%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL682+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 07:03:11 EDT 2023

% Result   : Theorem 0.17s 0.48s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LCL682+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Aug 24 18:54:38 EDT 2023
% 0.17/0.33  % CPUTime    : 
% 0.17/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VsdjYTLb7i/cvc5---1.0.5_25281.p...
% 0.17/0.48  ------- get file name : TPTP file name is LCL682+1.001
% 0.17/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25281.smt2...
% 0.17/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.48  % SZS status Theorem for LCL682+1.001
% 0.17/0.48  % SZS output start Proof for LCL682+1.001
% 0.17/0.48  (
% 0.17/0.48  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p16 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p12 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p14 X)))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p12 X))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p15 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p13 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p12 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p11 X)))))))))))) (let ((_let_2 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_3 (tptp.p12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (not _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (and (or _let_5 (tptp.p16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_6 (or _let_5 (tptp.p14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_6))) (let ((_let_8 (not _let_2))) (let ((_let_9 (or _let_8 _let_7))) (let ((_let_10 (forall ((Y $$unsorted) (BOUND_VARIABLE_724 $$unsorted) (BOUND_VARIABLE_718 $$unsorted) (BOUND_VARIABLE_712 $$unsorted) (BOUND_VARIABLE_706 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (and (or (not (tptp.r1 Y BOUND_VARIABLE_706)) (tptp.p16 BOUND_VARIABLE_706)) (or (not (tptp.r1 Y BOUND_VARIABLE_712)) (tptp.p12 BOUND_VARIABLE_712)) (or (not (tptp.r1 Y BOUND_VARIABLE_718)) (tptp.p14 BOUND_VARIABLE_718)) (or (not (tptp.r1 Y BOUND_VARIABLE_724)) (tptp.p12 BOUND_VARIABLE_724))))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (tptp.p15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.p13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_8 _let_5 _let_3 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.p11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_13 (forall ((X $$unsorted) (BOUND_VARIABLE_816 $$unsorted) (BOUND_VARIABLE_814 $$unsorted) (BOUND_VARIABLE_806 $$unsorted) (BOUND_VARIABLE_804 $$unsorted) (BOUND_VARIABLE_796 $$unsorted) (BOUND_VARIABLE_794 $$unsorted) (BOUND_VARIABLE_786 $$unsorted) (BOUND_VARIABLE_784 $$unsorted)) (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_724 $$unsorted) (BOUND_VARIABLE_718 $$unsorted) (BOUND_VARIABLE_712 $$unsorted) (BOUND_VARIABLE_706 $$unsorted)) (or (not (tptp.r1 X Y)) (and (or (not (tptp.r1 Y BOUND_VARIABLE_706)) (tptp.p16 BOUND_VARIABLE_706)) (or (not (tptp.r1 Y BOUND_VARIABLE_712)) (tptp.p12 BOUND_VARIABLE_712)) (or (not (tptp.r1 Y BOUND_VARIABLE_718)) (tptp.p14 BOUND_VARIABLE_718)) (or (not (tptp.r1 Y BOUND_VARIABLE_724)) (tptp.p12 BOUND_VARIABLE_724)))))) (not (tptp.r1 X BOUND_VARIABLE_784)) (not (tptp.r1 BOUND_VARIABLE_784 BOUND_VARIABLE_786)) (tptp.p15 BOUND_VARIABLE_786) (not (tptp.r1 X BOUND_VARIABLE_794)) (not (tptp.r1 BOUND_VARIABLE_794 BOUND_VARIABLE_796)) (tptp.p13 BOUND_VARIABLE_796) (not (tptp.r1 X BOUND_VARIABLE_804)) (not (tptp.r1 BOUND_VARIABLE_804 BOUND_VARIABLE_806)) (tptp.p12 BOUND_VARIABLE_806) (not (tptp.r1 X BOUND_VARIABLE_814)) (not (tptp.r1 BOUND_VARIABLE_814 BOUND_VARIABLE_816)) (tptp.p11 BOUND_VARIABLE_816))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (or))) (let ((_let_17 (not _let_13))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_15) :args (_let_17))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) (REFL :args (_let_14)) :args _let_16)) _let_15 :args (_let_14 true _let_13)))) (let ((_let_19 (REFL :args (_let_12)))) (let ((_let_20 (_let_10))) (let ((_let_21 (not _let_7))) (let ((_let_22 (not _let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_8 _let_7 (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_6 _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_5 _let_3 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 8)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_16)) :args ((or _let_4 _let_12))) _let_18 :args (_let_4 true _let_12)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 9)) _let_18 :args ((not _let_3) true _let_12)) :args (_let_22 false _let_4 true _let_3)) :args (_let_21 true _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_20) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.r1 Y BOUND_VARIABLE_706) (tptp.r1 Y BOUND_VARIABLE_712) (tptp.r1 Y BOUND_VARIABLE_718) (tptp.r1 Y BOUND_VARIABLE_724)))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 0)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_16)) :args ((or _let_10 _let_12))) _let_18 :args (_let_10 true _let_12)) :args (_let_9 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 7)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_2))) :args _let_16)) :args ((or _let_2 _let_12))) _let_18 :args (_let_2 true _let_12)) :args (false true _let_7 false _let_9 false _let_2)) :args ((forall ((X $$unsorted)) (tptp.r1 X X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))) _let_1 true)))))))))))))))))))))))))
% 0.17/0.48  )
% 0.17/0.48  % SZS output end Proof for LCL682+1.001
% 0.17/0.48  % cvc5---1.0.5 exiting
% 0.17/0.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------