TSTP Solution File: SYN415+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 02:03:03 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
% 0.00/0.13 % Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n014.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 20:45:02 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.gU5WVn7zni/cvc5---1.0.5_9228.p...
% 0.21/0.54 ------- get file name : TPTP file name is SYN415+1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9228.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 SYN415+1
% 0.21/0.54 % SZS output start Proof for SYN415+1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (= (and (exists ((X $$unsorted)) (tptp.f X)) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.f Y) (tptp.f Z)) (= Y Z)))) (exists ((U $$unsorted)) (and (tptp.f U) (forall ((V $$unsorted)) (=> (tptp.f V) (= U V))))))))) (let ((_let_2 (forall ((X $$unsorted)) (not (tptp.f X))))) (let ((_let_3 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (forall ((U $$unsorted)) (or (not (tptp.f U)) (not (forall ((V $$unsorted)) (or (not (tptp.f V)) (= U V)))))))) (let ((_let_6 (forall ((Y $$unsorted) (Z $$unsorted)) (or (not (tptp.f Y)) (not (tptp.f Z)) (= Y Z))))) (let ((_let_7 (not _let_2))) (let ((_let_8 (and _let_7 _let_6))) (let ((_let_9 (forall ((V $$unsorted)) (or (not (tptp.f V)) (= V SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_4))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_14 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (or _let_11 _let_15 _let_13))) (let ((_let_18 (or))) (let ((_let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_2))))) (let ((_let_20 (_let_7))) (let ((_let_21 (forall ((V $$unsorted)) (or (not (tptp.f V)) (= V SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_3))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_25))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (or _let_29 _let_31))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (or _let_27 _let_33))) (let ((_let_35 (not _let_8))) (let ((_let_36 (not _let_5))) (let ((_let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_5))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (not _let_6))) (let ((_let_40 (_let_39))) (let ((_let_41 (_let_8))) (let ((_let_42 (not _let_24))) (let ((_let_43 (_let_36))) (let ((_let_44 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43) (REWRITE :args ((=> _let_36 (not (or _let_23 (not (forall ((V $$unsorted)) (or (not (tptp.f V)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 V))))))))))) (CONG _let_37 (REFL :args (_let_42)) :args _let_18)))) (let ((_let_45 (REFL :args (_let_24)))) (let ((_let_46 (REFL :args (_let_30)))) (let ((_let_47 (_let_21))) (let ((_let_48 ((not (= (tptp.f V) false))))) (let ((_let_49 (ASSUME :args _let_47))) (let ((_let_50 (not _let_25))) (let ((_let_51 (and _let_50 _let_31))) (let ((_let_52 (_let_50 _let_31))) (let ((_let_53 (ASSUME :args (_let_50)))) (let ((_let_54 (ASSUME :args (_let_31)))) (let ((_let_55 (NOT_EQUIV_ELIM1 _let_38))) (let ((_let_56 (_let_5))) (let ((_let_57 (_let_10))) (let ((_let_58 (_let_6))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.f Y) false)) (not (= (tptp.f Z) false))))) :args _let_58)) (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_11 _let_15 _let_13 (not _let_17)))) (CNF_OR_NEG :args (_let_16 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_18)) :args ((or _let_14 _let_16))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_10 (not (or _let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args ((not _let_16))) :args _let_18)) (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_10 (not _let_12)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f U) false))))) :args _let_56))) (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_6 _let_35))) _let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_54) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_54)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args (=)) (FALSE_INTRO _let_53))) :args _let_52)) :args _let_52)) :args (true _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_25))) (REFL :args ((not _let_31))) (REFL :args ((not _let_33))) :args _let_18)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_27 _let_33 (not _let_34)))) (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_31 (not _let_32)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47))) (CNF_OR_NEG :args (_let_30 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_18)) :args ((or _let_26 _let_30))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_18)) :args ((or _let_28 _let_30))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_18)) :args ((or _let_21 _let_24))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_6))) (REFL :args ((not _let_30))) :args _let_18)) _let_44 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_41) (CONG (REFL :args _let_41) _let_19 (REFL :args _let_40) :args _let_18)) :args ((or _let_2 _let_8 _let_39))) (REORDERING (EQ_RESOLVE (NOT_EQUIV_ELIM2 _let_38) (CONG (REFL :args (_let_35)) _let_37 :args _let_18)) :args ((or _let_5 _let_35))) :args ((or _let_2 _let_5) false _let_33 false _let_31 false _let_34 false _let_32 true _let_25 false _let_26 false _let_28 false _let_21 true _let_30 true _let_24 true _let_6 true _let_8)) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_20)) :args _let_20) (REWRITE :args ((=> _let_7 (not _let_11)))))) (CONG _let_19 (REFL :args (_let_4)) :args _let_18)) :args (_let_2 true _let_17 true _let_13 false _let_14 true _let_16 true _let_9 false _let_12 false _let_6 false _let_8 false _let_5 false _let_4)))) (let ((_let_60 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f X) false))))) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_3))) :args _let_18)) :args ((or _let_3 _let_24))) (MACRO_RESOLUTION_TRUST _let_44 (MACRO_RESOLUTION_TRUST _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 0)) :args ((or _let_7 _let_35))) _let_59 :args (_let_35 false _let_2)) :args (_let_36 true _let_8)) :args (_let_42 true _let_5)) :args (_let_3 true _let_24)) _let_59 :args (false false _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SYN415+1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------