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

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYN756-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 03:35:53 PM UTC 2026

% Result   : Satisfiable 0.11s 0.45s
% Output   : Saturation 0.11s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_56ERROR: Could not build tree for root c_0_63ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_53,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv1(X3) ),
    c_0_51,
    [final] ).

cnf(c_0_54,negated_conjecture,
    ssRr(X1,skf1(X1)),
    clause1,
    [final] ).

cnf(c_0_60,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X1)
    | ~ ssPv4(X2)
    | ssPv3(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]),
    [final] ).

cnf(c_0_63,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv1(X1)
    | ssPv1(X3) ),
    c_0_56,
    [final] ).

cnf(c_0_68,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1) ),
    c_0_59,
    [final] ).

cnf(c_0_69,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv4(skf1(X1))
    | ssPv3(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_54]),
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( ~ ssPv1(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(X1) ),
    c_0_62,
    [final] ).

cnf(c_0_73,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X1) ),
    c_0_64,
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv4(X3) ),
    c_0_67,
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X1)
    | ~ ssPv2(X2)
    | ~ ssPv1(skf1(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_54]),
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( ~ ssPv1(skf1(X1))
    | ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_54]),
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( ~ ssRr(X1,X4)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv4(X1)
    | ssPv1(X4)
    | ssPv3(X3) ),
    c_0_74,
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X1)
    | ~ ssPv4(X2)
    | ~ ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_54]),
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X1)
    | ~ ssPv3(X1)
    | ~ ssPv2(X2)
    | ssPv4(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_54]),
    [final] ).

cnf(c_0_88,negated_conjecture,
    ( ~ ssPv2(skf1(X1))
    | ssPv3(X1)
    | ssPv2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),
    [final] ).

cnf(c_0_94,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X3)
    | ssPv4(X1)
    | ssPv3(X2)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_54]),
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv4(skf1(X1))
    | ~ ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_54]),
    [final] ).

cnf(c_0_101,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssRr(X1,X4)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X4)
    | ssPv4(X3) ),
    c_0_91,
    [final] ).

cnf(c_0_105,negated_conjecture,
    ( ~ ssRr(X1,X4)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv1(X4)
    | ssPv2(X3) ),
    c_0_93,
    [final] ).

cnf(c_0_106,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ssPv4(X1)
    | ssPv3(skf1(X1))
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_94,c_0_54]),
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),
    [final] ).

cnf(c_0_108,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv2(X1)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_54]),
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv1(X1)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1) ),
    c_0_99,
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ~ ssPv2(X3)
    | ssPv4(X2)
    | ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_54]),
    [final] ).

cnf(c_0_112,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X3)
    | ~ ssPv1(X2)
    | ssPv3(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_54]),
    [final] ).

cnf(c_0_113,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ssPv4(X1)
    | ssPv1(X1)
    | ssPv1(X2) ),
    c_0_103,
    [final] ).

cnf(c_0_115,negated_conjecture,
    ( ~ ssRr(X1,X4)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv3(X4) ),
    c_0_104,
    [final] ).

cnf(c_0_117,negated_conjecture,
    ( ~ ssPv2(skf1(X1))
    | ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_54]),c_0_107]),c_0_108]),
    [final] ).

cnf(c_0_118,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv4(skf1(X1))
    | ~ ssPv1(X1)
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_54]),
    [final] ).

cnf(c_0_120,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ~ ssPv2(X2)
    | ssPv4(skf1(X1))
    | ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_111,c_0_54]),
    [final] ).

cnf(c_0_121,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv1(skf1(X1))
    | ssPv3(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_54]),
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv4(X1)
    | ssPv1(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_113,c_0_54]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X3)
    | ssPv4(X2) ),
    c_0_114,
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ssPv3(X1)
    | ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_54]),c_0_117]),
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv2(X1)
    | ssPv4(X2)
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_123,c_0_54]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ssPv3(X1)
    | ssPv3(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_54]),c_0_125]),
    [final] ).

cnf(c_0_134,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv4(skf1(X1))
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_129,c_0_54]),
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( ~ ssPv2(skf1(X1))
    | ssPv3(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_54]),c_0_131]),
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X3) ),
    c_0_132,
    [final] ).

cnf(c_0_141,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssPv2(X1)
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_137,c_0_54]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( ~ ssPv3(skf1(X1))
    | ~ ssPv2(X1)
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_54]),
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv3(skf1(X1))
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_134]),c_0_108]),c_0_135]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( ~ ssRr(X4,X3)
    | ~ ssRr(X4,X2)
    | ~ ssRr(X4,X1)
    | ~ ssPv4(X3)
    | ~ ssPv1(X2)
    | ssPv2(X1) ),
    inference(csr,[status(thm)],[c_0_149,c_0_144]),
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ssPv1(X3)
    | ssPv4(X2) ),
    c_0_153,
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X3)
    | ~ ssPv1(X2)
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[c_0_154,c_0_155]),
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X1)
    | ssPv3(X3) ),
    c_0_159,
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ssPv3(X3)
    | ssPv4(X2) ),
    c_0_160,
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv1(X3)
    | ssPv3(X2) ),
    c_0_161,
    [final] ).

cnf(c_0_174,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssPv1(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_54]),
    [final] ).

cnf(c_0_176,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssRr(X1,X4)
    | ~ ssPv3(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X4) ),
    c_0_164,
    [final] ).

cnf(c_0_179,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ssPv1(X3)
    | ssPv3(X2) ),
    c_0_167,
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X1)
    | ~ ssPv4(X2)
    | ssPv3(skf1(X1))
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_54]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ~ ssPv1(X1)
    | ssPv4(X2)
    | ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_169,c_0_54]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X1)
    | ssPv3(X2) ),
    c_0_170,
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( ~ ssRr(X1,X4)
    | ~ ssPv3(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv1(X1)
    | ssPv2(X4) ),
    c_0_171,
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(X1)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2) ),
    c_0_172,
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv1(X1)
    | ssPv3(X1)
    | ssPv3(X2)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_173,c_0_54]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssPv2(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_174,c_0_117]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv2(skf1(X1))
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_134]),c_0_108]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X3)
    | ~ ssPv3(X2)
    | ~ ssPv2(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_176,c_0_54]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_95,c_0_178]),
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X1)
    | ~ ssPv1(X1)
    | ssPv3(X2)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_179,c_0_54]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv4(skf1(X1))
    | ssPv3(skf1(X1))
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_54]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv1(X1)
    | ssPv4(skf1(X1))
    | ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_181,c_0_54]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ ssPv4(X1)
    | ssPv3(X1)
    | ssPv3(skf1(X1))
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_182,c_0_54]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X3)
    | ~ ssPv3(X2)
    | ssPv2(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_54]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ssPv1(X1)
    | ssPv1(X3)
    | ssPv4(X2) ),
    c_0_184,
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv2(X1)
    | ~ ssPv1(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_187,c_0_54]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X2) ),
    c_0_188,
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( ~ ssPv1(X1)
    | ssPv3(X1)
    | ssPv3(skf1(X1))
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_189,c_0_54]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv1(X1)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2) ),
    c_0_190,
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv3(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv1(X1) ),
    c_0_191,
    [final] ).

cnf(c_0_212,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2)
    | ssPv4(X1)
    | ssPv2(X3) ),
    c_0_192,
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv3(skf1(X1))
    | ~ ssPv2(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_195,c_0_54]),
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv3(skf1(X1))
    | ssPv2(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_202,c_0_54]),
    [final] ).

cnf(c_0_221,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ssPv4(X2)
    | ssPv1(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_203,c_0_54]),
    [final] ).

cnf(c_0_222,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssRr(X1,X4)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X4)
    | ssPv3(X3) ),
    c_0_204,
    [final] ).

cnf(c_0_223,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X3)
    | ssPv3(X2)
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[c_0_205,c_0_206]),
    [final] ).

cnf(c_0_225,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(X1)
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_208,c_0_54]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv3(X1)
    | ~ ssPv1(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_210,c_0_54]),
    [final] ).

cnf(c_0_229,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ~ ssPv3(X2)
    | ssPv4(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_212,c_0_54]),
    [final] ).

cnf(c_0_230,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X1) ),
    c_0_213,
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X3) ),
    c_0_214,
    [final] ).

cnf(c_0_237,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv2(X1)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_54]),
    [final] ).

cnf(c_0_238,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X3)
    | ~ ssPv1(X2)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_155,c_0_54]),
    [final] ).

cnf(c_0_239,negated_conjecture,
    ( ~ ssPv4(skf1(X1))
    | ~ ssPv3(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_54]),c_0_217]),
    [final] ).

cnf(c_0_240,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv1(X1)
    | ssPv3(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_218]),c_0_126]),c_0_219]),
    [final] ).

cnf(c_0_241,negated_conjecture,
    ( ~ ssPv4(skf1(X1))
    | ~ ssPv3(skf1(X1))
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_54]),c_0_217]),
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ ssPv3(X1)
    | ssPv4(skf1(X1))
    | ssPv1(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_221,c_0_54]),
    [final] ).

cnf(c_0_243,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X1)
    | ~ ssPv2(X3)
    | ssPv3(X2)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_222,c_0_54]),
    [final] ).

cnf(c_0_245,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv2(X1)
    | ~ ssPv1(X1)
    | ssPv3(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv3(skf1(X1))
    | ssPv4(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_229,c_0_54]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssPv2(skf1(X1))
    | ssPv2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_54]),c_0_88]),
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X3) ),
    c_0_231,
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( ~ ssPv2(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X1)
    | ssPv1(X1) ),
    c_0_232,
    [final] ).

cnf(c_0_251,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X1)
    | ssPv2(X3) ),
    c_0_233,
    [final] ).

cnf(c_0_252,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv3(X1)
    | ssPv2(X3) ),
    c_0_234,
    [final] ).

cnf(c_0_253,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv1(X1)
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_235,c_0_54]),
    [final] ).

cnf(c_0_254,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X1)
    | ssPv3(X3) ),
    c_0_236,
    [final] ).

cnf(c_0_255,negated_conjecture,
    ( ~ ssPv4(skf1(X1))
    | ~ ssPv2(X1)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_237,c_0_54]),
    [final] ).

cnf(c_0_256,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv1(skf1(X1))
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_54]),
    [final] ).

cnf(c_0_257,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_119]),c_0_240]),c_0_157]),
    [final] ).

cnf(c_0_258,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv3(skf1(X1))
    | ssPv1(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]),
    [final] ).

cnf(c_0_259,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv2(X1)
    | ~ ssPv2(X2)
    | ssPv3(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_54]),c_0_135]),
    [final] ).

cnf(c_0_260,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ssPv3(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_244,c_0_54]),
    [final] ).

cnf(c_0_261,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(X1)
    | ssPv3(X1)
    | ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_225]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X3)
    | ssPv3(X2)
    | ssPv2(skf1(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_206,c_0_54]),
    [final] ).

cnf(c_0_263,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv2(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_207,c_0_117]),
    [final] ).

cnf(c_0_264,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv3(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_227,c_0_117]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( ~ ssPv4(skf1(X1))
    | ~ ssPv2(X1)
    | ~ ssPv1(X1)
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_54]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv3(X1)
    | ~ ssPv3(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_85]),
    [final] ).

cnf(c_0_267,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ~ ssPv3(X2)
    | ~ ssPv3(skf1(X1))
    | ssPv4(X1)
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_247]),
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ~ ssPv3(X2)
    | ~ ssPv2(X1)
    | ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_249,c_0_54]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv2(skf1(X1))
    | ssPv2(X1)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_54]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X1)
    | ~ ssPv2(X2)
    | ssPv2(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_251,c_0_54]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv2(X1)
    | ~ ssPv2(X2)
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_252,c_0_54]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( ~ ssPv4(skf1(X1))
    | ~ ssPv1(X1)
    | ssPv3(X1)
    | ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_253,c_0_54]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssPv1(X1)
    | ssPv3(skf1(X1))
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_254,c_0_54]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( ~ ssPv4(X1)
    | ssPv3(skf1(X1))
    | ssPv2(X1)
    | ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_178]),c_0_201]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN756-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 11:21:14 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.45  % Version: 3.5.1
% 0.11/0.45  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45  % Starting sh5l with 300s (1) cores
% 0.11/0.45  % new_bool_3 with pid 2992023 completed with status 1
% 0.11/0.45  % Result found by new_bool_3
% 0.11/0.45  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45  % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.11/0.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45  % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45  % SubtermCWHack with pid 2992028 completed with status 1
% 0.11/0.45  % Result found by SubtermCWHack
% 0.11/0.45  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45  % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.11/0.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45  % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45  % Preprocessing time       : 0.001 s
% 0.11/0.45  
% 0.11/0.45  % No proof found!
% 0.11/0.45  % SZS status Satisfiable
% 0.11/0.45  % SZS output start Saturation
% See solution above
% 0.11/0.45  % Parsed axioms                        : 51
% 0.11/0.45  % Removed by relevancy pruning/SinE    : 0
% 0.11/0.45  % Initial clauses                      : 51
% 0.11/0.45  % Removed in clause preprocessing      : 0
% 0.11/0.45  % Initial clauses in saturation        : 51
% 0.11/0.45  % Processed clauses                    : 277
% 0.11/0.45  % ...of these trivial                  : 0
% 0.11/0.45  % ...subsumed                          : 92
% 0.11/0.45  % ...remaining for further processing  : 185
% 0.11/0.45  % Other redundant clauses eliminated   : 0
% 0.11/0.45  % Clauses deleted for lack of memory   : 0
% 0.11/0.45  % Backward-subsumed                    : 66
% 0.11/0.45  % Backward-rewritten                   : 0
% 0.11/0.45  % Generated clauses                    : 392
% 0.11/0.45  % ...of the previous two non-redundant : 240
% 0.11/0.45  % ...aggressively subsumed             : 0
% 0.11/0.45  % Contextual simplify-reflections      : 38
% 0.11/0.45  % Paramodulations                      : 392
% 0.11/0.45  % Factorizations                       : 0
% 0.11/0.45  % NegExts                              : 0
% 0.11/0.45  % Equation resolutions                 : 0
% 0.11/0.45  % Disequality decompositions           : 0
% 0.11/0.45  % Total rewrite steps                  : 0
% 0.11/0.45  % ...of those cached                   : 0
% 0.11/0.45  % Propositional unsat checks           : 0
% 0.11/0.45  %    Propositional check models        : 0
% 0.11/0.45  %    Propositional check unsatisfiable : 0
% 0.11/0.45  %    Propositional clauses             : 0
% 0.11/0.45  %    Propositional clauses after purity: 0
% 0.11/0.45  %    Propositional unsat core size     : 0
% 0.11/0.45  %    Propositional preprocessing time  : 0.000
% 0.11/0.45  %    Propositional encoding time       : 0.000
% 0.11/0.45  %    Propositional solver time         : 0.000
% 0.11/0.45  %    Success case prop preproc time    : 0.000
% 0.11/0.45  %    Success case prop encoding time   : 0.000
% 0.11/0.45  %    Success case prop solver time     : 0.000
% 0.11/0.45  % Current number of processed clauses  : 119
% 0.11/0.45  %    Positive orientable unit clauses  : 1
% 0.11/0.45  %    Positive unorientable unit clauses: 0
% 0.11/0.45  %    Negative unit clauses             : 0
% 0.11/0.45  %    Non-unit-clauses                  : 118
% 0.11/0.45  % Current number of unprocessed clauses: 0
% 0.11/0.45  % ...number of literals in the above   : 0
% 0.11/0.45  % Current number of archived formulas  : 0
% 0.11/0.45  % Current number of archived clauses   : 66
% 0.11/0.45  % Clause-clause subsumption calls (NU) : 1138
% 0.11/0.45  % Rec. Clause-clause subsumption calls : 624
% 0.11/0.45  % Non-unit clause-clause subsumptions  : 196
% 0.11/0.45  % Unit Clause-clause subsumption calls : 0
% 0.11/0.45  % Rewrite failures with RHS unbound    : 0
% 0.11/0.45  % BW rewrite match attempts            : 0
% 0.11/0.45  % BW rewrite match successes           : 0
% 0.11/0.45  % Condensation attempts                : 0
% 0.11/0.45  % Condensation successes               : 0
% 0.11/0.45  % Termbank termtop insertions          : 11264
% 0.11/0.45  % Search garbage collected termcells   : 200
% 0.11/0.45  
% 0.11/0.45  % -------------------------------------------------
% 0.11/0.45  % User time                : 0.012 s
% 0.11/0.45  % System time              : 0.003 s
% 0.11/0.45  % Total time               : 0.014 s
% 0.11/0.45  % Maximum resident set size: 3672 pages
% 0.11/0.45  
% 0.11/0.45  % -------------------------------------------------
% 0.11/0.45  % User time                : 0.013 s
% 0.11/0.45  % System time              : 0.006 s
% 0.11/0.45  % Total time               : 0.018 s
% 0.11/0.45  % Maximum resident set size: 4608 pages
% 0.11/0.45  % E exiting
%------------------------------------------------------------------------------