TSTP Solution File: GRP451-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP451-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 00:26:04 EDT 2023
% Result : Unsatisfiable 0.20s 0.64s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP451-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.17/0.34 % Computer : n026.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 23:37:05 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Z5WFhWASY8/cvc5---1.0.5_28900.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP451-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28900.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.64 % SZS status Unsatisfiable for GRP451-1
% 0.20/0.64 % SZS output start Proof for GRP451-1
% 0.20/0.65 (
% 0.20/0.65 (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 (tptp.divide _let_1 (tptp.divide A (tptp.divide B (tptp.divide (tptp.divide _let_1 A) C)))) C) B))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.divide A A))) (= B (tptp.divide (tptp.divide _let_1 (tptp.divide A (tptp.divide B (tptp.divide (tptp.divide _let_1 A) C)))) C)))))) (let ((_let_11 (tptp.divide (tptp.divide tptp.b1 tptp.b1) tptp.a1))) (let ((_let_12 (tptp.divide tptp.a1 tptp.a1))) (let ((_let_13 (tptp.divide _let_12 tptp.a1))) (let ((_let_14 (tptp.divide _let_13 _let_11))) (let ((_let_15 (tptp.divide _let_1 _let_1))) (let ((_let_16 (= _let_15 (tptp.divide (tptp.divide _let_12 (tptp.divide tptp.a1 (tptp.divide _let_15 _let_14))) _let_11)))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.divide _let_3 _let_3))) (let ((_let_19 (tptp.inverse _let_18))) (let ((_let_20 (= _let_19 (tptp.divide _let_15 _let_18)))) (let ((_let_21 (tptp.divide _let_18 _let_18))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (tptp.divide _let_12 (tptp.divide tptp.a1 (tptp.divide _let_18 _let_14))))) (let ((_let_24 (= _let_18 (tptp.divide _let_23 _let_11)))) (let ((_let_25 (= _let_3 (tptp.divide _let_21 tptp.a1)))) (let ((_let_26 (tptp.divide _let_12 tptp.b1))) (let ((_let_27 (= _let_1 _let_26))) (let ((_let_28 (= _let_4 (tptp.divide _let_3 _let_11)))) (let ((_let_29 (= _let_2 (tptp.divide _let_1 _let_26)))) (let ((_let_30 (= _let_3 _let_11))) (let ((_let_31 (= _let_3 _let_13))) (let ((_let_32 (not _let_16))) (let ((_let_33 (_let_7))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.divide B B))) (let ((_let_36 ((tptp.inverse A) _let_35))) (let ((_let_37 (_let_10))) (let ((_let_38 ((tptp.divide B (tptp.divide (tptp.divide (tptp.divide A A) A) C))))) (let ((_let_39 (_let_8))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.multiply A B) (tptp.divide C C)))) (let ((_let_42 (ASSUME :args (_let_6)))) (let ((_let_43 (and _let_6 _let_31 _let_30 _let_29 _let_28 _let_27 _let_25 _let_24 _let_22 _let_20))) (let ((_let_44 (ASSUME :args (_let_29)))) (let ((_let_45 (APPLY_UF tptp.divide))) (let ((_let_46 (ASSUME :args (_let_27)))) (let ((_let_47 (ASSUME :args (_let_28)))) (let ((_let_48 (ASSUME :args (_let_30)))) (let ((_let_49 (SYMM (SYMM _let_48)))) (let ((_let_50 (CONG (REFL :args (_let_3)) _let_49 :args _let_45))) (let ((_let_51 (ASSUME :args (_let_24)))) (let ((_let_52 (ASSUME :args (_let_25)))) (let ((_let_53 (TRANS (SYMM _let_52) _let_49))) (let ((_let_54 (ASSUME :args (_let_31)))) (let ((_let_55 (TRANS _let_50 (CONG _let_54 (REFL :args (_let_11)) :args _let_45)))) (let ((_let_56 (ASSUME :args (_let_22)))) (let ((_let_57 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a1 _let_15 _let_11 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_56 _let_51 _let_47 _let_46 _let_44 _let_52 _let_48 _let_54 _let_42) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (CONG (REFL :args (_let_12)) (CONG (REFL :args (tptp.a1)) (TRANS (CONG (REFL :args (_let_15)) (SYMM _let_55) :args _let_45) (SYMM _let_57) (SYMM _let_56) (CONG (REFL :args (_let_18)) _let_55 :args _let_45)) :args _let_45) :args _let_45) (SYMM _let_53) :args _let_45) (CONG (REFL :args (_let_23)) _let_53 :args _let_45) (SYMM _let_51) _let_50 (SYMM _let_47)) (TRANS (CONG (REFL :args (_let_1)) (SYMM (SYMM _let_46)) :args _let_45) (SYMM _let_44)) :args (=)) (FALSE_INTRO _let_42)) :args ((= _let_16 false)))) :args (_let_20 _let_22 _let_24 _let_28 _let_27 _let_29 _let_25 _let_30 _let_31 _let_6))) :args (_let_6 _let_31 _let_30 _let_29 _let_28 _let_27 _let_25 _let_24 _let_22 _let_20))) :args (true _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_22))) (REFL :args ((not _let_20))) (REFL :args (_let_32)) :args (or))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_34 :args (_let_31 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a1 tptp.b1 QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_34 :args (_let_30 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 tptp.b1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_3 tptp.a1 tptp.b1 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.b1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_33)) _let_34 :args (_let_27 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a1 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_34 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a1 _let_18 _let_11 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_17 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_18 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.divide _let_35 A)))) :args _let_33))) _let_34 :args (_let_22 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_18 _let_1 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_33)) _let_34 :args (_let_20 false _let_7)) :args (_let_32 true _let_5 false _let_31 false _let_30 false _let_29 false _let_28 false _let_27 false _let_25 false _let_24 false _let_22 false _let_20)) _let_17 :args (false true _let_16 false _let_10)) :args (_let_9 _let_8 _let_7 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.65 )
% 0.20/0.65 % SZS output end Proof for GRP451-1
% 0.20/0.65 % cvc5---1.0.5 exiting
% 0.20/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------