TSTP Solution File: KRS234+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS234+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 05:41:53 EDT 2023
% Result : Theorem 0.22s 0.60s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS234+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n012.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 01:57:54 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.60 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sWu3qaFtCr/cvc5---1.0.5_27276.p...
% 0.22/0.60 ------- get file name : TPTP file name is KRS234+1
% 0.22/0.60 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27276.smt2...
% 0.22/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.60 % SZS status Theorem for KRS234+1
% 0.22/0.60 % SZS output start Proof for KRS234+1
% 0.22/0.60 (
% 0.22/0.60 (let ((_let_1 (tptp.nevera tptp.uns 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 (forall ((I1 $$unsorted)) (tptp.model I1 Ax)) (forall ((I2 $$unsorted)) (tptp.model I2 (tptp.not C)))) (tptp.status Ax C tptp.uns))))) (let ((_let_6 (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((I1 $$unsorted)) (=> (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.thm))))) (let ((_let_7 (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I (tptp.not F)) (not (tptp.model I F)))))) (let ((_let_8 (tptp.model SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.model SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (forall ((I2 $$unsorted)) (tptp.model I2 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))))) (let ((_let_15 (forall ((I1 $$unsorted)) (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (tptp.status SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 tptp.uns))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (_let_5))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (tptp.status SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 tptp.thm))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_17))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C tptp.uns)) (not (tptp.status Ax C tptp.thm)))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (= _let_1 _let_25))) (let ((_let_28 (not _let_25))) (let ((_let_29 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (tptp.nevera S1 S2) (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C S1)) (not (tptp.status Ax C S2)))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (_let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_25))) (REFL :args (_let_26)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_27)) :args ((or _let_1 _let_28 (not _let_27)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.uns tptp.thm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.nevera S1 S2)))) :args (_let_29))) _let_30 :args (_let_27 false _let_29)) :args (_let_28 true _let_1 false _let_27)) :args (_let_26 true _let_25)))) (let ((_let_34 (REFL :args (_let_24)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or _let_23 _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_17))) :args _let_31)) :args ((or _let_17 _let_24))) _let_33 :args (_let_17 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.status Ax C tptp.uns)))) :args _let_19))) _let_20 :args (_let_18 false _let_5)) :args (_let_16 false _let_17 false _let_18)))) (let ((_let_36 (not _let_16))) (let ((_let_37 (_let_14))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_39 (tptp.model SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_8))) (let ((_let_42 (forall ((I1 $$unsorted)) (or (not (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))))) (let ((_let_43 (= _let_21 _let_42))) (let ((_let_44 (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_45 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_42))) (let ((_let_47 (_let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING ((tptp.model I (tptp.not F))))) :args (_let_7))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_9 (not _let_10) _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_8 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args _let_38) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_36))) _let_35 :args (_let_15 false _let_16)) :args (_let_39 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args _let_38) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_43)) :args ((or _let_22 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_31)) :args ((or _let_21 _let_24))) _let_33 :args (_let_21 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.status Ax C tptp.thm)))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_42 false _let_21 false _let_43)) :args (_let_41 false _let_42)) :args (_let_8 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args _let_38) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_14 _let_36))) _let_35 :args (_let_14 false _let_16)) :args (_let_10 false _let_14)) :args (_let_13 false _let_8 false _let_10)) _let_12 :args (false true _let_11 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 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 (tptp.not C)))) (tptp.status Ax C tptp.csa))) _let_5 (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (exists ((I2 $$unsorted)) (and (tptp.model I2 Ax) (tptp.model I2 (tptp.not C))))) (tptp.status Ax C tptp.noc))) (forall ((S1 $$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))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.60 )
% 0.22/0.60 % SZS output end Proof for KRS234+1
% 0.22/0.60 % cvc5---1.0.5 exiting
% 0.22/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------