TSTP Solution File: GRP533-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP533-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 00:26:20 EDT 2023
% Result : Unsatisfiable 0.23s 0.53s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP533-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 00:37:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.insaM0Yh08/cvc5---1.0.5_31285.p...
% 0.23/0.51 ------- get file name : TPTP file name is GRP533-1
% 0.23/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31285.smt2...
% 0.23/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.53 % SZS status Unsatisfiable for GRP533-1
% 0.23/0.53 % SZS output start Proof for GRP533-1
% 0.23/0.54 (
% 0.23/0.54 (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_2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((A $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_7 (forall ((A $$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 $$unsorted)) (= (tptp.divide (tptp.divide A (tptp.divide (tptp.divide A B) C)) B) C)))) (let ((_let_10 (tptp.divide tptp.a1 tptp.a1))) (let ((_let_11 (tptp.divide _let_10 tptp.b1))) (let ((_let_12 (= tptp.identity (tptp.divide _let_11 _let_11)))) (let ((_let_13 (_let_6))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (= _let_1 _let_11))) (let ((_let_16 (= _let_2 (tptp.divide _let_1 _let_11)))) (let ((_let_17 (tptp.divide _let_10 tptp.a1))) (let ((_let_18 (tptp.divide tptp.a1 _let_17))) (let ((_let_19 (tptp.divide _let_18 tptp.a1))) (let ((_let_20 (tptp.divide _let_19 tptp.a1))) (let ((_let_21 (tptp.divide _let_18 _let_20))) (let ((_let_22 (tptp.divide tptp.a1 _let_21))) (let ((_let_23 (= (tptp.multiply _let_22 tptp.a1) (tptp.divide _let_22 (tptp.divide (tptp.divide _let_18 _let_18) tptp.a1))))) (let ((_let_24 (tptp.divide _let_22 _let_17))) (let ((_let_25 (= _let_17 (tptp.divide (tptp.divide tptp.a1 _let_24) _let_21)))) (let ((_let_26 (tptp.divide _let_21 tptp.a1))) (let ((_let_27 (= tptp.a1 (tptp.divide (tptp.divide _let_18 _let_26) _let_20)))) (let ((_let_28 (= _let_20 _let_24))) (let ((_let_29 (= tptp.a1 (tptp.divide (tptp.divide tptp.a1 _let_19) _let_17)))) (let ((_let_30 (tptp.divide _let_18 (tptp.divide _let_19 _let_17)))) (let ((_let_31 (= _let_17 (tptp.divide _let_30 tptp.a1)))) (let ((_let_32 (= tptp.a1 _let_26))) (let ((_let_33 (= tptp.identity _let_10))) (let ((_let_34 (= _let_3 _let_17))) (let ((_let_35 (= tptp.a1 _let_19))) (let ((_let_36 (not _let_12))) (let ((_let_37 (_let_7))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_8))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (tptp.divide C C))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide A (tptp.divide (tptp.divide A B) C)) B))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((tptp.divide (tptp.divide A B) C)))) (let ((_let_46 (ASSUME :args (_let_5)))) (let ((_let_47 (and _let_5 _let_35 _let_34 _let_33 _let_32 _let_31 _let_29 _let_28 _let_27 _let_25 _let_23 _let_16 _let_15))) (let ((_let_48 (ASSUME :args (_let_16)))) (let ((_let_49 (APPLY_UF tptp.divide))) (let ((_let_50 (ASSUME :args (_let_15)))) (let ((_let_51 (REFL :args (tptp.a1)))) (let ((_let_52 (ASSUME :args (_let_34)))) (let ((_let_53 (ASSUME :args (_let_25)))) (let ((_let_54 (ASSUME :args (_let_28)))) (let ((_let_55 (SYMM (SYMM _let_54)))) (let ((_let_56 (ASSUME :args (_let_35)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (ASSUME :args (_let_32)))) (let ((_let_59 (REFL :args (_let_18)))) (let ((_let_60 (ASSUME :args (_let_27)))) (let ((_let_61 (ASSUME :args (_let_23)))) (let ((_let_62 (ASSUME :args (_let_29)))) (let ((_let_63 (REFL :args (_let_17)))) (let ((_let_64 (TRANS (CONG (CONG _let_51 _let_56 :args _let_49) _let_63 :args _let_49) (SYMM _let_62)))) (let ((_let_65 (ASSUME :args (_let_31)))) (let ((_let_66 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide A A) tptp.identity))))) :args _let_13)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_53 _let_56 _let_58 _let_54 _let_60 _let_61 _let_62 _let_65 _let_66 _let_46 _let_48 _let_50) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_66)) (CONG _let_56 _let_51 :args _let_49) _let_55 (CONG (REFL :args (_let_22)) (TRANS (SYMM (SYMM _let_65)) (CONG (REFL :args (_let_30)) (SYMM _let_64) :args _let_49) (CONG (CONG _let_59 (CONG _let_57 _let_63 :args _let_49) :args _let_49) _let_64 :args _let_49)) :args _let_49) (SYMM _let_61) (CONG (TRANS (CONG (TRANS (SYMM (SYMM _let_60)) (CONG (TRANS (CONG _let_59 (SYMM _let_58) :args _let_49) _let_57) _let_55 :args _let_49)) (REFL :args (_let_21)) :args _let_49) (SYMM _let_53) (SYMM _let_52)) _let_51 :args (APPLY_UF tptp.multiply))) (TRANS (CONG (SYMM _let_50) (REFL :args (_let_11)) :args _let_49) (SYMM _let_48)) :args (=)) (FALSE_INTRO _let_46))) :args (_let_34 _let_25 _let_35 _let_32 _let_28 _let_27 _let_23 _let_29 _let_31 _let_33 _let_5 _let_16 _let_15))) :args (_let_5 _let_35 _let_34 _let_33 _let_32 _let_31 _let_29 _let_28 _let_27 _let_25 _let_23 _let_16 _let_15))) :args (true _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_25))) (REFL :args ((not _let_23))) (REFL :args ((not _let_16))) (REFL :args ((not _let_15))) (REFL :args (_let_36)) :args (or))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a1 tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_44)) _let_43 :args (_let_35 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_37)) _let_38 :args (_let_34 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_14 :args (_let_33 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_18 tptp.a1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_32 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_18 tptp.a1 _let_17 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_31 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a1 _let_17 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_29 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a1 _let_17 _let_20 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_28 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_18 _let_20 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_27 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a1 _let_21 _let_17 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_25 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_22 tptp.a1 _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.divide A (tptp.divide _let_41 B))))) :args _let_39)) _let_40 :args (_let_23 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 tptp.b1 tptp.a1 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply A B) _let_41))) :args _let_39)) _let_40 :args (_let_16 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.b1 tptp.a1 QUANTIFIERS_INST_E_MATCHING ((tptp.inverse A) (tptp.divide B B)))) :args _let_37)) _let_38 :args (_let_15 false _let_7)) :args (_let_36 true _let_4 false _let_35 false _let_34 false _let_33 false _let_32 false _let_31 false _let_29 false _let_28 false _let_27 false _let_25 false _let_23 false _let_16 false _let_15)) _let_14 :args (false true _let_12 false _let_6)) :args (_let_9 _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.54 )
% 0.23/0.54 % SZS output end Proof for GRP533-1
% 0.23/0.54 % cvc5---1.0.5 exiting
% 0.23/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------