%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS127+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : KRS127+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n002.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   : Mon Aug 28 01:39:19 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Nj0pSXnK8Y/cvc5---1.0.5_15422.p...
% 0.21/0.51  ------- get file name : TPTP file name is KRS127+1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15422.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54  % SZS status Unsatisfiable for KRS127+1
% 0.21/0.54  % SZS output start Proof for KRS127+1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_27794))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.cdxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.cd X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.cc X) (tptp.cdxcomp X))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cc Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cd Y))) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rr X Y0) (tptp.rr X Y1)) (= Y0 Y1)))))))) (let ((_let_6 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y))))) (let ((_let_7 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.cd X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (not _let_8))) (let ((_let_13 (tptp.rr tptp.i2003_11_14_17_22_27794 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_27794 Y)) (not (tptp.cd Y)))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_27794 Y0)) (not (tptp.rr tptp.i2003_11_14_17_22_27794 Y1)) (= Y0 Y1))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_22_27794 Y)) (not (tptp.cc Y)))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (and _let_21 _let_19 _let_18))) (let ((_let_23 (= _let_1 _let_22))) (let ((_let_24 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cc Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cd Y))))) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rr X Y0)) (not (tptp.rr X Y1)) (= Y0 Y1)))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or (not _let_1) _let_22 (not _let_23)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.i2003_11_14_17_22_27794 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_22 false _let_1 false _let_23)))) (let ((_let_27 (not _let_22))) (let ((_let_28 (or))) (let ((_let_29 (_let_19))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_29)) :args _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_16))) (REFL :args (_let_17)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_19 _let_27))) _let_26 :args (_let_19 false _let_22)) :args (_let_17 true _let_16)))) (let ((_let_31 (REFL :args (_let_15)))) (let ((_let_32 (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y0))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.cdxcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (forall ((X $$unsorted)) (= (tptp.cdxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_36))) (let ((_let_43 (forall ((X $$unsorted)) (or (not (tptp.cc X)) (tptp.cdxcomp X))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (tptp.rr tptp.i2003_11_14_17_22_27794 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (not _let_47))) (let ((_let_49 (_let_21))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) (REFL :args (_let_48)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 _let_27))) _let_26 :args (_let_21 false _let_22)) :args (_let_48 true _let_20)))) (let ((_let_51 (REFL :args (_let_47)))) (let ((_let_52 (_let_32))) (let ((_let_53 (_let_35))) (let ((_let_54 (or _let_46 _let_14 _let_33))) (let ((_let_55 (_let_18))) (let ((_let_56 (and _let_33 _let_32))) (let ((_let_57 (ASSUME :args _let_52))) (let ((_let_58 (ASSUME :args (_let_33)))) (let ((_let_59 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y) false))))) :args _let_59)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_58) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_58) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args (APPLY_UF tptp.ra_Px1)) (TRUE_INTRO _let_57))) :args (_let_32 _let_33))) :args (_let_33 _let_32))) :args (true _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_46 _let_14 _let_33 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_28)) :args ((or _let_45 _let_47))) _let_50 :args (_let_45 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_28)) :args ((or _let_13 _let_15))) _let_30 :args (_let_13 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_55) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rr tptp.i2003_11_14_17_22_27794 Y0) false)) (not (= (tptp.rr tptp.i2003_11_14_17_22_27794 Y1) false))))) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 2)) :args ((or _let_18 _let_27))) _let_26 :args (_let_18 false _let_22)) :args (_let_54 false _let_18)) :args (_let_33 false _let_45 false _let_13 false _let_54)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53) (REWRITE :args ((=> _let_35 (not (not _let_32))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) (REFL :args _let_52) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or (not _let_36) _let_35 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_36 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 1)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_28)) :args ((or _let_40 _let_47))) _let_50 :args (_let_40 true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cc X) false))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_36 false _let_40 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cdxcomp X)))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_35 false _let_36 false _let_37)) :args (_let_32 true _let_34)) :args (_let_7 false _let_33 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or _let_12 _let_6 (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_8))) :args _let_28)) :args ((or _let_8 _let_15))) _let_30 :args (_let_8 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cd X)))) :args (_let_10))) _let_11 :args (_let_9 false _let_10)) :args (_let_6 false _let_8 false _let_9)) :args (false false _let_7 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc A)) (tptp.cc B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cd A)) (tptp.cd B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cdxcomp A)) (tptp.cdxcomp B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.ra_Px1 A C)) (tptp.ra_Px1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.ra_Px1 C A)) (tptp.ra_Px1 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr A C)) (tptp.rr B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr C A)) (tptp.rr C B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_integer A)) (tptp.xsd_integer B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) (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 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for KRS127+1
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------