TSTP Solution File: SWW102+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 00:19:49 EDT 2023
% Result : Theorem 0.21s 0.63s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 20:22:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.63 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FC4YV2ufQf/cvc5---1.0.5_1298.p...
% 0.21/0.63 ------- get file name : TPTP file name is SWW102+1
% 0.21/0.63 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1298.smt2...
% 0.21/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63 % SZS status Theorem for SWW102+1
% 0.21/0.63 % SZS output start Proof for SWW102+1
% 0.21/0.63 (
% 0.21/0.63 (let ((_let_1 (forall ((P $$unsorted)) (= (tptp.not1 P) (tptp.not2 P))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((P $$unsorted)) (= (tptp.not2 P) (tptp.impl P tptp.false2))))) (let ((_let_4 (tptp.not1 tptp.true))) (let ((_let_5 (= _let_4 tptp.false))) (let ((_let_6 (tptp.not1 tptp.false))) (let ((_let_7 (= _let_6 tptp.true))) (let ((_let_8 (forall ((A $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.not1 A) (tptp.phi A)))))) (let ((_let_9 (exists ((P $$unsorted)) (and (= tptp.false2 (tptp.phi (tptp.f7 P))) (not (exists ((P1 $$unsorted)) (tptp.forallprefers (tptp.f7 P1) (tptp.f7 P)))))))) (let ((_let_10 (forall ((P $$unsorted)) (= (tptp.f7 P) (tptp.lazy_impl (tptp.prop P) P))))) (let ((_let_11 (forall ((B $$unsorted)) (= (tptp.lazy_and1 tptp.true B) (tptp.phi B))))) (let ((_let_12 (forall ((B $$unsorted)) (= (tptp.lazy_impl tptp.true B) (tptp.phi B))))) (let ((_let_13 (forall ((B $$unsorted)) (= (tptp.lazy_impl tptp.false B) tptp.true)))) (let ((_let_14 (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.impl tptp.true B) B))))) (let ((_let_15 (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.impl tptp.false B) tptp.true))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.impl A B) (tptp.phi A)))))) (let ((_let_17 (forall ((X $$unsorted)) (= (= (tptp.prop X) tptp.false) (not (tptp.bool X)))))) (let ((_let_18 (forall ((X $$unsorted)) (= (= (tptp.prop X) tptp.true) (tptp.bool X))))) (let ((_let_19 (forall ((X $$unsorted)) (let ((_let_1 (tptp.phi X))) (let ((_let_2 (tptp.d X))) (or (and _let_2 (= _let_1 X)) (and (not _let_2) (= _let_1 tptp.err)))))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.d Y))) (let ((_let_2 (tptp.d X))) (= (tptp.forallprefers X Y) (or (and (not _let_2) _let_1) (and _let_2 _let_1 (not (tptp.bool X)) (tptp.bool Y)) (and (= X tptp.false) (= Y tptp.true))))))))) (let ((_let_21 (tptp.d tptp.false))) (let ((_let_22 (tptp.d tptp.true))) (let ((_let_23 (and _let_22 _let_21 (tptp.d tptp.err)))) (let ((_let_24 (= tptp.false tptp.err))) (let ((_let_25 (= tptp.true tptp.err))) (let ((_let_26 (and (not (= tptp.true tptp.false)) (not _let_25) (not _let_24)))) (let ((_let_27 (forall ((X $$unsorted)) (= (tptp.bool X) (or (= X tptp.false) (= X tptp.true)))))) (let ((_let_28 (= tptp.true _let_6))) (let ((_let_29 (tptp.not2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (tptp.not1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (= _let_30 _let_29))) (let ((_let_32 (tptp.f7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (tptp.phi _let_32))) (let ((_let_34 (= tptp.false2 _let_33))) (let ((_let_35 (= _let_33 (tptp.lazy_and1 tptp.true _let_32)))) (let ((_let_36 (tptp.prop SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (= _let_32 (tptp.lazy_impl _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_38 (tptp.phi tptp.false))) (let ((_let_39 (= tptp.false _let_38))) (let ((_let_40 (= _let_38 (tptp.lazy_impl tptp.true tptp.false)))) (let ((_let_41 (= _let_38 (tptp.lazy_and1 tptp.true tptp.false)))) (let ((_let_42 (= (tptp.not2 tptp.false) (tptp.impl tptp.false tptp.false2)))) (let ((_let_43 (tptp.prop tptp.false))) (let ((_let_44 (= tptp.true _let_43))) (let ((_let_45 (= tptp.true (tptp.impl tptp.false tptp.false)))) (let ((_let_46 (= tptp.true _let_36))) (let ((_let_47 (= tptp.false SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (= tptp.false SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (SYMM (ASSUME :args (_let_7))))) (let ((_let_50 (not _let_31))) (let ((_let_51 (_let_2))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (or))) (let ((_let_54 (_let_50))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_52) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_54) :args _let_53)) _let_52 :args (_let_50 true _let_1)))) (let ((_let_56 (forall ((P1 $$unsorted)) (not (tptp.forallprefers (tptp.f7 P1) (tptp.f7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_57 (not _let_56))) (let ((_let_58 (not _let_34))) (let ((_let_59 (or _let_58 _let_57))) (let ((_let_60 (forall ((P $$unsorted)) (or (not (= tptp.false2 (tptp.phi (tptp.f7 P)))) (not (forall ((P1 $$unsorted)) (not (tptp.forallprefers (tptp.f7 P1) (tptp.f7 P))))))))) (let ((_let_61 (not _let_59))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (not _let_60))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_62) :args (_let_63))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_60))) (REFL :args (_let_61)) :args _let_53)) _let_62 :args (_let_61 true _let_60)))) (let ((_let_65 (REFL :args (_let_59)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_34))) :args _let_53)) :args ((or _let_34 _let_59))) _let_64 :args (_let_34 true _let_59)))) (let ((_let_67 (_let_11))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((tptp.phi B)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67))) _let_68 :args (_let_35 false _let_11)))) (let ((_let_71 (_let_10))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f7 P)))) :args _let_71)) _let_72 :args (_let_37 false _let_10)))) (let ((_let_74 (and _let_21 _let_39))) (let ((_let_75 (not _let_21))) (let ((_let_76 (and _let_75 (= tptp.err _let_38)))) (let ((_let_77 (or _let_74 _let_76))) (let ((_let_78 (forall ((X $$unsorted)) (let ((_let_1 (tptp.phi X))) (let ((_let_2 (tptp.d X))) (or (and _let_2 (= X _let_1)) (and (not _let_2) (= tptp.err _let_1)))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 ((tptp.d X)))) (let ((_let_82 (not _let_76))) (let ((_let_83 (1))) (let ((_let_84 (ASSUME :args (_let_23)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_39 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_74 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 0)) :args ((or _let_75 _let_82))) (AND_ELIM _let_84 :args _let_83) :args (_let_82 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_77 false _let_78)) :args (_let_74 true _let_76 false _let_77)) :args (_let_39 false _let_74)))) (let ((_let_86 (_let_12))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.phi B)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_86))) _let_87 :args (_let_40 false _let_12)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67))) _let_68 :args (_let_41 false _let_11)))) (let ((_let_91 (_let_3))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (tptp.bool tptp.false))) (let ((_let_94 (= _let_93 _let_44))) (let ((_let_95 (forall ((X $$unsorted)) (= (tptp.bool X) (= tptp.true (tptp.prop X)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 ((tptp.bool X)))) (let ((_let_99 (= _let_6 _let_38))) (let ((_let_100 (or _let_93 _let_99))) (let ((_let_101 (forall ((A $$unsorted)) (or (tptp.bool A) (= (tptp.not1 A) (tptp.phi A)))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 ((tptp.not1 A)))) (let ((_let_105 (tptp.prop tptp.err))) (let ((_let_106 (= tptp.false _let_105))) (let ((_let_107 (= tptp.true _let_105))) (let ((_let_108 (not _let_99))) (let ((_let_109 (tptp.bool tptp.err))) (let ((_let_110 (not _let_109))) (let ((_let_111 (= _let_110 _let_106))) (let ((_let_112 (forall ((X $$unsorted)) (= (not (tptp.bool X)) (= tptp.false (tptp.prop X)))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (or _let_24 _let_25))) (let ((_let_116 (= _let_109 _let_115))) (let ((_let_117 (forall ((X $$unsorted)) (= (tptp.bool X) (or (= tptp.false X) (= tptp.true X)))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.bool X)))) (let ((_let_121 (not _let_115))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or _let_110 _let_115 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_25 _let_24 _let_121))) (AND_ELIM _let_122 :args _let_83) (AND_ELIM _let_122 :args (2)) :args (_let_121 true _let_25 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_110 true _let_115 false _let_116)))) (let ((_let_124 (not _let_111))) (let ((_let_125 (_let_106))) (let ((_let_126 (= _let_109 _let_107))) (let ((_let_127 (not _let_107))) (let ((_let_128 (not _let_106))) (let ((_let_129 (not _let_39))) (let ((_let_130 (not _let_28))) (let ((_let_131 (REFL :args (_let_129)))) (let ((_let_132 (and _let_28 _let_39 _let_106 _let_127))) (let ((_let_133 (ASSUME :args (_let_127)))) (let ((_let_134 (=))) (let ((_let_135 (ASSUME :args _let_125))) (let ((_let_136 (ASSUME :args (_let_39)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (SYMM _let_49))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_93 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_132)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_133 _let_49 _let_135 _let_136) (SCOPE (FALSE_ELIM (TRANS (CONG _let_138 (TRANS _let_137 (SYMM (SYMM _let_135))) :args _let_134) (FALSE_INTRO _let_133))) :args (_let_127 _let_28 _let_106 _let_39))) :args (_let_28 _let_39 _let_106 _let_127))) :args (true _let_132)) (CONG (REFL :args (_let_130)) _let_131 (REFL :args (_let_128)) (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_107))) (REFL :args (_let_108)) :args _let_53)) :args ((or _let_130 _let_129 _let_108 _let_107 _let_128))) _let_49 _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_126)) :args ((or _let_109 _let_127 (not _let_126)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_126 false _let_95)) :args (_let_127 true _let_109 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_111)) (CONG (REFL :args (_let_124)) (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_109))) (REFL :args _let_125) :args _let_53)) :args ((or _let_109 _let_106 _let_124))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.err QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.bool X)))) :args _let_114)) _let_113 :args (_let_111 false _let_112)) :args (_let_106 true _let_109 false _let_111)) :args (_let_108 false _let_28 false _let_39 true _let_107 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_100 false _let_101)) :args (_let_93 true _let_99 false _let_100)))) (let ((_let_140 (not _let_93))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_94)) :args ((or _let_140 _let_44 (not _let_94)))) _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_94 false _let_95)) :args (_let_44 false _let_93 false _let_94)))) (let ((_let_142 (or _let_140 _let_45))) (let ((_let_143 (forall ((B $$unsorted)) (or (not (tptp.bool B)) (= tptp.true (tptp.impl tptp.false B)))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (tptp.bool SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_146 (= _let_145 _let_46))) (let ((_let_147 (= tptp.false _let_36))) (let ((_let_148 (not _let_145))) (let ((_let_149 (= _let_148 _let_147))) (let ((_let_150 (= tptp.true (tptp.lazy_impl tptp.false SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_151 (= tptp.true _let_32))) (let ((_let_152 (not _let_147))) (let ((_let_153 (forall ((B $$unsorted)) (= tptp.true (tptp.lazy_impl tptp.false B))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (tptp.f7 tptp.false))) (let ((_let_156 (tptp.forallprefers _let_155 _let_32))) (let ((_let_157 (tptp.forallprefers tptp.false tptp.true))) (let ((_let_158 (= _let_155 (tptp.lazy_impl _let_43 tptp.false)))) (let ((_let_159 (not _let_151))) (let ((_let_160 (not _let_156))) (let ((_let_161 (_let_56))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_161) :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f7 P1)))) :args _let_161)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_53)) :args ((or _let_56 _let_59))) _let_64 :args (_let_56 true _let_59)) :args (_let_160 false _let_56)))) (let ((_let_163 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.d Y))) (let ((_let_2 (tptp.d X))) (= (tptp.forallprefers X Y) (or (and (not _let_2) _let_1) (and _let_2 _let_1 (not (tptp.bool X)) (tptp.bool Y)) (and (= tptp.false X) (= tptp.true Y))))))))) (let ((_let_164 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.false tptp.true QUANTIFIERS_INST_E_MATCHING ((tptp.d X) (tptp.bool Y)))) :args (_let_163)))) _let_164 :args (_let_157 false _let_163)))) (let ((_let_166 ((tptp.prop P)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_71)) _let_72 :args (_let_158 false _let_10)))) (let ((_let_168 (MACRO_SR_PRED_INTRO :args ((= (not _let_160) _let_156))))) (let ((_let_169 (REFL :args ((not _let_157))))) (let ((_let_170 (REFL :args ((not _let_158))))) (let ((_let_171 (not _let_40))) (let ((_let_172 (REFL :args (_let_171)))) (let ((_let_173 (not _let_44))) (let ((_let_174 (REFL :args (_let_173)))) (let ((_let_175 (ASSUME :args (_let_157)))) (let ((_let_176 (TRUE_INTRO _let_175))) (let ((_let_177 (APPLY_UF tptp.forallprefers))) (let ((_let_178 (ASSUME :args (_let_151)))) (let ((_let_179 (ASSUME :args (_let_40)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (APPLY_UF tptp.lazy_impl))) (let ((_let_182 (REFL :args (tptp.false)))) (let ((_let_183 (ASSUME :args (_let_44)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_158)))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.lazy_impl tptp.false B) tptp.true))))) :args (_let_153))) _let_154 :args (_let_150 false _let_153)) :args (_let_152 false _let_37 true _let_151 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.prop X)))) :args _let_114)) _let_113 :args (_let_149 false _let_112)) :args (_let_145 true _let_147 false _let_149)))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_146)) :args ((or _let_46 _let_148 (not _let_146)))) _let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.prop X)))) :args _let_97)) _let_96 :args (_let_146 false _let_95)) :args (_let_46 false _let_145 false _let_146)))) 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_let_263)))) _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_265 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.bool B) false))))) :args (_let_264))) _let_265 :args (_let_263 false _let_264)) :args (_let_261 false _let_93 false _let_263)) _let_89 _let_90 _let_239 :args (_let_262 false _let_214 false _let_34 true _let_31 false _let_39 false _let_35 false _let_37 false _let_250 false _let_44 false _let_46 false _let_261 false _let_40 false _let_41 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_243)) :args ((or (not _let_242) _let_241 (not _let_243)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_255)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_257 _let_260 _let_258) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_260) _let_259 :args _let_134) (FALSE_INTRO _let_257))) :args _let_256)) :args _let_256)) :args (true _let_255)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_31))) (REFL :args ((not _let_245))) (REFL :args (_let_254)) (REFL :args ((not _let_248))) :args _let_53)) _let_253 _let_55 (REORDERING (CNF_OR_POS :args (_let_249)) :args ((or _let_242 _let_248 (not _let_249)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_252 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.false2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.impl A B)))) :args (_let_251)))) _let_252 :args (_let_249 false _let_251)) (REORDERING (CNF_OR_POS :args (_let_246)) :args ((or _let_242 _let_245 (not _let_246)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_246 false _let_101)) :args (_let_242 false _let_250 true _let_31 false _let_248 false _let_249 false _let_245 false _let_246)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_243 false _let_117)) :args (_let_241 false _let_242 false _let_243)) :args (_let_48 true _let_240 false _let_241)) _let_239 _let_199 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_140 _let_45 (not _let_142)))) _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.bool B) false))))) :args (_let_143))) _let_144 :args (_let_142 false _let_143)) :args (_let_45 false _let_93 false _let_142)) _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.false QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.impl P tptp.false2)))) :args _let_91)) _let_92 :args (_let_42 false _let_3)) _let_90 _let_89 _let_85 _let_73 _let_70 _let_66 _let_55 _let_49 :args (false false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_41 false _let_40 false _let_39 false _let_37 false _let_35 false _let_34 true _let_31 false _let_28)) :args (_let_27 _let_26 _let_23 _let_20 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.d Y))) (let ((_let_2 (tptp.d X))) (= (tptp.existsprefers X Y) (or (and (not _let_2) _let_1) (and _let_2 _let_1 (not (tptp.bool X)) (tptp.bool Y)) (and (= X tptp.true) (= Y tptp.false))))))) _let_19 _let_18 _let_17 _let_16 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.impl A B) (tptp.phi B)))) _let_15 _let_14 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.lazy_impl A B) (tptp.phi A)))) _let_13 _let_12 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.and1 A B) (tptp.phi A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.and1 A B) (tptp.phi B)))) (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.and1 tptp.false B) tptp.false))) (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.and1 tptp.true B) B))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.f1 P Q R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.impl P (tptp.impl Q R)) R)))) (forall ((P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.and2 P Q) (tptp.phi (tptp.f1 P Q R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f1 P Q R1) (tptp.f1 P Q R))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.lazy_and1 A B) (tptp.phi A)))) (forall ((B $$unsorted)) (= (tptp.lazy_and1 tptp.false B) tptp.false)) _let_11 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.f2 P Q R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.lazy_impl P (tptp.impl Q R)) R)))) (forall ((P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.lazy_and2 P Q) (tptp.phi (tptp.f2 P Q R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f2 P Q R1) (tptp.f2 P Q R))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.bool A)) (= (tptp.or1 A B) (tptp.phi A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.bool A) (not (tptp.bool B))) (= (tptp.or1 A B) (tptp.phi B)))) (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.or1 tptp.true B) tptp.true))) (forall ((B $$unsorted)) (=> (tptp.bool B) (= (tptp.or1 tptp.false B) B))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.f3 P Q R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.impl P R) (tptp.impl (tptp.impl Q R) R))))) (forall ((P $$unsorted) (Q $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.or2 P Q) (tptp.phi (tptp.f3 P Q R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f3 P Q R1) (tptp.f3 P Q R))))))) (forall ((P $$unsorted)) (exists ((X $$unsorted)) (and (= (tptp.exists1 P) (tptp.phi (tptp.apply P X))) (not (exists ((X1 $$unsorted)) (tptp.existsprefers (tptp.apply P X1) (tptp.apply P X))))))) (forall ((P $$unsorted) (X $$unsorted) (R $$unsorted)) (= (tptp.f4 P X R) (tptp.impl (tptp.apply P X) R))) (forall ((P $$unsorted) (R $$unsorted)) (exists ((X $$unsorted)) (and (= (tptp.f5 P R) (tptp.phi (tptp.f4 P X R))) (not (exists ((X1 $$unsorted)) (tptp.forallprefers (tptp.f4 P X1 R) (tptp.f4 P X R))))))) (forall ((P $$unsorted) (R $$unsorted)) (= (tptp.f6 P R) (tptp.lazy_impl (tptp.prop R) (tptp.impl (tptp.f5 P R) R)))) (forall ((P $$unsorted)) (exists ((R $$unsorted)) (and (= (tptp.exists2 P) (tptp.phi (tptp.f6 P R))) (not (exists ((R1 $$unsorted)) (tptp.forallprefers (tptp.f6 P R1) (tptp.f6 P R))))))) (= tptp.false1 tptp.false) _let_10 _let_9 _let_8 _let_7 _let_5 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.64 )
% 0.21/0.64 % SZS output end Proof for SWW102+1
% 0.21/0.64 % cvc5---1.0.5 exiting
% 0.21/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------