TSTP Solution File: SWC081+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC081+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 20:23:05 EDT 2023
% Result : Theorem 25.50s 25.82s
% Output : Proof 25.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.08 % Command : do_cvc5 %s %d
% 0.06/0.26 % Computer : n007.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Aug 28 15:13:28 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.10/0.40 %----Proving TF0_NAR, FOF, or CNF
% 25.50/25.82 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.BxGqNqfH2Y/cvc5---1.0.5_15352.p...
% 25.50/25.82 ------- get file name : TPTP file name is SWC081+1
% 25.50/25.82 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15352.smt2...
% 25.50/25.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.50/25.82 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.50/25.82 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.50/25.82 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.50/25.82 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.50/25.82 % SZS status Theorem for SWC081+1
% 25.50/25.82 % SZS output start Proof for SWC081+1
% 25.50/25.82 (
% 25.50/25.82 (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)) (=> (tptp.ssList X) (or (not (= V X)) (not (= U W)) (not (tptp.neq V tptp.nil)) (exists ((Y $$unsorted)) (and (tptp.ssList Y) (tptp.neq Y tptp.nil) (tptp.segmentP V Y) (tptp.segmentP U Y))) (and (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (or (not (tptp.neq Z tptp.nil)) (not (tptp.frontsegP X Z)) (not (tptp.frontsegP W Z))))) (or (not (= tptp.nil X)) (not (= tptp.nil W)))))))))))))))) (let ((_let_2 (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_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.segmentP U U))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))))) (let ((_let_5 (tptp.ssList tptp.nil))) (let ((_let_6 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.neq U V) (not (= U V))))))))) (let ((_let_7 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.frontsegP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (= (tptp.app V W) U)))))))))) (let ((_let_8 (tptp.app tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (let ((_let_11 (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.segmentP (tptp.app _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.frontsegP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.frontsegP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.neq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_14 _let_23 _let_21 _let_19))) (let ((_let_25 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 (not (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_28 (and _let_24 _let_27))) (let ((_let_29 (tptp.neq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.nil))) (let ((_let_30 (= _let_29 _let_26))) (let ((_let_31 (not _let_5))) (let ((_let_32 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_30))) (let ((_let_35 (forall ((U $$unsorted) (BOUND_VARIABLE_3280 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3280)) (= (tptp.neq U BOUND_VARIABLE_3280) (not (= U BOUND_VARIABLE_3280))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.neq Y tptp.nil)) (not (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (not (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_29))) (let ((_let_40 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_33 _let_39 _let_38 _let_28))) (let ((_let_43 (forall ((U $$unsorted) (BOUND_VARIABLE_5376 $$unsorted) (BOUND_VARIABLE_5374 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_5374)) (not (tptp.neq BOUND_VARIABLE_5374 tptp.nil)) (not (forall ((Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.neq Y tptp.nil)) (not (tptp.segmentP BOUND_VARIABLE_5374 Y)) (not (tptp.segmentP U Y))))) (and (or (not (tptp.ssList BOUND_VARIABLE_5376)) (not (tptp.neq BOUND_VARIABLE_5376 tptp.nil)) (not (tptp.frontsegP BOUND_VARIABLE_5374 BOUND_VARIABLE_5376)) (not (tptp.frontsegP U BOUND_VARIABLE_5376))) (or (not (= tptp.nil BOUND_VARIABLE_5374)) (not (= tptp.nil U)))))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (REFL :args (_let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_46)) :args ((or _let_32 _let_42))) _let_48 :args (_let_32 true _let_42)))) (let ((_let_51 (ASSUME :args (_let_5)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_28)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 4)) _let_48 :args ((not _let_28) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_46)) :args ((or _let_25 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or _let_39 _let_26 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 2)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_29))) :args _let_46)) :args ((or _let_29 _let_42))) _let_48 :args (_let_29 true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_31 _let_33 _let_30 (not _let_34)))) _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.nil QUANTIFIERS_INST_CBQI_PROP)) :args (_let_35)))) _let_36 :args (_let_34 false _let_35)) :args (_let_30 false _let_5 false _let_32 false _let_34)) :args (_let_26 false _let_29 false _let_30)) :args (_let_27 true _let_25)) :args ((not _let_24) true _let_28 false _let_27)))) (let ((_let_53 (REFL :args (_let_24)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_46)) :args ((or _let_13 _let_24))) _let_52 :args (_let_13 true _let_24)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 (not _let_15)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_16))) _let_17 :args (_let_15 false _let_16)) :args (_let_9 false _let_13 false _let_15)))) (let ((_let_56 (not _let_10))) (let ((_let_57 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (forall ((W $$unsorted)) (or (not (tptp.ssList W)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 W))))))) (let ((_let_61 (not _let_59))) (let ((_let_62 (not _let_60))) (let ((_let_63 (= _let_18 _let_62))) (let ((_let_64 (or _let_41 _let_14 _let_63))) (let ((_let_65 (forall ((U $$unsorted) (BOUND_VARIABLE_2231 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_2231)) (= (tptp.frontsegP U BOUND_VARIABLE_2231) (not (forall ((W $$unsorted)) (or (not (tptp.ssList W)) (not (= U (tptp.app BOUND_VARIABLE_2231 W))))))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 ((tptp.frontsegP U BOUND_VARIABLE_2231)))) (let ((_let_69 (_let_62))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_60))) (REFL :args (_let_61)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_19 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 3)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_46)) :args ((or _let_18 _let_24))) _let_52 :args (_let_18 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_41 _let_14 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_46)) :args ((or _let_40 _let_42))) _let_48 :args (_let_40 true _let_42)) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_64 false _let_65)) :args (_let_63 false _let_40 false _let_13 false _let_64)) :args (_let_62 false _let_18 false _let_63)) :args (_let_61 true _let_60)))) (let ((_let_71 (REFL :args (_let_59)))) (let ((_let_72 (not _let_11))) (let ((_let_73 (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_14 _let_23 _let_74 _let_72))) (let ((_let_76 (_let_37))) (let ((_let_77 (tptp.segmentP (tptp.app _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_79 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_14 _let_14 _let_82 _let_31 _let_80 _let_77))) (let ((_let_84 (forall ((U $$unsorted) (BOUND_VARIABLE_4454 $$unsorted) (BOUND_VARIABLE_4452 $$unsorted) (BOUND_VARIABLE_4450 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_4450)) (not (tptp.segmentP U BOUND_VARIABLE_4450)) (not (tptp.ssList BOUND_VARIABLE_4454)) (not (tptp.ssList BOUND_VARIABLE_4452)) (tptp.segmentP (tptp.app (tptp.app BOUND_VARIABLE_4454 U) BOUND_VARIABLE_4452) BOUND_VARIABLE_4450))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 (not _let_78))) (let ((_let_88 (or _let_80 _let_87))) (let ((_let_89 (forall ((W $$unsorted)) (or (not (tptp.ssList W)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 W))))))) (let ((_let_90 (not _let_88))) (let ((_let_91 (not _let_89))) (let ((_let_92 (= _let_20 _let_91))) (let ((_let_93 (or _let_33 _let_14 _let_92))) (let ((_let_94 (_let_91))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_94)) :args _let_94)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_89))) (REFL :args (_let_90)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_21 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 2)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_46)) :args ((or _let_20 _let_24))) _let_52 :args (_let_20 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_33 _let_14 _let_92 (not _let_93)))) _let_50 _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_67)) _let_66 :args (_let_93 false _let_65)) :args (_let_92 false _let_32 false _let_13 false _let_93)) :args (_let_91 false _let_20 false _let_92)) :args (_let_90 true _let_89)))) (let ((_let_96 (REFL :args (_let_88)))) (let ((_let_97 (or _let_14 _let_81))) (let ((_let_98 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_14 _let_81 (not _let_97)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_98))) _let_99 :args (_let_97 false _let_98)) :args (_let_81 false _let_13 false _let_97)))) (let ((_let_101 (not _let_9))) (let ((_let_102 (and _let_9 _let_78 _let_77))) (let ((_let_103 (ASSUME :args (_let_77)))) (let ((_let_104 (APPLY_UF tptp.segmentP))) (let ((_let_105 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_106 (APPLY_UF tptp.app))) (let ((_let_107 (ASSUME :args (_let_9)))) (let ((_let_108 (SYMM (SYMM _let_107)))) (let ((_let_109 (ASSUME :args (_let_78)))) (let ((_let_110 (or _let_14 _let_14 _let_82 _let_31 _let_58 _let_12))) (let ((_let_111 (not _let_12))) (let ((_let_112 (ASSUME :args (_let_12)))) (let ((_let_113 (ASSUME :args (_let_10)))) (let ((_let_114 (ASSUME :args (_let_72)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_112 _let_107 _let_113 _let_114) :args (_let_9 _let_72 _let_10 _let_12)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_114)) (CONG (TRANS (SYMM (SYMM _let_113)) (CONG _let_108 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) :args _let_106)) _let_105 :args _let_104) (TRUE_INTRO _let_112))) :args (_let_12 _let_9 _let_10 _let_72)) :args ((not (and _let_9 _let_72 _let_10 _let_12)) SB_LITERAL))) (CONG (REFL :args (_let_101)) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_11))) (REFL :args (_let_56)) (REFL :args (_let_111)) :args _let_46)) :args ((or _let_11 _let_101 _let_56 _let_111))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_110))) :args ((or _let_31 _let_14 _let_82 _let_58 _let_12 (not _let_110)))) _let_51 _let_54 _let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) 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$$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssItem V) (= (tptp.hd U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssList V) (= (tptp.tl U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (not (= tptp.nil V)) (not (= tptp.nil U)) (= (tptp.hd V) (tptp.hd U)) (= (tptp.tl V) (tptp.tl U))) (= V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$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)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))) (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 $$unsorted)) (=> (tptp.ssList V) (= (= tptp.nil (tptp.app U V)) (and (= tptp.nil V) (= tptp.nil U))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))) (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.50/25.82 )
% 25.50/25.82 % SZS output end Proof for SWC081+1
% 25.50/25.83 % cvc5---1.0.5 exiting
% 25.50/25.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------