TSTP Solution File: GEO531+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO531+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : Fri Sep 16 20:36:53 EDT 2022
% Result : Theorem 83.61s 54.27s
% Output : Proof 84.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO531+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n018.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 : Wed Aug 31 11:25:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 83.61/54.27 % SZS status Theorem
% 83.61/54.27 % SZS output start Proof
% 83.61/54.27 tff(s_e_type, type, (
% 83.61/54.27 s_e: ( $i * $i * $i * $i ) > $o)).
% 83.61/54.27 tff(f113c_type, type, (
% 83.61/54.27 f113c: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 83.61/54.27 tff(tptp_fun_Xc_0_type, type, (
% 83.61/54.27 tptp_fun_Xc_0: $i)).
% 83.61/54.27 tff(tptp_fun_Xb_1_type, type, (
% 83.61/54.27 tptp_fun_Xb_1: $i)).
% 83.61/54.27 tff(tptp_fun_Xa_2_type, type, (
% 83.61/54.27 tptp_fun_Xa_2: $i)).
% 83.61/54.27 tff(f113a_type, type, (
% 83.61/54.27 f113a: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 83.61/54.27 tff(f113f_type, type, (
% 83.61/54.27 f113f: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 83.61/54.27 tff(f113d_type, type, (
% 83.61/54.27 f113d: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 83.61/54.27 tff(s_type, type, (
% 83.61/54.27 s: ( $i * $i ) > $i)).
% 83.61/54.27 tff(isomidpoint_type, type, (
% 83.61/54.27 isomidpoint: ( $i * $i * $i ) > $i)).
% 83.61/54.27 tff(s_m_type, type, (
% 83.61/54.27 s_m: ( $i * $i * $i ) > $o)).
% 83.61/54.27 tff(congruent_type, type, (
% 83.61/54.27 congruent: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 83.61/54.27 tff(sameside_type, type, (
% 83.61/54.27 sameside: ( $i * $i * $i ) > $o)).
% 83.61/54.27 tff(s_t_type, type, (
% 83.61/54.27 s_t: ( $i * $i * $i ) > $o)).
% 83.61/54.27 tff(c63_type, type, (
% 83.61/54.27 c63: ( $i * $i * $i ) > $i)).
% 83.61/54.27 tff(s_col_type, type, (
% 83.61/54.27 s_col: ( $i * $i * $i ) > $o)).
% 83.61/54.27 tff(xb_type, type, (
% 83.61/54.27 xb: $i)).
% 83.61/54.27 tff(le_type, type, (
% 83.61/54.27 le: ( $i * $i * $i * $i ) > $o)).
% 83.61/54.27 tff(1,plain,
% 83.61/54.27 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : refl((~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))) <=> (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))))),
% 83.61/54.27 inference(bind,[status(th)],[])).
% 83.61/54.27 tff(2,plain,
% 83.61/54.27 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 83.61/54.27 inference(quant_intro,[status(thm)],[1])).
% 83.61/54.27 tff(3,plain,
% 83.61/54.27 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : trans(monotonicity(rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite(((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))), ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))), ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))))),
% 83.61/54.27 inference(bind,[status(th)],[])).
% 83.61/54.27 tff(4,plain,
% 83.61/54.27 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 83.61/54.28 inference(quant_intro,[status(thm)],[3])).
% 83.61/54.28 tff(5,plain,
% 83.61/54.28 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 83.61/54.28 inference(rewrite,[status(thm)],[])).
% 83.61/54.28 tff(6,plain,
% 83.61/54.28 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), (((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)))), (((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), ((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)))), ((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))))), ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xb)) <=> ((Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> (((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)))), rewrite((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb))), ((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) <=> ((Xd = Xe) | (Xa = Xb) | (Xc = Xb)))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> (((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)))), rewrite((((Xd = Xe) | (Xa = Xb) | (Xc = Xb)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb))), (((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (Xc = Xb)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))), ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), rewrite((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))), (((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) <=> ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))), (((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))))), rewrite(((((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))), (((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 83.61/54.28 inference(bind,[status(th)],[])).
% 83.61/54.28 tff(7,plain,
% 83.61/54.28 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 83.61/54.28 inference(quant_intro,[status(thm)],[6])).
% 83.61/54.28 tff(8,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf))) & ((((((Xa = Xb) | (Xc = Xb)) | (Xd = Xe)) | (Xf = Xe)) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz11_4b')).
% 83.61/54.28 tff(9,plain,
% 83.61/54.28 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 83.61/54.28 inference(modus_ponens,[status(thm)],[8, 7])).
% 83.61/54.28 tff(10,plain,
% 83.61/54.28 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 83.61/54.28 inference(modus_ponens,[status(thm)],[9, 5])).
% 83.61/54.28 tff(11,plain,(
% 83.61/54.28 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf)) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf))) & ((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))),
% 83.61/54.28 inference(skolemize,[status(sab)],[10])).
% 83.61/54.28 tff(12,plain,
% 83.61/54.28 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 83.61/54.28 inference(modus_ponens,[status(thm)],[11, 4])).
% 83.61/54.28 tff(13,plain,
% 83.61/54.28 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))),
% 83.61/54.28 inference(modus_ponens,[status(thm)],[12, 2])).
% 83.61/54.28 tff(14,plain,
% 83.61/54.28 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.61/54.28 inference(rewrite,[status(thm)],[])).
% 83.61/54.28 tff(15,plain,
% 83.61/54.28 ((~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1))))) <=> (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.61/54.28 inference(rewrite,[status(thm)],[])).
% 83.61/54.28 tff(16,plain,
% 83.61/54.28 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.61/54.29 inference(monotonicity,[status(thm)],[15])).
% 83.61/54.29 tff(17,plain,
% 83.61/54.29 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.61/54.29 inference(transitivity,[status(thm)],[16, 14])).
% 83.61/54.29 tff(18,plain,
% 83.61/54.29 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (Xc!0 = Xb!1) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | (Xa!2 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1)))))),
% 83.61/54.29 inference(quant_inst,[status(thm)],[])).
% 83.61/54.29 tff(19,plain,
% 83.61/54.29 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xa))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xb, Xc))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113d(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xd))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | sameside(f113f(Xa, Xb, Xc, Xd, Xe, Xf), Xe, Xf))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113a(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113d(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (Xc = Xb) | s_e(Xb, f113c(Xa, Xb, Xc, Xd, Xe, Xf), Xe, f113f(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~((Xd = Xe) | (Xf = Xe) | (Xa = Xb) | congruent(Xa, Xb, Xc, Xd, Xe, Xf) | (~s_e(f113a(Xa, Xb, Xc, Xd, Xe, Xf), f113c(Xa, Xb, Xc, Xd, Xe, Xf), f113d(Xa, Xb, Xc, Xd, Xe, Xf), f113f(Xa, Xb, Xc, Xd, Xe, Xf))) | (Xc = Xb)))))) | (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[18, 17])).
% 83.61/54.29 tff(20,plain,
% 83.61/54.29 (~((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 83.61/54.29 inference(unit_resolution,[status(thm)],[19, 13])).
% 83.61/54.29 tff(21,plain,
% 83.61/54.29 (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.61/54.29 inference(tautology,[status(thm)],[])).
% 83.61/54.29 tff(22,plain,
% 83.61/54.29 ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.29 inference(unit_resolution,[status(thm)],[21, 20])).
% 83.61/54.29 tff(23,plain,
% 83.61/54.29 ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))) <=> (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc)))),
% 83.61/54.29 inference(rewrite,[status(thm)],[])).
% 83.61/54.29 tff(24,plain,
% 83.61/54.29 ((~![Xa: $i, Xb: $i, Xc: $i] : (((Xa = Xb) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))) <=> (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc)))),
% 83.61/54.29 inference(rewrite,[status(thm)],[])).
% 83.61/54.29 tff(25,axiom,(~![Xa: $i, Xb: $i, Xc: $i] : (((Xa = Xb) | (Xc = Xb)) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz11_6')).
% 83.61/54.29 tff(26,plain,
% 83.61/54.29 (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[25, 24])).
% 83.61/54.29 tff(27,plain,
% 83.61/54.29 (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[26, 23])).
% 83.61/54.29 tff(28,plain,
% 83.61/54.29 (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[27, 23])).
% 83.61/54.29 tff(29,plain,
% 83.61/54.29 (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[28, 23])).
% 83.61/54.29 tff(30,plain,
% 83.61/54.29 (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[29, 23])).
% 83.61/54.29 tff(31,plain,
% 83.61/54.29 (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[30, 23])).
% 83.61/54.29 tff(32,plain,
% 83.61/54.29 (~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (Xc = Xb) | congruent(Xa, Xb, Xc, Xa, Xb, Xc))),
% 83.61/54.29 inference(modus_ponens,[status(thm)],[31, 23])).
% 83.61/54.29 tff(33,plain,(
% 83.61/54.29 ~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.29 inference(skolemize,[status(sab)],[32])).
% 83.61/54.29 tff(34,plain,
% 83.61/54.29 (~congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 83.61/54.29 inference(or_elim,[status(thm)],[33])).
% 83.61/54.29 tff(35,plain,
% 83.61/54.29 (~(Xc!0 = Xb!1)),
% 83.61/54.29 inference(or_elim,[status(thm)],[33])).
% 83.61/54.29 tff(36,plain,
% 83.61/54.29 (~(Xa!2 = Xb!1)),
% 83.61/54.29 inference(or_elim,[status(thm)],[33])).
% 83.61/54.29 tff(37,plain,
% 83.61/54.29 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.29 inference(tautology,[status(thm)],[])).
% 83.61/54.29 tff(38,plain,
% 83.61/54.29 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.30 inference(unit_resolution,[status(thm)],[37, 36, 35, 34])).
% 83.61/54.30 tff(39,plain,
% 83.61/54.30 (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.30 inference(unit_resolution,[status(thm)],[38, 22])).
% 83.61/54.30 tff(40,plain,
% 83.61/54.30 (^[Xc: $i, Xa: $i, Xb: $i] : refl(((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)) <=> ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)))),
% 83.61/54.30 inference(bind,[status(th)],[])).
% 83.61/54.30 tff(41,plain,
% 83.61/54.30 (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)) <=> ![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 83.61/54.30 inference(quant_intro,[status(thm)],[40])).
% 83.61/54.30 tff(42,plain,
% 83.61/54.30 (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb)) <=> ![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 83.61/54.30 inference(rewrite,[status(thm)],[])).
% 83.61/54.30 tff(43,axiom,(![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz7_25')).
% 83.61/54.30 tff(44,plain,
% 83.61/54.30 (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 83.61/54.30 inference(modus_ponens,[status(thm)],[43, 42])).
% 83.61/54.30 tff(45,plain,(
% 83.61/54.30 ![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 83.61/54.30 inference(skolemize,[status(sab)],[44])).
% 83.61/54.30 tff(46,plain,
% 83.61/54.30 (![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))),
% 83.61/54.30 inference(modus_ponens,[status(thm)],[45, 41])).
% 83.61/54.30 tff(47,plain,
% 83.61/54.30 (((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.61/54.30 inference(rewrite,[status(thm)],[])).
% 83.61/54.30 tff(48,plain,
% 83.61/54.30 ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.61/54.30 inference(quant_inst,[status(thm)],[])).
% 83.61/54.30 tff(49,plain,
% 83.61/54.30 ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.30 inference(modus_ponens,[status(thm)],[48, 47])).
% 83.61/54.30 tff(50,plain,
% 83.61/54.30 (s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.30 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 83.61/54.30 tff(51,plain,
% 83.61/54.30 (^[Xp: $i, Xa: $i, Xq: $i] : refl(((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))) <=> ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))))),
% 83.61/54.30 inference(bind,[status(th)],[])).
% 83.61/54.30 tff(52,plain,
% 83.61/54.30 (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))) <=> ![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 83.61/54.30 inference(quant_intro,[status(thm)],[51])).
% 83.61/54.30 tff(53,plain,
% 83.61/54.30 (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp))) <=> ![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 83.61/54.30 inference(rewrite,[status(thm)],[])).
% 83.61/54.30 tff(54,axiom,(![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz7_6')).
% 83.61/54.30 tff(55,plain,
% 83.61/54.30 (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 83.61/54.30 inference(modus_ponens,[status(thm)],[54, 53])).
% 83.61/54.30 tff(56,plain,(
% 83.61/54.30 ![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 83.61/54.30 inference(skolemize,[status(sab)],[55])).
% 83.61/54.30 tff(57,plain,
% 83.61/54.30 (![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))),
% 83.61/54.30 inference(modus_ponens,[status(thm)],[56, 52])).
% 83.61/54.30 tff(58,plain,
% 83.61/54.30 (((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.61/54.30 inference(rewrite,[status(thm)],[])).
% 83.61/54.30 tff(59,plain,
% 83.61/54.30 ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.61/54.30 inference(quant_inst,[status(thm)],[])).
% 83.61/54.30 tff(60,plain,
% 83.61/54.30 ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.61/54.30 inference(modus_ponens,[status(thm)],[59, 58])).
% 83.61/54.30 tff(61,plain,
% 83.61/54.30 (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.61/54.30 inference(unit_resolution,[status(thm)],[60, 57, 50])).
% 83.61/54.30 tff(62,plain,
% 83.61/54.30 (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 83.61/54.30 inference(symmetry,[status(thm)],[61])).
% 83.61/54.30 tff(63,plain,
% 83.61/54.30 (^[Xa: $i, Xp: $i, Xb: $i] : refl((~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))) <=> (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))))),
% 83.61/54.30 inference(bind,[status(th)],[])).
% 83.61/54.30 tff(64,plain,
% 83.61/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(quant_intro,[status(thm)],[63])).
% 83.74/54.30 tff(65,plain,
% 83.74/54.30 (^[Xa: $i, Xp: $i, Xb: $i] : rewrite((((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))) <=> (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))))),
% 83.74/54.30 inference(bind,[status(th)],[])).
% 83.74/54.30 tff(66,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(quant_intro,[status(thm)],[65])).
% 83.74/54.30 tff(67,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 83.74/54.30 inference(rewrite,[status(thm)],[])).
% 83.74/54.30 tff(68,plain,
% 83.74/54.30 (^[Xa: $i, Xp: $i, Xb: $i] : rewrite((((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~sameside(Xa, Xp, Xb)) | (~s_t(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb)))))),
% 83.74/54.30 inference(bind,[status(th)],[])).
% 83.74/54.30 tff(69,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~sameside(Xa, Xp, Xb)) | (~s_t(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 83.74/54.30 inference(quant_intro,[status(thm)],[68])).
% 83.74/54.30 tff(70,axiom,(![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~sameside(Xa, Xp, Xb)) | (~s_t(Xa, Xp, Xb))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_4a')).
% 83.74/54.30 tff(71,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[70, 69])).
% 83.74/54.30 tff(72,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[71, 67])).
% 83.74/54.30 tff(73,plain,(
% 83.74/54.30 ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb)) & ((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))),
% 83.74/54.30 inference(skolemize,[status(sab)],[72])).
% 83.74/54.30 tff(74,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[73, 66])).
% 83.74/54.30 tff(75,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[74, 64])).
% 83.74/54.30 tff(76,plain,
% 83.74/54.30 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.30 inference(quant_inst,[status(thm)],[])).
% 83.74/54.30 tff(77,plain,
% 83.74/54.30 (~((~((~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.30 inference(unit_resolution,[status(thm)],[76, 75])).
% 83.74/54.30 tff(78,plain,
% 83.74/54.30 (((~((~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) | ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.30 inference(tautology,[status(thm)],[])).
% 83.74/54.30 tff(79,plain,
% 83.74/54.30 ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.30 inference(unit_resolution,[status(thm)],[78, 77])).
% 83.74/54.30 tff(80,plain,
% 83.74/54.30 (^[Xa: $i, Xp: $i, Xb: $i] : refl((~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))))),
% 83.74/54.30 inference(bind,[status(th)],[])).
% 83.74/54.30 tff(81,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(quant_intro,[status(thm)],[80])).
% 83.74/54.30 tff(82,plain,
% 83.74/54.30 (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))), rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))), rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))))),
% 83.74/54.30 inference(bind,[status(th)],[])).
% 83.74/54.30 tff(83,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(quant_intro,[status(thm)],[82])).
% 83.74/54.30 tff(84,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 83.74/54.30 inference(rewrite,[status(thm)],[])).
% 83.74/54.30 tff(85,plain,
% 83.74/54.30 (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(bind,[status(th)],[])).
% 83.74/54.30 tff(86,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb)))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 83.74/54.30 inference(quant_intro,[status(thm)],[85])).
% 83.74/54.30 tff(87,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_3a')).
% 83.74/54.30 tff(88,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[87, 86])).
% 83.74/54.30 tff(89,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[88, 84])).
% 83.74/54.30 tff(90,plain,(
% 83.74/54.30 ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb))) & ((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))),
% 83.74/54.30 inference(skolemize,[status(sab)],[89])).
% 83.74/54.30 tff(91,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[90, 83])).
% 83.74/54.30 tff(92,plain,
% 83.74/54.30 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))),
% 83.74/54.30 inference(modus_ponens,[status(thm)],[91, 81])).
% 83.74/54.30 tff(93,plain,
% 83.74/54.30 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.30 inference(rewrite,[status(thm)],[])).
% 83.74/54.30 tff(94,plain,
% 83.74/54.30 ((~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.30 inference(rewrite,[status(thm)],[])).
% 83.74/54.30 tff(95,plain,
% 83.74/54.30 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.31 inference(monotonicity,[status(thm)],[94])).
% 83.74/54.31 tff(96,plain,
% 83.74/54.31 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.31 inference(transitivity,[status(thm)],[95, 93])).
% 83.74/54.31 tff(97,plain,
% 83.74/54.31 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.31 inference(quant_inst,[status(thm)],[])).
% 83.74/54.31 tff(98,plain,
% 83.74/54.31 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.31 inference(modus_ponens,[status(thm)],[97, 96])).
% 83.74/54.31 tff(99,plain,
% 83.74/54.31 (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[98, 92])).
% 83.74/54.31 tff(100,plain,
% 83.74/54.31 (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.31 inference(tautology,[status(thm)],[])).
% 83.74/54.31 tff(101,plain,
% 83.74/54.31 ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[100, 99])).
% 83.74/54.31 tff(102,plain,
% 83.74/54.31 (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.31 inference(tautology,[status(thm)],[])).
% 83.74/54.31 tff(103,plain,
% 83.74/54.31 ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[102, 20])).
% 83.74/54.31 tff(104,plain,
% 83.74/54.31 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(tautology,[status(thm)],[])).
% 83.74/54.31 tff(105,plain,
% 83.74/54.31 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[104, 36, 35, 34])).
% 83.74/54.31 tff(106,plain,
% 83.74/54.31 (sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[105, 103])).
% 83.74/54.31 tff(107,plain,
% 83.74/54.31 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.31 inference(tautology,[status(thm)],[])).
% 83.74/54.31 tff(108,plain,
% 83.74/54.31 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[107, 106])).
% 83.74/54.31 tff(109,plain,
% 83.74/54.31 (s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[108, 101])).
% 83.74/54.31 tff(110,plain,
% 83.74/54.31 ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.31 inference(tautology,[status(thm)],[])).
% 83.74/54.31 tff(111,plain,
% 83.74/54.31 ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[110, 109])).
% 83.74/54.31 tff(112,plain,
% 83.74/54.31 (~sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[111, 79])).
% 83.74/54.31 tff(113,plain,
% 83.74/54.31 (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.31 inference(tautology,[status(thm)],[])).
% 83.74/54.31 tff(114,plain,
% 83.74/54.31 ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[113, 20])).
% 83.74/54.31 tff(115,plain,
% 83.74/54.31 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(tautology,[status(thm)],[])).
% 83.74/54.31 tff(116,plain,
% 83.74/54.31 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[115, 36, 35, 34])).
% 83.74/54.31 tff(117,plain,
% 83.74/54.31 (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.31 inference(unit_resolution,[status(thm)],[116, 114])).
% 83.74/54.31 tff(118,plain,
% 83.74/54.31 (^[Xa: $i, Xp: $i, Xb: $i] : refl(((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa)))),
% 83.74/54.31 inference(bind,[status(th)],[])).
% 83.74/54.31 tff(119,plain,
% 83.74/54.31 (![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))),
% 83.74/54.31 inference(quant_intro,[status(thm)],[118])).
% 83.74/54.31 tff(120,plain,
% 83.74/54.31 (![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))),
% 83.74/54.31 inference(rewrite,[status(thm)],[])).
% 83.74/54.31 tff(121,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_6')).
% 83.74/54.31 tff(122,plain,
% 83.74/54.31 (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 83.74/54.31 inference(modus_ponens,[status(thm)],[121, 120])).
% 83.74/54.31 tff(123,plain,(
% 83.74/54.31 ![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 83.74/54.31 inference(skolemize,[status(sab)],[122])).
% 83.74/54.31 tff(124,plain,
% 83.74/54.31 (![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))),
% 83.74/54.31 inference(modus_ponens,[status(thm)],[123, 119])).
% 83.74/54.31 tff(125,plain,
% 83.74/54.31 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.74/54.31 inference(rewrite,[status(thm)],[])).
% 83.74/54.31 tff(126,plain,
% 83.74/54.31 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.74/54.32 inference(quant_inst,[status(thm)],[])).
% 83.74/54.32 tff(127,plain,
% 83.74/54.32 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[126, 125])).
% 83.74/54.32 tff(128,plain,
% 83.74/54.32 (sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.74/54.32 inference(unit_resolution,[status(thm)],[127, 124, 117])).
% 83.74/54.32 tff(129,plain,
% 83.74/54.32 (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : refl(((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))))),
% 83.74/54.32 inference(bind,[status(th)],[])).
% 83.74/54.32 tff(130,plain,
% 83.74/54.32 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 83.74/54.32 inference(quant_intro,[status(thm)],[129])).
% 83.74/54.32 tff(131,plain,
% 83.74/54.32 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc))) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 83.74/54.32 inference(rewrite,[status(thm)],[])).
% 83.74/54.32 tff(132,plain,
% 83.74/54.32 (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : trans(monotonicity(rewrite(((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) <=> ((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc)))), ((((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> (((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)))), rewrite((((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))), ((((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))))),
% 83.74/54.32 inference(bind,[status(th)],[])).
% 83.74/54.32 tff(133,plain,
% 83.74/54.32 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : (((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 83.74/54.32 inference(quant_intro,[status(thm)],[132])).
% 83.74/54.32 tff(134,axiom,(![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : (((~sameside(Xa, Xp, Xb)) | (~sameside(Xb, Xp, Xc))) | sameside(Xa, Xp, Xc))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_7')).
% 83.74/54.32 tff(135,plain,
% 83.74/54.32 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[134, 133])).
% 83.74/54.32 tff(136,plain,
% 83.74/54.32 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[135, 131])).
% 83.74/54.32 tff(137,plain,(
% 83.74/54.32 ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 83.74/54.32 inference(skolemize,[status(sab)],[136])).
% 83.74/54.32 tff(138,plain,
% 83.74/54.32 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[137, 130])).
% 83.74/54.32 tff(139,plain,
% 83.74/54.32 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.32 inference(rewrite,[status(thm)],[])).
% 83.74/54.32 tff(140,plain,
% 83.74/54.32 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.32 inference(quant_inst,[status(thm)],[])).
% 83.74/54.32 tff(141,plain,
% 83.74/54.32 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xc!0, Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[140, 139])).
% 83.74/54.32 tff(142,plain,
% 83.74/54.32 (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.32 inference(unit_resolution,[status(thm)],[141, 138, 128, 112])).
% 83.74/54.32 tff(143,plain,
% 83.74/54.32 (^[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))))))),
% 83.74/54.32 inference(bind,[status(th)],[])).
% 83.74/54.32 tff(144,plain,
% 83.74/54.32 (![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)))))),
% 83.74/54.32 inference(quant_intro,[status(thm)],[143])).
% 83.74/54.32 tff(145,plain,
% 83.74/54.32 (^[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)))))))),
% 83.74/54.32 inference(bind,[status(th)],[])).
% 83.74/54.32 tff(146,plain,
% 83.74/54.32 (![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)))))),
% 83.74/54.32 inference(quant_intro,[status(thm)],[145])).
% 83.74/54.32 tff(147,plain,
% 83.74/54.32 (![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)))),
% 83.74/54.32 inference(rewrite,[status(thm)],[])).
% 83.74/54.32 tff(148,plain,
% 83.74/54.32 (^[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)))))),
% 83.74/54.32 inference(bind,[status(th)],[])).
% 83.74/54.32 tff(149,plain,
% 83.74/54.32 (![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)))),
% 83.74/54.32 inference(quant_intro,[status(thm)],[148])).
% 83.74/54.32 tff(150,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d_Defn6_1')).
% 83.74/54.32 tff(151,plain,
% 83.74/54.32 (![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)))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[150, 149])).
% 83.74/54.32 tff(152,plain,
% 83.74/54.32 (![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)))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[151, 147])).
% 83.74/54.32 tff(153,plain,(
% 83.74/54.32 ![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)))),
% 83.74/54.32 inference(skolemize,[status(sab)],[152])).
% 83.74/54.32 tff(154,plain,
% 83.74/54.32 (![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)))))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[153, 146])).
% 83.74/54.32 tff(155,plain,
% 83.74/54.32 (![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)))))),
% 83.74/54.32 inference(modus_ponens,[status(thm)],[154, 144])).
% 83.74/54.32 tff(156,plain,
% 83.74/54.32 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))))),
% 83.74/54.32 inference(rewrite,[status(thm)],[])).
% 83.74/54.32 tff(157,plain,
% 83.74/54.32 ((~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = Xc!0))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))))),
% 83.74/54.32 inference(rewrite,[status(thm)],[])).
% 83.74/54.32 tff(158,plain,
% 83.74/54.32 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = Xc!0))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))))),
% 83.74/54.32 inference(monotonicity,[status(thm)],[157])).
% 83.74/54.32 tff(159,plain,
% 83.74/54.32 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = Xc!0))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))))),
% 83.74/54.33 inference(transitivity,[status(thm)],[158, 156])).
% 83.74/54.33 tff(160,plain,
% 83.74/54.33 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (xb = Xc!0))) | (~((Xb!1 = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.33 inference(quant_inst,[status(thm)],[])).
% 83.74/54.33 tff(161,plain,
% 83.74/54.33 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))))),
% 83.74/54.33 inference(modus_ponens,[status(thm)],[160, 159])).
% 83.74/54.33 tff(162,plain,
% 83.74/54.33 (~((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1)))))),
% 83.74/54.33 inference(unit_resolution,[status(thm)],[161, 155])).
% 83.74/54.33 tff(163,plain,
% 83.74/54.33 (((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(Xb!1 = Xc!0)))) | (~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (xb = Xc!0))) | (~(sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (Xb!1 = Xc!0) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_t(Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xb!1))))) | ((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))),
% 83.74/54.33 inference(tautology,[status(thm)],[])).
% 83.74/54.33 tff(164,plain,
% 83.74/54.33 ((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0))),
% 83.74/54.33 inference(unit_resolution,[status(thm)],[163, 162])).
% 83.74/54.33 tff(165,plain,
% 83.74/54.33 (^[Xa: $i, Xb: $i, Xc: $i] : refl((~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))) <=> (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))))),
% 83.74/54.33 inference(bind,[status(th)],[])).
% 83.74/54.33 tff(166,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))) <=> ![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 83.74/54.33 inference(quant_intro,[status(thm)],[165])).
% 83.74/54.33 tff(167,plain,
% 83.74/54.33 (^[Xa: $i, Xb: $i, Xc: $i] : trans(monotonicity(rewrite((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) <=> (s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))), rewrite((s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))) <=> (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))), (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))), rewrite(((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))), (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))))),
% 83.74/54.33 inference(bind,[status(th)],[])).
% 83.74/54.33 tff(168,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 83.74/54.33 inference(quant_intro,[status(thm)],[167])).
% 83.74/54.33 tff(169,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 83.74/54.33 inference(rewrite,[status(thm)],[])).
% 83.74/54.33 tff(170,plain,
% 83.74/54.33 (^[Xa: $i, Xb: $i, Xc: $i] : trans(monotonicity(trans(monotonicity(rewrite((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)))), rewrite((s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa))) <=> ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))), (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) <=> (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))))), rewrite((((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)))), (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))))), rewrite((s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))) <=> (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))), ((((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> (((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))))), rewrite((((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))), ((((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 83.74/54.33 inference(bind,[status(th)],[])).
% 83.74/54.33 tff(171,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb)))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 83.74/54.33 inference(quant_intro,[status(thm)],[170])).
% 83.74/54.33 tff(172,axiom,(![Xa: $i, Xb: $i, Xc: $i] : (((((((~s_col(Xa, Xb, Xc)) | s_t(Xa, Xb, Xc)) | s_t(Xb, Xc, Xa)) | s_t(Xc, Xa, Xb)) & (s_col(Xa, Xb, Xc) | (~s_t(Xa, Xb, Xc)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xb, Xc, Xa)))) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d_Defn4_10')).
% 83.74/54.33 tff(173,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 83.74/54.33 inference(modus_ponens,[status(thm)],[172, 171])).
% 83.74/54.33 tff(174,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 83.74/54.33 inference(modus_ponens,[status(thm)],[173, 169])).
% 83.74/54.33 tff(175,plain,(
% 83.74/54.33 ![Xa: $i, Xb: $i, Xc: $i] : ((s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb)) & ((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc)) & ((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc)) & (s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))),
% 83.74/54.33 inference(skolemize,[status(sab)],[174])).
% 83.74/54.33 tff(176,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 83.74/54.33 inference(modus_ponens,[status(thm)],[175, 168])).
% 83.74/54.33 tff(177,plain,
% 83.74/54.33 (![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))),
% 83.74/54.33 inference(modus_ponens,[status(thm)],[176, 166])).
% 83.74/54.33 tff(178,plain,
% 83.74/54.33 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))))))),
% 83.74/54.33 inference(rewrite,[status(thm)],[])).
% 83.74/54.33 tff(179,plain,
% 83.74/54.33 ((~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))))),
% 83.74/54.33 inference(rewrite,[status(thm)],[])).
% 83.74/54.33 tff(180,plain,
% 83.74/54.33 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))))))),
% 83.74/54.34 inference(monotonicity,[status(thm)],[179])).
% 83.74/54.34 tff(181,plain,
% 83.74/54.34 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))))))),
% 83.74/54.34 inference(transitivity,[status(thm)],[180, 178])).
% 83.74/54.34 tff(182,plain,
% 83.74/54.34 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.34 inference(quant_inst,[status(thm)],[])).
% 83.74/54.34 tff(183,plain,
% 83.74/54.34 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))))),
% 83.74/54.34 inference(modus_ponens,[status(thm)],[182, 181])).
% 83.74/54.34 tff(184,plain,
% 83.74/54.34 (~((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))))),
% 83.74/54.34 inference(unit_resolution,[status(thm)],[183, 177])).
% 83.74/54.34 tff(185,plain,
% 83.74/54.34 (((~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))) | ((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))),
% 83.74/54.34 inference(tautology,[status(thm)],[])).
% 83.74/54.34 tff(186,plain,
% 83.74/54.34 ((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)),
% 83.74/54.34 inference(unit_resolution,[status(thm)],[185, 184])).
% 83.74/54.34 tff(187,plain,
% 83.74/54.34 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.34 inference(rewrite,[status(thm)],[])).
% 83.74/54.34 tff(188,plain,
% 83.74/54.34 ((~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.34 inference(rewrite,[status(thm)],[])).
% 83.74/54.34 tff(189,plain,
% 83.74/54.34 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.34 inference(monotonicity,[status(thm)],[188])).
% 83.74/54.34 tff(190,plain,
% 83.74/54.34 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.34 inference(transitivity,[status(thm)],[189, 187])).
% 83.74/54.34 tff(191,plain,
% 83.74/54.34 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.35 inference(quant_inst,[status(thm)],[])).
% 83.74/54.35 tff(192,plain,
% 83.74/54.35 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[191, 190])).
% 83.74/54.35 tff(193,plain,
% 83.74/54.35 (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[192, 92])).
% 83.74/54.35 tff(194,plain,
% 83.74/54.35 (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.35 inference(tautology,[status(thm)],[])).
% 83.74/54.35 tff(195,plain,
% 83.74/54.35 ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[194, 193])).
% 83.74/54.35 tff(196,plain,
% 83.74/54.35 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(tautology,[status(thm)],[])).
% 83.74/54.35 tff(197,plain,
% 83.74/54.35 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[196, 117])).
% 83.74/54.35 tff(198,plain,
% 83.74/54.35 (s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[197, 195])).
% 83.74/54.35 tff(199,plain,
% 83.74/54.35 ((~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)),
% 83.74/54.35 inference(tautology,[status(thm)],[])).
% 83.74/54.35 tff(200,plain,
% 83.74/54.35 ((~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[199, 198])).
% 83.74/54.35 tff(201,plain,
% 83.74/54.35 (s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[200, 186])).
% 83.74/54.35 tff(202,plain,
% 83.74/54.35 (^[Xa: $i, Xb: $i, Xc: $i] : refl(((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)) <=> ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)))),
% 83.74/54.35 inference(bind,[status(th)],[])).
% 83.74/54.35 tff(203,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 83.74/54.35 inference(quant_intro,[status(thm)],[202])).
% 83.74/54.35 tff(204,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 83.74/54.35 inference(rewrite,[status(thm)],[])).
% 83.74/54.35 tff(205,axiom,(![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz4_11e')).
% 83.74/54.35 tff(206,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[205, 204])).
% 83.74/54.35 tff(207,plain,(
% 83.74/54.35 ![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 83.74/54.35 inference(skolemize,[status(sab)],[206])).
% 83.74/54.35 tff(208,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[207, 203])).
% 83.74/54.35 tff(209,plain,
% 83.74/54.35 (((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.35 inference(rewrite,[status(thm)],[])).
% 83.74/54.35 tff(210,plain,
% 83.74/54.35 ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.35 inference(quant_inst,[status(thm)],[])).
% 83.74/54.35 tff(211,plain,
% 83.74/54.35 ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[210, 209])).
% 83.74/54.35 tff(212,plain,
% 83.74/54.35 (s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[211, 208, 201])).
% 83.74/54.35 tff(213,plain,
% 83.74/54.35 (^[Xa: $i, Xb: $i, Xc: $i] : refl(((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))))),
% 83.74/54.35 inference(bind,[status(th)],[])).
% 83.74/54.35 tff(214,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 83.74/54.35 inference(quant_intro,[status(thm)],[213])).
% 83.74/54.35 tff(215,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 83.74/54.35 inference(rewrite,[status(thm)],[])).
% 83.74/54.35 tff(216,plain,
% 83.74/54.35 (^[Xa: $i, Xb: $i, Xc: $i] : trans(monotonicity(rewrite(((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) <=> ((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))), ((((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> (((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)))), rewrite((((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))), ((((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))))),
% 83.74/54.35 inference(bind,[status(th)],[])).
% 83.74/54.35 tff(217,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : (((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 83.74/54.35 inference(quant_intro,[status(thm)],[216])).
% 83.74/54.35 tff(218,axiom,(![Xa: $i, Xb: $i, Xc: $i] : (((~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc))) | (Xa = Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz3_4')).
% 83.74/54.35 tff(219,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[218, 217])).
% 83.74/54.35 tff(220,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[219, 215])).
% 83.74/54.35 tff(221,plain,(
% 83.74/54.35 ![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 83.74/54.35 inference(skolemize,[status(sab)],[220])).
% 83.74/54.35 tff(222,plain,
% 83.74/54.35 (![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[221, 214])).
% 83.74/54.35 tff(223,plain,
% 83.74/54.35 (((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((Xc!0 = Xb!1) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (Xc!0 = Xb!1) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.35 inference(rewrite,[status(thm)],[])).
% 83.74/54.35 tff(224,plain,
% 83.74/54.35 ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((Xc!0 = Xb!1) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.35 inference(quant_inst,[status(thm)],[])).
% 83.74/54.35 tff(225,plain,
% 83.74/54.35 ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (Xc!0 = Xb!1) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[224, 223])).
% 83.74/54.35 tff(226,plain,
% 83.74/54.35 (~s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[225, 222, 35, 198])).
% 83.74/54.35 tff(227,plain,
% 83.74/54.35 (^[Xa: $i, Xp: $i, Xb: $i] : refl((s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) <=> (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)))),
% 83.74/54.35 inference(bind,[status(th)],[])).
% 83.74/54.35 tff(228,plain,
% 83.74/54.35 (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 83.74/54.35 inference(quant_intro,[status(thm)],[227])).
% 83.74/54.35 tff(229,plain,
% 83.74/54.35 (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 83.74/54.35 inference(rewrite,[status(thm)],[])).
% 83.74/54.35 tff(230,plain,
% 83.74/54.35 (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(rewrite((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) <=> ((~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))), (((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb)) <=> (((~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, Xb)))), rewrite((((~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, Xb)) <=> (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))), (((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb)) <=> (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))))),
% 83.74/54.35 inference(bind,[status(th)],[])).
% 83.74/54.35 tff(231,plain,
% 83.74/54.35 (![Xa: $i, Xp: $i, Xb: $i] : ((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 83.74/54.35 inference(quant_intro,[status(thm)],[230])).
% 83.74/54.35 tff(232,axiom,(![Xa: $i, Xp: $i, Xb: $i] : ((sameside(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb))) | s_t(Xa, Xp, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_4b')).
% 83.74/54.35 tff(233,plain,
% 83.74/54.35 (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[232, 231])).
% 83.74/54.35 tff(234,plain,
% 83.74/54.35 (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[233, 229])).
% 83.74/54.35 tff(235,plain,(
% 83.74/54.35 ![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 83.74/54.35 inference(skolemize,[status(sab)],[234])).
% 83.74/54.35 tff(236,plain,
% 83.74/54.35 (![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[235, 228])).
% 83.74/54.35 tff(237,plain,
% 83.74/54.35 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.35 inference(rewrite,[status(thm)],[])).
% 83.74/54.35 tff(238,plain,
% 83.74/54.35 ((s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) <=> (sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.35 inference(rewrite,[status(thm)],[])).
% 83.74/54.35 tff(239,plain,
% 83.74/54.35 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.74/54.35 inference(monotonicity,[status(thm)],[238])).
% 83.74/54.35 tff(240,plain,
% 83.74/54.35 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.74/54.35 inference(transitivity,[status(thm)],[239, 237])).
% 83.74/54.35 tff(241,plain,
% 83.74/54.35 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.35 inference(quant_inst,[status(thm)],[])).
% 83.74/54.35 tff(242,plain,
% 83.74/54.35 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.35 inference(modus_ponens,[status(thm)],[241, 240])).
% 83.74/54.35 tff(243,plain,
% 83.74/54.35 (sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[242, 236, 226, 212])).
% 83.74/54.35 tff(244,plain,
% 83.74/54.35 ((~((~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)))) | (~sameside(Xb!1, Xc!0, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0))),
% 83.74/54.35 inference(tautology,[status(thm)],[])).
% 83.74/54.35 tff(245,plain,
% 83.74/54.35 (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0)),
% 83.74/54.35 inference(unit_resolution,[status(thm)],[244, 243, 164])).
% 83.74/54.35 tff(246,plain,
% 83.74/54.35 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))),
% 83.74/54.36 inference(rewrite,[status(thm)],[])).
% 83.74/54.36 tff(247,plain,
% 83.74/54.36 ((~((~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)))))) <=> (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))))),
% 83.74/54.36 inference(rewrite,[status(thm)],[])).
% 83.74/54.36 tff(248,plain,
% 83.74/54.36 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))),
% 83.74/54.36 inference(monotonicity,[status(thm)],[247])).
% 83.74/54.36 tff(249,plain,
% 83.74/54.36 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))),
% 83.74/54.36 inference(transitivity,[status(thm)],[248, 246])).
% 83.74/54.36 tff(250,plain,
% 83.74/54.36 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | (~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0))))))),
% 83.74/54.36 inference(quant_inst,[status(thm)],[])).
% 83.74/54.36 tff(251,plain,
% 83.74/54.36 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))))),
% 83.74/54.36 inference(modus_ponens,[status(thm)],[250, 249])).
% 83.74/54.36 tff(252,plain,
% 83.74/54.36 (~((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))),
% 83.74/54.36 inference(unit_resolution,[status(thm)],[251, 177])).
% 83.74/54.36 tff(253,plain,
% 83.74/54.36 (((~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~(s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))) | ((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))),
% 83.74/54.36 inference(tautology,[status(thm)],[])).
% 83.74/54.36 tff(254,plain,
% 83.74/54.36 ((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)),
% 83.74/54.36 inference(unit_resolution,[status(thm)],[253, 252])).
% 83.74/54.36 tff(255,plain,
% 83.74/54.36 ((~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)),
% 83.74/54.36 inference(tautology,[status(thm)],[])).
% 83.74/54.36 tff(256,plain,
% 83.74/54.36 ((~((~s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)),
% 83.74/54.36 inference(unit_resolution,[status(thm)],[255, 198])).
% 83.74/54.36 tff(257,plain,
% 83.74/54.36 (s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)),
% 83.74/54.36 inference(unit_resolution,[status(thm)],[256, 254])).
% 83.74/54.36 tff(258,plain,
% 83.74/54.36 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.37 inference(rewrite,[status(thm)],[])).
% 83.74/54.37 tff(259,plain,
% 83.74/54.37 ((~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))) <=> (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.37 inference(rewrite,[status(thm)],[])).
% 83.74/54.37 tff(260,plain,
% 83.74/54.37 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.37 inference(monotonicity,[status(thm)],[259])).
% 83.74/54.37 tff(261,plain,
% 83.74/54.37 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.74/54.37 inference(transitivity,[status(thm)],[260, 258])).
% 83.74/54.37 tff(262,plain,
% 83.74/54.37 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 83.74/54.38 inference(quant_inst,[status(thm)],[])).
% 83.74/54.38 tff(263,plain,
% 83.74/54.38 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.38 inference(modus_ponens,[status(thm)],[262, 261])).
% 83.74/54.38 tff(264,plain,
% 83.74/54.38 (~((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[263, 177])).
% 83.74/54.38 tff(265,plain,
% 83.74/54.38 (((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.38 inference(tautology,[status(thm)],[])).
% 83.74/54.38 tff(266,plain,
% 83.74/54.38 ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[265, 264])).
% 83.74/54.38 tff(267,plain,
% 83.74/54.38 (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.74/54.38 inference(tautology,[status(thm)],[])).
% 83.74/54.38 tff(268,plain,
% 83.74/54.38 ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[267, 193])).
% 83.74/54.38 tff(269,plain,
% 83.74/54.38 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(tautology,[status(thm)],[])).
% 83.74/54.38 tff(270,plain,
% 83.74/54.38 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[269, 117])).
% 83.74/54.38 tff(271,plain,
% 83.74/54.38 (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[270, 268])).
% 83.74/54.38 tff(272,plain,
% 83.74/54.38 ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(tautology,[status(thm)],[])).
% 83.74/54.38 tff(273,plain,
% 83.74/54.38 ((~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[272, 271])).
% 83.74/54.38 tff(274,plain,
% 83.74/54.38 (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[273, 266])).
% 83.74/54.38 tff(275,plain,
% 83.74/54.38 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.74/54.38 inference(quant_inst,[status(thm)],[])).
% 83.74/54.38 tff(276,plain,
% 83.74/54.38 (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[275, 75])).
% 83.74/54.38 tff(277,plain,
% 83.74/54.38 (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.74/54.38 inference(tautology,[status(thm)],[])).
% 83.74/54.38 tff(278,plain,
% 83.74/54.38 ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[277, 276])).
% 83.74/54.38 tff(279,plain,
% 83.74/54.38 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.38 inference(tautology,[status(thm)],[])).
% 83.74/54.38 tff(280,plain,
% 83.74/54.38 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[279, 117])).
% 83.74/54.38 tff(281,plain,
% 83.74/54.38 (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)),
% 83.74/54.38 inference(unit_resolution,[status(thm)],[280, 278])).
% 83.74/54.38 tff(282,plain,
% 83.74/54.38 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.74/54.38 inference(rewrite,[status(thm)],[])).
% 83.74/54.38 tff(283,plain,
% 83.74/54.38 ((~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.74/54.38 inference(rewrite,[status(thm)],[])).
% 83.74/54.38 tff(284,plain,
% 83.74/54.38 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.74/54.39 inference(monotonicity,[status(thm)],[283])).
% 83.74/54.39 tff(285,plain,
% 83.74/54.39 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.74/54.39 inference(transitivity,[status(thm)],[284, 282])).
% 83.74/54.39 tff(286,plain,
% 83.74/54.39 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.74/54.39 inference(quant_inst,[status(thm)],[])).
% 83.74/54.39 tff(287,plain,
% 83.74/54.39 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.74/54.39 inference(modus_ponens,[status(thm)],[286, 285])).
% 83.74/54.39 tff(288,plain,
% 83.74/54.39 (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 83.74/54.39 inference(unit_resolution,[status(thm)],[287, 155])).
% 83.74/54.39 tff(289,plain,
% 83.74/54.39 (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 83.74/54.39 inference(tautology,[status(thm)],[])).
% 83.74/54.39 tff(290,plain,
% 83.74/54.39 ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.74/54.39 inference(unit_resolution,[status(thm)],[289, 288])).
% 83.74/54.39 tff(291,plain,
% 83.74/54.39 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.74/54.39 inference(tautology,[status(thm)],[])).
% 83.74/54.39 tff(292,plain,
% 83.74/54.39 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.74/54.39 inference(unit_resolution,[status(thm)],[291, 117])).
% 83.74/54.39 tff(293,plain,
% 83.74/54.39 (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 83.74/54.39 inference(unit_resolution,[status(thm)],[292, 290])).
% 83.74/54.39 tff(294,plain,
% 83.74/54.39 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : refl(((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))))),
% 83.74/54.39 inference(bind,[status(th)],[])).
% 83.74/54.39 tff(295,plain,
% 83.74/54.39 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 83.74/54.39 inference(quant_intro,[status(thm)],[294])).
% 83.74/54.39 tff(296,plain,
% 83.74/54.39 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 83.74/54.39 inference(rewrite,[status(thm)],[])).
% 83.74/54.39 tff(297,plain,
% 83.74/54.39 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xb) | (Xc = Xd)) <=> ((Xc = Xd) | (Xa = Xb))), ((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) <=> (((Xc = Xd) | (Xa = Xb)) | (~s_col(Xa, Xb, Xc))))), rewrite((((Xc = Xd) | (Xa = Xb)) | (~s_col(Xa, Xb, Xc))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)))), ((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc))))), (((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) <=> (((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))))), rewrite((((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd)))), (((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))))), ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) <=> (((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))))), rewrite((((Xc = Xd) | (Xa = Xb) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd)))), ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))))), (((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp)) <=> (((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | s_col(Xa, Xb, Xp)))), rewrite((((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | (~s_col(Xa, Xb, Xd))) | s_col(Xa, Xb, Xp)) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))), (((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp)) <=> ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))))),
% 83.74/54.39 inference(bind,[status(th)],[])).
% 83.74/54.39 tff(298,plain,
% 83.74/54.39 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 83.83/54.39 inference(quant_intro,[status(thm)],[297])).
% 83.83/54.39 tff(299,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((((((Xa = Xb) | (Xc = Xd)) | (~s_col(Xa, Xb, Xc))) | (~s_col(Xa, Xb, Xd))) | (~s_col(Xc, Xd, Xp))) | s_col(Xa, Xb, Xp))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aExtCol2')).
% 83.83/54.39 tff(300,plain,
% 83.83/54.39 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 83.83/54.39 inference(modus_ponens,[status(thm)],[299, 298])).
% 83.83/54.39 tff(301,plain,
% 83.83/54.39 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 83.83/54.39 inference(modus_ponens,[status(thm)],[300, 296])).
% 83.83/54.39 tff(302,plain,(
% 83.83/54.39 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 83.83/54.39 inference(skolemize,[status(sab)],[301])).
% 83.83/54.39 tff(303,plain,
% 83.83/54.39 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))),
% 83.83/54.39 inference(modus_ponens,[status(thm)],[302, 295])).
% 83.83/54.39 tff(304,plain,
% 83.83/54.39 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))),
% 83.83/54.39 inference(rewrite,[status(thm)],[])).
% 83.83/54.39 tff(305,plain,
% 83.83/54.39 (((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) <=> ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))),
% 83.83/54.39 inference(rewrite,[status(thm)],[])).
% 83.83/54.39 tff(306,plain,
% 83.83/54.39 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))),
% 83.83/54.39 inference(monotonicity,[status(thm)],[305])).
% 83.83/54.39 tff(307,plain,
% 83.83/54.39 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))),
% 83.83/54.39 inference(transitivity,[status(thm)],[306, 304])).
% 83.83/54.39 tff(308,plain,
% 83.83/54.39 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.39 inference(quant_inst,[status(thm)],[])).
% 83.83/54.39 tff(309,plain,
% 83.83/54.39 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | (~s_col(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 83.83/54.39 inference(modus_ponens,[status(thm)],[308, 307])).
% 83.83/54.39 tff(310,plain,
% 83.83/54.39 ((c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xc!0) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 83.83/54.39 inference(unit_resolution,[status(thm)],[309, 303, 293, 281, 274, 257])).
% 83.83/54.39 tff(311,plain,
% 83.83/54.39 (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 83.83/54.39 inference(unit_resolution,[status(thm)],[310, 245])).
% 83.83/54.39 tff(312,plain,
% 83.83/54.39 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.83/54.40 inference(rewrite,[status(thm)],[])).
% 83.83/54.40 tff(313,plain,
% 83.83/54.40 ((~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)))))) <=> (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.83/54.40 inference(rewrite,[status(thm)],[])).
% 83.83/54.40 tff(314,plain,
% 83.83/54.40 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.83/54.40 inference(monotonicity,[status(thm)],[313])).
% 83.83/54.40 tff(315,plain,
% 83.83/54.40 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))))),
% 83.83/54.40 inference(transitivity,[status(thm)],[314, 312])).
% 83.83/54.40 tff(316,plain,
% 83.83/54.40 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))) | (~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1))))))),
% 83.83/54.40 inference(quant_inst,[status(thm)],[])).
% 83.83/54.40 tff(317,plain,
% 83.83/54.40 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))))),
% 83.83/54.40 inference(modus_ponens,[status(thm)],[316, 315])).
% 83.83/54.40 tff(318,plain,
% 83.83/54.40 (~((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.83/54.40 inference(unit_resolution,[status(thm)],[317, 177])).
% 83.83/54.40 tff(319,plain,
% 83.83/54.40 (((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~(s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1) | s_t(Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | (~((~s_t(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0), Xc!0, Xb!1)) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(tautology,[status(thm)],[])).
% 83.83/54.41 tff(320,plain,
% 83.83/54.41 ((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[319, 318])).
% 83.83/54.41 tff(321,plain,
% 83.83/54.41 ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(tautology,[status(thm)],[])).
% 83.83/54.41 tff(322,plain,
% 83.83/54.41 ((~((~s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[321, 109])).
% 83.83/54.41 tff(323,plain,
% 83.83/54.41 (s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[322, 320])).
% 83.83/54.41 tff(324,plain,
% 83.83/54.41 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(rewrite,[status(thm)],[])).
% 83.83/54.41 tff(325,plain,
% 83.83/54.41 (((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))) <=> ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(rewrite,[status(thm)],[])).
% 83.83/54.41 tff(326,plain,
% 83.83/54.41 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.83/54.41 inference(monotonicity,[status(thm)],[325])).
% 83.83/54.41 tff(327,plain,
% 83.83/54.41 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(transitivity,[status(thm)],[326, 324])).
% 83.83/54.41 tff(328,plain,
% 83.83/54.41 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))),
% 83.83/54.41 inference(quant_inst,[status(thm)],[])).
% 83.83/54.41 tff(329,plain,
% 83.83/54.41 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xc!0 = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(modus_ponens,[status(thm)],[328, 327])).
% 83.83/54.41 tff(330,plain,
% 83.83/54.41 ((~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[329, 303, 35, 293, 281, 323])).
% 83.83/54.41 tff(331,plain,
% 83.83/54.41 (s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[330, 311])).
% 83.83/54.41 tff(332,plain,
% 83.83/54.41 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(rewrite,[status(thm)],[])).
% 83.83/54.41 tff(333,plain,
% 83.83/54.41 ((s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) <=> (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(rewrite,[status(thm)],[])).
% 83.83/54.41 tff(334,plain,
% 83.83/54.41 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))),
% 83.83/54.41 inference(monotonicity,[status(thm)],[333])).
% 83.83/54.41 tff(335,plain,
% 83.83/54.41 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(transitivity,[status(thm)],[334, 332])).
% 83.83/54.41 tff(336,plain,
% 83.83/54.41 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(quant_inst,[status(thm)],[])).
% 83.83/54.41 tff(337,plain,
% 83.83/54.41 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~s_col(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(modus_ponens,[status(thm)],[336, 335])).
% 83.83/54.41 tff(338,plain,
% 83.83/54.41 (s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[337, 236, 331, 142])).
% 83.83/54.41 tff(339,plain,
% 83.83/54.41 (s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) <=> s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(monotonicity,[status(thm)],[62])).
% 83.83/54.41 tff(340,plain,
% 83.83/54.41 (s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) <=> s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(symmetry,[status(thm)],[339])).
% 83.83/54.41 tff(341,plain,
% 83.83/54.41 (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))),
% 83.83/54.41 inference(tautology,[status(thm)],[])).
% 83.83/54.41 tff(342,plain,
% 83.83/54.41 ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[341, 99])).
% 83.83/54.41 tff(343,plain,
% 83.83/54.41 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(tautology,[status(thm)],[])).
% 83.83/54.41 tff(344,plain,
% 83.83/54.41 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[343, 106])).
% 83.83/54.41 tff(345,plain,
% 83.83/54.41 (s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(unit_resolution,[status(thm)],[344, 342])).
% 83.83/54.41 tff(346,plain,
% 83.83/54.41 (s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))),
% 83.83/54.41 inference(modus_ponens,[status(thm)],[345, 340])).
% 83.83/54.41 tff(347,plain,
% 83.83/54.41 ((s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) <=> (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 83.83/54.41 inference(monotonicity,[status(thm)],[62])).
% 83.83/54.41 tff(348,plain,
% 83.83/54.41 ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 83.83/54.41 inference(symmetry,[status(thm)],[347])).
% 83.83/54.42 tff(349,plain,
% 83.83/54.42 ((~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 83.83/54.42 inference(monotonicity,[status(thm)],[348])).
% 83.83/54.42 tff(350,plain,
% 83.83/54.42 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.83/54.42 inference(rewrite,[status(thm)],[])).
% 83.83/54.42 tff(351,plain,
% 83.83/54.42 ((~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) <=> (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.83/54.42 inference(rewrite,[status(thm)],[])).
% 83.83/54.42 tff(352,plain,
% 83.83/54.42 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.83/54.42 inference(monotonicity,[status(thm)],[351])).
% 83.83/54.42 tff(353,plain,
% 83.83/54.42 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.83/54.42 inference(transitivity,[status(thm)],[352, 350])).
% 83.83/54.42 tff(354,plain,
% 83.83/54.42 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(Xc!0 = Xb!1)))) | (~(s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1))) | (~((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))))),
% 83.83/54.42 inference(quant_inst,[status(thm)],[])).
% 83.83/54.42 tff(355,plain,
% 83.83/54.42 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.83/54.42 inference(modus_ponens,[status(thm)],[354, 353])).
% 83.83/54.42 tff(356,plain,
% 83.83/54.42 (~((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 83.83/54.43 inference(unit_resolution,[status(thm)],[355, 155])).
% 83.83/54.43 tff(357,plain,
% 83.83/54.43 (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0))) | (~(sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (xb = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xc!0)))) | (~((Xc!0 = Xb!1) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xc!0, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 83.83/54.43 inference(tautology,[status(thm)],[])).
% 83.83/54.43 tff(358,plain,
% 83.83/54.43 ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.83/54.43 inference(unit_resolution,[status(thm)],[357, 356])).
% 83.83/54.43 tff(359,plain,
% 83.83/54.43 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.83/54.43 inference(tautology,[status(thm)],[])).
% 83.83/54.43 tff(360,plain,
% 83.83/54.43 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.83/54.43 inference(unit_resolution,[status(thm)],[359, 106])).
% 83.83/54.43 tff(361,plain,
% 83.83/54.43 (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 83.83/54.43 inference(unit_resolution,[status(thm)],[360, 358])).
% 83.83/54.43 tff(362,plain,
% 83.83/54.43 (~(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 83.83/54.43 inference(modus_ponens,[status(thm)],[361, 349])).
% 83.83/54.43 tff(363,plain,
% 83.83/54.43 (((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))),
% 83.83/54.43 inference(tautology,[status(thm)],[])).
% 83.83/54.43 tff(364,plain,
% 83.83/54.43 ((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 83.83/54.43 inference(unit_resolution,[status(thm)],[363, 99])).
% 83.83/54.43 tff(365,plain,
% 83.83/54.43 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 83.83/54.43 inference(tautology,[status(thm)],[])).
% 83.83/54.43 tff(366,plain,
% 83.83/54.43 ((~((~sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 83.83/54.43 inference(unit_resolution,[status(thm)],[365, 106])).
% 83.83/54.43 tff(367,plain,
% 83.83/54.43 (~(c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)),
% 83.83/54.43 inference(unit_resolution,[status(thm)],[366, 364])).
% 83.83/54.43 tff(368,plain,
% 83.83/54.43 (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : refl(((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)))),
% 83.83/54.43 inference(bind,[status(th)],[])).
% 83.83/54.43 tff(369,plain,
% 83.83/54.43 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 83.83/54.43 inference(quant_intro,[status(thm)],[368])).
% 83.83/54.43 tff(370,plain,
% 83.83/54.43 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 83.83/54.43 inference(rewrite,[status(thm)],[])).
% 83.83/54.43 tff(371,plain,
% 83.83/54.43 (^[Xa: $i, Xp: $i, Xb: $i, Xc: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xa = Xp) | (Xb = Xp)) <=> ((Xa = Xp) | (Xb = Xp))), ((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) <=> (((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)))), rewrite((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) <=> ((Xa = Xp) | (Xc = Xp) | (Xb = Xp))), ((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) <=> ((Xa = Xp) | (Xc = Xp) | (Xb = Xp)))), (((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) <=> (((Xa = Xp) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xa, Xp, Xc))))), rewrite((((Xa = Xp) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xa, Xp, Xc))) <=> ((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp))), (((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) <=> ((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)))), ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) <=> (((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xb, Xp, Xc))))), rewrite((((Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | (~s_t(Xb, Xp, Xc))) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp))), ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)))), (((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb)) <=> (((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | (Xc = Xp) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))), (((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb)) <=> ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))))),
% 83.83/54.43 inference(bind,[status(th)],[])).
% 83.83/54.43 tff(372,plain,
% 83.83/54.43 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 83.83/54.43 inference(quant_intro,[status(thm)],[371])).
% 83.83/54.43 tff(373,axiom,(![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((((((Xa = Xp) | (Xb = Xp)) | (Xc = Xp)) | (~s_t(Xa, Xp, Xc))) | (~s_t(Xb, Xp, Xc))) | sameside(Xa, Xp, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_2a')).
% 83.83/54.43 tff(374,plain,
% 83.83/54.43 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 83.83/54.43 inference(modus_ponens,[status(thm)],[373, 372])).
% 83.83/54.43 tff(375,plain,
% 83.83/54.43 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 83.83/54.43 inference(modus_ponens,[status(thm)],[374, 370])).
% 83.83/54.43 tff(376,plain,(
% 83.83/54.43 ![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 83.83/54.43 inference(skolemize,[status(sab)],[375])).
% 83.83/54.43 tff(377,plain,
% 83.83/54.43 (![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))),
% 83.83/54.43 inference(modus_ponens,[status(thm)],[376, 369])).
% 83.83/54.43 tff(378,plain,
% 83.83/54.43 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.43 inference(rewrite,[status(thm)],[])).
% 83.83/54.43 tff(379,plain,
% 83.83/54.43 (((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.43 inference(rewrite,[status(thm)],[])).
% 83.83/54.43 tff(380,plain,
% 83.83/54.43 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 83.83/54.43 inference(monotonicity,[status(thm)],[379])).
% 83.83/54.43 tff(381,plain,
% 83.83/54.43 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.44 inference(transitivity,[status(thm)],[380, 378])).
% 83.83/54.44 tff(382,plain,
% 83.83/54.44 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 83.83/54.44 inference(quant_inst,[status(thm)],[])).
% 83.83/54.44 tff(383,plain,
% 83.83/54.44 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.44 inference(modus_ponens,[status(thm)],[382, 381])).
% 83.83/54.44 tff(384,plain,
% 83.83/54.44 (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.44 inference(unit_resolution,[status(thm)],[383, 377, 293, 367, 362, 346, 338])).
% 83.83/54.44 tff(385,plain,
% 83.83/54.44 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.83/54.44 inference(rewrite,[status(thm)],[])).
% 83.83/54.44 tff(386,plain,
% 83.83/54.44 ((~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.83/54.44 inference(rewrite,[status(thm)],[])).
% 83.83/54.44 tff(387,plain,
% 83.83/54.44 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.83/54.44 inference(monotonicity,[status(thm)],[386])).
% 83.83/54.44 tff(388,plain,
% 83.83/54.44 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.83/54.44 inference(transitivity,[status(thm)],[387, 385])).
% 83.83/54.44 tff(389,plain,
% 83.83/54.44 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 83.83/54.44 inference(quant_inst,[status(thm)],[])).
% 83.83/54.44 tff(390,plain,
% 83.83/54.44 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.83/54.45 inference(modus_ponens,[status(thm)],[389, 388])).
% 83.83/54.45 tff(391,plain,
% 83.83/54.45 (~((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[390, 155])).
% 83.83/54.45 tff(392,plain,
% 83.83/54.45 (((~((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((xb = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.45 inference(tautology,[status(thm)],[])).
% 83.83/54.45 tff(393,plain,
% 83.83/54.45 ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[392, 391])).
% 83.83/54.45 tff(394,plain,
% 83.83/54.45 (((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xc!0 = Xb!1)) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)))) | (~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | s_t(Xc!0, Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))))) | ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))),
% 83.83/54.45 inference(tautology,[status(thm)],[])).
% 83.83/54.45 tff(395,plain,
% 83.83/54.45 ((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[394, 193])).
% 83.83/54.45 tff(396,plain,
% 83.83/54.45 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 83.83/54.45 inference(tautology,[status(thm)],[])).
% 83.83/54.45 tff(397,plain,
% 83.83/54.45 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0)) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)))) | (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[396, 117])).
% 83.83/54.45 tff(398,plain,
% 83.83/54.45 (~(c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1)),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[397, 395])).
% 83.83/54.45 tff(399,plain,
% 83.83/54.45 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.45 inference(rewrite,[status(thm)],[])).
% 83.83/54.45 tff(400,plain,
% 83.83/54.45 (((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.45 inference(rewrite,[status(thm)],[])).
% 83.83/54.45 tff(401,plain,
% 83.83/54.45 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.45 inference(monotonicity,[status(thm)],[400])).
% 83.83/54.45 tff(402,plain,
% 83.83/54.45 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.45 inference(transitivity,[status(thm)],[401, 399])).
% 83.83/54.45 tff(403,plain,
% 83.83/54.45 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.83/54.45 inference(quant_inst,[status(thm)],[])).
% 83.83/54.45 tff(404,plain,
% 83.83/54.45 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(modus_ponens,[status(thm)],[403, 402])).
% 83.83/54.45 tff(405,plain,
% 83.83/54.45 (sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[404, 377, 293, 398, 271])).
% 83.83/54.45 tff(406,plain,
% 83.83/54.45 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(tautology,[status(thm)],[])).
% 83.83/54.45 tff(407,plain,
% 83.83/54.45 ((~((~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[406, 405])).
% 83.83/54.45 tff(408,plain,
% 83.83/54.45 (s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[407, 393])).
% 83.83/54.45 tff(409,plain,
% 83.83/54.45 (^[Xa: $i, Xp: $i, Xb: $i] : refl(((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) <=> ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)))),
% 83.83/54.45 inference(bind,[status(th)],[])).
% 83.83/54.45 tff(410,plain,
% 83.83/54.45 (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 83.83/54.45 inference(quant_intro,[status(thm)],[409])).
% 83.83/54.45 tff(411,plain,
% 83.83/54.45 (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 83.83/54.45 inference(rewrite,[status(thm)],[])).
% 83.83/54.45 tff(412,plain,
% 83.83/54.45 (^[Xa: $i, Xp: $i, Xb: $i] : rewrite((((~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) | (~s_t(Xp, Xa, Xb))) <=> ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)))),
% 83.83/54.45 inference(bind,[status(th)],[])).
% 83.83/54.45 tff(413,plain,
% 83.83/54.45 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) | (~s_t(Xp, Xa, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 83.83/54.45 inference(quant_intro,[status(thm)],[412])).
% 83.83/54.45 tff(414,axiom,(![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb)) | (~s_t(Xp, Xa, Xb)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_13b')).
% 83.83/54.45 tff(415,plain,
% 83.83/54.45 (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 83.83/54.45 inference(modus_ponens,[status(thm)],[414, 413])).
% 83.83/54.45 tff(416,plain,
% 83.83/54.45 (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 83.83/54.45 inference(modus_ponens,[status(thm)],[415, 411])).
% 83.83/54.45 tff(417,plain,(
% 83.83/54.45 ![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 83.83/54.45 inference(skolemize,[status(sab)],[416])).
% 83.83/54.45 tff(418,plain,
% 83.83/54.45 (![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))),
% 83.83/54.45 inference(modus_ponens,[status(thm)],[417, 410])).
% 83.83/54.45 tff(419,plain,
% 83.83/54.45 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.45 inference(rewrite,[status(thm)],[])).
% 83.83/54.45 tff(420,plain,
% 83.83/54.45 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.45 inference(quant_inst,[status(thm)],[])).
% 83.83/54.45 tff(421,plain,
% 83.83/54.45 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(modus_ponens,[status(thm)],[420, 419])).
% 83.83/54.45 tff(422,plain,
% 83.83/54.45 ((~s_t(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[421, 418, 405])).
% 83.83/54.45 tff(423,plain,
% 83.83/54.45 (le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.45 inference(unit_resolution,[status(thm)],[422, 408])).
% 83.83/54.45 tff(424,plain,
% 83.83/54.45 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i] : refl((s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))))),
% 83.83/54.45 inference(bind,[status(th)],[])).
% 83.83/54.45 tff(425,plain,
% 83.83/54.45 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(quant_intro,[status(thm)],[424])).
% 83.83/54.46 tff(426,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(rewrite,[status(thm)],[])).
% 83.83/54.46 tff(427,plain,
% 83.83/54.46 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i] : trans(monotonicity(rewrite(((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) <=> ((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))), ((((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> (((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)))), rewrite((((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))), ((((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))))),
% 83.83/54.46 inference(bind,[status(th)],[])).
% 83.83/54.46 tff(428,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(quant_intro,[status(thm)],[427])).
% 83.83/54.46 tff(429,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (((~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb))) | s_e(Xa, Xb, Xc, Xd))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz5_9')).
% 83.83/54.46 tff(430,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[429, 428])).
% 83.83/54.46 tff(431,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[430, 426])).
% 83.83/54.46 tff(432,plain,(
% 83.83/54.46 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(skolemize,[status(sab)],[431])).
% 83.83/54.46 tff(433,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[432, 425])).
% 83.83/54.46 tff(434,plain,
% 83.83/54.46 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(rewrite,[status(thm)],[])).
% 83.83/54.46 tff(435,plain,
% 83.83/54.46 ((s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(rewrite,[status(thm)],[])).
% 83.83/54.46 tff(436,plain,
% 83.83/54.46 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.46 inference(monotonicity,[status(thm)],[435])).
% 83.83/54.46 tff(437,plain,
% 83.83/54.46 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(transitivity,[status(thm)],[436, 434])).
% 83.83/54.46 tff(438,plain,
% 83.83/54.46 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.46 inference(quant_inst,[status(thm)],[])).
% 83.83/54.46 tff(439,plain,
% 83.83/54.46 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[438, 437])).
% 83.83/54.46 tff(440,plain,
% 83.83/54.46 (s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.46 inference(unit_resolution,[status(thm)],[439, 433, 423])).
% 83.83/54.46 tff(441,plain,
% 83.83/54.46 (sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) <=> sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.46 inference(monotonicity,[status(thm)],[62, 62])).
% 83.83/54.46 tff(442,plain,
% 83.83/54.46 (sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(symmetry,[status(thm)],[441])).
% 83.83/54.46 tff(443,plain,
% 83.83/54.46 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(rewrite,[status(thm)],[])).
% 83.83/54.46 tff(444,plain,
% 83.83/54.46 (((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(rewrite,[status(thm)],[])).
% 83.83/54.46 tff(445,plain,
% 83.83/54.46 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.46 inference(monotonicity,[status(thm)],[444])).
% 83.83/54.46 tff(446,plain,
% 83.83/54.46 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(transitivity,[status(thm)],[445, 443])).
% 83.83/54.46 tff(447,plain,
% 83.83/54.46 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.83/54.46 inference(quant_inst,[status(thm)],[])).
% 83.83/54.46 tff(448,plain,
% 83.83/54.46 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0) = Xb!1) | (~s_t(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[447, 446])).
% 83.83/54.46 tff(449,plain,
% 83.83/54.46 (sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.46 inference(unit_resolution,[status(thm)],[448, 377, 361, 367, 345])).
% 83.83/54.46 tff(450,plain,
% 83.83/54.46 (sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[449, 442])).
% 83.83/54.46 tff(451,plain,
% 83.83/54.46 (s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.46 inference(monotonicity,[status(thm)],[62])).
% 83.83/54.46 tff(452,plain,
% 83.83/54.46 (s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.46 inference(symmetry,[status(thm)],[451])).
% 83.83/54.46 tff(453,plain,
% 83.83/54.46 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i] : refl(((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)) <=> ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)))),
% 83.83/54.46 inference(bind,[status(th)],[])).
% 83.83/54.46 tff(454,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 83.83/54.46 inference(quant_intro,[status(thm)],[453])).
% 83.83/54.46 tff(455,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 83.83/54.46 inference(rewrite,[status(thm)],[])).
% 83.83/54.46 tff(456,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz2_2')).
% 83.83/54.46 tff(457,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[456, 455])).
% 83.83/54.46 tff(458,plain,(
% 83.83/54.46 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 83.83/54.46 inference(skolemize,[status(sab)],[457])).
% 83.83/54.46 tff(459,plain,
% 83.83/54.46 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 83.83/54.46 inference(modus_ponens,[status(thm)],[458, 454])).
% 83.83/54.46 tff(460,plain,
% 83.83/54.46 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.46 inference(rewrite,[status(thm)],[])).
% 83.83/54.46 tff(461,plain,
% 83.83/54.46 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.47 inference(quant_inst,[status(thm)],[])).
% 83.83/54.47 tff(462,plain,
% 83.83/54.47 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.47 inference(modus_ponens,[status(thm)],[461, 460])).
% 83.83/54.47 tff(463,plain,
% 83.83/54.47 (s_e(Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.47 inference(unit_resolution,[status(thm)],[462, 459, 39])).
% 83.83/54.47 tff(464,plain,
% 83.83/54.47 (s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.47 inference(modus_ponens,[status(thm)],[463, 452])).
% 83.83/54.47 tff(465,plain,
% 83.83/54.47 ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 83.83/54.47 inference(commutativity,[status(thm)],[])).
% 83.83/54.47 tff(466,plain,
% 83.83/54.47 ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.47 inference(symmetry,[status(thm)],[465])).
% 83.83/54.47 tff(467,plain,
% 83.83/54.47 ((~(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.47 inference(monotonicity,[status(thm)],[466])).
% 83.83/54.47 tff(468,plain,
% 83.83/54.47 (~(Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.47 inference(modus_ponens,[status(thm)],[293, 467])).
% 83.83/54.47 tff(469,plain,
% 83.83/54.47 (^[Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : refl(((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) <=> ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))),
% 83.83/54.47 inference(bind,[status(th)],[])).
% 83.83/54.47 tff(470,plain,
% 83.83/54.47 (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) <=> ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 83.83/54.47 inference(quant_intro,[status(thm)],[469])).
% 83.83/54.47 tff(471,plain,
% 83.83/54.47 (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) <=> ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 83.83/54.47 inference(rewrite,[status(thm)],[])).
% 83.83/54.47 tff(472,plain,
% 83.83/54.47 (^[Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((Xr = Xa) | (Xb = Xc)) <=> ((Xb = Xc) | (Xr = Xa))), ((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) <=> (((Xb = Xc) | (Xr = Xa)) | (~sameside(Xp, Xa, Xr))))), rewrite((((Xb = Xc) | (Xr = Xa)) | (~sameside(Xp, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), ((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), (((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) <=> (((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xp, Xb, Xc))))), rewrite((((Xb = Xc) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xp, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), (((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), ((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) <=> (((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~sameside(Xq, Xa, Xr))))), rewrite((((Xb = Xc) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~sameside(Xq, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), ((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) <=> ((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) <=> (((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xq, Xb, Xc))))), rewrite((((Xb = Xc) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (~s_e(Xa, Xq, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) <=> ((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)))), ((((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq)) <=> (((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (Xp = Xq)))), rewrite((((Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa)) | (Xp = Xq)) <=> ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))), ((((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq)) <=> ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))))),
% 83.83/54.47 inference(bind,[status(th)],[])).
% 83.83/54.47 tff(473,plain,
% 83.83/54.47 (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq)) <=> ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 83.83/54.47 inference(quant_intro,[status(thm)],[472])).
% 83.83/54.47 tff(474,axiom,(![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : (((((((Xr = Xa) | (Xb = Xc)) | (~sameside(Xp, Xa, Xr))) | (~s_e(Xa, Xp, Xb, Xc))) | (~sameside(Xq, Xa, Xr))) | (~s_e(Xa, Xq, Xb, Xc))) | (Xp = Xq))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz6_11b')).
% 83.83/54.47 tff(475,plain,
% 83.83/54.47 (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 83.83/54.47 inference(modus_ponens,[status(thm)],[474, 473])).
% 83.83/54.47 tff(476,plain,
% 83.83/54.47 (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 83.83/54.47 inference(modus_ponens,[status(thm)],[475, 471])).
% 83.83/54.47 tff(477,plain,(
% 83.83/54.47 ![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 83.83/54.47 inference(skolemize,[status(sab)],[476])).
% 83.83/54.47 tff(478,plain,
% 83.83/54.47 (![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))),
% 83.83/54.47 inference(modus_ponens,[status(thm)],[477, 470])).
% 83.83/54.47 tff(479,plain,
% 83.83/54.47 (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 83.83/54.47 inference(rewrite,[status(thm)],[])).
% 83.83/54.47 tff(480,plain,
% 83.83/54.47 (((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 83.83/54.47 inference(rewrite,[status(thm)],[])).
% 83.83/54.47 tff(481,plain,
% 83.83/54.47 (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 83.83/54.47 inference(monotonicity,[status(thm)],[480])).
% 83.83/54.47 tff(482,plain,
% 83.83/54.47 (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 83.83/54.47 inference(transitivity,[status(thm)],[481, 479])).
% 83.83/54.47 tff(483,plain,
% 83.83/54.47 ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 83.83/54.48 inference(quant_inst,[status(thm)],[])).
% 83.83/54.48 tff(484,plain,
% 83.83/54.48 ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.48 inference(modus_ponens,[status(thm)],[483, 482])).
% 83.83/54.48 tff(485,plain,
% 83.83/54.48 (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[484, 478, 468, 362, 464, 450, 440, 384])).
% 83.83/54.48 tff(486,plain,
% 83.83/54.48 (f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 83.83/54.48 inference(transitivity,[status(thm)],[485, 62])).
% 83.83/54.48 tff(487,plain,
% 83.83/54.48 (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.48 inference(tautology,[status(thm)],[])).
% 83.83/54.48 tff(488,plain,
% 83.83/54.48 ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[487, 20])).
% 83.83/54.48 tff(489,plain,
% 83.83/54.48 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(tautology,[status(thm)],[])).
% 83.83/54.48 tff(490,plain,
% 83.83/54.48 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[489, 36, 35, 34])).
% 83.83/54.48 tff(491,plain,
% 83.83/54.48 (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[490, 488])).
% 83.83/54.48 tff(492,plain,
% 83.83/54.48 (((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.48 inference(rewrite,[status(thm)],[])).
% 83.83/54.48 tff(493,plain,
% 83.83/54.48 ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.48 inference(quant_inst,[status(thm)],[])).
% 83.83/54.48 tff(494,plain,
% 83.83/54.48 ((~![Xc: $i, Xa: $i, Xb: $i] : ((~s_e(Xc, Xa, Xc, Xb)) | s_m(Xa, isomidpoint(Xa, Xb, Xc), Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(modus_ponens,[status(thm)],[493, 492])).
% 83.83/54.48 tff(495,plain,
% 83.83/54.48 (s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[494, 46, 491])).
% 83.83/54.48 tff(496,plain,
% 83.83/54.48 (((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.48 inference(rewrite,[status(thm)],[])).
% 83.83/54.48 tff(497,plain,
% 83.83/54.48 ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | ((~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 83.83/54.48 inference(quant_inst,[status(thm)],[])).
% 83.83/54.48 tff(498,plain,
% 83.83/54.48 ((~![Xp: $i, Xa: $i, Xq: $i] : ((~s_m(Xp, Xa, Xq)) | (Xq = s(Xa, Xp)))) | (~s_m(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.48 inference(modus_ponens,[status(thm)],[497, 496])).
% 83.83/54.48 tff(499,plain,
% 83.83/54.48 (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[498, 57, 495])).
% 83.83/54.48 tff(500,plain,
% 83.83/54.48 (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 83.83/54.48 inference(symmetry,[status(thm)],[499])).
% 83.83/54.48 tff(501,plain,
% 83.83/54.48 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.83/54.48 inference(quant_inst,[status(thm)],[])).
% 83.83/54.48 tff(502,plain,
% 83.83/54.48 (~((~((~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[501, 75])).
% 83.83/54.48 tff(503,plain,
% 83.83/54.48 (((~((~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) | ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.83/54.48 inference(tautology,[status(thm)],[])).
% 83.83/54.48 tff(504,plain,
% 83.83/54.48 ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.83/54.48 inference(unit_resolution,[status(thm)],[503, 502])).
% 83.83/54.49 tff(505,plain,
% 83.83/54.49 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.83/54.49 inference(rewrite,[status(thm)],[])).
% 83.83/54.49 tff(506,plain,
% 83.83/54.49 ((~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.83/54.49 inference(rewrite,[status(thm)],[])).
% 83.83/54.49 tff(507,plain,
% 83.83/54.49 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.83/54.49 inference(monotonicity,[status(thm)],[506])).
% 83.83/54.49 tff(508,plain,
% 83.83/54.49 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.83/54.49 inference(transitivity,[status(thm)],[507, 505])).
% 83.83/54.49 tff(509,plain,
% 83.83/54.49 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.83/54.49 inference(quant_inst,[status(thm)],[])).
% 83.83/54.49 tff(510,plain,
% 83.83/54.49 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.83/54.49 inference(modus_ponens,[status(thm)],[509, 508])).
% 83.83/54.49 tff(511,plain,
% 83.83/54.49 (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[510, 92])).
% 83.83/54.49 tff(512,plain,
% 83.83/54.49 (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.83/54.49 inference(tautology,[status(thm)],[])).
% 83.83/54.49 tff(513,plain,
% 83.83/54.49 ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[512, 511])).
% 83.83/54.49 tff(514,plain,
% 83.83/54.49 (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.49 inference(tautology,[status(thm)],[])).
% 83.83/54.49 tff(515,plain,
% 83.83/54.49 ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[514, 20])).
% 83.83/54.49 tff(516,plain,
% 83.83/54.49 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.49 inference(tautology,[status(thm)],[])).
% 83.83/54.49 tff(517,plain,
% 83.83/54.49 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[516, 36, 35, 34])).
% 83.83/54.49 tff(518,plain,
% 83.83/54.49 (sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[517, 515])).
% 83.83/54.49 tff(519,plain,
% 83.83/54.49 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.49 inference(tautology,[status(thm)],[])).
% 83.83/54.49 tff(520,plain,
% 83.83/54.49 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[519, 518])).
% 83.83/54.49 tff(521,plain,
% 83.83/54.49 (s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[520, 513])).
% 83.83/54.49 tff(522,plain,
% 83.83/54.49 ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.83/54.49 inference(tautology,[status(thm)],[])).
% 83.83/54.49 tff(523,plain,
% 83.83/54.49 ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[522, 521])).
% 83.83/54.49 tff(524,plain,
% 83.83/54.49 (~sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.49 inference(unit_resolution,[status(thm)],[523, 504])).
% 83.83/54.49 tff(525,plain,
% 83.83/54.49 (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.50 inference(tautology,[status(thm)],[])).
% 83.83/54.50 tff(526,plain,
% 83.83/54.50 ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.50 inference(unit_resolution,[status(thm)],[525, 20])).
% 83.83/54.50 tff(527,plain,
% 83.83/54.50 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.50 inference(tautology,[status(thm)],[])).
% 83.83/54.50 tff(528,plain,
% 83.83/54.50 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.50 inference(unit_resolution,[status(thm)],[527, 36, 35, 34])).
% 83.83/54.50 tff(529,plain,
% 83.83/54.50 (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.83/54.50 inference(unit_resolution,[status(thm)],[528, 526])).
% 83.83/54.50 tff(530,plain,
% 83.83/54.50 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.50 inference(rewrite,[status(thm)],[])).
% 83.83/54.50 tff(531,plain,
% 83.83/54.50 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 83.83/54.50 inference(quant_inst,[status(thm)],[])).
% 83.83/54.50 tff(532,plain,
% 83.83/54.50 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xb, Xp, Xa))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.50 inference(modus_ponens,[status(thm)],[531, 530])).
% 83.83/54.50 tff(533,plain,
% 83.83/54.50 (sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 83.83/54.50 inference(unit_resolution,[status(thm)],[532, 124, 529])).
% 83.83/54.50 tff(534,plain,
% 83.83/54.50 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.83/54.50 inference(rewrite,[status(thm)],[])).
% 83.83/54.50 tff(535,plain,
% 83.83/54.50 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | ((~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.83/54.50 inference(quant_inst,[status(thm)],[])).
% 83.83/54.50 tff(536,plain,
% 83.83/54.50 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~sameside(Xa, Xp, Xb)) | sameside(Xa, Xp, Xc) | (~sameside(Xb, Xp, Xc)))) | (~sameside(Xa!2, Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.83/54.50 inference(modus_ponens,[status(thm)],[535, 534])).
% 83.83/54.50 tff(537,plain,
% 83.83/54.50 (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.83/54.50 inference(unit_resolution,[status(thm)],[536, 138, 533, 524])).
% 83.83/54.50 tff(538,plain,
% 83.83/54.50 (((~![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(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))))),
% 83.83/54.50 inference(rewrite,[status(thm)],[])).
% 83.83/54.50 tff(539,plain,
% 83.83/54.50 ((~((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = Xa!2))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> (~((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))))),
% 83.83/54.50 inference(rewrite,[status(thm)],[])).
% 83.83/54.50 tff(540,plain,
% 83.83/54.50 (((~![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(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = Xa!2))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))))),
% 83.83/54.51 inference(monotonicity,[status(thm)],[539])).
% 83.83/54.51 tff(541,plain,
% 83.83/54.51 (((~![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(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = Xa!2))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))))),
% 83.83/54.51 inference(transitivity,[status(thm)],[540, 538])).
% 83.83/54.51 tff(542,plain,
% 83.83/54.51 ((~![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(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (xb = Xa!2))) | (~((Xb!1 = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.94/54.51 inference(quant_inst,[status(thm)],[])).
% 83.94/54.51 tff(543,plain,
% 83.94/54.51 ((~![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(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))))),
% 83.94/54.51 inference(modus_ponens,[status(thm)],[542, 541])).
% 83.94/54.51 tff(544,plain,
% 83.94/54.51 (~((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1)))))),
% 83.94/54.51 inference(unit_resolution,[status(thm)],[543, 155])).
% 83.94/54.51 tff(545,plain,
% 83.94/54.51 (((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(Xb!1 = Xa!2)))) | (~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (xb = Xa!2))) | (~(sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (Xb!1 = Xa!2) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_t(Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xb!1))))) | ((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))),
% 83.95/54.51 inference(tautology,[status(thm)],[])).
% 83.95/54.51 tff(546,plain,
% 83.95/54.51 ((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2))),
% 83.95/54.51 inference(unit_resolution,[status(thm)],[545, 544])).
% 83.95/54.51 tff(547,plain,
% 83.95/54.51 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))))))),
% 83.95/54.51 inference(rewrite,[status(thm)],[])).
% 83.95/54.51 tff(548,plain,
% 83.95/54.51 ((~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))))),
% 83.95/54.52 inference(rewrite,[status(thm)],[])).
% 83.95/54.52 tff(549,plain,
% 83.95/54.52 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))))))),
% 83.95/54.52 inference(monotonicity,[status(thm)],[548])).
% 83.95/54.52 tff(550,plain,
% 83.95/54.52 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))))))),
% 83.96/54.52 inference(transitivity,[status(thm)],[549, 547])).
% 83.96/54.52 tff(551,plain,
% 83.96/54.52 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.52 inference(quant_inst,[status(thm)],[])).
% 83.96/54.52 tff(552,plain,
% 83.96/54.52 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))))),
% 83.96/54.52 inference(modus_ponens,[status(thm)],[551, 550])).
% 83.96/54.52 tff(553,plain,
% 83.96/54.52 (~((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))))),
% 83.96/54.52 inference(unit_resolution,[status(thm)],[552, 177])).
% 83.96/54.52 tff(554,plain,
% 83.96/54.52 (((~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))) | ((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))),
% 83.96/54.52 inference(tautology,[status(thm)],[])).
% 83.96/54.52 tff(555,plain,
% 83.96/54.52 ((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)),
% 83.96/54.52 inference(unit_resolution,[status(thm)],[554, 553])).
% 83.96/54.52 tff(556,plain,
% 83.96/54.52 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.52 inference(rewrite,[status(thm)],[])).
% 83.96/54.52 tff(557,plain,
% 83.96/54.52 ((~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.52 inference(rewrite,[status(thm)],[])).
% 83.96/54.52 tff(558,plain,
% 83.96/54.52 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.52 inference(monotonicity,[status(thm)],[557])).
% 83.96/54.52 tff(559,plain,
% 83.96/54.52 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.53 inference(transitivity,[status(thm)],[558, 556])).
% 83.96/54.53 tff(560,plain,
% 83.96/54.53 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.53 inference(quant_inst,[status(thm)],[])).
% 83.96/54.53 tff(561,plain,
% 83.96/54.53 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(c63(Xa, Xp, Xb) = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xa, Xp, c63(Xa, Xp, Xb)))) | (~((~sameside(Xa, Xp, Xb)) | s_t(Xb, Xp, c63(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.53 inference(modus_ponens,[status(thm)],[560, 559])).
% 83.96/54.53 tff(562,plain,
% 83.96/54.53 (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[561, 92])).
% 83.96/54.53 tff(563,plain,
% 83.96/54.53 (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.53 inference(tautology,[status(thm)],[])).
% 83.96/54.53 tff(564,plain,
% 83.96/54.53 ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[563, 562])).
% 83.96/54.53 tff(565,plain,
% 83.96/54.53 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(tautology,[status(thm)],[])).
% 83.96/54.53 tff(566,plain,
% 83.96/54.53 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[565, 529])).
% 83.96/54.53 tff(567,plain,
% 83.96/54.53 (s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[566, 564])).
% 83.96/54.53 tff(568,plain,
% 83.96/54.53 ((~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)),
% 83.96/54.53 inference(tautology,[status(thm)],[])).
% 83.96/54.53 tff(569,plain,
% 83.96/54.53 ((~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[568, 567])).
% 83.96/54.53 tff(570,plain,
% 83.96/54.53 (s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[569, 555])).
% 83.96/54.53 tff(571,plain,
% 83.96/54.53 (((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.53 inference(rewrite,[status(thm)],[])).
% 83.96/54.53 tff(572,plain,
% 83.96/54.53 ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | ((~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.53 inference(quant_inst,[status(thm)],[])).
% 83.96/54.53 tff(573,plain,
% 83.96/54.53 ((~![Xa: $i, Xb: $i, Xc: $i] : ((~s_col(Xa, Xb, Xc)) | s_col(Xa, Xc, Xb))) | (~s_col(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(modus_ponens,[status(thm)],[572, 571])).
% 83.96/54.53 tff(574,plain,
% 83.96/54.53 (s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[573, 208, 570])).
% 83.96/54.53 tff(575,plain,
% 83.96/54.53 (((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((Xa!2 = Xb!1) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (Xa!2 = Xb!1) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.96/54.53 inference(rewrite,[status(thm)],[])).
% 83.96/54.53 tff(576,plain,
% 83.96/54.53 ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | ((Xa!2 = Xb!1) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.96/54.53 inference(quant_inst,[status(thm)],[])).
% 83.96/54.53 tff(577,plain,
% 83.96/54.53 ((~![Xa: $i, Xb: $i, Xc: $i] : ((Xa = Xb) | (~s_t(Xa, Xb, Xc)) | (~s_t(Xb, Xa, Xc)))) | (Xa!2 = Xb!1) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.53 inference(modus_ponens,[status(thm)],[576, 575])).
% 83.96/54.53 tff(578,plain,
% 83.96/54.53 (~s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[577, 222, 36, 567])).
% 83.96/54.53 tff(579,plain,
% 83.96/54.53 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.96/54.53 inference(rewrite,[status(thm)],[])).
% 83.96/54.53 tff(580,plain,
% 83.96/54.53 ((s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) <=> (sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.96/54.53 inference(rewrite,[status(thm)],[])).
% 83.96/54.53 tff(581,plain,
% 83.96/54.53 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 83.96/54.53 inference(monotonicity,[status(thm)],[580])).
% 83.96/54.53 tff(582,plain,
% 83.96/54.53 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.96/54.53 inference(transitivity,[status(thm)],[581, 579])).
% 83.96/54.53 tff(583,plain,
% 83.96/54.53 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.53 inference(quant_inst,[status(thm)],[])).
% 83.96/54.53 tff(584,plain,
% 83.96/54.53 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.53 inference(modus_ponens,[status(thm)],[583, 582])).
% 83.96/54.53 tff(585,plain,
% 83.96/54.53 (sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[584, 236, 578, 574])).
% 83.96/54.53 tff(586,plain,
% 83.96/54.53 ((~((~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)))) | (~sameside(Xb!1, Xa!2, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2))),
% 83.96/54.53 inference(tautology,[status(thm)],[])).
% 83.96/54.53 tff(587,plain,
% 83.96/54.53 (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2)),
% 83.96/54.53 inference(unit_resolution,[status(thm)],[586, 585, 546])).
% 83.96/54.53 tff(588,plain,
% 83.96/54.53 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))),
% 83.96/54.53 inference(rewrite,[status(thm)],[])).
% 83.96/54.53 tff(589,plain,
% 83.96/54.53 ((~((~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)))))) <=> (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))))),
% 83.96/54.54 inference(rewrite,[status(thm)],[])).
% 83.96/54.54 tff(590,plain,
% 83.96/54.54 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))),
% 83.96/54.54 inference(monotonicity,[status(thm)],[589])).
% 83.96/54.54 tff(591,plain,
% 83.96/54.54 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))),
% 83.96/54.54 inference(transitivity,[status(thm)],[590, 588])).
% 83.96/54.54 tff(592,plain,
% 83.96/54.54 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | (~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2))))))),
% 83.96/54.54 inference(quant_inst,[status(thm)],[])).
% 83.96/54.54 tff(593,plain,
% 83.96/54.54 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))))),
% 83.96/54.54 inference(modus_ponens,[status(thm)],[592, 591])).
% 83.96/54.54 tff(594,plain,
% 83.96/54.54 (~((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))),
% 83.96/54.54 inference(unit_resolution,[status(thm)],[593, 177])).
% 83.96/54.54 tff(595,plain,
% 83.96/54.54 (((~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~(s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))) | ((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))),
% 83.96/54.54 inference(tautology,[status(thm)],[])).
% 83.96/54.54 tff(596,plain,
% 83.96/54.54 ((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)),
% 83.96/54.54 inference(unit_resolution,[status(thm)],[595, 594])).
% 83.96/54.54 tff(597,plain,
% 83.96/54.54 ((~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)),
% 83.96/54.54 inference(tautology,[status(thm)],[])).
% 83.96/54.54 tff(598,plain,
% 83.96/54.54 ((~((~s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)),
% 83.96/54.54 inference(unit_resolution,[status(thm)],[597, 567])).
% 83.96/54.54 tff(599,plain,
% 83.96/54.54 (s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)),
% 83.96/54.54 inference(unit_resolution,[status(thm)],[598, 596])).
% 83.96/54.54 tff(600,plain,
% 83.96/54.54 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.55 inference(rewrite,[status(thm)],[])).
% 83.96/54.55 tff(601,plain,
% 83.96/54.55 ((~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)))))) <=> (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.55 inference(rewrite,[status(thm)],[])).
% 83.96/54.55 tff(602,plain,
% 83.96/54.55 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.55 inference(monotonicity,[status(thm)],[601])).
% 83.96/54.55 tff(603,plain,
% 83.96/54.55 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.55 inference(transitivity,[status(thm)],[602, 600])).
% 83.96/54.55 tff(604,plain,
% 83.96/54.55 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1))))))),
% 83.96/54.55 inference(quant_inst,[status(thm)],[])).
% 83.96/54.55 tff(605,plain,
% 83.96/54.55 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.56 inference(modus_ponens,[status(thm)],[604, 603])).
% 83.96/54.56 tff(606,plain,
% 83.96/54.56 (~((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[605, 177])).
% 83.96/54.56 tff(607,plain,
% 83.96/54.56 (((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1) | s_t(Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.56 inference(tautology,[status(thm)],[])).
% 83.96/54.56 tff(608,plain,
% 83.96/54.56 ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[607, 606])).
% 83.96/54.56 tff(609,plain,
% 83.96/54.56 (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.56 inference(tautology,[status(thm)],[])).
% 83.96/54.56 tff(610,plain,
% 83.96/54.56 ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[609, 562])).
% 83.96/54.56 tff(611,plain,
% 83.96/54.56 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(tautology,[status(thm)],[])).
% 83.96/54.56 tff(612,plain,
% 83.96/54.56 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[611, 529])).
% 83.96/54.56 tff(613,plain,
% 83.96/54.56 (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[612, 610])).
% 83.96/54.56 tff(614,plain,
% 83.96/54.56 ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(tautology,[status(thm)],[])).
% 83.96/54.56 tff(615,plain,
% 83.96/54.56 ((~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[614, 613])).
% 83.96/54.56 tff(616,plain,
% 83.96/54.56 (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[615, 608])).
% 83.96/54.56 tff(617,plain,
% 83.96/54.56 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | s_col(Xa, Xp, Xb))) | (~((~s_t(Xa, Xp, Xb)) | (~sameside(Xa, Xp, Xb))))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.56 inference(quant_inst,[status(thm)],[])).
% 83.96/54.56 tff(618,plain,
% 83.96/54.56 (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[617, 75])).
% 83.96/54.56 tff(619,plain,
% 83.96/54.56 (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.56 inference(tautology,[status(thm)],[])).
% 83.96/54.56 tff(620,plain,
% 83.96/54.56 ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[619, 618])).
% 83.96/54.56 tff(621,plain,
% 83.96/54.56 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.96/54.56 inference(tautology,[status(thm)],[])).
% 83.96/54.56 tff(622,plain,
% 83.96/54.56 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[621, 529])).
% 83.96/54.56 tff(623,plain,
% 83.96/54.56 (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)),
% 83.96/54.56 inference(unit_resolution,[status(thm)],[622, 620])).
% 83.96/54.56 tff(624,plain,
% 83.96/54.56 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.96/54.56 inference(rewrite,[status(thm)],[])).
% 83.96/54.56 tff(625,plain,
% 83.96/54.56 ((~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.96/54.56 inference(rewrite,[status(thm)],[])).
% 83.96/54.56 tff(626,plain,
% 83.96/54.56 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.96/54.56 inference(monotonicity,[status(thm)],[625])).
% 83.96/54.57 tff(627,plain,
% 83.96/54.57 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.96/54.57 inference(transitivity,[status(thm)],[626, 624])).
% 83.96/54.57 tff(628,plain,
% 83.96/54.57 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 83.96/54.57 inference(quant_inst,[status(thm)],[])).
% 83.96/54.57 tff(629,plain,
% 83.96/54.57 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.96/54.57 inference(modus_ponens,[status(thm)],[628, 627])).
% 83.96/54.57 tff(630,plain,
% 83.96/54.57 (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 83.96/54.57 inference(unit_resolution,[status(thm)],[629, 155])).
% 83.96/54.57 tff(631,plain,
% 83.96/54.57 (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | (xb = Xb!1))) | (~((Xa!2 = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 83.96/54.57 inference(tautology,[status(thm)],[])).
% 83.96/54.57 tff(632,plain,
% 83.96/54.57 ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.96/54.57 inference(unit_resolution,[status(thm)],[631, 630])).
% 83.96/54.57 tff(633,plain,
% 83.96/54.57 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.96/54.57 inference(tautology,[status(thm)],[])).
% 83.96/54.57 tff(634,plain,
% 83.96/54.57 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 83.96/54.57 inference(unit_resolution,[status(thm)],[633, 529])).
% 83.96/54.57 tff(635,plain,
% 83.96/54.57 (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 83.96/54.57 inference(unit_resolution,[status(thm)],[634, 632])).
% 83.96/54.57 tff(636,plain,
% 83.96/54.57 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))),
% 83.96/54.57 inference(rewrite,[status(thm)],[])).
% 83.96/54.57 tff(637,plain,
% 83.96/54.57 (((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) <=> ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))),
% 83.96/54.57 inference(rewrite,[status(thm)],[])).
% 83.96/54.57 tff(638,plain,
% 83.96/54.57 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))),
% 83.96/54.57 inference(monotonicity,[status(thm)],[637])).
% 83.96/54.57 tff(639,plain,
% 83.96/54.57 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))),
% 83.96/54.57 inference(transitivity,[status(thm)],[638, 636])).
% 83.96/54.57 tff(640,plain,
% 83.96/54.57 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.57 inference(quant_inst,[status(thm)],[])).
% 83.96/54.57 tff(641,plain,
% 83.96/54.57 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | (~s_col(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 83.96/54.57 inference(modus_ponens,[status(thm)],[640, 639])).
% 83.96/54.57 tff(642,plain,
% 83.96/54.57 ((c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xa!2) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 83.96/54.57 inference(unit_resolution,[status(thm)],[641, 303, 635, 623, 616, 599])).
% 83.96/54.57 tff(643,plain,
% 83.96/54.57 (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)),
% 83.96/54.57 inference(unit_resolution,[status(thm)],[642, 587])).
% 83.96/54.57 tff(644,plain,
% 83.96/54.57 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.58 inference(rewrite,[status(thm)],[])).
% 83.96/54.58 tff(645,plain,
% 83.96/54.58 ((~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)))))) <=> (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.58 inference(rewrite,[status(thm)],[])).
% 83.96/54.58 tff(646,plain,
% 83.96/54.58 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.58 inference(monotonicity,[status(thm)],[645])).
% 83.96/54.58 tff(647,plain,
% 83.96/54.58 (((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))))),
% 83.96/54.58 inference(transitivity,[status(thm)],[646, 644])).
% 83.96/54.58 tff(648,plain,
% 83.96/54.58 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~(s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))) | (~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1))))))),
% 83.96/54.58 inference(quant_inst,[status(thm)],[])).
% 83.96/54.58 tff(649,plain,
% 83.96/54.58 ((~![Xa: $i, Xb: $i, Xc: $i] : (~((~(s_t(Xb, Xc, Xa) | s_t(Xa, Xb, Xc) | (~s_col(Xa, Xb, Xc)) | s_t(Xc, Xa, Xb))) | (~((~s_t(Xa, Xb, Xc)) | s_col(Xa, Xb, Xc))) | (~((~s_t(Xb, Xc, Xa)) | s_col(Xa, Xb, Xc))) | (~(s_col(Xa, Xb, Xc) | (~s_t(Xc, Xa, Xb))))))) | (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))))),
% 83.96/54.58 inference(modus_ponens,[status(thm)],[648, 647])).
% 83.96/54.58 tff(650,plain,
% 83.96/54.58 (~((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 83.96/54.58 inference(unit_resolution,[status(thm)],[649, 177])).
% 83.96/54.58 tff(651,plain,
% 83.96/54.58 (((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~(s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1) | s_t(Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | (~((~s_t(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2), Xa!2, Xb!1)) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.58 inference(tautology,[status(thm)],[])).
% 83.96/54.58 tff(652,plain,
% 83.96/54.58 ((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.58 inference(unit_resolution,[status(thm)],[651, 650])).
% 83.96/54.58 tff(653,plain,
% 83.96/54.58 ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.58 inference(tautology,[status(thm)],[])).
% 83.96/54.58 tff(654,plain,
% 83.96/54.58 ((~((~s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.58 inference(unit_resolution,[status(thm)],[653, 521])).
% 83.96/54.58 tff(655,plain,
% 83.96/54.58 (s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.58 inference(unit_resolution,[status(thm)],[654, 652])).
% 83.96/54.58 tff(656,plain,
% 83.96/54.58 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(rewrite,[status(thm)],[])).
% 83.96/54.59 tff(657,plain,
% 83.96/54.59 (((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1))) <=> ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(rewrite,[status(thm)],[])).
% 83.96/54.59 tff(658,plain,
% 83.96/54.59 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.96/54.59 inference(monotonicity,[status(thm)],[657])).
% 83.96/54.59 tff(659,plain,
% 83.96/54.59 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(transitivity,[status(thm)],[658, 656])).
% 83.96/54.59 tff(660,plain,
% 83.96/54.59 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | ((Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)))),
% 83.96/54.59 inference(quant_inst,[status(thm)],[])).
% 83.96/54.59 tff(661,plain,
% 83.96/54.59 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xp: $i] : ((Xc = Xd) | (Xa = Xb) | (~s_col(Xc, Xd, Xp)) | (~s_col(Xa, Xb, Xc)) | s_col(Xa, Xb, Xp) | (~s_col(Xa, Xb, Xd)))) | (Xa!2 = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(modus_ponens,[status(thm)],[660, 659])).
% 83.96/54.59 tff(662,plain,
% 83.96/54.59 ((~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xb!1)) | s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(unit_resolution,[status(thm)],[661, 303, 36, 635, 623, 655])).
% 83.96/54.59 tff(663,plain,
% 83.96/54.59 (s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(unit_resolution,[status(thm)],[662, 643])).
% 83.96/54.59 tff(664,plain,
% 83.96/54.59 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(rewrite,[status(thm)],[])).
% 83.96/54.59 tff(665,plain,
% 83.96/54.59 ((s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) <=> (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(rewrite,[status(thm)],[])).
% 83.96/54.59 tff(666,plain,
% 83.96/54.59 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))),
% 83.96/54.59 inference(monotonicity,[status(thm)],[665])).
% 83.96/54.59 tff(667,plain,
% 83.96/54.59 (((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(transitivity,[status(thm)],[666, 664])).
% 83.96/54.59 tff(668,plain,
% 83.96/54.59 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(quant_inst,[status(thm)],[])).
% 83.96/54.59 tff(669,plain,
% 83.96/54.59 ((~![Xa: $i, Xp: $i, Xb: $i] : (s_t(Xa, Xp, Xb) | (~s_col(Xa, Xp, Xb)) | sameside(Xa, Xp, Xb))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~s_col(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(modus_ponens,[status(thm)],[668, 667])).
% 83.96/54.59 tff(670,plain,
% 83.96/54.59 (s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(unit_resolution,[status(thm)],[669, 236, 663, 537])).
% 83.96/54.59 tff(671,plain,
% 83.96/54.59 (s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) <=> s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(monotonicity,[status(thm)],[500])).
% 83.96/54.59 tff(672,plain,
% 83.96/54.59 (s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) <=> s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(symmetry,[status(thm)],[671])).
% 83.96/54.59 tff(673,plain,
% 83.96/54.59 (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))),
% 83.96/54.59 inference(tautology,[status(thm)],[])).
% 83.96/54.59 tff(674,plain,
% 83.96/54.59 ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(unit_resolution,[status(thm)],[673, 511])).
% 83.96/54.59 tff(675,plain,
% 83.96/54.59 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(tautology,[status(thm)],[])).
% 83.96/54.59 tff(676,plain,
% 83.96/54.59 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(unit_resolution,[status(thm)],[675, 518])).
% 83.96/54.59 tff(677,plain,
% 83.96/54.59 (s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(unit_resolution,[status(thm)],[676, 674])).
% 83.96/54.59 tff(678,plain,
% 83.96/54.59 (s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))),
% 83.96/54.59 inference(modus_ponens,[status(thm)],[677, 672])).
% 83.96/54.59 tff(679,plain,
% 83.96/54.59 ((s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) <=> (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 83.96/54.59 inference(monotonicity,[status(thm)],[500])).
% 83.96/54.59 tff(680,plain,
% 83.96/54.59 ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 83.96/54.59 inference(symmetry,[status(thm)],[679])).
% 83.96/54.59 tff(681,plain,
% 83.96/54.59 ((~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 83.96/54.59 inference(monotonicity,[status(thm)],[680])).
% 83.96/54.59 tff(682,plain,
% 83.96/54.59 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.96/54.60 inference(rewrite,[status(thm)],[])).
% 83.96/54.60 tff(683,plain,
% 83.96/54.60 ((~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) <=> (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 83.96/54.60 inference(rewrite,[status(thm)],[])).
% 83.96/54.60 tff(684,plain,
% 83.96/54.60 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.96/54.60 inference(monotonicity,[status(thm)],[683])).
% 83.96/54.60 tff(685,plain,
% 83.96/54.60 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 83.96/54.60 inference(transitivity,[status(thm)],[684, 682])).
% 83.96/54.60 tff(686,plain,
% 83.96/54.60 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(Xa!2 = Xb!1)))) | (~(s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1))) | (~((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))))),
% 84.04/54.60 inference(quant_inst,[status(thm)],[])).
% 84.04/54.60 tff(687,plain,
% 84.04/54.60 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 84.04/54.60 inference(modus_ponens,[status(thm)],[686, 685])).
% 84.04/54.60 tff(688,plain,
% 84.04/54.60 (~((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 84.04/54.60 inference(unit_resolution,[status(thm)],[687, 155])).
% 84.04/54.60 tff(689,plain,
% 84.04/54.60 (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2))) | (~(sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (xb = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xa!2)))) | (~((Xa!2 = Xb!1) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, Xa!2, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))),
% 84.04/54.60 inference(tautology,[status(thm)],[])).
% 84.04/54.60 tff(690,plain,
% 84.04/54.60 ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 84.04/54.60 inference(unit_resolution,[status(thm)],[689, 688])).
% 84.04/54.60 tff(691,plain,
% 84.04/54.60 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 84.04/54.61 inference(tautology,[status(thm)],[])).
% 84.04/54.61 tff(692,plain,
% 84.04/54.61 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 84.04/54.61 inference(unit_resolution,[status(thm)],[691, 518])).
% 84.04/54.61 tff(693,plain,
% 84.04/54.61 (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 84.04/54.61 inference(unit_resolution,[status(thm)],[692, 690])).
% 84.04/54.61 tff(694,plain,
% 84.04/54.61 (~(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)),
% 84.04/54.61 inference(modus_ponens,[status(thm)],[693, 681])).
% 84.04/54.61 tff(695,plain,
% 84.04/54.61 (((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))),
% 84.04/54.61 inference(tautology,[status(thm)],[])).
% 84.04/54.61 tff(696,plain,
% 84.04/54.61 ((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 84.04/54.61 inference(unit_resolution,[status(thm)],[695, 511])).
% 84.04/54.61 tff(697,plain,
% 84.04/54.61 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 84.04/54.61 inference(tautology,[status(thm)],[])).
% 84.04/54.61 tff(698,plain,
% 84.04/54.61 ((~((~sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 84.04/54.61 inference(unit_resolution,[status(thm)],[697, 518])).
% 84.04/54.61 tff(699,plain,
% 84.04/54.61 (~(c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)),
% 84.04/54.61 inference(unit_resolution,[status(thm)],[698, 696])).
% 84.04/54.61 tff(700,plain,
% 84.04/54.61 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.61 inference(rewrite,[status(thm)],[])).
% 84.04/54.61 tff(701,plain,
% 84.04/54.61 (((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.61 inference(rewrite,[status(thm)],[])).
% 84.04/54.61 tff(702,plain,
% 84.04/54.61 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 84.04/54.61 inference(monotonicity,[status(thm)],[701])).
% 84.04/54.61 tff(703,plain,
% 84.04/54.61 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.61 inference(transitivity,[status(thm)],[702, 700])).
% 84.04/54.61 tff(704,plain,
% 84.04/54.61 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 84.04/54.61 inference(quant_inst,[status(thm)],[])).
% 84.04/54.61 tff(705,plain,
% 84.04/54.61 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (~s_t(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.61 inference(modus_ponens,[status(thm)],[704, 703])).
% 84.04/54.61 tff(706,plain,
% 84.04/54.61 (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.61 inference(unit_resolution,[status(thm)],[705, 377, 635, 699, 694, 678, 670])).
% 84.04/54.61 tff(707,plain,
% 84.04/54.61 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 84.04/54.61 inference(rewrite,[status(thm)],[])).
% 84.04/54.61 tff(708,plain,
% 84.04/54.61 ((~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 84.04/54.62 inference(rewrite,[status(thm)],[])).
% 84.04/54.62 tff(709,plain,
% 84.04/54.62 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 84.04/54.62 inference(monotonicity,[status(thm)],[708])).
% 84.04/54.62 tff(710,plain,
% 84.04/54.62 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))))),
% 84.04/54.62 inference(transitivity,[status(thm)],[709, 707])).
% 84.04/54.62 tff(711,plain,
% 84.04/54.62 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~(s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (xb = Xb!1))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 84.04/54.62 inference(quant_inst,[status(thm)],[])).
% 84.04/54.62 tff(712,plain,
% 84.04/54.62 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))))),
% 84.04/54.62 inference(modus_ponens,[status(thm)],[711, 710])).
% 84.04/54.62 tff(713,plain,
% 84.04/54.62 (~((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 84.04/54.62 inference(unit_resolution,[status(thm)],[712, 155])).
% 84.04/54.62 tff(714,plain,
% 84.04/54.62 (((~((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (xb = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(tautology,[status(thm)],[])).
% 84.04/54.63 tff(715,plain,
% 84.04/54.63 ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[714, 713])).
% 84.04/54.63 tff(716,plain,
% 84.04/54.63 (((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)))) | (~((~(Xa!2 = Xb!1)) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)))) | (~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | s_t(Xa!2, Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))))) | ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))),
% 84.04/54.63 inference(tautology,[status(thm)],[])).
% 84.04/54.63 tff(717,plain,
% 84.04/54.63 ((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[716, 562])).
% 84.04/54.63 tff(718,plain,
% 84.04/54.63 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 84.04/54.63 inference(tautology,[status(thm)],[])).
% 84.04/54.63 tff(719,plain,
% 84.04/54.63 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2)) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)))) | (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[718, 529])).
% 84.04/54.63 tff(720,plain,
% 84.04/54.63 (~(c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1)),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[719, 717])).
% 84.04/54.63 tff(721,plain,
% 84.04/54.63 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(rewrite,[status(thm)],[])).
% 84.04/54.63 tff(722,plain,
% 84.04/54.63 (((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(rewrite,[status(thm)],[])).
% 84.04/54.63 tff(723,plain,
% 84.04/54.63 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.63 inference(monotonicity,[status(thm)],[722])).
% 84.04/54.63 tff(724,plain,
% 84.04/54.63 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(transitivity,[status(thm)],[723, 721])).
% 84.04/54.63 tff(725,plain,
% 84.04/54.63 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 84.04/54.63 inference(quant_inst,[status(thm)],[])).
% 84.04/54.63 tff(726,plain,
% 84.04/54.63 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(modus_ponens,[status(thm)],[725, 724])).
% 84.04/54.63 tff(727,plain,
% 84.04/54.63 (sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[726, 377, 635, 720, 613])).
% 84.04/54.63 tff(728,plain,
% 84.04/54.63 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(tautology,[status(thm)],[])).
% 84.04/54.63 tff(729,plain,
% 84.04/54.63 ((~((~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[728, 727])).
% 84.04/54.63 tff(730,plain,
% 84.04/54.63 (s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[729, 715])).
% 84.04/54.63 tff(731,plain,
% 84.04/54.63 (((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(rewrite,[status(thm)],[])).
% 84.04/54.63 tff(732,plain,
% 84.04/54.63 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | ((~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(quant_inst,[status(thm)],[])).
% 84.04/54.63 tff(733,plain,
% 84.04/54.63 ((~![Xa: $i, Xp: $i, Xb: $i] : ((~s_t(Xp, Xa, Xb)) | (~sameside(Xa, Xp, Xb)) | le(Xp, Xa, Xp, Xb))) | (~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(modus_ponens,[status(thm)],[732, 731])).
% 84.04/54.63 tff(734,plain,
% 84.04/54.63 ((~s_t(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[733, 418, 727])).
% 84.04/54.63 tff(735,plain,
% 84.04/54.63 (le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[734, 730])).
% 84.04/54.63 tff(736,plain,
% 84.04/54.63 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(rewrite,[status(thm)],[])).
% 84.04/54.63 tff(737,plain,
% 84.04/54.63 ((s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(rewrite,[status(thm)],[])).
% 84.04/54.63 tff(738,plain,
% 84.04/54.63 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | ((~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.63 inference(monotonicity,[status(thm)],[737])).
% 84.04/54.63 tff(739,plain,
% 84.04/54.63 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.63 inference(transitivity,[status(thm)],[738, 736])).
% 84.04/54.63 tff(740,plain,
% 84.04/54.63 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.63 inference(quant_inst,[status(thm)],[])).
% 84.04/54.63 tff(741,plain,
% 84.04/54.63 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : (s_e(Xa, Xb, Xc, Xd) | (~le(Xa, Xb, Xc, Xd)) | (~le(Xc, Xd, Xa, Xb)))) | (~le(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(modus_ponens,[status(thm)],[740, 739])).
% 84.04/54.63 tff(742,plain,
% 84.04/54.63 (s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(unit_resolution,[status(thm)],[741, 433, 735])).
% 84.04/54.63 tff(743,plain,
% 84.04/54.63 (sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) <=> sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.63 inference(monotonicity,[status(thm)],[500, 500])).
% 84.04/54.63 tff(744,plain,
% 84.04/54.63 (sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(symmetry,[status(thm)],[743])).
% 84.04/54.64 tff(745,plain,
% 84.04/54.64 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(rewrite,[status(thm)],[])).
% 84.04/54.64 tff(746,plain,
% 84.04/54.64 (((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(rewrite,[status(thm)],[])).
% 84.04/54.64 tff(747,plain,
% 84.04/54.64 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.64 inference(monotonicity,[status(thm)],[746])).
% 84.04/54.64 tff(748,plain,
% 84.04/54.64 (((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))) <=> ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(transitivity,[status(thm)],[747, 745])).
% 84.04/54.64 tff(749,plain,
% 84.04/54.64 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | ((~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1))),
% 84.04/54.64 inference(quant_inst,[status(thm)],[])).
% 84.04/54.64 tff(750,plain,
% 84.04/54.64 ((~![Xa: $i, Xp: $i, Xb: $i, Xc: $i] : ((~s_t(Xb, Xp, Xc)) | (Xa = Xp) | (~s_t(Xa, Xp, Xc)) | sameside(Xa, Xp, Xb) | (Xc = Xp) | (Xb = Xp))) | (f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) | (c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2) = Xb!1) | (~s_t(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, c63(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(modus_ponens,[status(thm)],[749, 748])).
% 84.04/54.64 tff(751,plain,
% 84.04/54.64 (sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(unit_resolution,[status(thm)],[750, 377, 693, 699, 677])).
% 84.04/54.64 tff(752,plain,
% 84.04/54.64 (sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(modus_ponens,[status(thm)],[751, 744])).
% 84.04/54.64 tff(753,plain,
% 84.04/54.64 (s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(monotonicity,[status(thm)],[500])).
% 84.04/54.64 tff(754,plain,
% 84.04/54.64 (s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(symmetry,[status(thm)],[753])).
% 84.04/54.64 tff(755,plain,
% 84.04/54.64 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(rewrite,[status(thm)],[])).
% 84.04/54.64 tff(756,plain,
% 84.04/54.64 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(quant_inst,[status(thm)],[])).
% 84.04/54.64 tff(757,plain,
% 84.04/54.64 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(modus_ponens,[status(thm)],[756, 755])).
% 84.04/54.64 tff(758,plain,
% 84.04/54.64 (s_e(Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(unit_resolution,[status(thm)],[757, 459, 491])).
% 84.04/54.64 tff(759,plain,
% 84.04/54.64 (s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(modus_ponens,[status(thm)],[758, 754])).
% 84.04/54.64 tff(760,plain,
% 84.04/54.64 ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)),
% 84.04/54.64 inference(commutativity,[status(thm)],[])).
% 84.04/54.64 tff(761,plain,
% 84.04/54.64 ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1) <=> (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(symmetry,[status(thm)],[760])).
% 84.04/54.64 tff(762,plain,
% 84.04/54.64 ((~(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = Xb!1)) <=> (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.64 inference(monotonicity,[status(thm)],[761])).
% 84.04/54.64 tff(763,plain,
% 84.04/54.64 (~(Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.64 inference(modus_ponens,[status(thm)],[635, 762])).
% 84.04/54.64 tff(764,plain,
% 84.04/54.64 (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 84.04/54.65 inference(rewrite,[status(thm)],[])).
% 84.04/54.65 tff(765,plain,
% 84.04/54.65 (((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1)) <=> ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 84.04/54.65 inference(rewrite,[status(thm)],[])).
% 84.04/54.65 tff(766,plain,
% 84.04/54.65 (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))))),
% 84.04/54.65 inference(monotonicity,[status(thm)],[765])).
% 84.04/54.65 tff(767,plain,
% 84.04/54.65 (((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))) <=> ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))),
% 84.04/54.65 inference(transitivity,[status(thm)],[766, 764])).
% 84.04/54.65 tff(768,plain,
% 84.04/54.65 ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | ((f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1))),
% 84.04/54.65 inference(quant_inst,[status(thm)],[])).
% 84.04/54.65 tff(769,plain,
% 84.04/54.65 ((~![Xr: $i, Xa: $i, Xb: $i, Xc: $i, Xp: $i, Xq: $i] : ((Xp = Xq) | (Xb = Xc) | (~s_e(Xa, Xq, Xb, Xc)) | (~sameside(Xq, Xa, Xr)) | (~s_e(Xa, Xp, Xb, Xc)) | (~sameside(Xp, Xa, Xr)) | (Xr = Xa))) | (Xb!1 = f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) | (s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) = Xb!1) | (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~s_e(Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) | (~sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.66 inference(modus_ponens,[status(thm)],[768, 767])).
% 84.04/54.66 tff(770,plain,
% 84.04/54.66 (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = s(isomidpoint(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.66 inference(unit_resolution,[status(thm)],[769, 478, 763, 694, 759, 752, 742, 706])).
% 84.04/54.66 tff(771,plain,
% 84.04/54.66 (f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) = f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)),
% 84.04/54.66 inference(transitivity,[status(thm)],[770, 500])).
% 84.04/54.66 tff(772,plain,
% 84.04/54.66 (s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.66 inference(monotonicity,[status(thm)],[771, 486])).
% 84.04/54.66 tff(773,plain,
% 84.04/54.66 (s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)) <=> s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.04/54.66 inference(symmetry,[status(thm)],[772])).
% 84.04/54.66 tff(774,plain,
% 84.04/54.66 ((~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))) <=> (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.66 inference(monotonicity,[status(thm)],[773])).
% 84.04/54.66 tff(775,plain,
% 84.04/54.66 (((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xa!2))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | sameside(f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, Xc!0))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | s_e(Xb!1, f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), Xb!1, f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))) | (~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))))) | ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))),
% 84.04/54.66 inference(tautology,[status(thm)],[])).
% 84.04/54.66 tff(776,plain,
% 84.04/54.66 ((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.04/54.66 inference(unit_resolution,[status(thm)],[775, 20])).
% 84.04/54.66 tff(777,plain,
% 84.04/54.66 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.12/54.70 inference(tautology,[status(thm)],[])).
% 84.12/54.70 tff(778,plain,
% 84.12/54.70 ((~((Xa!2 = Xb!1) | (Xc!0 = Xb!1) | congruent(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))))) | (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0)))),
% 84.12/54.70 inference(unit_resolution,[status(thm)],[777, 36, 35, 34])).
% 84.12/54.70 tff(779,plain,
% 84.12/54.70 (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113d(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113f(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.12/54.70 inference(unit_resolution,[status(thm)],[778, 776])).
% 84.12/54.70 tff(780,plain,
% 84.12/54.70 (~s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.12/54.70 inference(modus_ponens,[status(thm)],[779, 774])).
% 84.12/54.70 tff(781,plain,
% 84.12/54.70 (^[Xa: $i, Xb: $i] : refl(s_e(Xa, Xb, Xa, Xb) <=> s_e(Xa, Xb, Xa, Xb))),
% 84.12/54.70 inference(bind,[status(th)],[])).
% 84.12/54.70 tff(782,plain,
% 84.12/54.70 (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb) <=> ![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 84.12/54.70 inference(quant_intro,[status(thm)],[781])).
% 84.12/54.70 tff(783,plain,
% 84.12/54.70 (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb) <=> ![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 84.12/54.70 inference(rewrite,[status(thm)],[])).
% 84.12/54.70 tff(784,axiom,(![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz2_1')).
% 84.12/54.70 tff(785,plain,
% 84.12/54.70 (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 84.12/54.70 inference(modus_ponens,[status(thm)],[784, 783])).
% 84.12/54.70 tff(786,plain,(
% 84.12/54.70 ![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 84.12/54.70 inference(skolemize,[status(sab)],[785])).
% 84.12/54.70 tff(787,plain,
% 84.12/54.70 (![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)),
% 84.12/54.70 inference(modus_ponens,[status(thm)],[786, 782])).
% 84.12/54.70 tff(788,plain,
% 84.12/54.70 ((~![Xa: $i, Xb: $i] : s_e(Xa, Xb, Xa, Xb)) | s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.12/54.70 inference(quant_inst,[status(thm)],[])).
% 84.12/54.70 tff(789,plain,
% 84.12/54.70 (s_e(f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113a(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0), f113c(Xa!2, Xb!1, Xc!0, Xa!2, Xb!1, Xc!0))),
% 84.12/54.70 inference(unit_resolution,[status(thm)],[788, 787])).
% 84.12/54.70 tff(790,plain,
% 84.12/54.70 ($false),
% 84.12/54.70 inference(unit_resolution,[status(thm)],[789, 780])).
% 84.12/54.70 % SZS output end Proof
%------------------------------------------------------------------------------