TSTP Solution File: GRP001+6 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 00:23:53 EDT 2023
% Result : Theorem 0.78s 0.96s
% Output : Proof 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n031.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 22:09:25 EDT 2023
% 0.22/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.78/0.96 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XdqH2KhDFo/cvc5---1.0.5_28448.p...
% 0.78/0.96 ------- get file name : TPTP file name is GRP001+6
% 0.78/0.96 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28448.smt2...
% 0.78/0.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.78/0.96 % SZS status Theorem for GRP001+6
% 0.78/0.96 % SZS output start Proof for GRP001+6
% 0.78/0.96 (
% 0.78/0.96 (let ((_let_1 (not (forall ((E $$unsorted)) (=> (and (forall ((X $$unsorted) (Y $$unsorted)) (exists ((Z $$unsorted)) (tptp.product X Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.product X Y U) (tptp.product Y Z V) (tptp.product U Z W)) (tptp.product X V W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.product X Y U) (tptp.product Y Z V) (tptp.product X V W)) (tptp.product U Z W))) (forall ((X $$unsorted)) (tptp.product X E X)) (forall ((X $$unsorted)) (tptp.product E X X)) (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) E)) (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X E))) (=> (forall ((X $$unsorted)) (tptp.product X X E)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (tptp.product U V W) (tptp.product V U W))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.product X X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_3 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (not _let_2))) (let ((_let_5 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X X)))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.product X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X)))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 (not (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) _let_6 _let_4))) (let ((_let_12 (forall ((E $$unsorted)) (or (not (forall ((X $$unsorted)) (tptp.product X E X))) (not (forall ((X $$unsorted)) (tptp.product E X X))) (not (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) E))) (not (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X E))) (not (forall ((X $$unsorted)) (tptp.product X X E))))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (or))) (let ((_let_16 (not _let_12))) (let ((_let_17 (_let_16))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_17)) :args _let_17)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) (REFL :args (_let_13)) :args _let_15)) (NOT_OR_ELIM _let_14 :args (4)) :args (_let_13 true _let_12)))) (let ((_let_19 (REFL :args (_let_11)))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 4)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_2))) :args _let_15)) :args ((or _let_2 _let_11))) _let_18 :args (_let_2 true _let_11)))) (let ((_let_21 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_3))) (let ((_let_27 (or _let_26 _let_25 _let_23 _let_21))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))))) (let ((_let_29 (NOT_NOT_ELIM (NOT_OR_ELIM _let_14 :args (1))))) (let ((_let_30 (_let_28))) (let ((_let_31 (not (= (tptp.product Y Z V) false)))) (let ((_let_32 (not (= (tptp.product U Z W) false)))) (let ((_let_33 (ASSUME :args _let_30))) (let ((_let_34 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_35 _let_24))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))))) (let ((_let_42 (NOT_NOT_ELIM (NOT_OR_ELIM _let_14 :args (2))))) (let ((_let_43 (_let_41))) (let ((_let_44 (not (= (tptp.product X V W) false)))) (let ((_let_45 (not (= (tptp.product X Y U) false)))) (let ((_let_46 (ASSUME :args _let_43))) (let ((_let_47 (_let_2))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (ASSUME :args _let_47))) (let ((_let_50 (_let_9))) (let ((_let_51 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_52 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_53 (or _let_39 _let_52))) (let ((_let_54 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product U V W)) (tptp.product V U W))))) (let ((_let_55 (not _let_53))) (let ((_let_56 (not _let_54))) (let ((_let_57 (_let_56))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_54))) (REFL :args (_let_55)) :args _let_15)) (NOT_OR_ELIM _let_14 :args (3)) :args (_let_55 true _let_54)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_15)) :args ((or _let_38 _let_53))) _let_58 :args (_let_38 true _let_53)))) (let ((_let_60 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (tptp.product _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_21))) (let ((_let_64 (tptp.product _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_62 _let_52))) (let ((_let_67 (tptp.product _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_23 _let_39 _let_61))) (let ((_let_70 ((not (= (tptp.product X Y U) false)) _let_31 _let_32))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 1)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_15)) :args ((or _let_7 _let_11))) _let_18 :args (_let_7 true _let_11)))) (let ((_let_72 (_let_7))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_48) :args _let_72)) _let_71 :args (_let_22 false _let_7)))) (let ((_let_75 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.product _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78 _let_76 _let_67))) (let ((_let_82 (_let_5))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_82) :args _let_51) :args _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 3)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_15)) :args ((or _let_5 _let_11))) _let_18 :args (_let_5 true _let_11)) :args (_let_79 false _let_5)))) (let ((_let_84 (or _let_80 _let_39 _let_23 _let_64))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) true))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_23 _let_21 _let_25 _let_26 (not _let_27)))) _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_52 _let_65 _let_62 _let_63 (not _let_66)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_53 1)) _let_58 :args ((not _let_52) true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_39 _let_80 _let_23 _let_64 (not _let_84)))) _let_59 _let_83 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_30)) _let_29 :args (_let_84 false _let_28)) :args (_let_64 false _let_38 false _let_79 false _let_22 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_39 _let_68 _let_23 _let_61 (not _let_69)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_76 _let_80 _let_78 _let_67 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_51) :args _let_72)) _let_71 :args (_let_75 false _let_7)) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_51) :args _let_47)) _let_20 :args (_let_77 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_30)) _let_29 :args (_let_81 false _let_28)) :args (_let_67 false _let_75 false _let_79 false _let_77 false _let_81)) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_30)) _let_29 :args (_let_69 false _let_28)) :args (_let_61 false _let_38 false _let_67 false _let_22 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product U Z W) true)) _let_45 _let_44))) :args _let_43)) _let_42 :args (_let_66 false _let_41)) :args (_let_63 true _let_52 false _let_64 false _let_61 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_35 _let_37 _let_24 (not _let_40)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args _let_51) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_15)) :args ((or _let_9 _let_11))) _let_18 :args (_let_9 true _let_11)) :args (_let_34 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_48) :args _let_47)) _let_20 :args (_let_36 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING (_let_45 (not (= (tptp.product Y Z V) false)) _let_44))) :args _let_43)) _let_42 :args (_let_40 false _let_41)) :args (_let_24 false _let_38 false _let_34 false _let_36 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING (_let_32 _let_31 (not (= (tptp.product X V W) true))))) :args _let_30)) _let_29 :args (_let_27 false _let_28)) :args (_let_26 false _let_22 true _let_21 false _let_24 false _let_27)) _let_20 :args (false true _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.78/0.96 )
% 0.78/0.96 % SZS output end Proof for GRP001+6
% 0.78/0.96 % cvc5---1.0.5 exiting
% 0.78/0.96 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------