0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : do_cvc5 %s %d 0.11/0.32 % Computer : n029.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 : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 05:07:24 EDT 2022 0.11/0.32 % CPUTime : 0.16/0.45 %----Proving TF0_NAR, FOF, or CNF 54.47/54.90 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 54.47/54.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 54.47/54.90 --- Run --no-e-matching --full-saturate-quant at 5... 54.47/54.90 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5... 54.47/54.90 --- Run --finite-model-find --uf-ss=no-minimal at 5... 54.47/54.90 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 54.47/54.90 --- Run --trigger-sel=max --full-saturate-quant at 5... 54.47/54.90 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5... 54.47/54.90 --- Run --multi-trigger-cache --full-saturate-quant at 5... 54.47/54.90 --- Run --prenex-quant=none --full-saturate-quant at 5... 54.47/54.90 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5... 54.47/54.90 % SZS status Theorem for theBenchmark 54.47/54.90 % SZS output start Proof for theBenchmark 54.47/54.90 (let ((_let_1 (forall ((A $$unsorted)) (|'>='| A |'0'|)))) (let ((_let_2 (forall ((X3 $$unsorted) (X4 $$unsorted)) (=> (and (|'>='| X3 X4) (|'>='| X4 X3)) (= X3 X4))))) (let ((_let_3 (forall ((A $$unsorted)) (= A (|'+'| A |'0'|))))) (let ((_let_4 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (=> (|'>='| X14 X15) (|'>='| (|'==>'| X16 X14) (|'==>'| X16 X15)))))) (let ((_let_5 (not (forall ((X17 $$unsorted)) (= (|'+'| X17 X17) X17))))) (let ((_let_6 (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (= (|'>='| X6 (|'==>'| X5 X7)) (|'>='| (|'+'| X5 X6) X7))))) (let ((_let_7 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (=> (|'>='| X11 X12) (|'>='| (|'==>'| X12 X13) (|'==>'| X11 X13)))))) (let ((_let_8 (forall ((A $$unsorted)) (= |'0'| (|'==>'| (|'==>'| (|'==>'| A |'1'|) A) A))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (|'+'| A B) (|'+'| B A))))) (let ((_let_10 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (|'>='| X8 X9) (|'>='| (|'+'| X8 X10) (|'+'| X9 X10)))))) (let ((_let_11 (forall ((A $$unsorted)) (= (|'+'| A |'1'|) |'1'|)))) (let ((_let_12 (forall ((A $$unsorted)) (|'>='| A A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|'+'| (|'+'| A B) C) (|'+'| A (|'+'| B C)))))) (let ((_let_14 (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (|'>='| X3 X4)) (not (|'>='| X4 X3)) (= X3 X4))))) (let ((_let_15 (|'+'| skv_2 skv_2))) (let ((_let_16 (= skv_2 _let_15))) (let ((_let_17 (|'>='| _let_15 skv_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (|'>='| skv_2 _let_15))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_16))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (|'+'| |'0'| skv_2))) (let ((_let_25 (|'>='| _let_15 _let_24))) (let ((_let_26 (|'+'| skv_2 |'0'|))) (let ((_let_27 (= skv_2 _let_26))) (let ((_let_28 (= _let_26 _let_24))) (let ((_let_29 (|'>='| skv_2 |'0'|))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_25))) (let ((_let_32 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (or (not (|'>='| X8 X9)) (|'>='| (|'+'| X8 X10) (|'+'| X9 X10)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_32))) (let ((_let_35 (_let_1))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 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(or _let_99 _let_97 _let_80))) (let ((_let_101 (_let_14))) (let ((_let_102 ((not (= (|'>='| X3 X4) false))))) (let ((_let_103 (|'+'| _let_78 _let_56))) (let ((_let_104 (|'>='| _let_103 _let_77))) (let ((_let_105 (= _let_96 _let_104))) (let ((_let_106 (|'>='| (|'+'| skv_2 _let_103) |'1'|))) (let ((_let_107 (= _let_104 _let_106))) (let ((_let_108 (|'+'| _let_15 _let_56))) (let ((_let_109 (|'>='| _let_108 |'1'|))) (let ((_let_110 (= _let_108 (|'+'| skv_2 _let_81)))) (let ((_let_111 (|'+'| _let_56 _let_15))) (let ((_let_112 (= _let_111 _let_108))) (let ((_let_113 (|'>='| _let_56 _let_56))) (let ((_let_114 (= _let_113 _let_109))) (let ((_let_115 (_let_12))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|'+'| A (|'+'| B C)) (|'+'| (|'+'| A B) C))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((|'+'| (|'+'| 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(_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 (|'>='| _let_91 (|'+'| _let_59 skv_2)))) (let ((_let_144 (|'>='| |'1'| _let_59))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_145 _let_143))) (let ((_let_147 (|'+'| |'1'| |'1'|))) (let ((_let_148 (|'>='| _let_147 |'1'|))) (let ((_let_149 (= _let_144 _let_148))) (let ((_let_150 (= |'1'| _let_147))) (let ((_let_151 (|'>='| |'1'| |'1'|))) (let ((_let_152 (forall ((A $$unsorted)) (= |'1'| (|'+'| A |'1'|))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (_let_152))) (let ((_let_155 (|'1'| QUANTIFIERS_INST_ENUM))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args _let_155) :args _let_154)) _let_153 :args (_let_150 false _let_152)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args _let_155) :args _let_115)) _let_116 :args (_let_151 false _let_12)))) (let ((_let_158 (not _let_151))) (let ((_let_159 (and _let_151 _let_150))) (let ((_let_160 (_let_151 _let_150))) (let ((_let_161 (ASSUME :args (_let_151)))) (let ((_let_162 (TRUE_INTRO _let_161))) (let ((_let_163 (REFL :args (|'1'|)))) (let ((_let_164 (ASSUME :args (_let_150)))) (let ((_let_165 (CONG (SYMM _let_164) _let_163 :args _let_47))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_149)) :args ((or _let_144 (not _let_148) (not _let_149)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_159)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_161 _let_164) (SCOPE (TRUE_ELIM (TRANS _let_165 _let_162)) :args _let_160)) :args _let_160)) :args (true _let_159)) :args ((or _let_158 _let_148 (not _let_150)))) _let_157 _let_156 :args (_let_148 false _let_151 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (|'1'| |'1'| |'1'| 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