↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYN785-1 : 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 : n009.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 03:36:26 PM UTC 2026

% Result   : Satisfiable 0.21s 5.64s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_41ERROR: Could not build tree for root c_0_53ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_44,negated_conjecture,
    ( ~ ssPv2(X2)
    | ~ ssRr(X2,X3)
    | ~ ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ssPv3(X2)
    | ssPv2(X3) ),
    c_0_41,
    [final] ).

cnf(c_0_45,negated_conjecture,
    ssRr(X1,skf2(X1)),
    clause2,
    [final] ).

cnf(c_0_47,negated_conjecture,
    ( ~ ssPv4(X2)
    | ~ ssRr(X2,X3)
    | ~ ssRr(X1,X2)
    | ssPv3(X2)
    | ssPv3(X3)
    | ssPv4(X1) ),
    c_0_43,
    [final] ).

cnf(c_0_48,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv2(X1)
    | ~ ssPv4(X2)
    | ssPv2(skf2(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]),
    [final] ).

cnf(c_0_49,negated_conjecture,
    ssRr(skf3(X1),X1),
    clause1,
    [final] ).

cnf(c_0_52,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv4(X1)
    | ssPv4(X2)
    | ssPv3(X1)
    | ssPv3(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_45]),
    [final] ).

cnf(c_0_53,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv4(skf3(X1))
    | ssPv2(skf2(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]),
    [final] ).

cnf(c_0_57,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv2(skf3(X1))
    | ~ ssPv4(X2)
    | ssPv2(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_49]),
    [final] ).

cnf(c_0_60,negated_conjecture,
    ( ~ ssPv4(X1)
    | ssPv4(skf3(X1))
    | ssPv3(X1)
    | ssPv3(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_49]),
    [final] ).

cnf(c_0_63,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X1)
    | ssPv3(X3) ),
    c_0_55,
    [final] ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssPv4(X2)
    | ~ ssPv2(X3)
    | ~ ssRr(X2,X3)
    | ~ ssRr(X1,X2)
    | ssPv3(X2)
    | ssPv3(X1) ),
    c_0_56,
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv4(skf3(X1))
    | ssPv4(X2)
    | ssPv3(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_49]),
    [final] ).

cnf(c_0_72,negated_conjecture,
    ( ~ ssPv2(skf3(X1))
    | ~ ssPv4(skf3(skf3(X1)))
    | ssPv2(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_49]),
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( ~ ssRr(skf3(X1),X2)
    | ~ ssPv4(X2)
    | ~ ssPv3(skf3(X1))
    | ssPv2(skf3(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_49]),
    [final] ).

cnf(c_0_82,negated_conjecture,
    ( ~ ssPv2(X2)
    | ~ ssRr(X2,X3)
    | ~ ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ssPv1(X2)
    | ssPv1(X3) ),
    c_0_65,
    [final] ).

cnf(c_0_83,negated_conjecture,
    ( ~ ssPv3(X2)
    | ~ ssRr(X3,X2)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ssPv1(X2)
    | ssPv4(X3) ),
    c_0_66,
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( ~ ssRr(X2,X4)
    | ~ ssPv3(X3)
    | ~ ssRr(X2,X3)
    | ~ ssRr(X1,X2)
    | ssPv2(X2)
    | ssPv1(X4)
    | ssPv2(X1) ),
    c_0_69,
    [final] ).

cnf(c_0_87,negated_conjecture,
    ( ~ ssPv1(X2)
    | ~ ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ssPv3(X2)
    | ssPv2(X2) ),
    c_0_70,
    [final] ).

cnf(c_0_88,negated_conjecture,
    ( ~ ssPv4(skf3(X1))
    | ssPv4(skf3(skf3(X1)))
    | ssPv3(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_71,c_0_49]),
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv2(skf3(X1))
    | ~ ssPv4(X2)
    | ssPv1(X1)
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_49]),
    [final] ).

cnf(c_0_106,negated_conjecture,
    ( ~ ssRr(X2,X3)
    | ~ ssRr(X2,X1)
    | ~ ssPv1(X3)
    | ssPv3(X2)
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[c_0_84,c_0_85]),
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X3)
    | ssPv2(X2)
    | ssPv2(X1)
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_86,c_0_45]),
    [final] ).

cnf(c_0_117,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv1(skf2(X1))
    | ssPv2(skf2(X1))
    | ssPv3(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_45]),
    [final] ).

cnf(c_0_119,negated_conjecture,
    ( ~ ssRr(X2,X4)
    | ~ ssPv2(X3)
    | ~ ssRr(X2,X3)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ssPv3(X2)
    | ssPv4(X4) ),
    c_0_98,
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( ~ ssPv2(skf3(X1))
    | ~ ssPv4(skf3(skf3(X1)))
    | ssPv1(X1)
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_49]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( ~ ssPv3(X2)
    | ~ ssRr(X2,X3)
    | ~ ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ssPv1(X2)
    | ssPv3(X3) ),
    c_0_105,
    [final] ).

cnf(c_0_126,negated_conjecture,
    ( ~ ssRr(skf3(X1),X2)
    | ~ ssPv1(X2)
    | ssPv3(skf3(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_49]),
    [final] ).

cnf(c_0_127,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv3(X1)
    | ssPv2(X2)
    | ssPv2(skf3(X1))
    | ssPv1(skf2(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_107,c_0_49]),
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2)
    | ssPv1(X1)
    | ssPv3(X3) ),
    c_0_110,
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv2(skf2(X1))
    | ssPv3(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_78]),
    [final] ).

cnf(c_0_136,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ssPv3(X1)
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_106,c_0_45]),
    [final] ).

cnf(c_0_138,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssPv1(X2)
    | ssPv4(skf2(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_45]),
    [final] ).

cnf(c_0_142,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv3(X2)
    | ~ ssPv3(skf3(X1))
    | ssPv3(X1)
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_125,c_0_49]),
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( ~ ssPv1(skf2(skf3(X1)))
    | ssPv3(skf3(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_45]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( ~ ssPv3(X1)
    | ssPv2(skf3(X1))
    | ssPv2(skf3(skf3(X1)))
    | ssPv1(skf2(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_127,c_0_49]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    ( ~ ssPv1(X1)
    | ssPv3(skf3(X1))
    | ssPv1(skf2(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_136,c_0_49]),
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( ~ ssPv1(X2)
    | ~ ssPv2(X4)
    | ~ ssRr(X2,X4)
    | ~ ssRr(X3,X2)
    | ~ ssRr(X1,X2)
    | ssPv1(X3)
    | ssPv4(X1) ),
    c_0_170,
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2)
    | ssPv4(X1)
    | ssPv4(X3) ),
    c_0_171,
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ ssPv1(X2)
    | ~ ssRr(X2,X4)
    | ~ ssPv3(X3)
    | ~ ssRr(X2,X3)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ssPv2(X4) ),
    c_0_172,
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(X4)
    | ~ ssRr(X1,X4)
    | ~ ssPv3(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2) ),
    c_0_178,
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssPv1(X1)
    | ssPv4(X2)
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_180,c_0_49]),
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( ~ ssPv4(X2)
    | ~ ssRr(X2,X4)
    | ~ ssRr(X3,X2)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ssPv1(X4)
    | ssPv3(X3) ),
    c_0_183,
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv2(skf2(X1))
    | ~ ssPv1(X1)
    | ssPv4(X2)
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_188,c_0_45]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ ssPv1(X2)
    | ~ ssRr(X2,X4)
    | ~ ssRr(X3,X2)
    | ~ ssRr(X1,X2)
    | ssPv1(X4)
    | ssPv2(X3)
    | ssPv4(X1) ),
    c_0_191,
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ ssRr(X3,X2)
    | ~ ssRr(X2,X1)
    | ~ ssPv2(X3)
    | ~ ssPv4(X2)
    | ssPv3(skf3(X2))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_49]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv4(skf3(X1))
    | ssPv3(skf3(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_121]),c_0_139]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ ssPv2(skf2(X1))
    | ~ ssPv1(X1)
    | ssPv4(skf3(X1))
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_197,c_0_49]),
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( ~ ssRr(X2,X3)
    | ~ ssRr(X3,X1)
    | ~ ssPv1(X3)
    | ssPv2(skf3(X3))
    | ssPv4(X2)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_201,c_0_49]),
    [final] ).

cnf(c_0_212,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv2(X2)
    | ~ ssPv4(skf3(X1))
    | ssPv3(skf3(skf3(X1)))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_202,c_0_49]),
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2)
    | ssPv4(X1)
    | ssPv2(X1) ),
    c_0_209,
    [final] ).

cnf(c_0_219,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv1(X1)
    | ssPv2(skf3(X1))
    | ssPv4(X2)
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_211,c_0_45]),
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( ~ ssRr(X3,skf3(X1))
    | ~ ssRr(skf3(X1),X2)
    | ~ ssPv2(X3)
    | ~ ssPv3(X2)
    | ~ ssPv1(skf3(X1))
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_182,c_0_49]),
    [final] ).

cnf(c_0_222,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv1(skf3(X1))
    | ssPv2(skf3(skf3(X1)))
    | ssPv4(X2)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_211,c_0_49]),
    [final] ).

cnf(c_0_229,negated_conjecture,
    ( ~ ssPv1(X1)
    | ssPv2(skf3(X1))
    | ssPv4(skf3(X1))
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_219,c_0_49]),
    [final] ).

cnf(c_0_232,negated_conjecture,
    ( ~ ssPv1(skf3(X1))
    | ssPv2(skf3(skf3(X1)))
    | ssPv4(skf3(skf3(X1)))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_222,c_0_49]),
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssRr(skf3(X1),X3)
    | ~ ssPv3(X3)
    | ssPv2(X2)
    | ssPv2(skf3(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_49]),
    [final] ).

cnf(c_0_243,negated_conjecture,
    ( ~ ssPv2(X2)
    | ~ ssPv2(X4)
    | ~ ssRr(X2,X4)
    | ~ ssRr(X3,X2)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ssPv2(X3) ),
    c_0_235,
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( ~ ssRr(X3,X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X3)
    | ~ ssPv2(X1)
    | ~ ssPv2(X2)
    | ssPv2(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_243,c_0_49]),
    [final] ).

cnf(c_0_257,negated_conjecture,
    ( ~ ssPv2(skf3(X1))
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_49]),c_0_252]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ ssPv3(X1)
    | ssPv2(skf3(X1))
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_227]),c_0_156]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv2(X1)
    | ~ ssPv4(X2)
    | ssPv1(X1)
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_45]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ ssPv4(skf2(X1))
    | ssPv4(X1)
    | ssPv3(skf2(X1))
    | ssPv3(skf2(skf2(X1))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_45]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( ~ ssRr(X3,skf2(X2))
    | ~ ssRr(skf2(X2),X1)
    | ~ ssPv2(X3)
    | ~ ssPv4(skf2(X2))
    | ssPv3(X2)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_45]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv3(X1)
    | ssPv2(X1)
    | ssPv3(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_45]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv4(skf3(X1))
    | ssPv1(X1)
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_270,c_0_49]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( ~ ssRr(X2,skf2(X1))
    | ~ ssPv2(X2)
    | ~ ssPv4(skf2(X1))
    | ssPv3(X1)
    | ssPv1(skf2(skf2(X1))) ),
    inference(spm,[status(thm)],[c_0_274,c_0_45]),
    [final] ).

cnf(c_0_301,negated_conjecture,
    ( ~ ssRr(X2,X4)
    | ~ ssRr(X2,X3)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ssPv4(X2)
    | ssPv2(X4)
    | ssPv4(X3) ),
    c_0_289,
    [final] ).

cnf(c_0_305,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv2(X2)
    | ~ ssPv4(X1)
    | ssPv3(skf3(X1))
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_202,c_0_45]),
    [final] ).

cnf(c_0_308,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv3(X2)
    | ~ ssPv3(X1)
    | ssPv3(skf2(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_45]),
    [final] ).

cnf(c_0_312,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv4(X1)
    | ssPv3(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_134]),c_0_135]),
    [final] ).

cnf(c_0_314,negated_conjecture,
    ( ~ ssRr(X3,X2)
    | ~ ssRr(X2,X1)
    | ~ ssPv1(X3)
    | ssPv2(skf2(X2))
    | ssPv4(X2)
    | ssPv4(X1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_45]),
    [final] ).

cnf(c_0_315,negated_conjecture,
    ( ~ ssRr(X2,X3)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ssPv3(X2)
    | ssPv2(X2)
    | ssPv3(X3) ),
    c_0_302,
    [final] ).

cnf(c_0_323,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv2(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313]),c_0_282]),
    [final] ).

cnf(c_0_324,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv1(X2)
    | ssPv2(skf2(X1))
    | ssPv4(X1)
    | ssPv4(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_314,c_0_45]),
    [final] ).

cnf(c_0_325,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv1(X2)
    | ssPv2(X1)
    | ssPv3(X1)
    | ssPv3(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_315,c_0_45]),
    [final] ).

cnf(c_0_331,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv3(skf2(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_196,c_0_322]),
    [final] ).

cnf(c_0_332,negated_conjecture,
    ( ~ ssPv4(skf2(X1))
    | ~ ssPv3(X1)
    | ssPv2(X1)
    | ssPv3(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_279,c_0_45]),
    [final] ).

cnf(c_0_333,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv4(X1) ),
    inference(spm,[status(thm)],[c_0_323,c_0_300]),
    [final] ).

cnf(c_0_341,negated_conjecture,
    ( ~ ssPv2(skf2(X1))
    | ~ ssPv4(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_137]),c_0_334]),
    [final] ).

cnf(c_0_347,negated_conjecture,
    ( ~ ssPv2(skf2(X1))
    | ~ ssPv3(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_340]),c_0_323]),c_0_341]),
    [final] ).

cnf(c_0_357,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_312]),c_0_333]),
    [final] ).

cnf(c_0_360,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(skf3(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_355]),c_0_356]),
    [final] ).

cnf(c_0_361,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_357,c_0_236]),
    [final] ).

cnf(c_0_363,negated_conjecture,
    ( ~ ssRr(X2,X4)
    | ~ ssRr(X3,X2)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ssPv3(X2)
    | ssPv2(X4)
    | ssPv1(X3) ),
    c_0_359,
    [final] ).

cnf(c_0_364,negated_conjecture,
    ( ~ ssPv3(skf2(X1))
    | ssPv2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_327]),c_0_288]),c_0_361]),
    [final] ).

cnf(c_0_365,negated_conjecture,
    ( ~ ssPv3(skf2(X1))
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_351]),c_0_361]),
    [final] ).

cnf(c_0_368,negated_conjecture,
    ( ~ ssRr(X3,X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X3)
    | ssPv2(X2)
    | ssPv3(X1)
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_363,c_0_49]),
    [final] ).

cnf(c_0_369,negated_conjecture,
    ( ~ ssPv1(X1)
    | ssPv2(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_336]),c_0_365]),
    [final] ).

cnf(c_0_370,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv3(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_366]),c_0_361]),
    [final] ).

cnf(c_0_372,negated_conjecture,
    ( ~ ssPv2(skf3(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_333]),
    [final] ).

cnf(c_0_374,negated_conjecture,
    ( ~ ssPv1(skf3(X1))
    | ssPv2(X1)
    | ssPv3(X1)
    | ssPv3(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_325,c_0_49]),
    [final] ).

cnf(c_0_375,negated_conjecture,
    ( ~ ssRr(X2,X1)
    | ~ ssPv2(X2)
    | ssPv2(skf2(X1))
    | ssPv3(X1)
    | ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_368,c_0_45]),
    [final] ).

cnf(c_0_376,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_369]),
    [final] ).

cnf(c_0_377,negated_conjecture,
    ( ~ ssPv2(skf2(skf3(X1)))
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_150]),c_0_347]),
    [final] ).

cnf(c_0_379,negated_conjecture,
    ( ~ ssPv2(skf3(X1))
    | ~ ssPv4(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_372]),c_0_341]),
    [final] ).

cnf(c_0_380,negated_conjecture,
    ( ~ ssPv3(X1)
    | ssPv2(X1)
    | ssPv2(skf3(X1))
    | ssPv2(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_329]),c_0_132]),
    [final] ).

cnf(c_0_384,negated_conjecture,
    ( ~ ssPv3(skf2(X1))
    | ssPv4(X1) ),
    inference(spm,[status(thm)],[c_0_376,c_0_278]),
    [final] ).

cnf(c_0_385,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssPv1(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_377,c_0_369]),
    [final] ).

cnf(c_0_387,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv2(X1)
    | ssPv4(X3) ),
    c_0_378,
    [final] ).

cnf(c_0_389,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_341,c_0_369]),
    [final] ).

cnf(c_0_390,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_361]),c_0_347]),
    [final] ).

cnf(c_0_393,negated_conjecture,
    ( ~ ssPv1(skf2(X1))
    | ssPv4(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_369]),
    [final] ).

cnf(c_0_395,negated_conjecture,
    ( ~ ssPv4(skf2(skf3(X1)))
    | ~ ssPv3(skf3(X1))
    | ssPv2(skf3(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_45]),
    [final] ).

cnf(c_0_398,negated_conjecture,
    ( ~ ssRr(X2,skf2(X3))
    | ~ ssRr(skf2(X3),X1)
    | ~ ssPv1(skf2(X3))
    | ssPv2(X3)
    | ssPv4(X2)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_201,c_0_45]),
    [final] ).

cnf(c_0_401,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv1(skf3(X1))
    | ssPv3(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_60]),c_0_390]),
    [final] ).

cnf(c_0_403,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv3(skf2(skf2(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_392]),c_0_384]),
    [final] ).

cnf(c_0_404,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv2(X1)
    | ~ ssPv1(X2)
    | ssPv4(skf2(skf3(X1)))
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_138,c_0_49]),
    [final] ).

cnf(c_0_407,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv1(X1)
    | ssPv2(X1)
    | ssPv4(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_387,c_0_45]),
    [final] ).

cnf(c_0_412,negated_conjecture,
    ( ~ ssRr(X2,skf2(X1))
    | ~ ssPv1(skf2(X1))
    | ssPv2(X1)
    | ssPv4(X2)
    | ssPv1(skf2(skf2(X1))) ),
    inference(spm,[status(thm)],[c_0_398,c_0_45]),
    [final] ).

cnf(c_0_414,negated_conjecture,
    ( ~ ssPv1(X4)
    | ~ ssRr(X2,X4)
    | ~ ssRr(X3,X2)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ssPv4(X2)
    | ssPv3(X3) ),
    c_0_400,
    [final] ).

cnf(c_0_417,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv2(skf2(skf2(X1)))
    | ssPv3(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_382]),c_0_402]),c_0_403]),
    [final] ).

cnf(c_0_418,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(skf3(skf3(X1)))
    | ssPv4(skf2(skf3(X1)))
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_404,c_0_49]),
    [final] ).

cnf(c_0_419,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv1(skf3(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_405]),c_0_389]),
    [final] ).

cnf(c_0_421,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv3(skf3(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_227]),c_0_361]),
    [final] ).

cnf(c_0_422,negated_conjecture,
    ( ~ ssPv1(skf3(X1))
    | ssPv4(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_333]),c_0_369]),c_0_357]),
    [final] ).

cnf(c_0_423,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv1(skf3(X1))
    | ssPv2(skf3(X1))
    | ssPv4(skf2(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_407,c_0_49]),
    [final] ).

cnf(c_0_424,negated_conjecture,
    ( ~ ssRr(X2,skf2(X1))
    | ~ ssPv1(skf2(X1))
    | ssPv4(X2)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_309,c_0_369]),
    [final] ).

cnf(c_0_429,negated_conjecture,
    ( ~ ssPv1(X1)
    | ~ ssRr(X1,X4)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X2)
    | ssPv1(X4) ),
    c_0_411,
    [final] ).

cnf(c_0_432,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssRr(skf3(X1),X3)
    | ~ ssPv2(X3)
    | ~ ssPv1(X2)
    | ssPv4(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_119,c_0_49]),
    [final] ).

cnf(c_0_434,negated_conjecture,
    ( ~ ssRr(X3,skf2(X1))
    | ~ ssRr(skf2(X1),X2)
    | ~ ssPv2(X3)
    | ssPv2(X2)
    | ssPv3(skf2(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_363,c_0_45]),
    [final] ).

cnf(c_0_435,negated_conjecture,
    ( ~ ssRr(X3,skf3(X1))
    | ~ ssRr(skf3(X1),X2)
    | ~ ssPv1(X3)
    | ssPv2(X1)
    | ssPv4(X2)
    | ssPv4(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_301,c_0_49]),
    [final] ).

cnf(c_0_436,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv2(X1)
    | ~ ssPv1(skf3(X1))
    | ssPv4(X2)
    | ssPv1(skf3(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_188,c_0_49]),
    [final] ).

cnf(c_0_438,negated_conjecture,
    ( ~ ssRr(X3,X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X3)
    | ~ ssPv1(X2)
    | ssPv4(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_414,c_0_49]),
    [final] ).

cnf(c_0_439,negated_conjecture,
    ( ~ ssPv4(X4)
    | ~ ssRr(X2,X4)
    | ~ ssPv1(X3)
    | ~ ssRr(X3,X2)
    | ~ ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ssPv2(X2) ),
    c_0_415,
    [final] ).

cnf(c_0_441,negated_conjecture,
    ( ~ ssPv1(X2)
    | ~ ssPv1(X3)
    | ~ ssRr(X2,X3)
    | ~ ssRr(X1,X2)
    | ssPv2(X2)
    | ssPv4(X1) ),
    c_0_416,
    [final] ).

cnf(c_0_442,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv4(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_417]),c_0_390]),
    [final] ).

cnf(c_0_443,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv3(skf2(skf3(X1)))
    | ~ ssPv1(skf3(skf3(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_418]),c_0_419]),
    [final] ).

cnf(c_0_444,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(skf3(skf3(X1)))
    | ~ ssPv1(skf2(skf3(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_418]),c_0_419]),
    [final] ).

cnf(c_0_445,negated_conjecture,
    ( ~ ssPv2(skf2(skf3(X1)))
    | ~ ssPv3(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_420]),c_0_347]),
    [final] ).

cnf(c_0_446,negated_conjecture,
    ( ~ ssPv3(X1)
    | ssPv4(skf3(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_405]),c_0_421]),
    [final] ).

cnf(c_0_447,negated_conjecture,
    ( ~ ssPv1(skf3(skf3(X1)))
    | ssPv3(X1)
    | ssPv3(skf3(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_88]),c_0_422]),
    [final] ).

cnf(c_0_448,negated_conjecture,
    ( ~ ssPv1(skf3(X1))
    | ~ ssPv1(skf2(skf3(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_423]),c_0_422]),c_0_357]),
    [final] ).

cnf(c_0_449,negated_conjecture,
    ( ~ ssPv3(skf3(X1))
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_206]),c_0_369]),c_0_385]),
    [final] ).

cnf(c_0_450,negated_conjecture,
    ( ~ ssPv1(skf2(X1))
    | ssPv4(skf3(skf2(X1)))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_424,c_0_49]),
    [final] ).

cnf(c_0_451,negated_conjecture,
    ( ~ ssPv1(X1)
    | ssPv4(skf3(X1))
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_393,c_0_150]),
    [final] ).

cnf(c_0_452,negated_conjecture,
    ( ~ ssPv3(skf2(skf3(X1)))
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_150]),c_0_370]),
    [final] ).

cnf(c_0_453,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_262]),c_0_226]),
    [final] ).

cnf(c_0_454,negated_conjecture,
    ( ~ ssPv4(skf2(X1))
    | ssPv2(skf2(X1))
    | ssPv4(X1) ),
    inference(spm,[status(thm)],[c_0_341,c_0_425]),
    [final] ).

cnf(c_0_455,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv2(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_426,c_0_427]),
    [final] ).

cnf(c_0_456,negated_conjecture,
    ( ~ ssPv1(X1)
    | ssPv2(skf2(skf2(X1)))
    | ssPv4(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_288,c_0_342]),
    [final] ).

cnf(c_0_457,negated_conjecture,
    ( ~ ssPv3(skf3(X1))
    | ssPv2(skf3(skf3(X1)))
    | ssPv2(skf2(skf3(X1)))
    | ssPv3(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_246]),c_0_269]),
    [final] ).

cnf(c_0_458,negated_conjecture,
    ( ~ ssRr(skf3(X1),X3)
    | ~ ssRr(skf3(X1),X2)
    | ~ ssPv4(X3)
    | ~ ssPv1(X2)
    | ~ ssPv1(skf3(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_429,c_0_49]),
    [final] ).

cnf(c_0_459,negated_conjecture,
    ( ~ ssPv2(skf3(X1))
    | ~ ssPv3(skf3(skf3(X1)))
    | ssPv1(X1)
    | ssPv1(skf3(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_316]),c_0_140]),
    [final] ).

cnf(c_0_460,negated_conjecture,
    ( ~ ssRr(X3,skf2(X1))
    | ~ ssRr(skf2(X1),X2)
    | ~ ssPv2(X3)
    | ~ ssPv2(X2)
    | ~ ssPv2(skf2(X1))
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_243,c_0_45]),
    [final] ).

cnf(c_0_461,negated_conjecture,
    ( ~ ssPv2(skf2(X1))
    | ssPv2(skf3(skf2(X1)))
    | ssPv4(X1)
    | ssPv3(skf2(skf2(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_431]),c_0_331]),
    [final] ).

cnf(c_0_462,negated_conjecture,
    ( ~ ssRr(X3,skf2(X1))
    | ~ ssRr(skf2(X1),X2)
    | ~ ssPv1(X3)
    | ~ ssPv1(X2)
    | ssPv4(skf2(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_45]),
    [final] ).

cnf(c_0_463,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv2(skf2(skf3(X1)))
    | ~ ssPv1(X2)
    | ssPv4(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_432,c_0_45]),
    [final] ).

cnf(c_0_464,negated_conjecture,
    ( ~ ssPv2(skf2(X1))
    | ssPv2(X1)
    | ssPv4(X1)
    | ssPv3(skf2(skf2(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_433]),c_0_331]),
    [final] ).

cnf(c_0_465,negated_conjecture,
    ( ~ ssPv1(skf2(X1))
    | ssPv2(X1)
    | ssPv4(skf3(skf2(X1)))
    | ssPv1(skf2(skf2(X1))) ),
    inference(spm,[status(thm)],[c_0_412,c_0_49]),
    [final] ).

cnf(c_0_466,negated_conjecture,
    ( ~ ssRr(X2,skf2(X1))
    | ~ ssPv2(X2)
    | ssPv2(skf2(skf2(X1)))
    | ssPv3(skf2(X1))
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_434,c_0_45]),
    [final] ).

cnf(c_0_467,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv1(X2)
    | ssPv2(X1)
    | ssPv4(skf3(X1))
    | ssPv4(skf2(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_435,c_0_45]),
    [final] ).

cnf(c_0_468,negated_conjecture,
    ( ~ ssPv2(X1)
    | ~ ssPv1(skf3(X1))
    | ssPv4(skf3(skf3(X1)))
    | ssPv1(skf3(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_436,c_0_49]),
    [final] ).

cnf(c_0_469,negated_conjecture,
    ( ~ ssPv2(X1)
    | ssPv3(skf3(X1))
    | ssPv3(skf2(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_54]),c_0_437]),
    [final] ).

cnf(c_0_470,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv1(X2)
    | ~ ssPv1(X1)
    | ssPv4(skf3(X1))
    | ssPv3(skf3(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_438,c_0_49]),
    [final] ).

cnf(c_0_471,negated_conjecture,
    ( ~ ssPv3(X1)
    | ssPv2(X1)
    | ssPv2(skf3(X1))
    | ssPv4(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_329]),c_0_148]),
    [final] ).

cnf(c_0_472,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv2(X2)
    | ssPv2(X1)
    | ssPv3(skf3(X1))
    | ssPv1(skf3(skf3(X1))) ),
    inference(spm,[status(thm)],[c_0_368,c_0_49]),
    [final] ).

cnf(c_0_473,negated_conjecture,
    ( ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X3)
    | ~ ssPv1(X1)
    | ~ ssPv1(X2)
    | ssPv1(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_429,c_0_45]),
    [final] ).

cnf(c_0_474,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv1(X2)
    | ssPv2(skf2(skf3(X1)))
    | ssPv4(X1)
    | ssPv4(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_314,c_0_49]),
    [final] ).

cnf(c_0_475,negated_conjecture,
    ( ~ ssRr(X3,X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X3)
    | ~ ssPv4(X2)
    | ~ ssPv1(skf3(X1))
    | ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_439,c_0_49]),
    [final] ).

cnf(c_0_476,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv1(X2)
    | ssPv2(X1)
    | ssPv4(X1)
    | ssPv4(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_435,c_0_49]),
    [final] ).

cnf(c_0_477,negated_conjecture,
    ( ~ ssPv2(skf3(X1))
    | ssPv2(X1)
    | ssPv3(skf3(X1))
    | ssPv3(skf2(skf3(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_60]),c_0_440]),
    [final] ).

cnf(c_0_478,negated_conjecture,
    ( ~ ssRr(X2,skf3(X1))
    | ~ ssPv1(X2)
    | ssPv2(skf3(X1))
    | ssPv3(X1)
    | ssPv3(skf3(X1)) ),
    inference(spm,[status(thm)],[c_0_315,c_0_49]),
    [final] ).

cnf(c_0_479,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssPv1(X1)
    | ssPv4(X1)
    | ssPv4(skf2(X1)) ),
    inference(spm,[status(thm)],[c_0_181,c_0_45]),
    [final] ).

cnf(c_0_480,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssPv1(skf2(X2))
    | ssPv2(X2)
    | ssPv4(X1) ),
    inference(spm,[status(thm)],[c_0_441,c_0_45]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN785-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.43  % Computer : n009.cluster.edu
% 0.16/5.43  % Model    : x86_64 x86_64
% 0.16/5.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43  % Memory   : 8046.5625MB
% 0.16/5.43  % OS       : Linux 6.8.0-71-generic
% 0.16/5.44  % CPULimit : 300
% 0.16/5.44  % WCLimit  : 300
% 0.16/5.44  % DateTime : Mon Sep 21 11:16:33 UTC 2026
% 0.16/5.44  % CPUTime  : 
% 0.16/5.44  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.50  Running first-order theorem proving
% 0.21/5.50  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
% 0.21/5.64  % Version: 3.5.1
% 0.21/5.64  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/5.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/5.64  % Starting new_bool_3 with 300s (1) cores
% 0.21/5.64  % Starting new_bool_1 with 300s (1) cores
% 0.21/5.64  % Starting sh5l with 300s (1) cores
% 0.21/5.64  % new_bool_3 with pid 1612125 completed with status 1
% 0.21/5.64  % Result found by new_bool_3
% 0.21/5.64  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/5.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/5.64  % Starting new_bool_3 with 300s (1) cores
% 0.21/5.64  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/5.64  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/5.64  % Search class: FGHNS-FFMF11-SFFFFFNN
% 0.21/5.64  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/5.64  % Starting SubtermCWHack with 31s (1) cores
% 0.21/5.64  % SubtermCWHack with pid 1612134 completed with status 1
% 0.21/5.64  % Result found by SubtermCWHack
% 0.21/5.64  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/5.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/5.64  % Starting new_bool_3 with 300s (1) cores
% 0.21/5.64  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/5.64  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/5.64  % Search class: FGHNS-FFMF11-SFFFFFNN
% 0.21/5.64  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/5.64  % Starting SubtermCWHack with 31s (1) cores
% 0.21/5.64  % Preprocessing time       : 0.001 s
% 0.21/5.64  
% 0.21/5.64  % No proof found!
% 0.21/5.64  % SZS status Satisfiable
% 0.21/5.64  % SZS output start Saturation
% See solution above
% 0.21/5.64  % Parsed axioms                        : 42
% 0.21/5.64  % Removed by relevancy pruning/SinE    : 0
% 0.21/5.64  % Initial clauses                      : 42
% 0.21/5.64  % Removed in clause preprocessing      : 0
% 0.21/5.64  % Initial clauses in saturation        : 42
% 0.21/5.64  % Processed clauses                    : 1295
% 0.21/5.64  % ...of these trivial                  : 0
% 0.21/5.64  % ...subsumed                          : 673
% 0.21/5.64  % ...remaining for further processing  : 622
% 0.21/5.64  % Other redundant clauses eliminated   : 0
% 0.21/5.64  % Clauses deleted for lack of memory   : 0
% 0.21/5.64  % Backward-subsumed                    : 458
% 0.21/5.64  % Backward-rewritten                   : 0
% 0.21/5.64  % Generated clauses                    : 4202
% 0.21/5.64  % ...of the previous two non-redundant : 2406
% 0.21/5.64  % ...aggressively subsumed             : 0
% 0.21/5.64  % Contextual simplify-reflections      : 185
% 0.21/5.64  % Paramodulations                      : 4202
% 0.21/5.64  % Factorizations                       : 0
% 0.21/5.64  % NegExts                              : 0
% 0.21/5.64  % Equation resolutions                 : 0
% 0.21/5.64  % Disequality decompositions           : 0
% 0.21/5.64  % Total rewrite steps                  : 0
% 0.21/5.64  % ...of those cached                   : 0
% 0.21/5.64  % Propositional unsat checks           : 0
% 0.21/5.64  %    Propositional check models        : 0
% 0.21/5.64  %    Propositional check unsatisfiable : 0
% 0.21/5.64  %    Propositional clauses             : 0
% 0.21/5.64  %    Propositional clauses after purity: 0
% 0.21/5.64  %    Propositional unsat core size     : 0
% 0.21/5.64  %    Propositional preprocessing time  : 0.000
% 0.21/5.64  %    Propositional encoding time       : 0.000
% 0.21/5.64  %    Propositional solver time         : 0.000
% 0.21/5.64  %    Success case prop preproc time    : 0.000
% 0.21/5.64  %    Success case prop encoding time   : 0.000
% 0.21/5.64  %    Success case prop solver time     : 0.000
% 0.21/5.64  % Current number of processed clauses  : 164
% 0.21/5.64  %    Positive orientable unit clauses  : 2
% 0.21/5.64  %    Positive unorientable unit clauses: 0
% 0.21/5.64  %    Negative unit clauses             : 0
% 0.21/5.64  %    Non-unit-clauses                  : 162
% 0.21/5.64  % Current number of unprocessed clauses: 0
% 0.21/5.64  % ...number of literals in the above   : 0
% 0.21/5.64  % Current number of archived formulas  : 0
% 0.21/5.64  % Current number of archived clauses   : 458
% 0.21/5.64  % Clause-clause subsumption calls (NU) : 9713
% 0.21/5.64  % Rec. Clause-clause subsumption calls : 4704
% 0.21/5.64  % Non-unit clause-clause subsumptions  : 1316
% 0.21/5.64  % Unit Clause-clause subsumption calls : 0
% 0.21/5.64  % Rewrite failures with RHS unbound    : 0
% 0.21/5.64  % BW rewrite match attempts            : 0
% 0.21/5.64  % BW rewrite match successes           : 0
% 0.21/5.64  % Condensation attempts                : 0
% 0.21/5.64  % Condensation successes               : 0
% 0.21/5.64  % Termbank termtop insertions          : 79928
% 0.21/5.64  % Search garbage collected termcells   : 190
% 0.21/5.64  
% 0.21/5.64  % -------------------------------------------------
% 0.21/5.64  % User time                : 0.099 s
% 0.21/5.64  % System time              : 0.007 s
% 0.21/5.64  % Total time               : 0.106 s
% 0.21/5.64  % Maximum resident set size: 3668 pages
% 0.21/5.64  
% 0.21/5.64  % -------------------------------------------------
% 0.21/5.64  % User time                : 0.100 s
% 0.21/5.64  % System time              : 0.012 s
% 0.21/5.64  % Total time               : 0.112 s
% 0.21/5.64  % Maximum resident set size: 4864 pages
% 0.21/5.64  % E exiting
%------------------------------------------------------------------------------