%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM015+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 : Wed Aug 30 18:36:58 EDT 2023

% Result   : Theorem 66.32s 67.02s
% Output   : Proof 66.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COM015+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.34  % Computer : n010.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Tue Aug 29 13:12:33 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 66.32/67.02  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GSAnNp09Mi/cvc5---1.0.5_28764.p...
% 66.32/67.02  ------- get file name : TPTP file name is COM015+1
% 66.32/67.02  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28764.smt2...
% 66.32/67.02  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 66.32/67.02  --- Run --no-e-matching --full-saturate-quant at 5...
% 66.32/67.02  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 66.32/67.02  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 66.32/67.02  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 66.32/67.02  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 66.32/67.02  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 66.32/67.02  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 66.32/67.02  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 66.32/67.02  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 66.32/67.02  --- Run --relevant-triggers --full-saturate-quant at 5...
% 66.32/67.02  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.32/67.02  % SZS status Theorem for COM015+1
% 66.32/67.02  % SZS output start Proof for COM015+1
% 66.32/67.02  (
% 66.32/67.02  (let ((_let_1 (not (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.sdtmndtasgtdt0 W0 tptp.xR W1) (tptp.sdtmndtasgtdt0 W0 tptp.xR W2)) (=> (forall ((W3 $$unsorted) (W4 $$unsorted) (W5 $$unsorted)) (=> (and (tptp.aElement0 W3) (tptp.aElement0 W4) (tptp.aElement0 W5) (tptp.sdtmndtasgtdt0 W3 tptp.xR W4) (tptp.sdtmndtasgtdt0 W3 tptp.xR W5)) (=> (tptp.iLess0 W3 W0) (exists ((W6 $$unsorted)) (and (tptp.aElement0 W6) (tptp.sdtmndtasgtdt0 W4 tptp.xR W6) (tptp.sdtmndtasgtdt0 W5 tptp.xR W6)))))) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.sdtmndtasgtdt0 W1 tptp.xR W3) (tptp.sdtmndtasgtdt0 W2 tptp.xR W3))))))))) (let ((_let_2 (and (tptp.isLocallyConfluent0 tptp.xR) (tptp.isTerminating0 tptp.xR)))) (let ((_let_3 (tptp.aRewritingSystem0 tptp.xR))) (let ((_let_4 (forall ((W0 $$unsorted)) (=> (and (tptp.aRewritingSystem0 W0) (tptp.isTerminating0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (exists ((W2 $$unsorted)) (tptp.aNormalFormOfIn0 W2 W1 W0)))))))) (let ((_let_5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (= (tptp.aNormalFormOfIn0 W2 W0 W1) (and (tptp.aElement0 W2) (tptp.sdtmndtasgtdt0 W0 W1 W2) (not (exists ((W3 $$unsorted)) (tptp.aReductOfIn0 W3 W2 W1)))))))))) (let ((_let_6 (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isTerminating0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W1 W0 W2) (tptp.iLess0 W2 W1))))))))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isLocallyConfluent0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3) (tptp.aReductOfIn0 W2 W1 W0) (tptp.aReductOfIn0 W3 W1 W0)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdtmndtasgtdt0 W2 W0 W4) (tptp.sdtmndtasgtdt0 W3 W0 W4)))))))))) (let ((_let_8 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtasgtdt0 W0 W1 W2) (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3)))))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtasgtdt0 W0 W1 W2) (or (= W0 W2) (tptp.sdtmndtplgtdt0 W0 W1 W2))))))) (let ((_let_10 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (= (tptp.sdtmndtplgtdt0 W0 W1 W2) (or (tptp.aReductOfIn0 W2 W0 W1) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (tptp.aReductOfIn0 W3 W0 W1) (tptp.sdtmndtplgtdt0 W3 W1 W2))))))))) (let ((_let_11 (forall ((W0 $$unsorted) (b_W1 it_4_$$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (io_tptp.aRewritingSystem0_2 b_W1)) (not (tptp.aElement0 W2)) (not (tptp.aElement0 W3)) (not (io_tptp.sdtmndtasgtdt0_5 W0 b_W1 W2)) (not (io_tptp.sdtmndtasgtdt0_5 W2 b_W1 W3)) (io_tptp.sdtmndtasgtdt0_5 W0 b_W1 W3))))) (let ((_let_12 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))) (let ((_let_13 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))) (let ((_let_14 (not _let_13))) (let ((_let_15 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160))) (let ((_let_20 (not _let_19))) (let ((_let_21 (io_tptp.aRewritingSystem0_2 i_tptp.xR_10))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_12))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (not (tptp.aElement0 W3)) (not (tptp.sdtmndtasgtdt0 W0 W1 W2)) (not (tptp.sdtmndtasgtdt0 W2 W1 W3)) (tptp.sdtmndtasgtdt0 W0 W1 W3))) _let_11))))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))) (let ((_let_29 (not _let_28))) (let ((_let_30 (not _let_12))) (let ((_let_31 (or _let_18 _let_30 _let_29))) (let ((_let_32 (forall ((W4 $$unsorted)) (or (not (tptp.aElement0 W4)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 W4)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 W4)))))) (let ((_let_33 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_86))) (let ((_let_34 (not _let_33))) (let ((_let_35 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_86))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_86))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_34))) (let ((_let_40 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_41 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_42 (tptp.iLess0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_43 (forall ((W6 $$unsorted)) (or (not (tptp.aElement0 W6)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 i_tptp.xR_10 W6)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_86 i_tptp.xR_10 W6)))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (not _let_42))) (let ((_let_46 (not _let_41))) (let ((_let_47 (not _let_40))) (let ((_let_48 (or _let_24 _let_47 _let_38 _let_46 _let_36 _let_45 _let_44))) (let ((_let_49 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_86 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141))) (let ((_let_50 (not _let_49))) (let ((_let_51 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_50))) (let ((_let_56 (io_tptp.sdtmndtplgtdt0_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141))) (let ((_let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141))) (let ((_let_58 (or _let_57 _let_56))) (let ((_let_59 (= _let_51 _let_58))) (let ((_let_60 (or _let_47 _let_22 _let_54 _let_59))) (let ((_let_61 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (io_tptp.aReductOfIn0_3 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 i_tptp.xR_10)) (not (io_tptp.sdtmndtplgtdt0_4 W3 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141)))))) (let ((_let_62 (not _let_61))) (let ((_let_63 (io_tptp.aReductOfIn0_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 i_tptp.xR_10))) (let ((_let_64 (or _let_63 _let_62))) (let ((_let_65 (= _let_56 _let_64))) (let ((_let_66 (or _let_47 _let_22 _let_54 _let_65))) (let ((_let_67 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_68 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141))) (let ((_let_69 (not _let_67))) (let ((_let_70 (or _let_69 _let_22 _let_38 _let_54 _let_34 _let_50 _let_68))) (let ((_let_71 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72))) (let ((_let_72 (or))) (let ((_let_73 (REFL :args (_let_39)))) (let ((_let_74 (io_tptp.sdtmndtplgtdt0_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_75 (not _let_74))) (let ((_let_76 (io_tptp.aReductOfIn0_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_24 _let_77 _let_75))) (let ((_let_79 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (io_tptp.aReductOfIn0_3 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10)) (not (io_tptp.sdtmndtplgtdt0_4 W3 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))))) (let ((_let_80 (not _let_78))) (let ((_let_81 (not _let_79))) (let ((_let_82 (io_tptp.aReductOfIn0_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (io_tptp.sdtmndtplgtdt0_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_85 (= _let_84 _let_83))) (let ((_let_86 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_22 _let_87 _let_85))) (let ((_let_91 (forall ((W0 $$unsorted) (b_W1 it_4_$$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (io_tptp.aRewritingSystem0_2 b_W1)) (not (tptp.aElement0 W2)) (= (io_tptp.sdtmndtplgtdt0_4 W0 b_W1 W2) (or (io_tptp.aReductOfIn0_3 W2 W0 b_W1) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (io_tptp.aReductOfIn0_3 W3 W0 b_W1)) (not (io_tptp.sdtmndtplgtdt0_4 W3 b_W1 W2))))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aRewritingSystem0 W1)) (not (tptp.aElement0 W2)) (= (tptp.sdtmndtplgtdt0 W0 W1 W2) (or (tptp.aReductOfIn0 W2 W0 W1) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aReductOfIn0 W3 W0 W1)) (not (tptp.sdtmndtplgtdt0 W3 W1 W2))))))))) _let_91))))))) (let ((_let_93 (_let_91))) (let ((_let_94 ((io_tptp.sdtmndtplgtdt0_4 W0 b_W1 W2)))) (let ((_let_95 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 i_tptp.xR_10 W3)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 W3)))))) (let ((_let_96 (not _let_95))) (let ((_let_97 (forall ((W3 $$unsorted) (W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aElement0 W4)) (not (tptp.aElement0 W5)) (not (io_tptp.sdtmndtasgtdt0_5 W3 i_tptp.xR_10 W4)) (not (io_tptp.sdtmndtasgtdt0_5 W3 i_tptp.xR_10 W5)) (not (tptp.iLess0 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (forall ((W6 $$unsorted)) (or (not (tptp.aElement0 W6)) (not (io_tptp.sdtmndtasgtdt0_5 W4 i_tptp.xR_10 W6)) (not (io_tptp.sdtmndtasgtdt0_5 W5 i_tptp.xR_10 W6))))))))) (let ((_let_98 (not _let_97))) (let ((_let_99 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_100 (not _let_99))) (let ((_let_101 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_89 _let_87 _let_69 _let_102 _let_100 _let_98 _let_96))) (let ((_let_104 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (not (io_tptp.sdtmndtasgtdt0_5 W0 i_tptp.xR_10 W1)) (not (io_tptp.sdtmndtasgtdt0_5 W0 i_tptp.xR_10 W2)) (not (forall ((W3 $$unsorted) (W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (tptp.aElement0 W4)) (not (tptp.aElement0 W5)) (not (io_tptp.sdtmndtasgtdt0_5 W3 i_tptp.xR_10 W4)) (not (io_tptp.sdtmndtasgtdt0_5 W3 i_tptp.xR_10 W5)) (not (tptp.iLess0 W3 W0)) (not (forall ((W6 $$unsorted)) (or (not (tptp.aElement0 W6)) (not (io_tptp.sdtmndtasgtdt0_5 W4 i_tptp.xR_10 W6)) (not (io_tptp.sdtmndtasgtdt0_5 W5 i_tptp.xR_10 W6)))))))) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (io_tptp.sdtmndtasgtdt0_5 W1 i_tptp.xR_10 W3)) (not (io_tptp.sdtmndtasgtdt0_5 W2 i_tptp.xR_10 W3))))))))) (let ((_let_105 (not _let_103))) (let ((_let_106 (not _let_104))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_262 1)) :args ((or _let_41 _let_276))) _let_275 :args (_let_41 false _let_262)))) (let ((_let_279 (io_tptp.sdtmndtplgtdt0_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_280 (not _let_279))) (let ((_let_281 (or _let_89 _let_24 _let_280 _let_42))) (let ((_let_282 (or _let_76 (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (io_tptp.aReductOfIn0_3 W3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 i_tptp.xR_10)) (not (io_tptp.sdtmndtplgtdt0_4 W3 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)))))))) (let ((_let_283 (= _let_279 _let_282))) (let ((_let_284 (or _let_89 _let_22 _let_24 _let_283))) (let ((_let_285 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 1)) (CONG _let_259 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_72)) :args ((or _let_76 _let_78))) _let_258 :args (_let_76 true _let_78)))) (let ((_let_286 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(EQ_RESOLVE (CNF_OR_NEG :args (_let_292 1)) (CONG (REFL :args (_let_292)) (MACRO_SR_PRED_INTRO :args ((= (not _let_291) _let_290))) :args _let_72)) :args ((or _let_290 _let_292))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_295 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_193 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_294)) _let_293 :args (_let_291 false _let_261)) :args (_let_292 true _let_290)) :args (_let_61 false _let_292)) :args (_let_289 true _let_63 false _let_61)) (REORDERING (CNF_EQUIV_POS1 :args (_let_59)) :args ((or _let_52 _let_58 (not _let_59)))) (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_22 _let_69 _let_38 _let_34 _let_54 _let_50 _let_68 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_86 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_256)) _let_26 :args (_let_70 false _let_11)) _let_134 _let_112 (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_22 _let_47 _let_54 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_93)) _let_92 :args (_let_66 false _let_91)) _let_277 _let_112 (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_22 _let_47 _let_54 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_141 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_60 false _let_117)) _let_277 _let_112 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 2)) (CONG _let_288 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_72)) :args ((or _let_49 _let_55))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 1)) (CONG _let_288 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_72)) :args ((or _let_51 _let_55))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG _let_288 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_72)) :args ((or _let_53 _let_55))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_287)) :args _let_287)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) (REFL :args ((not _let_55))) :args _let_72)) (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_24 _let_45 _let_47 _let_46 _let_38 _let_36 _let_44 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_86 QUANTIFIERS_INST_E_MATCHING _let_252)) :args _let_250)) _let_249 :args (_let_48 false _let_97)) _let_286 _let_278 _let_277 _let_260 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 2)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_72)) :args ((or _let_33 _let_39))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_72)) :args ((or _let_35 _let_39))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_72)) :args ((or _let_37 _let_39))) :args (_let_39 true _let_57 true _let_71 true _let_56 true _let_64 false _let_58 false _let_68 false _let_70 false _let_67 false _let_21 false _let_65 false _let_66 false _let_40 false _let_21 false _let_59 false _let_60 false _let_40 false _let_21 false _let_49 false _let_51 false _let_53 true _let_55 true _let_43 false _let_48 false _let_42 false _let_41 false _let_40 false _let_23 false _let_33 false _let_35 false _let_37)) :args (_let_32 false _let_39)))) (let ((_let_328 (_let_32))) (let ((_let_329 (or _let_18 _let_14 _let_29))) (let ((_let_330 (forall ((W6 $$unsorted)) (or (not (tptp.aElement0 W6)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160 i_tptp.xR_10 W6)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 i_tptp.xR_10 W6)))))) (let ((_let_331 (not _let_329))) (let ((_let_332 (not _let_330))) (let ((_let_333 (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160))) (let ((_let_334 (not _let_333))) (let ((_let_335 (or _let_152 _let_20 _let_69 _let_334 _let_178 _let_177 _let_332))) (let ((_let_336 (or _let_20 _let_334 _let_16))) (let ((_let_337 (forall ((W4 $$unsorted)) (or (not (tptp.aElement0 W4)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 i_tptp.xR_10 W4)) (not (io_tptp.sdtmndtasgtdt0_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 W4)))))) (let ((_let_338 (not _let_336))) (let ((_let_339 (not _let_337))) (let ((_let_340 (or _let_89 _let_152 _let_24 _let_150 _let_77 _let_339))) (let ((_let_341 (or _let_89 _let_24 _let_69 _let_77 _let_142 _let_325))) (let ((_let_342 (MACRO_RESOLUTION_TRUST _let_222 (MACRO_RESOLUTION_TRUST _let_219 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_341)) :args ((or _let_89 _let_69 _let_142 _let_24 _let_77 _let_325 (not _let_341)))) _let_111 _let_134 _let_260 _let_285 _let_327 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_200)) _let_199 :args (_let_341 false _let_191)) :args (_let_142 false _let_88 false _let_67 false _let_23 false _let_76 false _let_32 false _let_341)) _let_218 :args (_let_145 true _let_141 false _let_146)) :args (_let_220 true _let_144)))) (let ((_let_343 (MACRO_RESOLUTION_TRUST _let_225 _let_342 :args (_let_149 true _let_153)))) (let ((_let_344 (MACRO_RESOLUTION_TRUST _let_224 _let_342 :args (_let_151 true _let_153)))) (let ((_let_345 (_let_339))) (let ((_let_346 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_345)) :args _let_345)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_339) _let_337))) (REFL :args (_let_338)) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_340)) :args ((or _let_89 _let_24 _let_77 _let_152 _let_150 _let_339 (not _let_340)))) _let_111 _let_260 _let_285 _let_344 _let_343 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 QUANTIFIERS_INST_E_MATCHING ((not (= (io_tptp.aReductOfIn0_3 W3 W1 i_tptp.xR_10) false)) _let_201))) :args _let_200)) _let_199 :args (_let_340 false _let_191)) :args (_let_339 false _let_88 false _let_23 false _let_76 false _let_151 false _let_149 false _let_340)) :args (_let_338 true _let_337)))) (let ((_let_347 (REFL :args (_let_336)))) (let ((_let_348 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_336 0)) (CONG _let_347 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_72)) :args ((or _let_19 _let_336))) _let_346 :args (_let_19 true _let_336)))) (let ((_let_349 (_let_332))) (let ((_let_350 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_349)) :args _let_349)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_332) _let_330))) (REFL :args (_let_331)) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_335)) :args ((or _let_69 _let_152 _let_177 _let_178 _let_20 _let_334 _let_332 (not _let_335)))) _let_134 _let_344 (MACRO_RESOLUTION_TRUST _let_248 _let_111 _let_344 (MACRO_RESOLUTION_TRUST _let_234 (MACRO_RESOLUTION_TRUST _let_231 _let_343 :args (_let_158 false _let_149)) (MACRO_RESOLUTION_TRUST _let_230 _let_112 _let_111 _let_344 _let_229 :args (_let_160 false _let_21 false _let_88 false _let_151 false _let_161)) :args (_let_159 false _let_158 false _let_160)) _let_247 :args (_let_172 false _let_88 false _let_151 false _let_159 false _let_174)) (MACRO_RESOLUTION_TRUST _let_235 (MACRO_RESOLUTION_TRUST _let_232 (MACRO_RESOLUTION_TRUST _let_226 _let_342 :args (_let_147 true _let_153)) :args (_let_154 false _let_147)) (MACRO_RESOLUTION_TRUST _let_228 _let_112 _let_134 _let_344 _let_227 :args (_let_156 false _let_21 false _let_67 false _let_151 false _let_157)) :args (_let_155 false _let_154 false _let_156)) _let_348 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_336 1)) (CONG _let_347 (MACRO_SR_PRED_INTRO :args ((= (not _let_334) _let_333))) :args _let_72)) :args ((or _let_333 _let_336))) _let_346 :args (_let_333 true _let_336)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING ((not (= (io_tptp.sdtmndtasgtdt0_5 W3 i_tptp.xR_10 W5) false)) _let_251))) :args _let_250)) _let_249 :args (_let_335 false _let_97)) :args (_let_332 false _let_67 false _let_151 false _let_172 false _let_155 false _let_19 false _let_333 false _let_335)) :args (_let_331 true _let_330)))) (let ((_let_351 (REFL :args (_let_329)))) (let ((_let_352 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_329 0)) (CONG _let_351 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_72)) :args ((or _let_17 _let_329))) _let_350 :args (_let_17 true _let_329)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 i_tptp.xR_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_256)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_22 _let_24 _let_20 _let_16 _let_18 _let_14 _let_12 _let_27))) _let_112 _let_260 _let_348 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_336 2)) (CONG _let_347 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_72)) :args ((or _let_15 _let_336))) _let_346 :args (_let_15 true _let_336)) _let_352 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_329 1)) (CONG _let_351 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_72)) :args ((or _let_13 _let_329))) _let_350 :args (_let_13 true _let_329)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_18 _let_29 _let_30 (not _let_31)))) _let_352 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_329 2)) (CONG _let_351 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_72)) :args ((or _let_28 _let_329))) _let_350 :args (_let_28 true _let_329)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_328) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElement0 W4) false))))) :args _let_328)) _let_327 :args (_let_31 false _let_32)) :args (_let_30 false _let_17 false _let_28 false _let_31)) :args (_let_27 false _let_21 false _let_23 false _let_19 false _let_15 false _let_17 false _let_13 true _let_12)) _let_26 :args (false true _let_25 false _let_11)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) true)) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aReductOfIn0 W2 W0 W1) (tptp.aElement0 W2))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2)) (=> (tptp.sdtmndtplgtdt0 W0 W1 W2) true))) _let_10 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aRewritingSystem0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3)) (=> (and (tptp.sdtmndtplgtdt0 W0 W1 W2) (tptp.sdtmndtplgtdt0 W2 W1 W3)) (tptp.sdtmndtplgtdt0 W0 W1 W3)))) _let_9 _let_8 (forall ((W0 $$unsorted)) (=> (tptp.aRewritingSystem0 W0) (= (tptp.isConfluent0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W1) (tptp.aElement0 W2) (tptp.aElement0 W3) (tptp.sdtmndtasgtdt0 W1 W0 W2) (tptp.sdtmndtasgtdt0 W1 W0 W3)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdtmndtasgtdt0 W2 W0 W4) (tptp.sdtmndtasgtdt0 W3 W0 W4)))))))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 66.32/67.02  )
% 66.32/67.02  % SZS output end Proof for COM015+1
% 66.32/67.02  % cvc5---1.0.5 exiting
% 66.32/67.03  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------