%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 07:02:34 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
% 0.00/0.12  % Problem    : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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   : Thu Aug 24 21:48:48 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/sandbox/tmp/tmp.RuIOCrkpz3/cvc5---1.0.5_20070.p...
% 0.20/0.54  ------- get file name : TPTP file name is LCL638+1.001
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20070.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 LCL638+1.001
% 0.20/0.54  % SZS output start Proof for LCL638+1.001
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))) (not (tptp.p1 Y))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (tptp.p1 Y)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))))))))) (let ((_let_2 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_5 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_6 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X))))) (let ((_let_7 (not _let_4))) (let ((_let_8 (not _let_3))) (let ((_let_9 (not _let_6))) (let ((_let_10 (not _let_2))) (let ((_let_11 (or _let_10 _let_9 _let_8 _let_7 _let_5))) (let ((_let_12 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X)))))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (forall ((Y $$unsorted) (BOUND_VARIABLE_846 $$unsorted) (BOUND_VARIABLE_844 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (not (tptp.r1 Y BOUND_VARIABLE_844)) (not (tptp.r1 BOUND_VARIABLE_844 BOUND_VARIABLE_846)) (tptp.p1 BOUND_VARIABLE_846))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (forall ((Y $$unsorted) (BOUND_VARIABLE_744 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_744)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_744 Y)) (tptp.p1 Y)))))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 (not (forall ((Y $$unsorted) (BOUND_VARIABLE_764 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p1 Y)) (not (tptp.r1 Y BOUND_VARIABLE_764)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_764 Y)) (not (tptp.p1 Y)))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_806 $$unsorted) (BOUND_VARIABLE_804 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (not (tptp.r1 Y BOUND_VARIABLE_804)) (not (tptp.r1 BOUND_VARIABLE_804 BOUND_VARIABLE_806)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_806 X)) (not (tptp.p1 X)))))))) _let_18 _let_16 _let_10 _let_14 _let_13))) (let ((_let_22 (forall ((X $$unsorted) (BOUND_VARIABLE_870 $$unsorted)) (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_744 $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (tptp.r1 Y BOUND_VARIABLE_744)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_744 Y)) (tptp.p1 Y))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_764 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)) (not (tptp.r1 Y BOUND_VARIABLE_764)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_764 Y)) (not (tptp.p1 Y)))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_806 $$unsorted) (BOUND_VARIABLE_804 $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (not (tptp.r1 Y BOUND_VARIABLE_804)) (not (tptp.r1 BOUND_VARIABLE_804 BOUND_VARIABLE_806)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_806 X)) (not (tptp.p1 X)))))))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_846 $$unsorted) (BOUND_VARIABLE_844 $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (not (tptp.r1 Y BOUND_VARIABLE_844)) (not (tptp.r1 BOUND_VARIABLE_844 BOUND_VARIABLE_846)) (tptp.p1 BOUND_VARIABLE_846)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (tptp.r1 X BOUND_VARIABLE_870)) (tptp.p1 BOUND_VARIABLE_870) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_870 X)) (tptp.p1 X)))))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (REFL :args (_let_21)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 5)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_2))) :args _let_25)) :args ((or _let_2 _let_21))) _let_27 :args (_let_2 true _let_21)))) (let ((_let_30 (forall ((X $$unsorted)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_10 _let_31))) (let ((_let_33 (_let_15))) (let ((_let_34 (_let_31))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34) (REWRITE :args ((=> _let_31 (not _let_8)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) (REFL :args (_let_3)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_10 _let_31 (not _let_32)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 4)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_25)) :args ((or _let_15 _let_21))) _let_27 :args (_let_15 true _let_21)) :args (_let_32 false _let_15)) :args (_let_31 false _let_2 false _let_32)) :args (_let_3 true _let_30)))) (let ((_let_36 (or _let_7 _let_5))) (let ((_let_37 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (tptp.p1 Y))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (not _let_37))) (let ((_let_40 (or _let_10 _let_14 _let_8 _let_39))) (let ((_let_41 (_let_19))) (let ((_let_42 (_let_39))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_37))) (REFL :args (_let_38)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_10 _let_14 _let_8 _let_39 (not _let_40)))) _let_29 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 6)) _let_27 :args ((not _let_14) true _let_21)) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 Y BOUND_VARIABLE_744) false))))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_25)) :args ((or _let_19 _let_21))) _let_27 :args (_let_19 true _let_21)) :args (_let_40 false _let_19)) :args (_let_39 false _let_2 true _let_14 false _let_3 false _let_40)) :args (_let_38 true _let_37)))) (let ((_let_44 (_let_17))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 _let_7 _let_5 _let_9 (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r1 Y BOUND_VARIABLE_844) false)) (not (= (tptp.r1 BOUND_VARIABLE_844 BOUND_VARIABLE_846) false))))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 3)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_25)) :args ((or _let_17 _let_21))) _let_27 :args (_let_17 true _let_21)) :args (_let_11 false _let_17)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_12 (= X X)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 7)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_25)) :args ((or _let_12 _let_21))) _let_27 :args (_let_12 true _let_21)) :args (_let_6 false _let_12)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 1)) _let_43 :args ((not _let_5) true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_4))) :args _let_25)) :args ((or _let_4 _let_36))) _let_43 :args (_let_4 true _let_36)) _let_35 _let_29 :args (false false _let_11 false _let_6 true _let_5 false _let_4 false _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for LCL638+1.001
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------