%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GEO287+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n009.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 20:36:15 EDT 2022

% Result   : Theorem 115.11s 74.33s
% Output   : Proof 115.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO287+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Aug 31 07:23:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 115.11/74.33  % SZS status Theorem
% 115.11/74.33  % SZS output start Proof
% 115.11/74.33  tff(tptp_fun_Vd1162_3_type, type, (
% 115.11/74.33     tptp_fun_Vd1162_3: $i)).
% 115.11/74.33  tff(rpoint_type, type, (
% 115.11/74.33     rpoint: $i > $o)).
% 115.11/74.33  tff(tptp_fun_Vd1161_4_type, type, (
% 115.11/74.33     tptp_fun_Vd1161_4: $i)).
% 115.11/74.33  tff(vd1157_type, type, (
% 115.11/74.33     vd1157: $i)).
% 115.11/74.33  tff(vd1158_type, type, (
% 115.11/74.33     vd1158: $i)).
% 115.11/74.33  tff(vd1156_type, type, (
% 115.11/74.33     vd1156: $i)).
% 115.11/74.33  tff(vd1163_type, type, (
% 115.11/74.33     vd1163: $i)).
% 115.11/74.33  tff(vd1164_type, type, (
% 115.11/74.33     vd1164: $i)).
% 115.11/74.33  tff(vd1165_type, type, (
% 115.11/74.33     vd1165: $i)).
% 115.11/74.33  tff(vf_type, type, (
% 115.11/74.33     vf: ( $i * $i ) > $i)).
% 115.11/74.33  tff(vangle_type, type, (
% 115.11/74.33     vangle: ( $i * $i * $i ) > $i)).
% 115.11/74.33  tff(rline_type, type, (
% 115.11/74.33     rline: $i > $o)).
% 115.11/74.33  tff(ron_type, type, (
% 115.11/74.33     ron: ( $i * $i ) > $o)).
% 115.11/74.33  tff(tptp_fun_Vd1168_1_type, type, (
% 115.11/74.33     tptp_fun_Vd1168_1: $i)).
% 115.11/74.33  tff(tptp_fun_Vd1160_5_type, type, (
% 115.11/74.33     tptp_fun_Vd1160_5: $i)).
% 115.11/74.33  tff(tptp_fun_Vd1167_2_type, type, (
% 115.11/74.33     tptp_fun_Vd1167_2: $i)).
% 115.11/74.33  tff(tptp_fun_Vd1169_0_type, type, (
% 115.11/74.33     tptp_fun_Vd1169_0: $i)).
% 115.11/74.33  tff(tptp_fun_Vd1195_6_type, type, (
% 115.11/74.33     tptp_fun_Vd1195_6: ( $i * $i * $i ) > $i)).
% 115.11/74.33  tff(1,assumption,(![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))), introduced(assumption)).
% 115.11/74.33  tff(2,plain,
% 115.11/74.33      (?[Vd1161: $i] : ((vd1157 = Vd1161) & rpoint(Vd1161)) <=> ?[Vd1161: $i] : ((vd1157 = Vd1161) & rpoint(Vd1161))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(3,axiom,(((((((((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))) & ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))) & (~(vd1157 = vd1158))) & (~(vd1156 = vd1158))) & (~(vd1156 = vd1157))) & ?[Vd1162: $i] : ((vd1158 = Vd1162) & rpoint(Vd1162))) & ?[Vd1161: $i] : ((vd1157 = Vd1161) & rpoint(Vd1161))) & ?[Vd1160: $i] : ((vd1156 = Vd1160) & rpoint(Vd1160))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))'')).
% 115.11/74.33  tff(4,plain,
% 115.11/74.33      ((((((((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))) & ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))) & (~(vd1157 = vd1158))) & (~(vd1156 = vd1158))) & (~(vd1156 = vd1157))) & ?[Vd1162: $i] : ((vd1158 = Vd1162) & rpoint(Vd1162))) & ?[Vd1161: $i] : ((vd1157 = Vd1161) & rpoint(Vd1161))),
% 115.11/74.33      inference(and_elim,[status(thm)],[3])).
% 115.11/74.33  tff(5,plain,
% 115.11/74.33      (?[Vd1161: $i] : ((vd1157 = Vd1161) & rpoint(Vd1161))),
% 115.11/74.33      inference(and_elim,[status(thm)],[4])).
% 115.11/74.33  tff(6,plain,
% 115.11/74.33      (?[Vd1161: $i] : ((vd1157 = Vd1161) & rpoint(Vd1161))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[5, 2])).
% 115.11/74.33  tff(7,plain,(
% 115.11/74.33      (vd1157 = Vd1161!4) & rpoint(Vd1161!4)),
% 115.11/74.33      inference(skolemize,[status(sab)],[6])).
% 115.11/74.33  tff(8,plain,
% 115.11/74.33      (rpoint(Vd1161!4)),
% 115.11/74.33      inference(and_elim,[status(thm)],[7])).
% 115.11/74.33  tff(9,plain,
% 115.11/74.33      (((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | (~rpoint(Vd1161!4))) <=> ((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | (~rpoint(Vd1161!4)))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(10,plain,
% 115.11/74.33      (((~rpoint(Vd1161!4)) | $false) <=> (~rpoint(Vd1161!4))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(11,plain,
% 115.11/74.33      ((~$true) <=> $false),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(12,plain,
% 115.11/74.33      ((Vd1161!4 = Vd1161!4) <=> $true),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(13,plain,
% 115.11/74.33      ((~(Vd1161!4 = Vd1161!4)) <=> (~$true)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[12])).
% 115.11/74.33  tff(14,plain,
% 115.11/74.33      ((~(Vd1161!4 = Vd1161!4)) <=> $false),
% 115.11/74.33      inference(transitivity,[status(thm)],[13, 11])).
% 115.11/74.33  tff(15,plain,
% 115.11/74.33      (((~rpoint(Vd1161!4)) | (~(Vd1161!4 = Vd1161!4))) <=> ((~rpoint(Vd1161!4)) | $false)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[14])).
% 115.11/74.33  tff(16,plain,
% 115.11/74.33      (((~rpoint(Vd1161!4)) | (~(Vd1161!4 = Vd1161!4))) <=> (~rpoint(Vd1161!4))),
% 115.11/74.33      inference(transitivity,[status(thm)],[15, 10])).
% 115.11/74.33  tff(17,plain,
% 115.11/74.33      (((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | ((~rpoint(Vd1161!4)) | (~(Vd1161!4 = Vd1161!4)))) <=> ((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | (~rpoint(Vd1161!4)))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[16])).
% 115.11/74.33  tff(18,plain,
% 115.11/74.33      (((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | ((~rpoint(Vd1161!4)) | (~(Vd1161!4 = Vd1161!4)))) <=> ((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | (~rpoint(Vd1161!4)))),
% 115.11/74.33      inference(transitivity,[status(thm)],[17, 9])).
% 115.11/74.33  tff(19,plain,
% 115.11/74.33      ((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | ((~rpoint(Vd1161!4)) | (~(Vd1161!4 = Vd1161!4)))),
% 115.11/74.33      inference(quant_inst,[status(thm)],[])).
% 115.11/74.33  tff(20,plain,
% 115.11/74.33      ((~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))) | (~rpoint(Vd1161!4))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[19, 18])).
% 115.11/74.33  tff(21,plain,
% 115.11/74.33      ($false),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[20, 8, 1])).
% 115.11/74.33  tff(22,plain,(~![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))), inference(lemma,lemma(discharge,[]))).
% 115.11/74.33  tff(23,assumption,(![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))), introduced(assumption)).
% 115.11/74.33  tff(24,plain,
% 115.11/74.33      (?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168)) <=> ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(25,plain,
% 115.11/74.33      (((((((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))) & ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))) & (~(vd1157 = vd1158))) & (~(vd1156 = vd1158))) & (~(vd1156 = vd1157))) & ?[Vd1162: $i] : ((vd1158 = Vd1162) & rpoint(Vd1162))),
% 115.11/74.33      inference(and_elim,[status(thm)],[4])).
% 115.11/74.33  tff(26,plain,
% 115.11/74.33      ((((((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))) & ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))) & (~(vd1157 = vd1158))) & (~(vd1156 = vd1158))) & (~(vd1156 = vd1157))),
% 115.11/74.33      inference(and_elim,[status(thm)],[25])).
% 115.11/74.33  tff(27,plain,
% 115.11/74.33      (((((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))) & ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))) & (~(vd1157 = vd1158))) & (~(vd1156 = vd1158))),
% 115.11/74.33      inference(and_elim,[status(thm)],[26])).
% 115.11/74.33  tff(28,plain,
% 115.11/74.33      ((((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))) & ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))) & (~(vd1157 = vd1158))),
% 115.11/74.33      inference(and_elim,[status(thm)],[27])).
% 115.11/74.33  tff(29,plain,
% 115.11/74.33      (((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))) & ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))),
% 115.11/74.33      inference(and_elim,[status(thm)],[28])).
% 115.11/74.33  tff(30,plain,
% 115.11/74.33      ((((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))) & ?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))),
% 115.11/74.33      inference(and_elim,[status(thm)],[29])).
% 115.11/74.33  tff(31,plain,
% 115.11/74.33      (?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))),
% 115.11/74.33      inference(and_elim,[status(thm)],[30])).
% 115.11/74.33  tff(32,plain,
% 115.11/74.33      (?[Vd1168: $i] : ((vd1164 = Vd1168) & rpoint(Vd1168))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[31, 24])).
% 115.11/74.33  tff(33,plain,(
% 115.11/74.33      (vd1164 = Vd1168!1) & rpoint(Vd1168!1)),
% 115.11/74.33      inference(skolemize,[status(sab)],[32])).
% 115.11/74.33  tff(34,plain,
% 115.11/74.33      (rpoint(Vd1168!1)),
% 115.11/74.33      inference(and_elim,[status(thm)],[33])).
% 115.11/74.33  tff(35,plain,
% 115.11/74.33      (((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | (~rpoint(Vd1168!1))) <=> ((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | (~rpoint(Vd1168!1)))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(36,plain,
% 115.11/74.33      (((~rpoint(Vd1168!1)) | $false) <=> (~rpoint(Vd1168!1))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(37,plain,
% 115.11/74.33      ((Vd1168!1 = Vd1168!1) <=> $true),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(38,plain,
% 115.11/74.33      ((~(Vd1168!1 = Vd1168!1)) <=> (~$true)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[37])).
% 115.11/74.33  tff(39,plain,
% 115.11/74.33      ((~(Vd1168!1 = Vd1168!1)) <=> $false),
% 115.11/74.33      inference(transitivity,[status(thm)],[38, 11])).
% 115.11/74.33  tff(40,plain,
% 115.11/74.33      (((~rpoint(Vd1168!1)) | (~(Vd1168!1 = Vd1168!1))) <=> ((~rpoint(Vd1168!1)) | $false)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[39])).
% 115.11/74.33  tff(41,plain,
% 115.11/74.33      (((~rpoint(Vd1168!1)) | (~(Vd1168!1 = Vd1168!1))) <=> (~rpoint(Vd1168!1))),
% 115.11/74.33      inference(transitivity,[status(thm)],[40, 36])).
% 115.11/74.33  tff(42,plain,
% 115.11/74.33      (((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | ((~rpoint(Vd1168!1)) | (~(Vd1168!1 = Vd1168!1)))) <=> ((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | (~rpoint(Vd1168!1)))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[41])).
% 115.11/74.33  tff(43,plain,
% 115.11/74.33      (((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | ((~rpoint(Vd1168!1)) | (~(Vd1168!1 = Vd1168!1)))) <=> ((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | (~rpoint(Vd1168!1)))),
% 115.11/74.33      inference(transitivity,[status(thm)],[42, 35])).
% 115.11/74.33  tff(44,plain,
% 115.11/74.33      ((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | ((~rpoint(Vd1168!1)) | (~(Vd1168!1 = Vd1168!1)))),
% 115.11/74.33      inference(quant_inst,[status(thm)],[])).
% 115.11/74.33  tff(45,plain,
% 115.11/74.33      ((~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))) | (~rpoint(Vd1168!1))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[44, 43])).
% 115.11/74.33  tff(46,plain,
% 115.11/74.33      ($false),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[45, 34, 23])).
% 115.11/74.33  tff(47,plain,(~![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))), inference(lemma,lemma(discharge,[]))).
% 115.11/74.33  tff(48,assumption,(![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))), introduced(assumption)).
% 115.11/74.33  tff(49,plain,
% 115.11/74.33      (?[Vd1160: $i] : ((vd1156 = Vd1160) & rpoint(Vd1160)) <=> ?[Vd1160: $i] : ((vd1156 = Vd1160) & rpoint(Vd1160))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(50,plain,
% 115.11/74.33      (?[Vd1160: $i] : ((vd1156 = Vd1160) & rpoint(Vd1160))),
% 115.11/74.33      inference(and_elim,[status(thm)],[3])).
% 115.11/74.33  tff(51,plain,
% 115.11/74.33      (?[Vd1160: $i] : ((vd1156 = Vd1160) & rpoint(Vd1160))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[50, 49])).
% 115.11/74.33  tff(52,plain,(
% 115.11/74.33      (vd1156 = Vd1160!5) & rpoint(Vd1160!5)),
% 115.11/74.33      inference(skolemize,[status(sab)],[51])).
% 115.11/74.33  tff(53,plain,
% 115.11/74.33      (rpoint(Vd1160!5)),
% 115.11/74.33      inference(and_elim,[status(thm)],[52])).
% 115.11/74.33  tff(54,plain,
% 115.11/74.33      (((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | (~rpoint(Vd1160!5))) <=> ((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | (~rpoint(Vd1160!5)))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(55,plain,
% 115.11/74.33      (((~rpoint(Vd1160!5)) | $false) <=> (~rpoint(Vd1160!5))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(56,plain,
% 115.11/74.33      ((Vd1160!5 = Vd1160!5) <=> $true),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(57,plain,
% 115.11/74.33      ((~(Vd1160!5 = Vd1160!5)) <=> (~$true)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[56])).
% 115.11/74.33  tff(58,plain,
% 115.11/74.33      ((~(Vd1160!5 = Vd1160!5)) <=> $false),
% 115.11/74.33      inference(transitivity,[status(thm)],[57, 11])).
% 115.11/74.33  tff(59,plain,
% 115.11/74.33      (((~rpoint(Vd1160!5)) | (~(Vd1160!5 = Vd1160!5))) <=> ((~rpoint(Vd1160!5)) | $false)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[58])).
% 115.11/74.33  tff(60,plain,
% 115.11/74.33      (((~rpoint(Vd1160!5)) | (~(Vd1160!5 = Vd1160!5))) <=> (~rpoint(Vd1160!5))),
% 115.11/74.33      inference(transitivity,[status(thm)],[59, 55])).
% 115.11/74.33  tff(61,plain,
% 115.11/74.33      (((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | ((~rpoint(Vd1160!5)) | (~(Vd1160!5 = Vd1160!5)))) <=> ((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | (~rpoint(Vd1160!5)))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[60])).
% 115.11/74.33  tff(62,plain,
% 115.11/74.33      (((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | ((~rpoint(Vd1160!5)) | (~(Vd1160!5 = Vd1160!5)))) <=> ((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | (~rpoint(Vd1160!5)))),
% 115.11/74.33      inference(transitivity,[status(thm)],[61, 54])).
% 115.11/74.33  tff(63,plain,
% 115.11/74.33      ((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | ((~rpoint(Vd1160!5)) | (~(Vd1160!5 = Vd1160!5)))),
% 115.11/74.33      inference(quant_inst,[status(thm)],[])).
% 115.11/74.33  tff(64,plain,
% 115.11/74.33      ((~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) | (~rpoint(Vd1160!5))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[63, 62])).
% 115.11/74.33  tff(65,plain,
% 115.11/74.33      ($false),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[64, 53, 48])).
% 115.11/74.33  tff(66,plain,(~![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))), inference(lemma,lemma(discharge,[]))).
% 115.11/74.33  tff(67,assumption,(![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))), introduced(assumption)).
% 115.11/74.33  tff(68,plain,
% 115.11/74.33      (?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167)) <=> ?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(69,plain,
% 115.11/74.33      (?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))),
% 115.11/74.33      inference(and_elim,[status(thm)],[29])).
% 115.11/74.33  tff(70,plain,
% 115.11/74.33      (?[Vd1167: $i] : ((vd1163 = Vd1167) & rpoint(Vd1167))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[69, 68])).
% 115.11/74.33  tff(71,plain,(
% 115.11/74.33      (vd1163 = Vd1167!2) & rpoint(Vd1167!2)),
% 115.11/74.33      inference(skolemize,[status(sab)],[70])).
% 115.11/74.33  tff(72,plain,
% 115.11/74.33      (rpoint(Vd1167!2)),
% 115.11/74.33      inference(and_elim,[status(thm)],[71])).
% 115.11/74.33  tff(73,plain,
% 115.11/74.33      (((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | (~rpoint(Vd1167!2))) <=> ((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | (~rpoint(Vd1167!2)))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(74,plain,
% 115.11/74.33      (((~rpoint(Vd1167!2)) | $false) <=> (~rpoint(Vd1167!2))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(75,plain,
% 115.11/74.33      ((Vd1167!2 = Vd1167!2) <=> $true),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(76,plain,
% 115.11/74.33      ((~(Vd1167!2 = Vd1167!2)) <=> (~$true)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[75])).
% 115.11/74.33  tff(77,plain,
% 115.11/74.33      ((~(Vd1167!2 = Vd1167!2)) <=> $false),
% 115.11/74.33      inference(transitivity,[status(thm)],[76, 11])).
% 115.11/74.33  tff(78,plain,
% 115.11/74.33      (((~rpoint(Vd1167!2)) | (~(Vd1167!2 = Vd1167!2))) <=> ((~rpoint(Vd1167!2)) | $false)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[77])).
% 115.11/74.33  tff(79,plain,
% 115.11/74.33      (((~rpoint(Vd1167!2)) | (~(Vd1167!2 = Vd1167!2))) <=> (~rpoint(Vd1167!2))),
% 115.11/74.33      inference(transitivity,[status(thm)],[78, 74])).
% 115.11/74.33  tff(80,plain,
% 115.11/74.33      (((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | ((~rpoint(Vd1167!2)) | (~(Vd1167!2 = Vd1167!2)))) <=> ((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | (~rpoint(Vd1167!2)))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[79])).
% 115.11/74.33  tff(81,plain,
% 115.11/74.33      (((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | ((~rpoint(Vd1167!2)) | (~(Vd1167!2 = Vd1167!2)))) <=> ((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | (~rpoint(Vd1167!2)))),
% 115.11/74.33      inference(transitivity,[status(thm)],[80, 73])).
% 115.11/74.33  tff(82,plain,
% 115.11/74.33      ((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | ((~rpoint(Vd1167!2)) | (~(Vd1167!2 = Vd1167!2)))),
% 115.11/74.33      inference(quant_inst,[status(thm)],[])).
% 115.11/74.33  tff(83,plain,
% 115.11/74.33      ((~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))) | (~rpoint(Vd1167!2))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[82, 81])).
% 115.11/74.33  tff(84,plain,
% 115.11/74.33      ($false),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[83, 72, 67])).
% 115.11/74.33  tff(85,plain,(~![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189)))), inference(lemma,lemma(discharge,[]))).
% 115.11/74.33  tff(86,assumption,(![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))), introduced(assumption)).
% 115.11/74.33  tff(87,plain,
% 115.11/74.33      (?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169)) <=> ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(88,plain,
% 115.11/74.33      (((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))) & ?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))),
% 115.11/74.33      inference(and_elim,[status(thm)],[30])).
% 115.11/74.33  tff(89,plain,
% 115.11/74.33      (?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))),
% 115.11/74.33      inference(and_elim,[status(thm)],[88])).
% 115.11/74.33  tff(90,plain,
% 115.11/74.33      (?[Vd1169: $i] : ((vd1165 = Vd1169) & rpoint(Vd1169))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[89, 87])).
% 115.11/74.33  tff(91,plain,(
% 115.11/74.33      (vd1165 = Vd1169!0) & rpoint(Vd1169!0)),
% 115.11/74.33      inference(skolemize,[status(sab)],[90])).
% 115.11/74.33  tff(92,plain,
% 115.11/74.33      (rpoint(Vd1169!0)),
% 115.11/74.33      inference(and_elim,[status(thm)],[91])).
% 115.11/74.33  tff(93,plain,
% 115.11/74.33      (((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | (~rpoint(Vd1169!0))) <=> ((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | (~rpoint(Vd1169!0)))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(94,plain,
% 115.11/74.33      (((~rpoint(Vd1169!0)) | $false) <=> (~rpoint(Vd1169!0))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(95,plain,
% 115.11/74.33      ((Vd1169!0 = Vd1169!0) <=> $true),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(96,plain,
% 115.11/74.33      ((~(Vd1169!0 = Vd1169!0)) <=> (~$true)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[95])).
% 115.11/74.33  tff(97,plain,
% 115.11/74.33      ((~(Vd1169!0 = Vd1169!0)) <=> $false),
% 115.11/74.33      inference(transitivity,[status(thm)],[96, 11])).
% 115.11/74.33  tff(98,plain,
% 115.11/74.33      (((~rpoint(Vd1169!0)) | (~(Vd1169!0 = Vd1169!0))) <=> ((~rpoint(Vd1169!0)) | $false)),
% 115.11/74.33      inference(monotonicity,[status(thm)],[97])).
% 115.11/74.33  tff(99,plain,
% 115.11/74.33      (((~rpoint(Vd1169!0)) | (~(Vd1169!0 = Vd1169!0))) <=> (~rpoint(Vd1169!0))),
% 115.11/74.33      inference(transitivity,[status(thm)],[98, 94])).
% 115.11/74.33  tff(100,plain,
% 115.11/74.33      (((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | ((~rpoint(Vd1169!0)) | (~(Vd1169!0 = Vd1169!0)))) <=> ((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | (~rpoint(Vd1169!0)))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[99])).
% 115.11/74.33  tff(101,plain,
% 115.11/74.33      (((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | ((~rpoint(Vd1169!0)) | (~(Vd1169!0 = Vd1169!0)))) <=> ((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | (~rpoint(Vd1169!0)))),
% 115.11/74.33      inference(transitivity,[status(thm)],[100, 93])).
% 115.11/74.33  tff(102,plain,
% 115.11/74.33      ((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | ((~rpoint(Vd1169!0)) | (~(Vd1169!0 = Vd1169!0)))),
% 115.11/74.33      inference(quant_inst,[status(thm)],[])).
% 115.11/74.33  tff(103,plain,
% 115.11/74.33      ((~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))) | (~rpoint(Vd1169!0))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[102, 101])).
% 115.11/74.33  tff(104,plain,
% 115.11/74.33      ($false),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[103, 92, 86])).
% 115.11/74.33  tff(105,plain,(~![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))), inference(lemma,lemma(discharge,[]))).
% 115.11/74.33  tff(106,plain,
% 115.11/74.33      (vd1163 = Vd1167!2),
% 115.11/74.33      inference(and_elim,[status(thm)],[71])).
% 115.11/74.33  tff(107,plain,
% 115.11/74.33      (ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)) <=> ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[106])).
% 115.11/74.33  tff(108,plain,
% 115.11/74.33      (ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)) <=> ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(symmetry,[status(thm)],[107])).
% 115.11/74.33  tff(109,assumption,(~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))), introduced(assumption)).
% 115.11/74.33  tff(110,plain,
% 115.11/74.33      (((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))) | ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(tautology,[status(thm)],[])).
% 115.11/74.33  tff(111,plain,
% 115.11/74.33      (ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[110, 109])).
% 115.11/74.33  tff(112,plain,
% 115.11/74.33      (ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[111, 108])).
% 115.11/74.33  tff(113,plain,
% 115.11/74.33      (vd1165 = Vd1169!0),
% 115.11/74.33      inference(and_elim,[status(thm)],[91])).
% 115.11/74.33  tff(114,plain,
% 115.11/74.33      (ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)) <=> ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[113])).
% 115.11/74.33  tff(115,plain,
% 115.11/74.33      (ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)) <=> ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(symmetry,[status(thm)],[114])).
% 115.11/74.33  tff(116,plain,
% 115.11/74.33      (((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))) | ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(tautology,[status(thm)],[])).
% 115.11/74.33  tff(117,plain,
% 115.11/74.33      (ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[116, 109])).
% 115.11/74.33  tff(118,plain,
% 115.11/74.33      (ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[117, 115])).
% 115.11/74.33  tff(119,plain,
% 115.11/74.33      (vd1164 = Vd1168!1),
% 115.11/74.33      inference(and_elim,[status(thm)],[33])).
% 115.11/74.33  tff(120,plain,
% 115.11/74.33      (ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)) <=> ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(monotonicity,[status(thm)],[119])).
% 115.11/74.33  tff(121,plain,
% 115.11/74.33      (ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)) <=> ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(symmetry,[status(thm)],[120])).
% 115.11/74.33  tff(122,plain,
% 115.11/74.33      (((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))) | ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(tautology,[status(thm)],[])).
% 115.11/74.33  tff(123,plain,
% 115.11/74.33      (ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[122, 109])).
% 115.11/74.33  tff(124,plain,
% 115.11/74.33      (ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[123, 121])).
% 115.11/74.33  tff(125,plain,
% 115.11/74.33      (((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))) | rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(tautology,[status(thm)],[])).
% 115.11/74.33  tff(126,plain,
% 115.11/74.33      (rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))),
% 115.11/74.33      inference(unit_resolution,[status(thm)],[125, 109])).
% 115.11/74.33  tff(127,plain,
% 115.11/74.33      (^[Vd1173: $i] : refl(((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173))) <=> ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173))))),
% 115.11/74.33      inference(bind,[status(th)],[])).
% 115.11/74.33  tff(128,plain,
% 115.11/74.33      (![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173))) <=> ![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))),
% 115.11/74.33      inference(quant_intro,[status(thm)],[127])).
% 115.11/74.33  tff(129,plain,
% 115.11/74.33      (^[Vd1173: $i] : trans(monotonicity(rewrite((ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173)) <=> (~((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173))))), ((~(ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))) <=> (~(~((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173))))))), rewrite((~(~((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173))))) <=> ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))), ((~(ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))) <=> ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))))),
% 115.11/74.33      inference(bind,[status(th)],[])).
% 115.11/74.33  tff(130,plain,
% 115.11/74.33      (![Vd1173: $i] : (~(ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))) <=> ![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))),
% 115.11/74.33      inference(quant_intro,[status(thm)],[129])).
% 115.11/74.33  tff(131,plain,
% 115.11/74.33      ((~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))) <=> (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173)))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(132,plain,
% 115.11/74.33      ((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) <=> (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173)))),
% 115.11/74.33      inference(rewrite,[status(thm)],[])).
% 115.11/74.33  tff(133,plain,
% 115.11/74.33      ((((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))) & (vf(vd1156, vd1157) = vf(vd1163, vd1164))),
% 115.11/74.33      inference(and_elim,[status(thm)],[88])).
% 115.11/74.33  tff(134,plain,
% 115.11/74.33      (((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))) & (vf(vd1156, vd1158) = vf(vd1163, vd1165))),
% 115.11/74.33      inference(and_elim,[status(thm)],[133])).
% 115.11/74.33  tff(135,plain,
% 115.11/74.33      ((~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))) & (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))),
% 115.11/74.33      inference(and_elim,[status(thm)],[134])).
% 115.11/74.33  tff(136,plain,
% 115.11/74.33      (~?[Vd1173: $i] : (((ron(vd1165, Vd1173) & ron(vd1164, Vd1173)) & ron(vd1163, Vd1173)) & rline(Vd1173))),
% 115.11/74.33      inference(and_elim,[status(thm)],[135])).
% 115.11/74.33  tff(137,plain,
% 115.11/74.33      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[136, 132])).
% 115.11/74.33  tff(138,plain,
% 115.11/74.33      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.33      inference(modus_ponens,[status(thm)],[137, 131])).
% 115.11/74.34  tff(139,plain,
% 115.11/74.34      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[138, 131])).
% 115.11/74.34  tff(140,plain,
% 115.11/74.34      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[139, 131])).
% 115.11/74.34  tff(141,plain,
% 115.11/74.34      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[140, 131])).
% 115.11/74.34  tff(142,plain,
% 115.11/74.34      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[141, 131])).
% 115.11/74.34  tff(143,plain,
% 115.11/74.34      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[142, 131])).
% 115.11/74.34  tff(144,plain,
% 115.11/74.34      (~?[Vd1173: $i] : (ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[143, 131])).
% 115.11/74.34  tff(145,plain,
% 115.11/74.34      (^[Vd1173: $i] : refl($oeq((~(ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173))), (~(ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173)))))),
% 115.11/74.34      inference(bind,[status(th)],[])).
% 115.11/74.34  tff(146,plain,(
% 115.11/74.34      ![Vd1173: $i] : (~(ron(vd1165, Vd1173) & ron(vd1164, Vd1173) & ron(vd1163, Vd1173) & rline(Vd1173)))),
% 115.11/74.34      inference(nnf-neg,[status(sab)],[144, 145])).
% 115.11/74.34  tff(147,plain,
% 115.11/74.34      (![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[146, 130])).
% 115.11/74.34  tff(148,plain,
% 115.11/74.34      (![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[147, 128])).
% 115.11/74.34  tff(149,plain,
% 115.11/74.34      (((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | ((~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) <=> ((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(150,plain,
% 115.11/74.34      (((~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))) <=> ((~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(151,plain,
% 115.11/74.34      (((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | ((~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) <=> ((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | ((~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))))),
% 115.11/74.34      inference(monotonicity,[status(thm)],[150])).
% 115.11/74.34  tff(152,plain,
% 115.11/74.34      (((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | ((~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) <=> ((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))),
% 115.11/74.34      inference(transitivity,[status(thm)],[151, 149])).
% 115.11/74.34  tff(153,plain,
% 115.11/74.34      ((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | ((~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))),
% 115.11/74.34      inference(quant_inst,[status(thm)],[])).
% 115.11/74.34  tff(154,plain,
% 115.11/74.34      ((~![Vd1173: $i] : ((~ron(vd1165, Vd1173)) | (~ron(vd1164, Vd1173)) | (~ron(vd1163, Vd1173)) | (~rline(Vd1173)))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[153, 152])).
% 115.11/74.34  tff(155,plain,
% 115.11/74.34      ((~ron(vd1165, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1164, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(vd1163, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))),
% 115.11/74.34      inference(unit_resolution,[status(thm)],[154, 148, 126])).
% 115.11/74.34  tff(156,plain,
% 115.11/74.34      ($false),
% 115.11/74.34      inference(unit_resolution,[status(thm)],[155, 124, 118, 112])).
% 115.11/74.34  tff(157,plain,((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))), inference(lemma,lemma(discharge,[]))).
% 115.11/74.34  tff(158,plain,
% 115.11/74.34      (vd1157 = Vd1161!4),
% 115.11/74.34      inference(and_elim,[status(thm)],[7])).
% 115.11/74.34  tff(159,plain,
% 115.11/74.34      (Vd1161!4 = vd1157),
% 115.11/74.34      inference(symmetry,[status(thm)],[158])).
% 115.11/74.34  tff(160,plain,
% 115.11/74.34      (vd1156 = Vd1160!5),
% 115.11/74.34      inference(and_elim,[status(thm)],[52])).
% 115.11/74.34  tff(161,plain,
% 115.11/74.34      (Vd1160!5 = vd1156),
% 115.11/74.34      inference(symmetry,[status(thm)],[160])).
% 115.11/74.34  tff(162,plain,
% 115.11/74.34      ((Vd1160!5 = Vd1161!4) <=> (vd1156 = vd1157)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[161, 159])).
% 115.11/74.34  tff(163,plain,
% 115.11/74.34      ((vd1156 = vd1157) <=> (Vd1160!5 = Vd1161!4)),
% 115.11/74.34      inference(symmetry,[status(thm)],[162])).
% 115.11/74.34  tff(164,plain,
% 115.11/74.34      ((~(vd1156 = vd1157)) <=> (~(Vd1160!5 = Vd1161!4))),
% 115.11/74.34      inference(monotonicity,[status(thm)],[163])).
% 115.11/74.34  tff(165,plain,
% 115.11/74.34      ((~(vd1156 = vd1157)) <=> (~(vd1156 = vd1157))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(166,plain,
% 115.11/74.34      (~(vd1156 = vd1157)),
% 115.11/74.34      inference(and_elim,[status(thm)],[26])).
% 115.11/74.34  tff(167,plain,
% 115.11/74.34      (~(vd1156 = vd1157)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[166, 165])).
% 115.11/74.34  tff(168,plain,
% 115.11/74.34      (~(Vd1160!5 = Vd1161!4)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[167, 164])).
% 115.11/74.34  tff(169,plain,
% 115.11/74.34      (?[Vd1162: $i] : ((vd1158 = Vd1162) & rpoint(Vd1162)) <=> ?[Vd1162: $i] : ((vd1158 = Vd1162) & rpoint(Vd1162))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(170,plain,
% 115.11/74.34      (?[Vd1162: $i] : ((vd1158 = Vd1162) & rpoint(Vd1162))),
% 115.11/74.34      inference(and_elim,[status(thm)],[25])).
% 115.11/74.34  tff(171,plain,
% 115.11/74.34      (?[Vd1162: $i] : ((vd1158 = Vd1162) & rpoint(Vd1162))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[170, 169])).
% 115.11/74.34  tff(172,plain,(
% 115.11/74.34      (vd1158 = Vd1162!3) & rpoint(Vd1162!3)),
% 115.11/74.34      inference(skolemize,[status(sab)],[171])).
% 115.11/74.34  tff(173,plain,
% 115.11/74.34      (vd1158 = Vd1162!3),
% 115.11/74.34      inference(and_elim,[status(thm)],[172])).
% 115.11/74.34  tff(174,plain,
% 115.11/74.34      (Vd1162!3 = vd1158),
% 115.11/74.34      inference(symmetry,[status(thm)],[173])).
% 115.11/74.34  tff(175,plain,
% 115.11/74.34      ((Vd1161!4 = Vd1162!3) <=> (vd1157 = vd1158)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[159, 174])).
% 115.11/74.34  tff(176,plain,
% 115.11/74.34      ((vd1157 = vd1158) <=> (Vd1161!4 = Vd1162!3)),
% 115.11/74.34      inference(symmetry,[status(thm)],[175])).
% 115.11/74.34  tff(177,plain,
% 115.11/74.34      ((~(vd1157 = vd1158)) <=> (~(Vd1161!4 = Vd1162!3))),
% 115.11/74.34      inference(monotonicity,[status(thm)],[176])).
% 115.11/74.34  tff(178,plain,
% 115.11/74.34      ((~(vd1157 = vd1158)) <=> (~(vd1157 = vd1158))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(179,plain,
% 115.11/74.34      (~(vd1157 = vd1158)),
% 115.11/74.34      inference(and_elim,[status(thm)],[28])).
% 115.11/74.34  tff(180,plain,
% 115.11/74.34      (~(vd1157 = vd1158)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[179, 178])).
% 115.11/74.34  tff(181,plain,
% 115.11/74.34      (~(Vd1161!4 = Vd1162!3)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[180, 177])).
% 115.11/74.34  tff(182,plain,
% 115.11/74.34      (Vd1168!1 = vd1164),
% 115.11/74.34      inference(symmetry,[status(thm)],[119])).
% 115.11/74.34  tff(183,plain,
% 115.11/74.34      (Vd1167!2 = vd1163),
% 115.11/74.34      inference(symmetry,[status(thm)],[106])).
% 115.11/74.34  tff(184,plain,
% 115.11/74.34      (vf(Vd1167!2, Vd1168!1) = vf(vd1163, vd1164)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[183, 182])).
% 115.11/74.34  tff(185,plain,
% 115.11/74.34      (vf(vd1163, vd1164) = vf(Vd1167!2, Vd1168!1)),
% 115.11/74.34      inference(symmetry,[status(thm)],[184])).
% 115.11/74.34  tff(186,plain,
% 115.11/74.34      ((vf(vd1156, vd1157) = vf(vd1163, vd1164)) <=> (vf(vd1156, vd1157) = vf(vd1163, vd1164))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(187,plain,
% 115.11/74.34      (vf(vd1156, vd1157) = vf(vd1163, vd1164)),
% 115.11/74.34      inference(and_elim,[status(thm)],[133])).
% 115.11/74.34  tff(188,plain,
% 115.11/74.34      (vf(vd1156, vd1157) = vf(vd1163, vd1164)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[187, 186])).
% 115.11/74.34  tff(189,plain,
% 115.11/74.34      (vf(Vd1160!5, Vd1161!4) = vf(vd1156, vd1157)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[161, 159])).
% 115.11/74.34  tff(190,plain,
% 115.11/74.34      (vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1)),
% 115.11/74.34      inference(transitivity,[status(thm)],[189, 188, 185])).
% 115.11/74.34  tff(191,plain,
% 115.11/74.34      (Vd1169!0 = vd1165),
% 115.11/74.34      inference(symmetry,[status(thm)],[113])).
% 115.11/74.34  tff(192,plain,
% 115.11/74.34      (vf(Vd1167!2, Vd1169!0) = vf(vd1163, vd1165)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[183, 191])).
% 115.11/74.34  tff(193,plain,
% 115.11/74.34      (vf(vd1163, vd1165) = vf(Vd1167!2, Vd1169!0)),
% 115.11/74.34      inference(symmetry,[status(thm)],[192])).
% 115.11/74.34  tff(194,plain,
% 115.11/74.34      ((vf(vd1156, vd1158) = vf(vd1163, vd1165)) <=> (vf(vd1156, vd1158) = vf(vd1163, vd1165))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(195,plain,
% 115.11/74.34      (vf(vd1156, vd1158) = vf(vd1163, vd1165)),
% 115.11/74.34      inference(and_elim,[status(thm)],[134])).
% 115.11/74.34  tff(196,plain,
% 115.11/74.34      (vf(vd1156, vd1158) = vf(vd1163, vd1165)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[195, 194])).
% 115.11/74.34  tff(197,plain,
% 115.11/74.34      (vf(Vd1160!5, Vd1162!3) = vf(vd1156, vd1158)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[161, 174])).
% 115.11/74.34  tff(198,plain,
% 115.11/74.34      (vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0)),
% 115.11/74.34      inference(transitivity,[status(thm)],[197, 196, 193])).
% 115.11/74.34  tff(199,plain,
% 115.11/74.34      (vangle(Vd1168!1, Vd1167!2, Vd1169!0) = vangle(vd1164, vd1163, vd1165)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[182, 183, 191])).
% 115.11/74.34  tff(200,plain,
% 115.11/74.34      (vangle(vd1164, vd1163, vd1165) = vangle(Vd1168!1, Vd1167!2, Vd1169!0)),
% 115.11/74.34      inference(symmetry,[status(thm)],[199])).
% 115.11/74.34  tff(201,plain,
% 115.11/74.34      ((vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165)) <=> (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(202,plain,
% 115.11/74.34      (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165)),
% 115.11/74.34      inference(and_elim,[status(thm)],[135])).
% 115.11/74.34  tff(203,plain,
% 115.11/74.34      (vangle(vd1157, vd1156, vd1158) = vangle(vd1164, vd1163, vd1165)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[202, 201])).
% 115.11/74.34  tff(204,plain,
% 115.11/74.34      (vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(vd1157, vd1156, vd1158)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[159, 161, 174])).
% 115.11/74.34  tff(205,plain,
% 115.11/74.34      (vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0)),
% 115.11/74.34      inference(transitivity,[status(thm)],[204, 203, 200])).
% 115.11/74.34  tff(206,plain,
% 115.11/74.34      ((vf(Vd1161!4, Vd1162!3) = vf(Vd1168!1, Vd1169!0)) <=> (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3))),
% 115.11/74.34      inference(commutativity,[status(thm)],[])).
% 115.11/74.34  tff(207,plain,
% 115.11/74.34      (vf(Vd1168!1, Vd1169!0) = vf(vd1164, vd1165)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[182, 191])).
% 115.11/74.34  tff(208,plain,
% 115.11/74.34      (vf(vd1164, vd1165) = vf(Vd1168!1, Vd1169!0)),
% 115.11/74.34      inference(symmetry,[status(thm)],[207])).
% 115.11/74.34  tff(209,plain,
% 115.11/74.34      (vf(Vd1161!4, Vd1162!3) = vf(vd1157, vd1158)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[159, 174])).
% 115.11/74.34  tff(210,plain,
% 115.11/74.34      (vf(vd1157, vd1158) = vf(Vd1161!4, Vd1162!3)),
% 115.11/74.34      inference(symmetry,[status(thm)],[209])).
% 115.11/74.34  tff(211,plain,
% 115.11/74.34      ((vf(vd1157, vd1158) = vf(vd1164, vd1165)) <=> (vf(Vd1161!4, Vd1162!3) = vf(Vd1168!1, Vd1169!0))),
% 115.11/74.34      inference(monotonicity,[status(thm)],[210, 208])).
% 115.11/74.34  tff(212,plain,
% 115.11/74.34      ((vf(vd1157, vd1158) = vf(vd1164, vd1165)) <=> (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3))),
% 115.11/74.34      inference(transitivity,[status(thm)],[211, 206])).
% 115.11/74.34  tff(213,plain,
% 115.11/74.34      ((~(vf(vd1157, vd1158) = vf(vd1164, vd1165))) <=> (~(vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)))),
% 115.11/74.34      inference(monotonicity,[status(thm)],[212])).
% 115.11/74.34  tff(214,plain,
% 115.11/74.34      ((~(vf(vd1157, vd1158) = vf(vd1164, vd1165))) <=> (~(vf(vd1157, vd1158) = vf(vd1164, vd1165)))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(215,axiom,(~(vf(vd1157, vd1158) = vf(vd1164, vd1165))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''holds(conjunct1(266), 1175, 0)'')).
% 115.11/74.34  tff(216,plain,
% 115.11/74.34      (~(vf(vd1157, vd1158) = vf(vd1164, vd1165))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[215, 214])).
% 115.11/74.34  tff(217,plain,
% 115.11/74.34      (~(vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3))),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[216, 213])).
% 115.11/74.34  tff(218,plain,
% 115.11/74.34      ((Vd1160!5 = Vd1162!3) <=> (vd1156 = vd1158)),
% 115.11/74.34      inference(monotonicity,[status(thm)],[161, 174])).
% 115.11/74.34  tff(219,plain,
% 115.11/74.34      ((vd1156 = vd1158) <=> (Vd1160!5 = Vd1162!3)),
% 115.11/74.34      inference(symmetry,[status(thm)],[218])).
% 115.11/74.34  tff(220,plain,
% 115.11/74.34      ((~(vd1156 = vd1158)) <=> (~(Vd1160!5 = Vd1162!3))),
% 115.11/74.34      inference(monotonicity,[status(thm)],[219])).
% 115.11/74.34  tff(221,plain,
% 115.11/74.34      ((~(vd1156 = vd1158)) <=> (~(vd1156 = vd1158))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(222,plain,
% 115.11/74.34      (~(vd1156 = vd1158)),
% 115.11/74.34      inference(and_elim,[status(thm)],[27])).
% 115.11/74.34  tff(223,plain,
% 115.11/74.34      (~(vd1156 = vd1158)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[222, 221])).
% 115.11/74.34  tff(224,plain,
% 115.11/74.34      (~(Vd1160!5 = Vd1162!3)),
% 115.11/74.34      inference(modus_ponens,[status(thm)],[223, 220])).
% 115.11/74.34  tff(225,plain,
% 115.11/74.34      (^[Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : refl(((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))))),
% 115.11/74.34      inference(bind,[status(th)],[])).
% 115.11/74.34  tff(226,plain,
% 115.11/74.34      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))) <=> ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))),
% 115.11/74.34      inference(quant_intro,[status(thm)],[225])).
% 115.11/74.34  tff(227,plain,
% 115.11/74.34      (^[Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : rewrite(((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))))),
% 115.11/74.34      inference(bind,[status(th)],[])).
% 115.11/74.34  tff(228,plain,
% 115.11/74.34      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))) <=> ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))),
% 115.11/74.34      inference(quant_intro,[status(thm)],[227])).
% 115.11/74.34  tff(229,plain,
% 115.11/74.34      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))) <=> ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))),
% 115.11/74.34      inference(transitivity,[status(thm)],[228, 226])).
% 115.11/74.34  tff(230,plain,
% 115.11/74.34      (^[Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : trans(monotonicity(rewrite((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) <=> (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)))))), quant_intro(proof_bind(^[Vd1191: $i] : trans(monotonicity(rewrite(((Vd1187 = Vd1191) & rpoint(Vd1191)) <=> (~((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))))), ((~((Vd1187 = Vd1191) & rpoint(Vd1191))) <=> (~(~((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))))))), rewrite((~(~((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))))) <=> ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191)))), ((~((Vd1187 = Vd1191) & rpoint(Vd1191))) <=> ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191)))))), (![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) <=> ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))))), quant_intro(proof_bind(^[Vd1190: $i] : trans(monotonicity(rewrite(((Vd1186 = Vd1190) & rpoint(Vd1190)) <=> (~((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))))), ((~((Vd1186 = Vd1190) & rpoint(Vd1190))) <=> (~(~((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))))))), rewrite((~(~((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))))) <=> ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190)))), ((~((Vd1186 = Vd1190) & rpoint(Vd1190))) <=> ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190)))))), (![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) <=> ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))))), quant_intro(proof_bind(^[Vd1189: $i] : trans(monotonicity(rewrite(((Vd1185 = Vd1189) & rpoint(Vd1189)) <=> (~((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))))), ((~((Vd1185 = Vd1189) & rpoint(Vd1189))) <=> (~(~((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))))))), rewrite((~(~((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))))) <=> ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189)))), ((~((Vd1185 = Vd1189) & rpoint(Vd1189))) <=> ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189)))))), (![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) <=> ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))))), quant_intro(proof_bind(^[Vd1184: $i] : trans(monotonicity(rewrite(((Vd1180 = Vd1184) & rpoint(Vd1184)) <=> (~((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))))), ((~((Vd1180 = Vd1184) & rpoint(Vd1184))) <=> (~(~((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))))))), rewrite((~(~((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))))) <=> ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184)))), ((~((Vd1180 = Vd1184) & rpoint(Vd1184))) <=> ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184)))))), (![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) <=> ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))))), quant_intro(proof_bind(^[Vd1183: $i] : trans(monotonicity(rewrite(((Vd1179 = Vd1183) & rpoint(Vd1183)) <=> (~((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))))), ((~((Vd1179 = Vd1183) & rpoint(Vd1183))) <=> (~(~((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))))))), rewrite((~(~((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))))) <=> ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183)))), ((~((Vd1179 = Vd1183) & rpoint(Vd1183))) <=> ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183)))))), (![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) <=> ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))))), quant_intro(proof_bind(^[Vd1182: $i] : trans(monotonicity(rewrite(((Vd1178 = Vd1182) & rpoint(Vd1182)) <=> (~((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))), ((~((Vd1178 = Vd1182) & rpoint(Vd1182))) <=> (~(~((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))))), rewrite((~(~((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) <=> ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))), ((~((Vd1178 = Vd1182) & rpoint(Vd1182))) <=> ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))))), (![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182))) <=> ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))), (((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))))), rewrite(((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182)))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))), (((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))))),
% 115.11/74.34      inference(bind,[status(th)],[])).
% 115.11/74.34  tff(231,plain,
% 115.11/74.34      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) <=> ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))),
% 115.11/74.34      inference(quant_intro,[status(thm)],[230])).
% 115.11/74.34  tff(232,plain,
% 115.11/74.34      (^[Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : trans(monotonicity(trans(monotonicity(rewrite((~(~(Vd1179 = Vd1180))) <=> (Vd1179 = Vd1180)), rewrite((~(~(Vd1178 = Vd1180))) <=> (Vd1178 = Vd1180)), rewrite((~(~(Vd1178 = Vd1179))) <=> (Vd1178 = Vd1179)), (((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (~(~(Vd1179 = Vd1180))) | (~(~(Vd1178 = Vd1180))) | (~(~(Vd1178 = Vd1179))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) <=> ((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (Vd1179 = Vd1180) | (Vd1178 = Vd1180) | (Vd1178 = Vd1179) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))))), rewrite(((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (Vd1179 = Vd1180) | (Vd1178 = Vd1180) | (Vd1178 = Vd1179) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182))))), (((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (~(~(Vd1179 = Vd1180))) | (~(~(Vd1178 = Vd1180))) | (~(~(Vd1178 = Vd1179))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))))), ((((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (~(~(Vd1179 = Vd1180))) | (~(~(Vd1178 = Vd1180))) | (~(~(Vd1178 = Vd1179))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> (((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))))), rewrite((((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182))))), ((((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (~(~(Vd1179 = Vd1180))) | (~(~(Vd1178 = Vd1180))) | (~(~(Vd1178 = Vd1179))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182))))))),
% 115.11/74.34      inference(bind,[status(th)],[])).
% 115.11/74.34  tff(233,plain,
% 115.11/74.34      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : (((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (~(~(Vd1179 = Vd1180))) | (~(~(Vd1178 = Vd1180))) | (~(~(Vd1178 = Vd1179))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182))))),
% 115.11/74.34      inference(quant_intro,[status(thm)],[232])).
% 115.11/74.34  tff(234,plain,
% 115.11/74.34      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((~((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((~((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))),
% 115.11/74.34      inference(rewrite,[status(thm)],[])).
% 115.11/74.34  tff(235,plain,
% 115.11/74.34      (^[Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)))), ((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)))), ((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))))), (((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)))), (((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))))), ((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)))), ((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))))), (((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)))), (((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))))), ((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)))), ((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))))), (((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)))), (((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180))))), ((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)))), ((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180))))), (((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)))), (((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179))))), ((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)))), ((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))))), (((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)))), (((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))))), ((((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))), ((((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) <=> ((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))))), (((((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) => (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> (((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) => (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))))), rewrite((((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) => (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> ((~((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))), (((((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) => (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> ((~((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))))),
% 115.11/74.35      inference(bind,[status(th)],[])).
% 115.11/74.35  tff(236,plain,
% 115.11/74.35      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) => (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180))) <=> ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((~((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))),
% 115.11/74.35      inference(quant_intro,[status(thm)],[235])).
% 115.11/74.35  tff(237,axiom,(![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((((((((((((((~?[Vd1195: $i] : (((ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195)) & ron(Vd1185, Vd1195)) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191))) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190))) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189))) & (~(Vd1179 = Vd1180))) & (~(Vd1178 = Vd1180))) & (~(Vd1178 = Vd1179))) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184))) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183))) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182))) => (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''ass(cond(proof(267), 0), 2)'')).
% 115.11/74.35  tff(238,plain,
% 115.11/74.35      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((~((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))),
% 115.11/74.35      inference(modus_ponens,[status(thm)],[237, 236])).
% 115.11/74.35  tff(239,plain,
% 115.11/74.35      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((~((~?[Vd1195: $i] : (ron(Vd1187, Vd1195) & ron(Vd1186, Vd1195) & ron(Vd1185, Vd1195) & rline(Vd1195))) & (vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187)) & (vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187)) & (vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186)) & ?[Vd1191: $i] : ((Vd1187 = Vd1191) & rpoint(Vd1191)) & ?[Vd1190: $i] : ((Vd1186 = Vd1190) & rpoint(Vd1190)) & ?[Vd1189: $i] : ((Vd1185 = Vd1189) & rpoint(Vd1189)) & (~(Vd1179 = Vd1180)) & (~(Vd1178 = Vd1180)) & (~(Vd1178 = Vd1179)) & ?[Vd1184: $i] : ((Vd1180 = Vd1184) & rpoint(Vd1184)) & ?[Vd1183: $i] : ((Vd1179 = Vd1183) & rpoint(Vd1183)) & ?[Vd1182: $i] : ((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))),
% 115.11/74.35      inference(modus_ponens,[status(thm)],[238, 234])).
% 115.11/74.35  tff(240,plain,(
% 115.11/74.35      ![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : (((ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | (~(~(Vd1179 = Vd1180))) | (~(~(Vd1178 = Vd1180))) | (~(~(Vd1178 = Vd1179))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182)))) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)))),
% 115.11/74.35      inference(skolemize,[status(sab)],[239])).
% 115.11/74.35  tff(241,plain,
% 115.11/74.35      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185)) & rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | ![Vd1191: $i] : (~((Vd1187 = Vd1191) & rpoint(Vd1191))) | ![Vd1190: $i] : (~((Vd1186 = Vd1190) & rpoint(Vd1190))) | ![Vd1189: $i] : (~((Vd1185 = Vd1189) & rpoint(Vd1189))) | ![Vd1184: $i] : (~((Vd1180 = Vd1184) & rpoint(Vd1184))) | ![Vd1183: $i] : (~((Vd1179 = Vd1183) & rpoint(Vd1183))) | ![Vd1182: $i] : (~((Vd1178 = Vd1182) & rpoint(Vd1182))))),
% 115.11/74.35      inference(modus_ponens,[status(thm)],[240, 233])).
% 115.11/74.35  tff(242,plain,
% 115.11/74.35      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))),
% 115.11/74.35      inference(modus_ponens,[status(thm)],[241, 231])).
% 115.11/74.35  tff(243,plain,
% 115.11/74.35      (![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))),
% 115.11/74.35      inference(modus_ponens,[status(thm)],[242, 229])).
% 115.11/74.35  tff(244,plain,
% 115.11/74.35      (((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | ((Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))))) <=> ((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | (Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))))),
% 115.18/74.35      inference(rewrite,[status(thm)],[])).
% 115.18/74.35  tff(245,plain,
% 115.18/74.35      (((Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (Vd1161!4 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) <=> ((Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))))),
% 115.18/74.35      inference(rewrite,[status(thm)],[])).
% 115.18/74.35  tff(246,plain,
% 115.18/74.35      (^[Vd1190: $i] : rewrite(((~(Vd1168!1 = Vd1190)) | (~rpoint(Vd1190))) <=> ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))))),
% 115.18/74.35      inference(bind,[status(th)],[])).
% 115.18/74.35  tff(247,plain,
% 115.18/74.35      (![Vd1190: $i] : ((~(Vd1168!1 = Vd1190)) | (~rpoint(Vd1190))) <=> ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))),
% 115.18/74.35      inference(quant_intro,[status(thm)],[246])).
% 115.18/74.35  tff(248,plain,
% 115.18/74.35      (^[Vd1191: $i] : rewrite(((~(Vd1169!0 = Vd1191)) | (~rpoint(Vd1191))) <=> ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))))),
% 115.18/74.35      inference(bind,[status(th)],[])).
% 115.18/74.35  tff(249,plain,
% 115.18/74.35      (![Vd1191: $i] : ((~(Vd1169!0 = Vd1191)) | (~rpoint(Vd1191))) <=> ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191)))),
% 115.18/74.35      inference(quant_intro,[status(thm)],[248])).
% 115.18/74.35  tff(250,plain,
% 115.18/74.35      ((~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) <=> (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2)))))),
% 115.18/74.35      inference(rewrite,[status(thm)],[])).
% 115.18/74.35  tff(251,plain,
% 115.18/74.35      (((Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (Vd1161!4 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1191: $i] : ((~(Vd1169!0 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1168!1 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) <=> ((Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (Vd1161!4 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))))),
% 115.18/74.35      inference(monotonicity,[status(thm)],[250, 249, 247])).
% 115.18/74.35  tff(252,plain,
% 115.18/74.35      (((Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (Vd1161!4 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1191: $i] : ((~(Vd1169!0 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1168!1 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182)))) <=> ((Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))))),
% 115.18/74.36      inference(transitivity,[status(thm)],[251, 245])).
% 115.18/74.36  tff(253,plain,
% 115.18/74.36      (((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | ((Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (Vd1161!4 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1191: $i] : ((~(Vd1169!0 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1168!1 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))))) <=> ((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | ((Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))))),
% 115.18/74.36      inference(monotonicity,[status(thm)],[252])).
% 115.18/74.36  tff(254,plain,
% 115.18/74.36      (((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | ((Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (Vd1161!4 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1191: $i] : ((~(Vd1169!0 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1168!1 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))))) <=> ((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | (Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190))))),
% 115.18/74.36      inference(transitivity,[status(thm)],[253, 244])).
% 115.18/74.36  tff(255,plain,
% 115.18/74.36      ((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | ((Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (Vd1161!4 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1191: $i] : ((~(Vd1169!0 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1168!1 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))))),
% 115.18/74.36      inference(quant_inst,[status(thm)],[])).
% 115.18/74.36  tff(256,plain,
% 115.18/74.36      ((~![Vd1178: $i, Vd1179: $i, Vd1180: $i, Vd1185: $i, Vd1186: $i, Vd1187: $i] : ((Vd1178 = Vd1179) | (Vd1178 = Vd1180) | (Vd1179 = Vd1180) | (vf(Vd1186, Vd1187) = vf(Vd1179, Vd1180)) | (~(vangle(Vd1179, Vd1178, Vd1180) = vangle(Vd1186, Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1180) = vf(Vd1185, Vd1187))) | (~(vf(Vd1178, Vd1179) = vf(Vd1185, Vd1186))) | (~((~ron(Vd1187, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1186, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~ron(Vd1185, tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))) | (~rline(tptp_fun_Vd1195_6(Vd1187, Vd1186, Vd1185))))) | ![Vd1191: $i] : ((~(Vd1187 = Vd1191)) | (~rpoint(Vd1191))) | ![Vd1190: $i] : ((~(Vd1186 = Vd1190)) | (~rpoint(Vd1190))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1185 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1180 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1179 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1178 = Vd1182))))) | (Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))),
% 115.18/74.36      inference(modus_ponens,[status(thm)],[255, 254])).
% 115.18/74.36  tff(257,plain,
% 115.18/74.36      ((Vd1161!4 = Vd1162!3) | (Vd1160!5 = Vd1161!4) | (Vd1160!5 = Vd1162!3) | (vf(Vd1168!1, Vd1169!0) = vf(Vd1161!4, Vd1162!3)) | (~(vangle(Vd1161!4, Vd1160!5, Vd1162!3) = vangle(Vd1168!1, Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1162!3) = vf(Vd1167!2, Vd1169!0))) | (~(vf(Vd1160!5, Vd1161!4) = vf(Vd1167!2, Vd1168!1))) | (~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))),
% 115.18/74.36      inference(unit_resolution,[status(thm)],[256, 243])).
% 115.18/74.36  tff(258,plain,
% 115.18/74.36      ((~((~ron(Vd1169!0, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1168!1, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~ron(Vd1167!2, tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))) | (~rline(tptp_fun_Vd1195_6(Vd1169!0, Vd1168!1, Vd1167!2))))) | ![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))),
% 115.18/74.36      inference(unit_resolution,[status(thm)],[257, 224, 217, 205, 198, 190, 181, 168])).
% 115.18/74.36  tff(259,plain,
% 115.18/74.36      (![Vd1189: $i] : ((~rpoint(Vd1189)) | (~(Vd1167!2 = Vd1189))) | ![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183))) | ![Vd1182: $i] : ((~rpoint(Vd1182)) | (~(Vd1160!5 = Vd1182))) | ![Vd1191: $i] : ((~rpoint(Vd1191)) | (~(Vd1169!0 = Vd1191))) | ![Vd1190: $i] : ((~rpoint(Vd1190)) | (~(Vd1168!1 = Vd1190)))),
% 115.18/74.36      inference(unit_resolution,[status(thm)],[258, 157])).
% 115.18/74.36  tff(260,plain,
% 115.18/74.36      (![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184))) | ![Vd1183: $i] : ((~rpoint(Vd1183)) | (~(Vd1161!4 = Vd1183)))),
% 115.18/74.36      inference(unit_resolution,[status(thm)],[259, 105, 85, 66, 47])).
% 115.18/74.36  tff(261,plain,
% 115.18/74.36      (![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))),
% 115.18/74.36      inference(unit_resolution,[status(thm)],[260, 22])).
% 115.18/74.36  tff(262,plain,
% 115.18/74.36      (rpoint(Vd1162!3)),
% 115.18/74.36      inference(and_elim,[status(thm)],[172])).
% 115.18/74.36  tff(263,plain,
% 115.18/74.36      (((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | (~rpoint(Vd1162!3))) <=> ((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | (~rpoint(Vd1162!3)))),
% 115.18/74.36      inference(rewrite,[status(thm)],[])).
% 115.18/74.36  tff(264,plain,
% 115.18/74.36      (((~rpoint(Vd1162!3)) | $false) <=> (~rpoint(Vd1162!3))),
% 115.18/74.36      inference(rewrite,[status(thm)],[])).
% 115.18/74.36  tff(265,plain,
% 115.18/74.36      ((Vd1162!3 = Vd1162!3) <=> $true),
% 115.18/74.36      inference(rewrite,[status(thm)],[])).
% 115.18/74.36  tff(266,plain,
% 115.18/74.36      ((~(Vd1162!3 = Vd1162!3)) <=> (~$true)),
% 115.18/74.36      inference(monotonicity,[status(thm)],[265])).
% 115.18/74.36  tff(267,plain,
% 115.18/74.36      ((~(Vd1162!3 = Vd1162!3)) <=> $false),
% 115.18/74.36      inference(transitivity,[status(thm)],[266, 11])).
% 115.18/74.43  tff(268,plain,
% 115.18/74.43      (((~rpoint(Vd1162!3)) | (~(Vd1162!3 = Vd1162!3))) <=> ((~rpoint(Vd1162!3)) | $false)),
% 115.18/74.43      inference(monotonicity,[status(thm)],[267])).
% 115.18/74.43  tff(269,plain,
% 115.18/74.43      (((~rpoint(Vd1162!3)) | (~(Vd1162!3 = Vd1162!3))) <=> (~rpoint(Vd1162!3))),
% 115.18/74.43      inference(transitivity,[status(thm)],[268, 264])).
% 115.18/74.43  tff(270,plain,
% 115.18/74.43      (((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | ((~rpoint(Vd1162!3)) | (~(Vd1162!3 = Vd1162!3)))) <=> ((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | (~rpoint(Vd1162!3)))),
% 115.18/74.43      inference(monotonicity,[status(thm)],[269])).
% 115.18/74.43  tff(271,plain,
% 115.18/74.43      (((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | ((~rpoint(Vd1162!3)) | (~(Vd1162!3 = Vd1162!3)))) <=> ((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | (~rpoint(Vd1162!3)))),
% 115.18/74.43      inference(transitivity,[status(thm)],[270, 263])).
% 115.18/74.43  tff(272,plain,
% 115.18/74.43      ((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | ((~rpoint(Vd1162!3)) | (~(Vd1162!3 = Vd1162!3)))),
% 115.18/74.43      inference(quant_inst,[status(thm)],[])).
% 115.18/74.43  tff(273,plain,
% 115.18/74.43      ((~![Vd1184: $i] : ((~rpoint(Vd1184)) | (~(Vd1162!3 = Vd1184)))) | (~rpoint(Vd1162!3))),
% 115.18/74.43      inference(modus_ponens,[status(thm)],[272, 271])).
% 115.18/74.43  tff(274,plain,
% 115.18/74.43      ($false),
% 115.18/74.43      inference(unit_resolution,[status(thm)],[273, 262, 261])).
% 115.18/74.43  % SZS output end Proof
%------------------------------------------------------------------------------