%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS142+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 05:41:35 EDT 2023

% Result   : Theorem 0.18s 0.52s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS142+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 28 00:59:43 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.18/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.meDRjEJodT/cvc5---1.0.5_30870.p...
% 0.18/0.52  ------- get file name : TPTP file name is KRS142+1
% 0.18/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30870.smt2...
% 0.18/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.52  % SZS status Theorem for KRS142+1
% 0.18/0.52  % SZS output start Proof for KRS142+1
% 0.18/0.52  (
% 0.18/0.52  (let ((_let_1 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_2 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_1 (forall ((X $$unsorted)) (=> (tptp.cc X) (exists ((Y0 $$unsorted)) (tptp.rp X Y0)))) (forall ((X $$unsorted)) (=> (tptp.cc X) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rp X Y0) (tptp.rp X Y1)) (= Y0 Y1))))))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.cc X) (and (exists ((Y0 $$unsorted)) (tptp.rp X Y0)) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rp X Y0) (tptp.rp X Y1)) (= Y0 Y1)))))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_5 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_6))) (let ((_let_12 (and (not (forall ((Y0 $$unsorted)) (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y0)))) _let_11))) (let ((_let_13 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (forall ((X $$unsorted) (BOUND_VARIABLE_867 $$unsorted) (BOUND_VARIABLE_865 $$unsorted)) (or (not (tptp.cc X)) (and (not (forall ((Y0 $$unsorted)) (not (tptp.rp X Y0)))) (or (not (tptp.rp X BOUND_VARIABLE_865)) (not (tptp.rp X BOUND_VARIABLE_867)) (= BOUND_VARIABLE_865 BOUND_VARIABLE_867))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (_let_16))) (let ((_let_19 (or _let_14 _let_8 _let_10 _let_6))) (let ((_let_20 (forall ((X $$unsorted) (BOUND_VARIABLE_913 $$unsorted) (BOUND_VARIABLE_911 $$unsorted)) (or (not (tptp.cc X)) (not (tptp.rp X BOUND_VARIABLE_911)) (not (tptp.rp X BOUND_VARIABLE_913)) (= BOUND_VARIABLE_911 BOUND_VARIABLE_913))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (forall ((BOUND_VARIABLE_885 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_885))))) (let ((_let_23 (forall ((BOUND_VARIABLE_880 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_880)))) (let ((_let_24 (forall ((X $$unsorted)) (or (not (tptp.cc X)) (not (forall ((Y0 $$unsorted)) (not (tptp.rp X Y0)))))))) (let ((_let_25 (not _let_20))) (let ((_let_26 (forall ((BOUND_VARIABLE_842 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_842))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((BOUND_VARIABLE_837 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_837)))) (let ((_let_29 (forall ((Y0 $$unsorted)) (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y0))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (forall ((Y0 $$unsorted)) (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y0))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_32 _let_35))) (let ((_let_37 (or))) (let ((_let_38 (REFL :args (_let_33)))) (let ((_let_39 (not _let_24))) (let ((_let_40 (_let_39))) (let ((_let_41 (_let_25))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41) (REWRITE :args ((=> _let_25 (not (or _let_14 _let_8 _let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_20))) (REFL :args (_let_21)) :args _let_37)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_4 (= X X)))) :args ((or _let_1 (not _let_4)))) (ASSUME :args (_let_4)) :args (_let_1 false _let_4)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_24))) (REFL :args ((not _let_33))) :args _let_37)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_29 (= Y0 Y0)))) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_32 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_18))) _let_17 :args (_let_36 false _let_16)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_37)) :args ((or _let_29 _let_33))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_37)) :args ((or _let_31 _let_33))) :args (_let_33 true _let_34 false _let_36 false _let_29 false _let_31)) :args (_let_24 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_28 (= BOUND_VARIABLE_837 BOUND_VARIABLE_880)))) :args ((or _let_23 (not _let_28)))) (AND_ELIM _let_27 :args (0)) :args (_let_23 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_26 (= BOUND_VARIABLE_842 BOUND_VARIABLE_885)))) :args ((or _let_22 (not _let_26)))) (AND_ELIM _let_27 :args (1)) :args (_let_22 false _let_26)) :args (_let_25 false _let_1 false _let_24 false _let_23 false _let_22)) :args (_let_21 true _let_20)))) (let ((_let_43 (REFL :args (_let_19)))) (let ((_let_44 (not _let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_8 _let_10 _let_6 _let_44))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_37)) :args ((or _let_7 _let_19))) _let_42 :args (_let_7 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_37)) :args ((or _let_9 _let_19))) _let_42 :args (_let_9 true _let_19)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 3)) _let_42 :args ((not _let_6) true _let_19)) :args (_let_44 false _let_7 false _let_9 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_37)) :args ((or _let_13 _let_19))) _let_42 :args (_let_13 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.rp X BOUND_VARIABLE_865) (tptp.rp X BOUND_VARIABLE_867)))) :args _let_18)) _let_17 :args (_let_15 false _let_16)) :args (_let_12 false _let_13 false _let_15)) :args (false true _let_11 false _let_12)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc A)) (tptp.cc B))) (forall ((A $$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.rp A C)) (tptp.rp B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rp C A)) (tptp.rp C B))) (forall ((A $$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))) _let_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.53  )
% 0.18/0.53  % SZS output end Proof for KRS142+1
% 0.18/0.53  % cvc5---1.0.5 exiting
% 0.18/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------