%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 07:02:32 EDT 2023

% Result   : Theorem 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL636+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 07:30:14 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PvuvM4k902/cvc5---1.0.5_5455.p...
% 0.20/0.54  ------- get file name : TPTP file name is LCL636+1.001
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5455.smt2...
% 0.20/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54  % SZS status Theorem for LCL636+1.001
% 0.20/0.54  % SZS output start Proof for LCL636+1.001
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (not (not (exists ((X $$unsorted)) (let ((_let_1 (tptp.p100 X))) (let ((_let_2 (tptp.p101 X))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.p1 X))) (let ((_let_5 (tptp.p2 X))) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (and (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p101 Y))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 Y))) (let ((_let_4 (tptp.p1 Y))) (let ((_let_5 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (tptp.p2 X)) (not (tptp.p102 X)) (tptp.p101 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (tptp.p2 X) (not (tptp.p102 X)) (tptp.p101 X))))))) (not (and _let_2 _let_3))) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.p101 X)))) _let_5) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (tptp.p101 X)))) (not _let_5))) _let_2) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)) (not (tptp.p100 X)))) _let_4) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (tptp.p100 X)))) (not _let_4))) (not _let_3)) (or _let_1 (not (tptp.p102 Y))) (or _let_3 _let_2))))))))) (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (tptp.p2 Y)) (not (tptp.p102 Y)) (tptp.p101 Y)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (tptp.p2 Y) (not (tptp.p102 Y)) (tptp.p101 Y))))))) (not (and _let_3 _let_1))) (or (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.p101 Y)))) _let_5) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (tptp.p101 Y)))) (not _let_5))) _let_3) (or (and (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)) (not (tptp.p100 Y)))) _let_4) (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (tptp.p100 Y)))) (not _let_4))) (not _let_1)) (or _let_2 (not (tptp.p102 X))) (or _let_1 _let_3) _let_3 _let_1)))))))))))))) (let ((_let_2 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_3 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_4 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_5 (not _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.p100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.p101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (or _let_5 _let_3 (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.p101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (not (tptp.p101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_14 (and _let_13 _let_10 _let_7))) (let ((_let_15 (not _let_2))) (let ((_let_16 (or _let_15 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_835 $$unsorted) (BOUND_VARIABLE_825 $$unsorted) (BOUND_VARIABLE_814 $$unsorted) (BOUND_VARIABLE_804 $$unsorted)) (let ((_let_1 (tptp.p101 Y))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 Y))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 Y))) (let ((_let_6 (tptp.p2 Y))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))) _let_1 _let_4) (or (and (or _let_6 (not (tptp.r1 Y BOUND_VARIABLE_804)) (not (tptp.p2 BOUND_VARIABLE_804)) (not (tptp.p101 BOUND_VARIABLE_804))) (or (not _let_6) (not (tptp.r1 Y BOUND_VARIABLE_814)) (tptp.p2 BOUND_VARIABLE_814) (not (tptp.p101 BOUND_VARIABLE_814)))) _let_2) (or (and (or _let_5 (not (tptp.r1 Y BOUND_VARIABLE_825)) (not (tptp.p1 BOUND_VARIABLE_825)) (not (tptp.p100 BOUND_VARIABLE_825))) (or (not _let_5) (not (tptp.r1 Y BOUND_VARIABLE_835)) (tptp.p1 BOUND_VARIABLE_835) (not (tptp.p100 BOUND_VARIABLE_835)))) _let_4) (or _let_1 (not (tptp.p102 Y))) (or _let_3 _let_2))))))))))) _let_14 (and (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p2 Y)) (not (tptp.p101 Y))))) (not _let_12)) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y) (not (tptp.p101 Y))))) _let_12)) _let_9) (and (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p1 Y)) (not (tptp.p100 Y))))) (not _let_11)) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (not (tptp.p100 Y))))) _let_11)) _let_7) (and _let_10 (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and _let_8 _let_9) _let_9 _let_8))) (let ((_let_17 (forall ((X $$unsorted) (BOUND_VARIABLE_922 $$unsorted) (BOUND_VARIABLE_913 $$unsorted)) (let ((_let_1 (tptp.p100 X))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p101 X))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 X))) (let ((_let_6 (tptp.p2 X))) (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_835 $$unsorted) (BOUND_VARIABLE_825 $$unsorted) (BOUND_VARIABLE_814 $$unsorted) (BOUND_VARIABLE_804 $$unsorted)) (let ((_let_1 (tptp.p101 Y))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 Y))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 Y))) (let ((_let_6 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))) _let_1 _let_4) (or (and (or _let_6 (not (tptp.r1 Y BOUND_VARIABLE_804)) (not (tptp.p2 BOUND_VARIABLE_804)) (not (tptp.p101 BOUND_VARIABLE_804))) (or (not _let_6) (not (tptp.r1 Y BOUND_VARIABLE_814)) (tptp.p2 BOUND_VARIABLE_814) (not (tptp.p101 BOUND_VARIABLE_814)))) _let_2) (or (and (or _let_5 (not (tptp.r1 Y BOUND_VARIABLE_825)) (not (tptp.p1 BOUND_VARIABLE_825)) (not (tptp.p100 BOUND_VARIABLE_825))) (or (not _let_5) (not (tptp.r1 Y BOUND_VARIABLE_835)) (tptp.p1 BOUND_VARIABLE_835) (not (tptp.p100 BOUND_VARIABLE_835)))) _let_4) (or _let_1 (not (tptp.p102 Y))) (or _let_3 _let_2))))))))))) (and (or (not (tptp.r1 X BOUND_VARIABLE_913)) (tptp.p2 BOUND_VARIABLE_913) (tptp.p102 BOUND_VARIABLE_913) (not (tptp.p101 BOUND_VARIABLE_913)) (not (tptp.r1 X BOUND_VARIABLE_922)) (not (tptp.p2 BOUND_VARIABLE_922)) (tptp.p102 BOUND_VARIABLE_922) (not (tptp.p101 BOUND_VARIABLE_922))) _let_4 _let_1) (and (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p2 Y)) (not (tptp.p101 Y))))) (not _let_6)) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y) (not (tptp.p101 Y))))) _let_6)) _let_3) (and (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)) (not (tptp.p100 Y))))) (not _let_5)) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (tptp.p100 Y))))) _let_5)) _let_1) (and _let_4 (tptp.p102 X)) (and _let_2 _let_3) _let_3 _let_2)))))))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (REFL :args (_let_16)))) (let ((_let_24 (not _let_6))) (let ((_let_25 (not _let_13))) (let ((_let_26 (_let_14))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_26) (CONG (REFL :args _let_26) (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args (_let_8)) :args _let_20)) :args ((or _let_9 _let_14 _let_8 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_16 7)) :args ((or _let_10 _let_16))) _let_22 :args (_let_10 true _let_16)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 2)) _let_22 :args ((not _let_14) true _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 8)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_20)) :args ((or _let_7 _let_16))) _let_22 :args (_let_7 true _let_16)) :args (_let_25 true _let_9 true _let_14 false _let_7)))) (let ((_let_28 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_5 _let_3 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_20)) :args ((or _let_4 _let_13))) _let_27 :args (_let_4 true _let_13)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_27 :args ((not _let_3) true _let_13)) :args (_let_24 false _let_4 true _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_2))) :args _let_20)) :args ((or _let_2 _let_16))) _let_22 :args (_let_2 true _let_16)) :args (false true _let_6 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for LCL636+1.001
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------