TSTP Solution File: KRS202+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS202+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 05:41:49 EDT 2023
% Result : Theorem 63.59s 63.76s
% Output : Proof 63.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS202+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n026.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 01:27:19 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 63.59/63.76 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.AeWlwrvOfY/cvc5---1.0.5_24270.p...
% 63.59/63.76 ------- get file name : TPTP file name is KRS202+1
% 63.59/63.76 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24270.smt2...
% 63.59/63.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 63.59/63.76 --- Run --no-e-matching --full-saturate-quant at 5...
% 63.59/63.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 63.59/63.76 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 63.59/63.76 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 63.59/63.76 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 63.59/63.76 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 63.59/63.76 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 63.59/63.76 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 63.59/63.76 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 63.59/63.76 --- Run --relevant-triggers --full-saturate-quant at 5...
% 63.59/63.76 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 63.59/63.76 % SZS status Theorem for KRS202+1
% 63.59/63.76 % SZS output start Proof for KRS202+1
% 63.59/63.76 (
% 63.59/63.76 (let ((_let_1 (not (tptp.nota tptp.esa tptp.thm)))) (let ((_let_2 (exists ((F $$unsorted)) (and (exists ((I1 $$unsorted)) (tptp.model I1 F)) (exists ((I2 $$unsorted)) (not (tptp.model I2 F))))))) (let ((_let_3 (exists ((F $$unsorted)) (forall ((I $$unsorted)) (tptp.model I F))))) (let ((_let_4 (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (exists ((Ax $$unsorted) (C $$unsorted)) (and (tptp.status Ax C S1) (not (tptp.status Ax C S2)))) (tptp.nota S1 S2))))) (let ((_let_5 (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((I1 $$unsorted)) (=> (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.thm))))) (let ((_let_6 (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))))) (let ((_let_7 (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_tptp.status_3 Ax C i_tptp.esa_6)) (io_tptp.status_3 Ax C i_tptp.thm_8))))) (let ((_let_8 (io_tptp.status_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 i_tptp.thm_8))) (let ((_let_9 (io_tptp.status_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 i_tptp.esa_6))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (not _let_7))) (let ((_let_13 (io_tptp.nota_25 i_tptp.esa_6 i_tptp.thm_8))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (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_16 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 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_15))))))) (let ((_let_17 (not _let_14))) (let ((_let_18 (or))) (let ((_let_19 (not _let_11))) (let ((_let_20 (forall ((b_I1 it_8_$$unsorted)) (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (forall ((b_I2 it_8_$$unsorted)) (not (io_tptp.model_4 b_I2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (= _let_23 _let_21))) (let ((_let_25 (= _let_9 _let_24))) (let ((_let_26 (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_tptp.status_3 Ax C i_tptp.esa_6) (= (not (forall ((b_I1 it_8_$$unsorted)) (not (io_tptp.model_4 b_I1 Ax)))) (not (forall ((b_I2 it_8_$$unsorted)) (not (io_tptp.model_4 b_I2 C))))))))) (let ((_let_27 (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.esa) (= (not (forall ((I1 $$unsorted)) (not (tptp.model I1 Ax)))) (not (forall ((I2 $$unsorted)) (not (tptp.model I2 C))))))) _let_26))))))) (let ((_let_28 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_29 (forall ((b_I2 it_8_$$unsorted)) (not (io_tptp.model_4 b_I2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))))) (let ((_let_30 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (forall ((b_I it_8_$$unsorted)) (io_tptp.model_4 b_I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_33 (forall ((F $$unsorted)) (not (forall ((b_I it_8_$$unsorted)) (io_tptp.model_4 b_I F)))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((F $$unsorted)) (not (forall ((I $$unsorted)) (tptp.model I F))))) _let_34))))))) (let ((_let_36 (_let_32))) (let ((_let_37 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args _let_37) :args _let_36)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_35) :args (_let_34)) (REWRITE :args ((=> _let_34 (not (not _let_32))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) (REFL :args _let_36) :args _let_18)) _let_35 :args (_let_32 true _let_33)) :args (_let_30 false _let_32)))) (let ((_let_39 (not _let_30))) (let ((_let_40 (_let_29))) (let ((_let_41 (forall ((b_I1 it_8_$$unsorted)) (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))))) (let ((_let_42 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_43 (not _let_41))) (let ((_let_44 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_45 (not _let_42))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (forall ((F $$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_48 (not _let_46))) (let ((_let_49 (not _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((F $$unsorted) (BOUND_VARIABLE_1396 $$unsorted) (BOUND_VARIABLE_1392 $$unsorted)) (or (not (tptp.model BOUND_VARIABLE_1392 F)) (tptp.model BOUND_VARIABLE_1396 F)))) _let_49))))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_50) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_47))) (REFL :args (_let_48)) :args _let_18)) _let_50 :args (_let_48 true _let_47)))) (let ((_let_52 (_let_41))) (let ((_let_53 (_let_24))) (let ((_let_54 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)) (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))))) (let ((_let_55 (= _let_8 _let_54))) (let ((_let_56 (not _let_8))) (let ((_let_57 (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_tptp.status_3 Ax C i_tptp.thm_8) (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 Ax)) (io_tptp.model_4 b_I1 C))))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.thm) (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (tptp.model I1 C))))) _let_57))))))) (let ((_let_59 (or _let_39 _let_44))) (let ((_let_60 (not _let_59))) (let ((_let_61 (_let_54))) (let ((_let_62 (_let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_8 _let_10 _let_19))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_54 _let_56 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args _let_37) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_44 _let_39 _let_60))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 1)) _let_51 :args ((not _let_44) true _let_46)) _let_38 :args (_let_60 true _let_44 false _let_30)) :args ((not _let_54) true _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_28) :args (_let_57))) _let_58 :args (_let_55 false _let_57)) :args (_let_56 true _let_54 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_9 (not _let_24) (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_53) (CONG (REFL :args _let_53) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_18)) :args ((or _let_22 _let_20 _let_24))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_41 (= b_I1 b_I2)))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_52) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) :args ((or _let_45 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_42))) :args _let_18)) :args ((or _let_42 _let_46))) _let_51 :args (_let_42 true _let_46)) :args (_let_43 false _let_42)) :args (_let_23 true _let_41)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_29 (= b_I2 b_I1)))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args _let_37) :args _let_40)) :args ((or _let_39 _let_31))) _let_38 :args (_let_31 false _let_30)) :args (_let_21 true _let_29)) :args (_let_24 true _let_22 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_28) :args (_let_26)))) _let_27 :args (_let_25 false _let_26)) :args (_let_9 false _let_24 false _let_25)) :args (_let_19 true _let_8 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_14)) (CONG (REFL :args (_let_17)) (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_7))) :args _let_18)) :args ((or _let_13 _let_7 _let_17))) (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 (not _let_13))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (i_tptp.esa_6 i_tptp.thm_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.nota_25 b_S1 b_S2)))) :args (_let_15))) _let_16 :args (_let_14 false _let_15)) :args (_let_7 true _let_13 false _let_14)) :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))) _let_6 (forall ((Ax $$unsorted) (C $$unsorted)) (= (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.sat))) _let_5 (forall ((Ax $$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_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))) (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_3 _let_2 (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_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 63.59/63.77 )
% 63.59/63.77 % SZS output end Proof for KRS202+1
% 63.59/63.77 % cvc5---1.0.5 exiting
% 63.59/63.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------