%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL658+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 07:02:50 EDT 2023

% Result   : Theorem 46.17s 46.48s
% Output   : Proof 46.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL658+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Thu Aug 24 17:46:08 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 46.17/46.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DfyW3OPpbI/cvc5---1.0.5_28305.p...
% 46.17/46.48  ------- get file name : TPTP file name is LCL658+1.001
% 46.17/46.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28305.smt2...
% 46.17/46.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 46.17/46.48  --- Run --no-e-matching --full-saturate-quant at 5...
% 46.17/46.48  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 46.17/46.48  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 46.17/46.48  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 46.17/46.48  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 46.17/46.48  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 46.17/46.48  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.17/46.48  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 46.17/46.48  % SZS status Theorem for LCL658+1.001
% 46.17/46.48  % SZS output start Proof for LCL658+1.001
% 46.17/46.48  (
% 46.17/46.48  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not _let_1) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (not (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))))) (or _let_1 (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))))))))))) (not (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_6 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5 _let_4))) (let ((_let_9 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (let ((_let_10 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))))) (let ((_let_14 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_13 _let_15))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (let ((_let_21 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (or _let_21 _let_20 _let_19))) (let ((_let_23 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y))))))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_26 (not _let_21))) (let ((_let_27 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X))))) (let ((_let_28 (or _let_27 _let_26 _let_25 _let_24))) (let ((_let_29 (and _let_28 _let_22 _let_17 _let_16))) (let ((_let_30 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not _let_1) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y))))))))) (or _let_1 (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))))))))) (let ((_let_34 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))))))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (or _let_35 _let_34))) (let ((_let_37 (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p1 Y))) (or (not (tptp.r1 X Y)) (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not _let_1) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y))))))))) (or _let_1 (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (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) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (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) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))))))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)))) (let ((_let_43 (_let_33))) (let ((_let_44 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y))))))))) (let ((_let_45 (not _let_44))) (let ((_let_46 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))) (let ((_let_47 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X)) (tptp.p1 X))))) (let ((_let_48 (or _let_31 _let_47 _let_46 _let_45))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_34))) (let ((_let_51 (_let_50))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_34))) (REFL :args (_let_49)) :args _let_40)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 1)) _let_42 :args (_let_50 true _let_36)) :args (_let_49 true _let_34)))) (let ((_let_53 (REFL :args (_let_48)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_29 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_40)) :args ((or _let_30 _let_48))) _let_52 :args (_let_30 true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_43)) (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_35) _let_33))) :args _let_40)) :args ((or _let_33 _let_36))) _let_42 :args (_let_33 true _let_36)) :args (_let_32 false _let_33)) :args (_let_29 false _let_30 false _let_32)))) (let ((_let_55 (not _let_29))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 3)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_40)) :args ((or _let_44 _let_48))) _let_52 :args (_let_44 true _let_48)))) (let ((_let_57 (_let_13))) (let ((_let_58 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))) (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))) (tptp.p1 Y)))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y)) (tptp.p1 Y))))) (let ((_let_61 (or _let_11 _let_60 (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) _let_59))) (let ((_let_62 (not _let_61))) (let ((_let_63 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (not _let_67))) (let ((_let_69 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_70 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X)) (tptp.p1 X))))) (let ((_let_71 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70 (not (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_74 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X)) (tptp.p1 X))))) (let ((_let_75 (or _let_72 _let_74))) (let ((_let_76 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (let ((_let_77 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (tptp.p1 Y))))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_66 _let_76 _let_78))) (let ((_let_80 (_let_17))) (let ((_let_81 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)) (tptp.p1 Y))))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_66 _let_82))) (let ((_let_84 (not _let_83))) (let ((_let_85 (not _let_46))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 2)) _let_52 :args (_let_85 true _let_48)))) (let ((_let_87 (_let_85))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_46))) (REFL :args (_let_84)) :args _let_40)) _let_86 :args (_let_84 true _let_46)))) (let ((_let_89 (REFL :args (_let_83)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 0)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_40)) :args ((or _let_65 _let_83))) _let_88 :args (_let_65 true _let_83)))) (let ((_let_91 (_let_76))) (let ((_let_92 (not _let_69))) (let ((_let_93 (_let_92))) (let ((_let_94 (_let_25))) (let ((_let_95 (= X X))) (let ((_let_96 (= Y Y))) (let ((_let_97 (_let_24))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args (_let_62)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 _let_25 _let_24 (not _let_28)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_47 (= X X)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 1)) _let_52 :args ((not _let_47) true _let_48)) :args ((not _let_27) true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 _let_19 (not _let_22)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_46 (= Y Y) (= X X)))) _let_86 :args ((not _let_20) true _let_46)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_44 _let_96 _let_95 (= X X)))) _let_56 :args (_let_18 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_22 _let_55))) _let_54 :args (_let_22 false _let_29)) :args (_let_21 true _let_20 false _let_18 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X) false))))) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_64 _let_68))) _let_90 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_69 (= X X) (= Y Y)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_69))) (REFL :args ((not _let_73))) :args _let_40)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_70 (= X X)))) (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_72 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_66 _let_76 _let_78 (not _let_79)))) _let_90 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_81 (= Y Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) :args _let_40)) :args ((or _let_81 _let_83))) _let_88 :args (_let_81 true _let_83)) :args (_let_77 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X) false))))) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_17 _let_55))) _let_54 :args (_let_17 false _let_29)) :args (_let_79 false _let_17)) :args (_let_76 false _let_65 false _let_77 false _let_79)) :args (_let_75 false _let_76)) (CNF_OR_NEG :args (_let_73 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 0)) (CONG (REFL :args (_let_73)) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_40)) :args ((or _let_71 _let_73))) :args (_let_73 false _let_74 false _let_75 true _let_70 false _let_71)) :args (_let_69 false _let_73)) :args (_let_63 false _let_69)) :args (_let_68 false _let_65 false _let_63)) :args ((not _let_25) true _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_28 _let_55))) _let_54 :args (_let_28 false _let_29)) :args (_let_24 true _let_27 false _let_21 true _let_25 false _let_28)) :args (_let_62 true _let_23)))) (let ((_let_99 (REFL :args (_let_61)))) (let ((_let_100 (not _let_8))) (let ((_let_101 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))) (not (tptp.p1 Y)))))) (let ((_let_102 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (tptp.p1 X)))))) (let ((_let_103 (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 X)) (tptp.p1 X)))) _let_5))) (let ((_let_104 (or _let_7 _let_102 _let_103))) (let ((_let_105 (_let_58))) (let ((_let_106 (not _let_103))) (let ((_let_107 (or _let_7 _let_5))) (let ((_let_108 (not _let_107))) (let ((_let_109 (not _let_60))) (let ((_let_110 (_let_109))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_60))) (REFL :args (_let_108)) :args _let_40)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 1)) _let_98 :args (_let_109 true _let_61)) :args (_let_108 true _let_60)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_107 1)) _let_111 :args ((not _let_5) true _let_107)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 0)) (CONG (REFL :args (_let_107)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_40)) :args ((or _let_6 _let_107))) _let_111 :args (_let_6 true _let_107)))) (let ((_let_114 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_114) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 X) false))))) :args _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_4 _let_100))) _let_113 _let_112 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_101 _let_95 _let_96))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_101 (= X Y) (= Y X)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_7 _let_102 _let_103 (not _let_104)))) _let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_103 1)) :args ((or _let_5 _let_106))) _let_112 :args (_let_106 true _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_105) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y) false))))) :args _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 3)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_40)) :args ((or _let_58 _let_61))) _let_98 :args (_let_58 true _let_61)) :args (_let_104 false _let_58)) :args (_let_102 false _let_6 true _let_103 false _let_104)) :args (_let_101 false _let_102)) :args (_let_3 false _let_101)) :args (_let_100 false _let_6 true _let_5 false _let_3)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_2 (= Y X) (= X Y) (= X Y)))) (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_61 0)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_40)) :args ((or _let_10 _let_61))) _let_98 :args (_let_10 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X) false))))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_44 (= Y Y) (= X X) (= X X)))) _let_56 :args (_let_14 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 3)) :args ((or _let_16 _let_55))) _let_54 :args (_let_16 false _let_29)) :args (_let_13 false _let_14 false _let_16)) :args (_let_12 false _let_13)) :args (_let_9 false _let_10 false _let_12)) :args (_let_2 false _let_9)) :args (false true _let_8 false _let_2)) :args ((forall ((X $$unsorted)) (tptp.r1 X X)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.17/46.48  )
% 46.17/46.48  % SZS output end Proof for LCL658+1.001
% 46.17/46.48  % cvc5---1.0.5 exiting
% 46.17/46.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------