Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : GEO514+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n002.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 05:06:26 AM UTC 2025

% Result   : Theorem 0.41s 0.57s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : GEO514+1 : TPTP v9.0.0. Released v7.0.0.
% 0.14/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Jun 19 15:02:16 EDT 2025
% 0.14/0.35  % CPUTime    : 
% 0.41/0.57  % SZS status Theorem
% 0.41/0.57  % SZS output start Proof
% 0.41/0.57  tff(s_col_type, type, (
% 0.41/0.57     s_col: ( $i * $i * $i ) > $o)).
% 0.41/0.57  tff(ss2_type, type, (
% 0.41/0.57     ss2: ( $i * $i * $i * $i ) > $i)).
% 0.41/0.57  tff(tptp_fun_Xb_2_type, type, (
% 0.41/0.57     tptp_fun_Xb_2: $i)).
% 0.41/0.57  tff(tptp_fun_Xa_3_type, type, (
% 0.41/0.57     tptp_fun_Xa_3: $i)).
% 0.41/0.57  tff(tptp_fun_Xq_0_type, type, (
% 0.41/0.57     tptp_fun_Xq_0: $i)).
% 0.41/0.57  tff(tptp_fun_Xp_1_type, type, (
% 0.41/0.57     tptp_fun_Xp_1: $i)).
% 0.41/0.57  tff(ss1_type, type, (
% 0.41/0.57     ss1: ( $i * $i * $i * $i ) > $i)).
% 0.41/0.57  tff(s_t_type, type, (
% 0.41/0.57     s_t: ( $i * $i * $i ) > $o)).
% 0.41/0.57  tff(ss3_type, type, (
% 0.41/0.57     ss3: ( $i * $i * $i * $i ) > $i)).
% 0.41/0.57  tff(samesideline_type, type, (
% 0.41/0.57     samesideline: ( $i * $i * $i * $i ) > $o)).
% 0.41/0.57  tff(xb_type, type, (
% 0.41/0.57     xb: $i)).
% 0.41/0.57  tff(gamma_type, type, (
% 0.41/0.57     gamma: $i)).
% 0.41/0.57  tff(1,plain,
% 0.41/0.57      (^[Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : refl((~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))))) <=> (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))))))),
% 0.41/0.57      inference(bind,[status(th)],[])).
% 0.41/0.57  tff(2,plain,
% 0.41/0.57      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))))) <=> ![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))),
% 0.41/0.57      inference(quant_intro,[status(thm)],[1])).
% 0.41/0.57  tff(3,plain,
% 0.41/0.57      (^[Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : trans(monotonicity(rewrite(((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) <=> ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))), rewrite(((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))))), rewrite((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))) <=> (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))), ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))) <=> (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))))),
% 0.41/0.57      inference(bind,[status(th)],[])).
% 0.41/0.57  tff(4,plain,
% 0.41/0.57      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))) <=> ![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))),
% 0.41/0.57      inference(quant_intro,[status(thm)],[3])).
% 0.41/0.57  tff(5,plain,
% 0.41/0.57      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))) <=> ![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))),
% 0.41/0.57      inference(rewrite,[status(thm)],[])).
% 0.41/0.57  tff(6,plain,
% 0.41/0.57      (^[Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))))), ((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))))), ((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))))), (((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))))), (((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))))), ((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))))), ((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))))), (((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))))), (((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))))), ((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))))), ((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))))), rewrite(((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq))) <=> ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))), (((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))))), (((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))))), rewrite(((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) <=> ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))), ((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))))), ((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))))), rewrite(((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xb))) <=> ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))), (((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xb)))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))))), (((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xb)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) <=> ((~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), ((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) <=> (((~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (~s_col(Xp, Xq, Xu))))), rewrite((((~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (~s_col(Xp, Xq, Xu))) <=> ((~s_col(Xp, Xq, Xu)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), ((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) <=> ((~s_col(Xp, Xq, Xu)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), (((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) <=> (((~s_col(Xp, Xq, Xu)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (~s_col(Xp, Xq, Xv))))), rewrite((((~s_col(Xp, Xq, Xu)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (~s_col(Xp, Xq, Xv))) <=> ((~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), (((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) <=> ((~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), ((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) <=> (((~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xp = Xq)))), rewrite((((~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xp = Xq)) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), ((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), (((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) <=> (((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xc = Xu)))), rewrite((((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xc = Xu)) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), (((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), ((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) <=> (((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xc = Xv)))), rewrite((((Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xc = Xv)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), ((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), (((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) <=> (((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xa = Xu)))), rewrite((((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xa = Xu)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), (((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), ((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) <=> (((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xb = Xv)))), rewrite((((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | (Xb = Xv)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), ((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), (((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) <=> (((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | s_col(Xp, Xq, Xa)))), rewrite((((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | s_col(Xp, Xq, Xa)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), (((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), ((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) <=> (((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | s_col(Xp, Xq, Xb)))), rewrite((((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | s_col(Xp, Xq, Xb)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), ((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), (((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) | samesideline(Xa, Xb, Xp, Xq)) <=> (((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | samesideline(Xa, Xb, Xp, Xq)))), rewrite((((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))) | samesideline(Xa, Xb, Xp, Xq)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))), (((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) | samesideline(Xa, Xb, Xp, Xq)) <=> ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), ((((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xb)))) & ((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) | samesideline(Xa, Xb, Xp, Xq))) <=> ((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))))), rewrite(((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc)))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))), ((((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xb)))) & ((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) | samesideline(Xa, Xb, Xp, Xq))) <=> (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))),
% 0.41/0.57      inference(bind,[status(th)],[])).
% 0.41/0.57  tff(7,plain,
% 0.41/0.57      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xb)))) & ((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) | samesideline(Xa, Xb, Xp, Xq))) <=> ![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))),
% 0.41/0.57      inference(quant_intro,[status(thm)],[6])).
% 0.41/0.57  tff(8,axiom,(![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((((((((((((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xp = Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xb)))) & ((((((((((((~s_t(Xa, Xu, Xc)) | (~s_t(Xb, Xv, Xc))) | (~s_col(Xp, Xq, Xu))) | (~s_col(Xp, Xq, Xv))) | (Xp = Xq)) | (Xc = Xu)) | (Xc = Xv)) | (Xa = Xu)) | (Xb = Xv)) | s_col(Xp, Xq, Xa)) | s_col(Xp, Xq, Xb)) | samesideline(Xa, Xb, Xp, Xq)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d_Defn9_7')).
% 0.41/0.57  tff(9,plain,
% 0.41/0.57      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))),
% 0.41/0.57      inference(modus_ponens,[status(thm)],[8, 7])).
% 0.41/0.57  tff(10,plain,
% 0.41/0.57      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))),
% 0.41/0.58      inference(modus_ponens,[status(thm)],[9, 5])).
% 0.41/0.58  tff(11,plain,(
% 0.41/0.58      ![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq)))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq)))) & ((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa))) & ((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq))) & ((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))),
% 0.41/0.58      inference(skolemize,[status(sab)],[10])).
% 0.41/0.58  tff(12,plain,
% 0.41/0.58      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))),
% 0.41/0.58      inference(modus_ponens,[status(thm)],[11, 4])).
% 0.41/0.58  tff(13,plain,
% 0.41/0.58      (![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))),
% 0.41/0.58      inference(modus_ponens,[status(thm)],[12, 2])).
% 0.41/0.58  tff(14,plain,
% 0.41/0.58      (((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))))) <=> ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb)))))))),
% 0.43/0.58      inference(rewrite,[status(thm)],[])).
% 0.43/0.58  tff(15,plain,
% 0.43/0.58      ((~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((xb = Xb!2) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (xb = gamma) | (~s_col(Xa!3, Xb!2, Xb!2)) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | s_col(Xa!3, Xb!2, Xq!0) | s_col(Xa!3, Xb!2, Xp!1) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb)))))) <=> (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))))),
% 0.43/0.58      inference(rewrite,[status(thm)],[])).
% 0.43/0.58  tff(16,plain,
% 0.43/0.58      (((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((xb = Xb!2) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (xb = gamma) | (~s_col(Xa!3, Xb!2, Xb!2)) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | s_col(Xa!3, Xb!2, Xq!0) | s_col(Xa!3, Xb!2, Xp!1) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))))) <=> ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb)))))))),
% 0.43/0.59      inference(monotonicity,[status(thm)],[15])).
% 0.43/0.59  tff(17,plain,
% 0.43/0.59      (((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((xb = Xb!2) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (xb = gamma) | (~s_col(Xa!3, Xb!2, Xb!2)) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | s_col(Xa!3, Xb!2, Xq!0) | s_col(Xa!3, Xb!2, Xp!1) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))))) <=> ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb)))))))),
% 0.43/0.59      inference(transitivity,[status(thm)],[16, 14])).
% 0.43/0.59  tff(18,plain,
% 0.43/0.59      ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((xb = Xb!2) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (xb = gamma) | (~s_col(Xa!3, Xb!2, Xb!2)) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | s_col(Xa!3, Xb!2, Xq!0) | s_col(Xa!3, Xb!2, Xp!1) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))))),
% 0.43/0.59      inference(quant_inst,[status(thm)],[])).
% 0.43/0.59  tff(19,plain,
% 0.43/0.59      ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[18, 17])).
% 0.43/0.59  tff(20,plain,
% 0.43/0.59      (~((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb)))))),
% 0.43/0.59      inference(unit_resolution,[status(thm)],[19, 13])).
% 0.43/0.59  tff(21,plain,
% 0.43/0.59      (((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))) | ((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.59      inference(tautology,[status(thm)],[])).
% 0.43/0.59  tff(22,plain,
% 0.43/0.59      ((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.59      inference(unit_resolution,[status(thm)],[21, 20])).
% 0.43/0.59  tff(23,plain,
% 0.43/0.59      ((~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) <=> (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2))))),
% 0.43/0.59      inference(rewrite,[status(thm)],[])).
% 0.43/0.59  tff(24,plain,
% 0.43/0.59      ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : ((Xa = Xb) | samesideline(Xp, Xq, Xb, Xa) | (~samesideline(Xp, Xq, Xa, Xb)))) <=> (~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : ((Xa = Xb) | samesideline(Xp, Xq, Xb, Xa) | (~samesideline(Xp, Xq, Xa, Xb))))),
% 0.43/0.59      inference(rewrite,[status(thm)],[])).
% 0.43/0.59  tff(25,plain,
% 0.43/0.59      ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : (((Xa = Xb) | (~samesideline(Xp, Xq, Xa, Xb))) | samesideline(Xp, Xq, Xb, Xa))) <=> (~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : ((Xa = Xb) | samesideline(Xp, Xq, Xb, Xa) | (~samesideline(Xp, Xq, Xa, Xb))))),
% 0.43/0.59      inference(rewrite,[status(thm)],[])).
% 0.43/0.59  tff(26,axiom,(~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : (((Xa = Xb) | (~samesideline(Xp, Xq, Xa, Xb))) | samesideline(Xp, Xq, Xb, Xa))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','aExtSameSide2')).
% 0.43/0.59  tff(27,plain,
% 0.43/0.59      (~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : ((Xa = Xb) | samesideline(Xp, Xq, Xb, Xa) | (~samesideline(Xp, Xq, Xa, Xb)))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[26, 25])).
% 0.43/0.59  tff(28,plain,
% 0.43/0.59      (~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : ((Xa = Xb) | samesideline(Xp, Xq, Xb, Xa) | (~samesideline(Xp, Xq, Xa, Xb)))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[27, 24])).
% 0.43/0.59  tff(29,plain,
% 0.43/0.59      (~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : ((Xa = Xb) | samesideline(Xp, Xq, Xb, Xa) | (~samesideline(Xp, Xq, Xa, Xb)))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[28, 24])).
% 0.43/0.59  tff(30,plain,
% 0.43/0.59      (~![Xa: $i, Xb: $i, Xp: $i, Xq: $i] : ((Xa = Xb) | samesideline(Xp, Xq, Xb, Xa) | (~samesideline(Xp, Xq, Xa, Xb)))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[29, 24])).
% 0.43/0.59  tff(31,plain,(
% 0.43/0.59      ~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.59      inference(skolemize,[status(sab)],[30])).
% 0.43/0.59  tff(32,plain,
% 0.43/0.59      (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[31, 23])).
% 0.43/0.59  tff(33,plain,
% 0.43/0.59      (samesideline(Xp!1, Xq!0, Xa!3, Xb!2)),
% 0.43/0.59      inference(or_elim,[status(thm)],[32])).
% 0.43/0.59  tff(34,plain,
% 0.43/0.59      ((~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.59      inference(tautology,[status(thm)],[])).
% 0.43/0.59  tff(35,plain,
% 0.43/0.59      ((~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~s_col(Xa!3, Xb!2, Xq!0))),
% 0.43/0.59      inference(unit_resolution,[status(thm)],[34, 33])).
% 0.43/0.59  tff(36,plain,
% 0.43/0.59      (~s_col(Xa!3, Xb!2, Xq!0)),
% 0.43/0.59      inference(unit_resolution,[status(thm)],[35, 22])).
% 0.43/0.59  tff(37,plain,
% 0.43/0.59      ((Xb!2 = Xa!3) <=> (Xa!3 = Xb!2)),
% 0.43/0.59      inference(commutativity,[status(thm)],[])).
% 0.43/0.59  tff(38,plain,
% 0.43/0.59      ((Xa!3 = Xb!2) <=> (Xb!2 = Xa!3)),
% 0.43/0.59      inference(symmetry,[status(thm)],[37])).
% 0.43/0.59  tff(39,plain,
% 0.43/0.59      ((~(Xa!3 = Xb!2)) <=> (~(Xb!2 = Xa!3))),
% 0.43/0.59      inference(monotonicity,[status(thm)],[38])).
% 0.43/0.59  tff(40,plain,
% 0.43/0.59      (~(Xa!3 = Xb!2)),
% 0.43/0.59      inference(or_elim,[status(thm)],[32])).
% 0.43/0.59  tff(41,plain,
% 0.43/0.59      (~(Xb!2 = Xa!3)),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[40, 39])).
% 0.43/0.59  tff(42,plain,
% 0.43/0.59      (^[Xp: $i, Xq: $i, Xr: $i] : refl(((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr)) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr)))),
% 0.43/0.59      inference(bind,[status(th)],[])).
% 0.43/0.59  tff(43,plain,
% 0.43/0.59      (![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr)) <=> ![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))),
% 0.43/0.59      inference(quant_intro,[status(thm)],[42])).
% 0.43/0.59  tff(44,plain,
% 0.43/0.59      (![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr)) <=> ![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))),
% 0.43/0.59      inference(rewrite,[status(thm)],[])).
% 0.43/0.59  tff(45,plain,
% 0.43/0.59      (^[Xp: $i, Xq: $i, Xr: $i] : trans(monotonicity(rewrite(((Xp = Xq) | (~s_col(Xp, Xq, Xr))) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xr)))), ((((Xp = Xq) | (~s_col(Xp, Xq, Xr))) | s_col(Xq, Xp, Xr)) <=> (((Xp = Xq) | (~s_col(Xp, Xq, Xr))) | s_col(Xq, Xp, Xr)))), rewrite((((Xp = Xq) | (~s_col(Xp, Xq, Xr))) | s_col(Xq, Xp, Xr)) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))), ((((Xp = Xq) | (~s_col(Xp, Xq, Xr))) | s_col(Xq, Xp, Xr)) <=> ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))))),
% 0.43/0.59      inference(bind,[status(th)],[])).
% 0.43/0.59  tff(46,plain,
% 0.43/0.59      (![Xp: $i, Xq: $i, Xr: $i] : (((Xp = Xq) | (~s_col(Xp, Xq, Xr))) | s_col(Xq, Xp, Xr)) <=> ![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))),
% 0.43/0.59      inference(quant_intro,[status(thm)],[45])).
% 0.43/0.59  tff(47,axiom,(![Xp: $i, Xq: $i, Xr: $i] : (((Xp = Xq) | (~s_col(Xp, Xq, Xr))) | s_col(Xq, Xp, Xr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','aSatz6_17b')).
% 0.43/0.59  tff(48,plain,
% 0.43/0.59      (![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[47, 46])).
% 0.43/0.59  tff(49,plain,
% 0.43/0.59      (![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[48, 44])).
% 0.43/0.59  tff(50,plain,(
% 0.43/0.59      ![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))),
% 0.43/0.59      inference(skolemize,[status(sab)],[49])).
% 0.43/0.59  tff(51,plain,
% 0.43/0.59      (![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))),
% 0.43/0.59      inference(modus_ponens,[status(thm)],[50, 43])).
% 0.43/0.59  tff(52,plain,
% 0.43/0.59      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xq!0) | (~s_col(Xb!2, Xa!3, Xq!0)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xq!0) | (~s_col(Xb!2, Xa!3, Xq!0)))),
% 0.43/0.59      inference(rewrite,[status(thm)],[])).
% 0.43/0.59  tff(53,plain,
% 0.43/0.59      (((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xq!0)) | s_col(Xa!3, Xb!2, Xq!0)) <=> ((Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xq!0) | (~s_col(Xb!2, Xa!3, Xq!0)))),
% 0.43/0.59      inference(rewrite,[status(thm)],[])).
% 0.43/0.59  tff(54,plain,
% 0.43/0.59      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xq!0)) | s_col(Xa!3, Xb!2, Xq!0))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xq!0) | (~s_col(Xb!2, Xa!3, Xq!0))))),
% 0.43/0.59      inference(monotonicity,[status(thm)],[53])).
% 0.43/0.59  tff(55,plain,
% 0.43/0.59      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xq!0)) | s_col(Xa!3, Xb!2, Xq!0))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xq!0) | (~s_col(Xb!2, Xa!3, Xq!0)))),
% 0.43/0.60      inference(transitivity,[status(thm)],[54, 52])).
% 0.43/0.60  tff(56,plain,
% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xq!0)) | s_col(Xa!3, Xb!2, Xq!0))),
% 0.43/0.60      inference(quant_inst,[status(thm)],[])).
% 0.43/0.60  tff(57,plain,
% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xq!0) | (~s_col(Xb!2, Xa!3, Xq!0))),
% 0.43/0.60      inference(modus_ponens,[status(thm)],[56, 55])).
% 0.43/0.60  tff(58,plain,
% 0.43/0.60      (~s_col(Xb!2, Xa!3, Xq!0)),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[57, 51, 41, 36])).
% 0.43/0.60  tff(59,plain,
% 0.43/0.60      (((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))) | ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))),
% 0.43/0.60      inference(tautology,[status(thm)],[])).
% 0.43/0.60  tff(60,plain,
% 0.43/0.60      ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[59, 20])).
% 0.43/0.60  tff(61,plain,
% 0.43/0.60      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1))),
% 0.43/0.60      inference(tautology,[status(thm)],[])).
% 0.43/0.60  tff(62,plain,
% 0.43/0.60      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~s_col(Xa!3, Xb!2, Xp!1))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[61, 33])).
% 0.43/0.60  tff(63,plain,
% 0.43/0.60      (~s_col(Xa!3, Xb!2, Xp!1)),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[62, 60])).
% 0.43/0.60  tff(64,plain,
% 0.43/0.60      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xp!1) | (~s_col(Xb!2, Xa!3, Xp!1)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xp!1) | (~s_col(Xb!2, Xa!3, Xp!1)))),
% 0.43/0.60      inference(rewrite,[status(thm)],[])).
% 0.43/0.60  tff(65,plain,
% 0.43/0.60      (((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xp!1)) | s_col(Xa!3, Xb!2, Xp!1)) <=> ((Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xp!1) | (~s_col(Xb!2, Xa!3, Xp!1)))),
% 0.43/0.60      inference(rewrite,[status(thm)],[])).
% 0.43/0.60  tff(66,plain,
% 0.43/0.60      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xp!1)) | s_col(Xa!3, Xb!2, Xp!1))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xp!1) | (~s_col(Xb!2, Xa!3, Xp!1))))),
% 0.43/0.60      inference(monotonicity,[status(thm)],[65])).
% 0.43/0.60  tff(67,plain,
% 0.43/0.60      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xp!1)) | s_col(Xa!3, Xb!2, Xp!1))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xp!1) | (~s_col(Xb!2, Xa!3, Xp!1)))),
% 0.43/0.60      inference(transitivity,[status(thm)],[66, 64])).
% 0.43/0.60  tff(68,plain,
% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, Xp!1)) | s_col(Xa!3, Xb!2, Xp!1))),
% 0.43/0.60      inference(quant_inst,[status(thm)],[])).
% 0.43/0.60  tff(69,plain,
% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xb!2 = Xa!3) | s_col(Xa!3, Xb!2, Xp!1) | (~s_col(Xb!2, Xa!3, Xp!1))),
% 0.43/0.60      inference(modus_ponens,[status(thm)],[68, 67])).
% 0.43/0.60  tff(70,plain,
% 0.43/0.60      (~s_col(Xb!2, Xa!3, Xp!1)),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[69, 51, 41, 63])).
% 0.43/0.60  tff(71,plain,
% 0.43/0.60      (((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))) | ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.60      inference(tautology,[status(thm)],[])).
% 0.43/0.60  tff(72,plain,
% 0.43/0.60      ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[71, 20])).
% 0.43/0.60  tff(73,plain,
% 0.43/0.60      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(tautology,[status(thm)],[])).
% 0.43/0.60  tff(74,plain,
% 0.43/0.60      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[73, 33])).
% 0.43/0.60  tff(75,plain,
% 0.43/0.60      (s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[74, 72])).
% 0.43/0.60  tff(76,plain,
% 0.43/0.60      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.60      inference(rewrite,[status(thm)],[])).
% 0.43/0.60  tff(77,plain,
% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.60      inference(quant_inst,[status(thm)],[])).
% 0.43/0.60  tff(78,plain,
% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(modus_ponens,[status(thm)],[77, 76])).
% 0.43/0.60  tff(79,plain,
% 0.43/0.60      (s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[78, 51, 40, 75])).
% 0.43/0.60  tff(80,plain,
% 0.43/0.60      (((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))) | ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.60      inference(tautology,[status(thm)],[])).
% 0.43/0.60  tff(81,plain,
% 0.43/0.60      ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[80, 20])).
% 0.43/0.60  tff(82,plain,
% 0.43/0.60      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(tautology,[status(thm)],[])).
% 0.43/0.60  tff(83,plain,
% 0.43/0.60      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[82, 33])).
% 0.43/0.60  tff(84,plain,
% 0.43/0.60      (s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[83, 81])).
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% 0.43/0.60      (((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) <=> ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.60      inference(rewrite,[status(thm)],[])).
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% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | ((Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.60      inference(quant_inst,[status(thm)],[])).
% 0.43/0.60  tff(87,plain,
% 0.43/0.60      ((~![Xp: $i, Xq: $i, Xr: $i] : ((Xp = Xq) | (~s_col(Xp, Xq, Xr)) | s_col(Xq, Xp, Xr))) | (Xa!3 = Xb!2) | (~s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(modus_ponens,[status(thm)],[86, 85])).
% 0.43/0.60  tff(88,plain,
% 0.43/0.60      (s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.60      inference(unit_resolution,[status(thm)],[87, 51, 40, 84])).
% 0.43/0.60  tff(89,plain,
% 0.43/0.60      (((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss1(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_col(Xa!3, Xb!2, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~((~(Xa!3 = Xb!2)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xa!3, Xb!2, Xp!1)))) | (~((~s_col(Xa!3, Xb!2, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)))) | (~((Xa!3 = Xb!2) | samesideline(Xp!1, Xq!0, Xa!3, Xb!2) | (xb = gamma) | s_col(Xa!3, Xb!2, Xp!1) | s_col(Xa!3, Xb!2, Xq!0) | (xb = Xb!2) | (~s_col(Xa!3, Xb!2, gamma)) | (~s_col(Xa!3, Xb!2, Xb!2)) | (Xq!0 = Xb!2) | (Xp!1 = gamma) | (~s_t(Xq!0, Xb!2, xb)) | (~s_t(Xp!1, gamma, xb))))) | ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))),
% 0.43/0.61      inference(tautology,[status(thm)],[])).
% 0.43/0.61  tff(90,plain,
% 0.43/0.61      ((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.61      inference(unit_resolution,[status(thm)],[89, 20])).
% 0.43/0.61  tff(91,plain,
% 0.43/0.61      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.61      inference(tautology,[status(thm)],[])).
% 0.43/0.61  tff(92,plain,
% 0.43/0.61      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.61      inference(unit_resolution,[status(thm)],[91, 33])).
% 0.43/0.61  tff(93,plain,
% 0.43/0.61      (~(ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.61      inference(unit_resolution,[status(thm)],[92, 90])).
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% 0.43/0.61      inference(tautology,[status(thm)],[])).
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% 0.43/0.61      inference(unit_resolution,[status(thm)],[94, 20])).
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% 0.43/0.61      inference(tautology,[status(thm)],[])).
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% 0.43/0.61      inference(unit_resolution,[status(thm)],[96, 33])).
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% 0.43/0.61      inference(tautology,[status(thm)],[])).
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% 0.43/0.61      inference(tautology,[status(thm)],[])).
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% 0.43/0.61      inference(unit_resolution,[status(thm)],[101, 33])).
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% 0.43/0.61      inference(tautology,[status(thm)],[])).
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% 0.43/0.61      inference(tautology,[status(thm)],[])).
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% 0.43/0.61      inference(unit_resolution,[status(thm)],[106, 33])).
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% 0.43/0.61      inference(tautology,[status(thm)],[])).
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% 0.43/0.62      inference(tautology,[status(thm)],[])).
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% 0.43/0.62      inference(tautology,[status(thm)],[])).
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% 0.43/0.62      ((~((~samesideline(Xp!1, Xq!0, Xa!3, Xb!2)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.62      inference(unit_resolution,[status(thm)],[116, 33])).
% 0.43/0.62  tff(118,plain,
% 0.43/0.62      (s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))),
% 0.43/0.62      inference(unit_resolution,[status(thm)],[117, 115])).
% 0.43/0.62  tff(119,plain,
% 0.43/0.62      (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)),
% 0.43/0.62      inference(or_elim,[status(thm)],[32])).
% 0.43/0.62  tff(120,plain,
% 0.43/0.62      ((~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))))) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))),
% 0.43/0.62      inference(tautology,[status(thm)],[])).
% 0.43/0.62  tff(121,plain,
% 0.43/0.62      (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))))),
% 0.43/0.62      inference(unit_resolution,[status(thm)],[120, 119, 41, 118, 113, 108, 103, 98, 93, 88, 79, 70, 58])).
% 0.43/0.62  tff(122,plain,
% 0.43/0.62      (((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))))) | (samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))))),
% 0.43/0.62      inference(tautology,[status(thm)],[])).
% 0.43/0.62  tff(123,plain,
% 0.43/0.62      ((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))))),
% 0.43/0.62      inference(unit_resolution,[status(thm)],[122, 121])).
% 0.43/0.62  tff(124,plain,
% 0.43/0.62      (((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))))))) <=> ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))))))))),
% 0.43/0.63      inference(rewrite,[status(thm)],[])).
% 0.43/0.63  tff(125,plain,
% 0.43/0.63      ((~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | s_col(Xb!2, Xa!3, Xq!0) | s_col(Xb!2, Xa!3, Xp!1) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))))))) <=> (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))))))),
% 0.43/0.63      inference(rewrite,[status(thm)],[])).
% 0.43/0.63  tff(126,plain,
% 0.43/0.63      (((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | s_col(Xb!2, Xa!3, Xq!0) | s_col(Xb!2, Xa!3, Xp!1) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))))))) <=> ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))))))))),
% 0.43/0.63      inference(monotonicity,[status(thm)],[125])).
% 0.43/0.63  tff(127,plain,
% 0.43/0.63      (((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | s_col(Xb!2, Xa!3, Xq!0) | s_col(Xb!2, Xa!3, Xp!1) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))))))) <=> ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))))))))),
% 0.48/0.64      inference(transitivity,[status(thm)],[126, 124])).
% 0.48/0.64  tff(128,plain,
% 0.48/0.64      ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xb!2 = Xa!3) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2))) | samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | s_col(Xb!2, Xa!3, Xq!0) | s_col(Xb!2, Xa!3, Xp!1) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2)))))))),
% 0.48/0.65      inference(quant_inst,[status(thm)],[])).
% 0.48/0.65  tff(129,plain,
% 0.48/0.65      ((~![Xa: $i, Xb: $i, Xp: $i, Xq: $i, Xu: $i, Xc: $i, Xv: $i] : (~((~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss1(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_col(Xp, Xq, ss2(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xa, ss1(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | s_t(Xb, ss2(Xa, Xb, Xp, Xq), ss3(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xa = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(Xb = ss2(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss1(Xa, Xb, Xp, Xq))))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~(ss3(Xa, Xb, Xp, Xq) = ss2(Xa, Xb, Xp, Xq))))) | (~((~(Xp = Xq)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((~samesideline(Xa, Xb, Xp, Xq)) | (~s_col(Xp, Xq, Xa)))) | (~((~s_col(Xp, Xq, Xb)) | (~samesideline(Xa, Xb, Xp, Xq)))) | (~((Xc = Xv) | (Xp = Xq) | (~s_col(Xp, Xq, Xu)) | (Xc = Xu) | (~s_col(Xp, Xq, Xv)) | samesideline(Xa, Xb, Xp, Xq) | s_col(Xp, Xq, Xb) | s_col(Xp, Xq, Xa) | (Xb = Xv) | (Xa = Xu) | (~s_t(Xb, Xv, Xc)) | (~s_t(Xa, Xu, Xc))))))) | (~((~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xp!1, ss1(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | s_t(Xq!0, ss2(Xp!1, Xq!0, Xb!2, Xa!3), ss3(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xp!1 = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(Xq!0 = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss1(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~(ss3(Xp!1, Xq!0, Xb!2, Xa!3) = ss2(Xp!1, Xq!0, Xb!2, Xa!3))))) | (~((~(Xb!2 = Xa!3)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~((~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)) | (~s_col(Xb!2, Xa!3, Xp!1)))) | (~((~s_col(Xb!2, Xa!3, Xq!0)) | (~samesideline(Xp!1, Xq!0, Xb!2, Xa!3)))) | (~(samesideline(Xp!1, Xq!0, Xb!2, Xa!3) | (Xb!2 = Xa!3) | (Xp!1 = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (Xq!0 = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss1(Xp!1, Xq!0, Xa!3, Xb!2)) | (ss3(Xp!1, Xq!0, Xa!3, Xb!2) = ss2(Xp!1, Xq!0, Xa!3, Xb!2)) | (~s_t(Xp!1, ss1(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_t(Xq!0, ss2(Xp!1, Xq!0, Xa!3, Xb!2), ss3(Xp!1, Xq!0, Xa!3, Xb!2))) | s_col(Xb!2, Xa!3, Xp!1) | s_col(Xb!2, Xa!3, Xq!0) | (~s_col(Xb!2, Xa!3, ss1(Xp!1, Xq!0, Xa!3, Xb!2))) | (~s_col(Xb!2, Xa!3, ss2(Xp!1, Xq!0, Xa!3, Xb!2)))))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[128, 127])).
% 0.48/0.65  tff(130,plain,
% 0.48/0.65      ($false),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[129, 13, 123])).
% 0.48/0.65  % SZS output end Proof
% 0.50/0.65  % E exiting
%------------------------------------------------------------------------------