TSTP Solution File: SYN077+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:01:21 EDT 2023
% Result : Theorem 10.41s 10.80s
% Output : Proof 10.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 20:39:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.41/10.80 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FwZlKGAOqY/cvc5---1.0.5_22401.p...
% 10.41/10.80 ------- get file name : TPTP file name is SYN077+1
% 10.41/10.80 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22401.smt2...
% 10.41/10.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.41/10.80 % SZS status Theorem for SYN077+1
% 10.41/10.80 % SZS output start Proof for SYN077+1
% 10.41/10.80 (
% 10.41/10.80 (let ((_let_1 (not (not (exists ((W $$unsorted)) (forall ((X $$unsorted)) (= (tptp.big_f X W) (forall ((U $$unsorted)) (=> (tptp.big_f X U) (exists ((Y $$unsorted)) (and (tptp.big_f Y U) (not (exists ((Z $$unsorted)) (and (tptp.big_f Z U) (tptp.big_f Z Y))))))))))))))) (let ((_let_2 (forall ((Y $$unsorted)) (exists ((Z $$unsorted)) (forall ((X $$unsorted)) (= (tptp.big_f X Z) (= X Y))))))) (let ((_let_3 (forall ((U $$unsorted)) (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 U)) (not (forall ((Y $$unsorted)) (or (not (tptp.big_f Y U)) (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z U)) (not (tptp.big_f Z Y)))))))))))) (let ((_let_4 (forall ((Y $$unsorted)) (or (not (tptp.big_f Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (not (tptp.big_f Z Y))))))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (= _let_9 _let_3))) (let ((_let_11 (forall ((X $$unsorted)) (= (forall ((U $$unsorted)) (or (not (tptp.big_f X U)) (not (forall ((Y $$unsorted)) (or (not (tptp.big_f Y U)) (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z U)) (not (tptp.big_f Z Y)))))))))) (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_12 (forall ((W $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.big_f X W) (forall ((U $$unsorted)) (or (not (tptp.big_f X U)) (not (forall ((Y $$unsorted)) (or (not (tptp.big_f Y U)) (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z U)) (not (tptp.big_f Z Y)))))))))))))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (or))) (let ((_let_15 (_let_11))) (let ((_let_16 (not _let_12))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_13) :args (_let_16)) (REWRITE :args ((=> _let_16 (not (not (forall ((X $$unsorted)) (= (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (forall ((U $$unsorted)) (or (not (tptp.big_f X U)) (not (forall ((Y $$unsorted)) (or (not (tptp.big_f Y U)) (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z U)) (not (tptp.big_f Z Y))))))))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) (REFL :args _let_15) :args _let_14)) _let_13 :args (_let_11 true _let_12)))) (let ((_let_18 (ASSUME :args _let_15))) (let ((_let_19 (not _let_9))) (let ((_let_20 (or _let_7 _let_19))) (let ((_let_21 (forall ((Z $$unsorted)) (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (or _let_25 _let_5))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 U)) (not (forall ((Y $$unsorted)) (or (not (tptp.big_f Y U)) (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z U)) (not (tptp.big_f Z Y)))))))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (= _let_28 _let_30))) (let ((_let_32 (forall ((Y $$unsorted)) (or (not (tptp.big_f Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (tptp.big_f Z Y))))))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (forall ((Z $$unsorted)) (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_43 (= _let_39 _let_42))) (let ((_let_44 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_35 _let_45))) (let ((_let_47 (not _let_28))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_49 (_let_28))) (let ((_let_50 (forall ((X $$unsorted)) (= (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))) (let ((_let_51 (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.big_f X Z) (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_52 (forall ((Y $$unsorted)) (not (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.big_f X Z) (= Y X))))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_50))) (let ((_let_56 (_let_53))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56) (REWRITE :args ((=> _let_53 (not (not (forall ((X $$unsorted)) (= (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_51))) (REFL :args _let_55) :args _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_48) :args (_let_52)))) _let_54 :args (_let_53 false _let_52)) :args (_let_50 true _let_51)))) (let ((_let_58 (ASSUME :args _let_55))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_48) :args _let_55))) _let_57 :args (_let_34 false _let_50)))) (let ((_let_60 (_let_33))) (let ((_let_61 (REFL :args (_let_41)))) (let ((_let_62 (_let_37))) (let ((_let_63 (ASSUME :args (_let_45)))) (let ((_let_64 (ASSUME :args (_let_42)))) (let ((_let_65 (ASSUME :args (_let_30)))) (let ((_let_66 (_let_47))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_28))) (REFL :args (_let_29)) :args _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_64 _let_65) :args (_let_30 _let_42 _let_45)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_65)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM (SYMM _let_64)) :args (APPLY_UF tptp.big_f)) (FALSE_INTRO _let_63))) :args (_let_45 _let_42 _let_30)) :args ((not (and _let_30 _let_42 _let_45)) SB_LITERAL))) (CONG (REFL :args ((not _let_30))) (REFL :args ((not _let_42))) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_14)) (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_35 _let_45 (not _let_46)))) _let_59 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_62)) (REORDERING (CNF_EQUIV_POS1 :args (_let_43)) :args ((or _let_40 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55))) _let_57 :args (_let_43 false _let_50)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 1)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_14)) :args ((or _let_37 _let_41))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_14)) :args ((or _let_39 _let_41))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) (REFL :args ((not _let_41))) :args _let_14)) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 (not _let_36)))) _let_59 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_ENUM)) :args _let_49)) (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or _let_30 _let_47 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args _let_48) :args _let_15)) _let_17 :args (_let_31 false _let_11)) :args (_let_47 true _let_44 false _let_34 false _let_46 false _let_42 false _let_43 false _let_37 false _let_39 true _let_41 true _let_32 false _let_34 false _let_36 false _let_30 false _let_31)) :args (_let_29 true _let_28)))) (let ((_let_68 (REFL :args (_let_27)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_14)) :args ((or _let_4 _let_27))) _let_67 :args (_let_4 true _let_27)))) (let ((_let_70 (_let_4))) (let ((_let_71 (_let_23))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_21))) (REFL :args (_let_22)) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_14)) :args ((or _let_24 _let_27))) _let_67 :args (_let_24 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args _let_48) :args _let_70)) _let_69 :args (_let_26 false _let_4)) :args (_let_23 false _let_24 false _let_26)) :args (_let_22 true _let_21)))) (let ((_let_73 (REFL :args (_let_20)))) (let ((_let_74 (not _let_8))) (let ((_let_75 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_ENUM)) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_74))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_14)) :args ((or _let_6 _let_20))) _let_72 :args (_let_6 true _let_20)) :args (_let_74 false _let_4 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_19 _let_3 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_9))) :args _let_14)) :args ((or _let_9 _let_20))) _let_72 :args (_let_9 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_ENUM)) :args _let_15))) _let_17 :args (_let_10 false _let_11)) :args (_let_3 false _let_9 false _let_10)) :args (false true _let_8 false _let_3)) :args (_let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.41/10.80 )
% 10.41/10.80 % SZS output end Proof for SYN077+1
% 10.41/10.80 % cvc5---1.0.5 exiting
% 10.41/10.80 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------