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E-SAT---3.5.1.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYN516+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:34:51 PM UTC 2026

% Result   : CounterSatisfiable 0.14s 10.45s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_25ERROR: Could not build tree for root c_0_123ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_11,negated_conjecture,
    ( c5_0
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_17,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
    [final] ).

cnf(c_0_19,negated_conjecture,
    ( ~ c5_0
    | ~ c2_1(a43)
    | c3_1(a44) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_20,negated_conjecture,
    ( ndr1_1(X1)
    | c2_1(X1)
    | epred7_0 ),
    inference(split_equiv,[status(thm)],[c_0_13]),
    [final] ).

cnf(c_0_21,negated_conjecture,
    ( ~ c5_0
    | ~ c2_1(a43)
    | c4_1(a44) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_22,negated_conjecture,
    ( ~ c5_0
    | ~ c2_1(a43)
    | ndr1_1(a44) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_23,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c5_2(X1,X2)
    | ~ c4_1(X1)
    | c4_2(X1,X2)
    | c1_0
    | c2_2(X1,X2) ),
    inference(csr,[status(thm)],[c_0_14,c_0_15]),
    [final] ).

cnf(c_0_24,negated_conjecture,
    ( c4_2(X1,a37)
    | c4_1(X1)
    | c5_1(X1)
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_16]),c_0_17])]),
    [final] ).

cnf(c_0_27,negated_conjecture,
    ( ~ ndr1_1(X1)
    | c3_2(X1,X2)
    | c3_2(X1,a36)
    | c2_2(X1,X2)
    | c5_1(X1)
    | epred3_0 ),
    inference(split_equiv,[status(thm)],[c_0_18]),
    [final] ).

cnf(c_0_28,negated_conjecture,
    ( ~ c5_0
    | ndr1_1(a43)
    | c3_1(a44)
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]),
    [final] ).

cnf(c_0_29,negated_conjecture,
    ( ~ c5_0
    | ~ c5_1(a43)
    | c3_1(a44) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_30,negated_conjecture,
    ( ~ c5_0
    | ndr1_1(a43)
    | c4_1(a44)
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_20]),
    [final] ).

cnf(c_0_31,negated_conjecture,
    ( ~ c5_0
    | ~ c5_1(a43)
    | c4_1(a44) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_32,negated_conjecture,
    ( ~ c5_0
    | ndr1_1(a44)
    | ndr1_1(a43)
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_22,c_0_20]),
    [final] ).

cnf(c_0_33,negated_conjecture,
    ( ~ c5_0
    | ~ c5_1(a43)
    | ndr1_1(a44) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_34,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c5_2(X1,X2)
    | c4_2(X1,X2)
    | c4_2(X1,a37)
    | c1_0
    | c2_2(X1,X2)
    | c5_1(X1)
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]),
    [final] ).

cnf(c_0_35,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | c5_2(a31,a32) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_36,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | ndr1_1(a31) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_37,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | ~ c4_2(a31,a32) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_38,plain,
    ( ~ epred1_0
    | c3_1(a30)
    | c5_2(a31,a32) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_39,plain,
    ( ~ epred1_0
    | c3_1(a30)
    | ndr1_1(a31) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_40,plain,
    ( ~ epred1_0
    | ~ c4_2(a31,a32)
    | c3_1(a30) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_41,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c4_2(X1,X2)
    | c4_0
    | c5_0
    | c3_2(X1,X2)
    | c4_2(X1,a27)
    | c5_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17])]),
    [final] ).

cnf(c_0_42,negated_conjecture,
    ( c3_2(X1,a37)
    | c4_1(X1)
    | c5_1(X1)
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_26]),c_0_17])]),
    [final] ).

cnf(c_0_45,negated_conjecture,
    ( ~ c5_0
    | c3_2(a43,X1)
    | c3_2(a43,a36)
    | c2_2(a43,X1)
    | c3_1(a44)
    | epred3_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
    [final] ).

cnf(c_0_46,negated_conjecture,
    ( ~ c5_0
    | c3_2(a43,X1)
    | c3_2(a43,a36)
    | c2_2(a43,X1)
    | c4_1(a44)
    | epred3_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30]),c_0_31]),
    [final] ).

cnf(c_0_47,negated_conjecture,
    ( ~ c5_0
    | ndr1_1(a44)
    | c3_2(a43,X1)
    | c3_2(a43,a36)
    | c2_2(a43,X1)
    | epred3_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_33]),
    [final] ).

cnf(c_0_48,negated_conjecture,
    ( c3_0
    | ndr1_1(a39)
    | ndr1_1(a41) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_49,negated_conjecture,
    ( ~ c1_0
    | ~ c4_0
    | ndr1_1(a34) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_68,plain,
    ( ~ c1_1(a30)
    | ~ epred1_0
    | c4_2(a31,a37)
    | c1_0
    | c2_2(a31,a32)
    | c5_1(a31)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_69,plain,
    ( ~ epred1_0
    | c4_2(a31,a37)
    | c1_0
    | c2_2(a31,a32)
    | c3_1(a30)
    | c5_1(a31)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_39]),c_0_40]),
    [final] ).

cnf(c_0_70,negated_conjecture,
    ( ~ ndr1_1(X1)
    | c4_0
    | c5_0
    | c3_2(X1,a37)
    | c4_2(X1,a27)
    | c5_2(X1,a37)
    | c4_1(X1)
    | c5_1(X1)
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_24]),
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c5_2(X1,X2)
    | c3_2(X1,a37)
    | c4_2(X1,X2)
    | c1_0
    | c2_2(X1,X2)
    | c5_1(X1)
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_42]),
    [final] ).

cnf(c_0_72,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c3_2(X1,X2)
    | ~ c5_2(X1,X2)
    | ~ c1_2(X1,X2)
    | c2_2(X1,a29)
    | c3_1(X1)
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_43]),c_0_17])]),
    [final] ).

cnf(c_0_73,negated_conjecture,
    ( ~ c3_2(a41,a42)
    | c3_0
    | c1_2(a39,a40) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_74,negated_conjecture,
    ( ~ c3_2(a41,a42)
    | c3_0
    | ndr1_1(a39) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_75,negated_conjecture,
    ( c3_0
    | c1_2(a39,a40)
    | c5_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( c3_0
    | ndr1_1(a39)
    | c5_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( c3_0
    | c1_2(a39,a40)
    | c4_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_78,negated_conjecture,
    ( c3_0
    | ndr1_1(a39)
    | c4_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( ~ c2_1(a41)
    | c3_0
    | c1_2(a39,a40) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( ~ c2_1(a41)
    | c3_0
    | ndr1_1(a39) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_81,negated_conjecture,
    ( c3_0
    | c1_2(a39,a40)
    | ndr1_1(a41) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_82,negated_conjecture,
    ( ~ c2_2(X1,a37)
    | c4_1(X1)
    | c5_1(X1)
    | epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_44]),c_0_17])]),
    [final] ).

cnf(c_0_83,negated_conjecture,
    ( c3_2(a43,X1)
    | c3_2(a43,a36)
    | c2_2(a43,X1)
    | c3_1(a44)
    | epred1_0
    | epred3_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_11]),
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( c3_2(a43,X1)
    | c3_2(a43,a36)
    | c2_2(a43,X1)
    | c4_1(a44)
    | epred1_0
    | epred3_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_11]),
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( ndr1_1(a44)
    | c3_2(a43,X1)
    | c3_2(a43,a36)
    | c2_2(a43,X1)
    | epred1_0
    | epred3_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_11]),
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( ndr1_1(a39)
    | c3_2(a41,X1)
    | c3_2(a41,a36)
    | c2_2(a41,X1)
    | c5_1(a41)
    | c3_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_48]),
    [final] ).

cnf(c_0_87,negated_conjecture,
    ( ~ c4_0
    | ~ c1_0
    | c3_2(a34,X1)
    | c3_2(a34,a36)
    | c2_2(a34,X1)
    | c5_1(a34)
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_49]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ c1_1(a30)
    | c4_0
    | c5_0
    | c3_2(a31,a37)
    | c4_2(a31,a27)
    | c5_2(a31,a37)
    | c1_0
    | c2_2(a31,a32)
    | c5_1(a31)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_68]),c_0_36]),c_0_11]),
    [final] ).

cnf(c_0_124,negated_conjecture,
    ( c4_0
    | c5_0
    | c3_2(a31,a37)
    | c4_2(a31,a27)
    | c5_2(a31,a37)
    | c1_0
    | c2_2(a31,a32)
    | c3_1(a30)
    | c5_1(a31)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_69]),c_0_39]),c_0_11]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( c4_0
    | c5_0
    | ndr1_1(a39)
    | c3_2(a41,a37)
    | c4_2(a41,a27)
    | c5_2(a41,a37)
    | c4_1(a41)
    | c5_1(a41)
    | c3_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_48]),
    [final] ).

cnf(c_0_126,plain,
    ( ~ c1_1(a30)
    | ~ epred1_0
    | c3_2(a31,a37)
    | c1_0
    | c2_2(a31,a32)
    | c5_1(a31)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_35]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_127,plain,
    ( ~ epred1_0
    | c3_2(a31,a37)
    | c1_0
    | c2_2(a31,a32)
    | c3_1(a30)
    | c5_1(a31)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_38]),c_0_39]),c_0_40]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ c3_2(a41,a42)
    | ~ c3_2(a39,a40)
    | ~ c5_2(a39,a40)
    | c2_2(a39,a29)
    | c3_1(a39)
    | c3_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( ~ c3_2(a39,a40)
    | ~ c5_2(a39,a40)
    | c5_2(a41,a42)
    | c2_2(a39,a29)
    | c3_1(a39)
    | c3_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_75]),c_0_76]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( ~ c3_2(a39,a40)
    | ~ c5_2(a39,a40)
    | c4_2(a41,a42)
    | c2_2(a39,a29)
    | c3_1(a39)
    | c3_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_77]),c_0_78]),
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( ~ c3_2(a39,a40)
    | ~ c5_2(a39,a40)
    | ~ c2_1(a41)
    | c2_2(a39,a29)
    | c3_1(a39)
    | c3_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_132,negated_conjecture,
    ( ~ c3_2(a39,a40)
    | ~ c5_2(a39,a40)
    | ndr1_1(a41)
    | c2_2(a39,a29)
    | c3_1(a39)
    | c3_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_81]),c_0_48]),
    [final] ).

cnf(c_0_133,negated_conjecture,
    ( c3_2(a43,a36)
    | c3_2(a43,a37)
    | c4_1(a43)
    | c3_1(a44)
    | c5_1(a43)
    | epred1_0
    | epred3_0
    | epred7_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]),
    [final] ).

cnf(c_0_134,negated_conjecture,
    ( c3_2(a43,a36)
    | c3_2(a43,a37)
    | c4_1(a43)
    | c4_1(a44)
    | c5_1(a43)
    | epred1_0
    | epred3_0
    | epred7_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_84]),
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( ndr1_1(a44)
    | c3_2(a43,a36)
    | c3_2(a43,a37)
    | c4_1(a43)
    | c5_1(a43)
    | epred1_0
    | epred3_0
    | epred7_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_85]),
    [final] ).

cnf(c_0_136,negated_conjecture,
    ( ndr1_1(a39)
    | c3_2(a41,a36)
    | c3_2(a41,a37)
    | c4_1(a41)
    | c5_1(a41)
    | c3_0
    | epred3_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_86]),
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( ~ c4_0
    | ~ c1_0
    | c3_2(a34,a36)
    | c3_2(a34,a37)
    | c4_1(a34)
    | c5_1(a34)
    | epred3_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_87]),
    [final] ).

cnf(c_0_138,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c3_2(X1,X2)
    | ~ c5_2(X1,X2)
    | ~ c1_2(X1,X2)
    | ~ c1_2(X1,a29)
    | c3_1(X1)
    | epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_88]),c_0_17])]),
    [final] ).

cnf(c_0_139,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c4_2(X1,X2)
    | ~ c5_2(X1,a27)
    | c4_0
    | c5_0
    | c3_2(X1,X2)
    | c5_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_17])]),
    [final] ).

cnf(c_0_140,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c4_2(X1,X2)
    | ~ c1_2(X1,a27)
    | c4_0
    | c5_0
    | c3_2(X1,X2)
    | c5_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_17])]),
    [final] ).

cnf(c_0_141,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c1_2(X1,a36)
    | c3_2(X1,X2)
    | c2_2(X1,X2)
    | c5_1(X1)
    | epred5_0 ),
    inference(split_equiv,[status(thm)],[c_0_91]),
    [final] ).

cnf(c_0_142,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c5_2(X1,a36)
    | c3_2(X1,X2)
    | c2_2(X1,X2)
    | c5_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_92]),
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( ~ c5_1(X1)
    | ~ c3_0
    | c3_2(X1,a38)
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_17])]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( ~ c5_1(X1)
    | ~ c3_0
    | c1_2(X1,a38)
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_17])]),
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( ~ c5_2(X1,a38)
    | ~ c5_1(X1)
    | ~ c3_0
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_17])]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( ~ c5_1(X1)
    | ~ c3_0
    | ndr1_1(X1)
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_17])]),
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( ~ c5_2(X1,a28)
    | c2_1(X1)
    | epred13_0 ),
    inference(split_equiv,[status(thm)],[c_0_97]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    ( ~ c3_2(X1,a28)
    | c2_1(X1)
    | epred12_0 ),
    inference(split_equiv,[status(thm)],[c_0_98]),
    [final] ).

cnf(c_0_149,negated_conjecture,
    ( ~ epred8_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_99,c_0_88]),c_0_97]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    ( ~ epred8_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_100,c_0_88]),c_0_98]),
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( ~ epred6_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_101,c_0_43]),c_0_97]),
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( ~ epred6_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_102,c_0_43]),c_0_98]),
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( ~ epred5_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_103,c_0_44]),c_0_91]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( ~ epred4_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_104,c_0_44]),c_0_92]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( ~ epred5_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_105,c_0_16]),c_0_91]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    ( ~ epred4_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_106,c_0_16]),c_0_92]),
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( ~ epred5_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_107,c_0_26]),c_0_91]),
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( ~ epred4_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_108,c_0_26]),c_0_92]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( ~ epred3_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_109,c_0_44]),c_0_18]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    ( ndr1_1(X1)
    | c4_1(X1)
    | c5_1(X1)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_110]),c_0_17])]),
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( ~ epred3_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_111,c_0_16]),c_0_18]),
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( ~ epred3_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_112,c_0_26]),c_0_18]),
    [final] ).

cnf(c_0_163,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_113,c_0_88]),c_0_13]),
    [final] ).

cnf(c_0_164,negated_conjecture,
    ( ~ epred6_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_114,c_0_43]),c_0_13]),
    [final] ).

cnf(c_0_165,negated_conjecture,
    ( ~ epred2_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_115,c_0_110]),c_0_91]),
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( ~ epred2_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_116,c_0_110]),c_0_92]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( ~ epred2_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_117,c_0_110]),c_0_18]),
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( ~ c3_2(a41,a42)
    | ~ c5_2(a39,X1)
    | c1_2(a39,X1)
    | c3_0 ),
    inference(csr,[status(thm)],[c_0_118,c_0_74]),
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( ~ c5_2(a39,X1)
    | c5_2(a41,a42)
    | c1_2(a39,X1)
    | c3_0 ),
    inference(csr,[status(thm)],[c_0_119,c_0_76]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( ~ c5_2(a39,X1)
    | c4_2(a41,a42)
    | c1_2(a39,X1)
    | c3_0 ),
    inference(csr,[status(thm)],[c_0_120,c_0_78]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( ~ c5_2(a39,X1)
    | ~ c2_1(a41)
    | c1_2(a39,X1)
    | c3_0 ),
    inference(csr,[status(thm)],[c_0_121,c_0_80]),
    [final] ).

cnf(c_0_172,negated_conjecture,
    ( ~ c5_2(a39,X1)
    | ndr1_1(a41)
    | c1_2(a39,X1)
    | c3_0 ),
    inference(csr,[status(thm)],[c_0_122,c_0_48]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( ~ c3_2(a41,a42)
    | c3_0
    | c2_2(a39,a40) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_174,negated_conjecture,
    ( c3_0
    | c2_2(a39,a40)
    | c5_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_175,negated_conjecture,
    ( c3_0
    | c2_2(a39,a40)
    | c4_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_176,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | ~ c5_2(a31,a33) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_177,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | ~ c4_2(a31,a33) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( ~ c5_0
    | ~ c5_1(a43)
    | ~ c2_2(a44,a45) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_179,negated_conjecture,
    ( ~ c5_0
    | ~ c5_1(a43)
    | ~ c4_2(a44,a45) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( ~ c5_0
    | ~ c2_1(a43)
    | ~ c2_2(a44,a45) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( ~ c5_0
    | ~ c2_1(a43)
    | ~ c4_2(a44,a45) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ c3_1(a47)
    | ~ c1_2(a48,a49)
    | c1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( ~ c3_1(a47)
    | ~ c5_2(a48,a49)
    | c1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_184,plain,
    ( ~ epred1_0
    | ~ c5_2(a31,a33)
    | c3_1(a30) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_185,plain,
    ( ~ epred1_0
    | ~ c4_2(a31,a33)
    | c3_1(a30) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( ~ c3_2(a41,a42)
    | c3_0
    | c2_1(a39) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_187,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | c2_2(a31,a33) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( ~ c5_0
    | ~ c5_1(a43)
    | c1_2(a44,a45) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( ~ c5_0
    | ~ c2_1(a43)
    | c1_2(a44,a45) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_190,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | c3_2(a31,a32) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( ~ c2_1(a41)
    | c3_0
    | c2_2(a39,a40) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_192,plain,
    ( ~ epred1_0
    | c3_1(a30)
    | c2_2(a31,a33) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_193,plain,
    ( ~ epred1_0
    | c3_1(a30)
    | c3_2(a31,a32) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( c3_0
    | c2_1(a39)
    | c5_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( c3_0
    | c2_1(a39)
    | c4_2(a41,a42) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( c3_0
    | c2_2(a39,a40)
    | ndr1_1(a41) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ c1_0
    | ~ c4_0
    | ~ c5_2(a34,a35) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ c1_0
    | ~ c4_0
    | ~ c4_2(a34,a35) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ c1_0
    | ~ c4_0
    | c1_2(a34,a35) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_200,plain,
    ( ~ epred1_0
    | ~ c1_1(a30)
    | c1_1(a31) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ c2_1(a41)
    | c3_0
    | c2_1(a39) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ c3_1(a47)
    | c1_0
    | c4_1(a48) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ c3_1(a47)
    | c1_0
    | ndr1_1(a48) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_204,plain,
    ( ~ epred1_0
    | c3_1(a30)
    | c1_1(a31) ),
    inference(split_conjunct,[status(thm)],[c_0_6]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( c3_0
    | c2_1(a39)
    | ndr1_1(a41) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ c1_0
    | ~ c4_0
    | ~ c1_1(a34) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ c1_0
    | ~ c4_0
    | ~ c2_1(a34) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( ~ c2_0
    | ~ c3_1(a46) ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( ~ c2_0
    | ~ c4_0
    | c5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN516+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/10.37  % Computer : n010.cluster.edu
% 0.09/10.37  % Model    : x86_64 x86_64
% 0.09/10.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37  % Memory   : 8046.5625MB
% 0.09/10.37  % OS       : Linux 6.8.0-71-generic
% 0.09/10.37  % CPULimit : 300
% 0.09/10.37  % WCLimit  : 300
% 0.09/10.37  % DateTime : Mon Sep 21 11:05:22 UTC 2026
% 0.09/10.37  % CPUTime  : 
% 0.09/10.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/10.41  Running first-order theorem proving
% 0.14/10.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/10.45  % Version: 3.5.1
% 0.14/10.45  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.14/10.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/10.45  % Starting new_bool_3 with 300s (1) cores
% 0.14/10.45  % Starting new_bool_1 with 300s (1) cores
% 0.14/10.45  % Starting sh5l with 300s (1) cores
% 0.14/10.45  % SAT001_MinMin_p005000_rr_RG with pid 736366 completed with status 1
% 0.14/10.45  % Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/10.45  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.14/10.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/10.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.45  % No SInE strategy applied
% 0.14/10.45  % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.14/10.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.45  % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.45  % Starting SAT001_MinMin_p005000_rr_RG with 151s (1) cores
% 0.14/10.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.14/10.45  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.14/10.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.14/10.45  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 736373 completed with status 1
% 0.14/10.45  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 0.14/10.45  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.14/10.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/10.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.45  % No SInE strategy applied
% 0.14/10.45  % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.14/10.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.45  % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.45  % Starting SAT001_MinMin_p005000_rr_RG with 151s (1) cores
% 0.14/10.45  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.14/10.45  % Preprocessing time       : 0.001 s
% 0.14/10.45  
% 0.14/10.45  % No proof found!
% 0.14/10.45  % SZS status CounterSatisfiable
% 0.14/10.45  % SZS output start Saturation
% See solution above
% 0.14/10.45  % Parsed axioms                        : 1
% 0.14/10.45  % Removed by relevancy pruning/SinE    : 0
% 0.14/10.45  % Initial clauses                      : 142
% 0.14/10.45  % Removed in clause preprocessing      : 8
% 0.14/10.45  % Initial clauses in saturation        : 134
% 0.14/10.45  % Processed clauses                    : 219
% 0.14/10.45  % ...of these trivial                  : 0
% 0.14/10.45  % ...subsumed                          : 52
% 0.14/10.45  % ...remaining for further processing  : 167
% 0.14/10.45  % Other redundant clauses eliminated   : 0
% 0.14/10.45  % Clauses deleted for lack of memory   : 0
% 0.14/10.45  % Backward-subsumed                    : 0
% 0.14/10.45  % Backward-rewritten                   : 13
% 0.14/10.45  % Generated clauses                    : 90
% 0.14/10.45  % ...of the previous two non-redundant : 87
% 0.14/10.45  % ...aggressively subsumed             : 0
% 0.14/10.45  % Contextual simplify-reflections      : 28
% 0.14/10.45  % Paramodulations                      : 60
% 0.14/10.45  % Factorizations                       : 0
% 0.14/10.45  % NegExts                              : 0
% 0.14/10.45  % Equation resolutions                 : 0
% 0.14/10.45  % Disequality decompositions           : 0
% 0.14/10.45  % Total rewrite steps                  : 19
% 0.14/10.45  % ...of those cached                   : 18
% 0.14/10.45  % Propositional unsat checks           : 0
% 0.14/10.45  %    Propositional check models        : 0
% 0.14/10.45  %    Propositional check unsatisfiable : 0
% 0.14/10.45  %    Propositional clauses             : 0
% 0.14/10.45  %    Propositional clauses after purity: 0
% 0.14/10.45  %    Propositional unsat core size     : 0
% 0.14/10.45  %    Propositional preprocessing time  : 0.000
% 0.14/10.45  %    Propositional encoding time       : 0.000
% 0.14/10.45  %    Propositional solver time         : 0.000
% 0.14/10.45  %    Success case prop preproc time    : 0.000
% 0.14/10.45  %    Success case prop encoding time   : 0.000
% 0.14/10.45  %    Success case prop solver time     : 0.000
% 0.14/10.45  % Current number of processed clauses  : 136
% 0.14/10.45  %    Positive orientable unit clauses  : 1
% 0.14/10.45  %    Positive unorientable unit clauses: 0
% 0.14/10.45  %    Negative unit clauses             : 0
% 0.14/10.45  %    Non-unit-clauses                  : 135
% 0.14/10.45  % Current number of unprocessed clauses: 0
% 0.14/10.45  % ...number of literals in the above   : 0
% 0.14/10.45  % Current number of archived formulas  : 0
% 0.14/10.45  % Current number of archived clauses   : 13
% 0.14/10.45  % Clause-clause subsumption calls (NU) : 10459
% 0.14/10.45  % Rec. Clause-clause subsumption calls : 1367
% 0.14/10.45  % Non-unit clause-clause subsumptions  : 128
% 0.14/10.45  % Unit Clause-clause subsumption calls : 4
% 0.14/10.45  % Rewrite failures with RHS unbound    : 0
% 0.14/10.45  % BW rewrite match attempts            : 1
% 0.14/10.45  % BW rewrite match successes           : 1
% 0.14/10.45  % Condensation attempts                : 219
% 0.14/10.45  % Condensation successes               : 0
% 0.14/10.45  % Termbank termtop insertions          : 8804
% 0.14/10.45  % Search garbage collected termcells   : 781
% 0.14/10.45  
% 0.14/10.45  % -------------------------------------------------
% 0.14/10.45  % User time                : 0.014 s
% 0.14/10.45  % System time              : 0.004 s
% 0.14/10.45  % Total time               : 0.018 s
% 0.14/10.45  % Maximum resident set size: 3936 pages
% 0.14/10.45  
% 0.14/10.45  % -------------------------------------------------
% 0.14/10.45  % User time                : 0.052 s
% 0.14/10.45  % System time              : 0.019 s
% 0.14/10.45  % Total time               : 0.072 s
% 0.14/10.45  % Maximum resident set size: 4608 pages
% 0.14/10.45  % E exiting
%------------------------------------------------------------------------------