%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 05:41:30 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    : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 01:20:09 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0A8d7qrXhc/cvc5---1.0.5_19207.p...
% 0.22/0.50  ------- get file name : TPTP file name is KRS119+1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19207.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54  % SZS status Unsatisfiable for KRS119+1
% 0.22/0.54  % SZS output start Proof for KRS119+1
% 0.22/0.54  (
% 0.22/0.54  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_44786))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rr X Y) (tptp.rr Y Z)) (tptp.rr X Z))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvR X Y) (tptp.rr Y X))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.ca_Ax2 Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (tptp.cp1 X) (forall ((Y $$unsorted)) (=> (tptp.rinvR X Y) (tptp.cp1xcomp Y)))))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.cp1xcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.cp1 X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.ca_Vx3 Y))) (tptp.cp1 X)))))) (let ((_let_9 (tptp.cp1xcomp tptp.i2003_11_14_17_21_44786))) (let ((_let_10 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_44786 Y0))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (= _let_9 _let_11))) (let ((_let_13 (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.i2003_11_14_17_21_44786))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (tptp.cp1xcomp Y))))) (let ((_let_17 (and (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_16))) (let ((_let_18 (tptp.ca_Ax2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (tptp.cp1 X) (forall ((Y $$unsorted)) (or (not (tptp.rinvR X Y)) (tptp.cp1xcomp Y)))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (not _let_18))) (let ((_let_23 (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22))) (let ((_let_26 (forall ((Y $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.ca_Ax2 Y)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.ca_Vx3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((X $$unsorted)) (= (tptp.ca_Vx3 X) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.ca_Ax2 Y))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (not _let_29))) (let ((_let_34 (tptp.rr tptp.i2003_11_14_17_21_44786 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_21_44786 Y)) (not (tptp.ca_Vx3 Y)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (tptp.cp1 tptp.i2003_11_14_17_21_44786))) (let ((_let_40 (not _let_37))) (let ((_let_41 (and _let_40 _let_39))) (let ((_let_42 (= _let_1 _let_41))) (let ((_let_43 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.ca_Vx3 Y))))) (tptp.cp1 X)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_42)) :args ((or (not _let_1) _let_41 (not _let_42)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.i2003_11_14_17_21_44786 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_41 false _let_1 false _let_42)))) (let ((_let_46 (not _let_41))) (let ((_let_47 (or))) (let ((_let_48 (_let_40))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_37))) (REFL :args (_let_38)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 0)) :args ((or _let_40 _let_46))) _let_45 :args (_let_40 false _let_41)) :args (_let_38 true _let_37)))) (let ((_let_50 (REFL :args (_let_36)))) (let ((_let_51 (_let_28))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_26))) (REFL :args (_let_27)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or _let_33 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) :args _let_47)) :args ((or _let_29 _let_36))) _let_49 :args (_let_29 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Vx3 X)))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_29 false _let_30)) :args (_let_27 true _let_26)))) (let ((_let_53 (REFL :args (_let_25)))) (let ((_let_54 (_let_16))) (let ((_let_55 (tptp.rr tptp.i2003_11_14_17_21_44786 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_56 (= _let_55 _let_13))) (let ((_let_57 (_let_3))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (or _let_35 _let_24 _let_55))) (let ((_let_60 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.rr Y Z)) (tptp.rr X Z))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_44786 Y))))) (let ((_let_63 (= _let_39 _let_62))) (let ((_let_64 (forall ((X $$unsorted)) (= (tptp.cp1 X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (forall ((X $$unsorted)) (= (tptp.cp1xcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_67 (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_12)) :args ((or (not _let_9) _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.i2003_11_14_17_21_44786 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp1xcomp X)))) :args (_let_66))) _let_67 :args (_let_12 false _let_66)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_62 (= Y Y0)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or (not _let_39) _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_39 _let_46))) _let_45 :args (_let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.i2003_11_14_17_21_44786 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp1 X)))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_62 false _let_39 false _let_63)) :args (_let_10 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or (not _let_55) _let_13 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_35 _let_24 _let_55 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_47)) :args ((or _let_34 _let_36))) _let_49 :args (_let_34 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_47)) :args ((or _let_23 _let_25))) _let_52 :args (_let_23 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.i2003_11_14_17_21_44786 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rr X Y) false)) (not (= (tptp.rr Y Z) false))))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_55 false _let_34 false _let_23 false _let_59)) (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_44786 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rr Y X)))) :args _let_57))) _let_58 :args (_let_56 false _let_3)) :args (_let_13 false _let_55 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (tptp.i2003_11_14_17_21_44786 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y) false))))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_22 _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) :args _let_47)) :args ((or _let_18 _let_25))) _let_52 :args (_let_18 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax2 X)))) :args (_let_20))) _let_21 :args (_let_19 false _let_20)) :args (_let_17 false _let_18 false _let_19)) :args (_let_16 false _let_17)) :args (_let_15 false _let_16)) :args (_let_9 false _let_13 false _let_15)) :args (false false _let_12 false _let_10 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Ax2 A)) (tptp.ca_Ax2 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Vx3 A)) (tptp.ca_Vx3 B))) (forall ((A $$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 $$unsorted)) (=> (and (= A B) (tptp.cp1xcomp A)) (tptp.cp1xcomp B))) (forall ((A $$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.rf A C)) (tptp.rf B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf C A)) (tptp.rf C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF A C)) (tptp.rinvF B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF C A)) (tptp.rinvF C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvR A C)) (tptp.rinvR B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvR C A)) (tptp.rinvR C B))) (forall ((A $$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 $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((X $$unsorted)) (=> (tptp.cowlThing X) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rf X Y0) (tptp.rf X Y1)) (= Y0 Y1))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF X Y) (tptp.rf Y X))) _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54  )
% 0.22/0.55  % SZS output end Proof for KRS119+1
% 0.22/0.55  % cvc5---1.0.5 exiting
% 0.22/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------