%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG018-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 65.41s 65.68s
% Output   : Proof 65.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG018-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.36  % Computer : n025.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit   : 300
% 0.17/0.36  % WCLimit    : 300
% 0.17/0.36  % DateTime   : Sun Aug 27 02:29:53 EDT 2023
% 0.17/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.c9IXnOfTco/cvc5---1.0.5_32120.p...
% 0.21/0.51  ------- get file name : TPTP file name is RNG018-6
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32120.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.78  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.56/15.80  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.61/20.83  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.69/25.92  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.74/30.96  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.80/36.03  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.85/41.07  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.87/46.11  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.94/51.15  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.94/56.20  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.96/61.24  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.41/65.68  % SZS status Unsatisfiable for RNG018-6
% 65.41/65.68  % SZS output start Proof for RNG018-6
% 65.41/65.68  (
% 65.41/65.68  (let ((_let_1 (tptp.multiply tptp.y tptp.z))) (let ((_let_2 (tptp.additive_inverse _let_1))) (let ((_let_3 (tptp.multiply tptp.x tptp.z))) (let ((_let_4 (tptp.additive_inverse _let_3))) (let ((_let_5 (tptp.additive_inverse tptp.z))) (let ((_let_6 (tptp.add tptp.x tptp.y))) (let ((_let_7 (tptp.multiply _let_6 _let_5))) (let ((_let_8 (= _let_7 (tptp.add _let_4 _let_2)))) (let ((_let_9 (not _let_8))) (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 $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)))) (let ((_let_18 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_19 (tptp.add _let_3 _let_1))) (let ((_let_20 (tptp.multiply _let_6 tptp.z))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (tptp.additive_inverse _let_4))) (let ((_let_23 (= _let_3 _let_22))) (let ((_let_24 (tptp.add _let_22 _let_4))) (let ((_let_25 (= tptp.additive_identity _let_24))) (let ((_let_26 (tptp.add _let_1 _let_2))) (let ((_let_27 (= tptp.additive_identity _let_26))) (let ((_let_28 (= tptp.additive_identity (tptp.add _let_4 _let_22)))) (let ((_let_29 (tptp.add _let_5 tptp.z))) (let ((_let_30 (= (tptp.multiply _let_6 _let_29) (tptp.add _let_7 _let_20)))) (let ((_let_31 (= tptp.additive_identity (tptp.multiply _let_6 tptp.additive_identity)))) (let ((_let_32 (= _let_2 (tptp.add tptp.additive_identity _let_2)))) (let ((_let_33 (tptp.add _let_7 _let_3))) (let ((_let_34 (tptp.add _let_33 _let_1))) (let ((_let_35 (= (tptp.add _let_7 _let_19) _let_34))) (let ((_let_36 (tptp.add _let_3 _let_7))) (let ((_let_37 (= _let_33 _let_36))) (let ((_let_38 (= tptp.additive_identity _let_29))) (let ((_let_39 (= (tptp.add _let_4 _let_36) (tptp.add (tptp.add _let_4 _let_3) _let_7)))) (let ((_let_40 (= (tptp.add _let_7 _let_24) (tptp.add (tptp.add _let_7 _let_22) _let_4)))) (let ((_let_41 (= (tptp.add _let_33 _let_4) (tptp.add _let_4 _let_33)))) (let ((_let_42 (= _let_7 (tptp.add tptp.additive_identity _let_7)))) (let ((_let_43 (= (tptp.add _let_3 (tptp.add _let_7 _let_26)) (tptp.add _let_36 _let_26)))) (let ((_let_44 (= (tptp.add _let_33 _let_26) (tptp.add _let_34 _let_2)))) (let ((_let_45 (_let_12))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((tptp.additive_inverse X)))) (let ((_let_56 (_let_13))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 (_let_10))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (_let_11))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (and _let_21 _let_23 _let_25 _let_27 _let_28 _let_30 _let_31 _let_38 _let_32 _let_35 _let_37 _let_39 _let_40 _let_41 _let_42 _let_43 _let_44))) (let ((_let_68 (APPLY_UF tptp.add))) (let ((_let_69 (ASSUME :args (_let_32)))) (let ((_let_70 (ASSUME :args (_let_31)))) (let ((_let_71 (ASSUME :args (_let_38)))) (let ((_let_72 (ASSUME :args (_let_30)))) (let ((_let_73 (ASSUME :args (_let_21)))) (let ((_let_74 (REFL :args (_let_7)))) (let ((_let_75 (ASSUME :args (_let_35)))) (let ((_let_76 (ASSUME :args (_let_44)))) (let ((_let_77 (ASSUME :args (_let_27)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (ASSUME :args (_let_37)))) (let ((_let_81 (SYMM _let_80))) (let ((_let_82 (ASSUME :args (_let_43)))) (let ((_let_83 (ASSUME :args (_let_25)))) (let ((_let_84 (ASSUME :args (_let_40)))) (let ((_let_85 (REFL :args (_let_4)))) (let ((_let_86 (ASSUME :args (_let_23)))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (ASSUME :args (_let_41)))) (let ((_let_89 (ASSUME :args (_let_39)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (ASSUME :args (_let_28)))) (let ((_let_92 (CONG (TRANS (SYMM (SYMM _let_91)) (CONG _let_85 _let_87 :args _let_68)) _let_74 :args _let_68))) (let ((_let_93 (ASSUME :args (_let_42)))) (let ((_let_94 (SYMM (SYMM _let_93)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_67)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_70 _let_71 _let_72 _let_73 _let_75 _let_76 _let_77 _let_80 _let_82 _let_83 _let_84 _let_86 _let_88 _let_89 _let_91 _let_93) (SCOPE (TRANS _let_94 _let_92 _let_90 (CONG _let_85 (TRANS (CONG (REFL :args (_let_3)) (TRANS _let_94 _let_92 _let_90 (CONG _let_85 _let_81 :args _let_68) (SYMM _let_88) (CONG (CONG _let_74 (SYMM _let_87) :args _let_68) _let_85 :args _let_68) (SYMM _let_84) (CONG _let_74 (TRANS (SYMM _let_83) _let_79) :args _let_68)) :args _let_68) (SYMM (SYMM _let_82)) (CONG _let_81 _let_78 :args _let_68) (CONG (REFL :args (_let_33)) _let_79 :args _let_68) (SYMM (SYMM _let_76)) (CONG (TRANS (SYMM _let_75) (CONG _let_74 (SYMM _let_73) :args _let_68) (SYMM _let_72) (CONG (REFL :args (_let_6)) (SYMM _let_71) :args (APPLY_UF tptp.multiply)) (SYMM _let_70)) (REFL :args (_let_2)) :args _let_68) (SYMM _let_69)) :args _let_68)) :args (_let_32 _let_31 _let_38 _let_30 _let_21 _let_35 _let_44 _let_27 _let_37 _let_43 _let_25 _let_40 _let_23 _let_41 _let_39 _let_28 _let_42))) :args (_let_21 _let_23 _let_25 _let_27 _let_28 _let_30 _let_31 _let_38 _let_32 _let_35 _let_37 _let_39 _let_40 _let_41 _let_42 _let_43 _let_44))) :args (true _let_67)) :args ((or _let_8 (not _let_21) (not _let_23) (not _let_25) (not _let_27) (not _let_28) (not _let_30) (not _let_31) (not _let_32) (not _let_35) (not _let_37) (not _let_38) (not _let_39) (not _let_40) (not _let_41) (not _let_42) (not _let_43) (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_33 _let_1 _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_63)) _let_64 :args (_let_44 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_3 _let_7 _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_63)) _let_64 :args (_let_43 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) _let_61 :args (_let_42 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_33 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_65)) _let_66 :args (_let_41 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_7 _let_22 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_63)) _let_64 :args (_let_40 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_4 _let_3 _let_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_39 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.z QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_50 :args (_let_38 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_7 _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_65)) _let_66 :args (_let_37 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_7 _let_3 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_64 :args (_let_35 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_62)) _let_61 :args (_let_32 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_58))) _let_59 :args (_let_31 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_6 _let_5 tptp.z QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) :args _let_56)) _let_57 :args (_let_30 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_28 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_27 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args _let_51)) _let_50 :args (_let_25 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_47))) _let_48 :args (_let_23 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.x tptp.y tptp.z QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45)) _let_46 :args (_let_21 false _let_12)) (ASSUME :args (_let_9)) :args (false false _let_44 false _let_43 false _let_42 false _let_41 false _let_40 false _let_39 false _let_38 false _let_37 false _let_35 false _let_32 false _let_31 false _let_30 false _let_28 false _let_27 false _let_25 false _let_23 false _let_21 true _let_8)) :args (_let_18 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Y) (tptp.multiply X (tptp.multiply Y Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))) (forall ((X $$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)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) _let_9)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 65.41/65.68  )
% 65.41/65.69  % SZS output end Proof for RNG018-6
% 65.41/65.69  % cvc5---1.0.5 exiting
% 65.41/65.70  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------