TSTP Solution File: KRS200+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 05:41:48 EDT 2023
% Result : Theorem 21.26s 21.51s
% Output : Proof 21.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 01:48:04 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 21.26/21.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.u11N0PD9vX/cvc5---1.0.5_18901.p...
% 21.26/21.51 ------- get file name : TPTP file name is KRS200+1
% 21.26/21.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18901.smt2...
% 21.26/21.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.26/21.51 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.26/21.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.26/21.51 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.26/21.51 % SZS status Theorem for KRS200+1
% 21.26/21.51 % SZS output start Proof for KRS200+1
% 21.26/21.51 (
% 21.26/21.51 (let ((_let_1 (tptp.nota tptp.unp tptp.thm))) (let ((_let_2 (not _let_1))) (let ((_let_3 (exists ((F $$unsorted)) (forall ((I $$unsorted)) (not (tptp.model I F)))))) (let ((_let_4 (exists ((F $$unsorted)) (forall ((I $$unsorted)) (tptp.model I F))))) (let ((_let_5 (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 ((_let_6 (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((I1 $$unsorted)) (=> (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.thm))))) (let ((_let_7 (forall ((Ax $$unsorted) (C $$unsorted)) (= (=> (not (exists ((I1 $$unsorted)) (tptp.model I1 Ax))) (not (exists ((I2 $$unsorted)) (tptp.model I2 C)))) (tptp.status Ax C tptp.unp))))) (let ((_let_8 (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C tptp.unp)) (tptp.status Ax C tptp.thm))))) (let ((_let_9 (tptp.status SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.thm))) (let ((_let_10 (tptp.status SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.unp))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (not _let_8))) (let ((_let_14 (= _let_1 _let_13))) (let ((_let_15 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (tptp.nota S1 S2) (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C S1)) (tptp.status Ax C S2)))))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (not _let_14))) (let ((_let_18 (or))) (let ((_let_19 (not _let_12))) (let ((_let_20 (forall ((I2 $$unsorted)) (not (tptp.model I2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_21 (or (not (forall ((I1 $$unsorted)) (not (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) _let_20))) (let ((_let_22 (= _let_10 _let_21))) (let ((_let_23 (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.unp) (or (not (forall ((I1 $$unsorted)) (not (tptp.model I1 Ax)))) (forall ((I2 $$unsorted)) (not (tptp.model I2 C)))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_26 (forall ((I $$unsorted)) (not (tptp.model I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_27 (forall ((F $$unsorted)) (not (forall ((I $$unsorted)) (not (tptp.model I F))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_26))) (let ((_let_30 (not _let_27))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_28) :args (_let_30)) (REWRITE :args ((=> _let_30 (not (not _let_26))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_27))) (REFL :args _let_29) :args _let_18)) _let_28 :args (_let_26 true _let_27)))) (let ((_let_32 (forall ((I1 $$unsorted)) (or (not (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.model I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_33 (= _let_9 _let_32))) (let ((_let_34 (not _let_9))) (let ((_let_35 (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.thm) (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (tptp.model I1 C))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (tptp.model tptp.unp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_38 (tptp.model tptp.unp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (not _let_40))) (let ((_let_42 (forall ((I $$unsorted)) (tptp.model I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_43 (forall ((F $$unsorted)) (not (forall ((I $$unsorted)) (tptp.model I F)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_42))) (let ((_let_46 (not _let_43))) (let ((_let_47 (tptp.unp QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_48 (_let_32))) (let ((_let_49 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_9 _let_11 _let_19))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_33)) :args ((or _let_32 _let_34 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (tptp.unp QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_37 _let_39 _let_41))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args _let_47) :args _let_29)) _let_31 :args ((not _let_37) false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_45) :args _let_47) :args _let_45)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_44) :args (_let_46)) (REWRITE :args ((=> _let_46 (not (not _let_42))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_43))) (REFL :args _let_45) :args _let_18)) _let_44 :args (_let_42 true _let_43)) :args (_let_38 false _let_42)) :args (_let_41 true _let_37 false _let_38)) :args ((not _let_32) true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args _let_25) :args (_let_35))) _let_36 :args (_let_33 false _let_35)) :args (_let_34 true _let_32 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_10 (not _let_21) (not _let_22)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_26 (= I I2)))) _let_31 :args (_let_20 false _let_26)) :args (_let_21 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args _let_25) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_10 false _let_21 false _let_22)) :args (_let_19 true _let_9 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_14)) (CONG (REFL :args (_let_17)) (REFL :args (_let_1)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_8))) :args _let_18)) :args ((or _let_1 _let_8 _let_17))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.unp tptp.thm QUANTIFIERS_INST_CBQI_PROP)) :args (_let_15))) _let_16 :args (_let_14 false _let_15)) :args (_let_8 true _let_1 false _let_14)) :args (false true _let_12 false _let_8)) :args (_let_7 (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 $$unsorted)) (tptp.model I2 (tptp.not C)))) (tptp.status Ax C tptp.uns))) (forall ((Ax $$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 $$unsorted)) (=> (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.isa S1 S2))) _let_5 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (=> (tptp.status Ax C S1) (not (tptp.status Ax C S2)))) (tptp.nevera S1 S2))) (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (xor (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.xora S1 S2))) (forall ((I $$unsorted) (F $$unsorted)) (xor (tptp.model I F) (tptp.model I (tptp.not F)))) (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I F) (not (tptp.model I (tptp.not F))))) _let_4 (exists ((F $$unsorted)) (and (exists ((I1 $$unsorted)) (tptp.model I1 F)) (exists ((I2 $$unsorted)) (not (tptp.model I2 F))))) _let_3 (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))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.26/21.51 )
% 21.26/21.51 % SZS output end Proof for KRS200+1
% 21.26/21.51 % cvc5---1.0.5 exiting
% 21.36/21.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------