TSTP Solution File: RNG007-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 13:49:25 EDT 2023

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 01:45:08 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gZhrXa9GFm/cvc5---1.0.5_24529.p...
% 0.19/0.49  ------- get file name : TPTP file name is RNG007-4
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24529.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.55  % SZS status Unsatisfiable for RNG007-4
% 0.19/0.55  % SZS output start Proof for RNG007-4
% 0.19/0.55  (
% 0.19/0.55  (let ((_let_1 (tptp.add tptp.a tptp.a))) (let ((_let_2 (not (= _let_1 tptp.additive_identity)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.multiply X X) X)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)))) (let ((_let_10 (tptp.additive_inverse tptp.additive_identity))) (let ((_let_11 (= _let_10 tptp.additive_identity))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_16 (= tptp.additive_identity _let_10))) (let ((_let_17 (= tptp.additive_identity _let_1))) (let ((_let_18 (= tptp.additive_identity (tptp.add _let_10 tptp.additive_identity)))) (let ((_let_19 (tptp.additive_inverse tptp.a))) (let ((_let_20 (tptp.add _let_19 tptp.a))) (let ((_let_21 (= tptp.additive_identity _let_20))) (let ((_let_22 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_23 (= tptp.additive_identity _let_22))) (let ((_let_24 (tptp.add tptp.additive_identity tptp.a))) (let ((_let_25 (= tptp.a _let_24))) (let ((_let_26 (tptp.multiply tptp.additive_identity tptp.a))) (let ((_let_27 (tptp.multiply tptp.additive_identity _let_19))) (let ((_let_28 (= (tptp.multiply tptp.additive_identity _let_20) (tptp.add _let_27 _let_26)))) (let ((_let_29 (tptp.add tptp.a _let_19))) (let ((_let_30 (= _let_20 _let_29))) (let ((_let_31 (= (tptp.multiply tptp.additive_identity _let_24) (tptp.add _let_22 _let_26)))) (let ((_let_32 (tptp.multiply _let_19 tptp.a))) (let ((_let_33 (tptp.multiply tptp.a tptp.a))) (let ((_let_34 (tptp.add _let_33 _let_32))) (let ((_let_35 (= (tptp.multiply _let_29 tptp.a) _let_34))) (let ((_let_36 (tptp.additive_inverse _let_19))) (let ((_let_37 (= tptp.a _let_36))) (let ((_let_38 (= tptp.additive_identity _let_27))) (let ((_let_39 (= (tptp.multiply _let_34 tptp.a) (tptp.add (tptp.multiply _let_33 tptp.a) (tptp.multiply _let_32 tptp.a))))) (let ((_let_40 (= (tptp.multiply tptp.a _let_36) (tptp.additive_inverse (tptp.multiply tptp.a _let_19))))) (let ((_let_41 (tptp.multiply _let_19 _let_19))) (let ((_let_42 (= _let_41 (tptp.additive_inverse _let_32)))) (let ((_let_43 (tptp.additive_inverse _let_41))) (let ((_let_44 (= (tptp.multiply _let_19 _let_36) _let_43))) (let ((_let_45 (= _let_43 (tptp.multiply _let_36 _let_19)))) (let ((_let_46 (= tptp.a _let_33))) (let ((_let_47 (= _let_19 _let_41))) (let ((_let_48 (SYMM (ASSUME :args (_let_11))))) (let ((_let_49 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_13))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (_let_12))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_64 (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_6))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.multiply X (tptp.additive_inverse Y))))) (let ((_let_71 (_let_5))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (forall ((X $$unsorted)) (= X (tptp.multiply X X))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.multiply X X)))) (let ((_let_77 (and _let_16 _let_18 _let_21 _let_23 _let_25 _let_28 _let_30 _let_31 _let_35 _let_37 _let_38 _let_39 _let_40 _let_42 _let_44 _let_45 _let_46 _let_47))) (let ((_let_78 (APPLY_UF tptp.add))) (let ((_let_79 (ASSUME :args (_let_46)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (APPLY_UF tptp.multiply))) (let ((_let_82 (ASSUME :args (_let_37)))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (REFL :args (tptp.a)))) (let ((_let_85 (CONG _let_84 _let_83 :args _let_81))) (let ((_let_86 (ASSUME :args (_let_40)))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (APPLY_UF tptp.additive_inverse))) (let ((_let_89 (REFL :args (_let_19)))) (let ((_let_90 (ASSUME :args (_let_45)))) (let ((_let_91 (ASSUME :args (_let_44)))) (let ((_let_92 (SYMM (SYMM _let_91)))) (let ((_let_93 (CONG _let_89 _let_82 :args _let_81))) (let ((_let_94 (CONG (TRANS _let_93 _let_92 (SYMM (SYMM _let_90)) (CONG _let_83 _let_89 :args _let_81)) :args _let_88))) (let ((_let_95 (ASSUME :args (_let_42)))) (let ((_let_96 (SYMM (SYMM _let_95)))) (let ((_let_97 (ASSUME :args (_let_47)))) (let ((_let_98 (CONG (TRANS _let_96 _let_94 _let_87 _let_85 _let_80) :args _let_88))) (let ((_let_99 (ASSUME :args (_let_39)))) (let ((_let_100 (ASSUME :args (_let_35)))) (let ((_let_101 (ASSUME :args (_let_30)))) (let ((_let_102 (ASSUME :args (_let_21)))) (let ((_let_103 (SYMM (SYMM _let_102)))) (let ((_let_104 (ASSUME :args (_let_25)))) (let ((_let_105 (REFL :args (tptp.additive_identity)))) (let ((_let_106 (CONG _let_105 (SYMM _let_104) :args _let_81))) (let ((_let_107 (ASSUME :args (_let_31)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (ASSUME :args (_let_23)))) (let ((_let_110 (SYMM (SYMM _let_109)))) (let ((_let_111 (ASSUME :args (_let_38)))) (let ((_let_112 (CONG (TRANS (TRANS (SYMM _let_111) _let_48) (TRANS (SYMM _let_48) _let_110)) (REFL :args (_let_26)) :args _let_78))) (let ((_let_113 (ASSUME :args (_let_28)))) (let ((_let_114 (SYMM (SYMM _let_113)))) (let ((_let_115 (ASSUME :args (_let_18)))) (let ((_let_116 (CONG _let_48 _let_105 :args _let_78))) (let ((_let_117 (CONG _let_105 (TRANS _let_116 (SYMM _let_115) _let_103) :args _let_81))) (let ((_let_118 (CONG _let_105 (TRANS _let_115 (SYMM _let_116)) :args _let_81))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_82 _let_86 _let_90 _let_91 _let_95 _let_97 _let_99 _let_100 _let_101 _let_102 _let_104 _let_107 _let_109 _let_48 _let_111 _let_113 _let_115) (SCOPE (TRANS _let_110 _let_118 _let_117 _let_114 _let_112 _let_108 _let_106 (CONG (TRANS _let_110 _let_118 _let_117 _let_114 _let_112 _let_108 _let_106 (CONG (TRANS _let_103 (SYMM (SYMM _let_101))) _let_84 :args _let_81) (SYMM (SYMM _let_100))) _let_84 :args _let_81) (SYMM (SYMM _let_99)) (CONG (TRANS (CONG _let_80 _let_84 :args _let_81) _let_80) (TRANS (CONG (TRANS _let_93 _let_92 _let_98) _let_84 :args _let_81) _let_93 _let_92 _let_98 (SYMM (SYMM _let_97)) _let_96 _let_94 _let_87 _let_85 _let_80) :args _let_78)) :args (_let_46 _let_37 _let_40 _let_45 _let_44 _let_42 _let_47 _let_39 _let_35 _let_30 _let_21 _let_25 _let_31 _let_23 _let_16 _let_38 _let_28 _let_18))) :args (_let_16 _let_18 _let_21 _let_23 _let_25 _let_28 _let_30 _let_31 _let_35 _let_37 _let_38 _let_39 _let_40 _let_42 _let_44 _let_45 _let_46 _let_47))) :args (true _let_77)) :args ((or _let_17 (not _let_16) (not _let_18) (not _let_21) (not _let_23) (not _let_25) (not _let_28) (not _let_30) (not _let_31) (not _let_35) (not _let_37) (not _let_38) (not _let_39) (not _let_40) (not _let_42) (not _let_44) (not _let_45) (not _let_46) (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_47 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_46 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_19 _let_19 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.additive_inverse X) Y)))) :args _let_71))) _let_72 :args (_let_45 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_19 _let_19 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68)) _let_69 :args (_let_44 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_19 tptp.a QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68)) _let_69 :args (_let_42 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a _let_19 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68)) _let_69 :args (_let_40 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_33 _let_32 tptp.a QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_39 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity))))) :args (_let_66))) _let_67 :args (_let_38 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.additive_inverse (tptp.additive_inverse X))))) :args (_let_64))) _let_65 :args (_let_37 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a _let_19 tptp.a QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_61)) _let_62 :args (_let_35 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.additive_identity tptp.additive_identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_31 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_19 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.add X Y)))) :args _let_59)) _let_60 :args (_let_30 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.additive_identity _let_19 tptp.a QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_28 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.add tptp.additive_identity X)))) :args (_let_54))) _let_55 :args (_let_25 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args (_let_52))) _let_53 :args (_let_23 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_50 :args (_let_21 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args _let_51)) _let_50 :args (_let_18 false _let_49)) (SYMM (ASSUME :args (_let_2))) _let_48 :args (false false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_39 false _let_38 false _let_37 false _let_35 false _let_31 false _let_30 false _let_28 false _let_25 false _let_23 false _let_21 false _let_18 true _let_17 false _let_16)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_9 _let_8 _let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.additive_inverse (tptp.add X Y)) (tptp.add (tptp.additive_inverse X) (tptp.additive_inverse Y)))) _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.55  )
% 0.19/0.55  % SZS output end Proof for RNG007-4
% 0.19/0.56  % cvc5---1.0.5 exiting
% 0.19/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------