TSTP Solution File: BOO004-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO004-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 : Wed Aug 30 18:06:12 EDT 2023
% Result : Unsatisfiable 0.18s 0.50s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Aug 27 08:41:16 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.46 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.IQuuHaT9a4/cvc5---1.0.5_8697.p...
% 0.18/0.47 ------- get file name : TPTP file name is BOO004-2
% 0.18/0.47 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8697.smt2...
% 0.18/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.50 % SZS status Unsatisfiable for BOO004-2
% 0.18/0.50 % SZS output start Proof for BOO004-2
% 0.18/0.51 (
% 0.18/0.51 (let ((_let_1 (tptp.add tptp.a tptp.a))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.multiply tptp.multiplicative_identity X) X)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.multiplicative_identity) X)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.additive_identity)))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.add (tptp.inverse X) X) tptp.multiplicative_identity)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.multiply Y Z)) (tptp.multiply (tptp.add X Y) (tptp.add X Z)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.multiply X Y) Z) (tptp.multiply (tptp.add X Z) (tptp.add Y Z)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_13 (tptp.multiply tptp.multiplicative_identity tptp.a))) (let ((_let_14 (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_15 (= (tptp.multiply _let_14 tptp.a) (tptp.add _let_13 _let_13)))) (let ((_let_16 (_let_9))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (= tptp.a _let_13))) (let ((_let_19 (tptp.inverse tptp.multiplicative_identity))) (let ((_let_20 (tptp.add _let_19 tptp.multiplicative_identity))) (let ((_let_21 (tptp.multiply _let_19 tptp.multiplicative_identity))) (let ((_let_22 (= (tptp.add _let_21 tptp.multiplicative_identity) (tptp.multiply _let_20 _let_14)))) (let ((_let_23 (tptp.add tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_24 (= tptp.multiplicative_identity _let_23))) (let ((_let_25 (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_26 (= tptp.multiplicative_identity _let_25))) (let ((_let_27 (= tptp.additive_identity _let_21))) (let ((_let_28 (= tptp.multiplicative_identity _let_20))) (let ((_let_29 (= (tptp.add _let_25 _let_25) (tptp.multiply tptp.multiplicative_identity _let_14)))) (let ((_let_30 (tptp.multiply _let_14 _let_14))) (let ((_let_31 (= _let_30 (tptp.add tptp.multiplicative_identity _let_25)))) (let ((_let_32 (= (tptp.add _let_25 tptp.multiplicative_identity) _let_30))) (let ((_let_33 (= _let_23 (tptp.add tptp.additive_identity tptp.multiplicative_identity)))) (let ((_let_34 (= tptp.a _let_1))) (let ((_let_35 (not _let_15))) (let ((_let_36 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.multiplicative_identity X))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_11))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_43 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (forall ((X $$unsorted)) (= tptp.multiplicative_identity (tptp.add (tptp.inverse X) X))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_8))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_52 (_let_10))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_12))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (SYMM (ASSUME :args (_let_2))))) (let ((_let_57 (not _let_34))) (let ((_let_58 (and _let_57 _let_33 _let_32 _let_31 _let_29 _let_28 _let_27 _let_26 _let_24 _let_22 _let_18))) (let ((_let_59 (APPLY_UF tptp.add))) (let ((_let_60 (ASSUME :args (_let_18)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (APPLY_UF tptp.multiply))) (let ((_let_63 (ASSUME :args (_let_24)))) (let ((_let_64 (ASSUME :args (_let_33)))) (let ((_let_65 (REFL :args (tptp.multiplicative_identity)))) (let ((_let_66 (ASSUME :args (_let_27)))) (let ((_let_67 (ASSUME :args (_let_22)))) (let ((_let_68 (ASSUME :args (_let_28)))) (let ((_let_69 (ASSUME :args (_let_29)))) (let ((_let_70 (ASSUME :args (_let_26)))) (let ((_let_71 (SYMM (SYMM _let_70)))) (let ((_let_72 (ASSUME :args (_let_32)))) (let ((_let_73 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.multiply X Z) (tptp.multiply Y Z))))) :args _let_16)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_63 _let_64 _let_66 _let_67 _let_68 _let_69 _let_70 _let_72 _let_73 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (CONG _let_65 _let_71 :args _let_59) (SYMM _let_73) (SYMM _let_72) (CONG (REFL :args (_let_25)) _let_71 :args _let_59) (SYMM (SYMM _let_69)) (CONG (SYMM (SYMM _let_68)) (REFL :args (_let_14)) :args _let_62) (SYMM _let_67) (CONG (SYMM _let_66) _let_65 :args _let_59) (SYMM _let_64) (SYMM _let_63)) (REFL :args (tptp.a)) :args _let_62) _let_61) (CONG _let_61 _let_61 :args _let_59) :args (=)) (FALSE_INTRO _let_56))) :args (_let_18 _let_24 _let_33 _let_27 _let_22 _let_28 _let_29 _let_26 _let_32 _let_31 _let_57))) :args (_let_57 _let_33 _let_32 _let_31 _let_29 _let_28 _let_27 _let_26 _let_24 _let_22 _let_18))) :args (true _let_58)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _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_26))) (REFL :args ((not _let_24))) (REFL :args ((not _let_22))) (REFL :args ((not _let_18))) (REFL :args (_let_35)) :args (or))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_33 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_51) :args _let_38)) _let_39 :args (_let_32 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_51) :args _let_52))) _let_53 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_51) :args _let_49))) _let_50 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_42) :args (_let_47))) _let_48 :args (_let_28 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_42) :args (_let_45))) _let_46 :args (_let_27 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_42) :args (_let_43))) _let_44 :args (_let_26 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_42) :args (_let_40))) _let_41 :args (_let_24 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_19 tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.multiply X Y) Z)))) :args _let_38)) _let_39 :args (_let_22 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args (_let_36))) _let_37 :args (_let_18 false _let_36)) :args (_let_35 true _let_34 false _let_33 false _let_32 false _let_31 false _let_29 false _let_28 false _let_27 false _let_26 false _let_24 false _let_22 false _let_18)) _let_17 :args (false true _let_15 false _let_9)) :args (_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.multiply Y X))) _let_11 _let_10 _let_9 _let_8 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)) _let_7 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)) _let_6 _let_5 _let_4 _let_3 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.51 )
% 0.18/0.51 % SZS output end Proof for BOO004-2
% 0.18/0.51 % cvc5---1.0.5 exiting
% 0.18/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------