TSTP Solution File: BOO004-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO004-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 20.90s 21.15s
% Output : Proof 20.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO004-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 09:04:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Ddny0w7Mew/cvc5---1.0.5_30652.p...
% 0.21/0.52 ------- get file name : TPTP file name is BOO004-10
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30652.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.31/10.56 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.33/15.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.33/20.60 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.90/21.15 % SZS status Unsatisfiable for BOO004-10
% 20.90/21.15 % SZS output start Proof for BOO004-10
% 20.90/21.16 (
% 20.90/21.16 (let ((_let_1 (tptp.sum tptp.x tptp.x tptp.x))) (let ((_let_2 (not (= _let_1 tptp.true)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.product (tptp.inverse X) X tptp.additive_identity) tptp.true)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.sum X (tptp.inverse X) tptp.multiplicative_identity) tptp.true)))) (let ((_let_5 (forall ((Y $$unsorted) (Z $$unsorted) (V3 $$unsorted) (X $$unsorted) (V4 $$unsorted) (V2 $$unsorted) (V1 $$unsorted)) (= (tptp.ifeq (tptp.product Y Z V3) tptp.true (tptp.ifeq (tptp.sum X V3 V4) tptp.true (tptp.ifeq (tptp.sum X Z V2) tptp.true (tptp.ifeq (tptp.sum X Y V1) tptp.true (tptp.product V1 V2 V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)))) (let ((_let_6 (forall ((X $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (Y $$unsorted) (V1 $$unsorted)) (= (tptp.ifeq (tptp.product X V3 V4) tptp.true (tptp.ifeq (tptp.product X Z V2) tptp.true (tptp.ifeq (tptp.product X Y V1) tptp.true (tptp.ifeq (tptp.sum Y Z V3) tptp.true (tptp.sum V1 V2 V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.product tptp.multiplicative_identity X X) tptp.true)))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.sum X tptp.additive_identity X) tptp.true)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.sum X Y (tptp.add X Y)) tptp.true)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_11 (= tptp.true _let_1))) (let ((_let_12 (tptp.add tptp.x tptp.x))) (let ((_let_13 (tptp.sum tptp.x tptp.x _let_12))) (let ((_let_14 (= tptp.true _let_13))) (let ((_let_15 (tptp.sum tptp.x tptp.additive_identity tptp.x))) (let ((_let_16 (= tptp.true _let_15))) (let ((_let_17 (tptp.product tptp.multiplicative_identity tptp.x tptp.x))) (let ((_let_18 (= tptp.true _let_17))) (let ((_let_19 (tptp.inverse tptp.x))) (let ((_let_20 (tptp.sum tptp.x _let_19 tptp.multiplicative_identity))) (let ((_let_21 (= tptp.true _let_20))) (let ((_let_22 (tptp.product _let_19 tptp.x tptp.additive_identity))) (let ((_let_23 (= tptp.true _let_22))) (let ((_let_24 (tptp.product tptp.multiplicative_identity _let_12 tptp.x))) (let ((_let_25 (tptp.ifeq _let_20 tptp.true _let_24 tptp.true))) (let ((_let_26 (tptp.ifeq _let_13 tptp.true _let_25 tptp.true))) (let ((_let_27 (tptp.ifeq _let_15 tptp.true _let_26 tptp.true))) (let ((_let_28 (= tptp.true (tptp.ifeq _let_22 tptp.true _let_27 tptp.true)))) (let ((_let_29 (= _let_27 (tptp.ifeq _let_22 _let_22 _let_27 tptp.true)))) (let ((_let_30 (= _let_24 (tptp.ifeq _let_20 _let_20 _let_24 tptp.true)))) (let ((_let_31 (= tptp.true (tptp.ifeq _let_24 tptp.true (tptp.ifeq _let_17 tptp.true (tptp.ifeq _let_17 tptp.true (tptp.ifeq _let_13 tptp.true _let_1 tptp.true) tptp.true) tptp.true) tptp.true)))) (let ((_let_32 (= _let_1 (tptp.ifeq _let_13 _let_13 _let_1 tptp.true)))) (let ((_let_33 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.true (tptp.sum X Y (tptp.add X Y)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (forall ((X $$unsorted)) (= tptp.true (tptp.sum X tptp.additive_identity X))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (tptp.x QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_38 (forall ((X $$unsorted)) (= tptp.true (tptp.product tptp.multiplicative_identity X X))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (forall ((X $$unsorted)) (= tptp.true (tptp.sum X (tptp.inverse X) tptp.multiplicative_identity))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (forall ((X $$unsorted)) (= tptp.true (tptp.product (tptp.inverse X) X tptp.additive_identity))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (forall ((Y $$unsorted) (Z $$unsorted) (V3 $$unsorted) (X $$unsorted) (V4 $$unsorted) (V2 $$unsorted) (V1 $$unsorted)) (= tptp.true (tptp.ifeq (tptp.product Y Z V3) tptp.true (tptp.ifeq (tptp.sum X V3 V4) tptp.true (tptp.ifeq (tptp.sum X Z V2) tptp.true (tptp.ifeq (tptp.sum X Y V1) tptp.true (tptp.product V1 V2 V4) tptp.true) tptp.true) tptp.true) tptp.true))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 (forall ((X $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (Y $$unsorted) (V1 $$unsorted)) (= tptp.true (tptp.ifeq (tptp.product X V3 V4) tptp.true (tptp.ifeq (tptp.product X Z V2) tptp.true (tptp.ifeq (tptp.product X Y V1) tptp.true (tptp.ifeq (tptp.sum Y Z V3) tptp.true (tptp.sum V1 V2 V4) tptp.true) tptp.true) tptp.true) tptp.true))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (and _let_14 _let_16 _let_18 _let_21 _let_23 _let_28 _let_29 _let_30 _let_31 _let_32))) (let ((_let_52 (ASSUME :args (_let_32)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (APPLY_UF tptp.ifeq))) (let ((_let_55 (REFL :args (tptp.true)))) (let ((_let_56 (ASSUME :args (_let_14)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (REFL :args (_let_13)))) (let ((_let_60 (CONG _let_59 _let_58 (REFL :args (_let_1)) _let_55 :args _let_54))) (let ((_let_61 (TRANS _let_60 _let_53))) (let ((_let_62 (SYMM _let_60))) (let ((_let_63 (ASSUME :args (_let_18)))) (let ((_let_64 (TRANS (SYMM _let_63) _let_58))) (let ((_let_65 (ASSUME :args (_let_28)))) (let ((_let_66 (ASSUME :args (_let_23)))) (let ((_let_67 (ASSUME :args (_let_29)))) (let ((_let_68 (ASSUME :args (_let_16)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (ASSUME :args (_let_21)))) (let ((_let_71 (SYMM _let_70))) (let ((_let_72 (CONG (REFL :args (_let_20)) _let_71 (REFL :args (_let_24)) _let_55 :args _let_54))) (let ((_let_73 (ASSUME :args (_let_30)))) (let ((_let_74 (SYMM (SYMM _let_73)))) (let ((_let_75 (TRANS _let_74 _let_72))) (let ((_let_76 (TRANS _let_71 _let_58))) (let ((_let_77 (TRANS _let_71 (SYMM _let_69)))) (let ((_let_78 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_56 _let_63 _let_65 _let_66 _let_67 _let_68 _let_70 _let_73 _let_78) (SCOPE (TRANS (SYMM (SYMM _let_78)) (CONG (TRANS (TRANS _let_74 (CONG _let_77 _let_77 (TRANS _let_75 (TRANS (SYMM _let_72) (CONG _let_76 _let_76 _let_75 _let_55 :args _let_54) (CONG _let_59 _let_57 (REFL :args (_let_25)) _let_55 :args _let_54))) _let_55 :args _let_54) (CONG (REFL :args (_let_15)) _let_69 (REFL :args (_let_26)) _let_55 :args _let_54) (SYMM (SYMM _let_67)) (CONG (REFL :args (_let_22)) (SYMM _let_66) (REFL :args (_let_27)) _let_55 :args _let_54) (SYMM _let_65)) _let_58) _let_58 (TRANS (TRANS (CONG _let_64 _let_58 (TRANS (TRANS (CONG _let_64 _let_58 _let_61 _let_55 :args _let_54) _let_62) _let_61) _let_55 :args _let_54) _let_62) _let_61) _let_55 :args _let_54) _let_53) :args (_let_32 _let_14 _let_18 _let_28 _let_23 _let_29 _let_16 _let_21 _let_30 _let_31))) :args (_let_14 _let_16 _let_18 _let_21 _let_23 _let_28 _let_29 _let_30 _let_31 _let_32))) :args (true _let_51)) :args ((or _let_11 (not _let_14) (not _let_16) (not _let_18) (not _let_21) (not _let_23) (not _let_28) (not _let_29) (not _let_30) (not _let_31) (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_13 _let_1 tptp.true QUANTIFIERS_INST_CBQI_PROP)) :args _let_48)) _let_47 :args (_let_32 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.multiplicative_identity _let_12 tptp.x tptp.x tptp.x tptp.x tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_49))) _let_50 :args (_let_31 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_20 _let_24 tptp.true QUANTIFIERS_INST_CBQI_PROP)) :args _let_48)) _let_47 :args (_let_30 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_22 _let_27 tptp.true QUANTIFIERS_INST_CBQI_PROP)) :args _let_48)) _let_47 :args (_let_29 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_19 tptp.x tptp.additive_identity tptp.x tptp.x _let_12 tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_44))) _let_45 :args (_let_28 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_37) :args (_let_42))) _let_43 :args (_let_23 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_37) :args (_let_40))) _let_41 :args (_let_21 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_37) :args (_let_38))) _let_39 :args (_let_18 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args _let_37) :args (_let_35))) _let_36 :args (_let_16 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.x tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_33))) _let_34 :args (_let_14 false _let_33)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_23 false _let_21 false _let_18 false _let_16 false _let_14 true _let_11)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)) _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.product X Y (tptp.multiply X Y)) tptp.true)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.ifeq (tptp.sum X Y Z) tptp.true (tptp.sum Y X Z) tptp.true) tptp.true)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.ifeq (tptp.product X Y Z) tptp.true (tptp.product Y X Z) tptp.true) tptp.true)) (forall ((X $$unsorted)) (= (tptp.sum tptp.additive_identity X X) tptp.true)) _let_8 _let_7 (forall ((X $$unsorted)) (= (tptp.product X tptp.multiplicative_identity X) tptp.true)) _let_6 (forall ((X $$unsorted) (Z $$unsorted) (V2 $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V4 $$unsorted) (V3 $$unsorted)) (= (tptp.ifeq (tptp.product X Z V2) tptp.true (tptp.ifeq (tptp.product X Y V1) tptp.true (tptp.ifeq (tptp.sum V1 V2 V4) tptp.true (tptp.ifeq (tptp.sum Y Z V3) tptp.true (tptp.product X V3 V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((V3 $$unsorted) (X $$unsorted) (V4 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (Y $$unsorted) (V1 $$unsorted)) (= (tptp.ifeq (tptp.product V3 X V4) tptp.true (tptp.ifeq (tptp.product Z X V2) tptp.true (tptp.ifeq (tptp.product Y X V1) tptp.true (tptp.ifeq (tptp.sum Y Z V3) tptp.true (tptp.sum V1 V2 V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((Z $$unsorted) (X $$unsorted) (V2 $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V4 $$unsorted) (V3 $$unsorted)) (= (tptp.ifeq (tptp.product Z X V2) tptp.true (tptp.ifeq (tptp.product Y X V1) tptp.true (tptp.ifeq (tptp.sum V1 V2 V4) tptp.true (tptp.ifeq (tptp.sum Y Z V3) tptp.true (tptp.product V3 X V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) _let_5 (forall ((V1 $$unsorted) (V2 $$unsorted) (V4 $$unsorted) (Y $$unsorted) (Z $$unsorted) (V3 $$unsorted) (X $$unsorted)) (= (tptp.ifeq (tptp.product V1 V2 V4) tptp.true (tptp.ifeq (tptp.product Y Z V3) tptp.true (tptp.ifeq (tptp.sum X Z V2) tptp.true (tptp.ifeq (tptp.sum X Y V1) tptp.true (tptp.sum X V3 V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((Y $$unsorted) (Z $$unsorted) (V3 $$unsorted) (X $$unsorted) (V4 $$unsorted) (V2 $$unsorted) (V1 $$unsorted)) (= (tptp.ifeq (tptp.product Y Z V3) tptp.true (tptp.ifeq (tptp.sum V3 X V4) tptp.true (tptp.ifeq (tptp.sum Z X V2) tptp.true (tptp.ifeq (tptp.sum Y X V1) tptp.true (tptp.product V1 V2 V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((V1 $$unsorted) (V2 $$unsorted) (V4 $$unsorted) (Y $$unsorted) (Z $$unsorted) (V3 $$unsorted) (X $$unsorted)) (= (tptp.ifeq (tptp.product V1 V2 V4) tptp.true (tptp.ifeq (tptp.product Y Z V3) tptp.true (tptp.ifeq (tptp.sum Z X V2) tptp.true (tptp.ifeq (tptp.sum Y X V1) tptp.true (tptp.sum V3 X V4) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((X $$unsorted)) (= (tptp.sum (tptp.inverse X) X tptp.multiplicative_identity) tptp.true)) _let_4 _let_3 (forall ((X $$unsorted)) (= (tptp.product X (tptp.inverse X) tptp.additive_identity) tptp.true)) (forall ((X $$unsorted) (Y $$unsorted) (V $$unsorted) (U $$unsorted)) (= (tptp.ifeq2 (tptp.sum X Y V) tptp.true (tptp.ifeq2 (tptp.sum X Y U) tptp.true U V) V) V)) (forall ((X $$unsorted) (Y $$unsorted) (V $$unsorted) (U $$unsorted)) (= (tptp.ifeq2 (tptp.product X Y V) tptp.true (tptp.ifeq2 (tptp.product X Y U) tptp.true U V) V) V)) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.90/21.16 )
% 20.90/21.16 % SZS output end Proof for BOO004-10
% 20.90/21.16 % cvc5---1.0.5 exiting
% 20.90/21.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------