TSTP Solution File: SWC414+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC414+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 20:25:27 EDT 2023
% Result : Theorem 32.61s 32.87s
% Output : Proof 32.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC414+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 15:35:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 32.61/32.87 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gKAEzATOQc/cvc5---1.0.5_3606.p...
% 32.61/32.87 ------- get file name : TPTP file name is SWC414+1
% 32.61/32.87 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3606.smt2...
% 32.61/32.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.61/32.87 --- Run --no-e-matching --full-saturate-quant at 5...
% 32.61/32.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.61/32.87 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.61/32.87 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.61/32.87 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.61/32.87 % SZS status Theorem for SWC414+1
% 32.61/32.87 % SZS output start Proof for SWC414+1
% 32.61/32.87 (
% 32.61/32.87 (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)) (or (not (tptp.ssList X)) (not (= V X)) (not (= U W)) (and (or (exists ((Y $$unsorted)) (and (tptp.ssItem Y) (exists ((Z $$unsorted)) (and (tptp.ssItem Z) (exists ((X1 $$unsorted)) (and (tptp.ssList X1) (exists ((X2 $$unsorted)) (and (tptp.ssList X2) (exists ((X3 $$unsorted)) (let ((_let_1 (tptp.cons Y tptp.nil))) (let ((_let_2 (tptp.cons Z tptp.nil))) (and (tptp.ssList X3) (= (tptp.app (tptp.app (tptp.app (tptp.app X1 _let_1) X2) _let_2) X3) V) (= (tptp.app (tptp.app (tptp.app (tptp.app X1 _let_2) X2) _let_1) X3) U))))))))))))) (forall ((X4 $$unsorted)) (=> (tptp.ssItem X4) (forall ((X5 $$unsorted)) (=> (tptp.ssItem X5) (forall ((X6 $$unsorted)) (=> (tptp.ssList X6) (not (= (tptp.app (tptp.app (tptp.cons X4 tptp.nil) (tptp.cons X5 tptp.nil)) X6) V)))))))) (forall ((X7 $$unsorted)) (=> (tptp.ssItem X7) (forall ((X8 $$unsorted)) (=> (tptp.ssItem X8) (forall ((X9 $$unsorted)) (let ((_let_1 (tptp.cons X7 tptp.nil))) (let ((_let_2 (tptp.cons X8 tptp.nil))) (or (not (tptp.ssList X9)) (not (= (tptp.app (tptp.app _let_1 _let_2) X9) X)) (not (= (tptp.app (tptp.app _let_2 _let_1) X9) W))))))))))) (or (exists ((X10 $$unsorted)) (and (tptp.ssItem X10) (exists ((X11 $$unsorted)) (and (tptp.ssItem X11) (exists ((X12 $$unsorted)) (and (tptp.ssList X12) (= (tptp.app (tptp.app (tptp.cons X10 tptp.nil) (tptp.cons X11 tptp.nil)) X12) X))))))) (forall ((X13 $$unsorted)) (=> (tptp.ssItem X13) (forall ((X14 $$unsorted)) (=> (tptp.ssItem X14) (forall ((X15 $$unsorted)) (=> (tptp.ssList X15) (not (= (tptp.app (tptp.app (tptp.cons X13 tptp.nil) (tptp.cons X14 tptp.nil)) X15) V))))))))))))))))))))) (let ((_let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))))) (let ((_let_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))))) (let ((_let_4 (tptp.ssList tptp.nil))) (let ((_let_5 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))))) (let ((_let_6 (forall ((Y $$unsorted) (BOUND_VARIABLE_5437 $$unsorted) (BOUND_VARIABLE_5435 $$unsorted) (BOUND_VARIABLE_5433 $$unsorted) (BOUND_VARIABLE_5431 $$unsorted)) (let ((_let_1 (tptp.cons Y tptp.nil))) (let ((_let_2 (tptp.cons BOUND_VARIABLE_5431 tptp.nil))) (or (not (tptp.ssItem Y)) (not (tptp.ssItem BOUND_VARIABLE_5431)) (not (tptp.ssList BOUND_VARIABLE_5437)) (not (tptp.ssList BOUND_VARIABLE_5433)) (not (tptp.ssList BOUND_VARIABLE_5435)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5437 _let_1) BOUND_VARIABLE_5433) _let_2) BOUND_VARIABLE_5435) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5437 _let_2) BOUND_VARIABLE_5433) _let_1) BOUND_VARIABLE_5435) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))))) (let ((_let_7 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.nil))) (let ((_let_8 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.nil))) (let ((_let_9 (tptp.app tptp.nil _let_8))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app (tptp.app (tptp.app _let_9 tptp.nil) _let_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.app tptp.nil _let_7))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (tptp.app (tptp.app (tptp.app _let_12 tptp.nil) _let_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_4))) (let ((_let_18 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_17 _let_17 _let_16 _let_14 _let_11))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app (tptp.app _let_8 _let_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_24 (not _let_23))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (tptp.app (tptp.app _let_7 _let_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (tptp.app (tptp.app (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil) (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_28 (not (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_29 (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_30 (not (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_31 (not _let_6))) (let ((_let_32 (or _let_31 _let_30 _let_29 _let_28 _let_27 _let_21 _let_16 _let_19 _let_26 _let_24))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (tptp.app (tptp.app (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.nil) (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.nil)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_40 (not _let_39))) (let ((_let_41 (forall ((X10 $$unsorted) (BOUND_VARIABLE_5615 $$unsorted) (BOUND_VARIABLE_5613 $$unsorted)) (or (not (tptp.ssItem X10)) (not (tptp.ssItem BOUND_VARIABLE_5613)) (not (tptp.ssList BOUND_VARIABLE_5615)) (not (= (tptp.app (tptp.app (tptp.cons X10 tptp.nil) (tptp.cons BOUND_VARIABLE_5613 tptp.nil)) BOUND_VARIABLE_5615) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_38 _let_36 _let_34))) (let ((_let_44 (and _let_32 _let_43))) (let ((_let_45 (or _let_40 _let_36 _let_38 _let_34))) (let ((_let_46 (or))) (let ((_let_47 (REFL :args (_let_43)))) (let ((_let_48 (_let_41))) (let ((_let_49 (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_50 (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_51 (or _let_50 _let_49 _let_44))) (let ((_let_52 (forall ((U $$unsorted) (BOUND_VARIABLE_6173 $$unsorted) (BOUND_VARIABLE_6171 $$unsorted) (BOUND_VARIABLE_6169 $$unsorted) (BOUND_VARIABLE_6167 $$unsorted) (BOUND_VARIABLE_6165 $$unsorted) (BOUND_VARIABLE_6163 $$unsorted) (BOUND_VARIABLE_6161 $$unsorted) (BOUND_VARIABLE_6159 $$unsorted) (BOUND_VARIABLE_6157 $$unsorted) (BOUND_VARIABLE_6155 $$unsorted)) (let ((_let_1 (tptp.cons BOUND_VARIABLE_6165 tptp.nil))) (let ((_let_2 (tptp.cons BOUND_VARIABLE_6157 tptp.nil))) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_6155)) (and (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_5437 $$unsorted) (BOUND_VARIABLE_5435 $$unsorted) (BOUND_VARIABLE_5433 $$unsorted) (BOUND_VARIABLE_5431 $$unsorted)) (let ((_let_1 (tptp.cons Y tptp.nil))) (let ((_let_2 (tptp.cons BOUND_VARIABLE_5431 tptp.nil))) (or (not (tptp.ssItem Y)) (not (tptp.ssItem BOUND_VARIABLE_5431)) (not (tptp.ssList BOUND_VARIABLE_5437)) (not (tptp.ssList BOUND_VARIABLE_5433)) (not (tptp.ssList BOUND_VARIABLE_5435)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5437 _let_1) BOUND_VARIABLE_5433) _let_2) BOUND_VARIABLE_5435) BOUND_VARIABLE_6155)) (not (= U (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5437 _let_2) BOUND_VARIABLE_5433) _let_1) BOUND_VARIABLE_5435)))))))) (not (tptp.ssItem BOUND_VARIABLE_6173)) (not (tptp.ssList BOUND_VARIABLE_6171)) (not (tptp.ssItem BOUND_VARIABLE_6169)) (not (= BOUND_VARIABLE_6155 (tptp.app (tptp.app (tptp.cons BOUND_VARIABLE_6173 tptp.nil) (tptp.cons BOUND_VARIABLE_6169 tptp.nil)) BOUND_VARIABLE_6171))) (not (tptp.ssItem BOUND_VARIABLE_6165)) (not (tptp.ssList BOUND_VARIABLE_6161)) (not (tptp.ssItem BOUND_VARIABLE_6157)) (not (= BOUND_VARIABLE_6155 (tptp.app (tptp.app _let_1 _let_2) BOUND_VARIABLE_6161))) (not (= U (tptp.app (tptp.app _let_2 _let_1) BOUND_VARIABLE_6161)))) (or (not (forall ((X10 $$unsorted) (BOUND_VARIABLE_5615 $$unsorted) (BOUND_VARIABLE_5613 $$unsorted)) (or (not (tptp.ssItem X10)) (not (tptp.ssItem BOUND_VARIABLE_5613)) (not (tptp.ssList BOUND_VARIABLE_5615)) (not (= (tptp.app (tptp.app (tptp.cons X10 tptp.nil) (tptp.cons BOUND_VARIABLE_5613 tptp.nil)) BOUND_VARIABLE_5615) BOUND_VARIABLE_6155))))) (not (tptp.ssItem BOUND_VARIABLE_6167)) (not (tptp.ssList BOUND_VARIABLE_6163)) (not (tptp.ssItem BOUND_VARIABLE_6159)) (not (= BOUND_VARIABLE_6155 (tptp.app (tptp.app (tptp.cons BOUND_VARIABLE_6167 tptp.nil) (tptp.cons BOUND_VARIABLE_6159 tptp.nil)) BOUND_VARIABLE_6163))))))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (not _let_52))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_44)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 2)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_54) :args (_let_55)) (REWRITE :args ((=> _let_55 (not (or _let_50 _let_49 (and (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_5437 $$unsorted) (BOUND_VARIABLE_5435 $$unsorted) (BOUND_VARIABLE_5433 $$unsorted) (BOUND_VARIABLE_5431 $$unsorted)) (let ((_let_1 (tptp.cons Y tptp.nil))) (let ((_let_2 (tptp.cons BOUND_VARIABLE_5431 tptp.nil))) (or (not (tptp.ssItem Y)) (not (tptp.ssItem BOUND_VARIABLE_5431)) (not (tptp.ssList BOUND_VARIABLE_5437)) (not (tptp.ssList BOUND_VARIABLE_5433)) (not (tptp.ssList BOUND_VARIABLE_5435)) (not (= (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5437 _let_1) BOUND_VARIABLE_5433) _let_2) BOUND_VARIABLE_5435) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5437 _let_2) BOUND_VARIABLE_5433) _let_1) BOUND_VARIABLE_5435)))))))) _let_30 _let_29 _let_28 _let_27 _let_21 _let_16 _let_19 _let_26 _let_24) _let_43)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_52))) (REFL :args (_let_53)) :args _let_46)) _let_54 :args (_let_53 true _let_52)) :args ((not _let_44) true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48))) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_40 _let_38 _let_36 _let_34 (not _let_45)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 4)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_46)) :args ((or _let_33 _let_43))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 3)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_46)) :args ((or _let_35 _let_43))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 2)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_46)) :args ((or _let_37 _let_43))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_46)) :args ((or _let_39 _let_43))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_46)) :args ((or _let_41 _let_43))) :args (_let_43 true _let_45 false _let_33 false _let_35 false _let_37 false _let_39 false _let_41)) :args ((not _let_32) true _let_44 false _let_43)))) (let ((_let_57 (REFL :args (_let_32)))) (let ((_let_58 (not _let_22))) (let ((_let_59 (= _let_7 (tptp.app _let_7 tptp.nil)))) (let ((_let_60 (or _let_17 _let_21 _let_59))) (let ((_let_61 (tptp.ssList _let_7))) (let ((_let_62 (or _let_17 _let_21 _let_61))) (let ((_let_63 (= _let_8 (tptp.app _let_8 tptp.nil)))) (let ((_let_64 (or _let_17 _let_19 _let_63))) (let ((_let_65 (tptp.ssList _let_8))) (let ((_let_66 (or _let_17 _let_19 _let_65))) (let ((_let_67 (= _let_7 _let_12))) (let ((_let_68 (not _let_61))) (let ((_let_69 (or _let_68 _let_67))) (let ((_let_70 (= _let_8 _let_9))) (let ((_let_71 (not _let_65))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (ASSUME :args (_let_4)))) (let ((_let_74 (forall ((U $$unsorted) (BOUND_VARIABLE_4891 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_4891)) (= (tptp.cons BOUND_VARIABLE_4891 U) (tptp.app (tptp.cons BOUND_VARIABLE_4891 tptp.nil) U)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 ((tptp.cons BOUND_VARIABLE_4891 U)))) (let ((_let_78 (forall ((U $$unsorted) (BOUND_VARIABLE_3403 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_3403)) (tptp.ssList (tptp.cons BOUND_VARIABLE_3403 U)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (and _let_25 _let_59 _let_67))) (let ((_let_85 (APPLY_UF tptp.app))) (let ((_let_86 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_87 (REFL :args (tptp.nil)))) (let ((_let_88 (ASSUME :args (_let_67)))) (let ((_let_89 (ASSUME :args (_let_59)))) (let ((_let_90 (ASSUME :args (_let_25)))) (let ((_let_91 (and _let_23 _let_63 _let_70))) (let ((_let_92 (ASSUME :args (_let_70)))) (let ((_let_93 (ASSUME :args (_let_63)))) (let ((_let_94 (ASSUME :args (_let_23)))) (let ((_let_95 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_95))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_22))) :args ((or _let_17 _let_21 _let_16 _let_19 _let_14 _let_11 _let_58))) _let_73 (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_93 _let_94) (SCOPE (TRANS (SYMM (SYMM _let_94)) (CONG (CONG (TRANS (SYMM (SYMM _let_93)) (CONG (SYMM (SYMM _let_92)) _let_87 :args _let_85)) (REFL :args (_let_7)) :args _let_85) _let_86 :args _let_85)) :args (_let_70 _let_63 _let_23))) :args (_let_23 _let_63 _let_70))) :args (true _let_91)) (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_89 _let_90) (SCOPE (TRANS (SYMM (SYMM _let_90)) (CONG (CONG (TRANS (SYMM (SYMM 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(tptp.totalorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.totalorderedP V) (tptp.leq U (tptp.hd V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (tptp.strictorderedP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (let ((_let_1 (= tptp.nil V))) (=> (tptp.ssList V) (= (tptp.strictorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.strictorderedP V) (tptp.lt U (tptp.hd V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (tptp.duplicatefreeP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (tptp.equalelemsP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$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 $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app V W) (tptp.app V U)) (= W U)))))))) _let_2 (forall ((U $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.61/32.87 )
% 32.61/32.87 % SZS output end Proof for SWC414+1
% 32.61/32.87 % cvc5---1.0.5 exiting
% 32.61/32.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------