TSTP Solution File: GRP550-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 00:26:24 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 23:08:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.4zbd4KNv8v/cvc5---1.0.5_25804.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP550-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25804.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for GRP550-1
% 0.20/0.52 % SZS output start Proof for GRP550-1
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (tptp.inverse tptp.b2))) (let ((_let_2 (tptp.multiply _let_1 tptp.b2))) (let ((_let_3 (tptp.multiply _let_2 tptp.a2))) (let ((_let_4 (not (= _let_3 tptp.a2)))) (let ((_let_5 (forall ((A $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.divide tptp.identity A))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide tptp.identity B)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide (tptp.divide tptp.identity A) (tptp.divide (tptp.divide (tptp.divide B A) C) B)) C)))) (let ((_let_9 (= tptp.a2 _let_3))) (let ((_let_10 (tptp.divide tptp.identity tptp.b2))) (let ((_let_11 (tptp.divide _let_1 _let_10))) (let ((_let_12 (= _let_2 _let_11))) (let ((_let_13 (tptp.divide tptp.identity tptp.a2))) (let ((_let_14 (tptp.divide _let_2 _let_13))) (let ((_let_15 (= _let_3 _let_14))) (let ((_let_16 (= _let_1 _let_10))) (let ((_let_17 (tptp.divide _let_10 _let_10))) (let ((_let_18 (tptp.divide _let_17 tptp.identity))) (let ((_let_19 (= _let_10 (tptp.divide _let_10 _let_18)))) (let ((_let_20 (tptp.divide (tptp.divide _let_11 _let_13) _let_1))) (let ((_let_21 (tptp.divide tptp.identity _let_10))) (let ((_let_22 (tptp.divide _let_21 _let_20))) (let ((_let_23 (= _let_13 _let_22))) (let ((_let_24 (= tptp.identity _let_17))) (let ((_let_25 (tptp.divide (tptp.divide _let_14 _let_1) _let_2))) (let ((_let_26 (tptp.divide tptp.identity _let_13))) (let ((_let_27 (= _let_1 (tptp.divide _let_26 _let_25)))) (let ((_let_28 (tptp.divide _let_22 tptp.identity))) (let ((_let_29 (tptp.divide _let_21 _let_28))) (let ((_let_30 (= _let_20 _let_29))) (let ((_let_31 (tptp.divide tptp.identity tptp.identity))) (let ((_let_32 (= tptp.identity _let_31))) (let ((_let_33 (= tptp.a2 (tptp.divide _let_31 (tptp.divide (tptp.divide _let_18 tptp.a2) _let_17))))) (let ((_let_34 (= _let_25 (tptp.divide _let_26 (tptp.divide (tptp.divide _let_14 _let_25) _let_2))))) (let ((_let_35 (= _let_28 (tptp.divide _let_21 (tptp.divide _let_29 tptp.identity))))) (let ((_let_36 (_let_7))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((tptp.multiply A B)))) (let ((_let_39 (_let_6))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide tptp.identity A) (tptp.divide (tptp.divide (tptp.divide B A) C) B)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.divide (tptp.divide B A) C)))) (let ((_let_45 (_let_5))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.divide A A) tptp.identity))))) (let ((_let_48 (and _let_12 _let_15 _let_16 _let_19 _let_23 _let_24 _let_27 _let_30 _let_32 _let_33 _let_34 _let_35))) (let ((_let_49 (ASSUME :args (_let_15)))) (let ((_let_50 (APPLY_UF tptp.divide))) (let ((_let_51 (REFL :args (_let_13)))) (let ((_let_52 (ASSUME :args (_let_12)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (CONG _let_53 _let_51 :args _let_50))) (let ((_let_55 (ASSUME :args (_let_23)))) (let ((_let_56 (SYMM _let_54))) (let ((_let_57 (CONG _let_56 (REFL :args (_let_1)) :args _let_50))) (let ((_let_58 (ASSUME :args (_let_16)))) (let ((_let_59 (ASSUME :args (_let_19)))) (let ((_let_60 (ASSUME :args (_let_24)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (CONG _let_62 (REFL :args (tptp.identity)) :args _let_50))) (let ((_let_64 (REFL :args (_let_10)))) (let ((_let_65 (ASSUME :args (_let_32)))) (let ((_let_66 (SYMM _let_65))) (let ((_let_67 (CONG _let_58 _let_64 :args _let_50))) (let ((_let_68 (TRANS _let_52 _let_67 _let_61 (SYMM _let_66)))) (let ((_let_69 (ASSUME :args (_let_27)))) (let ((_let_70 (SYMM _let_67))) (let ((_let_71 (TRANS _let_62 _let_70 _let_53))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (TRANS _let_53 _let_72))) (let ((_let_74 (TRANS _let_56 (CONG _let_73 _let_51 :args _let_50)))) (let ((_let_75 (ASSUME :args (_let_34)))) (let ((_let_76 (ASSUME :args (_let_30)))) (let ((_let_77 (ASSUME :args (_let_35)))) (let ((_let_78 (REFL :args (tptp.a2)))) (let ((_let_79 (CONG _let_73 _let_78 :args _let_50))) (let ((_let_80 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_52 _let_58 _let_60 _let_65 _let_55 _let_59 _let_69 _let_75 _let_76 _let_77 _let_80) (SCOPE (TRANS (SYMM (SYMM _let_80)) (CONG (TRANS (SYMM _let_68) _let_52) (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS (SYMM _let_63) _let_66 _let_62 _let_70 _let_53) _let_72) _let_78 :args _let_50) (SYMM _let_79)) (TRANS _let_79 _let_55)) _let_61 :args _let_50) (SYMM (SYMM _let_77)) (CONG (REFL :args (_let_21)) (TRANS (CONG (SYMM _let_76) _let_71 :args _let_50) (CONG (SYMM _let_57) (REFL :args (_let_2)) :args _let_50) (SYMM (SYMM _let_75)) (CONG (SYMM _let_74) (TRANS (CONG (TRANS (TRANS (CONG _let_74 (REFL :args (_let_25)) :args _let_50) (SYMM _let_69)) _let_58) _let_68 :args _let_50) (CONG _let_64 _let_63 :args _let_50) (SYMM _let_59) (SYMM _let_58)) :args _let_50) _let_57) :args _let_50) (SYMM _let_55)) :args _let_50) _let_54 (SYMM _let_49)) :args (_let_15 _let_12 _let_16 _let_24 _let_32 _let_23 _let_19 _let_27 _let_34 _let_30 _let_35 _let_33))) :args (_let_12 _let_15 _let_16 _let_19 _let_23 _let_24 _let_27 _let_30 _let_32 _let_33 _let_34 _let_35))) :args (true _let_48)) :args ((or _let_9 (not _let_12) (not _let_15) (not _let_16) (not _let_19) (not _let_23) (not _let_24) (not _let_27) (not _let_30) (not _let_32) (not _let_33) (not _let_34) (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_10 tptp.identity _let_28 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_35 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_13 _let_2 _let_25 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_34 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.identity _let_17 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_33 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_32 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_10 tptp.identity _let_20 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_30 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_13 _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_27 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_24 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_10 _let_1 _let_13 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_23 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.b2 tptp.identity _let_10 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_43)) _let_42 :args (_let_19 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.b2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse A)))) :args _let_39)) _let_40 :args (_let_16 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_2 tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_15 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_1 tptp.b2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_12 false _let_7)) (SYMM (ASSUME :args (_let_4))) :args (false false _let_35 false _let_34 false _let_33 false _let_32 false _let_30 false _let_27 false _let_24 false _let_23 false _let_19 false _let_16 false _let_15 false _let_12 true _let_9)) :args (_let_8 _let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for GRP550-1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------