%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS101+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 05:41:26 EDT 2023

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS101+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.16/0.34  % Computer : n018.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Mon Aug 28 02:39:01 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.iP7Q2sgSJD/cvc5---1.0.5_27307.p...
% 0.20/0.49  ------- get file name : TPTP file name is KRS101+1
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27307.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51  % SZS status Unsatisfiable for KRS101+1
% 0.20/0.51  % SZS output start Proof for KRS101+1
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_36582))) (let ((_let_2 (forall ((X $$unsorted)) (=> (tptp.cc X) (not (tptp.cd X)))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (tptp.cd Y))) (forall ((Y $$unsorted)) (=> (tptp.rr X Y) (or (not (exists ((Z0 $$unsorted) (Z1 $$unsorted)) (and (tptp.rs Y Z0) (tptp.rs Y Z1) (not (= Z0 Z1))))) (tptp.cc Y)))) (exists ((Y $$unsorted)) (and (tptp.rr X Y) (not (forall ((Z0 $$unsorted) (Z1 $$unsorted)) (=> (and (tptp.rs Y Z0) (tptp.rs Y Z1)) (= Z0 Z1))))))))))) (let ((_let_4 (forall ((X $$unsorted)) (or (not (tptp.cc X)) (not (tptp.cd X)))))) (let ((_let_5 (tptp.cd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or _let_8 _let_6))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.rs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.rr tptp.i2003_11_14_17_20_36582 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_7 _let_16 _let_14 _let_12))) (let ((_let_20 (forall ((Y $$unsorted) (BOUND_VARIABLE_974 $$unsorted) (BOUND_VARIABLE_972 $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_20_36582 Y)) (tptp.cc Y) (not (tptp.rs Y BOUND_VARIABLE_972)) (not (tptp.rs Y BOUND_VARIABLE_974)) (= BOUND_VARIABLE_972 BOUND_VARIABLE_974))))) (let ((_let_21 (forall ((Y $$unsorted) (BOUND_VARIABLE_1004 $$unsorted) (BOUND_VARIABLE_1002 $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_20_36582 Y)) (not (tptp.rs Y BOUND_VARIABLE_1002)) (not (tptp.rs Y BOUND_VARIABLE_1004)) (= BOUND_VARIABLE_1002 BOUND_VARIABLE_1004))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (forall ((Y $$unsorted)) (or (not (tptp.rr tptp.i2003_11_14_17_20_36582 Y)) (tptp.cd Y))))) (let ((_let_24 (and _let_23 _let_20 _let_22))) (let ((_let_25 (= _let_1 _let_24))) (let ((_let_26 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (forall ((Y $$unsorted)) (or (not (tptp.rr X Y)) (tptp.cd Y))) (forall ((Y $$unsorted) (BOUND_VARIABLE_974 $$unsorted) (BOUND_VARIABLE_972 $$unsorted)) (or (not (tptp.rr X Y)) (tptp.cc Y) (not (tptp.rs Y BOUND_VARIABLE_972)) (not (tptp.rs Y BOUND_VARIABLE_974)) (= BOUND_VARIABLE_972 BOUND_VARIABLE_974))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1004 $$unsorted) (BOUND_VARIABLE_1002 $$unsorted)) (or (not (tptp.rr X Y)) (not (tptp.rs Y BOUND_VARIABLE_1002)) (not (tptp.rs Y BOUND_VARIABLE_1004)) (= BOUND_VARIABLE_1002 BOUND_VARIABLE_1004))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or (not _let_1) _let_24 (not _let_25)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.i2003_11_14_17_20_36582 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_24 false _let_1 false _let_25)))) (let ((_let_29 (not _let_24))) (let ((_let_30 (_let_20))) (let ((_let_31 (or _let_18 _let_16 _let_14 _let_12))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or))) (let ((_let_34 (_let_22))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34) (REWRITE :args ((=> _let_22 (not (or _let_18 _let_16 _let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) (REFL :args (_let_32)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 2)) :args ((or _let_22 _let_29))) _let_28 :args (_let_22 false _let_24)) :args (_let_32 true _let_21)))) (let ((_let_36 (REFL :args (_let_31)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_33)) :args ((or _let_17 _let_31))) _let_35 :args (_let_17 true _let_31)))) (let ((_let_38 (or _let_18 _let_5))) (let ((_let_39 (_let_23))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cc X) false))))) :args (_let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_6 _let_8 _let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_18 _let_5 (not _let_38)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rr tptp.i2003_11_14_17_20_36582 Y) false))))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_23 _let_29))) _let_28 :args (_let_23 false _let_24)) :args (_let_38 false _let_23)) :args (_let_5 false _let_17 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 _let_14 _let_12 _let_7 (not _let_19)))) _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_33)) :args ((or _let_15 _let_31))) _let_35 :args (_let_15 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 2)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_33)) :args ((or _let_13 _let_31))) _let_35 :args (_let_13 true _let_31)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 3)) _let_35 :args ((not _let_12) true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rs Y BOUND_VARIABLE_972) false)) (not (= (tptp.rs Y BOUND_VARIABLE_974) false))))) :args _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_20 _let_29))) _let_28 :args (_let_20 false _let_24)) :args (_let_19 false _let_20)) :args (_let_7 false _let_17 false _let_15 false _let_13 true _let_12 false _let_19)) :args (_let_11 false _let_5 false _let_7)) _let_10 :args (false true _let_9 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 $$unsorted) (C $$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_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.52  % SZS output end Proof for KRS101+1
% 0.20/0.52  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------