TSTP Solution File: NUM420-1.000 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM420-1.000 : TPTP v8.1.2. Released v4.0.0.
% 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 10:43:44 EDT 2023
% Result : Unsatisfiable 11.72s 11.99s
% Output : Proof 11.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM420-1.000 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n026.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 : Fri Aug 25 16:40:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.klwxg1pOFm/cvc5---1.0.5_17662.p...
% 0.22/0.52 ------- get file name : TPTP file name is NUM420-1.000
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17662.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.42/10.62 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.72/11.99 % SZS status Unsatisfiable for NUM420-1.000
% 11.72/11.99 % SZS output start Proof for NUM420-1.000
% 11.81/12.02 (
% 11.81/12.02 (let ((_let_1 (= tptp.p__0 tptp.p__0))) (let ((_let_2 (forall ((X7 $$unsorted) (X12 $$unsorted)) (let ((_let_1 (tptp.times X12 X7))) (or (not (= X7 tptp.p__0)) (= (tptp.plus tptp.n0 _let_1) _let_1)))))) (let ((_let_3 (forall ((X10 $$unsorted)) (or (= X10 tptp.n1) (= (tptp.s_1 X10) tptp.p__0))))) (let ((_let_4 (forall ((X10 $$unsorted)) (let ((_let_1 (tptp.times (tptp.s_4 X10) (tptp.s_1 X10)))) (or (= X10 tptp.n1) (= (tptp.plus tptp.n0 _let_1) _let_1)))))) (let ((_let_5 (forall ((X10 $$unsorted)) (let ((_let_1 (tptp.s_4 X10))) (let ((_let_2 (tptp.s_1 X10))) (or (= X10 tptp.n1) (= (tptp.times _let_1 _let_2) (tptp.times _let_2 _let_1)))))))) (let ((_let_6 (forall ((X10 $$unsorted)) (or (= X10 tptp.n1) (= (tptp.times (tptp.s_1 X10) (tptp.s_4 X10)) X10))))) (let ((_let_7 (forall ((X7 $$unsorted)) (or (not (= X7 tptp.p__0)) (tptp.less tptp.n1 X7))))) (let ((_let_8 (tptp.less tptp.n1 tptp.p__0))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (tptp.plus tptp.n0 tptp.n1))) (let ((_let_12 (= _let_11 tptp.n1))) (let ((_let_13 (tptp.less tptp.n0 tptp.p__0))) (let ((_let_14 (tptp.less _let_11 tptp.p__0))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (forall ((X9 $$unsorted) (X22 $$unsorted)) (or (not (tptp.less tptp.n0 tptp.p__0)) (= (tptp.plus (tptp.times X9 tptp.p__0) (tptp.times X22 tptp.p__0)) (tptp.times (tptp.plus X9 X22) tptp.p__0)))))) (let ((_let_18 (tptp.s_7 tptp.p__0))) (let ((_let_19 (tptp.plus _let_18 tptp.n1))) (let ((_let_20 (= tptp.p__0 _let_19))) (let ((_let_21 (not _let_13))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (forall ((X1 $$unsorted)) (or (not (tptp.less tptp.n1 X1)) (not (= X1 tptp.n1)))))) (let ((_let_24 (forall ((X1 $$unsorted)) (tptp.less tptp.n0 (tptp.plus X1 tptp.n1))))) (let ((_let_25 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.times (tptp.plus X1 X2) X3) (tptp.plus (tptp.times X2 X3) (tptp.times X1 X3)))))) (let ((_let_26 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.plus (tptp.times X1 X2) X1) (tptp.times X1 (tptp.plus X2 tptp.n1)))))) (let ((_let_27 (forall ((X1 $$unsorted)) (= (tptp.times tptp.n1 X1) X1)))) (let ((_let_28 (forall ((X1 $$unsorted)) (not (= (tptp.plus tptp.n1 (tptp.plus X1 tptp.n1)) tptp.n1))))) (let ((_let_29 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (= X1 (tptp.plus X1 X2))) (= X2 tptp.n0))))) (let ((_let_30 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.plus X1 X2) (tptp.plus X2 X1))))) (let ((_let_31 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.plus (tptp.plus X1 X2) X3) (tptp.plus X1 (tptp.plus X2 X3)))))) (let ((_let_32 (forall ((X1 $$unsorted)) (= (tptp.plus X1 tptp.n0) X1)))) (let ((_let_33 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (tptp.less X1 X2)) (not (tptp.less X1 X3)) (not (tptp.less X2 X3)) (not (= (tptp.plus X2 (tptp.times X4 X3)) (tptp.plus X1 (tptp.times X5 X3)))))))) (let ((_let_34 (= tptp.n1 _let_11))) (let ((_let_35 (tptp.plus tptp.n0 tptp.n0))) (let ((_let_36 (= tptp.n0 _let_35))) (let ((_let_37 (tptp.plus tptp.n1 tptp.n0))) (let ((_let_38 (= _let_11 _let_37))) (let ((_let_39 (tptp.s_4 tptp.p__0))) (let ((_let_40 (tptp.s_1 tptp.p__0))) (let ((_let_41 (tptp.times _let_40 _let_39))) (let ((_let_42 (= tptp.p__0 _let_41))) (let ((_let_43 (tptp.times _let_39 _let_40))) (let ((_let_44 (= _let_41 _let_43))) (let ((_let_45 (= tptp.p__0 _let_40))) (let ((_let_46 (tptp.times tptp.n0 tptp.p__0))) (let ((_let_47 (= tptp.n0 _let_46))) (let ((_let_48 (tptp.plus tptp.p__0 tptp.n1))) (let ((_let_49 (tptp.times tptp.n0 _let_48))) (let ((_let_50 (= (tptp.plus _let_46 tptp.n0) _let_49))) (let ((_let_51 (tptp.times tptp.n1 _let_48))) (let ((_let_52 (= (tptp.times _let_37 _let_48) (tptp.plus _let_49 _let_51)))) (let ((_let_53 (= _let_48 _let_51))) (let ((_let_54 (= (tptp.plus (tptp.plus tptp.n1 _let_11) tptp.n1) (tptp.plus tptp.n1 (tptp.plus _let_11 tptp.n1))))) (let ((_let_55 (tptp.plus tptp.n1 tptp.n1))) (let ((_let_56 (tptp.plus _let_18 _let_55))) (let ((_let_57 (= (tptp.plus _let_55 _let_18) _let_56))) (let ((_let_58 (= (tptp.plus _let_19 tptp.n1) _let_56))) (let ((_let_59 (= _let_19 (tptp.plus tptp.n1 _let_18)))) (let ((_let_60 (= tptp.n1 _let_18))) (let ((_let_61 (tptp.s_4 _let_48))) (let ((_let_62 (tptp.s_1 _let_48))) (let ((_let_63 (tptp.times _let_62 _let_61))) (let ((_let_64 (= _let_48 _let_63))) (let ((_let_65 (= _let_63 (tptp.times _let_61 _let_62)))) (let ((_let_66 (= tptp.p__0 _let_62))) (let ((_let_67 (tptp.times _let_39 tptp.p__0))) (let ((_let_68 (= (tptp.plus _let_11 _let_67) (tptp.plus tptp.n0 (tptp.times _let_61 tptp.p__0))))) (let ((_let_69 (SYMM (ASSUME :args (_let_12))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (not _let_34))) (let ((_let_72 (and _let_8 _let_34))) (let ((_let_73 (_let_8 _let_34))) (let ((_let_74 (TRUE_INTRO _let_70))) (let ((_let_75 (APPLY_UF tptp.less))) (let ((_let_76 (REFL :args (tptp.p__0)))) (let ((_let_77 (SYMM _let_69))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_69) (SCOPE (TRUE_ELIM (TRANS (CONG _let_77 _let_76 :args _let_75) _let_74)) :args _let_73)) :args _let_73)) :args (true _let_72)) :args ((or _let_14 _let_9 _let_71))) _let_70 _let_69 :args (_let_14 false _let_8 false _let_34)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_16)) :args ((or _let_13 _let_15))) _let_78 :args (_let_13 false _let_14)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_22)) _let_79 :args (_let_20 false _let_13)))) (let ((_let_81 (forall ((X1 $$unsorted)) (= X1 (tptp.plus X1 tptp.n0))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (tptp.n0 QUANTIFIERS_INST_ENUM))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_83) :args (_let_81))) _let_82 :args (_let_36 false _let_81)))) (let ((_let_85 (_let_30))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (= tptp.n1 tptp.p__0))) (let ((_let_88 (or _let_87 _let_42))) (let ((_let_89 (forall ((X10 $$unsorted)) (or (= tptp.n1 X10) (= X10 (tptp.times (tptp.s_1 X10) (tptp.s_4 X10))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 (tptp.p__0 QUANTIFIERS_INST_ENUM))) (let ((_let_93 (tptp.less tptp.n1 tptp.n1))) (let ((_let_94 (not _let_87))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (or))) (let ((_let_97 (not _let_93))) (let ((_let_98 (ASSUME :args (_let_87)))) (let ((_let_99 (REFL :args (tptp.n1)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_95 _let_98 _let_70) :args (_let_8 _let_97 _let_87)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_74) (CONG _let_99 (SYMM _let_98) :args _let_75) (FALSE_INTRO _let_95))) :args (_let_97 _let_87 _let_8)) :args ((not (and _let_8 _let_97 _let_87)) SB_LITERAL))) (CONG (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_93))) (REFL :args (_let_94)) :args _let_96)) _let_70 _let_95 :args (_let_94 false _let_8 true _let_93)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_42 (not _let_88)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_92) :args _let_91)) _let_90 :args (_let_88 false _let_89)) :args (_let_42 true _let_87 false _let_88)))) (let ((_let_102 (or _let_87 _let_44))) (let ((_let_103 (forall ((X10 $$unsorted)) (let ((_let_1 (tptp.s_4 X10))) (let ((_let_2 (tptp.s_1 X10))) (or (= tptp.n1 X10) (= (tptp.times _let_1 _let_2) (tptp.times _let_2 _let_1)))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_87 _let_44 (not _let_102)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_92) :args _let_105))) _let_104 :args (_let_102 false _let_103)) :args (_let_44 true _let_87 false _let_102)))) (let ((_let_107 (or _let_87 _let_45))) (let ((_let_108 (forall ((X10 $$unsorted)) (or (= tptp.n1 X10) (= tptp.p__0 (tptp.s_1 X10)))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_87 _let_45 (not _let_107)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args _let_92) :args _let_110)) _let_109 :args (_let_107 false _let_108)) :args (_let_45 true _let_87 false _let_107)))) (let ((_let_112 (tptp.plus _let_46 _let_46))) (let ((_let_113 (= _let_112 (tptp.plus _let_112 _let_46)))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_47))) (let ((_let_116 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (= X1 (tptp.plus X1 X2))) (= tptp.n0 X2))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (= _let_112 (tptp.times _let_35 tptp.p__0)))) (let ((_let_119 (= _let_46 (tptp.plus tptp.n0 _let_46)))) (let ((_let_120 (forall ((X9 $$unsorted) (X22 $$unsorted)) (= (tptp.plus (tptp.times X9 tptp.p__0) (tptp.times X22 tptp.p__0)) (tptp.times (tptp.plus X9 X22) tptp.p__0))))) (let ((_let_121 (_let_120))) (let ((_let_122 (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.times X12 tptp.p__0))) (= _let_1 (tptp.plus tptp.n0 _let_1)))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (and _let_36 _let_119 _let_118))) (let ((_let_125 (APPLY_UF tptp.plus))) (let ((_let_126 (REFL :args (_let_46)))) (let ((_let_127 (ASSUME :args (_let_118)))) (let ((_let_128 (APPLY_UF tptp.times))) (let ((_let_129 (ASSUME :args (_let_36)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (ASSUME :args (_let_119)))) (let ((_let_132 (_let_26))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (_let_25))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 (forall ((X1 $$unsorted)) (= X1 (tptp.times tptp.n1 X1))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_31))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_18 tptp.n1 QUANTIFIERS_INST_ENUM)) :args _let_85)) _let_86 :args (_let_59 false _let_30)))) (let ((_let_141 (tptp.s_4 _let_18))) (let ((_let_142 (tptp.s_1 _let_18))) (let ((_let_143 (tptp.times _let_142 _let_141))) (let ((_let_144 (= _let_18 _let_143))) (let ((_let_145 (or _let_60 _let_144))) (let ((_let_146 (= _let_143 (tptp.times _let_141 _let_142)))) (let ((_let_147 (or _let_60 _let_146))) (let ((_let_148 (= tptp.p__0 _let_142))) (let ((_let_149 (or _let_60 _let_148))) (let ((_let_150 (= _let_43 (tptp.plus tptp.n0 _let_43)))) (let ((_let_151 (= (tptp.plus tptp.n0 _let_67) (tptp.plus _let_11 (tptp.times _let_141 tptp.p__0))))) (let ((_let_152 (_let_18 QUANTIFIERS_INST_ENUM))) (let ((_let_153 (or _let_87 _let_150))) (let ((_let_154 (forall ((X10 $$unsorted)) (let ((_let_1 (tptp.times (tptp.s_4 X10) (tptp.s_1 X10)))) (or (= tptp.n1 X10) (= _let_1 (tptp.plus tptp.n0 _let_1))))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (not _let_151))) (let ((_let_157 (tptp.less tptp.n0 _let_11))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_158 _let_21 _let_15 _let_156))) (let ((_let_160 (_let_33))) (let ((_let_161 (ASSUME :args _let_160))) (let ((_let_162 (_let_24))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args _let_83) :args _let_162)) _let_163 :args (_let_157 false _let_24)))) (let ((_let_165 (and _let_20 _let_34 _let_42 _let_44 _let_150 _let_45 _let_144 _let_146 _let_148 _let_59))) (let ((_let_166 (ASSUME :args (_let_148)))) (let ((_let_167 (ASSUME :args (_let_146)))) (let ((_let_168 (ASSUME :args (_let_144)))) (let ((_let_169 (ASSUME :args (_let_59)))) (let ((_let_170 (SYMM (SYMM _let_169)))) (let ((_let_171 (ASSUME :args (_let_20)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (ASSUME :args (_let_42)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (ASSUME :args (_let_44)))) (let ((_let_177 (SYMM 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(RESOLUTION (CNF_AND_NEG :args (_let_192)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_193 _let_171 _let_194) (SCOPE (FALSE_ELIM (TRANS (CONG _let_99 (TRANS (SYMM (SYMM _let_194)) (CONG _let_99 _let_173 :args _let_125)) :args (=)) (FALSE_INTRO _let_193))) :args (_let_189 _let_20 _let_185))) :args (_let_20 _let_189 _let_185))) :args (true _let_192)) (CONG _let_191 (MACRO_SR_PRED_INTRO :args ((= (not _let_189) _let_186))) (REFL :args ((not _let_185))) (REFL :args (_let_187)) :args _let_96)) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args _let_152) :args (_let_188))) _let_190 :args (_let_189 false _let_188)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.p__0 tptp.n1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_85)) _let_86 :args (_let_185 false _let_30)) :args (_let_187 false _let_20 true _let_186 false _let_185)))) (let ((_let_196 (or _let_182 _let_65))) (let ((_let_197 (or _let_182 _let_66))) (let ((_let_198 (not 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false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.n0 tptp.p__0 QUANTIFIERS_INST_ENUM)) :args _let_132)) _let_133 :args (_let_50 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_47 _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_129 _let_131) (SCOPE (TRANS (CONG _let_131 _let_126 :args _let_125) (CONG (TRANS (SYMM _let_131) (TRANS (CONG (SYMM _let_130) _let_76 :args _let_128) (SYMM _let_127))) _let_126 :args _let_125)) :args (_let_118 _let_36 _let_119))) :args (_let_36 _let_119 _let_118))) :args (true _let_124)) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args _let_83) :args (_let_122))) _let_123 :args (_let_119 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_121) :args (tptp.n0 tptp.n0 QUANTIFIERS_INST_ENUM)) :args _let_121)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) _let_79 :args (_let_120 false _let_13)) :args (_let_118 false _let_120)) :args (_let_113 false _let_36 false _let_119 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_112 _let_46 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_116))) _let_117 :args (_let_115 false _let_116)) :args (_let_47 false _let_113 false _let_115)) _let_111 _let_106 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.n0 tptp.n1 QUANTIFIERS_INST_ENUM)) :args _let_85)) _let_86 :args (_let_38 false _let_30)) _let_84 _let_80 _let_69 :args (false true _let_68 false _let_66 false _let_65 false _let_64 false _let_60 false _let_59 false _let_58 false _let_57 false _let_54 false _let_53 false _let_52 false _let_50 false _let_47 false _let_45 false _let_44 false _let_42 false _let_38 false _let_36 false _let_20 false _let_34)) :args (_let_33 _let_32 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.plus X1 X2) (tptp.plus X3 X2))) (= X1 X3))) _let_31 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.plus X1 (tptp.plus X2 X3)) (tptp.plus (tptp.plus X1 X2) X3))) _let_30 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.plus X1 X2) (tptp.plus X1 X3))) (= X2 X3))) (forall ((X1 $$unsorted)) (= (tptp.plus tptp.n0 X1) X1)) (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (= X1 (tptp.plus X2 X1))) (= X2 tptp.n0))) _let_29 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.plus X1 X2) X1)) (= X2 tptp.n0))) (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.plus X1 X2) X2)) (= X1 tptp.n0))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= X1 X2)) (= (tptp.plus X3 X1) (tptp.plus X3 X2)))) _let_28 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.times X1 X2) (tptp.times X2 X1))) (forall ((X1 $$unsorted)) (not (= (tptp.plus X1 tptp.n1) tptp.n0))) (forall ((X1 $$unsorted)) (= (tptp.times X1 tptp.n1) X1)) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.times X1 (tptp.times X2 X3)) (tptp.times (tptp.times X1 X2) X3))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.times (tptp.times X1 X2) X3) (tptp.times X1 (tptp.times X2 X3)))) _let_27 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.times X1 (tptp.plus X2 X3)) (tptp.plus (tptp.times X1 X2) (tptp.times X1 X3)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.plus (tptp.times X1 X2) (tptp.times X1 X3)) (tptp.times X1 (tptp.plus X3 X2)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.times (tptp.plus X1 X2) X3) (tptp.plus (tptp.times X1 X3) (tptp.times X2 X3)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.plus (tptp.times X1 X2) (tptp.times X3 X2)) (tptp.times (tptp.plus X1 X3) X2))) _let_26 _let_25 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (= tptp.n1 (tptp.times X1 X2))) (= X1 tptp.n1))) (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.n1 (tptp.times X2 X1))) (= X1 tptp.n1))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (tptp.less X1 X2)) (not (tptp.less X1 X3)) (not (tptp.less X2 X3)) (not (= (tptp.plus X1 (tptp.times X4 X3)) (tptp.plus X2 (tptp.times X5 X3)))))) _let_24 _let_23 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (= X1 X2) (tptp.less X1 X2) (tptp.less X2 X1))) (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.less tptp.n1 X1)) (not (= tptp.n1 (tptp.times X2 X1))))) (forall ((X6 $$unsorted) (X3 $$unsorted)) (or (not (tptp.less (tptp.plus X6 tptp.n1) X3)) (tptp.less X6 X3))) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted)) (let ((_let_1 (= X7 (tptp.plus X8 (tptp.times X9 tptp.p__0))))) (or (not _let_1) _let_1))) (forall ((X10 $$unsorted) (X1 $$unsorted) (X11 $$unsorted)) (let ((_let_1 (tptp.plus X10 tptp.n1))) (= (tptp.plus X10 (tptp.plus (tptp.plus (tptp.times X1 (tptp.plus X11 (tptp.plus tptp.n1 tptp.n1))) (tptp.times X11 _let_1)) tptp.n1)) (tptp.plus X1 (tptp.times (tptp.plus X1 _let_1) (tptp.plus X11 tptp.n1)))))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (not (tptp.element (tptp.plus X10 (tptp.plus X12 tptp.n1)) X13))) (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (let ((_let_1 (= X14 (tptp.plus X15 (tptp.times X16 (tptp.plus X17 tptp.n1)))))) (or (not _let_1) _let_1))) (forall ((X18 $$unsorted) (X19 $$unsorted)) (let ((_let_1 (= (tptp.plus X18 (tptp.plus X19 tptp.n1)) tptp.n1))) (or (not _let_1) _let_1))) (forall ((X10 $$unsorted) (X12 $$unsorted) (X1 $$unsorted) (X20 $$unsorted) (X11 $$unsorted)) (let ((_let_1 (= (tptp.plus X10 (tptp.plus X12 tptp.n1)) (tptp.plus X1 (tptp.times X20 (tptp.plus X11 tptp.n1)))))) (or (not _let_1) _let_1))) (forall ((X8 $$unsorted)) (let ((_let_1 (= X8 tptp.n0))) (or (not (tptp.less tptp.n0 tptp.p__0)) (not _let_1) _let_1))) (forall ((X7 $$unsorted)) (or (not (tptp.less tptp.n0 tptp.p__0)) (not (= (tptp.s_5 tptp.p__0 X7) tptp.n0)) (= X7 (tptp.plus tptp.n0 (tptp.times (tptp.s_6 tptp.p__0 X7) tptp.p__0))))) (forall ((X1 $$unsorted) (X13 $$unsorted)) (not (tptp.element X1 X13))) (forall ((X14 $$unsorted) (X21 $$unsorted)) (let ((_let_1 (= X14 (tptp.plus tptp.n0 (tptp.times X21 tptp.p__0))))) (or (not _let_1) _let_1))) (= tptp.n1 tptp.n1) (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X22 $$unsorted)) (let ((_let_1 (= X7 (tptp.plus X8 (tptp.times (tptp.plus X9 X22) tptp.p__0))))) (or (not (tptp.less tptp.n0 tptp.p__0)) (not _let_1) _let_1))) (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted) (X26 $$unsorted)) (let ((_let_1 (= X23 (tptp.plus X24 (tptp.times X25 (tptp.plus X26 tptp.n1)))))) (or (not _let_1) _let_1))) (forall ((X8 $$unsorted) (X9 $$unsorted) (X22 $$unsorted)) (or (not (tptp.less X8 tptp.n0)) (not (tptp.less tptp.n0 tptp.p__0)) (not (tptp.less X8 tptp.p__0)) (not (= (tptp.plus X8 (tptp.times X9 tptp.p__0)) (tptp.plus tptp.n0 (tptp.times X22 tptp.p__0)))))) (forall ((X27 $$unsorted)) (let ((_let_1 (= X27 tptp.n1))) (or (not _let_1) _let_1))) (forall ((X28 $$unsorted)) (let ((_let_1 (= X28 tptp.n1))) (or (not _let_1) _let_1))) (forall ((X24 $$unsorted)) (let ((_let_1 (= X24 tptp.n1))) (or (not _let_1) _let_1))) _let_22 (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 tptp.n1))) (or (not _let_1) _let_1))) (forall ((X28 $$unsorted) (X27 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (let ((_let_1 (= X28 (tptp.plus X27 (tptp.times X29 (tptp.plus X30 tptp.n1)))))) (or (not _let_1) _let_1))) (forall ((X15 $$unsorted) (X31 $$unsorted)) (let ((_let_1 (= X15 (tptp.plus tptp.n0 (tptp.times X31 tptp.p__0))))) (or (not _let_1) _let_1))) (forall ((X7 $$unsorted)) (or (not (tptp.less tptp.n0 tptp.p__0)) (= X7 (tptp.plus (tptp.s_5 tptp.p__0 X7) (tptp.times (tptp.s_6 tptp.p__0 X7) tptp.p__0))))) _let_17 (forall ((X8 $$unsorted) (X9 $$unsorted) (X22 $$unsorted)) (or (not (tptp.less tptp.n0 X8)) (not (tptp.less tptp.n0 tptp.p__0)) (not (tptp.less X8 tptp.p__0)) (not (= (tptp.plus X8 (tptp.times X9 tptp.p__0)) (tptp.plus tptp.n0 (tptp.times X22 tptp.p__0)))))) (forall ((X11 $$unsorted)) (not (= (tptp.plus tptp.n1 (tptp.plus X11 tptp.n1)) tptp.n1))) (forall ((X8 $$unsorted) (X9 $$unsorted) (X22 $$unsorted)) (let ((_let_1 (tptp.times X22 tptp.p__0))) (let ((_let_2 (tptp.times X9 tptp.p__0))) (or (not (tptp.less tptp.n0 tptp.p__0)) (= (tptp.plus (tptp.plus X8 _let_2) _let_1) (tptp.plus X8 (tptp.plus _let_2 _let_1))))))) (forall ((X10 $$unsorted) (X8 $$unsorted) (X9 $$unsorted)) (let ((_let_1 (= X10 (tptp.plus X8 (tptp.times X9 tptp.p__0))))) (or (not (tptp.less tptp.n0 tptp.p__0)) (not _let_1) _let_1))) (forall ((X23 $$unsorted)) (let ((_let_1 (= X23 tptp.n1))) (or (not _let_1) _let_1))) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 tptp.n1))) (or (not _let_1) _let_1))) (forall ((X8 $$unsorted)) (let ((_let_1 (tptp.less X8 tptp.p__0))) (or (not (tptp.less tptp.n0 tptp.p__0)) (not _let_1) _let_1))) (forall ((X32 $$unsorted)) (let ((_let_1 (= X32 tptp.n1))) (or (not _let_1) _let_1))) (forall ((X7 $$unsorted)) (or (not (tptp.less tptp.n0 tptp.p__0)) (tptp.less (tptp.s_5 tptp.p__0 X7) tptp.p__0))) (forall ((X8 $$unsorted)) (or (= X8 tptp.n0) (tptp.less X8 tptp.n0) (tptp.less tptp.n0 X8))) _let_16 _let_10 _let_12 (forall ((X33 $$unsorted)) (let ((_let_1 (= X33 tptp.p__0))) (or (not _let_1) _let_1))) (forall ((X33 $$unsorted)) (let ((_let_1 (= X33 tptp.n1))) (or (not _let_1) _let_1))) (forall ((X33 $$unsorted) (X34 $$unsorted)) (let ((_let_1 (= (tptp.times X33 X34) tptp.p__0))) (or (not _let_1) _let_1))) (forall ((X7 $$unsorted) (X35 $$unsorted) (X36 $$unsorted)) (or (not (= X7 tptp.p__0)) (not (= (tptp.times X35 X36) X7)) (= X35 tptp.n1) (= X35 X7))) _let_10 _let_1 (forall ((X10 $$unsorted) (X37 $$unsorted) (X7 $$unsorted)) (let ((_let_1 (= X10 (tptp.plus tptp.n0 (tptp.times X37 X7))))) (or (not _let_1) _let_1))) _let_7 (forall ((X10 $$unsorted)) (or (= X10 tptp.n1) (= X10 X10))) (forall ((X7 $$unsorted)) (let ((_let_1 (= X7 tptp.p__0))) (or (not _let_1) _let_1))) (forall ((X7 $$unsorted) (X10 $$unsorted)) (let ((_let_1 (= X10 tptp.n1))) (or (not (= X7 tptp.p__0)) (not _let_1) _let_1))) _let_6 (forall ((X10 $$unsorted)) (let ((_let_1 (= X10 tptp.n1))) (or (not _let_1) _let_1))) _let_5 (forall ((X10 $$unsorted)) (let ((_let_1 (= X10 tptp.n1))) (or (not _let_1) _let_1))) _let_4 _let_3 (forall ((X7 $$unsorted) (X12 $$unsorted)) (or (not (= X7 tptp.p__0)) (not (= tptp.n1 (tptp.times X12 X7))))) _let_2 (forall ((X10 $$unsorted) (X38 $$unsorted)) (let ((_let_1 (= X10 (tptp.plus tptp.n0 (tptp.times X38 tptp.p__0))))) (or (not _let_1) _let_1))) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.81/12.02 )
% 11.81/12.02 % SZS output end Proof for NUM420-1.000
% 11.81/12.02 % cvc5---1.0.5 exiting
% 11.81/12.02 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------