%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG020-7 : TPTP v8.1.2. Released v1.0.0.
% 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 13:49:30 EDT 2023

% Result   : Unsatisfiable 0.22s 0.68s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : RNG020-7 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n011.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 01:45:24 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.729fxtBcok/cvc5---1.0.5_23787.p...
% 0.22/0.52  ------- get file name : TPTP file name is RNG020-7
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23787.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.68  % SZS status Unsatisfiable for RNG020-7
% 0.22/0.68  % SZS output start Proof for RNG020-7
% 0.22/0.69  (
% 0.22/0.69  (let ((_let_1 (tptp.associator tptp.x tptp.v tptp.y))) (let ((_let_2 (tptp.associator tptp.x tptp.u tptp.y))) (let ((_let_3 (tptp.add _let_2 _let_1))) (let ((_let_4 (tptp.add tptp.u tptp.v))) (let ((_let_5 (tptp.associator tptp.x _let_4 tptp.y))) (let ((_let_6 (= _let_5 _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (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 (tptp.add tptp.v tptp.u))) (let ((_let_15 (= _let_4 _let_14))) (let ((_let_16 (= _let_3 (tptp.add _let_1 _let_2)))) (let ((_let_17 (tptp.multiply tptp.u tptp.y))) (let ((_let_18 (tptp.additive_inverse (tptp.multiply tptp.x _let_17)))) (let ((_let_19 (tptp.multiply tptp.x tptp.u))) (let ((_let_20 (tptp.multiply _let_19 tptp.y))) (let ((_let_21 (tptp.add _let_20 _let_18))) (let ((_let_22 (= _let_2 _let_21))) (let ((_let_23 (tptp.multiply tptp.v tptp.y))) (let ((_let_24 (tptp.additive_inverse (tptp.multiply tptp.x _let_23)))) (let ((_let_25 (tptp.multiply tptp.x tptp.v))) (let ((_let_26 (tptp.multiply _let_25 tptp.y))) (let ((_let_27 (tptp.add _let_26 _let_24))) (let ((_let_28 (= _let_1 _let_27))) (let ((_let_29 (tptp.multiply _let_4 tptp.y))) (let ((_let_30 (tptp.additive_inverse (tptp.multiply tptp.x _let_29)))) (let ((_let_31 (tptp.multiply tptp.x _let_4))) (let ((_let_32 (tptp.multiply _let_31 tptp.y))) (let ((_let_33 (tptp.add _let_32 _let_30))) (let ((_let_34 (= _let_5 _let_33))) (let ((_let_35 (tptp.add _let_19 _let_25))) (let ((_let_36 (= _let_31 _let_35))) (let ((_let_37 (tptp.add _let_18 _let_20))) (let ((_let_38 (= _let_21 _let_37))) (let ((_let_39 (= _let_33 (tptp.add _let_30 _let_32)))) (let ((_let_40 (tptp.add _let_24 _let_2))) (let ((_let_41 (tptp.add _let_26 _let_40))) (let ((_let_42 (= _let_41 (tptp.add _let_27 _let_2)))) (let ((_let_43 (tptp.additive_inverse tptp.x))) (let ((_let_44 (tptp.multiply _let_43 _let_17))) (let ((_let_45 (= _let_18 _let_44))) (let ((_let_46 (tptp.multiply _let_43 _let_23))) (let ((_let_47 (= _let_24 _let_46))) (let ((_let_48 (= _let_30 (tptp.multiply _let_43 _let_29)))) (let ((_let_49 (tptp.add _let_23 _let_17))) (let ((_let_50 (= (tptp.multiply _let_14 tptp.y) _let_49))) (let ((_let_51 (tptp.add _let_20 _let_26))) (let ((_let_52 (= (tptp.multiply _let_35 tptp.y) _let_51))) (let ((_let_53 (= _let_41 (tptp.add _let_40 _let_26)))) (let ((_let_54 (= _let_40 (tptp.add _let_2 _let_24)))) (let ((_let_55 (tptp.add _let_24 _let_18))) (let ((_let_56 (tptp.add _let_55 _let_20))) (let ((_let_57 (= (tptp.add _let_24 _let_37) _let_56))) (let ((_let_58 (= (tptp.multiply _let_43 _let_49) (tptp.add _let_46 _let_44)))) (let ((_let_59 (= (tptp.add _let_55 _let_51) (tptp.add _let_56 _let_26)))) (let ((_let_60 (ASSUME :args (_let_7)))) (let ((_let_61 (_let_11))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 ((tptp.add X Y)))) (let ((_let_64 (_let_9))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((tptp.associator X Y Z)))) (let ((_let_67 (_let_13))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_70 (_let_10))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 ((tptp.add (tptp.add X Y) Z)))) (let ((_let_73 (_let_8))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((tptp.additive_inverse (tptp.multiply X Y))))) (let ((_let_76 (_let_12))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_79 (and _let_7 _let_15 _let_16 _let_22 _let_28 _let_34 _let_36 _let_38 _let_39 _let_42 _let_45 _let_47 _let_48 _let_50 _let_52 _let_53 _let_54 _let_57 _let_58))) (let ((_let_80 (ASSUME :args (_let_16)))) (let ((_let_81 (APPLY_UF tptp.add))) (let ((_let_82 (ASSUME :args (_let_28)))) (let ((_let_83 (ASSUME :args (_let_42)))) (let ((_let_84 (ASSUME :args (_let_53)))) (let ((_let_85 (REFL :args (_let_26)))) (let ((_let_86 (ASSUME :args (_let_54)))) (let ((_let_87 (ASSUME :args (_let_22)))) (let ((_let_88 (ASSUME :args (_let_38)))) (let ((_let_89 (ASSUME :args (_let_57)))) (let ((_let_90 (ASSUME :args (_let_34)))) (let ((_let_91 (ASSUME :args (_let_39)))) (let ((_let_92 (APPLY_UF tptp.multiply))) (let ((_let_93 (REFL :args (tptp.y)))) (let ((_let_94 (ASSUME :args (_let_36)))) (let ((_let_95 (ASSUME :args (_let_52)))) (let ((_let_96 (ASSUME :args (_let_48)))) (let ((_let_97 (ASSUME :args (_let_15)))) (let ((_let_98 (ASSUME :args (_let_50)))) (let ((_let_99 (ASSUME :args (_let_58)))) (let ((_let_100 (ASSUME :args (_let_45)))) (let ((_let_101 (ASSUME :args (_let_47)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_90 _let_91 _let_96 _let_97 _let_98 _let_99 _let_101 _let_100 _let_94 _let_95 _let_80 _let_82 _let_83 _let_84 _let_86 _let_87 _let_88 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (CONG (SYMM (SYMM _let_101)) (SYMM (SYMM _let_100)) :args _let_81) (SYMM _let_99) (CONG (REFL :args (_let_43)) (TRANS (SYMM _let_98) (CONG (SYMM _let_97) _let_93 :args _let_92)) :args _let_92) (SYMM _let_96)) (TRANS (SYMM _let_95) (CONG (SYMM _let_94) _let_93 :args _let_92)) :args _let_81) (SYMM _let_91) (SYMM _let_90)) (TRANS (CONG (TRANS (TRANS (SYMM _let_89) (CONG (REFL :args (_let_24)) (TRANS (SYMM _let_88) (SYMM _let_87)) :args _let_81)) _let_86) _let_85 :args _let_81) (CONG (SYMM _let_86) _let_85 :args _let_81) (SYMM _let_84) (SYMM (SYMM _let_83)) (CONG (SYMM _let_82) (REFL :args (_let_2)) :args _let_81) (SYMM _let_80)) :args (=)) (FALSE_INTRO _let_60))) :args (_let_7 _let_34 _let_39 _let_48 _let_15 _let_50 _let_58 _let_47 _let_45 _let_36 _let_52 _let_16 _let_28 _let_42 _let_53 _let_54 _let_22 _let_38 _let_57))) :args (_let_7 _let_15 _let_16 _let_22 _let_28 _let_34 _let_36 _let_38 _let_39 _let_42 _let_45 _let_47 _let_48 _let_50 _let_52 _let_53 _let_54 _let_57 _let_58))) :args (true _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) (REFL :args ((not _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_22))) (REFL :args ((not _let_28))) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_38))) (REFL :args ((not _let_39))) (REFL :args ((not _let_42))) (REFL :args ((not _let_45))) (REFL :args ((not _let_47))) (REFL :args ((not _let_48))) (REFL :args ((not _let_50))) (REFL :args ((not _let_52))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not _let_57))) (REFL :args ((not _let_58))) (REFL :args ((not _let_59))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_55 _let_20 _let_26 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_59 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_43 _let_23 _let_17 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67)) _let_68 :args (_let_58 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_24 _let_18 _let_20 QUANTIFIERS_INST_E_MATCHING ((tptp.add X (tptp.add Y Z))))) :args _let_70)) _let_71 :args (_let_57 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_24 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_54 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_26 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_53 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_19 _let_25 tptp.y QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76)) _let_77 :args (_let_52 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.v tptp.u tptp.y QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76)) _let_77 :args (_let_50 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.x _let_29 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73))) _let_74 :args (_let_48 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.x _let_23 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73))) _let_74 :args (_let_47 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.x _let_17 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73))) _let_74 :args (_let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_26 _let_24 _let_2 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_42 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_32 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_39 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_20 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_38 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.x tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67)) _let_68 :args (_let_36 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.x _let_4 tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_34 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.x tptp.v tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_28 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.x tptp.u tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_22 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_16 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_61)) _let_62 :args (_let_15 false _let_11)) _let_60 :args (false false _let_59 false _let_58 false _let_57 false _let_54 false _let_53 false _let_52 false _let_50 false _let_48 false _let_47 false _let_45 false _let_42 false _let_39 false _let_38 false _let_36 false _let_34 false _let_28 false _let_22 false _let_16 false _let_15 true _let_6)) :args ((forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) _let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Y) (tptp.multiply X (tptp.multiply Y Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))) _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.additive_inverse Y)) (tptp.multiply X Y))) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y (tptp.additive_inverse Z))) (tptp.add (tptp.multiply X Y) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X (tptp.additive_inverse Y)) Z) (tptp.add (tptp.multiply X Z) (tptp.additive_inverse (tptp.multiply Y Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.add Y Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Y)) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) (tptp.additive_inverse Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Z)) (tptp.additive_inverse (tptp.multiply Y Z))))) _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.69  )
% 0.22/0.69  % SZS output end Proof for RNG020-7
% 0.22/0.69  % cvc5---1.0.5 exiting
% 0.22/0.70  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------