TSTP Solution File: KRS124+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS124+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 : Thu Aug 31 05:41:31 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS124+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n024.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 : Mon Aug 28 01:26:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.z8NaSmx9fi/cvc5---1.0.5_30739.p...
% 0.20/0.51 ------- get file name : TPTP file name is KRS124+1
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30739.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for KRS124+1
% 0.20/0.53 % SZS output start Proof for KRS124+1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_10903))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.ca_Ax3 X) (and (tptp.cd X) (tptp.cc X)))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.cdxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.cd X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (=> (tptp.cc X) (tptp.cdxcomp X))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cowlThing Y))) (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (tptp.ca_Ax3 Y)))))))) (let ((_let_7 (tptp.cdxcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y0))))) (let ((_let_9 (not _let_8))) (let ((_let_10 (= _let_7 _let_9))) (let ((_let_11 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_7))) (let ((_let_14 (forall ((X $$unsorted)) (or (not (tptp.cc X)) (tptp.cdxcomp X))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (and _let_16 _let_11))) (let ((_let_18 (tptp.ca_Ax3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (_let_2))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (tptp.rr tptp.i2003_11_14_17_22_10903 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_18))) (let ((_let_25 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_10903 Y)) (tptp.ca_Ax3 Y))))) (let ((_let_26 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_10903 Y)) (not (tptp.cowlThing Y)))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (and _let_27 _let_25))) (let ((_let_29 (= _let_1 _let_28))) (let ((_let_30 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cowlThing Y))))) (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (tptp.ca_Ax3 Y)))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or (not _let_1) _let_28 (not _let_29)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.i2003_11_14_17_22_10903 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_28 false _let_1 false _let_29)))) (let ((_let_33 (not _let_28))) (let ((_let_34 (_let_25))) (let ((_let_35 (or _let_23 (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or))) (let ((_let_38 (_let_27))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or (not _let_18) _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_18 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_37)) :args ((or _let_22 _let_35))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) (REFL :args (_let_36)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_27 _let_33))) _let_32 :args (_let_27 false _let_28)) :args (_let_36 true _let_26)) :args (_let_22 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rr tptp.i2003_11_14_17_22_10903 Y) false))))) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_25 _let_33))) _let_32 :args (_let_25 false _let_28)) :args (_let_24 false _let_25)) :args (_let_18 false _let_22 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax3 X)))) :args _let_20)) _let_21 :args (_let_19 false _let_2)) :args (_let_17 false _let_18 false _let_19)))) (let ((_let_40 (not _let_17))) (let ((_let_41 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y))))) (let ((_let_42 (= _let_16 _let_41))) (let ((_let_43 (forall ((X $$unsorted)) (= (tptp.cd X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (forall ((X $$unsorted)) (= (tptp.cdxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or (not _let_7) _let_9 (not _let_10)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cdxcomp X)))) :args (_let_45))) _let_46 :args (_let_10 false _let_45)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_41 (= Y Y0)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_42)) :args ((or (not _let_16) _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_16 _let_40))) _let_39 :args (_let_16 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cd X)))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_41 false _let_16 false _let_42)) :args (_let_8 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_7 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_11 _let_40))) _let_39 :args (_let_11 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cc X) false))))) :args (_let_14))) _let_15 :args (_let_13 false _let_14)) :args (_let_7 false _let_11 false _let_13)) :args (false false _let_10 false _let_8 false _let_7)) :args ((forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_6 _let_5 (forall ((X $$unsorted)) (=> (tptp.cc1 X) (tptp.cd1 X))) (forall ((X $$unsorted)) (=> (tptp.cc1 X) (tptp.cd1xcomp X))) _let_4 _let_3 (forall ((X $$unsorted)) (= (tptp.cd1 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px2 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cd1xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px2 X Y))))) (forall ((X $$unsorted)) (=> (tptp.ce3 X) (tptp.cc X))) (forall ((X $$unsorted)) (=> (tptp.cf X) (tptp.cd X))) _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.54 % SZS output end Proof for KRS124+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------