TSTP Solution File: SYN084+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 02:01:24 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 17:09:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.n292hdULuI/cvc5---1.0.5_19845.p...
% 0.21/0.54 ------- get file name : TPTP file name is SYN084+1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19845.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for SYN084+1
% 0.21/0.54 % SZS output start Proof for SYN084+1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (= (forall ((X $$unsorted)) (let ((_let_1 (tptp.f X))) (=> (and (tptp.big_p tptp.a) (=> (tptp.big_p X) (tptp.big_p _let_1))) (tptp.big_p (tptp.f _let_1))))) (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.f X1))) (let ((_let_2 (tptp.big_p (tptp.f _let_1)))) (let ((_let_3 (not (tptp.big_p tptp.a)))) (and (or _let_3 (tptp.big_p X1) _let_2) (or _let_3 (not (tptp.big_p _let_1)) _let_2)))))))))) (let ((_let_2 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_3 (tptp.big_p (tptp.f _let_2)))) (let ((_let_4 (tptp.big_p _let_2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (and (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_5))) (let ((_let_7 (or _let_6 _let_3))) (let ((_let_8 (or _let_5 _let_3))) (let ((_let_9 (forall ((BOUND_VARIABLE_624 $$unsorted)) (let ((_let_1 (tptp.f BOUND_VARIABLE_624))) (or (not (tptp.big_p _let_1)) (tptp.big_p (tptp.f _let_1))))))) (let ((_let_10 (not _let_8))) (let ((_let_11 (tptp.big_p tptp.a))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_9))) (let ((_let_14 (not _let_9))) (let ((_let_15 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.big_p (tptp.f _let_15)))) (let ((_let_17 (tptp.big_p _let_15))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((X $$unsorted)) (let ((_let_1 (tptp.f X))) (or (and (tptp.big_p X) (not (tptp.big_p _let_1))) (tptp.big_p (tptp.f _let_1))))))) (let ((_let_21 (or _let_12 _let_20))) (let ((_let_22 (forall ((BOUND_VARIABLE_615 $$unsorted)) (or (tptp.big_p BOUND_VARIABLE_615) (tptp.big_p (tptp.f (tptp.f BOUND_VARIABLE_615))))))) (let ((_let_23 (or _let_12 _let_22))) (let ((_let_24 (and _let_23 _let_13))) (let ((_let_25 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (tptp.big_p (tptp.f _let_25)))) (let ((_let_27 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (and _let_27 (not (tptp.big_p _let_25))))) (let ((_let_30 (or _let_29 _let_26))) (let ((_let_31 (not _let_13))) (let ((_let_32 (or))) (let ((_let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))))) (let ((_let_34 (_let_21))) (let ((_let_35 (_let_23))) (let ((_let_36 (_let_13))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (NOT_EQUIV_ELIM2 _let_37))) (let ((_let_39 (CNF_AND_NEG :args (_let_24)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST _let_39 _let_38 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG (REFL :args _let_36) _let_33 :args _let_32)) :args ((or _let_11 _let_13))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG (REFL :args _let_35) _let_33 :args _let_32)) :args ((or _let_11 _let_23))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args _let_34) _let_33 :args _let_32)) :args ((or _let_11 _let_21))) :args (_let_11 true _let_24 false _let_13 false _let_23 false _let_21)))) (let ((_let_41 (_let_9))) (let ((_let_42 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (and _let_42 _let_18))) (let ((_let_44 (or _let_43 _let_16))) (let ((_let_45 (or _let_42 _let_16))) (let ((_let_46 (not _let_19))) (let ((_let_47 (NOT_EQUIV_ELIM1 _let_37))) (let ((_let_48 (not _let_20))) (let ((_let_49 (_let_48))) (let ((_let_50 (not _let_24))) (let ((_let_51 (_let_22))) (let ((_let_52 (not _let_42))) (let ((_let_53 (_let_43))) (let ((_let_54 (REORDERING (CNF_OR_POS :args _let_34) :args ((or _let_12 _let_20 (not _let_21)))))) (let ((_let_55 (not _let_22))) (let ((_let_56 (_let_55))) (let ((_let_57 (_let_20))) (let ((_let_58 ((tptp.f (tptp.f X))))) (let ((_let_59 (ASSUME :args _let_57))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_26 _let_29 (not _let_30)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57)) (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_27 (not _let_29)))) (CNF_OR_NEG :args (_let_28 1)) (CNF_OR_NEG :args (_let_28 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_22))) (REFL :args ((not _let_28))) :args _let_32)) (CNF_OR_NEG :args (_let_23 1)) _let_39 _let_54 _let_40 _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_42 _let_16 (not _let_45)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_53) (CONG (REFL :args _let_53) (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_32)) :args ((or _let_17 _let_43 _let_52))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.f (tptp.f BOUND_VARIABLE_615))))) :args _let_51)) (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 _let_46))) (REORDERING (CNF_OR_POS :args _let_35) :args ((or _let_12 _let_22 (not _let_23)))) _let_40 (CNF_OR_NEG :args (_let_44 1)) (CNF_OR_NEG :args (_let_44 0)) (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_23 _let_50))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_20))) (REFL :args ((not _let_44))) :args _let_32)) _let_47 (CNF_OR_NEG :args (_let_21 1)) :args ((or _let_21 _let_46) true _let_42 false _let_45 true _let_17 false _let_22 false _let_11 true _let_16 true _let_43 false _let_23 true _let_44 false _let_24 true _let_20)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.f (tptp.f BOUND_VARIABLE_624))))) :args _let_41)) (REORDERING (CNF_OR_POS :args _let_36) :args ((or _let_12 _let_9 _let_31))) _let_40 :args (_let_31 false _let_30 true _let_29 true _let_26 true _let_27 true _let_28 true _let_22 true _let_23 false _let_20 false _let_11 true _let_24 false _let_21 false _let_19 false _let_9 false _let_11)))) (let ((_let_61 (_let_14))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_9))) (REFL :args (_let_10)) :args _let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_60 :args (_let_14 true _let_13)) :args (_let_10 true _let_9)))) (let ((_let_63 (not _let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_3 _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57)) (MACRO_RESOLUTION_TRUST _let_54 _let_40 (MACRO_RESOLUTION_TRUST _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_13 _let_50))) _let_60 :args (_let_50 true _let_13)) :args (_let_21 true _let_24)) :args (_let_20 false _let_11 false _let_21)) :args (_let_7 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_6 1)) :args ((or _let_5 _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_8 0)) (CONG (REFL :args (_let_8)) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_32)) :args ((or _let_4 _let_8))) _let_62 :args (_let_4 true _let_8)) :args (_let_63 false _let_4)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 1)) _let_62 :args ((not _let_3) true _let_8)) :args (false false _let_7 true _let_6 true _let_3)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for SYN084+1
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------