0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : do_cvc5 %s %d 0.10/0.31 % Computer : n026.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 03:45:04 EDT 2022 0.10/0.31 % CPUTime : 0.16/0.43 %----Proving TF0_NAR, FOF, or CNF 3.13/3.36 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 3.13/3.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 3.13/3.36 % SZS status Theorem for theBenchmark 3.13/3.36 % SZS output start Proof for theBenchmark 3.13/3.36 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|'==>'| A (|'==>'| B C)) (|'==>'| (|'+'| A B) C))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|'+'| (|'+'| A B) C) (|'+'| A (|'+'| B C)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (|'+'| A (|'==>'| A B)) (|'+'| B (|'==>'| B A)))))) (let ((_let_4 (forall ((A $$unsorted)) (= |'0'| (|'==>'| A A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (|'+'| B A) (|'+'| A B))))) (let ((_let_6 (forall ((A $$unsorted)) (= A (|'==>'| |'0'| A))))) (let ((_let_7 (forall ((A $$unsorted)) (= (|'+'| A |'0'|) A)))) (let ((_let_8 (|'==>'| c a))) (let ((_let_9 (= |'0'| _let_8))) (let ((_let_10 (|'==>'| c b))) (let ((_let_11 (= |'0'| _let_10))) (let ((_let_12 (and _let_11 _let_9))) (let ((_let_13 (|'==>'| a b))) (let ((_let_14 (|'+'| a _let_13))) (let ((_let_15 (|'==>'| c _let_14))) (let ((_let_16 (= |'0'| _let_15))) (let ((_let_17 (not (= _let_16 _let_12)))) (let ((_let_18 (forall ((A $$unsorted)) (= (|'==>'| A |'0'|) |'0'|)))) (let ((_let_19 (|'==>'| _let_14 c))) (let ((_let_20 (|'+'| _let_14 _let_19))) (let ((_let_21 (|'+'| c _let_15))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (|'==>'| b a))) (let ((_let_24 (|'+'| b _let_23))) (let ((_let_25 (= _let_14 _let_24))) (let ((_let_26 (= c (|'+'| c |'0'|)))) (let ((_let_27 (|'+'| _let_23 b))) (let ((_let_28 (= _let_24 _let_27))) (let ((_let_29 (= _let_20 (|'+'| _let_19 _let_14)))) (let ((_let_30 (|'==>'| b c))) (let ((_let_31 (|'==>'| _let_23 _let_30))) (let ((_let_32 (= (|'==>'| _let_27 c) _let_31))) (let ((_let_33 (|'==>'| _let_30 _let_23))) (let ((_let_34 (|'+'| _let_30 _let_33))) (let ((_let_35 (= (|'+'| _let_23 _let_31) _let_34))) (let ((_let_36 (|'+'| _let_19 _let_23))) (let ((_let_37 (= (|'+'| _let_19 _let_27) (|'+'| _let_36 b)))) (let ((_let_38 (|'+'| _let_23 _let_19))) (let ((_let_39 (= _let_36 _let_38))) (let ((_let_40 (|'+'| _let_33 _let_30))) (let ((_let_41 (= _let_34 _let_40))) (let ((_let_42 (|'==>'| a a))) (let ((_let_43 (= |'0'| _let_42))) (let ((_let_44 (= |'0'| (|'==>'| _let_13 |'0'|)))) (let ((_let_45 (|'==>'| _let_23 _let_23))) (let ((_let_46 (|'==>'| _let_19 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(_let_29 false _let_63)))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|'==>'| (|'+'| A B) C) (|'==>'| A (|'==>'| B C)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 ((|'==>'| (|'+'| A B) C)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_23 b c QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_71)) _let_70 :args (_let_32 false _let_69)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_30 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_35 false _let_52)))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|'+'| A (|'+'| B C)) (|'+'| (|'+'| A B) C))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((|'+'| A (|'+'| B C))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_19 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_39 false _let_63)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_30 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_41 false _let_63)))) (let ((_let_81 (_let_4))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((not (= (|'==>'| A A) |'0'|))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_81)) _let_82 :args (_let_43 false _let_4)))) (let ((_let_85 (forall ((A $$unsorted)) (= |'0'| (|'==>'| A |'0'|))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 ((not (= 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_141 _let_435 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_437 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_13 _let_420 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_436 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (a _let_10 _let_423 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_77)) _let_76 :args (_let_433 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_422 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_432 false _let_63)) _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_94 _let_15 _let_10 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) _let_76 :args (_let_431 false _let_75)) _let_193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_420 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_429 false _let_58)) _let_192 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_428 false _let_58)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_13 a c QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_71))) _let_70 :args (_let_427 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_13 _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_426 false _let_52)) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_15 _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_424 false _let_63)) _let_190 _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (a _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_421 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_418 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_94 a b QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_71)) _let_70 :args (_let_417 false _let_69)) _let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (c _let_15 _let_10 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_77)) _let_76 :args (_let_415 false _let_75)) _let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_10 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_414 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_408 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_412 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_184)) _let_185 :args (_let_411 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_410 false _let_58)) _let_67 _let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (c _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_409 false _let_63)) _let_62 _let_57 _let_56 _let_181 _let_180 (CNF_AND_NEG :args (_let_12)) (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM2 _let_178) _let_407 :args (_let_179 false _let_16)) :args (_let_226 false _let_16 false _let_177 false _let_449 false _let_447 false _let_446 false _let_173 false _let_445 false _let_444 false _let_168 false _let_443 false _let_442 false _let_150 false _let_441 false _let_440 false _let_437 false _let_436 false _let_433 false _let_432 false _let_143 false _let_431 false _let_138 false _let_429 false _let_132 false _let_428 false _let_44 false _let_427 false _let_426 false _let_43 false _let_424 false _let_127 false _let_125 false _let_421 false _let_418 false _let_417 false _let_119 false _let_415 false _let_115 false _let_414 false _let_412 false _let_411 false _let_410 false _let_28 false _let_101 false _let_409 false _let_26 false _let_25 false _let_22 false _let_96 false _let_93 true _let_11 true _let_12)) _let_407 _let_91 _let_90 _let_89 _let_84 _let_80 _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_19 _let_23 b QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) _let_76 :args (_let_37 false _let_75)) _let_74 _let_73 _let_68 _let_67 _let_62 _let_57 _let_56 :args (false false _let_51 false _let_49 true _let_9 false _let_16 false _let_48 false _let_47 false _let_44 false _let_43 false _let_41 false _let_39 false _let_37 false _let_35 false _let_32 false _let_29 false _let_28 false _let_26 false _let_25 false _let_22)) :args (_let_18 _let_17 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3.13/3.38 % SZS output end Proof for theBenchmark 3.13/3.38 EOF