%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS096+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 05:41:25 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
% 0.00/0.13  % Problem    : KRS096+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n029.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 02:17:41 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6HfUSSYyNf/cvc5---1.0.5_811.p...
% 0.21/0.50  ------- get file name : TPTP file name is KRS096+1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_811.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for KRS096+1
% 0.21/0.53  % SZS output start Proof for KRS096+1
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_18265))) (let ((_let_2 (forall ((X $$unsorted)) (=> (tptp.cc X) (not (tptp.cd X)))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cc Y))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (tptp.cd Y))) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (=> (and (tptp.rr X Y0) (tptp.rr X Y1)) (= Y0 Y1)))))))) (let ((_let_4 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_5 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (not _let_4))) (let ((_let_8 (tptp.rr tptp.i2003_11_14_17_20_18265 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_20_18265 Y)) (not (tptp.cc Y)))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_20_18265 Y0)) (not (tptp.rr tptp.i2003_11_14_17_20_18265 Y1)) (= Y0 Y1))))) (let ((_let_14 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_20_18265 Y)) (not (tptp.cd Y)))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_11))) (let ((_let_17 (and _let_16 _let_15 _let_13))) (let ((_let_18 (= _let_1 _let_17))) (let ((_let_19 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cc Y))))) (not (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.cd Y))))) (forall ((Y0 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.rr X Y0)) (not (tptp.rr X Y1)) (= Y0 Y1)))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or (not _let_1) _let_17 (not _let_18)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.i2003_11_14_17_20_18265 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_19))) _let_20 :args (_let_18 false _let_19)) :args (_let_17 false _let_1 false _let_18)))) (let ((_let_22 (not _let_17))) (let ((_let_23 (or))) (let ((_let_24 (_let_16))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_24)) :args _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_11))) (REFL :args (_let_12)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_16 _let_22))) _let_21 :args (_let_16 false _let_17)) :args (_let_12 true _let_11)))) (let ((_let_26 (REFL :args (_let_10)))) (let ((_let_27 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_5))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (forall ((X $$unsorted)) (or (not (tptp.cc X)) (not (tptp.cd X)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (tptp.rr tptp.i2003_11_14_17_20_18265 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_28))) (let ((_let_36 (not _let_35))) (let ((_let_37 (_let_15))) (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_15) _let_14))) (REFL :args (_let_36)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_15 _let_22))) _let_21 :args (_let_15 false _let_17)) :args (_let_36 true _let_14)))) (let ((_let_39 (REFL :args (_let_35)))) (let ((_let_40 (or _let_9 _let_34 _let_6))) (let ((_let_41 (_let_13))) (let ((_let_42 (ASSUME :args (_let_4)))) (let ((_let_43 (ASSUME :args (_let_6)))) (let ((_let_44 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_43 _let_44) :args (_let_4 _let_29 _let_6)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_44)) (CONG (SYMM _let_43) :args (APPLY_UF tptp.cc)) (TRUE_INTRO _let_42))) :args (_let_4 _let_6 _let_29)) :args ((not (and _let_4 _let_29 _let_6)) SB_LITERAL))) (CONG (REFL :args (_let_7)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_5))) (REFL :args ((not _let_6))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_9 _let_34 _let_6 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_23)) :args ((or _let_8 _let_10))) _let_25 :args (_let_8 true _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_23)) :args ((or _let_33 _let_35))) _let_38 :args (_let_33 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rr tptp.i2003_11_14_17_20_18265 Y0) false)) (not (= (tptp.rr tptp.i2003_11_14_17_20_18265 Y1) false))))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 2)) :args ((or _let_13 _let_22))) _let_21 :args (_let_13 false _let_17)) :args (_let_40 false _let_13)) :args (_let_6 false _let_8 false _let_33 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_28 _let_29 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_23)) :args ((or _let_27 _let_35))) _let_38 :args (_let_27 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cd X) false))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_29 false _let_27 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_4))) :args _let_23)) :args ((or _let_4 _let_10))) _let_25 :args (_let_4 true _let_10)) :args (false false _let_6 true _let_5 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cc A)) (tptp.cc B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cd A)) (tptp.cd 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 $$unsorted)) (=> (and (= A B) (tptp.rr A C)) (tptp.rr B C))) (forall ((A $$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_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for KRS096+1
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------