TSTP Solution File: SYN059+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:01:10 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:09:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lez0GflkJW/cvc5---1.0.5_29903.p...
% 0.21/0.52 ------- get file name : TPTP file name is SYN059+1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29903.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for SYN059+1
% 0.21/0.52 % SZS output start Proof for SYN059+1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (= (and (forall ((X $$unsorted)) (=> (tptp.big_f X) (tptp.big_h X))) (forall ((U $$unsorted)) (=> (tptp.big_g U) (tptp.big_j U)))) (forall ((W $$unsorted) (Y $$unsorted)) (=> (and (tptp.big_f W) (tptp.big_g Y)) (and (tptp.big_h W) (tptp.big_j Y)))))))) (let ((_let_2 (exists ((Y $$unsorted)) (tptp.big_g Y)))) (let ((_let_3 (exists ((X $$unsorted)) (tptp.big_f X)))) (let ((_let_4 (tptp.big_j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_5 (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_6))) (let ((_let_12 (forall ((W $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f W)) (not (tptp.big_g Y)) (and (tptp.big_h W) (tptp.big_j Y)))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (forall ((U $$unsorted)) (or (not (tptp.big_g U)) (tptp.big_j U))))) (let ((_let_15 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_h X))))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (not _let_12))) (let ((_let_18 (tptp.big_j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (and (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_18))) (let ((_let_23 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_20 _let_22))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (NOT_EQUIV_ELIM1 _let_26))) (let ((_let_28 (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (and _let_28 (tptp.big_j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_33 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_30 _let_34 _let_32))) (let ((_let_36 (not _let_16))) (let ((_let_37 (or))) (let ((_let_38 (not _let_15))) (let ((_let_39 (_let_38))) (let ((_let_40 (_let_12))) (let ((_let_41 ((not (= (tptp.big_f W) false)) (not (= (tptp.big_g Y) false))))) (let ((_let_42 (ASSUME :args _let_40))) (let ((_let_43 (forall ((Y $$unsorted)) (not (tptp.big_g Y))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_30 _let_32 (not _let_35)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_44) :args (_let_45)) (REWRITE :args ((=> _let_45 (not _let_34)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_43))) (REFL :args (_let_33)) :args _let_37)) _let_44 :args (_let_33 true _let_43)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_28 (not _let_32)))) (CNF_OR_NEG :args (_let_31 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_37)) :args ((or _let_29 _let_31))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_15))) (REFL :args ((not _let_31))) :args _let_37)) _let_27 (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_36))) :args (_let_15 false _let_33 false _let_35 true _let_32 true _let_28 false _let_29 true _let_31 false _let_12 true _let_16)))) (let ((_let_47 (not _let_14))) (let ((_let_48 (_let_47))) (let ((_let_49 (forall ((X $$unsorted)) (not (tptp.big_f X))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_20 _let_22 (not _let_25)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_50) :args (_let_51)) (REWRITE :args ((=> _let_51 (not _let_24)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_49))) (REFL :args (_let_23)) :args _let_37)) _let_50 :args (_let_23 true _let_49)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_40)) (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_18 (not _let_22)))) (CNF_OR_NEG :args (_let_21 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_37)) :args ((or _let_19 _let_21))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_14))) (REFL :args ((not _let_21))) :args _let_37)) (CNF_AND_NEG :args (_let_16)) _let_46 _let_27 :args (_let_16 false _let_23 false _let_25 true _let_22 true _let_18 false _let_19 true _let_21 true _let_14 false _let_15 false _let_12)))) (let ((_let_53 (_let_17))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_12))) (REFL :args (_let_13)) :args _let_37)) (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM2 _let_26) _let_52 :args (_let_17 false _let_16)) :args (_let_13 true _let_12)))) (let ((_let_55 (or _let_10 _let_5))) (let ((_let_56 (_let_15))) (let ((_let_57 (REFL :args (_let_11)))) (let ((_let_58 (or _let_8 _let_4))) (let ((_let_59 (_let_14))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_8 _let_4 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 1)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_37)) :args ((or _let_7 _let_11))) _let_54 :args (_let_7 true _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_g U) false))))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_14 _let_36))) _let_52 :args (_let_14 false _let_16)) :args (_let_58 false _let_14)) :args (_let_4 false _let_7 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_10 _let_5 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_37)) :args ((or _let_9 _let_11))) _let_54 :args (_let_9 true _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X) false))))) :args _let_56)) _let_46 :args (_let_55 false _let_15)) :args (_let_5 false _let_9 false _let_55)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 2)) _let_54 :args ((not _let_6) true _let_11)) :args (false false _let_4 false _let_5 true _let_6)) :args (_let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for SYN059+1
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------