%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN447+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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  1 02:03:17 EDT 2023

% Result   : Theorem 0.63s 0.85s
% Output   : Proof 0.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : SYN447+1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.38  % Computer : n011.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat Aug 26 19:43:09 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.63/0.85  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3pQt5xGDy3/cvc5---1.0.5_20650.p...
% 0.63/0.85  ------- get file name : TPTP file name is SYN447+1
% 0.63/0.85  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20650.smt2...
% 0.63/0.85  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.63/0.85  % SZS status Theorem for SYN447+1
% 0.63/0.85  % SZS output start Proof for SYN447+1
% 0.63/0.85  (
% 0.63/0.85  (let ((_let_1 (tptp.c3_1 tptp.a1105))) (let ((_let_2 (tptp.c1_1 tptp.a1105))) (let ((_let_3 (tptp.c2_1 tptp.a1105))) (let ((_let_4 (not _let_3))) (let ((_let_5 (and tptp.ndr1_0 _let_4 _let_2 _let_1))) (let ((_let_6 (not tptp.hskp63))) (let ((_let_7 (tptp.c1_1 tptp.a1103))) (let ((_let_8 (tptp.c3_1 tptp.a1103))) (let ((_let_9 (tptp.c2_1 tptp.a1103))) (let ((_let_10 (and tptp.ndr1_0 _let_9 _let_8 _let_7))) (let ((_let_11 (tptp.c3_1 tptp.a1085))) (let ((_let_12 (tptp.c0_1 tptp.a1085))) (let ((_let_13 (tptp.c2_1 tptp.a1085))) (let ((_let_14 (and tptp.ndr1_0 _let_13 _let_12 _let_11))) (let ((_let_15 (not tptp.hskp57))) (let ((_let_16 (tptp.c0_1 tptp.a1084))) (let ((_let_17 (tptp.c1_1 tptp.a1084))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c3_1 tptp.a1084))) (let ((_let_20 (not _let_19))) (let ((_let_21 (and tptp.ndr1_0 _let_20 _let_18 _let_16))) (let ((_let_22 (not tptp.hskp56))) (let ((_let_23 (tptp.c0_1 tptp.a1073))) (let ((_let_24 (tptp.c2_1 tptp.a1073))) (let ((_let_25 (tptp.c1_1 tptp.a1073))) (let ((_let_26 (and tptp.ndr1_0 _let_25 _let_24 _let_23))) (let ((_let_27 (tptp.c3_1 tptp.a1056))) (let ((_let_28 (tptp.c1_1 tptp.a1056))) (let ((_let_29 (tptp.c2_1 tptp.a1056))) (let ((_let_30 (and tptp.ndr1_0 _let_29 _let_28 _let_27))) (let ((_let_31 (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1053)) (not (tptp.c2_1 tptp.a1053)) (tptp.c0_1 tptp.a1053)))) (let ((_let_32 (tptp.c1_1 tptp.a1049))) (let ((_let_33 (tptp.c2_1 tptp.a1049))) (let ((_let_34 (tptp.c0_1 tptp.a1049))) (let ((_let_35 (and tptp.ndr1_0 _let_34 _let_33 _let_32))) (let ((_let_36 (not tptp.hskp43))) (let ((_let_37 (tptp.c0_1 tptp.a1046))) (let ((_let_38 (tptp.c1_1 tptp.a1046))) (let ((_let_39 (tptp.c2_1 tptp.a1046))) (let ((_let_40 (not _let_39))) (let ((_let_41 (and tptp.ndr1_0 _let_40 _let_38 _let_37))) (let ((_let_42 (not tptp.hskp42))) (let ((_let_43 (tptp.c0_1 tptp.a1045))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c1_1 tptp.a1045))) (let ((_let_46 (not _let_45))) (let ((_let_47 (and tptp.ndr1_0 _let_46 _let_44 (tptp.c3_1 tptp.a1045)))) (let ((_let_48 (tptp.c0_1 tptp.a1044))) (let ((_let_49 (tptp.c3_1 tptp.a1044))) (let ((_let_50 (tptp.c1_1 tptp.a1044))) (let ((_let_51 (not _let_50))) (let ((_let_52 (and tptp.ndr1_0 _let_51 _let_49 _let_48))) (let ((_let_53 (tptp.c2_1 tptp.a1042))) (let ((_let_54 (tptp.c1_1 tptp.a1042))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c0_1 tptp.a1042))) (let ((_let_57 (and tptp.ndr1_0 _let_56 _let_55 _let_53))) (let ((_let_58 (and tptp.ndr1_0 (tptp.c1_1 tptp.a1040) (tptp.c3_1 tptp.a1040) (tptp.c2_1 tptp.a1040)))) (let ((_let_59 (tptp.c3_1 tptp.a1033))) (let ((_let_60 (tptp.c0_1 tptp.a1033))) (let ((_let_61 (and tptp.ndr1_0 _let_60 (tptp.c1_1 tptp.a1033) _let_59))) (let ((_let_62 (tptp.c2_1 tptp.a1031))) (let ((_let_63 (tptp.c1_1 tptp.a1031))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.c3_1 tptp.a1031))) (let ((_let_66 (and tptp.ndr1_0 _let_65 _let_64 _let_62))) (let ((_let_67 (tptp.c1_1 tptp.a1078))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.c0_1 tptp.a1078))) (let ((_let_70 (tptp.c2_1 tptp.a1078))) (let ((_let_71 (and tptp.ndr1_0 _let_70 _let_69 _let_68))) (let ((_let_72 (tptp.c2_1 tptp.a1077))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c3_1 tptp.a1077))) (let ((_let_75 (tptp.c0_1 tptp.a1077))) (let ((_let_76 (not _let_75))) (let ((_let_77 (and tptp.ndr1_0 _let_76 _let_74 _let_73))) (let ((_let_78 (tptp.c1_1 tptp.a1059))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c2_1 tptp.a1059))) (let ((_let_81 (tptp.c3_1 tptp.a1059))) (let ((_let_82 (and tptp.ndr1_0 _let_81 _let_80 _let_79))) (let ((_let_83 (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1055)) (not (tptp.c1_1 tptp.a1055)) (not (tptp.c2_1 tptp.a1055))))) (let ((_let_84 (tptp.c2_1 tptp.a1048))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.c3_1 tptp.a1048))) (let ((_let_87 (tptp.c0_1 tptp.a1048))) (let ((_let_88 (and tptp.ndr1_0 _let_87 _let_86 _let_85))) (let ((_let_89 (not tptp.hskp13))) (let ((_let_90 (tptp.c3_1 tptp.a1043))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c0_1 tptp.a1043))) (let ((_let_93 (tptp.c1_1 tptp.a1043))) (let ((_let_94 (not _let_93))) (let ((_let_95 (and tptp.ndr1_0 _let_94 _let_92 _let_91))) (let ((_let_96 (not tptp.hskp12))) (let ((_let_97 (tptp.c0_1 tptp.a1039))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c2_1 tptp.a1039))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.c1_1 tptp.a1039))) (let ((_let_102 (and tptp.ndr1_0 _let_101 _let_100 _let_98))) (let ((_let_103 (not tptp.hskp10))) (let ((_let_104 (tptp.c2_1 tptp.a1035))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c1_1 tptp.a1035))) (let ((_let_107 (tptp.c0_1 tptp.a1035))) (let ((_let_108 (and tptp.ndr1_0 _let_107 _let_106 _let_105))) (let ((_let_109 (not tptp.hskp7))) (let ((_let_110 (tptp.c0_1 tptp.a1023))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.c1_1 tptp.a1023))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.c2_1 tptp.a1023))) (let ((_let_115 (and tptp.ndr1_0 _let_114 _let_113 _let_111))) (let ((_let_116 (not (not (and (or (not tptp.hskp0) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1020) (not (tptp.c1_1 tptp.a1020)) (not (tptp.c2_1 tptp.a1020)))) (or (not tptp.hskp1) _let_115) (or (not tptp.hskp2) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1024) (tptp.c1_1 tptp.a1024) (not (tptp.c3_1 tptp.a1024)))) (or (not tptp.hskp3) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1025)) (not (tptp.c3_1 tptp.a1025)) (not (tptp.c2_1 tptp.a1025)))) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1026) (not (tptp.c2_1 tptp.a1026)) (not (tptp.c1_1 tptp.a1026)))) (or (not tptp.hskp5) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1027) (tptp.c2_1 tptp.a1027) (not (tptp.c3_1 tptp.a1027)))) (or (not tptp.hskp6) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1030)) (not (tptp.c3_1 tptp.a1030)) (not (tptp.c0_1 tptp.a1030)))) (or _let_109 _let_108) (or (not tptp.hskp8) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1036) (not (tptp.c3_1 tptp.a1036)) (not (tptp.c1_1 tptp.a1036)))) (or (not tptp.hskp9) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1038)) (tptp.c2_1 tptp.a1038) (not (tptp.c0_1 tptp.a1038)))) (or _let_103 _let_102) (or (not tptp.hskp11) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1041)) (tptp.c1_1 tptp.a1041) (not (tptp.c2_1 tptp.a1041)))) (or _let_96 _let_95) (or _let_89 _let_88) (or (not tptp.hskp14) _let_83) (or (not tptp.hskp15) _let_82) (or (not tptp.hskp16) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1064) (tptp.c0_1 tptp.a1064) (not (tptp.c3_1 tptp.a1064)))) (or (not tptp.hskp17) _let_77) (or (not tptp.hskp18) _let_71) (or (not tptp.hskp19) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1079) (not (tptp.c0_1 tptp.a1079)) (not (tptp.c2_1 tptp.a1079)))) (or (not tptp.hskp20) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1080)) (not (tptp.c2_1 tptp.a1080)) (not (tptp.c1_1 tptp.a1080)))) (or (not tptp.hskp21) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1082)) (not (tptp.c2_1 tptp.a1082)) (not (tptp.c0_1 tptp.a1082)))) (or (not tptp.hskp22) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1083) (tptp.c3_1 tptp.a1083) (not (tptp.c1_1 tptp.a1083)))) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1088) (tptp.c3_1 tptp.a1088) (not (tptp.c2_1 tptp.a1088)))) (or (not tptp.hskp24) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1089)) (tptp.c0_1 tptp.a1089) (not (tptp.c1_1 tptp.a1089)))) (or (not tptp.hskp25) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1091)) (not (tptp.c0_1 tptp.a1091)) (not (tptp.c2_1 tptp.a1091)))) (or (not tptp.hskp26) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1098)) (tptp.c1_1 tptp.a1098) (not (tptp.c0_1 tptp.a1098)))) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1101) (tptp.c1_1 tptp.a1101) (not (tptp.c0_1 tptp.a1101)))) (or (not tptp.hskp28) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1102)) (tptp.c2_1 tptp.a1102) (not (tptp.c1_1 tptp.a1102)))) (or (not tptp.hskp29) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1021)) (not (tptp.c3_1 tptp.a1021)) (tptp.c2_1 tptp.a1021))) (or (not tptp.hskp30) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1022)) (tptp.c3_1 tptp.a1022) (tptp.c1_1 tptp.a1022))) (or (not tptp.hskp31) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1028) (not (tptp.c1_1 tptp.a1028)) (tptp.c3_1 tptp.a1028))) (or (not tptp.hskp32) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1029)) (tptp.c1_1 tptp.a1029) (tptp.c2_1 tptp.a1029))) (or (not tptp.hskp33) _let_66) (or (not tptp.hskp34) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1032)) (not (tptp.c1_1 tptp.a1032)) (tptp.c3_1 tptp.a1032))) (or (not tptp.hskp35) _let_61) (or (not tptp.hskp36) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1034) (not (tptp.c0_1 tptp.a1034)) (tptp.c1_1 tptp.a1034))) (or (not tptp.hskp37) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1037)) (tptp.c0_1 tptp.a1037) (tptp.c3_1 tptp.a1037))) (or (not tptp.hskp38) _let_58) (or (not tptp.hskp39) _let_57) (or (not tptp.hskp40) _let_52) (or (not tptp.hskp41) _let_47) (or _let_42 _let_41) (or _let_36 _let_35) (or (not tptp.hskp44) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1051) (not (tptp.c2_1 tptp.a1051)) (tptp.c0_1 tptp.a1051))) (or (not tptp.hskp45) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1052) (tptp.c3_1 tptp.a1052) (tptp.c2_1 tptp.a1052))) (or (not tptp.hskp46) _let_31) (or (not tptp.hskp47) _let_30) (or (not tptp.hskp48) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1062) (tptp.c2_1 tptp.a1062) (tptp.c0_1 tptp.a1062))) (or (not tptp.hskp49) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1065)) (not (tptp.c2_1 tptp.a1065)) (tptp.c1_1 tptp.a1065))) (or (not tptp.hskp50) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1069)) (tptp.c3_1 tptp.a1069) (tptp.c1_1 tptp.a1069))) (or (not tptp.hskp51) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1070) (not (tptp.c1_1 tptp.a1070)) (tptp.c0_1 tptp.a1070))) (or (not tptp.hskp52) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1071) (tptp.c0_1 tptp.a1071) (tptp.c3_1 tptp.a1071))) (or (not tptp.hskp53) _let_26) (or (not tptp.hskp54) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1074) (tptp.c0_1 tptp.a1074) (tptp.c2_1 tptp.a1074))) (or (not tptp.hskp55) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1081) (not (tptp.c0_1 tptp.a1081)) (tptp.c3_1 tptp.a1081))) (or _let_22 _let_21) (or _let_15 _let_14) (or (not tptp.hskp58) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1086)) (tptp.c2_1 tptp.a1086) (tptp.c3_1 tptp.a1086))) (or (not tptp.hskp59) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1095)) (not (tptp.c3_1 tptp.a1095)) (tptp.c1_1 tptp.a1095))) (or (not tptp.hskp60) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1097) (not (tptp.c0_1 tptp.a1097)) (tptp.c3_1 tptp.a1097))) (or (not tptp.hskp61) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1099)) (not (tptp.c0_1 tptp.a1099)) (tptp.c2_1 tptp.a1099))) (or (not tptp.hskp62) _let_10) (or _let_6 _let_5) (or tptp.hskp0 tptp.hskp29 tptp.hskp30) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 U)) (tptp.c2_1 U) (tptp.c1_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 V) (not (tptp.c0_1 V)) (not (tptp.c2_1 V))))) tptp.hskp1) (or tptp.hskp2 (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 W) (tptp.c2_1 W) (tptp.c0_1 W)))) (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X)) (not (tptp.c1_1 X)) (not (tptp.c3_1 X)))))) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 Y) (tptp.c3_1 Y) (tptp.c0_1 Y)))) tptp.hskp3 (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Z) (not (tptp.c0_1 Z)) (tptp.c2_1 Z))))) (or tptp.hskp4 tptp.hskp5 (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X1)) (not (tptp.c2_1 X1)) (tptp.c3_1 X1))))) (or tptp.hskp31 (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X2)) (not (tptp.c1_1 X2)) (tptp.c2_1 X2)))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X3)) (tptp.c1_1 X3) (tptp.c3_1 X3))))) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X4)) (not (tptp.c0_1 X4)) (tptp.c3_1 X4)))) tptp.hskp32 tptp.hskp6) (or tptp.hskp33 (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X5)) (tptp.c2_1 X5) (tptp.c0_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X6)) (not (tptp.c3_1 X6)) (not (tptp.c2_1 X6)))))) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X7) (not (tptp.c1_1 X7)) (tptp.c3_1 X7)))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X8) (tptp.c1_1 X8) (not (tptp.c0_1 X8))))) tptp.hskp34) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X9) (tptp.c0_1 X9) (tptp.c3_1 X9)))) tptp.hskp35 (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c2_1 X10) (not (tptp.c3_1 X10)))))) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X11) (not (tptp.c1_1 X11)) (tptp.c0_1 X11)))) tptp.hskp36 tptp.hskp7) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X12)) (not (tptp.c1_1 X12)) (tptp.c0_1 X12)))) tptp.hskp8 tptp.hskp37) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c3_1 X13) (tptp.c2_1 X13)))) tptp.hskp9 (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (not (tptp.c3_1 X14)) (tptp.c1_1 X14))))) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X15) (tptp.c2_1 X15) (tptp.c0_1 X15)))) tptp.hskp10) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X16)) (tptp.c2_1 X16) (not (tptp.c0_1 X16))))) tptp.hskp38 (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X17)) (not (tptp.c3_1 X17)) (tptp.c1_1 X17))))) (or tptp.hskp11 (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X18)) (not (tptp.c3_1 X18)) (not (tptp.c1_1 X18))))) tptp.hskp39) (or tptp.hskp12 (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X19)) (not (tptp.c1_1 X19)) (not (tptp.c0_1 X19))))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X20)) (tptp.c2_1 X20) (not (tptp.c0_1 X20)))))) (or tptp.hskp40 tptp.hskp41 (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X21)) (tptp.c1_1 X21) (not (tptp.c2_1 X21)))))) (or tptp.hskp42 (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X22) (tptp.c0_1 X22) (not (tptp.c2_1 X22))))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X23)) (not (tptp.c3_1 X23)) (tptp.c2_1 X23))))) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X24)) (tptp.c2_1 X24) (not (tptp.c1_1 X24))))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X25) (not (tptp.c0_1 X25)) (not (tptp.c3_1 X25))))) tptp.hskp4) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X26)) (not (tptp.c2_1 X26)) (tptp.c3_1 X26)))) tptp.hskp13 tptp.hskp43) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (not (tptp.c2_1 X27)) (not (tptp.c3_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X28)) (not (tptp.c3_1 X28)) (not (tptp.c2_1 X28))))) tptp.hskp7) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X29) (tptp.c3_1 X29) (tptp.c2_1 X29)))) tptp.hskp44 tptp.hskp45) (or tptp.hskp46 tptp.hskp38 tptp.hskp14) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X30)) (not (tptp.c2_1 X30)) (tptp.c1_1 X30)))) tptp.hskp47 (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X31)) (not (tptp.c0_1 X31)) (tptp.c3_1 X31))))) (or tptp.hskp10 (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X32)) (tptp.c0_1 X32) (not (tptp.c2_1 X32))))) tptp.hskp43) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X33)) (tptp.c2_1 X33) (tptp.c0_1 X33)))) tptp.hskp15 tptp.hskp33) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (tptp.c3_1 X34)))) tptp.hskp36 tptp.hskp48) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X35)) (tptp.c3_1 X35) (tptp.c2_1 X35)))) tptp.hskp42 tptp.hskp16) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X36)) (tptp.c2_1 X36) (not (tptp.c0_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X37) (tptp.c1_1 X37) (tptp.c0_1 X37)))) tptp.hskp49) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X38) (tptp.c2_1 X38) (tptp.c0_1 X38)))) tptp.hskp1 (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X39) (tptp.c2_1 X39) (not (tptp.c0_1 X39)))))) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X40) (tptp.c3_1 X40) (tptp.c0_1 X40)))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (not (tptp.c2_1 X41)) (tptp.c1_1 X41)))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X42) (tptp.c1_1 X42) (not (tptp.c2_1 X42)))))) (or tptp.hskp7 (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X43)) (not (tptp.c1_1 X43)) (tptp.c3_1 X43)))) tptp.hskp12) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (not (tptp.c2_1 X44)) (not (tptp.c1_1 X44))))) tptp.hskp50 tptp.hskp51) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X45)) (tptp.c0_1 X45) (tptp.c1_1 X45)))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X46)) (tptp.c3_1 X46) (tptp.c1_1 X46)))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X47) (tptp.c1_1 X47) (tptp.c2_1 X47))))) (or tptp.hskp52 tptp.hskp34 (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X48)) (tptp.c1_1 X48) (not (tptp.c0_1 X48)))))) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X49)) (not (tptp.c3_1 X49)) (not (tptp.c0_1 X49))))) tptp.hskp53 (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X50)) (tptp.c1_1 X50) (not (tptp.c2_1 X50)))))) (or tptp.hskp54 tptp.hskp47 (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X51)) (not (tptp.c2_1 X51)) (not (tptp.c1_1 X51)))))) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X52)) (not (tptp.c1_1 X52)) (not (tptp.c3_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X53) (not (tptp.c0_1 X53)) (tptp.c1_1 X53)))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X54)) (not (tptp.c1_1 X54)) (tptp.c3_1 X54))))) (or tptp.hskp39 tptp.hskp17 tptp.hskp18) (or tptp.hskp19 (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X55) (not (tptp.c0_1 X55)) (tptp.c3_1 X55)))) tptp.hskp20) (or tptp.hskp55 (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X56)) (tptp.c2_1 X56) (tptp.c1_1 X56)))) tptp.hskp21) (or tptp.hskp22 (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X57)) (tptp.c2_1 X57) (not (tptp.c3_1 X57))))) tptp.hskp56) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X58)) (tptp.c0_1 X58) (tptp.c2_1 X58)))) (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (tptp.c3_1 X59) (tptp.c1_1 X59)))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X60) (not (tptp.c1_1 X60)) (tptp.c2_1 X60))))) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X61)) (not (tptp.c3_1 X61)) (tptp.c2_1 X61)))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X62)) (not (tptp.c3_1 X62)) (tptp.c1_1 X62)))) tptp.hskp57) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X63) (not (tptp.c1_1 X63)) (not (tptp.c3_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X64)) (tptp.c1_1 X64) (tptp.c2_1 X64)))) tptp.hskp58) (or tptp.hskp33 tptp.hskp23 (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X65)) (not (tptp.c2_1 X65)) (not (tptp.c3_1 X65)))))) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X66) (not (tptp.c1_1 X66)) (not (tptp.c3_1 X66))))) (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c0_1 X67) (tptp.c3_1 X67)))) tptp.hskp24) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X68)) (not (tptp.c2_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp36 (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X69)) (tptp.c0_1 X69) (not (tptp.c3_1 X69)))))) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X70) (not (tptp.c1_1 X70)) (tptp.c0_1 X70)))) tptp.hskp25 (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X71)) (not (tptp.c1_1 X71)) (not (tptp.c3_1 X71)))))) (or tptp.hskp51 (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X72)) (not (tptp.c3_1 X72)) (not (tptp.c2_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (not (tptp.c0_1 X73)) (tptp.c2_1 X73))))) (or tptp.hskp48 (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X74) (tptp.c2_1 X74) (tptp.c1_1 X74)))) tptp.hskp14) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X75) (not (tptp.c2_1 X75)) (not (tptp.c3_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X76) (tptp.c1_1 X76) (not (tptp.c2_1 X76))))) (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X77) (tptp.c1_1 X77) (tptp.c2_1 X77))))) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X78)) (not (tptp.c0_1 X78)) (not (tptp.c2_1 X78))))) (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X79)) (not (tptp.c0_1 X79)) (not (tptp.c3_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X80)) (not (tptp.c1_1 X80)) (not (tptp.c2_1 X80)))))) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X81)) (tptp.c2_1 X81) (not (tptp.c1_1 X81))))) tptp.hskp59 (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X82)) (tptp.c0_1 X82) (tptp.c2_1 X82))))) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X83)) (not (tptp.c3_1 X83)) (tptp.c0_1 X83)))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X84) (tptp.c3_1 X84) (not (tptp.c1_1 X84))))) tptp.hskp35) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X85)) (tptp.c1_1 X85) (tptp.c2_1 X85)))) tptp.hskp60 tptp.hskp26) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X86)) (not (tptp.c1_1 X86)) (tptp.c0_1 X86)))) (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X87)) (tptp.c3_1 X87) (tptp.c2_1 X87)))) tptp.hskp61) (or tptp.hskp43 tptp.hskp27 tptp.hskp28) (or tptp.hskp62 tptp.hskp56 tptp.hskp63)))))) (let ((_let_117 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_118 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_121 (not _let_117))) (let ((_let_122 (or _let_121 _let_120 _let_119))) (let ((_let_123 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_121 _let_124 _let_119))) (let ((_let_126 (forall ((X6 $$unsorted)) (or (not (tptp.c1_1 X6)) (not (tptp.c3_1 X6)) (not (tptp.c2_1 X6)))))) (let ((_let_127 (not _let_125))) (let ((_let_128 (not _let_9))) (let ((_let_129 (not _let_8))) (let ((_let_130 (not _let_7))) (let ((_let_131 (or _let_130 _let_129 _let_128))) (let ((_let_132 (not _let_126))) (let ((_let_133 (not _let_131))) (let ((_let_134 (not _let_1))) (let ((_let_135 (not _let_2))) (let ((_let_136 (or _let_135 _let_134 _let_3))) (let ((_let_137 (not _let_5))) (let ((_let_138 (forall ((X23 $$unsorted)) (or (not (tptp.c1_1 X23)) (not (tptp.c3_1 X23)) (tptp.c2_1 X23))))) (let ((_let_139 (forall ((X22 $$unsorted)) (or (tptp.c1_1 X22) (tptp.c0_1 X22) (not (tptp.c2_1 X22)))))) (let ((_let_140 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_141 (not _let_140))) (let ((_let_142 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_143 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_144 (or _let_143 _let_142 _let_141))) (let ((_let_145 (not _let_139))) (let ((_let_146 (not _let_144))) (let ((_let_147 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_148 (not _let_147))) (let ((_let_149 (not _let_142))) (let ((_let_150 (or _let_149 _let_148 _let_141))) (let ((_let_151 (forall ((X28 $$unsorted)) (or (not (tptp.c0_1 X28)) (not (tptp.c3_1 X28)) (not (tptp.c2_1 X28)))))) (let ((_let_152 (forall ((X50 $$unsorted)) (or (not (tptp.c3_1 X50)) (tptp.c1_1 X50) (not (tptp.c2_1 X50)))))) (let ((_let_153 (not _let_62))) (let ((_let_154 (not _let_65))) (let ((_let_155 (or _let_154 _let_63 _let_153))) (let ((_let_156 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_157 (not _let_156))) (let ((_let_158 (tptp.c1_1 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(tptp.c3_1 X49)) (not (tptp.c0_1 X49)))))) (let ((_let_360 (not _let_23))) (let ((_let_361 (not _let_25))) (let ((_let_362 (not _let_24))) (let ((_let_363 (or _let_362 _let_361 _let_360))) (let ((_let_364 (not _let_363))) (let ((_let_365 (not _let_26))) (let ((_let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_250 :args (tptp.a1073 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_249)) :args _let_248)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_363)) :args ((or _let_361 _let_362 _let_360 _let_364))) (REORDERING (CNF_AND_POS :args (_let_26 3)) :args ((or _let_23 _let_365))) (REORDERING (CNF_AND_POS :args (_let_26 2)) :args ((or _let_24 _let_365))) (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_25 _let_365))) :args ((or _let_365 _let_364) false _let_23 false _let_24 false _let_25)) _let_246 (AND_ELIM _let_202 :args (53)) _let_244 (AND_ELIM _let_202 :args (100)) _let_205 _let_238 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_151 (= X28 X49))) 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true _let_102)) (MACRO_RESOLUTION_TRUST _let_504 (MACRO_RESOLUTION_TRUST _let_510 (MACRO_RESOLUTION_TRUST _let_511 (MACRO_RESOLUTION_TRUST _let_513 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_581)) :args ((or _let_486 _let_484 _let_490 (not _let_581)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)) (MACRO_RESOLUTION_TRUST _let_535 _let_534 (MACRO_RESOLUTION_TRUST _let_537 (MACRO_RESOLUTION_TRUST _let_567 _let_569 _let_205 _let_568 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_565 :args (tptp.a1043 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_564)) :args _let_563)) _let_566 (REORDERING (CNF_OR_POS :args (_let_585)) :args ((or _let_93 _let_90 _let_582 (not _let_585)))) _let_546 (REORDERING (CNF_OR_POS :args (_let_584)) :args ((or _let_93 _let_497 _let_583 (not _let_584)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (tptp.a1043 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_216)) _let_547 :args (_let_584 false _let_181)) _let_542 _let_541 _let_540 _let_539 :args (_let_538 false _let_561 false tptp.ndr1_0 true _let_562 true _let_559 true _let_560 true _let_585 true _let_452 true _let_582 false _let_584 true _let_498 true _let_90 false _let_92 true _let_93)) :args (_let_96 true _let_95)) _let_205 :args (_let_489 true tptp.hskp7 true tptp.hskp12 false tptp.ndr1_0)) :args (_let_581 false _let_489)) _let_524 _let_517 _let_523 _let_522 _let_521 :args (_let_487 false _let_581 true _let_490 false _let_492 false _let_481 false _let_483 false _let_485)) :args (_let_234 false _let_487)) :args (_let_476 false _let_234)) :args (_let_505 false _let_476)) :args (_let_36 true _let_35)) _let_205 :args (_let_580 true tptp.hskp10 true tptp.hskp43 false tptp.ndr1_0)) :args (_let_122 false _let_580)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_125 0)) (CONG _let_579 (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_117))) :args _let_222)) :args ((or _let_117 _let_125))) _let_578 :args (_let_117 true _let_125)) :args (false true _let_120 false _let_118 false _let_122 false _let_117)) :args (_let_116 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.63/0.86  )
% 0.63/0.86  % SZS output end Proof for SYN447+1
% 0.63/0.86  % cvc5---1.0.5 exiting
% 0.63/0.86  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------