TSTP Solution File: KRS203+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS203+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 69.19s 64.52s
% Output : Proof 69.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS203+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.11 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 01:54:04 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 %----Proving TF0_NAR, FOF, or CNF
% 69.19/64.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3qH398Agwr/cvc5---1.0.5_28933.p...
% 69.19/64.52 ------- get file name : TPTP file name is KRS203+1
% 69.19/64.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28933.smt2...
% 69.19/64.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 69.19/64.52 --- Run --no-e-matching --full-saturate-quant at 5...
% 69.19/64.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 69.19/64.52 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 69.19/64.52 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 69.19/64.52 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 69.19/64.52 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 69.19/64.52 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 69.19/64.52 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 69.19/64.52 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 69.19/64.52 --- Run --relevant-triggers --full-saturate-quant at 5...
% 69.19/64.52 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 69.19/64.52 % SZS status Theorem for KRS203+1
% 69.19/64.52 % SZS output start Proof for KRS203+1
% 69.19/64.52 (
% 69.19/64.52 (let ((_let_1 (not (tptp.nota tptp.sat tptp.thm)))) (let ((_let_2 (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))))))) (let ((_let_3 (exists ((F $$unsorted)) (forall ((I $$unsorted)) (tptp.model I 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)) (= (forall ((I1 $$unsorted)) (=> (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.thm))))) (let ((_let_7 (forall ((Ax $$unsorted) (C $$unsorted)) (= (exists ((I1 $$unsorted)) (and (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.sat))))) (let ((_let_8 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)) (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39)))))) (let ((_let_9 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_10 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_9))) (let ((_let_11 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10))) (let ((_let_14 (io_tptp.status_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_9 i_tptp.thm_8))) (let ((_let_15 (= _let_14 _let_8))) (let ((_let_16 (forall ((Ax $$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_17 (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.thm) (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (tptp.model I1 C))))) _let_16))))))) (let ((_let_18 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_9 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_19 (io_tptp.status_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_9 i_tptp.sat_7))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_14))) (let ((_let_22 (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_tptp.status_3 Ax C i_tptp.sat_7)) (io_tptp.status_3 Ax C i_tptp.thm_8))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (io_tptp.nota_25 i_tptp.sat_7 i_tptp.thm_8))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (io_tptp.nota_25 b_S1 b_S2) (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_tptp.status_3 Ax C b_S1)) (io_tptp.status_3 Ax C b_S2)))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (tptp.nota S1 S2) (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C S1)) (tptp.status Ax C S2)))))) _let_26))))))) (let ((_let_28 (not _let_25))) (let ((_let_29 (or))) (let ((_let_30 (_let_22))) (let ((_let_31 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)) (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))))))) (let ((_let_32 (not _let_31))) (let ((_let_33 (= _let_19 _let_32))) (let ((_let_34 (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_tptp.status_3 Ax C i_tptp.sat_7) (not (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 Ax)) (not (io_tptp.model_4 b_I1 C))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.sat) (not (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (not (tptp.model I1 C))))))) _let_34))))))) (let ((_let_36 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (not (io_tptp.model_4 b_I1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))))) (let ((_let_37 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_38 (not _let_37))) (let ((_let_39 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_9))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (not _let_41))) (let ((_let_43 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_44 (not _let_43))) (let ((_let_45 (= _let_44 _let_39))) (let ((_let_46 (forall ((b_I it_8_$$unsorted) (F $$unsorted)) (= (io_tptp.model_4 b_I (tptp.not F)) (not (io_tptp.model_4 b_I F)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I (tptp.not F)) (not (tptp.model I F)))) _let_46))))))) (let ((_let_48 (_let_46))) (let ((_let_49 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or (not (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)) (not (forall ((b_I2 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)) (io_tptp.model_4 b_I2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39)))) _let_43 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) _let_50))) (let ((_let_52 (forall ((Ax $$unsorted) (C $$unsorted) (b_BOUND_VARIABLE_1494 it_8_$$unsorted) (b_BOUND_VARIABLE_1488 it_8_$$unsorted) (b_BOUND_VARIABLE_1484 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_BOUND_VARIABLE_1484 Ax)) (not (forall ((b_I2 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I2 Ax)) (io_tptp.model_4 b_I2 C)))) (io_tptp.model_4 b_BOUND_VARIABLE_1494 C) (io_tptp.model_4 b_BOUND_VARIABLE_1488 Ax) (not (io_tptp.model_4 b_BOUND_VARIABLE_1488 C)))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (not _let_52))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Ax $$unsorted) (C $$unsorted) (BOUND_VARIABLE_1494 $$unsorted) (BOUND_VARIABLE_1488 $$unsorted) (BOUND_VARIABLE_1484 $$unsorted)) (or (not (tptp.model BOUND_VARIABLE_1484 Ax)) (not (forall ((I2 $$unsorted)) (or (not (tptp.model I2 Ax)) (tptp.model I2 C)))) (tptp.model BOUND_VARIABLE_1494 C) (tptp.model BOUND_VARIABLE_1488 Ax) (not (tptp.model BOUND_VARIABLE_1488 C))))) _let_54))))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args (_let_54))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_52))) (REFL :args (_let_53)) :args _let_29)) _let_55 :args (_let_53 true _let_52)))) (let ((_let_57 (not _let_45))) (let ((_let_58 (forall ((b_I it_8_$$unsorted)) (io_tptp.model_4 b_I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_59 (forall ((F $$unsorted)) (not (forall ((b_I it_8_$$unsorted)) (io_tptp.model_4 b_I F)))))) (let ((_let_60 (not _let_59))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((F $$unsorted)) (not (forall ((I $$unsorted)) (tptp.model I F))))) _let_60))))))) (let ((_let_62 (_let_58))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_61) :args (_let_60)) (REWRITE :args ((=> _let_60 (not (not _let_58))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) (REFL :args _let_62) :args _let_29)) _let_61 :args (_let_58 true _let_59)))) (let ((_let_64 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_65 (ASSUME :args _let_62))) (let ((_let_66 (_let_36))) (let ((_let_67 (not _let_33))) (let ((_let_68 (not _let_13))) (let ((_let_69 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_70 (= _let_50 _let_10))) (let ((_let_71 (not _let_10))) (let ((_let_72 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args _let_69) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_10 _let_12 _let_68))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_70)) :args ((or _let_50 _let_71 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 4)) (CONG (REFL :args (_let_51)) (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_29)) :args ((or _let_49 _let_51))) _let_56 :args (_let_49 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_48))) _let_47 :args (_let_70 false _let_46)) :args (_let_71 false _let_49 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_69) :args _let_62)) _let_63 :args (_let_11 false _let_58)) :args (_let_68 true _let_10 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or _let_8 (not _let_14) (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_14 _let_20 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_33)) (CONG (REFL :args (_let_67)) (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_29)) :args ((or _let_19 _let_31 _let_67))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (MACRO_SR_PRED_INTRO :args ((= _let_36 _let_31) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_66) :args _let_64) :args _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_38 _let_40 _let_42))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_64) :args _let_62)) _let_63 :args (_let_37 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_45)) (CONG (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) (REFL :args (_let_39)) :args _let_29)) :args ((or _let_43 _let_39 _let_57))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 2)) _let_56 :args (_let_44 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48))) _let_47 :args (_let_45 false _let_46)) :args (_let_39 true _let_43 false _let_45)) :args (_let_42 false _let_37 false _let_39)) :args ((not _let_36) true _let_41)) :args (_let_32 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_18) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_19 true _let_31 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_25)) (CONG (REFL :args (_let_28)) (REFL :args (_let_24)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_29)) :args ((or _let_24 _let_22 _let_28))) (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 (not _let_24))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (i_tptp.sat_7 i_tptp.thm_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.nota_25 b_S1 b_S2)))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_22 true _let_24 false _let_25)) :args (_let_21 false _let_22)) :args (_let_14 false _let_19 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args _let_18) :args (_let_16))) _let_17 :args (_let_15 false _let_16)) :args (_let_8 false _let_14 false _let_15)) :args (false true _let_13 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 $$unsorted)) (tptp.model I2 C))) (tptp.status Ax C tptp.esa))) _let_7 _let_6 (forall ((Ax $$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))) _let_4 (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I F) (not (tptp.model I (tptp.not F))))) _let_3 (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 $$unsorted)) (or (not (tptp.model I2 Ax)) (not (tptp.model I2 C)))))) _let_2 (exists ((I1 $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 69.19/64.53 )
% 69.19/64.53 % SZS output end Proof for KRS203+1
% 69.19/64.53 % cvc5---1.0.5 exiting
% 69.19/64.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------