%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS069+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 05:41:19 EDT 2023

% Result   : Unsatisfiable 0.24s 0.57s
% Output   : Proof 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : KRS069+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n025.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Aug 28 02:10:09 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.24/0.53  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HuRVik6hXp/cvc5---1.0.5_3730.p...
% 0.24/0.54  ------- get file name : TPTP file name is KRS069+1
% 0.24/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3730.smt2...
% 0.24/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.24/0.57  % SZS status Unsatisfiable for KRS069+1
% 0.24/0.57  % SZS output start Proof for KRS069+1
% 0.24/0.58  (
% 0.24/0.58  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rf3 X Y) (tptp.rf2 X Y))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rf3 X Y) (tptp.rf1 X Y))))) (let ((_let_3 (tptp.cUnsatisfiable tptp.i2003_11_14_17_18_2750))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf2 X Y) (tptp.rf2 X Z)) (= Y Z))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf1 X Y) (tptp.rf1 X Z)) (= Y Z))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rf1 X Y) (tptp.cp1 Y))) (exists ((Y $$unsorted)) (and (tptp.rf2 X Y) (not (tptp.cp1 Y)))) (exists ((Y $$unsorted)) (and (tptp.rf3 X Y) (tptp.cp2 Y)))))))) (let ((_let_7 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (not _let_7))) (let ((_let_12 (tptp.rf1 tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11))) (let ((_let_15 (forall ((Y $$unsorted)) (or (not (tptp.rf1 tptp.i2003_11_14_17_18_2750 Y)) (not (tptp.cp1 Y)))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (tptp.rf3 tptp.i2003_11_14_17_18_2750 Y)) (not (tptp.cp2 Y)))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (forall ((Y $$unsorted)) (or (not (tptp.rf2 tptp.i2003_11_14_17_18_2750 Y)) (tptp.cp1 Y))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (not _let_15))) (let ((_let_22 (and _let_21 _let_20 _let_18))) (let ((_let_23 (= _let_3 _let_22))) (let ((_let_24 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rf1 X Y)) (not (tptp.cp1 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rf2 X Y)) (tptp.cp1 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.rf3 X Y)) (not (tptp.cp2 Y)))))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or (not _let_3) _let_22 (not _let_23)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.i2003_11_14_17_18_2750 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_22 false _let_3 false _let_23)))) (let ((_let_27 (not _let_22))) (let ((_let_28 (or))) (let ((_let_29 (_let_21))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_29)) :args _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_15))) (REFL :args (_let_16)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 _let_27))) _let_26 :args (_let_21 false _let_22)) :args (_let_16 true _let_15)))) (let ((_let_31 (REFL :args (_let_14)))) (let ((_let_32 (tptp.rf2 tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_8))) (let ((_let_35 (not _let_8))) (let ((_let_36 (not _let_34))) (let ((_let_37 (_let_20))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) (REFL :args (_let_36)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_20 _let_27))) _let_26 :args (_let_20 false _let_22)) :args (_let_36 true _let_19)))) (let ((_let_39 (tptp.rf1 tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_13 _let_40 _let_9))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rf1 X Y)) (not (tptp.rf1 X Z)) (= Y Z))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (tptp.rf3 tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_39))) (let ((_let_47 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rf3 X Y)) (tptp.rf1 X Y))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or _let_45 (not (tptp.cp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_50 (not _let_49))) (let ((_let_51 (_let_18))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_28)) :args ((or _let_44 _let_49))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) (REFL :args (_let_50)) :args _let_28)) (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_50 true _let_17)) :args (_let_44 true _let_49)))) (let ((_let_53 (tptp.rf2 tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_33 _let_54 _let_10))) (let ((_let_56 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rf2 X Y)) (not (tptp.rf2 X Z)) (= Y Z))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (or _let_45 _let_53))) (let ((_let_59 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rf3 X Y)) (tptp.rf2 X Y))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (ASSUME :args (_let_7)))) (let ((_let_62 (ASSUME :args (_let_9)))) (let ((_let_63 (ASSUME :args (_let_10)))) (let ((_let_64 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_61 _let_62 _let_63 _let_64) :args (_let_7 _let_35 _let_9 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_64)) (CONG (TRANS (SYMM (SYMM _let_63)) (SYMM _let_62)) :args (APPLY_UF tptp.cp1)) (TRUE_INTRO _let_61))) :args (_let_7 _let_9 _let_10 _let_35)) :args ((not (and _let_7 _let_35 _let_9 _let_10)) SB_LITERAL))) (CONG (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_8))) (REFL :args ((not _let_9))) (REFL :args ((not _let_10))) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_33 _let_54 _let_10 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_28)) :args ((or _let_32 _let_34))) _let_38 :args (_let_32 true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_45 _let_53 (not _let_58)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rf3 X Y) false))))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_53 false _let_44 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf2 X Y) false)) (not (= (tptp.rf2 X Z) false))))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_10 false _let_32 false _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_13 _let_40 _let_9 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_28)) :args ((or _let_12 _let_14))) _let_30 :args (_let_12 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_39 (not _let_46)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rf3 X Y) false))))) :args (_let_47))) _let_48 :args (_let_46 false _let_47)) :args (_let_39 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.i2003_11_14_17_18_2750 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf1 X Y) false)) (not (= (tptp.rf1 X Z) false))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_9 false _let_12 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_38 :args (_let_35 true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))) :args _let_28)) :args ((or _let_7 _let_14))) _let_30 :args (_let_7 true _let_14)) :args (false false _let_10 false _let_9 true _let_8 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$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 $$unsorted)) (=> (and (= A B) (tptp.cp1 A)) (tptp.cp1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp2 A)) (tptp.cp2 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf1 A C)) (tptp.rf1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf1 C A)) (tptp.rf1 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf2 A C)) (tptp.rf2 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf2 C A)) (tptp.rf2 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf3 A C)) (tptp.rf3 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf3 C A)) (tptp.rf3 C B))) (forall ((A $$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 $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_6 _let_5 _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf3 X Y) (tptp.rf3 X Z)) (= Y Z))) _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.24/0.58  )
% 0.24/0.58  % SZS output end Proof for KRS069+1
% 0.24/0.58  % cvc5---1.0.5 exiting
% 0.24/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------