TSTP Solution File: KRS128+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 05:41:32 EDT 2023

% Result   : Unsatisfiable 0.22s 0.54s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 01:50:43 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7xpKyBjwnw/cvc5---1.0.5_1739.p...
% 0.22/0.51  ------- get file name : TPTP file name is KRS128+1
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1739.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54  % SZS status Unsatisfiable for KRS128+1
% 0.22/0.54  % SZS output start Proof for KRS128+1
% 0.22/0.54  (
% 0.22/0.54  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_31584))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.ca_Cx4xcomp X) (and (tptp.cd X) (tptp.cexcomp X)))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.ca_Cx4xcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px4 X Y))))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.ca_Cx4 X) (exists ((Y0 $$unsorted)) (tptp.ra_Px4 X Y0)))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cexcomp Y))) (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (tptp.cd Y))) (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (tptp.ca_Cx4 Y)))))))) (let ((_let_6 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y0))))) (let ((_let_7 (forall ((Y $$unsorted)) (not (tptp.ra_Px4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y))))) (let ((_let_8 (not _let_6))) (let ((_let_9 (tptp.ca_Cx4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.ca_Cx4 X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px4 X Y0)))))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (tptp.rr tptp.i2003_11_14_17_22_31584 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_31584 Y)) (tptp.ca_Cx4 Y))))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_31584 Y)) (tptp.cd Y))))) (let ((_let_18 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_31584 Y)) (not (tptp.cexcomp Y)))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (and _let_19 _let_17 _let_16))) (let ((_let_21 (= _let_1 _let_20))) (let ((_let_22 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cexcomp Y))))) (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (tptp.cd Y))) (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (tptp.ca_Cx4 Y)))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or (not _let_1) _let_20 (not _let_21)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.i2003_11_14_17_22_31584 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_20 false _let_1 false _let_21)))) (let ((_let_25 (not _let_20))) (let ((_let_26 (_let_16))) (let ((_let_27 (tptp.cexcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_14 _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or))) (let ((_let_32 (_let_19))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) (REFL :args (_let_30)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_19 _let_25))) _let_24 :args (_let_19 false _let_20)) :args (_let_30 true _let_18)))) (let ((_let_34 (REFL :args (_let_29)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_31)) :args ((or _let_13 _let_29))) _let_33 :args (_let_13 true _let_29)))) (let ((_let_36 (tptp.ca_Cx4xcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (= _let_36 _let_7))) (let ((_let_38 (forall ((X $$unsorted)) (= (tptp.ca_Cx4xcomp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px4 X Y))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_41 (and _let_40 _let_27))) (let ((_let_42 (= _let_36 _let_41))) (let ((_let_43 (_let_2))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (or _let_14 _let_40))) (let ((_let_46 (_let_17))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_6 (= Y0 Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or (not _let_36) _let_7 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_42)) :args ((or _let_36 (not _let_41) (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_41)) :args ((or _let_28 _let_41 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_31)) :args ((or _let_27 _let_29))) _let_33 :args (_let_27 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_14 _let_40 (not _let_45)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rr tptp.i2003_11_14_17_22_31584 Y) false))))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_17 _let_25))) _let_24 :args (_let_17 false _let_20)) :args (_let_45 false _let_17)) :args (_let_40 false _let_13 false _let_45)) :args (_let_41 false _let_27 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cexcomp X)))) :args _let_43)) _let_44 :args (_let_42 false _let_2)) :args (_let_36 false _let_41 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Cx4xcomp X)))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_7 false _let_36 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or (not _let_9) _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 (not _let_15)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rr tptp.i2003_11_14_17_22_31584 Y) false))))) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 2)) :args ((or _let_16 _let_25))) _let_24 :args (_let_16 false _let_20)) :args (_let_15 false _let_16)) :args (_let_9 false _let_13 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Cx4 X)))) :args (_let_11))) _let_12 :args (_let_10 false _let_11)) :args (_let_8 false _let_9 false _let_10)) :args (false false _let_7 true _let_6)) :args ((forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_5 (forall ((X $$unsorted)) (=> (tptp.cc X) (tptp.cdxcomp X))) (forall ((X $$unsorted)) (= (tptp.cd X) (exists ((Y0 $$unsorted)) (tptp.ra_Px2 X Y0)))) (forall ((X $$unsorted)) (= (tptp.cdxcomp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px2 X Y))))) (forall ((X $$unsorted)) (= (tptp.ce X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))) (forall ((X $$unsorted)) (= (tptp.cexcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))) _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54  )
% 0.22/0.55  % SZS output end Proof for KRS128+1
% 0.22/0.55  % cvc5---1.0.5 exiting
% 0.22/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------