TSTP Solution File: SYN070+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN070+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 02:01:17 EDT 2023
% Result : Theorem 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN070+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n015.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 19:16:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1k5clvMyH8/cvc5---1.0.5_2995.p...
% 0.22/0.55 ------- get file name : TPTP file name is SYN070+1
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2995.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55 % SZS status Theorem for SYN070+1
% 0.22/0.55 % SZS output start Proof for SYN070+1
% 0.22/0.55 (
% 0.22/0.55 (let ((_let_1 (not (forall ((X $$unsorted)) (=> (tptp.big_f X) (tptp.big_g X)))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.big_f X) (tptp.big_f Y) (tptp.big_h X Y)) (not (tptp.big_j Y X)))))) (let ((_let_3 (=> (exists ((X $$unsorted)) (and (tptp.big_f X) (not (tptp.big_g X)))) (exists ((X1 $$unsorted)) (and (tptp.big_f X1) (not (tptp.big_g X1)) (forall ((Y $$unsorted)) (=> (and (tptp.big_f Y) (not (tptp.big_g Y))) (tptp.big_j X1 Y)))))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.big_f X) (=> (and (tptp.big_f Y) (tptp.big_h Y X)) (tptp.big_g Y))) (tptp.big_g X))))) (let ((_let_5 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (and _let_10 _let_9 _let_8))) (let ((_let_12 (not _let_5))) (let ((_let_13 (or _let_12 _let_11 _let_6))) (let ((_let_14 (forall ((Y $$unsorted)) (or (not (tptp.big_f Y)) (tptp.big_g Y) (tptp.big_j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_12 _let_6 _let_15))) (let ((_let_17 (forall ((X1 $$unsorted)) (or (not (tptp.big_f X1)) (tptp.big_g X1) (not (forall ((Y $$unsorted)) (or (not (tptp.big_f Y)) (tptp.big_g Y) (tptp.big_j X1 Y)))))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X))))) (let ((_let_20 (not _let_17))) (let ((_let_21 (not _let_19))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_19 (= X X)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_21 true (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X))))))) (let ((_let_23 (or))) (let ((_let_24 (_let_20))) (let ((_let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_19))))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_24)) :args _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_17))) (REFL :args (_let_18)) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) (CONG _let_25 (REFL :args _let_24) :args _let_23)) _let_22 :args (_let_20 true _let_19)) :args (_let_18 true _let_17)))) (let ((_let_27 (REFL :args (_let_16)))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_5))) :args _let_23)) :args ((or _let_5 _let_16))) _let_26 :args (_let_5 true _let_16)))) (let ((_let_29 (not _let_11))) (let ((_let_30 (tptp.big_j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_9))) (let ((_let_33 (not _let_10))) (let ((_let_34 (or _let_33 _let_12 _let_32 _let_31))) (let ((_let_35 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f X)) (not (tptp.big_f Y)) (not (tptp.big_h X Y)) (not (tptp.big_j Y X)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or _let_33 _let_7 _let_30))) (let ((_let_38 (_let_14))) (let ((_let_39 (or _let_33 _let_7))) (let ((_let_40 (not _let_39))) (let ((_let_41 (_let_21))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG _let_25 (REFL :args (_let_40)) :args _let_23)) _let_22 :args (_let_40 true _let_19)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_10))) :args _let_23)) :args ((or _let_10 _let_39))) _let_42 :args (_let_10 true _let_39)))) (let ((_let_44 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f X)) (and (tptp.big_f Y) (tptp.big_h Y X) (not (tptp.big_g Y))) (tptp.big_g X))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_6 _let_11 (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.big_h Y X)))) :args (_let_44))) _let_45 :args (_let_13 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_9 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_12 _let_31 _let_32 (not _let_34)))) _let_43 _let_28 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_33 _let_7 _let_30 (not _let_37)))) _let_43 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 1)) _let_42 :args (_let_8 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f Y) false))))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 2)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_23)) :args ((or _let_14 _let_16))) _let_26 :args (_let_14 true _let_16)) :args (_let_37 false _let_14)) :args (_let_30 false _let_10 true _let_7 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_j Y X) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_32 false _let_10 false _let_5 false _let_30 false _let_34)) :args (_let_29 true _let_9)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_26 :args ((not _let_6) true _let_16)) _let_28 :args (false false _let_13 true _let_11 true _let_6 false _let_5)) :args (_let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55 )
% 0.22/0.55 % SZS output end Proof for SYN070+1
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------