%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS110+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 05:41:28 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
% 0.00/0.13  % Problem    : KRS110+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 28 01:09:21 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.yrWJ9Bmtk6/cvc5---1.0.5_20319.p...
% 0.21/0.50  ------- get file name : TPTP file name is KRS110+1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20319.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 KRS110+1
% 0.21/0.54  % SZS output start Proof for KRS110+1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_12565))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (tptp.cp X) (exists ((Y $$unsorted)) (and (tptp.rinvS X Y) (tptp.cp Y)))))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (exists ((Y0 $$unsorted)) (tptp.ra_Px1 X Y0)))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.cp X) (not (exists ((Y $$unsorted)) (tptp.ra_Px1 X Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.ca_Ax2 Y))) (forall ((Y $$unsorted)) (=> (tptp.rs X Y) (tptp.cpxcomp Y)))))))) (let ((_let_6 (forall ((Y $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y))))) (let ((_let_7 (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y0))))) (let ((_let_8 (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.cp X) (forall ((Y $$unsorted)) (not (tptp.ra_Px1 X Y))))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (and _let_8 (not (forall ((Y $$unsorted)) (or (not (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (not (tptp.cp Y)))))))) (let ((_let_13 (tptp.ca_Ax2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.ca_Ax2 X) (and (tptp.cp X) (not (forall ((Y $$unsorted)) (or (not (tptp.rinvS X Y)) (not (tptp.cp Y)))))))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (not _let_13))) (let ((_let_18 (tptp.rs tptp.i2003_11_14_17_21_12565 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_21_12565 Y)) (not (tptp.ca_Ax2 Y)))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_21_12565 Y)) (tptp.cpxcomp Y))))) (let ((_let_24 (not _let_21))) (let ((_let_25 (and _let_24 _let_23))) (let ((_let_26 (= _let_1 _let_25))) (let ((_let_27 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.ca_Ax2 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (tptp.cpxcomp Y)))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_26)) :args ((or (not _let_1) _let_25 (not _let_26)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.i2003_11_14_17_21_12565 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_25 false _let_1 false _let_26)))) (let ((_let_30 (not _let_25))) (let ((_let_31 (or))) (let ((_let_32 (_let_24))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args (_let_22)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_24 _let_30))) _let_29 :args (_let_24 false _let_25)) :args (_let_22 true _let_21)))) (let ((_let_34 (REFL :args (_let_20)))) (let ((_let_35 (not _let_7))) (let ((_let_36 (tptp.cpxcomp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (forall ((X $$unsorted)) (= (tptp.cpxcomp X) (not (forall ((Y0 $$unsorted)) (not (tptp.ra_Px1 X Y0)))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or _let_19 _let_36))) (let ((_let_41 (_let_23))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_6 (= Y Y0)))) :args ((or _let_7 (not _let_6)))) (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_40)) :args ((or _let_19 _let_36 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_31)) :args ((or _let_18 _let_20))) _let_33 :args (_let_18 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs tptp.i2003_11_14_17_21_12565 Y) false))))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 1)) :args ((or _let_23 _let_30))) _let_29 :args (_let_23 false _let_25)) :args (_let_40 false _let_23)) :args (_let_36 false _let_18 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cpxcomp X)))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_35 false _let_36 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or (not _let_8) _let_6 (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_12 0)) :args ((or _let_8 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_14)) :args ((or _let_17 _let_12 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) :args _let_31)) :args ((or _let_13 _let_20))) _let_33 :args (_let_13 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ca_Ax2 X)))) :args (_let_15))) _let_16 :args (_let_14 false _let_15)) :args (_let_12 false _let_13 false _let_14)) :args (_let_8 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cp X)))) :args (_let_10))) _let_11 :args (_let_9 false _let_10)) :args (_let_6 false _let_8 false _let_9)) :args (false true _let_7 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.ca_Ax2 A)) (tptp.ca_Ax2 B))) (forall ((A $$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.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.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.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.rinvF1 A C)) (tptp.rinvF1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF1 C A)) (tptp.rinvF1 C B))) (forall ((A $$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.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 $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_5 _let_4 _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf X Y) (tptp.rf X Z)) (= Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf1 X Y) (tptp.rf1 X Z)) (= Y Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF X Y) (tptp.rf Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF1 X Y) (tptp.rf1 Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvS X Y) (tptp.rs Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rs X Y) (tptp.rs X Z)) (= Y Z))) _let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf1 X Y)))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for KRS110+1
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------