TSTP Solution File: COM012+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 : Wed Aug 30 18:36:57 EDT 2023
% Result : Theorem 0.16s 0.50s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 13:45:41 EDT 2023
% 0.16/0.32 % CPUTime :
% 0.16/0.45 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dvkjAeoYJw/cvc5---1.0.5_18797.p...
% 0.16/0.50 ------- get file name : TPTP file name is COM012+1
% 0.16/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18797.smt2...
% 0.16/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.50 % SZS status Theorem for COM012+1
% 0.16/0.50 % SZS output start Proof for COM012+1
% 0.16/0.50 (
% 0.16/0.50 (let ((_let_1 (tptp.sdtmndtasgtdt0 tptp.xx tptp.xR tptp.xz))) (let ((_let_2 (tptp.sdtmndtasgtdt0 tptp.xy tptp.xR tptp.xz))) (let ((_let_3 (tptp.sdtmndtasgtdt0 tptp.xx tptp.xR tptp.xy))) (let ((_let_4 (not (=> (and _let_3 _let_2) _let_1)))) (let ((_let_5 (tptp.aElement0 tptp.xz))) (let ((_let_6 (tptp.aElement0 tptp.xy))) (let ((_let_7 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_8 (tptp.aElement0 tptp.xx))) (let ((_let_9 (and _let_8 _let_7 _let_6 _let_5))) (let ((_let_10 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (not (tptp.aElement0 W3)) (not (tptp.sdtmndtplgtdt0 W0 W1 W2)) (not (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3))))) (let ((_let_13 (tptp.sdtmndtplgtdt0 tptp.xx tptp.xR tptp.xz))) (let ((_let_14 (tptp.sdtmndtplgtdt0 tptp.xy tptp.xR tptp.xz))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.sdtmndtplgtdt0 tptp.xx tptp.xR tptp.xy))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_5))) (let ((_let_19 (not _let_6))) (let ((_let_20 (not _let_7))) (let ((_let_21 (not _let_8))) (let ((_let_22 (or _let_21 _let_20 _let_19 _let_18 _let_17 _let_15 _let_13))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (= tptp.xy tptp.xz))) (let ((_let_26 (or _let_25 _let_14))) (let ((_let_27 (= _let_2 _let_26))) (let ((_let_28 (or _let_19 _let_20 _let_18 _let_27))) (let ((_let_29 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 ((tptp.sdtmndtasgtdt0 W0 W1 W2)))) (let ((_let_33 (ASSUME :args (_let_9)))) (let ((_let_34 (AND_ELIM _let_33 :args (3)))) (let ((_let_35 (AND_ELIM _let_33 :args (2)))) (let ((_let_36 (1))) (let ((_let_37 (AND_ELIM _let_33 :args _let_36))) (let ((_let_38 (ASSUME :args (_let_4)))) (let ((_let_39 (NOT_IMPLIES_ELIM1 _let_38))) (let ((_let_40 (not _let_25))) (let ((_let_41 (0))) (let ((_let_42 (AND_ELIM _let_39 :args _let_41))) (let ((_let_43 (NOT_IMPLIES_ELIM2 _let_38))) (let ((_let_44 (not _let_3))) (let ((_let_45 (or))) (let ((_let_46 (not _let_1))) (let ((_let_47 (ASSUME :args (_let_3)))) (let ((_let_48 (ASSUME :args (_let_25)))) (let ((_let_49 (REFL :args (tptp.xR)))) (let ((_let_50 (ASSUME :args (_let_46)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_14 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_48 _let_50) :args (_let_3 _let_46 _let_25)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_50)) (CONG (REFL :args (tptp.xx)) _let_49 (SYMM _let_48) :args (APPLY_UF tptp.sdtmndtasgtdt0)) (TRUE_INTRO _let_47))) :args (_let_3 _let_25 _let_46)) :args ((not (and _let_3 _let_46 _let_25)) SB_LITERAL))) (CONG (REFL :args (_let_44)) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_1))) (REFL :args (_let_40)) :args _let_45)) :args ((or _let_1 _let_44 _let_40))) _let_43 _let_42 :args (_let_40 true _let_1 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or (not _let_2) _let_26 (not _let_27)))) (AND_ELIM _let_39 :args _let_36) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_20 _let_19 _let_18 _let_27 (not _let_28)))) _let_37 _let_35 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xy tptp.xR tptp.xz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_7 false _let_6 false _let_5 false _let_28)) :args (_let_26 false _let_2 false _let_27)) :args (_let_14 true _let_25 false _let_26)))) (let ((_let_52 (= tptp.xx tptp.xy))) (let ((_let_53 (or _let_52 _let_16))) (let ((_let_54 (= _let_3 _let_53))) (let ((_let_55 (or _let_21 _let_20 _let_19 _let_54))) (let ((_let_56 (AND_ELIM _let_33 :args _let_41))) (let ((_let_57 (not _let_52))) (let ((_let_58 (or (= tptp.xx tptp.xz) _let_13))) (let ((_let_59 (not _let_13))) (let ((_let_60 (= _let_1 _let_58))) (let ((_let_61 (not _let_58))) (let ((_let_62 (or _let_21 _let_20 _let_18 _let_60))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_1 _let_61 (not _let_60)))) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_21 _let_20 _let_18 _let_60 (not _let_62)))) _let_56 _let_37 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xx tptp.xR tptp.xz QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_62 false _let_29)) :args (_let_60 false _let_8 false _let_7 false _let_5 false _let_62)) :args (_let_61 true _let_1 false _let_60)) :args (_let_59 true _let_58)))) (let ((_let_64 (ASSUME :args (_let_59)))) (let ((_let_65 (ASSUME :args (_let_52)))) (let ((_let_66 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.xx tptp.xR tptp.xy tptp.xz QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.aElement0 W0) false)) (not (= (tptp.aRewritingSystem0 W1) false)) (not (= (tptp.aElement0 W2) false)) (not (= (tptp.aElement0 W3) false))))) :args (_let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 _let_19 _let_18 _let_13 _let_17 _let_15 _let_24))) _let_56 _let_37 _let_35 _let_34 _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_16 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_64 _let_65 _let_66) :args (_let_52 _let_14 _let_59)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_66)) (CONG (SYMM _let_65) _let_49 (REFL :args (tptp.xz)) :args (APPLY_UF tptp.sdtmndtplgtdt0)) (FALSE_INTRO _let_64))) :args (_let_59 _let_52 _let_14)) :args ((not (and _let_52 _let_14 _let_59)) SB_LITERAL))) (CONG (REFL :args (_let_57)) (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_13))) :args _let_45)) :args ((or _let_13 _let_57 _let_15))) _let_63 _let_51 :args (_let_57 true _let_13 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_44 _let_53 (not _let_54)))) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_21 _let_20 _let_19 _let_54 (not _let_55)))) _let_56 _let_37 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xx tptp.xR tptp.xy QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_55 false _let_29)) :args (_let_54 false _let_8 false _let_7 false _let_6 false _let_55)) :args (_let_53 false _let_3 false _let_54)) :args (_let_16 true _let_52 false _let_53)) _let_51 :args (_let_24 false _let_8 false _let_7 false _let_6 false _let_5 true _let_13 false _let_16 false _let_14)) _let_23 :args (false true _let_22 false _let_12)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) true)) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aReductOfIn0 W2 W0 W1) (tptp.aElement0 W2))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W0 W1 W2) true))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtplgtdt0 W0 W1 W2) (or (tptp.aReductOfIn0 W2 W0 W1) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 W1) (tptp.sdtmndtplgtdt0 W3 W1 W2))))))) _let_11 _let_10 _let_9 _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.50 )
% 0.16/0.50 % SZS output end Proof for COM012+1
% 0.16/0.50 % cvc5---1.0.5 exiting
% 0.16/0.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------