%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GEO535+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:06:28 AM UTC 2025
% Result : Theorem 0.20s 0.49s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO535+1 : TPTP v9.0.0. Released v7.0.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 15:01:24 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 % SZS output start Proof
% 0.20/0.49 tff(sameside_type, type, (
% 0.20/0.49 sameside: ( $i * $i * $i ) > $o)).
% 0.20/0.49 tff(ext_type, type, (
% 0.20/0.49 ext: ( $i * $i * $i * $i ) > $i)).
% 0.20/0.49 tff(tptp_fun_Xc_3_type, type, (
% 0.20/0.49 tptp_fun_Xc_3: $i)).
% 0.20/0.49 tff(tptp_fun_Xb_4_type, type, (
% 0.20/0.49 tptp_fun_Xb_4: $i)).
% 0.20/0.49 tff(tptp_fun_Xc1_0_type, type, (
% 0.20/0.49 tptp_fun_Xc1_0: $i)).
% 0.20/0.49 tff(tptp_fun_Xb1_1_type, type, (
% 0.20/0.49 tptp_fun_Xb1_1: $i)).
% 0.20/0.49 tff(congruent_type, type, (
% 0.20/0.49 congruent: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 0.20/0.49 tff(tptp_fun_Xa1_2_type, type, (
% 0.20/0.49 tptp_fun_Xa1_2: $i)).
% 0.20/0.49 tff(tptp_fun_Xa_5_type, type, (
% 0.20/0.49 tptp_fun_Xa_5: $i)).
% 0.20/0.49 tff(s_e3_type, type, (
% 0.20/0.49 s_e3: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 0.20/0.49 tff(s_e_type, type, (
% 0.20/0.49 s_e: ( $i * $i * $i * $i ) > $o)).
% 0.20/0.49 tff(s_t_type, type, (
% 0.20/0.49 s_t: ( $i * $i * $i ) > $o)).
% 0.20/0.49 tff(xb_type, type, (
% 0.20/0.49 xb: $i)).
% 0.20/0.49 tff(1,plain,
% 0.20/0.49 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : refl((~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))) <=> (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(2,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.49 tff(3,plain,
% 0.20/0.49 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : rewrite((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(4,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[3])).
% 0.20/0.49 tff(5,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(6,plain,
% 0.20/0.49 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : trans(monotonicity(trans(monotonicity(rewrite(((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)))), ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) <=> ((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))))), rewrite(((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)))), ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))))), (((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))), rewrite(((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))), (((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(7,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[6])).
% 0.20/0.49 tff(8,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','aSatz11_3a')).
% 0.20/0.49 tff(9,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.20/0.49 tff(10,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.20/0.49 tff(11,plain,(
% 0.20/0.49 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.20/0.49 inference(skolemize,[status(sab)],[10])).
% 0.20/0.49 tff(12,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.20/0.49 tff(13,plain,
% 0.20/0.49 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.20/0.50 tff(14,plain,
% 0.20/0.50 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))) | (~((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(15,plain,
% 0.20/0.50 (~((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.20/0.50 tff(16,plain,
% 0.20/0.50 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(17,plain,
% 0.20/0.50 ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[16, 15])).
% 0.20/0.50 tff(18,plain,
% 0.20/0.50 ((~(s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)))) <=> (~(s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(19,plain,
% 0.20/0.50 ((~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : (s_e(Xa, Xc, Xa1, Xc1) | (~s_e(Xb, Xc, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1)) | (~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1)))) <=> (~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : (s_e(Xa, Xc, Xa1, Xc1) | (~s_e(Xb, Xc, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1)) | (~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(20,plain,
% 0.20/0.50 ((~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : ((((~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1))) | (~s_e(Xb, Xc, Xb1, Xc1))) | s_e(Xa, Xc, Xa1, Xc1))) <=> (~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : (s_e(Xa, Xc, Xa1, Xc1) | (~s_e(Xb, Xc, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1)) | (~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(21,axiom,(~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : ((((~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1))) | (~s_e(Xb, Xc, Xb1, Xc1))) | s_e(Xa, Xc, Xa1, Xc1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','aSatz11_49a')).
% 0.20/0.50 tff(22,plain,
% 0.20/0.50 (~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : (s_e(Xa, Xc, Xa1, Xc1) | (~s_e(Xb, Xc, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1)) | (~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.20/0.50 tff(23,plain,
% 0.20/0.50 (~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : (s_e(Xa, Xc, Xa1, Xc1) | (~s_e(Xb, Xc, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1)) | (~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[22, 19])).
% 0.20/0.50 tff(24,plain,
% 0.20/0.50 (~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : (s_e(Xa, Xc, Xa1, Xc1) | (~s_e(Xb, Xc, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1)) | (~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.20/0.50 tff(25,plain,
% 0.20/0.50 (~![Xa: $i, Xb: $i, Xc: $i, Xa1: $i, Xb1: $i, Xc1: $i] : (s_e(Xa, Xc, Xa1, Xc1) | (~s_e(Xb, Xc, Xb1, Xc1)) | (~s_e(Xb, Xa, Xb1, Xa1)) | (~congruent(Xa, Xb, Xc, Xa1, Xb1, Xc1)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[24, 19])).
% 0.20/0.50 tff(26,plain,(
% 0.20/0.50 ~(s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)))),
% 0.20/0.50 inference(skolemize,[status(sab)],[25])).
% 0.20/0.50 tff(27,plain,
% 0.20/0.50 (~(s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[26, 18])).
% 0.20/0.50 tff(28,plain,
% 0.20/0.50 (congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)),
% 0.20/0.50 inference(or_elim,[status(thm)],[27])).
% 0.20/0.50 tff(29,plain,
% 0.20/0.50 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(30,plain,
% 0.20/0.50 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.20/0.50 tff(31,plain,
% 0.20/0.50 (sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[30, 17])).
% 0.20/0.50 tff(32,plain,
% 0.20/0.50 (^[Xa: $i, Xp: $i, Xb: $i] : refl(((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(33,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[32])).
% 0.20/0.50 tff(34,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(35,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','aSatz6_6')).
% 0.20/0.50 tff(36,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.50 tff(37,plain,(
% 0.20/0.50 ![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 0.20/0.50 inference(skolemize,[status(sab)],[36])).
% 0.20/0.50 tff(38,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.20/0.50 tff(39,plain,
% 0.20/0.50 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(40,plain,
% 0.20/0.50 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(41,plain,
% 0.20/0.50 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.20/0.50 tff(42,plain,
% 0.20/0.50 (sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[41, 38, 31])).
% 0.20/0.50 tff(43,plain,
% 0.20/0.50 (^[Xa: $i, Xp: $i, Xb: $i] : refl((~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(44,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[43])).
% 0.20/0.50 tff(45,plain,
% 0.20/0.50 (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))), rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))), rewrite((s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) <=> (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))), rewrite(((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))), rewrite(((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))), rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(46,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[45])).
% 0.20/0.50 tff(47,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(48,plain,
% 0.20/0.50 (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))))), rewrite((((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa)) <=> (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))))), trans(monotonicity(rewrite((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp))), (((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> (((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))), (((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))))), trans(monotonicity(rewrite((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp))), (((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> (((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))), (((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(49,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[48])).
% 0.20/0.50 tff(50,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d_Defn6_1')).
% 0.20/0.50 tff(51,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.20/0.50 tff(52,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.20/0.50 tff(53,plain,(
% 0.20/0.50 ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.20/0.50 inference(skolemize,[status(sab)],[52])).
% 0.20/0.50 tff(54,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[53, 46])).
% 0.20/0.50 tff(55,plain,
% 0.20/0.50 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[54, 44])).
% 0.20/0.50 tff(56,plain,
% 0.20/0.50 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(57,plain,
% 0.20/0.51 ((~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~(s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (Xc1!0 = Xb1!1) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))))) <=> (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(58,plain,
% 0.20/0.51 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~(s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (Xc1!0 = Xb1!1) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[57])).
% 0.20/0.51 tff(59,plain,
% 0.20/0.51 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~(s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (Xc1!0 = Xb1!1) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))))))),
% 0.20/0.51 inference(transitivity,[status(thm)],[58, 56])).
% 0.20/0.51 tff(60,plain,
% 0.20/0.51 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~(s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (Xc1!0 = Xb1!1) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(61,plain,
% 0.20/0.51 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.51 tff(62,plain,
% 0.20/0.51 (~((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[61, 55])).
% 0.20/0.51 tff(63,plain,
% 0.20/0.51 (((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(Xc1!0 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)) | s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (xb = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xc1!0)))) | (~(sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (Xc1!0 = Xb1!1) | (~s_t(Xb1!1, Xc1!0, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))))) | ((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))),
% 0.20/0.51 inference(tautology,[status(thm)],[])).
% 0.20/0.51 tff(64,plain,
% 0.20/0.51 ((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.20/0.51 tff(65,plain,
% 0.20/0.51 ((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1))),
% 0.20/0.51 inference(tautology,[status(thm)],[])).
% 0.20/0.51 tff(66,plain,
% 0.20/0.51 ((~((~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)))) | (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[65, 31])).
% 0.20/0.51 tff(67,plain,
% 0.20/0.51 (~(ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[66, 64])).
% 0.20/0.51 tff(68,plain,
% 0.20/0.51 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))),
% 0.20/0.51 inference(tautology,[status(thm)],[])).
% 0.20/0.51 tff(69,plain,
% 0.20/0.51 ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[68, 15])).
% 0.20/0.51 tff(70,plain,
% 0.20/0.51 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)),
% 0.20/0.51 inference(tautology,[status(thm)],[])).
% 0.20/0.51 tff(71,plain,
% 0.20/0.51 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[70, 28])).
% 0.20/0.51 tff(72,plain,
% 0.20/0.51 (sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[71, 69])).
% 0.20/0.51 tff(73,plain,
% 0.20/0.51 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(74,plain,
% 0.20/0.51 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(75,plain,
% 0.20/0.51 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.20/0.51 tff(76,plain,
% 0.20/0.51 (sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[75, 38, 72])).
% 0.20/0.51 tff(77,plain,
% 0.20/0.51 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(78,plain,
% 0.20/0.52 ((~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~(s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (Xa1!2 = Xb1!1) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))))) <=> (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(79,plain,
% 0.20/0.52 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~(s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (Xa1!2 = Xb1!1) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))))))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[78])).
% 0.20/0.52 tff(80,plain,
% 0.20/0.52 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~(s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (Xa1!2 = Xb1!1) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))))))))),
% 0.20/0.52 inference(transitivity,[status(thm)],[79, 77])).
% 0.20/0.52 tff(81,plain,
% 0.20/0.52 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~(s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (xb = Xb1!1))) | (~((ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (Xa1!2 = Xb1!1) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(82,plain,
% 0.20/0.52 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)))))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.20/0.52 tff(83,plain,
% 0.20/0.52 (~((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[82, 55])).
% 0.20/0.52 tff(84,plain,
% 0.20/0.52 (((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(Xa1!2 = Xb1!1)))) | (~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)) | s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (~s_t(Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xa1!2)) | (xb = Xb1!1))) | (~(sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (Xa1!2 = Xb1!1) | (~s_t(Xb1!1, Xa1!2, ext(Xb1!1, Xa1!2, Xb!4, Xa!5)))))) | ((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(85,plain,
% 0.20/0.52 ((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.20/0.52 tff(86,plain,
% 0.20/0.52 ((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(87,plain,
% 0.20/0.52 ((~((~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)))) | (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[86, 72])).
% 0.20/0.52 tff(88,plain,
% 0.20/0.52 (~(ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[87, 85])).
% 0.20/0.52 tff(89,plain,
% 0.20/0.52 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(90,plain,
% 0.20/0.52 ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[89, 15])).
% 0.20/0.52 tff(91,plain,
% 0.20/0.52 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(92,plain,
% 0.20/0.52 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[91, 28])).
% 0.20/0.53 tff(93,plain,
% 0.20/0.53 (sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[92, 90])).
% 0.20/0.53 tff(94,plain,
% 0.20/0.53 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(95,plain,
% 0.20/0.53 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(96,plain,
% 0.20/0.53 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.20/0.53 tff(97,plain,
% 0.20/0.53 (sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[96, 38, 93])).
% 0.20/0.53 tff(98,plain,
% 0.20/0.53 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(99,plain,
% 0.20/0.53 ((~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))))) <=> (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(100,plain,
% 0.20/0.53 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))))))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[99])).
% 0.20/0.53 tff(101,plain,
% 0.20/0.53 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))))))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[100, 98])).
% 0.20/0.53 tff(102,plain,
% 0.20/0.53 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(103,plain,
% 0.20/0.53 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)))))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.20/0.53 tff(104,plain,
% 0.20/0.53 (~((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[103, 55])).
% 0.20/0.53 tff(105,plain,
% 0.20/0.53 (((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (Xc!3 = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xb1!1, Xc1!0)))))) | ((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(106,plain,
% 0.20/0.54 ((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[105, 104])).
% 0.20/0.54 tff(107,plain,
% 0.20/0.54 ((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(108,plain,
% 0.20/0.54 ((~((~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)))) | (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[107, 93])).
% 0.20/0.54 tff(109,plain,
% 0.20/0.54 (~(ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[108, 106])).
% 0.20/0.54 tff(110,plain,
% 0.20/0.54 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(111,plain,
% 0.20/0.54 ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[110, 15])).
% 0.20/0.54 tff(112,plain,
% 0.20/0.54 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(113,plain,
% 0.20/0.54 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[112, 28])).
% 0.20/0.54 tff(114,plain,
% 0.20/0.54 (sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[113, 111])).
% 0.20/0.54 tff(115,plain,
% 0.20/0.54 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(116,plain,
% 0.20/0.54 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(117,plain,
% 0.20/0.54 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.38/0.54 tff(118,plain,
% 0.38/0.54 (sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[117, 38, 114])).
% 0.38/0.54 tff(119,plain,
% 0.38/0.54 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))))))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(120,plain,
% 0.38/0.54 ((~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))))) <=> (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)))))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(121,plain,
% 0.38/0.54 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))))))))),
% 0.38/0.54 inference(monotonicity,[status(thm)],[120])).
% 0.38/0.54 tff(122,plain,
% 0.38/0.54 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))))))))),
% 0.38/0.54 inference(transitivity,[status(thm)],[121, 119])).
% 0.38/0.54 tff(123,plain,
% 0.38/0.54 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))))),
% 0.38/0.55 inference(quant_inst,[status(thm)],[])).
% 0.38/0.55 tff(124,plain,
% 0.38/0.55 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)))))))),
% 0.38/0.55 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.38/0.55 tff(125,plain,
% 0.38/0.55 (~((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))))))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[124, 55])).
% 0.38/0.55 tff(126,plain,
% 0.38/0.55 (((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (Xa!5 = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xb1!1, Xa1!2)))))) | ((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))),
% 0.38/0.55 inference(tautology,[status(thm)],[])).
% 0.38/0.55 tff(127,plain,
% 0.38/0.55 ((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[126, 125])).
% 0.38/0.55 tff(128,plain,
% 0.38/0.55 ((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4))),
% 0.38/0.55 inference(tautology,[status(thm)],[])).
% 0.38/0.55 tff(129,plain,
% 0.38/0.55 ((~((~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)))) | (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[128, 114])).
% 0.38/0.55 tff(130,plain,
% 0.38/0.55 (~(ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4)),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[129, 127])).
% 0.38/0.55 tff(131,plain,
% 0.38/0.55 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))),
% 0.38/0.55 inference(tautology,[status(thm)],[])).
% 0.38/0.55 tff(132,plain,
% 0.38/0.55 ((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[131, 15])).
% 0.38/0.55 tff(133,plain,
% 0.38/0.55 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))) | (~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))),
% 0.38/0.55 inference(tautology,[status(thm)],[])).
% 0.38/0.55 tff(134,plain,
% 0.38/0.55 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xa1!2, Xb1!1, Xc1!0)) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))) | s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[133, 28])).
% 0.38/0.55 tff(135,plain,
% 0.38/0.55 (s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))),
% 0.38/0.55 inference(unit_resolution,[status(thm)],[134, 132])).
% 0.38/0.55 tff(136,plain,
% 0.38/0.55 (s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)),
% 0.38/0.55 inference(or_elim,[status(thm)],[27])).
% 0.38/0.55 tff(137,plain,
% 0.38/0.55 (s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)),
% 0.38/0.55 inference(or_elim,[status(thm)],[27])).
% 0.38/0.55 tff(138,plain,
% 0.38/0.55 (~s_e(Xa!5, Xc!3, Xa1!2, Xc1!0)),
% 0.38/0.55 inference(or_elim,[status(thm)],[27])).
% 0.38/0.55 tff(139,plain,
% 0.38/0.55 (^[Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : refl((s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) <=> (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))),
% 0.38/0.55 inference(bind,[status(th)],[])).
% 0.38/0.55 tff(140,plain,
% 0.38/0.55 (![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) <=> ![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))),
% 0.38/0.55 inference(quant_intro,[status(thm)],[139])).
% 0.38/0.55 tff(141,plain,
% 0.38/0.55 (![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) <=> ![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))),
% 0.38/0.55 inference(rewrite,[status(thm)],[])).
% 0.38/0.55 tff(142,plain,
% 0.38/0.55 (^[Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) <=> ((~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) <=> (((~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xd1, Xe, Xd2))))), rewrite((((~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xd1, Xe, Xd2))) <=> ((~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) <=> ((~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), (((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) <=> (((~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xf1, Xe, Xf2))))), rewrite((((~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xf1, Xe, Xf2))) <=> ((~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), (((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) <=> ((~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), ((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) <=> (((~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))))), rewrite((((~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) <=> ((~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) <=> ((~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), (((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) <=> (((~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xa = Xb)))), rewrite((((~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xa = Xb)) <=> ((Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), (((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) <=> ((Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), ((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) <=> (((Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xc = Xb)))), rewrite((((Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xc = Xb)) <=> ((Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) <=> ((Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), (((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xd = Xe)))), rewrite((((Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xd = Xe)) <=> ((Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), (((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), ((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (Xf = Xe)) <=> ((Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), (((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) <=> (((Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xa2, Xb, Xa))))), rewrite((((Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xa2, Xb, Xa))) <=> ((~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), (((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) <=> ((~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), ((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) <=> (((~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xc2, Xb, Xc))))), rewrite((((~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xc2, Xb, Xc))) <=> ((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) <=> ((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), (((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) <=> (((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xd2, Xe, Xd))))), rewrite((((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xd2, Xe, Xd))) <=> ((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), (((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) <=> ((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), ((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) <=> (((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xf2, Xe, Xf))))), rewrite((((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~sameside(Xf2, Xe, Xf))) <=> ((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) <=> ((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), (((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) <=> (((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~s_e(Xb, Xa2, Xe, Xd2))))), rewrite((((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~s_e(Xb, Xa2, Xe, Xd2))) <=> ((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), (((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) <=> ((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), ((((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) <=> (((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~s_e(Xb, Xc2, Xe, Xf2))))), rewrite((((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | (~s_e(Xb, Xc2, Xe, Xf2))) <=> ((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), ((((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) <=> ((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))))), (((((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> (((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | s_e(Xa2, Xc2, Xd2, Xf2)))), rewrite((((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))), (((((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))))),
% 0.38/0.55 inference(bind,[status(th)],[])).
% 0.38/0.55 tff(143,plain,
% 0.38/0.55 (![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : ((((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> ![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))),
% 0.38/0.55 inference(quant_intro,[status(thm)],[142])).
% 0.38/0.55 tff(144,axiom,(![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : ((((((((((((((((~sameside(Xa1, Xb, Xa2)) | (~sameside(Xc1, Xb, Xc2))) | (~sameside(Xd1, Xe, Xd2))) | (~sameside(Xf1, Xe, Xf2))) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1))) | (Xa = Xb)) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','aSatz11_4d')).
% 0.38/0.55 tff(145,plain,
% 0.38/0.55 (![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.40/0.55 tff(146,plain,
% 0.40/0.55 (![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[145, 141])).
% 0.40/0.55 tff(147,plain,(
% 0.40/0.55 ![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))),
% 0.40/0.55 inference(skolemize,[status(sab)],[146])).
% 0.40/0.55 tff(148,plain,
% 0.40/0.55 (![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))),
% 0.40/0.55 inference(modus_ponens,[status(thm)],[147, 140])).
% 0.40/0.55 tff(149,plain,
% 0.40/0.55 (((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | (s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))) <=> ((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(150,plain,
% 0.40/0.56 ((s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5))) <=> (s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))),
% 0.40/0.56 inference(rewrite,[status(thm)],[])).
% 0.40/0.56 tff(151,plain,
% 0.40/0.56 (((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | (s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))) <=> ((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | (s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))))),
% 0.40/0.56 inference(monotonicity,[status(thm)],[150])).
% 0.40/0.56 tff(152,plain,
% 0.40/0.56 (((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | (s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))) <=> ((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))))),
% 0.40/0.58 inference(transitivity,[status(thm)],[151, 149])).
% 0.40/0.58 tff(153,plain,
% 0.40/0.58 ((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | (s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)))),
% 0.40/0.58 inference(quant_inst,[status(thm)],[])).
% 0.40/0.58 tff(154,plain,
% 0.40/0.58 ((~![Xa1: $i, Xb: $i, Xa2: $i, Xc1: $i, Xc2: $i, Xd1: $i, Xe: $i, Xd2: $i, Xf1: $i, Xf2: $i, Xa: $i, Xc: $i, Xd: $i, Xf: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (Xf = Xe) | (Xd = Xe) | (Xc = Xb) | (Xa = Xb) | (~s_e3(Xa1, Xb, Xc1, Xd1, Xe, Xf1)) | (~sameside(Xf1, Xe, Xf2)) | (~sameside(Xd1, Xe, Xd2)) | (~sameside(Xc1, Xb, Xc2)) | (~sameside(Xa1, Xb, Xa2)))) | s_e(Xa!5, Xc!3, Xa1!2, Xc1!0) | (~s_e(Xb!4, Xc!3, Xb1!1, Xc1!0)) | (~s_e(Xb!4, Xa!5, Xb1!1, Xa1!2)) | (~sameside(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, Xa!5)) | (~sameside(ext(Xb!4, Xc!3, Xb1!1, Xc1!0), Xb!4, Xc!3)) | (~sameside(ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, Xa1!2)) | (~sameside(ext(Xb1!1, Xc1!0, Xb!4, Xc!3), Xb1!1, Xc1!0)) | (~s_e3(ext(Xb!4, Xa!5, Xb1!1, Xa1!2), Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0), ext(Xb1!1, Xa1!2, Xb!4, Xa!5), Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3))) | (ext(Xb!4, Xa!5, Xb1!1, Xa1!2) = Xb!4) | (ext(Xb!4, Xc!3, Xb1!1, Xc1!0) = Xb!4) | (ext(Xb1!1, Xa1!2, Xb!4, Xa!5) = Xb1!1) | (ext(Xb1!1, Xc1!0, Xb!4, Xc!3) = Xb1!1) | (~sameside(Xa!5, Xb!4, ext(Xb!4, Xa!5, Xb1!1, Xa1!2))) | (~sameside(Xc!3, Xb!4, ext(Xb!4, Xc!3, Xb1!1, Xc1!0))) | (~sameside(Xa1!2, Xb1!1, ext(Xb1!1, Xa1!2, Xb!4, Xa!5))) | (~sameside(Xc1!0, Xb1!1, ext(Xb1!1, Xc1!0, Xb!4, Xc!3)))),
% 0.40/0.58 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.40/0.58 tff(155,plain,
% 0.40/0.58 ($false),
% 0.40/0.58 inference(unit_resolution,[status(thm)],[154, 148, 138, 137, 136, 114, 93, 72, 31, 135, 130, 118, 109, 97, 88, 76, 67, 42])).
% 0.40/0.58 % SZS output end Proof
% 0.40/0.58 % E exiting
%------------------------------------------------------------------------------