65/65.89  tff(517,plain,
% 65.65/65.89      ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.65/65.89      inference(unit_resolution,[status(thm)],[516, 515])).
% 65.65/65.89  tff(518,plain,
% 65.65/65.89      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.65/65.89      inference(rewrite,[status(thm)],[])).
% 65.65/65.89  tff(519,plain,
% 65.65/65.89      ((~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.65/65.89      inference(rewrite,[status(thm)],[])).
% 65.65/65.89  tff(520,plain,
% 65.65/65.89      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.65/65.89      inference(monotonicity,[status(thm)],[519])).
% 65.65/65.89  tff(521,plain,
% 65.65/65.89      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.65/65.89      inference(transitivity,[status(thm)],[520, 518])).
% 65.65/65.89  tff(522,plain,
% 65.65/65.89      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.65/65.89      inference(quant_inst,[status(thm)],[])).
% 65.65/65.89  tff(523,plain,
% 65.65/65.89      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.65/65.89      inference(modus_ponens,[status(thm)],[522, 521])).
% 65.65/65.89  tff(524,plain,
% 65.65/65.89      (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.65/65.89      inference(unit_resolution,[status(thm)],[523, 89])).
% 65.65/65.89  tff(525,plain,
% 65.65/65.89      (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.65/65.89      inference(tautology,[status(thm)],[])).
% 65.65/65.89  tff(526,plain,
% 65.65/65.89      ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.89      inference(unit_resolution,[status(thm)],[525, 524])).
% 65.65/65.89  tff(527,plain,
% 65.65/65.89      (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.90      inference(tautology,[status(thm)],[])).
% 65.65/65.90  tff(528,plain,
% 65.65/65.90      ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[527, 20])).
% 65.65/65.90  tff(529,plain,
% 65.65/65.90      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(tautology,[status(thm)],[])).
% 65.65/65.90  tff(530,plain,
% 65.65/65.90      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[529, 33, 32, 31])).
% 65.65/65.90  tff(531,plain,
% 65.65/65.90      (sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[530, 528])).
% 65.65/65.90  tff(532,plain,
% 65.65/65.90      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.90      inference(tautology,[status(thm)],[])).
% 65.65/65.90  tff(533,plain,
% 65.65/65.90      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[532, 531])).
% 65.65/65.90  tff(534,plain,
% 65.65/65.90      (s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[533, 526])).
% 65.65/65.90  tff(535,plain,
% 65.65/65.90      ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.65/65.90      inference(tautology,[status(thm)],[])).
% 65.65/65.90  tff(536,plain,
% 65.65/65.90      ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[535, 534])).
% 65.65/65.90  tff(537,plain,
% 65.65/65.90      (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[536, 517])).
% 65.65/65.90  tff(538,plain,
% 65.65/65.90      (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.90      inference(tautology,[status(thm)],[])).
% 65.65/65.90  tff(539,plain,
% 65.65/65.90      ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[538, 20])).
% 65.65/65.90  tff(540,plain,
% 65.65/65.90      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(tautology,[status(thm)],[])).
% 65.65/65.90  tff(541,plain,
% 65.65/65.90      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[540, 33, 32, 31])).
% 65.65/65.90  tff(542,plain,
% 65.65/65.90      (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[541, 539])).
% 65.65/65.90  tff(543,plain,
% 65.65/65.90      (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.90      inference(rewrite,[status(thm)],[])).
% 65.65/65.90  tff(544,plain,
% 65.65/65.90      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.65/65.90      inference(quant_inst,[status(thm)],[])).
% 65.65/65.90  tff(545,plain,
% 65.65/65.90      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.90      inference(modus_ponens,[status(thm)],[544, 543])).
% 65.65/65.90  tff(546,plain,
% 65.65/65.90      (sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[545, 121, 542])).
% 65.65/65.90  tff(547,plain,
% 65.65/65.90      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.65/65.90      inference(rewrite,[status(thm)],[])).
% 65.65/65.90  tff(548,plain,
% 65.65/65.90      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.65/65.90      inference(quant_inst,[status(thm)],[])).
% 65.65/65.90  tff(549,plain,
% 65.65/65.90      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.65/65.90      inference(modus_ponens,[status(thm)],[548, 547])).
% 65.65/65.90  tff(550,plain,
% 65.65/65.90      (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.90      inference(unit_resolution,[status(thm)],[549, 135, 546, 537])).
% 65.65/65.90  tff(551,plain,
% 65.65/65.90      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.65/65.90      inference(rewrite,[status(thm)],[])).
% 65.65/65.90  tff(552,plain,
% 65.65/65.90      ((~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.65/65.90      inference(rewrite,[status(thm)],[])).
% 65.65/65.90  tff(553,plain,
% 65.65/65.90      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.65/65.90      inference(monotonicity,[status(thm)],[552])).
% 65.65/65.90  tff(554,plain,
% 65.65/65.90      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.65/65.91      inference(transitivity,[status(thm)],[553, 551])).
% 65.65/65.91  tff(555,plain,
% 65.65/65.91      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.65/65.91      inference(quant_inst,[status(thm)],[])).
% 65.65/65.91  tff(556,plain,
% 65.65/65.91      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.65/65.91      inference(modus_ponens,[status(thm)],[555, 554])).
% 65.65/65.91  tff(557,plain,
% 65.65/65.91      (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.65/65.91      inference(unit_resolution,[status(thm)],[556, 89])).
% 65.65/65.91  tff(558,plain,
% 65.65/65.91      (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.65/65.91      inference(tautology,[status(thm)],[])).
% 65.65/65.91  tff(559,plain,
% 65.65/65.91      ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.91      inference(unit_resolution,[status(thm)],[558, 557])).
% 65.65/65.91  tff(560,plain,
% 65.65/65.91      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.91      inference(tautology,[status(thm)],[])).
% 65.65/65.91  tff(561,plain,
% 65.65/65.91      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.91      inference(unit_resolution,[status(thm)],[560, 542])).
% 65.65/65.91  tff(562,plain,
% 65.65/65.91      (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.65/65.91      inference(unit_resolution,[status(thm)],[561, 559])).
% 65.65/65.91  tff(563,plain,
% 65.65/65.91      (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))),
% 65.65/65.91      inference(tautology,[status(thm)],[])).
% 65.65/65.91  tff(564,plain,
% 65.65/65.91      ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 65.65/65.91      inference(unit_resolution,[status(thm)],[563, 557])).
% 65.65/65.91  tff(565,plain,
% 65.65/65.91      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 65.65/65.91      inference(tautology,[status(thm)],[])).
% 65.65/65.91  tff(566,plain,
% 65.65/65.91      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 65.65/65.91      inference(unit_resolution,[status(thm)],[565, 542])).
% 65.65/65.91  tff(567,plain,
% 65.65/65.91      (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)),
% 65.65/65.91      inference(unit_resolution,[status(thm)],[566, 564])).
% 65.65/65.91  tff(568,plain,
% 65.65/65.91      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.75/65.91      inference(rewrite,[status(thm)],[])).
% 65.75/65.91  tff(569,plain,
% 65.75/65.91      ((~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.75/65.91      inference(rewrite,[status(thm)],[])).
% 65.75/65.91  tff(570,plain,
% 65.75/65.91      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.75/65.91      inference(monotonicity,[status(thm)],[569])).
% 65.75/65.91  tff(571,plain,
% 65.75/65.91      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.75/65.92      inference(transitivity,[status(thm)],[570, 568])).
% 65.75/65.92  tff(572,plain,
% 65.75/65.92      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.75/65.92      inference(quant_inst,[status(thm)],[])).
% 65.75/65.92  tff(573,plain,
% 65.75/65.92      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.75/65.92      inference(modus_ponens,[status(thm)],[572, 571])).
% 65.75/65.92  tff(574,plain,
% 65.75/65.92      (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.75/65.92      inference(unit_resolution,[status(thm)],[573, 169])).
% 65.75/65.92  tff(575,plain,
% 65.75/65.92      (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 65.75/65.92      inference(tautology,[status(thm)],[])).
% 65.75/65.92  tff(576,plain,
% 65.75/65.92      ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.75/65.92      inference(unit_resolution,[status(thm)],[575, 574])).
% 65.75/65.92  tff(577,plain,
% 65.75/65.92      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.75/65.92      inference(tautology,[status(thm)],[])).
% 65.75/65.92  tff(578,plain,
% 65.75/65.92      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.75/65.92      inference(unit_resolution,[status(thm)],[577, 542])).
% 65.75/65.92  tff(579,plain,
% 65.75/65.92      (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.75/65.92      inference(unit_resolution,[status(thm)],[578, 576])).
% 65.75/65.92  tff(580,plain,
% 65.75/65.92      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.92      inference(rewrite,[status(thm)],[])).
% 65.75/65.92  tff(581,plain,
% 65.75/65.92      (((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.92      inference(rewrite,[status(thm)],[])).
% 65.75/65.92  tff(582,plain,
% 65.75/65.92      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.92      inference(monotonicity,[status(thm)],[581])).
% 65.75/65.92  tff(583,plain,
% 65.75/65.92      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.92      inference(transitivity,[status(thm)],[582, 580])).
% 65.75/65.92  tff(584,plain,
% 65.75/65.92      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.75/65.92      inference(quant_inst,[status(thm)],[])).
% 65.75/65.92  tff(585,plain,
% 65.75/65.92      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.92      inference(modus_ponens,[status(thm)],[584, 583])).
% 65.75/65.92  tff(586,plain,
% 65.75/65.92      (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.92      inference(unit_resolution,[status(thm)],[585, 191, 579, 567, 562])).
% 65.75/65.92  tff(587,plain,
% 65.75/65.92      ((Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) <=> (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)),
% 65.75/65.92      inference(commutativity,[status(thm)],[])).
% 65.75/65.92  tff(588,plain,
% 65.75/65.92      ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) <=> (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.92      inference(symmetry,[status(thm)],[587])).
% 65.75/65.92  tff(589,plain,
% 65.75/65.92      ((~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)) <=> (~(Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.92      inference(monotonicity,[status(thm)],[588])).
% 65.75/65.92  tff(590,plain,
% 65.75/65.92      (~(Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.92      inference(modus_ponens,[status(thm)],[567, 589])).
% 65.75/65.92  tff(591,plain,
% 65.75/65.92      ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.75/65.92      inference(commutativity,[status(thm)],[])).
% 65.75/65.92  tff(592,plain,
% 65.75/65.92      ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.92      inference(symmetry,[status(thm)],[591])).
% 65.75/65.92  tff(593,plain,
% 65.75/65.92      ((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.92      inference(monotonicity,[status(thm)],[592])).
% 65.75/65.92  tff(594,plain,
% 65.75/65.92      (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.92      inference(modus_ponens,[status(thm)],[579, 593])).
% 65.75/65.92  tff(595,plain,
% 65.75/65.92      (((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.92      inference(rewrite,[status(thm)],[])).
% 65.75/65.92  tff(596,plain,
% 65.75/65.92      (((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) <=> ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.92      inference(rewrite,[status(thm)],[])).
% 65.75/65.92  tff(597,plain,
% 65.75/65.92      (((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.75/65.93      inference(monotonicity,[status(thm)],[596])).
% 65.75/65.93  tff(598,plain,
% 65.75/65.93      (((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.93      inference(transitivity,[status(thm)],[597, 595])).
% 65.75/65.93  tff(599,plain,
% 65.75/65.93      ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.93      inference(quant_inst,[status(thm)],[])).
% 65.75/65.93  tff(600,plain,
% 65.75/65.93      ((~![Xp: $i, Xq: $i, Xr: $i, Xa: $i] : ((Xp = Xq) | (~sameside(Xa, Xp, Xq)) | s_col(Xa, Xp, Xq) | (~s_t(Xq, Xp, Xr)) | (Xp = Xr))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (Xb!1 = c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.93      inference(modus_ponens,[status(thm)],[599, 598])).
% 65.75/65.93  tff(601,plain,
% 65.75/65.93      (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.93      inference(unit_resolution,[status(thm)],[600, 216, 562, 594, 590, 586])).
% 65.75/65.93  tff(602,plain,
% 65.75/65.93      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))))),
% 65.75/65.93      inference(rewrite,[status(thm)],[])).
% 65.75/65.93  tff(603,plain,
% 65.75/65.93      ((~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))))),
% 65.75/65.93      inference(rewrite,[status(thm)],[])).
% 65.75/65.93  tff(604,plain,
% 65.75/65.93      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))))),
% 65.75/65.94      inference(monotonicity,[status(thm)],[603])).
% 65.75/65.94  tff(605,plain,
% 65.75/65.94      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))))),
% 65.75/65.94      inference(transitivity,[status(thm)],[604, 602])).
% 65.75/65.94  tff(606,plain,
% 65.75/65.94      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.75/65.94      inference(quant_inst,[status(thm)],[])).
% 65.75/65.94  tff(607,plain,
% 65.75/65.94      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))))),
% 65.75/65.94      inference(modus_ponens,[status(thm)],[606, 605])).
% 65.75/65.94  tff(608,plain,
% 65.75/65.94      (~((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))),
% 65.75/65.94      inference(unit_resolution,[status(thm)],[607, 169])).
% 65.75/65.94  tff(609,plain,
% 65.75/65.94      (((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))) | ((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.94      inference(tautology,[status(thm)],[])).
% 65.75/65.94  tff(610,plain,
% 65.75/65.94      ((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.94      inference(unit_resolution,[status(thm)],[609, 608])).
% 65.75/65.94  tff(611,plain,
% 65.75/65.94      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.75/65.94      inference(rewrite,[status(thm)],[])).
% 65.75/65.94  tff(612,plain,
% 65.75/65.94      ((~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.75/65.95      inference(rewrite,[status(thm)],[])).
% 65.75/65.95  tff(613,plain,
% 65.75/65.95      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.75/65.95      inference(monotonicity,[status(thm)],[612])).
% 65.75/65.95  tff(614,plain,
% 65.75/65.95      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.75/65.95      inference(transitivity,[status(thm)],[613, 611])).
% 65.75/65.95  tff(615,plain,
% 65.75/65.95      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.75/65.95      inference(quant_inst,[status(thm)],[])).
% 65.75/65.95  tff(616,plain,
% 65.75/65.95      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.75/65.95      inference(modus_ponens,[status(thm)],[615, 614])).
% 65.75/65.95  tff(617,plain,
% 65.75/65.95      (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[616, 245])).
% 65.75/65.96  tff(618,plain,
% 65.75/65.96      (((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.96      inference(tautology,[status(thm)],[])).
% 65.75/65.96  tff(619,plain,
% 65.75/65.96      ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[618, 617])).
% 65.75/65.96  tff(620,plain,
% 65.75/65.96      ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.96      inference(tautology,[status(thm)],[])).
% 65.75/65.96  tff(621,plain,
% 65.75/65.96      ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[620, 562])).
% 65.75/65.96  tff(622,plain,
% 65.75/65.96      (s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[621, 619])).
% 65.75/65.96  tff(623,plain,
% 65.75/65.96      (((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.96      inference(rewrite,[status(thm)],[])).
% 65.75/65.96  tff(624,plain,
% 65.75/65.96      ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.96      inference(quant_inst,[status(thm)],[])).
% 65.75/65.96  tff(625,plain,
% 65.75/65.96      ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.96      inference(modus_ponens,[status(thm)],[624, 623])).
% 65.75/65.96  tff(626,plain,
% 65.75/65.96      (s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[625, 264, 622])).
% 65.75/65.96  tff(627,plain,
% 65.75/65.96      (((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.75/65.96      inference(rewrite,[status(thm)],[])).
% 65.75/65.96  tff(628,plain,
% 65.75/65.96      ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.75/65.96      inference(quant_inst,[status(thm)],[])).
% 65.75/65.96  tff(629,plain,
% 65.75/65.96      ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.96      inference(modus_ponens,[status(thm)],[628, 627])).
% 65.75/65.96  tff(630,plain,
% 65.75/65.96      (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[629, 278, 579, 562])).
% 65.75/65.96  tff(631,plain,
% 65.75/65.96      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.75/65.96      inference(rewrite,[status(thm)],[])).
% 65.75/65.96  tff(632,plain,
% 65.75/65.96      ((s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) <=> (sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.75/65.96      inference(rewrite,[status(thm)],[])).
% 65.75/65.96  tff(633,plain,
% 65.75/65.96      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.75/65.96      inference(monotonicity,[status(thm)],[632])).
% 65.75/65.96  tff(634,plain,
% 65.75/65.96      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.75/65.96      inference(transitivity,[status(thm)],[633, 631])).
% 65.75/65.96  tff(635,plain,
% 65.75/65.96      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.96      inference(quant_inst,[status(thm)],[])).
% 65.75/65.96  tff(636,plain,
% 65.75/65.96      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.96      inference(modus_ponens,[status(thm)],[635, 634])).
% 65.75/65.96  tff(637,plain,
% 65.75/65.96      (sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[636, 292, 630, 626])).
% 65.75/65.96  tff(638,plain,
% 65.75/65.96      ((~((~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~sameside(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.96      inference(tautology,[status(thm)],[])).
% 65.75/65.96  tff(639,plain,
% 65.75/65.96      (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.75/65.96      inference(unit_resolution,[status(thm)],[638, 637, 610])).
% 65.75/65.96  tff(640,plain,
% 65.75/65.96      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.75/65.96      inference(rewrite,[status(thm)],[])).
% 65.75/65.96  tff(641,plain,
% 65.75/65.96      ((~((~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))),
% 65.75/65.97      inference(rewrite,[status(thm)],[])).
% 65.75/65.97  tff(642,plain,
% 65.75/65.97      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.75/65.97      inference(monotonicity,[status(thm)],[641])).
% 65.75/65.97  tff(643,plain,
% 65.75/65.97      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.75/65.97      inference(transitivity,[status(thm)],[642, 640])).
% 65.75/65.97  tff(644,plain,
% 65.75/65.97      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.75/65.97      inference(quant_inst,[status(thm)],[])).
% 65.75/65.97  tff(645,plain,
% 65.75/65.97      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))),
% 65.75/65.97      inference(modus_ponens,[status(thm)],[644, 643])).
% 65.75/65.97  tff(646,plain,
% 65.75/65.97      (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))),
% 65.75/65.97      inference(unit_resolution,[status(thm)],[645, 245])).
% 65.75/65.97  tff(647,plain,
% 65.75/65.97      (((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))),
% 65.75/65.98      inference(tautology,[status(thm)],[])).
% 65.75/65.98  tff(648,plain,
% 65.75/65.98      ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.75/65.98      inference(unit_resolution,[status(thm)],[647, 646])).
% 65.75/65.98  tff(649,plain,
% 65.75/65.98      ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.75/65.98      inference(tautology,[status(thm)],[])).
% 65.75/65.98  tff(650,plain,
% 65.75/65.98      ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.75/65.98      inference(unit_resolution,[status(thm)],[649, 562])).
% 65.75/65.98  tff(651,plain,
% 65.75/65.98      (s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)),
% 65.75/65.98      inference(unit_resolution,[status(thm)],[650, 648])).
% 65.75/65.98  tff(652,plain,
% 65.75/65.98      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.75/65.98      inference(rewrite,[status(thm)],[])).
% 65.75/65.98  tff(653,plain,
% 65.75/65.98      ((~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))) <=> (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.75/65.98      inference(rewrite,[status(thm)],[])).
% 65.75/65.98  tff(654,plain,
% 65.75/65.98      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.75/65.98      inference(monotonicity,[status(thm)],[653])).
% 65.75/65.98  tff(655,plain,
% 65.75/65.98      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.75/65.99      inference(transitivity,[status(thm)],[654, 652])).
% 65.75/65.99  tff(656,plain,
% 65.75/65.99      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 65.75/65.99      inference(quant_inst,[status(thm)],[])).
% 65.75/65.99  tff(657,plain,
% 65.75/65.99      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.75/65.99      inference(modus_ponens,[status(thm)],[656, 655])).
% 65.75/65.99  tff(658,plain,
% 65.75/65.99      (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.75/65.99      inference(unit_resolution,[status(thm)],[657, 245])).
% 65.75/65.99  tff(659,plain,
% 65.75/65.99      (((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.75/65.99      inference(tautology,[status(thm)],[])).
% 65.75/65.99  tff(660,plain,
% 65.75/65.99      ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.99      inference(unit_resolution,[status(thm)],[659, 658])).
% 65.75/65.99  tff(661,plain,
% 65.75/65.99      ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.99      inference(tautology,[status(thm)],[])).
% 65.75/65.99  tff(662,plain,
% 65.75/65.99      ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.99      inference(unit_resolution,[status(thm)],[661, 562])).
% 65.75/65.99  tff(663,plain,
% 65.75/65.99      (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.75/65.99      inference(unit_resolution,[status(thm)],[662, 660])).
% 65.75/65.99  tff(664,plain,
% 65.75/65.99      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.99      inference(rewrite,[status(thm)],[])).
% 65.75/65.99  tff(665,plain,
% 65.75/65.99      (((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.99      inference(rewrite,[status(thm)],[])).
% 65.75/65.99  tff(666,plain,
% 65.75/65.99      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.75/65.99      inference(monotonicity,[status(thm)],[665])).
% 65.75/65.99  tff(667,plain,
% 65.75/65.99      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.99      inference(transitivity,[status(thm)],[666, 664])).
% 65.75/65.99  tff(668,plain,
% 65.75/65.99      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.75/65.99      inference(quant_inst,[status(thm)],[])).
% 65.75/65.99  tff(669,plain,
% 65.75/65.99      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.75/65.99      inference(modus_ponens,[status(thm)],[668, 667])).
% 65.75/65.99  tff(670,plain,
% 65.75/65.99      ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.00      inference(unit_resolution,[status(thm)],[669, 335, 579, 663, 651])).
% 65.83/66.00  tff(671,plain,
% 65.83/66.00      (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 65.83/66.00      inference(unit_resolution,[status(thm)],[670, 639, 601])).
% 65.83/66.00  tff(672,plain,
% 65.83/66.00      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.83/66.00      inference(rewrite,[status(thm)],[])).
% 65.83/66.00  tff(673,plain,
% 65.83/66.00      ((~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))))) <=> (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.83/66.00      inference(rewrite,[status(thm)],[])).
% 65.83/66.00  tff(674,plain,
% 65.83/66.00      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.83/66.00      inference(monotonicity,[status(thm)],[673])).
% 65.83/66.00  tff(675,plain,
% 65.83/66.00      (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 65.83/66.00      inference(transitivity,[status(thm)],[674, 672])).
% 65.83/66.00  tff(676,plain,
% 65.83/66.00      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))),
% 65.83/66.00      inference(quant_inst,[status(thm)],[])).
% 65.83/66.00  tff(677,plain,
% 65.83/66.00      ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.83/66.00      inference(modus_ponens,[status(thm)],[676, 675])).
% 65.83/66.00  tff(678,plain,
% 65.83/66.00      (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.83/66.00      inference(unit_resolution,[status(thm)],[677, 245])).
% 65.83/66.00  tff(679,plain,
% 65.83/66.00      (((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(tautology,[status(thm)],[])).
% 65.83/66.01  tff(680,plain,
% 65.83/66.01      ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[679, 678])).
% 65.83/66.01  tff(681,plain,
% 65.83/66.01      ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(tautology,[status(thm)],[])).
% 65.83/66.01  tff(682,plain,
% 65.83/66.01      ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[681, 534])).
% 65.83/66.01  tff(683,plain,
% 65.83/66.01      (s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[682, 680])).
% 65.83/66.01  tff(684,plain,
% 65.83/66.01      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 65.83/66.01      inference(quant_inst,[status(thm)],[])).
% 65.83/66.01  tff(685,plain,
% 65.83/66.01      (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[684, 72])).
% 65.83/66.01  tff(686,plain,
% 65.83/66.01      (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(tautology,[status(thm)],[])).
% 65.83/66.01  tff(687,plain,
% 65.83/66.01      ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[686, 685])).
% 65.83/66.01  tff(688,plain,
% 65.83/66.01      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.83/66.01      inference(tautology,[status(thm)],[])).
% 65.83/66.01  tff(689,plain,
% 65.83/66.01      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[688, 542])).
% 65.83/66.01  tff(690,plain,
% 65.83/66.01      (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[689, 687])).
% 65.83/66.01  tff(691,plain,
% 65.83/66.01      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(rewrite,[status(thm)],[])).
% 65.83/66.01  tff(692,plain,
% 65.83/66.01      (((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))) <=> ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(rewrite,[status(thm)],[])).
% 65.83/66.01  tff(693,plain,
% 65.83/66.01      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.83/66.01      inference(monotonicity,[status(thm)],[692])).
% 65.83/66.01  tff(694,plain,
% 65.83/66.01      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(transitivity,[status(thm)],[693, 691])).
% 65.83/66.01  tff(695,plain,
% 65.83/66.01      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))),
% 65.83/66.01      inference(quant_inst,[status(thm)],[])).
% 65.83/66.01  tff(696,plain,
% 65.83/66.01      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(modus_ponens,[status(thm)],[695, 694])).
% 65.83/66.01  tff(697,plain,
% 65.83/66.01      ((~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[696, 335, 33, 579, 690, 683])).
% 65.83/66.01  tff(698,plain,
% 65.83/66.01      (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[697, 671])).
% 65.83/66.01  tff(699,plain,
% 65.83/66.01      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(rewrite,[status(thm)],[])).
% 65.83/66.01  tff(700,plain,
% 65.83/66.01      ((s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) <=> (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(rewrite,[status(thm)],[])).
% 65.83/66.01  tff(701,plain,
% 65.83/66.01      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 65.83/66.01      inference(monotonicity,[status(thm)],[700])).
% 65.83/66.01  tff(702,plain,
% 65.83/66.01      (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(transitivity,[status(thm)],[701, 699])).
% 65.83/66.01  tff(703,plain,
% 65.83/66.01      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.01      inference(quant_inst,[status(thm)],[])).
% 65.83/66.01  tff(704,plain,
% 65.83/66.01      ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(modus_ponens,[status(thm)],[703, 702])).
% 65.83/66.01  tff(705,plain,
% 65.83/66.01      (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(unit_resolution,[status(thm)],[704, 292, 698, 550])).
% 65.83/66.01  tff(706,plain,
% 65.83/66.01      (s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) <=> s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(monotonicity,[status(thm)],[513])).
% 65.83/66.01  tff(707,plain,
% 65.83/66.01      (s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) <=> s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.01      inference(symmetry,[status(thm)],[706])).
% 65.83/66.01  tff(708,plain,
% 65.83/66.01      (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 65.83/66.02      inference(tautology,[status(thm)],[])).
% 65.83/66.02  tff(709,plain,
% 65.83/66.02      ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.02      inference(unit_resolution,[status(thm)],[708, 524])).
% 65.83/66.02  tff(710,plain,
% 65.83/66.02      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.02      inference(tautology,[status(thm)],[])).
% 65.83/66.02  tff(711,plain,
% 65.83/66.02      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.02      inference(unit_resolution,[status(thm)],[710, 531])).
% 65.83/66.02  tff(712,plain,
% 65.83/66.02      (s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.02      inference(unit_resolution,[status(thm)],[711, 709])).
% 65.83/66.02  tff(713,plain,
% 65.83/66.02      (s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 65.83/66.02      inference(modus_ponens,[status(thm)],[712, 707])).
% 65.83/66.02  tff(714,plain,
% 65.83/66.02      ((s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) <=> (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.83/66.02      inference(monotonicity,[status(thm)],[513])).
% 65.83/66.02  tff(715,plain,
% 65.83/66.02      ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 65.83/66.02      inference(symmetry,[status(thm)],[714])).
% 65.83/66.02  tff(716,plain,
% 65.83/66.02      ((~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 65.83/66.02      inference(monotonicity,[status(thm)],[715])).
% 65.83/66.02  tff(717,plain,
% 65.83/66.02      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.83/66.02      inference(rewrite,[status(thm)],[])).
% 65.83/66.02  tff(718,plain,
% 65.83/66.02      ((~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.83/66.02      inference(rewrite,[status(thm)],[])).
% 65.83/66.02  tff(719,plain,
% 65.83/66.02      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.83/66.02      inference(monotonicity,[status(thm)],[718])).
% 65.83/66.02  tff(720,plain,
% 65.83/66.02      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.83/66.02      inference(transitivity,[status(thm)],[719, 717])).
% 65.83/66.02  tff(721,plain,
% 65.83/66.02      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 65.83/66.02      inference(quant_inst,[status(thm)],[])).
% 65.83/66.02  tff(722,plain,
% 65.83/66.02      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.83/66.02      inference(modus_ponens,[status(thm)],[721, 720])).
% 65.83/66.02  tff(723,plain,
% 65.83/66.02      (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.83/66.02      inference(unit_resolution,[status(thm)],[722, 169])).
% 65.83/66.02  tff(724,plain,
% 65.83/66.02      (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 65.83/66.02      inference(tautology,[status(thm)],[])).
% 65.83/66.03  tff(725,plain,
% 65.83/66.03      ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.83/66.03      inference(unit_resolution,[status(thm)],[724, 723])).
% 65.83/66.03  tff(726,plain,
% 65.83/66.03      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.83/66.03      inference(tautology,[status(thm)],[])).
% 65.83/66.03  tff(727,plain,
% 65.83/66.03      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.83/66.03      inference(unit_resolution,[status(thm)],[726, 531])).
% 65.83/66.03  tff(728,plain,
% 65.83/66.03      (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 65.83/66.03      inference(unit_resolution,[status(thm)],[727, 725])).
% 65.83/66.03  tff(729,plain,
% 65.83/66.03      (~(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 65.83/66.03      inference(modus_ponens,[status(thm)],[728, 716])).
% 65.83/66.03  tff(730,plain,
% 65.83/66.03      (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))),
% 65.83/66.03      inference(tautology,[status(thm)],[])).
% 65.83/66.03  tff(731,plain,
% 65.83/66.03      ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 65.83/66.03      inference(unit_resolution,[status(thm)],[730, 524])).
% 65.83/66.03  tff(732,plain,
% 65.83/66.03      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 65.83/66.03      inference(tautology,[status(thm)],[])).
% 65.83/66.03  tff(733,plain,
% 65.83/66.03      ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 65.83/66.03      inference(unit_resolution,[status(thm)],[732, 531])).
% 65.83/66.03  tff(734,plain,
% 65.83/66.03      (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)),
% 65.83/66.03      inference(unit_resolution,[status(thm)],[733, 731])).
% 65.83/66.03  tff(735,plain,
% 65.83/66.03      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.03      inference(rewrite,[status(thm)],[])).
% 65.83/66.03  tff(736,plain,
% 65.83/66.03      (((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.03      inference(rewrite,[status(thm)],[])).
% 65.83/66.03  tff(737,plain,
% 65.83/66.03      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.83/66.03      inference(monotonicity,[status(thm)],[736])).
% 65.83/66.03  tff(738,plain,
% 65.83/66.03      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.03      inference(transitivity,[status(thm)],[737, 735])).
% 65.83/66.03  tff(739,plain,
% 65.83/66.03      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 65.83/66.03      inference(quant_inst,[status(thm)],[])).
% 65.83/66.03  tff(740,plain,
% 65.83/66.03      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.04      inference(modus_ponens,[status(thm)],[739, 738])).
% 65.83/66.04  tff(741,plain,
% 65.83/66.04      (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.04      inference(unit_resolution,[status(thm)],[740, 191, 579, 734, 729, 713, 705])).
% 65.83/66.04  tff(742,plain,
% 65.83/66.04      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.83/66.04      inference(rewrite,[status(thm)],[])).
% 65.83/66.04  tff(743,plain,
% 65.83/66.04      ((~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.83/66.04      inference(rewrite,[status(thm)],[])).
% 65.83/66.04  tff(744,plain,
% 65.83/66.04      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.83/66.04      inference(monotonicity,[status(thm)],[743])).
% 65.83/66.04  tff(745,plain,
% 65.83/66.04      (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 65.83/66.04      inference(transitivity,[status(thm)],[744, 742])).
% 65.83/66.04  tff(746,plain,
% 65.83/66.04      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.83/66.04      inference(quant_inst,[status(thm)],[])).
% 65.83/66.04  tff(747,plain,
% 65.83/66.04      ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 65.83/66.04      inference(modus_ponens,[status(thm)],[746, 745])).
% 65.83/66.04  tff(748,plain,
% 65.83/66.04      (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.83/66.04      inference(unit_resolution,[status(thm)],[747, 169])).
% 65.83/66.04  tff(749,plain,
% 65.83/66.04      (((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(tautology,[status(thm)],[])).
% 65.83/66.05  tff(750,plain,
% 65.83/66.05      ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(unit_resolution,[status(thm)],[749, 748])).
% 65.83/66.05  tff(751,plain,
% 65.83/66.05      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(tautology,[status(thm)],[])).
% 65.83/66.05  tff(752,plain,
% 65.83/66.05      ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(unit_resolution,[status(thm)],[751, 586])).
% 65.83/66.05  tff(753,plain,
% 65.83/66.05      (s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(unit_resolution,[status(thm)],[752, 750])).
% 65.83/66.05  tff(754,plain,
% 65.83/66.05      (((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(rewrite,[status(thm)],[])).
% 65.83/66.05  tff(755,plain,
% 65.83/66.05      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(quant_inst,[status(thm)],[])).
% 65.83/66.05  tff(756,plain,
% 65.83/66.05      ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(modus_ponens,[status(thm)],[755, 754])).
% 65.83/66.05  tff(757,plain,
% 65.83/66.05      ((~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(unit_resolution,[status(thm)],[756, 435, 586])).
% 65.83/66.05  tff(758,plain,
% 65.83/66.05      (le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(unit_resolution,[status(thm)],[757, 753])).
% 65.83/66.05  tff(759,plain,
% 65.83/66.05      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(rewrite,[status(thm)],[])).
% 65.83/66.05  tff(760,plain,
% 65.83/66.05      ((s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(rewrite,[status(thm)],[])).
% 65.83/66.05  tff(761,plain,
% 65.83/66.05      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.05      inference(monotonicity,[status(thm)],[760])).
% 65.83/66.05  tff(762,plain,
% 65.83/66.05      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(transitivity,[status(thm)],[761, 759])).
% 65.83/66.05  tff(763,plain,
% 65.83/66.05      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.05      inference(quant_inst,[status(thm)],[])).
% 65.83/66.05  tff(764,plain,
% 65.83/66.05      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(modus_ponens,[status(thm)],[763, 762])).
% 65.83/66.05  tff(765,plain,
% 65.83/66.05      (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(unit_resolution,[status(thm)],[764, 450, 758])).
% 65.83/66.05  tff(766,plain,
% 65.83/66.05      (sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) <=> sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(monotonicity,[status(thm)],[513, 513])).
% 65.83/66.05  tff(767,plain,
% 65.83/66.05      (sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(symmetry,[status(thm)],[766])).
% 65.83/66.05  tff(768,plain,
% 65.83/66.05      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(rewrite,[status(thm)],[])).
% 65.83/66.05  tff(769,plain,
% 65.83/66.05      (((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(rewrite,[status(thm)],[])).
% 65.83/66.05  tff(770,plain,
% 65.83/66.05      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.05      inference(monotonicity,[status(thm)],[769])).
% 65.83/66.05  tff(771,plain,
% 65.83/66.05      (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(transitivity,[status(thm)],[770, 768])).
% 65.83/66.05  tff(772,plain,
% 65.83/66.05      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 65.83/66.05      inference(quant_inst,[status(thm)],[])).
% 65.83/66.05  tff(773,plain,
% 65.83/66.05      ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(modus_ponens,[status(thm)],[772, 771])).
% 65.83/66.05  tff(774,plain,
% 65.83/66.05      (sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(unit_resolution,[status(thm)],[773, 191, 728, 734, 712])).
% 65.83/66.05  tff(775,plain,
% 65.83/66.05      (sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.05      inference(modus_ponens,[status(thm)],[774, 767])).
% 65.83/66.05  tff(776,plain,
% 65.83/66.05      (s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(monotonicity,[status(thm)],[513])).
% 65.83/66.05  tff(777,plain,
% 65.83/66.05      (s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.05      inference(symmetry,[status(thm)],[776])).
% 65.83/66.05  tff(778,plain,
% 65.83/66.05      (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.06      inference(rewrite,[status(thm)],[])).
% 65.83/66.06  tff(779,plain,
% 65.83/66.06      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.06      inference(quant_inst,[status(thm)],[])).
% 65.83/66.06  tff(780,plain,
% 65.83/66.06      ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.06      inference(modus_ponens,[status(thm)],[779, 778])).
% 65.83/66.06  tff(781,plain,
% 65.83/66.06      (s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.06      inference(unit_resolution,[status(thm)],[780, 476, 504])).
% 65.83/66.06  tff(782,plain,
% 65.83/66.06      (s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.06      inference(modus_ponens,[status(thm)],[781, 777])).
% 65.83/66.06  tff(783,plain,
% 65.83/66.06      (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.83/66.06      inference(rewrite,[status(thm)],[])).
% 65.83/66.06  tff(784,plain,
% 65.83/66.06      (((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.83/66.06      inference(rewrite,[status(thm)],[])).
% 65.83/66.06  tff(785,plain,
% 65.83/66.06      (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 65.83/66.06      inference(monotonicity,[status(thm)],[784])).
% 65.83/66.06  tff(786,plain,
% 65.83/66.06      (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 65.83/66.07      inference(transitivity,[status(thm)],[785, 783])).
% 65.83/66.07  tff(787,plain,
% 65.83/66.07      ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 65.83/66.07      inference(quant_inst,[status(thm)],[])).
% 65.83/66.07  tff(788,plain,
% 65.83/66.07      ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.07      inference(modus_ponens,[status(thm)],[787, 786])).
% 65.83/66.07  tff(789,plain,
% 65.83/66.07      (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.07      inference(unit_resolution,[status(thm)],[788, 491, 594, 729, 782, 775, 765, 741])).
% 65.83/66.07  tff(790,plain,
% 65.83/66.07      (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 65.83/66.07      inference(transitivity,[status(thm)],[789, 513])).
% 65.83/66.07  tff(791,plain,
% 65.83/66.07      (s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.07      inference(monotonicity,[status(thm)],[790, 499])).
% 65.83/66.07  tff(792,plain,
% 65.83/66.07      (s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.07      inference(symmetry,[status(thm)],[791])).
% 65.83/66.07  tff(793,plain,
% 65.83/66.07      ((~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) <=> (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.07      inference(monotonicity,[status(thm)],[792])).
% 65.83/66.07  tff(794,plain,
% 65.83/66.07      (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 65.83/66.07      inference(tautology,[status(thm)],[])).
% 65.83/66.07  tff(795,plain,
% 65.83/66.07      ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.07      inference(unit_resolution,[status(thm)],[794, 20])).
% 65.83/66.07  tff(796,plain,
% 65.83/66.07      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.09      inference(tautology,[status(thm)],[])).
% 65.83/66.09  tff(797,plain,
% 65.83/66.09      ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 65.83/66.09      inference(unit_resolution,[status(thm)],[796, 33, 32, 31])).
% 65.83/66.09  tff(798,plain,
% 65.83/66.09      (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.09      inference(unit_resolution,[status(thm)],[797, 795])).
% 65.83/66.09  tff(799,plain,
% 65.83/66.09      (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.09      inference(modus_ponens,[status(thm)],[798, 793])).
% 65.83/66.09  tff(800,plain,
% 65.83/66.09      (^[Xa: $i, Xb: $i] : refl(s_e(Xa, Xb, Xa, Xb) <=> s_e(Xa, Xb, Xa, Xb))),
% 65.83/66.09      inference(bind,[status(th)],[])).
% 65.83/66.09  tff(801,plain,
% 65.83/66.09      (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb) <=> ![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 65.83/66.09      inference(quant_intro,[status(thm)],[800])).
% 65.83/66.09  tff(802,plain,
% 65.83/66.09      (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb) <=> ![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 65.83/66.09      inference(rewrite,[status(thm)],[])).
% 65.83/66.09  tff(803,axiom,(![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz2_1')).
% 65.83/66.09  tff(804,plain,
% 65.83/66.09      (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 65.83/66.09      inference(modus_ponens,[status(thm)],[803, 802])).
% 65.83/66.09  tff(805,plain,(
% 65.83/66.09      ![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 65.83/66.09      inference(skolemize,[status(sab)],[804])).
% 65.83/66.09  tff(806,plain,
% 65.83/66.09      (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 65.83/66.09      inference(modus_ponens,[status(thm)],[805, 801])).
% 65.83/66.09  tff(807,plain,
% 65.83/66.09      ((~![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)) | s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 65.83/66.09      inference(quant_inst,[status(thm)],[])).
% 65.83/66.09  tff(808,plain,
% 65.83/66.09      ($false),
% 65.83/66.09      inference(unit_resolution,[status(thm)],[807, 806, 799])).
% 65.83/66.09  % SZS output end Proof
% 65.94/66.12  % E exiting
%------------------------------------------------------------------------------