TSTP Solution File: GRP445-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP445-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 00:26:03 EDT 2023
% Result : Unsatisfiable 1.97s 2.16s
% Output : Proof 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP445-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:49:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.u2rIpotaqR/cvc5---1.0.5_30084.p...
% 0.20/0.48 ------- get file name : TPTP file name is GRP445-1
% 0.20/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30084.smt2...
% 0.20/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.97/2.16 % SZS status Unsatisfiable for GRP445-1
% 1.97/2.16 % SZS output start Proof for GRP445-1
% 1.97/2.16 (
% 1.97/2.16 (let ((_let_1 (tptp.inverse tptp.b1))) (let ((_let_2 (tptp.multiply _let_1 tptp.b1))) (let ((_let_3 (tptp.inverse tptp.a1))) (let ((_let_4 (tptp.multiply _let_3 tptp.a1))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.divide A A))) (= (tptp.divide A (tptp.divide (tptp.divide (tptp.divide _let_1 B) C) (tptp.divide (tptp.divide _let_1 A) C))) B))))) (let ((_let_10 (tptp.divide tptp.a1 tptp.a1))) (let ((_let_11 (tptp.divide _let_10 tptp.a1))) (let ((_let_12 (= _let_3 _let_11))) (let ((_let_13 (= _let_4 (tptp.divide _let_3 _let_11)))) (let ((_let_14 (tptp.divide (tptp.divide tptp.b1 tptp.b1) tptp.b1))) (let ((_let_15 (= _let_2 (tptp.divide _let_1 _let_14)))) (let ((_let_16 (= _let_1 _let_14))) (let ((_let_17 (= _let_1 (tptp.divide _let_10 tptp.b1)))) (let ((_let_18 (tptp.divide _let_11 tptp.a1))) (let ((_let_19 (= _let_3 (tptp.divide (tptp.divide _let_18 _let_18) tptp.a1)))) (let ((_let_20 (tptp.divide _let_11 tptp.b1))) (let ((_let_21 (tptp.divide _let_20 _let_20))) (let ((_let_22 (= _let_3 (tptp.divide _let_21 tptp.a1)))) (let ((_let_23 (tptp.divide (tptp.divide _let_21 _let_20) _let_11))) (let ((_let_24 (tptp.inverse _let_23))) (let ((_let_25 (tptp.divide _let_3 _let_3))) (let ((_let_26 (= (tptp.divide _let_25 _let_23) _let_24))) (let ((_let_27 (= _let_24 (tptp.divide (tptp.divide _let_1 _let_1) _let_23)))) (let ((_let_28 (tptp.divide _let_14 tptp.a1))) (let ((_let_29 (tptp.divide _let_11 _let_11))) (let ((_let_30 (tptp.divide _let_29 _let_29))) (let ((_let_31 (tptp.divide _let_30 _let_29))) (let ((_let_32 (tptp.divide _let_31 _let_28))) (let ((_let_33 (tptp.divide _let_32 _let_32))) (let ((_let_34 (= _let_29 (tptp.divide _let_29 _let_33)))) (let ((_let_35 (tptp.divide _let_14 _let_11))) (let ((_let_36 (tptp.divide _let_14 _let_14))) (let ((_let_37 (tptp.divide (tptp.divide (tptp.divide _let_30 _let_36) _let_35) (tptp.divide _let_31 _let_35)))) (let ((_let_38 (= _let_36 (tptp.divide _let_29 _let_37)))) (let ((_let_39 (tptp.divide (tptp.divide _let_25 _let_3) _let_23))) (let ((_let_40 (= _let_33 (tptp.divide _let_3 (tptp.divide (tptp.divide (tptp.divide _let_25 _let_33) _let_23) _let_39))))) (let ((_let_41 (= _let_37 (tptp.divide _let_3 (tptp.divide (tptp.divide (tptp.divide _let_25 _let_37) _let_23) _let_39))))) (let ((_let_42 (_let_7))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (_let_8))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((tptp.divide (tptp.divide C C) B) (tptp.multiply A B)))) (let ((_let_47 (tptp.divide B B))) (let ((_let_48 ((tptp.divide _let_47 A)))) (let ((_let_49 (_let_47 (tptp.inverse A)))) (let ((_let_50 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.divide A A))) (= B (tptp.divide A (tptp.divide (tptp.divide (tptp.divide _let_1 B) C) (tptp.divide (tptp.divide _let_1 A) C)))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 ((tptp.divide (tptp.divide (tptp.divide A A) B) C)))) (let ((_let_54 (and _let_12 _let_13 _let_15 _let_16 _let_17 _let_19 _let_22 _let_26 _let_27 _let_34 _let_38 _let_40 _let_41))) (let ((_let_55 (ASSUME :args (_let_15)))) (let ((_let_56 (APPLY_UF tptp.divide))) (let ((_let_57 (REFL :args (_let_14)))) (let ((_let_58 (ASSUME :args (_let_16)))) (let ((_let_59 (CONG (SYMM _let_58) _let_57 :args _let_56))) (let ((_let_60 (ASSUME :args (_let_38)))) (let ((_let_61 (REFL :args (_let_37)))) (let ((_let_62 (REFL :args (_let_11)))) (let ((_let_63 (ASSUME :args (_let_12)))) (let ((_let_64 (SYMM (SYMM _let_63)))) (let ((_let_65 (CONG _let_64 _let_62 :args _let_56))) (let ((_let_66 (ASSUME :args (_let_19)))) (let ((_let_67 (CONG (SYMM _let_66) _let_62 :args _let_56))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (REFL :args (_let_3)))) (let ((_let_70 (TRANS (CONG _let_69 _let_64 :args _let_56) _let_68))) (let ((_let_71 (TRANS _let_70 (TRANS _let_67 _let_65)))) (let ((_let_72 (CONG _let_71 _let_61 :args _let_56))) (let ((_let_73 (SYMM _let_70))) (let ((_let_74 (ASSUME :args (_let_34)))) (let ((_let_75 (CONG _let_71 (REFL :args (_let_33)) :args _let_56))) (let ((_let_76 (TRANS _let_75 (SYMM _let_74) (SYMM _let_65) _let_68))) (let ((_let_77 (TRANS _let_76 _let_73))) (let ((_let_78 (ASSUME :args (_let_41)))) (let ((_let_79 (REFL :args (_let_23)))) (let ((_let_80 (ASSUME :args (_let_17)))) (let ((_let_81 (CONG (SYMM _let_80) _let_57 :args _let_56))) (let ((_let_82 (ASSUME :args (_let_27)))) (let ((_let_83 (ASSUME :args (_let_26)))) (let ((_let_84 (ASSUME :args (_let_22)))) (let ((_let_85 (TRANS (CONG (SYMM _let_84) _let_62 :args _let_56) _let_68))) (let ((_let_86 (ASSUME :args (_let_40)))) (let ((_let_87 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_58 _let_60 _let_63 _let_66 _let_74 _let_78 _let_80 _let_82 _let_83 _let_84 _let_86 _let_87) (SCOPE (TRANS (SYMM (SYMM _let_87)) _let_65 _let_74 (SYMM _let_75) (CONG (SYMM _let_77) (TRANS (SYMM (SYMM _let_86)) (CONG _let_69 (CONG (TRANS (TRANS (CONG (TRANS _let_76 (SYMM _let_85)) _let_79 :args _let_56) (CONG (TRANS _let_85 _let_73) _let_79 :args _let_56)) (TRANS (SYMM (SYMM _let_83)) (SYMM (SYMM _let_82)) (CONG (TRANS (TRANS (CONG (REFL :args (_let_1)) _let_58 :args _let_56) (SYMM _let_81)) (TRANS _let_81 (SYMM _let_59) _let_60 (SYMM _let_72))) _let_79 :args _let_56))) (REFL :args (_let_39)) :args _let_56) :args _let_56) (SYMM _let_78)) :args _let_56) (CONG _let_77 _let_61 :args _let_56) _let_72 (SYMM _let_60) _let_59 (SYMM _let_55)) :args (_let_15 _let_16 _let_38 _let_12 _let_19 _let_34 _let_41 _let_17 _let_27 _let_26 _let_22 _let_40 _let_13))) :args (_let_12 _let_13 _let_15 _let_16 _let_17 _let_19 _let_22 _let_26 _let_27 _let_34 _let_38 _let_40 _let_41))) :args (true _let_54)) :args ((or _let_5 (not _let_12) (not _let_13) (not _let_15) (not _let_16) (not _let_17) (not _let_19) (not _let_22) (not _let_26) (not _let_27) (not _let_34) (not _let_38) (not _let_40) (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_3 _let_37 _let_23 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_41 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_3 _let_33 _let_23 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_40 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_29 _let_36 _let_35 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_38 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_29 _let_29 _let_28 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_34 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_23 _let_1 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_42)) _let_43 :args (_let_27 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_23 _let_3 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_42))) _let_43 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a1 _let_20 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_42)) _let_43 :args (_let_22 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a1 _let_18 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_42)) _let_43 :args (_let_19 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.b1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_42)) _let_43 :args (_let_17 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.b1 tptp.b1 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_42)) _let_43 :args (_let_16 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_1 tptp.b1 tptp.b1 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44)) _let_45 :args (_let_15 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_3 tptp.a1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44)) _let_45 :args (_let_13 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_43 :args (_let_12 false _let_7)) (ASSUME :args (_let_6)) :args (false false _let_41 false _let_40 false _let_38 false _let_34 false _let_27 false _let_26 false _let_22 false _let_19 false _let_17 false _let_16 false _let_15 false _let_13 false _let_12 true _let_5)) :args (_let_9 _let_8 _let_7 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.97/2.16 )
% 1.97/2.16 % SZS output end Proof for GRP445-1
% 1.97/2.16 % cvc5---1.0.5 exiting
% 1.97/2.17 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------