TSTP Solution File: GEO532+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO532+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 20:36:54 EDT 2022
% Result : Theorem 0.53s 0.60s
% Output : Proof 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO532+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 11:28:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.53/0.60 % SZS status Theorem
% 0.53/0.60 % SZS output start Proof
% 0.53/0.60 tff(s_e_type, type, (
% 0.53/0.60 s_e: ( $i * $i * $i * $i ) > $o)).
% 0.53/0.60 tff(f113c_type, type, (
% 0.53/0.60 f113c: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 0.53/0.60 tff(tptp_fun_Xc_3_type, type, (
% 0.53/0.60 tptp_fun_Xc_3: $i)).
% 0.53/0.60 tff(tptp_fun_Xb_4_type, type, (
% 0.53/0.60 tptp_fun_Xb_4: $i)).
% 0.53/0.60 tff(tptp_fun_Xa_5_type, type, (
% 0.53/0.60 tptp_fun_Xa_5: $i)).
% 0.53/0.60 tff(tptp_fun_Xf_0_type, type, (
% 0.53/0.60 tptp_fun_Xf_0: $i)).
% 0.53/0.60 tff(tptp_fun_Xe_1_type, type, (
% 0.53/0.60 tptp_fun_Xe_1: $i)).
% 0.53/0.60 tff(tptp_fun_Xd_2_type, type, (
% 0.53/0.60 tptp_fun_Xd_2: $i)).
% 0.53/0.60 tff(f113a_type, type, (
% 0.53/0.60 f113a: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 0.53/0.60 tff(f113f_type, type, (
% 0.53/0.60 f113f: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 0.53/0.60 tff(f113d_type, type, (
% 0.53/0.60 f113d: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 0.53/0.60 tff(congruent_type, type, (
% 0.53/0.60 congruent: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 0.53/0.60 tff(sameside_type, type, (
% 0.53/0.60 sameside: ( $i * $i * $i ) > $o)).
% 0.53/0.60 tff(ext_type, type, (
% 0.53/0.60 ext: ( $i * $i * $i * $i ) > $i)).
% 0.53/0.60 tff(s_t_type, type, (
% 0.53/0.60 s_t: ( $i * $i * $i ) > $o)).
% 0.53/0.60 tff(xb_type, type, (
% 0.53/0.60 xb: $i)).
% 0.53/0.60 tff(s_e3_type, type, (
% 0.53/0.60 s_e3: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 0.53/0.60 tff(1,plain,
% 0.53/0.60 (^[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))))))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(2,plain,
% 0.53/0.60 (![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)))))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[1])).
% 0.53/0.60 tff(3,plain,
% 0.53/0.60 (^[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)))))))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(4,plain,
% 0.53/0.60 (![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)))))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[3])).
% 0.53/0.60 tff(5,plain,
% 0.53/0.60 (![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)))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(6,plain,
% 0.53/0.60 (^[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)))))),
% 0.53/0.61 inference(bind,[status(th)],[])).
% 0.53/0.61 tff(7,plain,
% 0.53/0.61 (![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)))),
% 0.53/0.61 inference(quant_intro,[status(thm)],[6])).
% 0.53/0.61 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')).
% 0.53/0.61 tff(9,plain,
% 0.53/0.61 (![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)))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.53/0.61 tff(10,plain,
% 0.53/0.61 (![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)))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.53/0.61 tff(11,plain,(
% 0.53/0.61 ![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)))),
% 0.53/0.61 inference(skolemize,[status(sab)],[10])).
% 0.53/0.61 tff(12,plain,
% 0.53/0.61 (![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)))))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.53/0.61 tff(13,plain,
% 0.53/0.61 (![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)))))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.53/0.61 tff(14,plain,
% 0.53/0.61 (((~![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)))))) | (~((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))))) <=> ((~![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)))))) | (~((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(15,plain,
% 0.53/0.62 ((~((~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (Xf!0 = Xe!1))))) <=> (~((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(16,plain,
% 0.53/0.62 (((~![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!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (Xf!0 = Xe!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)))))) | (~((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))))))),
% 0.59/0.64 inference(monotonicity,[status(thm)],[15])).
% 0.59/0.64 tff(17,plain,
% 0.59/0.64 (((~![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!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (Xf!0 = Xe!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)))))) | (~((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))))))),
% 0.60/0.64 inference(transitivity,[status(thm)],[16, 14])).
% 0.60/0.64 tff(18,plain,
% 0.60/0.64 ((~![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!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~((Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (Xf!0 = Xe!1)))))),
% 0.60/0.65 inference(quant_inst,[status(thm)],[])).
% 0.60/0.65 tff(19,plain,
% 0.60/0.65 ((~![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)))))) | (~((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.60/0.65 tff(20,plain,
% 0.60/0.65 (~((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))))),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[19, 13])).
% 0.60/0.66 tff(21,plain,
% 0.60/0.66 (((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))) | (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))),
% 0.60/0.66 inference(tautology,[status(thm)],[])).
% 0.60/0.66 tff(22,plain,
% 0.60/0.66 (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.60/0.66 tff(23,plain,
% 0.60/0.66 (^[Xa: $i, Xp: $i, Xb: $i] : refl((~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))))),
% 0.60/0.66 inference(bind,[status(th)],[])).
% 0.60/0.66 tff(24,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.60/0.66 inference(quant_intro,[status(thm)],[23])).
% 0.60/0.66 tff(25,plain,
% 0.60/0.66 (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))), rewrite(((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) <=> ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))), rewrite((s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) <=> (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))), rewrite(((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))), rewrite(((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))), rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))), ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))))),
% 0.60/0.66 inference(bind,[status(th)],[])).
% 0.60/0.66 tff(26,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.60/0.66 inference(quant_intro,[status(thm)],[25])).
% 0.60/0.66 tff(27,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.60/0.66 inference(rewrite,[status(thm)],[])).
% 0.60/0.66 tff(28,plain,
% 0.60/0.66 (^[Xa: $i, Xp: $i, Xb: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))))), rewrite((((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa)) <=> (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))))), (((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))))), trans(monotonicity(rewrite((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp))), (((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> (((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))), (((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)))), ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))))), trans(monotonicity(rewrite((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp))), (((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> (((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)))), rewrite((((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))), (((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb)) <=> ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))))), rewrite(((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))), (((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.60/0.66 inference(bind,[status(th)],[])).
% 0.60/0.66 tff(29,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : ((((((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) & (((~sameside(Xa, Xp, Xb)) | s_t(Xp, Xa, Xb)) | s_t(Xp, Xb, Xa))) & ((((~s_t(Xp, Xa, Xb)) | (Xa = Xp)) | (xb = Xp)) | sameside(Xa, Xp, Xb))) & ((((~s_t(Xp, Xb, Xa)) | (Xa = Xp)) | (Xb = Xp)) | sameside(Xa, Xp, Xb))) <=> ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.60/0.66 inference(quant_intro,[status(thm)],[28])).
% 0.60/0.66 tff(30,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')).
% 0.60/0.66 tff(31,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.60/0.66 tff(32,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.60/0.66 tff(33,plain,(
% 0.60/0.66 ![Xa: $i, Xp: $i, Xb: $i] : (((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp))) & ((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp))) & (s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb))) & ((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp)) & ((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))),
% 0.60/0.66 inference(skolemize,[status(sab)],[32])).
% 0.60/0.66 tff(34,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[33, 26])).
% 0.60/0.66 tff(35,plain,
% 0.60/0.66 (![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[34, 24])).
% 0.60/0.66 tff(36,plain,
% 0.60/0.66 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))))))))),
% 0.60/0.66 inference(rewrite,[status(thm)],[])).
% 0.60/0.66 tff(37,plain,
% 0.60/0.66 ((~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))))) <=> (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)))))))),
% 0.60/0.67 inference(rewrite,[status(thm)],[])).
% 0.60/0.67 tff(38,plain,
% 0.60/0.67 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))))))))),
% 0.60/0.67 inference(monotonicity,[status(thm)],[37])).
% 0.60/0.67 tff(39,plain,
% 0.60/0.67 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))))))))),
% 0.60/0.67 inference(transitivity,[status(thm)],[38, 36])).
% 0.60/0.67 tff(40,plain,
% 0.60/0.67 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5) | (~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (xb = Xb!4))) | (~((ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))) | (Xa!5 = Xb!4) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)))))),
% 0.60/0.67 inference(quant_inst,[status(thm)],[])).
% 0.60/0.67 tff(41,plain,
% 0.60/0.67 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)))))))),
% 0.60/0.67 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.60/0.67 tff(42,plain,
% 0.60/0.67 (~((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2))))))),
% 0.60/0.67 inference(unit_resolution,[status(thm)],[41, 35])).
% 0.60/0.67 tff(43,plain,
% 0.60/0.67 (((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)) | s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xa!5, Xe!1, Xd!2), Xa!5)) | (xb = Xb!4))) | (~(sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5) | (Xa!5 = Xb!4) | (ext(Xb!4, Xa!5, Xe!1, Xd!2) = Xb!4) | (~s_t(Xb!4, Xa!5, ext(Xb!4, Xa!5, Xe!1, Xd!2)))))) | ((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))),
% 0.60/0.67 inference(tautology,[status(thm)],[])).
% 0.60/0.67 tff(44,plain,
% 0.60/0.67 ((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4))),
% 0.60/0.67 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.60/0.67 tff(45,plain,
% 0.60/0.67 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : refl((~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))) <=> (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))))),
% 0.60/0.67 inference(bind,[status(th)],[])).
% 0.60/0.67 tff(46,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.60/0.67 inference(quant_intro,[status(thm)],[45])).
% 0.60/0.67 tff(47,plain,
% 0.60/0.67 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : rewrite((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))))),
% 0.60/0.67 inference(bind,[status(th)],[])).
% 0.60/0.67 tff(48,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.60/0.67 inference(quant_intro,[status(thm)],[47])).
% 0.60/0.67 tff(49,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.60/0.67 inference(rewrite,[status(thm)],[])).
% 0.60/0.67 tff(50,plain,
% 0.60/0.67 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : trans(monotonicity(trans(monotonicity(rewrite(((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)))), ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) <=> ((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))))), rewrite(((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)))), ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))))), (((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))))), rewrite(((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))), (((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.60/0.67 inference(bind,[status(th)],[])).
% 0.60/0.67 tff(51,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc)))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.60/0.67 inference(quant_intro,[status(thm)],[50])).
% 0.60/0.67 tff(52,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz11_3a')).
% 0.60/0.67 tff(53,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.60/0.67 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.60/0.67 tff(54,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.60/0.67 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.60/0.67 tff(55,plain,(
% 0.60/0.67 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf)) & ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))),
% 0.60/0.67 inference(skolemize,[status(sab)],[54])).
% 0.60/0.67 tff(56,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.60/0.67 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.60/0.67 tff(57,plain,
% 0.60/0.67 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))),
% 0.60/0.67 inference(modus_ponens,[status(thm)],[56, 46])).
% 0.60/0.67 tff(58,plain,
% 0.60/0.67 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : (~((~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xa, Xe, Xd), Xb, Xa))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xb, Xc, Xe, Xf), Xb, Xc))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xd, Xb, Xa), Xe, Xd))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | sameside(ext(Xe, Xf, Xb, Xc), Xe, Xf))) | (~((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | s_e3(ext(Xb, Xa, Xe, Xd), Xb, ext(Xb, Xc, Xe, Xf), ext(Xe, Xd, Xb, Xa), Xe, ext(Xe, Xf, Xb, Xc))))))) | (~((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | s_e3(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3))))))),
% 0.60/0.68 inference(quant_inst,[status(thm)],[])).
% 0.60/0.68 tff(59,plain,
% 0.60/0.68 (~((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | s_e3(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3)))))),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.60/0.68 tff(60,plain,
% 0.60/0.68 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | s_e3(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))),
% 0.60/0.68 inference(tautology,[status(thm)],[])).
% 0.60/0.68 tff(61,plain,
% 0.60/0.68 ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.60/0.68 tff(62,plain,
% 0.60/0.68 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))) <=> (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc)))),
% 0.60/0.68 inference(rewrite,[status(thm)],[])).
% 0.60/0.68 tff(63,axiom,(~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz11_7')).
% 0.60/0.68 tff(64,plain,
% 0.60/0.68 (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.60/0.68 tff(65,plain,
% 0.60/0.68 (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[64, 62])).
% 0.60/0.68 tff(66,plain,
% 0.60/0.68 (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[65, 62])).
% 0.60/0.68 tff(67,plain,
% 0.60/0.68 (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.60/0.68 tff(68,plain,
% 0.60/0.68 (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[67, 62])).
% 0.60/0.68 tff(69,plain,
% 0.60/0.68 (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[68, 62])).
% 0.60/0.68 tff(70,plain,
% 0.60/0.68 (~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i] : ((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | congruent(Xd, Xe, Xf, Xa, Xb, Xc))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[69, 62])).
% 0.60/0.68 tff(71,plain,(
% 0.60/0.68 ~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.60/0.68 inference(skolemize,[status(sab)],[70])).
% 0.60/0.68 tff(72,plain,
% 0.60/0.68 (congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)),
% 0.60/0.68 inference(or_elim,[status(thm)],[71])).
% 0.60/0.68 tff(73,plain,
% 0.60/0.68 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)),
% 0.60/0.68 inference(tautology,[status(thm)],[])).
% 0.60/0.68 tff(74,plain,
% 0.60/0.68 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.60/0.68 tff(75,plain,
% 0.60/0.68 (sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[74, 61])).
% 0.60/0.68 tff(76,plain,
% 0.60/0.68 ((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4))),
% 0.60/0.68 inference(tautology,[status(thm)],[])).
% 0.60/0.68 tff(77,plain,
% 0.60/0.68 ((~((~sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5)) | (~(Xa!5 = Xb!4)))) | (~(Xa!5 = Xb!4))),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.60/0.68 tff(78,plain,
% 0.60/0.68 (~(Xa!5 = Xb!4)),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[77, 44])).
% 0.60/0.68 tff(79,plain,
% 0.60/0.68 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))))))))),
% 0.60/0.68 inference(rewrite,[status(thm)],[])).
% 0.60/0.68 tff(80,plain,
% 0.60/0.68 ((~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~(s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0) | (~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))) | (Xf!0 = Xe!1) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))))) <=> (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)))))))),
% 0.60/0.68 inference(rewrite,[status(thm)],[])).
% 0.60/0.68 tff(81,plain,
% 0.60/0.68 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~(s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0) | (~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))) | (Xf!0 = Xe!1) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))))))))),
% 0.60/0.68 inference(monotonicity,[status(thm)],[80])).
% 0.60/0.68 tff(82,plain,
% 0.60/0.68 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~(s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0) | (~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))) | (Xf!0 = Xe!1) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))))))))),
% 0.60/0.69 inference(transitivity,[status(thm)],[81, 79])).
% 0.60/0.69 tff(83,plain,
% 0.60/0.69 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~(s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0) | (~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1))) | (~((ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))) | (Xf!0 = Xe!1) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)))))),
% 0.60/0.69 inference(quant_inst,[status(thm)],[])).
% 0.60/0.69 tff(84,plain,
% 0.60/0.69 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)))))))),
% 0.60/0.69 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.60/0.69 tff(85,plain,
% 0.60/0.69 (~((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3))))))),
% 0.60/0.69 inference(unit_resolution,[status(thm)],[84, 35])).
% 0.60/0.69 tff(86,plain,
% 0.60/0.69 (((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)) | s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (xb = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3), Xf!0)))) | (~(sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0) | (Xf!0 = Xe!1) | (ext(Xe!1, Xf!0, Xb!4, Xc!3) = Xe!1) | (~s_t(Xe!1, Xf!0, ext(Xe!1, Xf!0, Xb!4, Xc!3)))))) | ((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))),
% 0.60/0.69 inference(tautology,[status(thm)],[])).
% 0.60/0.69 tff(87,plain,
% 0.60/0.69 ((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1))),
% 0.60/0.69 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.60/0.69 tff(88,plain,
% 0.60/0.69 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | s_e3(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))),
% 0.60/0.69 inference(tautology,[status(thm)],[])).
% 0.60/0.69 tff(89,plain,
% 0.60/0.69 ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.60/0.69 inference(unit_resolution,[status(thm)],[88, 59])).
% 0.60/0.69 tff(90,plain,
% 0.60/0.69 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.60/0.69 inference(tautology,[status(thm)],[])).
% 0.60/0.69 tff(91,plain,
% 0.60/0.69 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.60/0.69 inference(unit_resolution,[status(thm)],[90, 72])).
% 0.60/0.69 tff(92,plain,
% 0.60/0.69 (sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.60/0.69 inference(unit_resolution,[status(thm)],[91, 89])).
% 0.60/0.69 tff(93,plain,
% 0.60/0.69 ((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1))),
% 0.60/0.69 inference(tautology,[status(thm)],[])).
% 0.60/0.69 tff(94,plain,
% 0.60/0.69 ((~((~sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0)) | (~(Xf!0 = Xe!1)))) | (~(Xf!0 = Xe!1))),
% 0.60/0.69 inference(unit_resolution,[status(thm)],[93, 92])).
% 0.60/0.69 tff(95,plain,
% 0.60/0.69 (~(Xf!0 = Xe!1)),
% 0.60/0.69 inference(unit_resolution,[status(thm)],[94, 87])).
% 0.60/0.69 tff(96,plain,
% 0.60/0.69 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))))))))),
% 0.60/0.70 inference(rewrite,[status(thm)],[])).
% 0.60/0.70 tff(97,plain,
% 0.60/0.70 ((~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~(s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2) | (~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (xb = Xe!1))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))) | (Xd!2 = Xe!1) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))))) <=> (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)))))))),
% 0.60/0.70 inference(rewrite,[status(thm)],[])).
% 0.60/0.70 tff(98,plain,
% 0.60/0.70 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~(s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2) | (~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (xb = Xe!1))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))) | (Xd!2 = Xe!1) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))))))))),
% 0.60/0.70 inference(monotonicity,[status(thm)],[97])).
% 0.60/0.70 tff(99,plain,
% 0.60/0.70 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~(s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2) | (~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (xb = Xe!1))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))) | (Xd!2 = Xe!1) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))))))))),
% 0.60/0.70 inference(transitivity,[status(thm)],[98, 96])).
% 0.60/0.70 tff(100,plain,
% 0.60/0.70 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~(s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2) | (~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (xb = Xe!1))) | (~((ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))) | (Xd!2 = Xe!1) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)))))),
% 0.60/0.70 inference(quant_inst,[status(thm)],[])).
% 0.60/0.70 tff(101,plain,
% 0.60/0.70 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)))))))),
% 0.66/0.70 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.66/0.70 tff(102,plain,
% 0.66/0.70 (~((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5))))))),
% 0.66/0.70 inference(unit_resolution,[status(thm)],[101, 35])).
% 0.66/0.70 tff(103,plain,
% 0.66/0.70 (((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)) | s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, ext(Xe!1, Xd!2, Xb!4, Xa!5), Xd!2)) | (xb = Xe!1))) | (~(sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2) | (Xd!2 = Xe!1) | (ext(Xe!1, Xd!2, Xb!4, Xa!5) = Xe!1) | (~s_t(Xe!1, Xd!2, ext(Xe!1, Xd!2, Xb!4, Xa!5)))))) | ((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))),
% 0.66/0.70 inference(tautology,[status(thm)],[])).
% 0.66/0.70 tff(104,plain,
% 0.66/0.70 ((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1))),
% 0.66/0.70 inference(unit_resolution,[status(thm)],[103, 102])).
% 0.66/0.70 tff(105,plain,
% 0.66/0.70 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | s_e3(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))),
% 0.66/0.70 inference(tautology,[status(thm)],[])).
% 0.66/0.70 tff(106,plain,
% 0.66/0.70 ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)),
% 0.66/0.70 inference(unit_resolution,[status(thm)],[105, 59])).
% 0.66/0.70 tff(107,plain,
% 0.66/0.70 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)),
% 0.66/0.70 inference(tautology,[status(thm)],[])).
% 0.66/0.70 tff(108,plain,
% 0.66/0.70 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)),
% 0.66/0.70 inference(unit_resolution,[status(thm)],[107, 72])).
% 0.66/0.70 tff(109,plain,
% 0.66/0.70 (sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)),
% 0.66/0.70 inference(unit_resolution,[status(thm)],[108, 106])).
% 0.66/0.70 tff(110,plain,
% 0.66/0.70 ((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1))),
% 0.66/0.70 inference(tautology,[status(thm)],[])).
% 0.66/0.70 tff(111,plain,
% 0.66/0.70 ((~((~sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2)) | (~(Xd!2 = Xe!1)))) | (~(Xd!2 = Xe!1))),
% 0.66/0.71 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.66/0.71 tff(112,plain,
% 0.66/0.71 (~(Xd!2 = Xe!1)),
% 0.66/0.71 inference(unit_resolution,[status(thm)],[111, 104])).
% 0.66/0.71 tff(113,plain,
% 0.66/0.71 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)))))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))))))))),
% 0.66/0.71 inference(rewrite,[status(thm)],[])).
% 0.66/0.71 tff(114,plain,
% 0.66/0.71 ((~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))))) <=> (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)))))))),
% 0.66/0.71 inference(rewrite,[status(thm)],[])).
% 0.66/0.71 tff(115,plain,
% 0.66/0.71 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))))))))),
% 0.66/0.71 inference(monotonicity,[status(thm)],[114])).
% 0.66/0.71 tff(116,plain,
% 0.66/0.71 (((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)))))) <=> ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))))))))),
% 0.66/0.71 inference(transitivity,[status(thm)],[115, 113])).
% 0.66/0.71 tff(117,plain,
% 0.66/0.71 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3) | (~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4))) | (~((ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))) | (Xc!3 = Xb!4) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)))))),
% 0.66/0.71 inference(quant_inst,[status(thm)],[])).
% 0.66/0.71 tff(118,plain,
% 0.66/0.71 ((~![Xa: $i, Xp: $i, Xb: $i] : (~((~((~sameside(Xa, Xp, Xb)) | (~(Xa = Xp)))) | (~((~sameside(Xa, Xp, Xb)) | (~(Xb = Xp)))) | (~(s_t(Xp, Xb, Xa) | s_t(Xp, Xa, Xb) | (~sameside(Xa, Xp, Xb)))) | (~((Xa = Xp) | (~s_t(Xp, Xa, Xb)) | sameside(Xa, Xp, Xb) | (xb = Xp))) | (~((Xa = Xp) | (~s_t(Xp, Xb, Xa)) | (Xb = Xp) | sameside(Xa, Xp, Xb)))))) | (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)))))))),
% 0.66/0.71 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.66/0.71 tff(119,plain,
% 0.66/0.71 (~((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0))))))),
% 0.66/0.71 inference(unit_resolution,[status(thm)],[118, 35])).
% 0.66/0.71 tff(120,plain,
% 0.66/0.71 (((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)) | s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (xb = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), Xc!3)))) | (~(sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3) | (Xc!3 = Xb!4) | (ext(Xb!4, Xc!3, Xe!1, Xf!0) = Xb!4) | (~s_t(Xb!4, Xc!3, ext(Xb!4, Xc!3, Xe!1, Xf!0)))))) | ((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))),
% 0.66/0.71 inference(tautology,[status(thm)],[])).
% 0.66/0.71 tff(121,plain,
% 0.66/0.71 ((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4))),
% 0.66/0.71 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.66/0.71 tff(122,plain,
% 0.66/0.71 (((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, Xa!5))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, Xd!2))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xe!1, Xf!0, Xb!4, Xc!3), Xe!1, Xf!0))) | (~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | s_e3(ext(Xb!4, Xa!5, Xe!1, Xd!2), Xb!4, ext(Xb!4, Xc!3, Xe!1, Xf!0), ext(Xe!1, Xd!2, Xb!4, Xa!5), Xe!1, ext(Xe!1, Xf!0, Xb!4, Xc!3))))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))),
% 0.66/0.72 inference(tautology,[status(thm)],[])).
% 0.66/0.72 tff(123,plain,
% 0.66/0.72 ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[122, 59])).
% 0.66/0.72 tff(124,plain,
% 0.66/0.72 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)),
% 0.66/0.72 inference(tautology,[status(thm)],[])).
% 0.66/0.72 tff(125,plain,
% 0.66/0.72 ((~((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3))) | sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[124, 72])).
% 0.66/0.72 tff(126,plain,
% 0.66/0.72 (sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[125, 123])).
% 0.66/0.72 tff(127,plain,
% 0.66/0.72 ((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4))),
% 0.66/0.72 inference(tautology,[status(thm)],[])).
% 0.66/0.72 tff(128,plain,
% 0.66/0.72 ((~((~sameside(ext(Xb!4, Xc!3, Xe!1, Xf!0), Xb!4, Xc!3)) | (~(Xc!3 = Xb!4)))) | (~(Xc!3 = Xb!4))),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.66/0.72 tff(129,plain,
% 0.66/0.72 (~(Xc!3 = Xb!4)),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[128, 121])).
% 0.66/0.72 tff(130,plain,
% 0.66/0.72 (~congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)),
% 0.66/0.72 inference(or_elim,[status(thm)],[71])).
% 0.66/0.72 tff(131,plain,
% 0.66/0.72 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.72 inference(tautology,[status(thm)],[])).
% 0.66/0.72 tff(132,plain,
% 0.66/0.72 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[131, 130])).
% 0.66/0.72 tff(133,plain,
% 0.66/0.72 (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[132, 129, 112, 95, 78, 22])).
% 0.66/0.72 tff(134,plain,
% 0.66/0.72 (^[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)))),
% 0.66/0.72 inference(bind,[status(th)],[])).
% 0.66/0.72 tff(135,plain,
% 0.66/0.72 (![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))),
% 0.66/0.72 inference(quant_intro,[status(thm)],[134])).
% 0.66/0.72 tff(136,plain,
% 0.66/0.72 (![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))),
% 0.66/0.72 inference(rewrite,[status(thm)],[])).
% 0.66/0.72 tff(137,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')).
% 0.66/0.72 tff(138,plain,
% 0.66/0.72 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 0.66/0.72 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.66/0.72 tff(139,plain,(
% 0.66/0.72 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 0.66/0.72 inference(skolemize,[status(sab)],[138])).
% 0.66/0.72 tff(140,plain,
% 0.66/0.72 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))),
% 0.66/0.72 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.66/0.72 tff(141,plain,
% 0.66/0.72 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.72 inference(rewrite,[status(thm)],[])).
% 0.66/0.72 tff(142,plain,
% 0.66/0.72 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.72 inference(quant_inst,[status(thm)],[])).
% 0.66/0.72 tff(143,plain,
% 0.66/0.72 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.72 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.66/0.72 tff(144,plain,
% 0.66/0.72 (~s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.72 inference(unit_resolution,[status(thm)],[143, 140, 133])).
% 0.66/0.72 tff(145,plain,
% 0.66/0.72 (((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))) | (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.73 inference(tautology,[status(thm)],[])).
% 0.66/0.73 tff(146,plain,
% 0.66/0.73 (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[145, 20])).
% 0.66/0.73 tff(147,plain,
% 0.66/0.73 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(tautology,[status(thm)],[])).
% 0.66/0.73 tff(148,plain,
% 0.66/0.73 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[147, 130])).
% 0.66/0.73 tff(149,plain,
% 0.66/0.73 (s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[148, 129, 112, 95, 78, 146])).
% 0.66/0.73 tff(150,plain,
% 0.66/0.73 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.73 inference(rewrite,[status(thm)],[])).
% 0.66/0.73 tff(151,plain,
% 0.66/0.73 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.73 inference(quant_inst,[status(thm)],[])).
% 0.66/0.73 tff(152,plain,
% 0.66/0.73 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.66/0.73 tff(153,plain,
% 0.66/0.73 (s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[152, 140, 149])).
% 0.66/0.73 tff(154,plain,
% 0.66/0.73 (((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))) | (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.73 inference(tautology,[status(thm)],[])).
% 0.66/0.73 tff(155,plain,
% 0.66/0.73 (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[154, 20])).
% 0.66/0.73 tff(156,plain,
% 0.66/0.73 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(tautology,[status(thm)],[])).
% 0.66/0.73 tff(157,plain,
% 0.66/0.73 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[156, 130])).
% 0.66/0.73 tff(158,plain,
% 0.66/0.73 (s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[157, 129, 112, 95, 78, 155])).
% 0.66/0.73 tff(159,plain,
% 0.66/0.73 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.73 inference(rewrite,[status(thm)],[])).
% 0.66/0.73 tff(160,plain,
% 0.66/0.73 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | ((~s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.66/0.73 inference(quant_inst,[status(thm)],[])).
% 0.66/0.73 tff(161,plain,
% 0.66/0.73 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i] : ((~s_e(Xa, Xb, Xc, Xd)) | s_e(Xc, Xd, Xa, Xb))) | (~s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.66/0.73 tff(162,plain,
% 0.66/0.73 (s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))),
% 0.66/0.73 inference(unit_resolution,[status(thm)],[161, 140, 158])).
% 0.66/0.74 tff(163,plain,
% 0.66/0.74 (((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))) | (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))),
% 0.66/0.74 inference(tautology,[status(thm)],[])).
% 0.66/0.74 tff(164,plain,
% 0.66/0.74 (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)),
% 0.66/0.74 inference(unit_resolution,[status(thm)],[163, 20])).
% 0.66/0.74 tff(165,plain,
% 0.66/0.74 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)),
% 0.66/0.74 inference(tautology,[status(thm)],[])).
% 0.66/0.74 tff(166,plain,
% 0.66/0.74 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)),
% 0.66/0.74 inference(unit_resolution,[status(thm)],[165, 130])).
% 0.66/0.74 tff(167,plain,
% 0.66/0.74 (sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)),
% 0.66/0.74 inference(unit_resolution,[status(thm)],[166, 129, 112, 95, 78, 164])).
% 0.66/0.74 tff(168,plain,
% 0.66/0.74 (((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))) | (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))),
% 0.66/0.74 inference(tautology,[status(thm)],[])).
% 0.66/0.74 tff(169,plain,
% 0.66/0.74 (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)),
% 0.66/0.74 inference(unit_resolution,[status(thm)],[168, 20])).
% 0.66/0.74 tff(170,plain,
% 0.66/0.74 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)),
% 0.66/0.74 inference(tautology,[status(thm)],[])).
% 0.66/0.74 tff(171,plain,
% 0.66/0.74 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)),
% 0.66/0.74 inference(unit_resolution,[status(thm)],[170, 130])).
% 0.66/0.74 tff(172,plain,
% 0.66/0.74 (sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)),
% 0.66/0.74 inference(unit_resolution,[status(thm)],[171, 129, 112, 95, 78, 169])).
% 0.66/0.74 tff(173,plain,
% 0.66/0.74 (((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))) | (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))),
% 0.66/0.74 inference(tautology,[status(thm)],[])).
% 0.66/0.74 tff(174,plain,
% 0.66/0.74 (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.66/0.74 inference(unit_resolution,[status(thm)],[173, 20])).
% 0.66/0.74 tff(175,plain,
% 0.66/0.74 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.66/0.75 inference(tautology,[status(thm)],[])).
% 0.66/0.75 tff(176,plain,
% 0.66/0.75 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.66/0.75 inference(unit_resolution,[status(thm)],[175, 130])).
% 0.66/0.75 tff(177,plain,
% 0.66/0.75 (sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)),
% 0.66/0.75 inference(unit_resolution,[status(thm)],[176, 129, 112, 95, 78, 174])).
% 0.66/0.75 tff(178,plain,
% 0.66/0.75 (((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | s_e(Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))) | (~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | (~s_e(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))) | (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))),
% 0.66/0.75 inference(tautology,[status(thm)],[])).
% 0.66/0.75 tff(179,plain,
% 0.66/0.75 (congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)),
% 0.66/0.75 inference(unit_resolution,[status(thm)],[178, 20])).
% 0.66/0.75 tff(180,plain,
% 0.66/0.75 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)),
% 0.66/0.75 inference(tautology,[status(thm)],[])).
% 0.66/0.75 tff(181,plain,
% 0.66/0.75 ((~(congruent(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2))) | (Xa!5 = Xb!4) | (Xc!3 = Xb!4) | (Xd!2 = Xe!1) | (Xf!0 = Xe!1) | sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)),
% 0.66/0.75 inference(unit_resolution,[status(thm)],[180, 130])).
% 0.66/0.75 tff(182,plain,
% 0.66/0.75 (sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)),
% 0.66/0.75 inference(unit_resolution,[status(thm)],[181, 129, 112, 95, 78, 179])).
% 0.66/0.75 tff(183,plain,
% 0.66/0.75 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : refl((s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))))),
% 0.66/0.75 inference(bind,[status(th)],[])).
% 0.66/0.75 tff(184,plain,
% 0.66/0.75 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))),
% 0.66/0.75 inference(quant_intro,[status(thm)],[183])).
% 0.66/0.75 tff(185,plain,
% 0.66/0.75 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))),
% 0.66/0.75 inference(rewrite,[status(thm)],[])).
% 0.66/0.75 tff(186,plain,
% 0.66/0.75 (^[Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) <=> ((~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) <=> (((~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~sameside(Xc2, Xb, Xc))))), rewrite((((~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~sameside(Xc2, Xb, Xc))) <=> ((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) <=> ((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) <=> (((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~sameside(Xd2, Xe, Xd))))), rewrite((((~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~sameside(Xd2, Xe, Xd))) <=> ((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), (((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) <=> ((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))))), ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) <=> (((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~sameside(Xf2, Xe, Xf))))), rewrite((((~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~sameside(Xf2, Xe, Xf))) <=> ((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) <=> ((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) <=> (((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))))), rewrite((((~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) <=> ((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), (((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) <=> ((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))))), ((((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) <=> (((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~s_e(Xb, Xc2, Xe, Xf2))))), rewrite((((~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | (~s_e(Xb, Xc2, Xe, Xf2))) <=> ((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), ((((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) <=> ((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))))), (((((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> (((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | s_e(Xa2, Xc2, Xd2, Xf2)))), rewrite((((~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))), (((((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))))),
% 0.66/0.75 inference(bind,[status(th)],[])).
% 0.66/0.75 tff(187,plain,
% 0.66/0.75 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : ((((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2)) <=> ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))),
% 0.66/0.75 inference(quant_intro,[status(thm)],[186])).
% 0.66/0.75 tff(188,axiom,(![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : ((((((((~congruent(Xa, Xb, Xc, Xd, Xe, Xf)) | (~sameside(Xa2, Xb, Xa))) | (~sameside(Xc2, Xb, Xc))) | (~sameside(Xd2, Xe, Xd))) | (~sameside(Xf2, Xe, Xf))) | (~s_e(Xb, Xa2, Xe, Xd2))) | (~s_e(Xb, Xc2, Xe, Xf2))) | s_e(Xa2, Xc2, Xd2, Xf2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aSatz11_4')).
% 0.66/0.75 tff(189,plain,
% 0.66/0.75 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))),
% 0.66/0.75 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.66/0.75 tff(190,plain,
% 0.66/0.75 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))),
% 0.66/0.75 inference(modus_ponens,[status(thm)],[189, 185])).
% 0.66/0.75 tff(191,plain,(
% 0.66/0.75 ![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))),
% 0.66/0.75 inference(skolemize,[status(sab)],[190])).
% 0.66/0.75 tff(192,plain,
% 0.66/0.75 (![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))),
% 0.66/0.75 inference(modus_ponens,[status(thm)],[191, 184])).
% 0.66/0.75 tff(193,plain,
% 0.66/0.75 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))),
% 0.66/0.75 inference(rewrite,[status(thm)],[])).
% 0.66/0.75 tff(194,plain,
% 0.66/0.75 ((s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0))) <=> ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))),
% 0.66/0.75 inference(rewrite,[status(thm)],[])).
% 0.66/0.75 tff(195,plain,
% 0.66/0.75 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | (s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | ((~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))))),
% 0.66/0.76 inference(monotonicity,[status(thm)],[194])).
% 0.66/0.76 tff(196,plain,
% 0.66/0.76 (((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | (s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)))) <=> ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))))),
% 0.66/0.76 inference(transitivity,[status(thm)],[195, 193])).
% 0.66/0.76 tff(197,plain,
% 0.66/0.76 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | (s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)))),
% 0.66/0.76 inference(quant_inst,[status(thm)],[])).
% 0.66/0.76 tff(198,plain,
% 0.66/0.76 ((~![Xa: $i, Xb: $i, Xc: $i, Xd: $i, Xe: $i, Xf: $i, Xa2: $i, Xc2: $i, Xd2: $i, Xf2: $i] : (s_e(Xa2, Xc2, Xd2, Xf2) | (~s_e(Xb, Xc2, Xe, Xf2)) | (~s_e(Xb, Xa2, Xe, Xd2)) | (~sameside(Xf2, Xe, Xf)) | (~sameside(Xd2, Xe, Xd)) | (~sameside(Xc2, Xb, Xc)) | (~sameside(Xa2, Xb, Xa)) | (~congruent(Xa, Xb, Xc, Xd, Xe, Xf)))) | (~congruent(Xa!5, Xb!4, Xc!3, Xd!2, Xe!1, Xf!0)) | (~sameside(f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xd!2)) | (~sameside(f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, Xf!0)) | (~sameside(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xa!5)) | (~sameside(f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xb!4, Xc!3)) | s_e(f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)) | (~s_e(Xb!4, f113f(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113c(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3))) | (~s_e(Xb!4, f113d(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3), Xe!1, f113a(Xd!2, Xe!1, Xf!0, Xa!5, Xb!4, Xc!3)))),
% 0.72/0.77 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.72/0.77 tff(199,plain,
% 0.72/0.77 ($false),
% 0.72/0.77 inference(unit_resolution,[status(thm)],[198, 192, 72, 182, 177, 172, 167, 162, 153, 144])).
% 0.72/0.77 % SZS output end Proof
%------------------------------------------------------------------------------