TSTP Solution File: KRS235+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS235+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 05:41:54 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS235+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.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 01:55:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Z4K0OabYpT/cvc5---1.0.5_16906.p...
% 0.20/0.55 ------- get file name : TPTP file name is KRS235+1
% 0.20/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16906.smt2...
% 0.20/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Theorem for KRS235+1
% 0.20/0.55 % SZS output start Proof for KRS235+1
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (tptp.nevera tptp.noc tptp.thm))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((I $$unsorted) (F $$unsorted)) (xor (tptp.model I F) (tptp.model I (tptp.not F)))))) (let ((_let_4 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (=> (tptp.status Ax C S1) (not (tptp.status Ax C S2)))) (tptp.nevera S1 S2))))) (let ((_let_5 (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (exists ((I2 $$unsorted)) (and (tptp.model I2 Ax) (tptp.model I2 (tptp.not C))))) (tptp.status Ax C tptp.noc))))) (let ((_let_6 (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((I1 $$unsorted)) (=> (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.thm))))) (let ((_let_7 (tptp.model SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_8 (tptp.model SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_9 (not _let_7))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (tptp.model SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_9 _let_12))) (let ((_let_14 (forall ((I2 $$unsorted)) (or (not (tptp.model I2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (not (tptp.model I2 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (not _let_14))) (let ((_let_17 (and (not (forall ((I1 $$unsorted)) (or (not (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (not (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))))) _let_16))) (let ((_let_18 (tptp.status SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 tptp.noc))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.noc) (and (not (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (not (tptp.model I1 C))))) (not (forall ((I2 $$unsorted)) (or (not (tptp.model I2 Ax)) (not (tptp.model I2 (tptp.not C))))))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (tptp.status SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 tptp.thm))) (let ((_let_23 (not _let_22))) (let ((_let_24 (not _let_18))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C tptp.noc)) (not (tptp.status Ax C tptp.thm)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (= _let_1 _let_26))) (let ((_let_29 (not _let_26))) (let ((_let_30 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (tptp.nevera S1 S2) (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C S1)) (not (tptp.status Ax C S2)))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (_let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_33)) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_26))) (REFL :args (_let_27)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_1 _let_29 (not _let_28)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.noc tptp.thm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.nevera S1 S2)))) :args (_let_30))) _let_31 :args (_let_28 false _let_30)) :args (_let_29 true _let_1 false _let_28)) :args (_let_27 true _let_26)))) (let ((_let_35 (REFL :args (_let_25)))) (let ((_let_36 (_let_16))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_14))) (REFL :args (_let_15)) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_24 _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_18))) :args _let_32)) :args ((or _let_18 _let_25))) _let_34 :args (_let_18 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.status Ax C tptp.noc)))) :args (_let_20))) _let_21 :args (_let_19 false _let_20)) :args (_let_17 false _let_18 false _let_19)) :args (_let_16 false _let_17)) :args (_let_15 true _let_14)))) (let ((_let_38 (REFL :args (_let_13)))) (let ((_let_39 (forall ((I1 $$unsorted)) (or (not (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))))) (let ((_let_40 (= _let_22 _let_39))) (let ((_let_41 (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.thm) (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (tptp.model I1 C))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_39))) (let ((_let_44 (not _let_8))) (let ((_let_45 (= _let_11 _let_44))) (let ((_let_46 (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I (tptp.not F)) (not (tptp.model I F)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_12 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_32)) :args ((or _let_11 _let_13))) _let_37 :args (_let_11 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING ((tptp.model I (tptp.not F))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 false _let_11 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) false))))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or _let_23 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_32)) :args ((or _let_22 _let_25))) _let_34 :args (_let_22 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.status Ax C tptp.thm)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_39 false _let_22 false _let_40)) :args (_let_10 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_7))) :args _let_32)) :args ((or _let_7 _let_13))) _let_37 :args (_let_7 true _let_13)) :args (false true _let_8 false _let_10 false _let_7)) :args ((forall ((Ax $$unsorted) (C $$unsorted)) (= (=> (not (exists ((I1 $$unsorted)) (tptp.model I1 Ax))) (not (exists ((I2 $$unsorted)) (tptp.model I2 C)))) (tptp.status Ax C tptp.unp))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (=> (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (exists ((I2 $$unsorted)) (tptp.model I2 C))) (tptp.status Ax C tptp.sap))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (= (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (exists ((I2 $$unsorted)) (tptp.model I2 C))) (tptp.status Ax C tptp.esa))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.sat))) _let_6 (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (= (tptp.model I2 Ax) (tptp.model I2 C)))) (tptp.status Ax C tptp.eqv))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (tptp.model I2 C))) (tptp.status Ax C tptp.tac))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (=> (tptp.model I2 Ax) (tptp.model I2 C))) (exists ((I3 $$unsorted)) (and (tptp.model I3 C) (not (tptp.model I3 Ax))))) (tptp.status Ax C tptp.wec))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (exists ((I2 $$unsorted)) (not (tptp.model I2 Ax))) (forall ((I3 $$unsorted)) (= (tptp.model I3 Ax) (tptp.model I3 C)))) (tptp.status Ax C tptp.eth))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.tau))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (exists ((I2 $$unsorted)) (not (tptp.model I2 Ax))) (forall ((I3 $$unsorted)) (tptp.model I3 C))) (tptp.status Ax C tptp.wtc))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (=> (tptp.model I2 Ax) (tptp.model I2 C))) (exists ((I3 $$unsorted)) (and (tptp.model I3 C) (not (tptp.model I3 Ax)))) (exists ((I4 $$unsorted)) (not (tptp.model I4 C)))) (tptp.status Ax C tptp.wth))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (not (exists ((I1 $$unsorted)) (tptp.model I1 Ax))) (tptp.status Ax C tptp.cax))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (not (exists ((I1 $$unsorted)) (tptp.model I1 Ax))) (exists ((I2 $$unsorted)) (tptp.model I2 C))) (tptp.status Ax C tptp.sca))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (not (exists ((I1 $$unsorted)) (tptp.model I1 Ax))) (forall ((I2 $$unsorted)) (tptp.model I2 C))) (tptp.status Ax C tptp.tca))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (not (exists ((I1 $$unsorted)) (tptp.model I1 Ax))) (exists ((I2 $$unsorted)) (tptp.model I2 C)) (exists ((I3 $$unsorted)) (not (tptp.model I3 C)))) (tptp.status Ax C tptp.wca))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 (tptp.not C)))) (tptp.status Ax C tptp.csa))) (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (forall ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (tptp.model I2 (tptp.not C)))) (tptp.status Ax C tptp.uns))) _let_5 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (exists ((Ax $$unsorted) (C $$unsorted)) (and (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.mighta S1 S2))) (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (=> (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.isa S1 S2))) (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (exists ((Ax $$unsorted) (C $$unsorted)) (and (tptp.status Ax C S1) (not (tptp.status Ax C S2)))) (tptp.nota S1 S2))) _let_4 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (xor (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.xora S1 S2))) _let_3 (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I F) (not (tptp.model I (tptp.not F))))) (exists ((F $$unsorted)) (forall ((I $$unsorted)) (tptp.model I F))) (exists ((F $$unsorted)) (and (exists ((I1 $$unsorted)) (tptp.model I1 F)) (exists ((I2 $$unsorted)) (not (tptp.model I2 F))))) (exists ((F $$unsorted)) (forall ((I $$unsorted)) (not (tptp.model I F)))) (exists ((Ax $$unsorted) (C $$unsorted)) (and (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (exists ((I2 $$unsorted)) (or (not (tptp.model I2 Ax)) (not (tptp.model I2 C)))))) (exists ((Ax $$unsorted) (C $$unsorted)) (and (exists ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (=> (tptp.model I2 Ax) (tptp.model I2 C))) (exists ((I3 $$unsorted)) (and (not (tptp.model I3 Ax)) (tptp.model I3 C))) (exists ((I4 $$unsorted)) (not (tptp.model I4 C))))) (exists ((I1 $$unsorted) (Ax $$unsorted) (C $$unsorted)) (and (tptp.model I1 Ax) (not (tptp.model I1 C)) (exists ((I2 $$unsorted)) (tptp.model I2 C)))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for KRS235+1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------