TSTP Solution File: SWC126+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC126+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 : Thu Aug 31 20:23:27 EDT 2023
% Result : Theorem 31.62s 31.83s
% Output : Proof 31.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC126+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n015.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 : Mon Aug 28 15:55:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 31.62/31.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HC7muHc93S/cvc5---1.0.5_12279.p...
% 31.62/31.83 ------- get file name : TPTP file name is SWC126+1
% 31.62/31.83 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12279.smt2...
% 31.62/31.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 31.62/31.83 --- Run --no-e-matching --full-saturate-quant at 5...
% 31.62/31.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 31.62/31.83 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 31.62/31.83 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 31.62/31.83 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 31.62/31.83 % SZS status Theorem for SWC126+1
% 31.62/31.83 % SZS output start Proof for SWC126+1
% 31.62/31.83 (
% 31.62/31.83 (let ((_let_1 (not (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (let ((_let_1 (not (tptp.neq V tptp.nil)))) (=> (tptp.ssList X) (or (not (= V X)) (not (= U W)) (and (or _let_1 (forall ((Y $$unsorted)) (=> (tptp.ssItem Y) (or (not (= (tptp.cons Y tptp.nil) W)) (not (tptp.memberP X Y))))) (and (tptp.neq U tptp.nil) (tptp.segmentP V U))) (or _let_1 (tptp.neq X tptp.nil)))))))))))))))) (let ((_let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))))) (let ((_let_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (=> (tptp.segmentP U V) (tptp.segmentP (tptp.app (tptp.app W U) X) V)))))))))))) (let ((_let_5 (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.segmentP U U))))) (let ((_let_6 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))))) (let ((_let_7 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (not (= (tptp.cons V U) U)))))))) (let ((_let_8 (tptp.ssList tptp.nil))) (let ((_let_9 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))))) (let ((_let_10 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.neq U V) (not (= U V))))))))) (let ((_let_11 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.memberP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (exists ((X $$unsorted)) (and (tptp.ssList X) (= (tptp.app W (tptp.cons V X)) U)))))))))))) (let ((_let_12 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.nil))) (let ((_let_13 (tptp.app tptp.nil _let_12))) (let ((_let_14 (= _let_12 _let_13))) (let ((_let_15 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_16 (= _let_15 (tptp.app _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (let ((_let_17 (tptp.segmentP _let_15 _let_12))) (let ((_let_18 (tptp.segmentP (tptp.app _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) _let_12))) (let ((_let_19 (tptp.ssList _let_12))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_14))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (tptp.memberP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12))) (let ((_let_29 (tptp.neq _let_12 tptp.nil))) (let ((_let_30 (and _let_29 _let_28))) (let ((_let_31 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_20 _let_32 (not (tptp.neq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil)) _let_30 _let_27 _let_25))) (let ((_let_34 (forall ((BOUND_VARIABLE_5334 $$unsorted) (BOUND_VARIABLE_5332 $$unsorted)) (let ((_let_1 (tptp.cons BOUND_VARIABLE_5334 tptp.nil))) (or (not (tptp.ssList _let_1)) (not (tptp.ssList BOUND_VARIABLE_5332)) (not (tptp.neq BOUND_VARIABLE_5332 tptp.nil)) (and (tptp.neq _let_1 tptp.nil) (tptp.segmentP BOUND_VARIABLE_5332 _let_1)) (not (tptp.ssItem BOUND_VARIABLE_5334)) (not (tptp.memberP BOUND_VARIABLE_5332 BOUND_VARIABLE_5334))))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or))) (let ((_let_38 (not _let_34))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_38))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_37)) _let_36 :args (_let_35 true _let_34)))) (let ((_let_40 (REFL :args (_let_33)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_37)) :args ((or _let_19 _let_33))) _let_39 :args (_let_19 true _let_33)))) (let ((_let_42 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_27 _let_16))) (let ((_let_45 (forall ((U $$unsorted) (BOUND_VARIABLE_4783 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_4783)) (= (tptp.cons BOUND_VARIABLE_4783 U) (tptp.app (tptp.cons BOUND_VARIABLE_4783 tptp.nil) U)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_15))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_47))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_43 _let_49))) (let ((_let_53 (forall ((W $$unsorted) (BOUND_VARIABLE_2137 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2137)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.app W (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 BOUND_VARIABLE_2137)))))))) (let ((_let_54 (not _let_52))) (let ((_let_55 (not _let_53))) (let ((_let_56 (= _let_24 _let_55))) (let ((_let_57 (or _let_32 _let_27 _let_56))) (let ((_let_58 (forall ((U $$unsorted) (BOUND_VARIABLE_2163 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_2163)) (= (tptp.memberP U BOUND_VARIABLE_2163) (not (forall ((W $$unsorted) (BOUND_VARIABLE_2137 $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssList BOUND_VARIABLE_2137)) (not (= U (tptp.app W (tptp.cons BOUND_VARIABLE_2163 BOUND_VARIABLE_2137)))))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 4)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_37)) :args ((or _let_26 _let_33))) _let_39 :args (_let_26 true _let_33)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_37)) :args ((or _let_31 _let_33))) _let_39 :args (_let_31 true _let_33)))) (let ((_let_62 (_let_55))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_53))) (REFL :args (_let_54)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or _let_25 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 5)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_37)) :args ((or _let_24 _let_33))) _let_39 :args (_let_24 true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_32 _let_27 _let_56 (not _let_57)))) _let_61 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.memberP U BOUND_VARIABLE_2163)))) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_56 false _let_31 false _let_26 false _let_57)) :args (_let_55 false _let_24 false _let_56)) :args (_let_54 true _let_53)))) (let ((_let_64 (REFL :args (_let_52)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_37)) :args ((or _let_42 _let_52))) _let_63 :args (_let_42 true _let_52)))) (let ((_let_66 (tptp.segmentP (tptp.app _let_47 tptp.nil) _let_12))) (let ((_let_67 (not _let_8))) (let ((_let_68 (not _let_17))) (let ((_let_69 (tptp.ssList _let_15))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_20 _let_68 _let_51 _let_67 _let_66))) (let ((_let_72 (forall ((U $$unsorted) (BOUND_VARIABLE_4446 $$unsorted) (BOUND_VARIABLE_4444 $$unsorted) (BOUND_VARIABLE_4442 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_4442)) (not (tptp.segmentP U BOUND_VARIABLE_4442)) (not (tptp.ssList BOUND_VARIABLE_4446)) (not (tptp.ssList BOUND_VARIABLE_4444)) (tptp.segmentP (tptp.app (tptp.app BOUND_VARIABLE_4446 U) BOUND_VARIABLE_4444) BOUND_VARIABLE_4442))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil)))) (let ((_let_76 (not _let_66))) (let ((_let_77 (or _let_32 _let_75))) (let ((_let_78 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (not _let_28))) (let ((_let_81 (= tptp.nil _let_12))) (let ((_let_82 (not _let_81))) (let ((_let_83 (= _let_29 _let_82))) (let ((_let_84 (or _let_20 _let_67 _let_83))) (let ((_let_85 (forall ((U $$unsorted) (BOUND_VARIABLE_3272 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3272)) (= (tptp.neq U BOUND_VARIABLE_3272) (not (= U BOUND_VARIABLE_3272))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (ASSUME :args (_let_8)))) (let ((_let_88 (or _let_67 _let_27 _let_82))) (let ((_let_89 (forall ((U $$unsorted) (BOUND_VARIABLE_3320 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_3320)) (not (= U (tptp.cons BOUND_VARIABLE_3320 U))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (not _let_83))) (let ((_let_92 (and _let_80 _let_75 _let_48))) (let ((_let_93 (_let_80 _let_75 _let_48))) (let ((_let_94 (ASSUME :args (_let_80)))) (let ((_let_95 (APPLY_UF tptp.segmentP))) (let ((_let_96 (REFL :args (_let_12)))) (let ((_let_97 (ASSUME :args (_let_75)))) (let ((_let_98 (APPLY_UF tptp.app))) (let ((_let_99 (ASSUME :args (_let_48)))) (let ((_let_100 (or _let_43 _let_27 _let_69))) (let ((_let_101 (forall ((U $$unsorted) (BOUND_VARIABLE_3295 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_3295)) (tptp.ssList (tptp.cons BOUND_VARIABLE_3295 U)))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (tptp.segmentP _let_12 _let_12))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_20 _let_20 _let_104 _let_67 _let_43 _let_18))) (let ((_let_106 (or _let_20 _let_103))) (let ((_let_107 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (ASSUME :args (_let_18)))) (let ((_let_110 (ASSUME :args (_let_14)))) (let ((_let_111 (ASSUME :args (_let_16)))) (let ((_let_112 (ASSUME :args (_let_68)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_109 _let_110 _let_111 _let_112) :args (_let_14 _let_68 _let_16 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_112)) (CONG (TRANS (SYMM (SYMM _let_111)) (CONG (SYMM (SYMM _let_110)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) :args _let_98)) _let_96 :args _let_95) (TRUE_INTRO _let_109))) :args (_let_18 _let_14 _let_16 _let_68)) :args ((not (and _let_14 _let_68 _let_16 _let_18)) SB_LITERAL))) (CONG (REFL :args ((not _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_17))) (REFL :args ((not _let_16))) (REFL :args ((not _let_18))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_105))) :args ((or _let_67 _let_20 _let_104 _let_43 _let_18 (not _let_105)))) _let_87 _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_20 _let_103 (not _let_106)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_107))) _let_108 :args (_let_106 false _let_107)) :args (_let_103 false _let_19 false _let_106)) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_12 tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74)) _let_73 :args (_let_105 false _let_72)) :args (_let_18 false _let_8 false _let_19 false _let_103 false _let_42 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_67 _let_20 _let_51 _let_70 _let_68 _let_66 (not _let_71)))) _let_87 _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_37)) :args ((or _let_50 _let_52))) _let_63 :args (_let_50 true _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_27 _let_43 _let_69 (not _let_100)))) _let_60 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_101))) _let_102 :args (_let_100 false _let_101)) :args (_let_69 false _let_26 false _let_42 false _let_100)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_92)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_97 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_99) (REFL :args (tptp.nil)) :args _let_98) (SYMM _let_97)) _let_96 :args _let_95) (FALSE_INTRO _let_94))) :args _let_93)) :args _let_93)) :args (true _let_92)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_28))) (REFL :args ((not _let_75))) (REFL :args (_let_49)) (REFL :args (_let_76)) :args _let_37)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 3)) _let_39 :args ((not _let_30) true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_83)) (CONG (REFL :args (_let_91)) (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) :args _let_37)) :args ((or _let_29 _let_81 _let_91))) 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$$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app W V) (tptp.app U V)) (= W U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app V W) (tptp.app V U)) (= W U)))))))) _let_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.app (tptp.app U V) W) (tptp.app U (tptp.app V W))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (= tptp.nil (tptp.app U V)) (and (= tptp.nil V) (= tptp.nil U))))))) _let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.hd (tptp.app U V)) (tptp.hd U))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.tl (tptp.app U V)) (tptp.app (tptp.tl U) V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (and (tptp.geq U V) (tptp.geq V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.geq U V) (tptp.geq V W)) (tptp.geq U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.geq U U))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (not (tptp.lt U U)))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.leq U V) (tptp.lt V W)) (tptp.lt U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.leq U V) (or (= U V) (tptp.lt U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.lt U V) (and (not (= U V)) (tptp.leq U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.gt U V) (not (tptp.gt V U))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.gt U V) (tptp.gt V W)) (tptp.gt U W)))))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.62/31.84 )
% 31.62/31.84 % SZS output end Proof for SWC126+1
% 31.62/31.84 % cvc5---1.0.5 exiting
% 31.62/31.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------