TSTP Solution File: RNG004-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG004-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 13:49:24 EDT 2023

% Result   : Unsatisfiable 62.28s 62.64s
% Output   : Proof 62.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : RNG004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n014.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 02:29:32 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6BSRrk0oom/cvc5---1.0.5_15042.p...
% 0.22/0.53  ------- get file name : TPTP file name is RNG004-3
% 0.22/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15042.smt2...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.28/10.55  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.35/15.57  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.17/20.59  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.41/25.70  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.48/30.73  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.53/35.75  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.55/40.79  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.82/46.04  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.84/51.08  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.85/56.09  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.90/61.13  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 62.28/62.64  % SZS status Unsatisfiable for RNG004-3
% 62.28/62.64  % SZS output start Proof for RNG004-3
% 62.28/62.65  (
% 62.28/62.65  (let ((_let_1 (tptp.equalish tptp.c tptp.d))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.additive_inverse tptp.b))) (let ((_let_4 (tptp.additive_inverse tptp.a))) (let ((_let_5 (tptp.product _let_4 _let_3 tptp.d))) (let ((_let_6 (tptp.product tptp.a tptp.b tptp.c))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.product X tptp.additive_identity tptp.additive_identity)))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.product tptp.additive_identity X tptp.additive_identity)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (tptp.equalish U V))))) (let ((_let_10 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)) (tptp.sum U Z W))))) (let ((_let_15 (forall ((X $$unsorted)) (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity)))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_17 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_18 (tptp.sum tptp.additive_identity tptp.c tptp.d))) (let ((_let_19 (tptp.sum tptp.d tptp.additive_identity tptp.d))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.multiply _let_4 tptp.b))) (let ((_let_22 (tptp.sum _let_21 tptp.c tptp.additive_identity))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.sum tptp.d _let_21 tptp.additive_identity))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_20 _let_18))) (let ((_let_27 (_let_14))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (not _let_26))) (let ((_let_30 (tptp.product tptp.additive_identity tptp.b tptp.additive_identity))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.sum _let_4 tptp.a tptp.additive_identity))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_6))) (let ((_let_35 (tptp.product _let_4 tptp.b _let_21))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_33 _let_31 _let_22))) (let ((_let_38 (_let_10))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_16))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_4 tptp.b QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_40)) _let_41 :args (_let_35 false _let_16)))) (let ((_let_43 (_let_8))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.b QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_46 (_let_15))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (ASSUME :args (_let_6)))) (let ((_let_49 (tptp.product _let_4 tptp.additive_identity tptp.additive_identity))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.sum _let_3 tptp.b tptp.additive_identity))) (let ((_let_52 (not _let_51))) (let ((_let_53 (not _let_5))) (let ((_let_54 (or _let_53 _let_36 _let_52 _let_50 _let_24))) (let ((_let_55 (_let_12))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (_let_7))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 ((not (= (tptp.product X tptp.additive_identity tptp.additive_identity) true))))) (let ((_let_60 (ASSUME :args (_let_5)))) (let ((_let_61 (tptp.sum _let_4 tptp.additive_identity _let_4))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.product tptp.additive_identity _let_3 tptp.additive_identity))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_53 _let_64 _let_62 _let_53 _let_19))) (let ((_let_66 (tptp.sum tptp.additive_identity _let_4 _let_4))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_61))) (let ((_let_69 (_let_13))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (_let_17))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (tptp.product tptp.a tptp.b tptp.d))) (let ((_let_74 (not _let_18))) (let ((_let_75 (tptp.sum tptp.additive_identity tptp.b tptp.b))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.product tptp.a tptp.additive_identity tptp.additive_identity))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_34 _let_76 _let_74 _let_73))) (let ((_let_80 (_let_11))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (not _let_73))) (let ((_let_83 (or _let_34 _let_82 _let_1))) (let ((_let_84 (_let_9))) (let ((_let_85 (ASSUME :args _let_84))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.d _let_21 tptp.additive_identity tptp.c tptp.additive_identity tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_18 _let_20 _let_25 _let_23 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_34 _let_73 _let_76 _let_78 _let_74 (not _let_79)))) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_1 _let_34 _let_82 (not _let_83)))) (ASSUME :args (_let_2)) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.a tptp.b tptp.c tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_83 false _let_9)) :args (_let_82 true _let_1 false _let_6 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args _let_45) :args _let_71)) _let_72 :args (_let_75 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_77 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a tptp.additive_identity tptp.additive_identity tptp.b tptp.c tptp.b tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_80)) _let_81 :args (_let_79 false _let_11)) :args (_let_74 false _let_6 true _let_73 false _let_75 false _let_77 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_65))) :args ((or _let_53 _let_62 _let_64 _let_19 (not _let_65)))) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_61 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_72 :args (_let_66 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.additive_identity _let_4 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum X Y Z) false))))) :args _let_69)) _let_70 :args (_let_68 false _let_13)) :args (_let_61 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product tptp.additive_identity X tptp.additive_identity) true))))) :args _let_43)) _let_44 :args (_let_63 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_4 _let_3 tptp.d tptp.additive_identity tptp.additive_identity _let_4 tptp.d QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38)) _let_39 :args (_let_65 false _let_10)) :args (_let_19 false _let_5 false _let_61 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 _let_50 _let_36 _let_24 (not _let_54)))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args _let_46)) _let_47 :args (_let_51 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_49 false _let_7)) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_4 _let_3 tptp.d tptp.b _let_21 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y V1) false)) (not (= (tptp.product X Z V2) false)) (not (= (tptp.product X V3 V4) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_12)) :args (_let_24 false _let_5 false _let_51 false _let_49 false _let_35 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_34 _let_33 _let_31 _let_36 _let_22 (not _let_37)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_32 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_45) :args _let_43)) _let_44 :args (_let_30 false _let_8)) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_4 tptp.b _let_21 tptp.a tptp.c tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38)) _let_39 :args (_let_37 false _let_10)) :args (_let_22 false _let_6 false _let_32 false _let_30 false _let_35 false _let_37)) :args (_let_29 true _let_18 false _let_19 false _let_24 false _let_22)) _let_28 :args (false true _let_26 false _let_14)) :args ((forall ((X $$unsorted)) (tptp.equalish X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.equalish Y Z)) (tptp.equalish X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish (tptp.additive_inverse X) (tptp.additive_inverse Y)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish (tptp.add X W) (tptp.add Y W)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.sum X W Z)) (tptp.sum Y W Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.sum W X Z)) (tptp.sum W Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.sum W Z X)) (tptp.sum W Z Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.equalish X Y)) (tptp.equalish (tptp.multiply X W) (tptp.multiply Y W)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.product X W Z)) (tptp.product Y W Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.product W X Z)) (tptp.product W Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (Z $$unsorted)) (or (not (tptp.equalish X Y)) (not (tptp.product W Z X)) (tptp.product W Z Y))) _let_17 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)) _let_16 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))) _let_15 (forall ((X $$unsorted)) (tptp.sum X (tptp.additive_inverse X) tptp.additive_identity)) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)) (tptp.sum X V W))) _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))) _let_12 _let_11 _let_10 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (tptp.equalish U V))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 62.28/62.65  )
% 62.28/62.65  % SZS output end Proof for RNG004-3
% 62.28/62.65  % cvc5---1.0.5 exiting
% 62.28/62.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------