TSTP Solution File: KRS013-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 05:41:08 EDT 2023

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n013.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Mon Aug 28 02:04:32 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.AFC8FXHt6S/cvc5---1.0.5_29791.p...
% 0.20/0.50  ------- get file name : TPTP file name is KRS013-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29791.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54  % SZS status Unsatisfiable for KRS013-1
% 0.20/0.54  % SZS output start Proof for KRS013-1
% 0.20/0.55  (
% 0.20/0.55  (let ((_let_1 (forall ((X1 $$unsorted)) (or (tptp.s1most X1) (tptp.s X1 (tptp.u7r2 X1)))))) (let ((_let_2 (forall ((X1 $$unsorted)) (or (tptp.s1most X1) (tptp.s X1 (tptp.u7r1 X1)))))) (let ((_let_3 (forall ((X1 $$unsorted)) (or (tptp.s1most X1) (not (tptp.equalish (tptp.u7r2 X1) (tptp.u7r1 X1))))))) (let ((_let_4 (forall ((X1 $$unsorted)) (or (tptp.f X1) (tptp.r X1 (tptp.u6r1 X1)))))) (let ((_let_5 (forall ((X1 $$unsorted)) (or (tptp.f X1) (not (tptp.s1most (tptp.u6r1 X1))))))) (let ((_let_6 (forall ((X1 $$unsorted) (X3 $$unsorted) (X2 $$unsorted)) (or (tptp.s2least X1) (tptp.equalish X3 X2) (not (tptp.s X1 X3)) (not (tptp.s X1 X2)))))) (let ((_let_7 (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (tptp.c X2) (not (tptp.e X1)) (not (tptp.r X1 X2)) (not (tptp.s2least X2)))))) (let ((_let_8 (forall ((X3 $$unsorted) (X1 $$unsorted)) (or (tptp.d X3) (not (tptp.e X1)) (not (tptp.r X1 X3)))))) (let ((_let_9 (forall ((X3 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (tptp.equalish X3 X2) (not (tptp.t1most X1)) (not (tptp.t X1 X3)) (not (tptp.t X1 X2)))))) (let ((_let_10 (forall ((X1 $$unsorted)) (or (tptp.t1most X1) (not (tptp.d X1)))))) (let ((_let_11 (forall ((X1 $$unsorted)) (or (tptp.t X1 (tptp.u1r2 X1)) (not (tptp.t2least X1)))))) (let ((_let_12 (forall ((X1 $$unsorted)) (or (tptp.t X1 (tptp.u1r1 X1)) (not (tptp.t2least X1)))))) (let ((_let_13 (forall ((X1 $$unsorted)) (or (not (tptp.t2least X1)) (not (tptp.equalish (tptp.u1r2 X1) (tptp.u1r1 X1))))))) (let ((_let_14 (forall ((X1 $$unsorted)) (or (tptp.t2least X1) (not (tptp.c X1)))))) (let ((_let_15 (tptp.f tptp.exist))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.e tptp.exist))) (let ((_let_18 (tptp.u6r1 tptp.exist))) (let ((_let_19 (tptp.u1r1 _let_18))) (let ((_let_20 (tptp.t _let_18 _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.u1r2 _let_18))) (let ((_let_23 (tptp.t _let_18 _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.t1most _let_18))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.equalish _let_22 _let_19))) (let ((_let_28 (or _let_27 _let_26 _let_24 _let_21))) (let ((_let_29 (_let_9))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (not _let_28))) (let ((_let_32 (tptp.t2least _let_18))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_23 _let_33))) (let ((_let_35 (_let_11))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.c _let_18))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_32 _let_38))) (let ((_let_40 (_let_14))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (tptp.s2least _let_18))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.r tptp.exist _let_18))) (let ((_let_45 (not _let_44))) (let ((_let_46 (not _let_17))) (let ((_let_47 (or _let_37 _let_46 _let_45 _let_43))) (let ((_let_48 (_let_7))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (tptp.u7r1 _let_18))) (let ((_let_51 (tptp.s _let_18 _let_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.u7r2 _let_18))) (let ((_let_54 (tptp.s _let_18 _let_53))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.equalish _let_53 _let_50))) (let ((_let_57 (or _let_42 _let_56 _let_55 _let_52))) (let ((_let_58 (_let_6))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.s1most _let_18))) (let ((_let_61 (or _let_60 _let_54))) (let ((_let_62 (_let_1))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (not _let_60))) (let ((_let_65 (or _let_15 _let_64))) (let ((_let_66 (_let_5))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (ASSUME :args (_let_16)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_15 _let_64 (not _let_65)))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.exist QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f X1) true))))) :args _let_66)) _let_67 :args (_let_65 false _let_5)) :args (_let_64 true _let_15 false _let_65)))) (let ((_let_70 (or _let_60 _let_51))) (let ((_let_71 (_let_2))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (not _let_56))) (let ((_let_74 (or _let_60 _let_73))) (let ((_let_75 (_let_3))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (or _let_15 _let_44))) (let ((_let_78 (_let_4))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_15 _let_44 (not _let_77)))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.exist QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f X1) true))))) :args _let_78)) _let_79 :args (_let_77 false _let_4)) :args (_let_44 true _let_15 false _let_77)))) (let ((_let_81 (ASSUME :args (_let_17)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_32 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_45 _let_37 _let_43 (not _let_47)))) _let_81 _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_42 _let_56 _let_52 _let_55 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_60 _let_73 (not _let_74)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s1most X1) true))))) :args _let_75)) _let_76 :args (_let_74 false _let_3)) :args (_let_73 true _let_60 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_60 _let_51 (not _let_70)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s1most X1) true))))) :args _let_71)) _let_72 :args (_let_70 false _let_2)) :args (_let_51 true _let_60 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_54 (not _let_61)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s1most X1) true))))) :args _let_62)) _let_63 :args (_let_61 false _let_1)) :args (_let_54 true _let_60 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_18 _let_53 _let_50 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.s2least X1) true)) (not (= (tptp.equalish X3 X2) true))))) :args _let_58)) _let_59 :args (_let_57 false _let_6)) :args (_let_42 true _let_56 false _let_51 false _let_54 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_18 tptp.exist QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r X1 X2) false))))) :args _let_48)) _let_49 :args (_let_47 false _let_7)) :args (_let_37 false _let_17 false _let_44 false _let_42 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.t2least X1) true))))) :args _let_40)) _let_41 :args (_let_39 false _let_14)) :args (_let_32 false _let_37 false _let_39)))) (let ((_let_83 (or _let_20 _let_33))) (let ((_let_84 (_let_12))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (not _let_27))) (let ((_let_87 (or _let_33 _let_86))) (let ((_let_88 (_let_13))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (tptp.d _let_18))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_25 _let_91))) (let ((_let_93 (_let_10))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (or _let_90 _let_46 _let_45))) (let ((_let_96 (_let_8))) (let ((_let_97 (ASSUME :args _let_96))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_22 _let_19 _let_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.t X1 X3) false)) (not (= (tptp.equalish X3 X2) true))))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_26 _let_27 _let_21 _let_24 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_25 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_46 _let_45 _let_90 (not _let_95)))) _let_81 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_18 tptp.exist QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r X1 X3) false))))) :args _let_96)) _let_97 :args (_let_95 false _let_8)) :args (_let_90 false _let_17 false _let_44 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.d X1) false))))) :args _let_93)) _let_94 :args (_let_92 false _let_10)) :args (_let_25 false _let_90 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_33 _let_86 (not _let_87)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.t2least X1) false))))) :args _let_88)) _let_89 :args (_let_87 false _let_13)) :args (_let_86 false _let_32 false _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_33 _let_20 (not _let_83)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.t2least X1) false))))) :args _let_84)) _let_85 :args (_let_83 false _let_12)) :args (_let_20 false _let_32 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_23 (not _let_34)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.t2least X1) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_11)) :args (_let_23 false _let_32 false _let_34)) :args (_let_31 false _let_25 true _let_27 false _let_20 false _let_23)) _let_30 :args (false true _let_28 false _let_9)) :args (_let_17 _let_16 _let_14 (forall ((X1 $$unsorted)) (or (tptp.c X1) (not (tptp.t2least X1)))) _let_13 _let_12 _let_11 (forall ((X1 $$unsorted) (X3 $$unsorted) (X2 $$unsorted)) (or (tptp.t2least X1) (tptp.equalish X3 X2) (not (tptp.t X1 X3)) (not (tptp.t X1 X2)))) _let_10 (forall ((X1 $$unsorted)) (or (tptp.d X1) (not (tptp.t1most X1)))) _let_9 (forall ((X1 $$unsorted)) (or (tptp.t1most X1) (not (tptp.equalish (tptp.u3r2 X1) (tptp.u3r1 X1))))) (forall ((X1 $$unsorted)) (or (tptp.t1most X1) (tptp.t X1 (tptp.u3r1 X1)))) (forall ((X1 $$unsorted)) (or (tptp.t1most X1) (tptp.t X1 (tptp.u3r2 X1)))) _let_8 _let_7 (forall ((X1 $$unsorted)) (or (tptp.e X1) (not (tptp.c (tptp.u4r1 X1))) (not (tptp.d (tptp.u4r2 X1))))) (forall ((X1 $$unsorted)) (or (tptp.e X1) (tptp.r X1 (tptp.u4r2 X1)) (not (tptp.c (tptp.u4r1 X1))))) (forall ((X1 $$unsorted)) (or (tptp.e X1) (tptp.s2least (tptp.u4r1 X1)) (not (tptp.d (tptp.u4r2 X1))))) (forall ((X1 $$unsorted)) (or (tptp.e X1) (tptp.s2least (tptp.u4r1 X1)) (tptp.r X1 (tptp.u4r2 X1)))) (forall ((X1 $$unsorted)) (or (tptp.e X1) (tptp.r X1 (tptp.u4r1 X1)) (not (tptp.d (tptp.u4r2 X1))))) (forall ((X1 $$unsorted)) (or (tptp.e X1) (tptp.r X1 (tptp.u4r1 X1)) (tptp.r X1 (tptp.u4r2 X1)))) (forall ((X1 $$unsorted)) (or (not (tptp.s2least X1)) (not (tptp.equalish (tptp.u5r2 X1) (tptp.u5r1 X1))))) (forall ((X1 $$unsorted)) (or (tptp.s X1 (tptp.u5r1 X1)) (not (tptp.s2least X1)))) (forall ((X1 $$unsorted)) (or (tptp.s X1 (tptp.u5r2 X1)) (not (tptp.s2least X1)))) _let_6 (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (tptp.s1most X2) (not (tptp.f X1)) (not (tptp.r X1 X2)))) _let_5 _let_4 (forall ((X3 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (tptp.equalish X3 X2) (not (tptp.s1most X1)) (not (tptp.s X1 X3)) (not (tptp.s X1 X2)))) _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55  )
% 0.20/0.55  % SZS output end Proof for KRS013-1
% 0.20/0.55  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------