TSTP Solution File: COM012+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 14:02:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BRDDSDyzFC/cvc5---1.0.5_9518.p...
% 0.21/0.56 ------- get file name : TPTP file name is COM012+3
% 0.21/0.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9518.smt2...
% 0.21/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Theorem for COM012+3
% 0.21/0.56 % SZS output start Proof for COM012+3
% 0.21/0.56 (
% 0.21/0.56 (let ((_let_1 (tptp.sdtmndtasgtdt0 tptp.xx tptp.xR tptp.xz))) (let ((_let_2 (tptp.sdtmndtplgtdt0 tptp.xx tptp.xR tptp.xz))) (let ((_let_3 (tptp.sdtmndtplgtdt0 tptp.xy tptp.xR tptp.xz))) (let ((_let_4 (tptp.aReductOfIn0 tptp.xz tptp.xy tptp.xR))) (let ((_let_5 (= tptp.xy tptp.xz))) (let ((_let_6 (tptp.sdtmndtasgtdt0 tptp.xx tptp.xR tptp.xy))) (let ((_let_7 (tptp.sdtmndtplgtdt0 tptp.xx tptp.xR tptp.xy))) (let ((_let_8 (tptp.aReductOfIn0 tptp.xy tptp.xx tptp.xR))) (let ((_let_9 (= tptp.xx tptp.xy))) (let ((_let_10 (not (=> (and (or _let_9 (and (or _let_8 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xx tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xy)))) _let_7)) _let_6 (or _let_5 (and (or _let_4 (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xy tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xz)))) _let_3)) (tptp.sdtmndtasgtdt0 tptp.xy tptp.xR tptp.xz)) (or (= tptp.xx tptp.xz) (tptp.aReductOfIn0 tptp.xz tptp.xx tptp.xR) (exists ((W0 $$unsorted)) (and (tptp.aElement0 W0) (tptp.aReductOfIn0 W0 tptp.xx tptp.xR) (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xz))) _let_2 _let_1))))) (let ((_let_11 (tptp.aElement0 tptp.xz))) (let ((_let_12 (tptp.aElement0 tptp.xy))) (let ((_let_13 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_14 (tptp.aElement0 tptp.xx))) (let ((_let_15 (and _let_14 _let_13 _let_12 _let_11))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))))) (let ((_let_17 (3))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (NOT_IMPLIES_ELIM2 _let_18))) (let ((_let_20 (NOT_OR_ELIM _let_19 :args _let_17))) (let ((_let_21 (and (or _let_4 (not (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xy tptp.xR)) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xz)))))) _let_3))) (let ((_let_22 (not _let_5))) (let ((_let_23 (1))) (let ((_let_24 (NOT_IMPLIES_ELIM1 _let_18))) (let ((_let_25 (not _let_6))) (let ((_let_26 (or))) (let ((_let_27 (not _let_1))) (let ((_let_28 (REFL :args (tptp.xR)))) (let ((_let_29 (2))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_3 (not _let_21)))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_24 :args _let_29) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_27)))) (CONG (REFL :args (tptp.xx)) _let_28 (SYMM (ASSUME :args (_let_5))) :args (APPLY_UF tptp.sdtmndtasgtdt0)) (TRUE_INTRO (ASSUME :args (_let_6))))) :args (_let_6 _let_5 _let_27))) (CONG (REFL :args (_let_25)) (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_1))) :args _let_26)) :args ((or _let_1 _let_25 _let_22))) (NOT_OR_ELIM _let_19 :args (4)) (AND_ELIM _let_24 :args _let_23) :args (_let_22 true _let_1 false _let_6)) :args (_let_21 true _let_5)) :args (_let_3 false _let_21)))) (let ((_let_31 (and (or _let_8 (not (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aReductOfIn0 W0 tptp.xx tptp.xR)) (not (tptp.sdtmndtplgtdt0 W0 tptp.xR tptp.xy)))))) _let_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_3))) (let ((_let_34 (not _let_7))) (let ((_let_35 (not _let_11))) (let ((_let_36 (not _let_12))) (let ((_let_37 (not _let_13))) (let ((_let_38 (not _let_14))) (let ((_let_39 (or _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_2))) (let ((_let_40 (forall ((W0 $$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_41 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (ASSUME :args (_let_15)))) (let ((_let_43 (0))) (let ((_let_44 (not _let_9))) (let ((_let_45 (not _let_2))) (let ((_let_46 (ASSUME :args (_let_45)))) (let ((_let_47 (ASSUME :args (_let_9)))) (let ((_let_48 (ASSUME :args (_let_3)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_47 _let_48) :args (_let_9 _let_3 _let_45)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_48)) (CONG (SYMM _let_47) _let_28 (REFL :args (tptp.xz)) :args (APPLY_UF tptp.sdtmndtplgtdt0)) (FALSE_INTRO _let_46))) :args (_let_45 _let_9 _let_3)) :args ((not (and _let_9 _let_3 _let_45)) SB_LITERAL))) (CONG (REFL :args (_let_44)) (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_2))) :args _let_26)) :args ((or _let_2 _let_44 _let_33))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_24 :args _let_43) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_7 _let_32))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_2 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 (not _let_39)))) _let_20 (AND_ELIM _let_42 :args _let_43) (AND_ELIM _let_42 :args _let_23) (AND_ELIM _let_42 :args _let_29) (AND_ELIM _let_42 :args _let_17) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :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_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_34 true _let_2 false _let_14 false _let_13 false _let_12 false _let_11 false _let_3 false _let_39)) :args (_let_32 true _let_7)) :args (_let_9 true _let_31)) _let_30 _let_20 :args (false false _let_9 false _let_3 true _let_2)) :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 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 W1) (tptp.sdtmndtplgtdt0 W3 W1 W2))))))) _let_16 (forall ((W0 $$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_15 _let_10 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56 )
% 0.21/0.56 % SZS output end Proof for COM012+3
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------