TSTP Solution File: KRS215+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS215+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 05:41:51 EDT 2023
% Result : Theorem 62.14s 62.33s
% Output : Proof 62.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS215+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 02:07:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 62.14/62.33 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.metYLAx3Hl/cvc5---1.0.5_6288.p...
% 62.14/62.33 ------- get file name : TPTP file name is KRS215+1
% 62.14/62.33 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6288.smt2...
% 62.14/62.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 62.14/62.33 --- Run --no-e-matching --full-saturate-quant at 5...
% 62.14/62.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 62.14/62.33 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 62.14/62.33 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 62.14/62.33 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 62.14/62.33 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 62.14/62.33 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 62.14/62.33 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 62.14/62.33 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 62.14/62.33 --- Run --relevant-triggers --full-saturate-quant at 5...
% 62.14/62.33 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 62.14/62.33 % SZS status Theorem for KRS215+1
% 62.14/62.33 % SZS output start Proof for KRS215+1
% 62.14/62.33 (
% 62.14/62.33 (let ((_let_1 (not (tptp.nota tptp.csa tptp.thm)))) (let ((_let_2 (exists ((F $$unsorted)) (forall ((I $$unsorted)) (not (tptp.model I F)))))) (let ((_let_3 (exists ((F $$unsorted)) (and (exists ((I1 $$unsorted)) (tptp.model I1 F)) (exists ((I2 $$unsorted)) (not (tptp.model I2 F))))))) (let ((_let_4 (forall ((I $$unsorted) (F $$unsorted)) (xor (tptp.model I F) (tptp.model I (tptp.not F)))))) (let ((_let_5 (forall ((S1 $$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 $$unsorted)) (= (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 (tptp.not C)))) (tptp.status Ax C tptp.csa))))) (let ((_let_7 (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((I1 $$unsorted)) (=> (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.thm))))) (let ((_let_8 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))))) (let ((_let_9 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_10 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (io_tptp.status_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 i_tptp.thm_8))) (let ((_let_14 (= _let_13 _let_8))) (let ((_let_15 (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_tptp.status_3 Ax C i_tptp.thm_8) (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 Ax)) (io_tptp.model_4 b_I1 C))))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.thm) (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (tptp.model I1 C))))) _let_15))))))) (let ((_let_17 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_18 (io_tptp.status_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 i_tptp.csa_20))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_13))) (let ((_let_21 (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_tptp.status_3 Ax C i_tptp.csa_20)) (io_tptp.status_3 Ax C i_tptp.thm_8))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (io_tptp.nota_25 i_tptp.csa_20 i_tptp.thm_8))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (io_tptp.nota_25 b_S1 b_S2) (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_tptp.status_3 Ax C b_S1)) (io_tptp.status_3 Ax C b_S2)))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (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_25))))))) (let ((_let_27 (not _let_24))) (let ((_let_28 (or))) (let ((_let_29 (_let_21))) (let ((_let_30 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (= _let_18 _let_31))) (let ((_let_33 (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_tptp.status_3 Ax C i_tptp.csa_20) (not (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 Ax)) (not (io_tptp.model_4 b_I1 (tptp.not C)))))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.csa) (not (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (not (tptp.model I1 (tptp.not C)))))))) _let_33))))))) (let ((_let_35 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_11 _let_36))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_9))) (let ((_let_40 (= _let_39 _let_35))) (let ((_let_41 (forall ((b_I it_8_$$unsorted) (F $$unsorted)) (= (io_tptp.model_4 b_I (tptp.not F)) (not (io_tptp.model_4 b_I F)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I (tptp.not F)) (not (tptp.model I F)))) _let_41))))))) (let ((_let_43 (forall ((b_I it_8_$$unsorted)) (not (io_tptp.model_4 b_I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))))) (let ((_let_44 (forall ((F $$unsorted)) (not (forall ((b_I it_8_$$unsorted)) (not (io_tptp.model_4 b_I F))))))) (let ((_let_45 (not _let_44))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((F $$unsorted)) (not (forall ((I $$unsorted)) (not (tptp.model I F)))))) _let_45))))))) (let ((_let_47 (_let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_47)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_46) :args (_let_45)) (REWRITE :args ((=> _let_45 (not (not _let_43))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) (REFL :args _let_47) :args _let_28)) _let_46 :args (_let_43 true _let_44)) :args (_let_39 false _let_43)))) (let ((_let_49 (not _let_40))) (let ((_let_50 (or _let_11 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))) (let ((_let_51 (forall ((F $$unsorted) (b_BOUND_VARIABLE_1396 it_8_$$unsorted) (b_BOUND_VARIABLE_1392 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_BOUND_VARIABLE_1392 F)) (io_tptp.model_4 b_BOUND_VARIABLE_1396 F))))) (let ((_let_52 (not _let_50))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((F $$unsorted) (BOUND_VARIABLE_1396 $$unsorted) (BOUND_VARIABLE_1392 $$unsorted)) (or (not (tptp.model BOUND_VARIABLE_1392 F)) (tptp.model BOUND_VARIABLE_1396 F)))) _let_53))))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG (REFL :args (_let_50)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_28)) :args ((or _let_10 _let_50))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_51))) (REFL :args (_let_52)) :args _let_28)) _let_54 :args (_let_52 true _let_51)) :args (_let_10 true _let_50)))) (let ((_let_56 (_let_30))) (let ((_let_57 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_58 (not _let_32))) (let ((_let_59 (not _let_12))) (let ((_let_60 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args _let_57) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_9 _let_59))) _let_55 _let_48 :args (_let_59 false _let_10 true _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_14)) :args ((or _let_8 (not _let_13) (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_13 _let_19 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_32)) (CONG (REFL :args (_let_58)) (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_28)) :args ((or _let_18 _let_30 _let_58))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args _let_57) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_11 _let_36 _let_38))) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_40)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_9))) (REFL :args (_let_35)) :args _let_28)) :args ((or _let_9 _let_35 _let_49))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_41)))) _let_42 :args (_let_40 false _let_41)) :args (_let_35 true _let_9 false _let_40)) :args (_let_38 false _let_10 false _let_35)) :args (_let_31 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_17) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_18 true _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_24)) (CONG (REFL :args (_let_27)) (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_28)) :args ((or _let_23 _let_21 _let_27))) (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 (not _let_23))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (i_tptp.csa_20 i_tptp.thm_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.nota_25 b_S1 b_S2)))) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_21 true _let_23 false _let_24)) :args (_let_20 false _let_21)) :args (_let_13 false _let_18 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args _let_17) :args (_let_15))) _let_16 :args (_let_14 false _let_15)) :args (_let_8 false _let_13 false _let_14)) :args (false true _let_12 false _let_8)) :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 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.sat))) _let_7 (forall ((Ax $$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 $$unsorted)) (not (tptp.model I3 C)))) (tptp.status Ax C tptp.wca))) _let_6 (forall ((Ax $$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 $$unsorted)) (xor (tptp.status Ax C S1) (tptp.status Ax C S2))) (tptp.xora S1 S2))) _let_4 (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I F) (not (tptp.model I (tptp.not F))))) (exists ((F $$unsorted)) (forall ((I $$unsorted)) (tptp.model I F))) _let_3 _let_2 (exists ((Ax $$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_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 62.14/62.34 )
% 62.14/62.34 % SZS output end Proof for KRS215+1
% 62.14/62.34 % cvc5---1.0.5 exiting
% 62.14/62.34 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------