TSTP Solution File: GRP008-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Thu Aug 31 00:23:56 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 22:48:10 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3KRXXfBGYD/cvc5---1.0.5_20698.p...
% 0.20/0.51  ------- get file name : TPTP file name is GRP008-1
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20698.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.62  % SZS status Unsatisfiable for GRP008-1
% 0.20/0.62  % SZS output start Proof for GRP008-1
% 0.20/0.62  (
% 0.20/0.62  (let ((_let_1 (tptp.q tptp.identity))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.h A))) (let ((_let_2 (tptp.j A))) (or (not (tptp.product _let_2 A _let_1)) (not (tptp.product A _let_2 _let_1)) (tptp.q A))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.h A))) (let ((_let_2 (tptp.j A))) (or (tptp.product _let_2 A _let_1) (tptp.product A _let_2 _let_1) (tptp.q A))))))) (let ((_let_5 (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))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.product X tptp.identity X)))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.product tptp.identity X X)))) (let ((_let_12 (tptp.j tptp.identity))) (let ((_let_13 (tptp.multiply tptp.identity _let_12))) (let ((_let_14 (tptp.h tptp.identity))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (= _let_12 _let_14))) (let ((_let_17 (= _let_12 _let_13))) (let ((_let_18 (tptp.product tptp.identity _let_12 _let_13))) (let ((_let_19 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_20 (= tptp.identity _let_19))) (let ((_let_21 (tptp.product tptp.identity _let_12 _let_14))) (let ((_let_22 (not _let_15))) (let ((_let_23 (_let_7))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.identity _let_12 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args (_let_18 false _let_7)))) (let ((_let_26 (tptp.product tptp.identity tptp.identity tptp.identity))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.product tptp.identity tptp.identity _let_19))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_20))) (let ((_let_31 (_let_6))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((not (= (tptp.product X Y Z) false)) (not (= (tptp.product X Y W) false))))) (let ((_let_34 (_let_11))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_21))) (let ((_let_37 (tptp.product _let_12 tptp.identity _let_14))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_1))) (let ((_let_40 (tptp.inverse _let_12))) (let ((_let_41 (tptp.product _let_40 _let_12 tptp.identity))) (let ((_let_42 (tptp.product _let_12 _let_40 tptp.identity))) (let ((_let_43 (not _let_41))) (let ((_let_44 (not _let_42))) (let ((_let_45 (or _let_44 _let_43 _let_36 _let_37))) (let ((_let_46 (ASSUME :args (_let_2)))) (let ((_let_47 (_let_3))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (_let_9))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (_let_12 QUANTIFIERS_INST_ENUM))) (let ((_let_52 (_let_8))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_5))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_37 _let_36 _let_43 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_12 _let_40 tptp.identity _let_12 tptp.identity _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product U Z W) false)) (not (= (tptp.product Y Z V) false)) (not (= (tptp.product X V W) true))))) :args _let_54)) _let_55 :args (_let_45 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_51) :args _let_52)) _let_53 :args (_let_42 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_51) :args _let_49)) _let_50 :args (_let_41 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_1 _let_38 _let_36 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.q A) true))))) :args _let_47)) _let_48 :args (_let_39 false _let_3)) _let_46 :args (_let_36 false _let_45 false _let_42 false _let_41 true _let_37 false _let_39 true _let_1)))) (let ((_let_57 (or))) (let ((_let_58 (_let_22))) (let ((_let_59 (not _let_18))) (let ((_let_60 (ASSUME :args (_let_36)))) (let ((_let_61 (APPLY_UF tptp.product))) (let ((_let_62 (REFL :args (_let_12)))) (let ((_let_63 (ASSUME :args (_let_20)))) (let ((_let_64 (ASSUME :args (_let_15)))) (let ((_let_65 (ASSUME :args (_let_18)))) (let ((_let_66 (tptp.product _let_12 tptp.identity _let_12))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_38 _let_67 _let_16))) (let ((_let_69 (_let_10))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (or _let_37 _let_21 _let_1))) (let ((_let_72 (_let_4))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (tptp.product tptp.identity _let_12 _let_12))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_59 _let_75 _let_17))) (let ((_let_77 (and _let_22 _let_16))) (let ((_let_78 (_let_22 _let_16))) (let ((_let_79 (ASSUME :args _let_58))) (let ((_let_80 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_80) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_80)) (REFL :args (_let_13)) :args (=)) (FALSE_INTRO _let_79))) :args _let_78)) :args _let_78)) :args (true _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_59 _let_17 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_51) :args _let_34)) _let_35 :args (_let_74 false _let_11)) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.identity _let_12 _let_13 _let_12 QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_31))) _let_32 :args (_let_76 false _let_6)) :args (_let_17 false _let_74 false _let_18 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_38 _let_67 _let_16 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_1 _let_37 _let_21 (not _let_71)))) _let_46 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.q A) true))))) :args _let_72)) _let_73 :args (_let_71 false _let_4)) :args (_let_37 true _let_1 true _let_21 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args _let_51) :args _let_69)) _let_70 :args (_let_66 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_12 tptp.identity _let_14 _let_12 QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_31))) _let_32 :args (_let_68 false _let_6)) :args (_let_16 false _let_37 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_60 _let_63 _let_64 _let_65) :args (_let_36 _let_20 _let_18 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_65)) (CONG _let_63 _let_62 (SYMM _let_64) :args _let_61) (CONG (SYMM _let_63) _let_62 (REFL :args (_let_14)) :args _let_61) (FALSE_INTRO _let_60))) :args (_let_36 _let_20 _let_15 _let_18)) :args ((not (and _let_36 _let_20 _let_18 _let_15)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_21))) (REFL :args ((not _let_20))) (REFL :args (_let_59)) (REFL :args _let_58) :args _let_57)) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_27 _let_29 _let_20 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_34)) _let_35 :args (_let_26 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.identity tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.identity tptp.identity _let_19 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_31))) _let_32 :args (_let_30 false _let_6)) :args (_let_20 false _let_26 false _let_28 false _let_30)) _let_25 :args (_let_22 true _let_21 false _let_20 false _let_18)) :args (false false _let_17 false _let_16 true _let_15)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (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))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.q A)) (not (tptp.product A B C)) (tptp.product B A C))) _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.62  )
% 0.20/0.62  % SZS output end Proof for GRP008-1
% 0.20/0.62  % cvc5---1.0.5 exiting
% 0.20/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------