TSTP Solution File: KRS217+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 63.37s 63.57s
% Output : Proof 63.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n014.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 01:30:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 63.37/63.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.xzzDVBILRE/cvc5---1.0.5_8863.p...
% 63.37/63.57 ------- get file name : TPTP file name is KRS217+1
% 63.37/63.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8863.smt2...
% 63.37/63.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 63.37/63.57 --- Run --no-e-matching --full-saturate-quant at 5...
% 63.37/63.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 63.37/63.57 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 63.37/63.57 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 63.37/63.57 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 63.37/63.57 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 63.37/63.57 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 63.37/63.57 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 63.37/63.57 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 63.37/63.57 --- Run --relevant-triggers --full-saturate-quant at 5...
% 63.37/63.57 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 63.37/63.57 % SZS status Theorem for KRS217+1
% 63.37/63.57 % SZS output start Proof for KRS217+1
% 63.37/63.57 (
% 63.37/63.57 (let ((_let_1 (not (tptp.nota tptp.noc 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 (forall ((I $$unsorted) (F $$unsorted)) (xor (tptp.model I F) (tptp.model I (tptp.not 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)) (= (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))))) (let ((_let_6 (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((I1 $$unsorted)) (=> (tptp.model I1 Ax) (tptp.model I1 C))) (tptp.status Ax C tptp.thm))))) (let ((_let_7 (forall ((b_I it_8_$$unsorted) (F $$unsorted)) (= (io_tptp.model_4 b_I (tptp.not F)) (not (io_tptp.model_4 b_I F)))))) (let ((_let_8 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_11 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((I $$unsorted) (F $$unsorted)) (= (tptp.model I (tptp.not F)) (not (tptp.model I F)))) _let_7))))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_16 (or _let_9 _let_15))) (let ((_let_17 (forall ((b_I2 it_8_$$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 ((_let_18 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_19 (not _let_18))) (let ((_let_20 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (let ((_let_21 (not _let_17))) (let ((_let_22 (or (not (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38)) _let_21 _let_15 _let_20 _let_19))) (let ((_let_23 (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_24 (not _let_22))) (let ((_let_25 (not _let_23))) (let ((_let_26 (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_25))))))) (let ((_let_27 (or))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_25))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_23))) (REFL :args (_let_24)) :args _let_27)) _let_26 :args (_let_24 true _let_23)))) (let ((_let_29 (REFL :args (_let_22)))) (let ((_let_30 (_let_17))) (let ((_let_31 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_32 (not _let_15))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 2)) _let_28 :args (_let_32 true _let_22)))) (let ((_let_34 (not _let_11))) (let ((_let_35 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (let ((_let_36 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_35))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_34))) (let ((_let_39 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))))))) (let ((_let_40 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))))))) (let ((_let_41 (forall ((b_I2 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I2 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (not (io_tptp.model_4 b_I2 (tptp.not (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39)))))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (not _let_40))) (let ((_let_44 (and _let_43 _let_42))) (let ((_let_45 (io_tptp.status_3 _let_10 _let_35 i_tptp.noc_22))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (not _let_44))) (let ((_let_48 (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_tptp.status_3 Ax C i_tptp.noc_22) (and (not (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 Ax)) (not (io_tptp.model_4 b_I1 C))))) (not (forall ((b_I2 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I2 Ax)) (not (io_tptp.model_4 b_I2 (tptp.not C))))))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.noc) (and (not (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (not (tptp.model I1 C))))) (not (forall ((I2 $$unsorted)) (or (not (tptp.model I2 Ax)) (not (tptp.model I2 (tptp.not C))))))))) _let_48))))))) (let ((_let_50 (_let_10 _let_35 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_51 (io_tptp.status_3 _let_10 _let_35 i_tptp.thm_8))) (let ((_let_52 (not _let_45))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_tptp.status_3 Ax C i_tptp.noc_22)) (io_tptp.status_3 Ax C i_tptp.thm_8))))) (let ((_let_55 (not _let_54))) (let ((_let_56 (io_tptp.nota_25 i_tptp.noc_22 i_tptp.thm_8))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (io_tptp.nota_25 b_S1 b_S2) (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_tptp.status_3 Ax C b_S1)) (io_tptp.status_3 Ax C b_S2)))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((S1 $$unsorted) (S2 $$unsorted)) (= (tptp.nota S1 S2) (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (tptp.status Ax C S1)) (tptp.status Ax C S2)))))) _let_58))))))) (let ((_let_60 (not _let_57))) (let ((_let_61 (_let_54))) (let ((_let_62 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39)))))) (let ((_let_63 (= _let_51 _let_62))) (let ((_let_64 (not _let_51))) (let ((_let_65 (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_tptp.status_3 Ax C i_tptp.thm_8) (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 Ax)) (io_tptp.model_4 b_I1 C))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Ax $$unsorted) (C $$unsorted)) (= (tptp.status Ax C tptp.thm) (forall ((I1 $$unsorted)) (or (not (tptp.model I1 Ax)) (tptp.model I1 C))))) _let_65))))))) (let ((_let_67 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_35))) (let ((_let_68 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_10))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (not _let_70))) (let ((_let_72 (not _let_20))) (let ((_let_73 (= _let_72 _let_68))) (let ((_let_74 (_let_7))) (let ((_let_75 (not _let_73))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_73)) (CONG (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_20))) (REFL :args (_let_68)) :args _let_27)) :args ((or _let_20 _let_68 _let_75))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 3)) _let_28 :args (_let_72 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74))) _let_13 :args (_let_73 false _let_7)) :args (_let_68 true _let_20 false _let_73)))) (let ((_let_77 (= _let_19 _let_67))) (let ((_let_78 (not _let_67))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_77)) :args ((or _let_19 _let_78 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 4)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_27)) :args ((or _let_18 _let_22))) _let_28 :args (_let_18 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_74))) _let_13 :args (_let_77 false _let_7)) :args (_let_78 false _let_18 false _let_77)))) (let ((_let_80 (_let_62))) (let ((_let_81 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_82 (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))) (not (io_tptp.model_4 b_I1 (tptp.not (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39)))))))) (let ((_let_83 (io_tptp.model_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 (tptp.not _let_35)))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_69 _let_84))) (let ((_let_86 (not _let_85))) (let ((_let_87 (= _let_78 _let_83))) (let ((_let_88 (not _let_87))) (let ((_let_89 (_let_82))) (let ((_let_90 (_let_44))) (let ((_let_91 (_let_39))) (let ((_let_92 (= _let_32 _let_36))) (let ((_let_93 (not _let_92))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_12)) (CONG (REFL :args (_let_14)) (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_27)) :args ((or _let_11 _let_8 _let_14))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_34 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_92)) (CONG (REFL :args (_let_93)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_15))) (REFL :args (_let_36)) :args _let_27)) :args ((or _let_15 _let_36 _let_93))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74))) _let_13 :args (_let_92 false _let_7)) :args (_let_36 true _let_15 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args _let_31) :args _let_91)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_39 (= b_I1 b_I1))) (MACRO_SR_PRED_INTRO :args ((= (forall ((b_I1 it_8_$$unsorted)) (or (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39))) (not (io_tptp.model_4 b_I1 (tptp.not SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38))))) _let_40) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_90) (CONG (REFL :args _let_90) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_40))) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_27)) :args ((or _let_40 _let_41 _let_44))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_82 (= b_I1 b_I2)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_89) :args _let_81) :args _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_69 _let_84 _let_86))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_87)) (CONG (REFL :args (_let_88)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_67))) (REFL :args (_let_83)) :args _let_27)) :args ((or _let_67 _let_83 _let_88))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74))) _let_13 :args (_let_87 false _let_7)) :args (_let_83 true _let_67 false _let_87)) :args (_let_86 false _let_68 false _let_83)) :args ((not _let_82) true _let_85)) :args (_let_42 true _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_46)) :args ((or _let_45 _let_47 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_51 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_62 _let_64 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args _let_81) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_67 _let_69 _let_71))) _let_79 _let_76 :args (_let_71 true _let_67 false _let_68)) :args ((not _let_62) true _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_50) :args (_let_65))) _let_66 :args (_let_63 false _let_65)) :args (_let_64 true _let_62 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (_let_10 _let_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_57)) (CONG (REFL :args (_let_60)) (REFL :args (_let_56)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_27)) :args ((or _let_56 _let_54 _let_60))) (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 (not _let_56))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (i_tptp.noc_22 i_tptp.thm_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.nota_25 b_S1 b_S2)))) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_54 true _let_56 false _let_57)) :args (_let_53 false _let_54)) :args (_let_52 true _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_50) :args (_let_48))) _let_49 :args (_let_46 false _let_48)) :args (_let_47 true _let_45 false _let_46)) :args (_let_40 true _let_41 true _let_44)) :args (_let_39 false _let_40)) :args (_let_38 false _let_39)) :args (_let_34 false _let_36 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_9 (not _let_16)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args _let_31) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) :args _let_27)) :args ((or _let_17 _let_22))) _let_28 :args (_let_17 true _let_22)) :args (_let_16 false _let_17)) :args (_let_9 true _let_15 false _let_16)) :args (_let_14 true _let_11 true _let_8)) _let_13 :args (false true _let_12 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))) (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_5 (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))) _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 $$unsorted)) (or (not (tptp.model I2 Ax)) (not (tptp.model I2 C)))))) _let_2 (exists ((I1 $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 63.37/63.58 )
% 63.37/63.58 % SZS output end Proof for KRS217+1
% 63.37/63.58 % cvc5---1.0.5 exiting
% 63.37/63.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------