%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS113+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 05:41:29 EDT 2023

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS113+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 01:33:29 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.PlipDX6StX/cvc5---1.0.5_15432.p...
% 0.21/0.50  ------- get file name : TPTP file name is KRS113+1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15432.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for KRS113+1
% 0.21/0.53  % SZS output start Proof for KRS113+1
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rr X Y))))) (let ((_let_2 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_22376))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvS X Y) (tptp.rs Y X))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.ca_Vx2 X) (forall ((Y $$unsorted)) (=> (tptp.rinvS X Y) (tptp.cp Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rr X Y0) (tptp.rr X Y1)) (= Y0 Y1))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.ca_Vx2 Y))) (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.cp Y))) (tptp.cpxcomp X)))))) (let ((_let_8 (tptp.cp tptp.i2003_11_14_17_21_22376))) (let ((_let_9 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_22376 Y))))) (let ((_let_10 (= _let_8 _let_9))) (let ((_let_11 (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_21_22376))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_8))) (let ((_let_14 (forall ((Y $$unsorted)) (or (not (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.cp Y))))) (let ((_let_15 (tptp.ca_Vx2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (= _let_15 _let_14))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.ca_Vx2 X) (forall ((Y $$unsorted)) (or (not (tptp.rinvS X Y)) (tptp.cp Y))))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_15))) (let ((_let_20 (tptp.rr tptp.i2003_11_14_17_21_22376 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19))) (let ((_let_23 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_21_22376 Y)) (not (tptp.ca_Vx2 Y)))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (tptp.cpxcomp tptp.i2003_11_14_17_21_22376))) (let ((_let_26 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_21_22376 Y)) (not (tptp.cp Y)))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (not _let_23))) (let ((_let_29 (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_21_22376 Y0)) (not (tptp.rr tptp.i2003_11_14_17_21_22376 Y1)) (= Y0 Y1))))) (let ((_let_30 (and _let_29 _let_28 _let_27 _let_25))) (let ((_let_31 (= _let_2 _let_30))) (let ((_let_32 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rr X Y0)) (not (tptp.rr X Y1)) (= Y0 Y1))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.ca_Vx2 Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.cp Y))))) (tptp.cpxcomp X)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or (not _let_2) _let_30 (not _let_31)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.i2003_11_14_17_21_22376 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_30 false _let_2 false _let_31)))) (let ((_let_35 (not _let_30))) (let ((_let_36 (or))) (let ((_let_37 (_let_28))) (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_28) _let_23))) (REFL :args (_let_24)) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_28 _let_35))) _let_34 :args (_let_28 false _let_30)) :args (_let_24 true _let_23)))) (let ((_let_39 (REFL :args (_let_22)))) (let ((_let_40 (_let_14))) (let ((_let_41 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_42 (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.i2003_11_14_17_21_22376))) (let ((_let_43 (tptp.rr tptp.i2003_11_14_17_21_22376 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_21 _let_44 _let_41))) (let ((_let_46 (_let_29))) (let ((_let_47 (tptp.rs tptp.i2003_11_14_17_21_22376 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_43))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rs X Y)) (tptp.rr X Y))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or _let_48 (not (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (_let_27))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_36)) :args ((or _let_47 _let_52))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) (REFL :args (_let_53)) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 2)) :args ((or _let_27 _let_35))) _let_34 :args (_let_27 false _let_30)) :args (_let_53 true _let_26)) :args (_let_47 true _let_52)))) (let ((_let_56 (= _let_47 _let_42))) (let ((_let_57 (_let_3))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (and _let_42 _let_41))) (let ((_let_60 (_let_42 _let_41))) (let ((_let_61 (ASSUME :args (_let_42)))) (let ((_let_62 (ASSUME :args (_let_41)))) (let ((_let_63 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_22376 Y0))))) (let ((_let_64 (not _let_63))) (let ((_let_65 (= _let_25 _let_64))) (let ((_let_66 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (forall ((X $$unsorted)) (= (tptp.cp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or (not _let_8) _let_9 (not _let_10)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.i2003_11_14_17_21_22376 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp X)))) :args (_let_68))) _let_69 :args (_let_10 false _let_68)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_63 (= Y0 Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or (not _let_25) _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 3)) :args ((or _let_25 _let_35))) _let_34 :args (_let_25 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.i2003_11_14_17_21_22376 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cpxcomp X)))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_64 false _let_25 false _let_65)) :args ((not _let_9) true _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_8 (not _let_13)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_62) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_62)) (REFL :args (tptp.i2003_11_14_17_21_22376)) :args (APPLY_UF tptp.rinvS)) (TRUE_INTRO _let_61))) :args _let_60)) :args _let_60)) :args (true _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or _let_48 _let_42 (not _let_56)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.i2003_11_14_17_21_22376 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rs Y X)))) :args _let_57))) _let_58 :args (_let_56 false _let_3)) :args (_let_42 false _let_47 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_21 _let_44 _let_41 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_36)) :args ((or _let_20 _let_22))) _let_38 :args (_let_20 true _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_43 (not _let_49)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.i2003_11_14_17_21_22376 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs X Y) false))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_43 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rr tptp.i2003_11_14_17_21_22376 Y0) false)) (not (= (tptp.rr tptp.i2003_11_14_17_21_22376 Y1) false))))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 0)) :args ((or _let_29 _let_35))) _let_34 :args (_let_29 false _let_30)) :args (_let_45 false _let_29)) :args (_let_41 false _let_20 false _let_43 false _let_45)) :args (_let_11 false _let_42 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (tptp.i2003_11_14_17_21_22376 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y) false))))) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_16)) :args ((or _let_19 _let_14 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) :args _let_36)) :args ((or _let_15 _let_22))) _let_38 :args (_let_15 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx2 X)))) :args (_let_17))) _let_18 :args (_let_16 false _let_17)) :args (_let_14 false _let_15 false _let_16)) :args (_let_13 false _let_14)) :args (_let_8 false _let_11 false _let_13)) :args (false false _let_10 true _let_9 false _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Vx2 A)) (tptp.ca_Vx2 B))) (forall ((A $$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 $$unsorted)) (=> (and (= A B) (tptp.cp A)) (tptp.cp B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cpxcomp A)) (tptp.cpxcomp B))) (forall ((A $$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.rinvS A C)) (tptp.rinvS B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvS C A)) (tptp.rinvS C B))) (forall ((A $$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 $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rs A C)) (tptp.rs B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rs C A)) (tptp.rs C B))) (forall ((A $$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_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for KRS113+1
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------