%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL686+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 07:03:15 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
% 0.03/0.12  % Problem    : LCL686+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n023.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   : Fri Aug 25 07:40:12 EDT 2023
% 0.12/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HLqu3AoOb2/cvc5---1.0.5_4761.p...
% 0.20/0.54  ------- get file name : TPTP file name is LCL686+1.001
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4761.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 LCL686+1.001
% 0.20/0.54  % SZS output start Proof for LCL686+1.001
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p3 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false)) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (not (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (and (not _let_1) (not _let_2)) (and _let_2 _let_1))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_4 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_5 (not _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (not _let_3))) (let ((_let_8 (or _let_4 _let_7))) (let ((_let_9 (and _let_6 _let_8))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (and (not _let_1) (not _let_2)) (and _let_2 _let_1))))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.p3 Y)))))) (let ((_let_16 (not (forall ((Y $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)))))) (let ((_let_17 (and _let_16 _let_12 _let_15 _let_14))) (let ((_let_18 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((X $$unsorted) (BOUND_VARIABLE_709 $$unsorted)) (let ((_let_1 (tptp.p1 BOUND_VARIABLE_709))) (let ((_let_2 (tptp.p2 BOUND_VARIABLE_709))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (and (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_709)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y)))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (and (not _let_1) (not _let_2)) (and _let_2 _let_1))))))))))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_22))) (let ((_let_24 (forall ((X $$unsorted) (BOUND_VARIABLE_735 $$unsorted) (BOUND_VARIABLE_746 $$unsorted) (BOUND_VARIABLE_733 $$unsorted)) (or (not (tptp.r1 X BOUND_VARIABLE_733)) (not (tptp.p3 BOUND_VARIABLE_733)) (not (tptp.r1 BOUND_VARIABLE_733 BOUND_VARIABLE_735)) (not (tptp.p1 BOUND_VARIABLE_735)) (not (tptp.r1 X BOUND_VARIABLE_746)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_709 $$unsorted)) (let ((_let_1 (tptp.p1 BOUND_VARIABLE_709))) (let ((_let_2 (tptp.p2 BOUND_VARIABLE_709))) (or (not (tptp.r1 BOUND_VARIABLE_746 X)) (and (not (forall ((Y $$unsorted)) (not (tptp.r1 X Y)))) (or (not (tptp.r1 X BOUND_VARIABLE_709)) (and (or (not _let_2) _let_1) (or _let_2 (not _let_1)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y)))) (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (let ((_let_2 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 5)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_27)) :args ((or _let_21 _let_23))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)) :args (_let_21 true _let_23)))) (let ((_let_30 (_let_21))) (let ((_let_31 ((tptp.r1 X BOUND_VARIABLE_709)))) (let ((_let_32 (ASSUME :args _let_30))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 X X) true))))) :args _let_33)) _let_34 :args (_let_18 false _let_2)))) (let ((_let_36 (and _let_4 _let_3))) (let ((_let_37 (and _let_7 _let_5))) (let ((_let_38 (or _let_11 _let_37 _let_36))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (and _let_16 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (or (not _let_41) _let_40) (or _let_41 (not _let_40)))) _let_15 _let_14))) (let ((_let_43 (or _let_19 _let_42))) (let ((_let_44 (_let_14))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) (REFL :args (_let_39)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 3)) :args ((or _let_14 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_19 _let_42 (not _let_43)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_43 false _let_21)) :args (_let_42 false _let_18 false _let_43)) :args (_let_14 false _let_42)) :args (_let_39 true _let_13)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_9 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG (REFL :args (_let_38)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_27)) :args ((or _let_10 _let_38))) _let_45 :args (_let_10 true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_12 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 (not _let_20)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_20 false _let_21)) :args (_let_17 false _let_18 false _let_20)) :args (_let_12 false _let_17)) :args (_let_9 false _let_10 false _let_12)))) (let ((_let_47 (not _let_9))) (let ((_let_48 (_let_37))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_4 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_8 _let_47))) _let_46 :args (_let_8 false _let_9)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_48) (CONG (REFL :args _let_48) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_3))) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_27)) :args ((or _let_3 _let_4 _let_37))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_45 :args ((not _let_37) true _let_38)) :args (_let_4 false _let_8 false _let_3 true _let_37)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_3 _let_5 (not _let_6)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_36)) :args ((or _let_7 _let_5 _let_36))) _let_49 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 2)) _let_45 :args ((not _let_36) true _let_38)) :args (_let_7 false _let_4 true _let_36)) _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_6 _let_47))) _let_46 :args (_let_6 false _let_9)) :args (false true _let_3 false _let_4 false _let_6)) :args (_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for LCL686+1.001
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------