TSTP Solution File: SYN576-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN576-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 19:39:42 EDT 2024

% Result   : Unsatisfiable 20.94s 3.66s
% Output   : CNFRefutation 20.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p8(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_1) ).

cnf(c_50,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

cnf(c_51,negated_conjecture,
    p4(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).

cnf(c_53,negated_conjecture,
    p12(c15,f6(c13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_5) ).

cnf(c_54,negated_conjecture,
    p12(c16,f6(c13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_6) ).

cnf(c_55,negated_conjecture,
    ( p11(X0,X1)
    | p11(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).

cnf(c_56,negated_conjecture,
    p2(f3(X0,X1),f3(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

cnf(c_57,negated_conjecture,
    ( ~ p4(X0,X1)
    | p5(f6(X0),f6(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_9) ).

cnf(c_60,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

cnf(c_64,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p5(X2,X3)
    | ~ p12(X0,X2)
    | p12(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).

cnf(c_65,negated_conjecture,
    ~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_17) ).

cnf(c_67,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f7(X0,X2),f7(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).

cnf(c_68,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X4,X5)
    | p2(f9(X4,X0,X2),f9(X5,X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

cnf(c_70,negated_conjecture,
    ( ~ p11(f10(X0),f10(X1))
    | ~ p12(X0,f6(X2))
    | ~ p12(X1,f6(X2))
    | p12(f7(f9(X2,c14,f3(X0,X1)),f3(X0,X1)),f6(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_22) ).

cnf(c_72,plain,
    p4(c13,c13),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_83,negated_conjecture,
    ( ~ p11(f10(X0_13),f10(X1_13))
    | ~ p12(X0_13,f6(X0_15))
    | ~ p12(X1_13,f6(X0_15))
    | p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15)) ),
    inference(subtyping,[status(esa)],[c_70]) ).

cnf(c_85,negated_conjecture,
    ( ~ p8(X0_16,X1_16)
    | ~ p2(X0_13,X1_13)
    | ~ p4(X0_15,X1_15)
    | p2(f9(X0_15,X0_16,X0_13),f9(X1_15,X1_16,X1_13)) ),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_86,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X2_13,X3_13)
    | p2(f7(X2_13,X0_13),f7(X3_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_67]) ).

cnf(c_88,negated_conjecture,
    ~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
    inference(subtyping,[status(esa)],[c_65]) ).

cnf(c_89,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p5(X0_14,X1_14)
    | ~ p12(X0_13,X0_14)
    | p12(X1_13,X1_14) ),
    inference(subtyping,[status(esa)],[c_64]) ).

cnf(c_93,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X0_13,X2_13)
    | p2(X1_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_60]) ).

cnf(c_96,negated_conjecture,
    ( ~ p4(X0_15,X1_15)
    | p5(f6(X0_15),f6(X1_15)) ),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_97,negated_conjecture,
    p2(f3(X0_13,X1_13),f3(X1_13,X0_13)),
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_98,negated_conjecture,
    ( p11(X0_13,X1_13)
    | p11(X1_13,X0_13) ),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_103,negated_conjecture,
    p2(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_104,negated_conjecture,
    p8(X0_16,X0_16),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_105,plain,
    f6(c13) = sP0_iProver_def,
    definition ).

cnf(c_106,plain,
    f3(c15,c16) = sP1_iProver_def,
    definition ).

cnf(c_107,plain,
    f9(c13,c14,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_108,plain,
    f7(sP2_iProver_def,sP1_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_109,negated_conjecture,
    p8(X0_16,X0_16),
    inference(demodulation,[status(thm)],[c_104]) ).

cnf(c_110,negated_conjecture,
    p2(X0_13,X0_13),
    inference(demodulation,[status(thm)],[c_103]) ).

cnf(c_115,negated_conjecture,
    ( p11(X0_13,X1_13)
    | p11(X1_13,X0_13) ),
    inference(demodulation,[status(thm)],[c_98]) ).

cnf(c_116,negated_conjecture,
    p2(f3(X0_13,X1_13),f3(X1_13,X0_13)),
    inference(demodulation,[status(thm)],[c_97]) ).

cnf(c_117,negated_conjecture,
    ( ~ p4(X0_15,X1_15)
    | p5(f6(X0_15),f6(X1_15)) ),
    inference(demodulation,[status(thm)],[c_96]) ).

cnf(c_120,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X0_13,X2_13)
    | p2(X1_13,X2_13) ),
    inference(demodulation,[status(thm)],[c_93]) ).

cnf(c_124,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p5(X0_14,X1_14)
    | ~ p12(X0_13,X0_14)
    | p12(X1_13,X1_14) ),
    inference(demodulation,[status(thm)],[c_89]) ).

cnf(c_125,negated_conjecture,
    ~ p12(sP3_iProver_def,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_88,c_106,c_107,c_108]) ).

cnf(c_127,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X2_13,X3_13)
    | p2(f7(X2_13,X0_13),f7(X3_13,X1_13)) ),
    inference(demodulation,[status(thm)],[c_86]) ).

cnf(c_128,negated_conjecture,
    ( ~ p8(X0_16,X1_16)
    | ~ p2(X0_13,X1_13)
    | ~ p4(X0_15,X1_15)
    | p2(f9(X0_15,X0_16,X0_13),f9(X1_15,X1_16,X1_13)) ),
    inference(demodulation,[status(thm)],[c_85]) ).

cnf(c_130,negated_conjecture,
    ( ~ p11(f10(X0_13),f10(X1_13))
    | ~ p12(X0_13,f6(X0_15))
    | ~ p12(X1_13,f6(X0_15))
    | p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15)) ),
    inference(demodulation,[status(thm)],[c_83]) ).

cnf(c_132,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_133,plain,
    X0_14 = X0_14,
    theory(equality) ).

cnf(c_134,plain,
    ( X0_13 != X1_13
    | X2_13 != X1_13
    | X2_13 = X0_13 ),
    theory(equality) ).

cnf(c_135,plain,
    ( X0_14 != X1_14
    | X2_14 != X1_14
    | X2_14 = X0_14 ),
    theory(equality) ).

cnf(c_136,plain,
    ( X0_13 != X1_13
    | X2_13 != X3_13
    | ~ p2(X1_13,X3_13)
    | p2(X0_13,X2_13) ),
    theory(equality) ).

cnf(c_138,plain,
    ( X0_13 != X1_13
    | X0_14 != X1_14
    | ~ p12(X1_13,X1_14)
    | p12(X0_13,X0_14) ),
    theory(equality) ).

cnf(c_143,plain,
    ( X0_13 != X1_13
    | X2_13 != X3_13
    | f7(X0_13,X2_13) = f7(X1_13,X3_13) ),
    theory(equality) ).

cnf(c_161,plain,
    p8(c14,c14),
    inference(instantiation,[status(thm)],[c_109]) ).

cnf(c_185,plain,
    p2(sP1_iProver_def,f3(c16,c15)),
    inference(superposition,[status(thm)],[c_106,c_116]) ).

cnf(c_186,plain,
    p2(f3(c16,c15),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_106,c_116]) ).

cnf(c_191,plain,
    ( ~ p4(c13,X0_15)
    | p5(sP0_iProver_def,f6(X0_15)) ),
    inference(superposition,[status(thm)],[c_105,c_117]) ).

cnf(c_192,plain,
    ( ~ p4(X0_15,c13)
    | p5(f6(X0_15),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_105,c_117]) ).

cnf(c_193,plain,
    ( ~ p4(c13,c13)
    | p5(f6(c13),sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_192]) ).

cnf(c_194,plain,
    ( ~ p4(c13,c13)
    | p5(sP0_iProver_def,f6(c13)) ),
    inference(instantiation,[status(thm)],[c_191]) ).

cnf(c_199,plain,
    ( ~ p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15))
    | ~ p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),X2_13)
    | ~ p5(f6(X0_15),X0_14)
    | p12(X2_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_124]) ).

cnf(c_205,plain,
    ( ~ p2(f3(X0_13,X1_13),X2_13)
    | p2(f3(X1_13,X0_13),X2_13) ),
    inference(superposition,[status(thm)],[c_116,c_120]) ).

cnf(c_207,plain,
    ( ~ p2(sP1_iProver_def,X0_13)
    | p2(f3(c16,c15),X0_13) ),
    inference(superposition,[status(thm)],[c_185,c_120]) ).

cnf(c_208,plain,
    ( ~ p2(f3(c16,c15),X0_13)
    | p2(sP1_iProver_def,X0_13) ),
    inference(superposition,[status(thm)],[c_186,c_120]) ).

cnf(c_213,plain,
    sP0_iProver_def = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_233,plain,
    ( ~ p2(X0_13,X1_13)
    | ~ p5(sP0_iProver_def,X0_14)
    | ~ p12(X0_13,sP0_iProver_def)
    | p12(X1_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_124]) ).

cnf(c_257,plain,
    ( f6(X0_15) != X0_14
    | X1_14 != X0_14
    | X1_14 = f6(X0_15) ),
    inference(instantiation,[status(thm)],[c_135]) ).

cnf(c_271,plain,
    ( ~ p5(f6(c13),X0_14)
    | ~ p12(X0_13,f6(c13))
    | ~ p2(X0_13,X1_13)
    | p12(X1_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_124]) ).

cnf(c_327,plain,
    p2(f3(c16,c15),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_106,c_116]) ).

cnf(c_356,plain,
    p2(sP1_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_327,c_208]) ).

cnf(c_360,plain,
    ( X0_13 != X1_13
    | X0_14 != f6(X0_15)
    | ~ p12(X1_13,f6(X0_15))
    | p12(X0_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_400,plain,
    ( f6(c13) != sP0_iProver_def
    | X0_14 != sP0_iProver_def
    | X0_14 = f6(c13) ),
    inference(instantiation,[status(thm)],[c_257]) ).

cnf(c_442,plain,
    ( X0_13 != X1_13
    | sP3_iProver_def != X2_13
    | ~ p2(X1_13,X2_13)
    | p2(X0_13,sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_136]) ).

cnf(c_505,plain,
    sP3_iProver_def = sP3_iProver_def,
    inference(instantiation,[status(thm)],[c_132]) ).

cnf(c_506,plain,
    ( X0_13 != X1_13
    | sP3_iProver_def != X1_13
    | sP3_iProver_def = X0_13 ),
    inference(instantiation,[status(thm)],[c_134]) ).

cnf(c_583,plain,
    ( f6(c13) != sP0_iProver_def
    | sP0_iProver_def != sP0_iProver_def
    | sP0_iProver_def = f6(c13) ),
    inference(instantiation,[status(thm)],[c_400]) ).

cnf(c_813,plain,
    ( X0_13 != X1_13
    | sP0_iProver_def != f6(c13)
    | ~ p12(X1_13,f6(c13))
    | p12(X0_13,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_360]) ).

cnf(c_864,plain,
    ( X0_13 != sP3_iProver_def
    | sP3_iProver_def != sP3_iProver_def
    | sP3_iProver_def = X0_13 ),
    inference(instantiation,[status(thm)],[c_506]) ).

cnf(c_967,plain,
    ( ~ p11(f10(c15),f10(c16))
    | ~ p12(c15,f6(X0_15))
    | ~ p12(c16,f6(X0_15))
    | p12(f7(f9(X0_15,c14,sP1_iProver_def),sP1_iProver_def),f6(X0_15)) ),
    inference(superposition,[status(thm)],[c_106,c_130]) ).

cnf(c_972,plain,
    ( ~ p2(f3(c16,c15),X0_13)
    | ~ p2(sP1_iProver_def,X1_13)
    | p2(X1_13,X0_13) ),
    inference(superposition,[status(thm)],[c_207,c_120]) ).

cnf(c_1114,plain,
    ( ~ p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15))
    | ~ p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),X2_13)
    | ~ p5(f6(X0_15),sP0_iProver_def)
    | p12(X2_13,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_199]) ).

cnf(c_1124,plain,
    ( ~ p12(X0_13,f6(c13))
    | ~ p5(f6(c13),sP0_iProver_def)
    | ~ p2(X0_13,X1_13)
    | p12(X1_13,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_271]) ).

cnf(c_1126,plain,
    ( ~ p2(sP1_iProver_def,X0_13)
    | p2(X0_13,f3(c15,c16)) ),
    inference(superposition,[status(thm)],[c_116,c_972]) ).

cnf(c_1178,plain,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(sP1_iProver_def,X0_13)
    | p2(f3(c15,c16),X1_13) ),
    inference(superposition,[status(thm)],[c_1126,c_120]) ).

cnf(c_1293,plain,
    ( sP0_iProver_def != f6(c13)
    | sP3_iProver_def != X0_13
    | ~ p12(X0_13,f6(c13))
    | p12(sP3_iProver_def,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_813]) ).

cnf(c_1329,plain,
    ( f7(sP2_iProver_def,sP1_iProver_def) != sP3_iProver_def
    | sP3_iProver_def != sP3_iProver_def
    | sP3_iProver_def = f7(sP2_iProver_def,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_864]) ).

cnf(c_1392,plain,
    ( ~ p5(sP0_iProver_def,f6(X0_15))
    | ~ p2(X0_13,X1_13)
    | ~ p12(X0_13,sP0_iProver_def)
    | p12(X1_13,f6(X0_15)) ),
    inference(instantiation,[status(thm)],[c_233]) ).

cnf(c_1483,plain,
    ( ~ p12(X0_13,f6(c13))
    | ~ p5(f6(c13),sP0_iProver_def)
    | ~ p2(X0_13,sP3_iProver_def)
    | p12(sP3_iProver_def,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1124]) ).

cnf(c_1638,plain,
    ( sP0_iProver_def != f6(c13)
    | sP3_iProver_def != f7(sP2_iProver_def,sP1_iProver_def)
    | ~ p12(f7(sP2_iProver_def,sP1_iProver_def),f6(c13))
    | p12(sP3_iProver_def,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1293]) ).

cnf(c_1643,plain,
    ( X0_13 != X1_13
    | sP3_iProver_def != f7(sP2_iProver_def,sP1_iProver_def)
    | ~ p2(X1_13,f7(sP2_iProver_def,sP1_iProver_def))
    | p2(X0_13,sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_442]) ).

cnf(c_2066,plain,
    ( X0_13 != f7(sP2_iProver_def,sP1_iProver_def)
    | sP3_iProver_def != f7(sP2_iProver_def,sP1_iProver_def)
    | ~ p2(f7(sP2_iProver_def,sP1_iProver_def),f7(sP2_iProver_def,sP1_iProver_def))
    | p2(X0_13,sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1643]) ).

cnf(c_2067,plain,
    p2(f7(sP2_iProver_def,sP1_iProver_def),f7(sP2_iProver_def,sP1_iProver_def)),
    inference(instantiation,[status(thm)],[c_110]) ).

cnf(c_2104,plain,
    ( X0_13 != sP2_iProver_def
    | X1_13 != sP1_iProver_def
    | f7(X0_13,X1_13) = f7(sP2_iProver_def,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_2284,plain,
    p2(sP1_iProver_def,f3(c16,c15)),
    inference(superposition,[status(thm)],[c_106,c_116]) ).

cnf(c_2374,plain,
    p2(sP1_iProver_def,f3(c15,c16)),
    inference(superposition,[status(thm)],[c_116,c_208]) ).

cnf(c_2733,plain,
    ( f3(c15,c16) != sP1_iProver_def
    | X0_13 != sP2_iProver_def
    | f7(X0_13,f3(c15,c16)) = f7(sP2_iProver_def,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_2104]) ).

cnf(c_3340,plain,
    ( f9(c13,c14,sP1_iProver_def) != sP2_iProver_def
    | f3(c15,c16) != sP1_iProver_def
    | f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)) = f7(sP2_iProver_def,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_2733]) ).

cnf(c_3787,plain,
    ( f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)) != f7(sP2_iProver_def,sP1_iProver_def)
    | sP3_iProver_def != f7(sP2_iProver_def,sP1_iProver_def)
    | ~ p2(f7(sP2_iProver_def,sP1_iProver_def),f7(sP2_iProver_def,sP1_iProver_def))
    | p2(f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)),sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_2066]) ).

cnf(c_3871,plain,
    ( ~ p12(f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)),f6(c13))
    | ~ p2(f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)),sP3_iProver_def)
    | ~ p5(f6(c13),sP0_iProver_def)
    | p12(sP3_iProver_def,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1483]) ).

cnf(c_3898,plain,
    ( ~ p11(f10(c15),f10(c16))
    | ~ p12(c15,f6(c13))
    | ~ p12(c16,f6(c13))
    | p12(f7(sP2_iProver_def,sP1_iProver_def),f6(c13)) ),
    inference(superposition,[status(thm)],[c_107,c_967]) ).

cnf(c_3902,plain,
    ~ p11(f10(c15),f10(c16)),
    inference(global_subsumption_just,[status(thm)],[c_3898,c_54,c_53,c_105,c_108,c_125,c_213,c_505,c_583,c_1329,c_1638,c_3898]) ).

cnf(c_3904,plain,
    p11(f10(c16),f10(c15)),
    inference(superposition,[status(thm)],[c_115,c_3902]) ).

cnf(c_4683,plain,
    ( ~ p2(X0_13,f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)))
    | ~ p5(sP0_iProver_def,f6(c13))
    | ~ p12(X0_13,sP0_iProver_def)
    | p12(f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_1392]) ).

cnf(c_4705,plain,
    ( ~ p2(sP1_iProver_def,sP1_iProver_def)
    | p2(f3(c15,c16),f3(c16,c15)) ),
    inference(superposition,[status(thm)],[c_2284,c_1178]) ).

cnf(c_4710,plain,
    ( ~ p2(sP1_iProver_def,sP1_iProver_def)
    | p2(f3(c15,c16),f3(c15,c16)) ),
    inference(superposition,[status(thm)],[c_2374,c_1178]) ).

cnf(c_4805,plain,
    p2(sP1_iProver_def,f3(c16,c15)),
    inference(superposition,[status(thm)],[c_106,c_116]) ).

cnf(c_4883,plain,
    p2(sP1_iProver_def,f3(c15,c16)),
    inference(superposition,[status(thm)],[c_116,c_208]) ).

cnf(c_5557,plain,
    ( ~ p2(sP1_iProver_def,sP1_iProver_def)
    | p2(f3(c15,c16),f3(c16,c15)) ),
    inference(superposition,[status(thm)],[c_4805,c_1178]) ).

cnf(c_5562,plain,
    ( ~ p2(sP1_iProver_def,sP1_iProver_def)
    | p2(f3(c15,c16),f3(c15,c16)) ),
    inference(superposition,[status(thm)],[c_4883,c_1178]) ).

cnf(c_6618,plain,
    ( ~ p2(X0_13,f9(c13,c14,sP1_iProver_def))
    | ~ p2(X1_13,f3(c15,c16))
    | p2(f7(X0_13,X1_13),f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_8215,plain,
    p2(f3(c15,c16),f3(c16,c15)),
    inference(global_subsumption_just,[status(thm)],[c_5557,c_356,c_4705]) ).

cnf(c_8233,plain,
    p2(f3(c16,c15),f3(c16,c15)),
    inference(superposition,[status(thm)],[c_8215,c_205]) ).

cnf(c_8288,plain,
    ( ~ p2(f3(X0_13,X1_13),f3(c15,c16))
    | ~ p2(X2_13,f9(c13,c14,sP1_iProver_def))
    | p2(f7(X2_13,f3(X0_13,X1_13)),f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_6618]) ).

cnf(c_8297,plain,
    p2(f3(c15,c16),f3(c15,c16)),
    inference(global_subsumption_just,[status(thm)],[c_5562,c_356,c_4710]) ).

cnf(c_8316,plain,
    p2(f3(c16,c15),f3(c15,c16)),
    inference(superposition,[status(thm)],[c_8297,c_205]) ).

cnf(c_9813,plain,
    ( ~ p8(X0_16,c14)
    | ~ p2(X0_13,sP1_iProver_def)
    | ~ p4(X0_15,c13)
    | p2(f9(X0_15,X0_16,X0_13),f9(c13,c14,sP1_iProver_def)) ),
    inference(instantiation,[status(thm)],[c_128]) ).

cnf(c_9844,plain,
    p2(f9(c13,c14,sP1_iProver_def),f9(c13,c14,sP1_iProver_def)),
    inference(instantiation,[status(thm)],[c_110]) ).

cnf(c_10789,plain,
    ( ~ p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f7(X2_13,X3_13))
    | ~ p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15))
    | ~ p5(f6(X0_15),sP0_iProver_def)
    | p12(f7(X2_13,X3_13),sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1114]) ).

cnf(c_13606,plain,
    ( ~ p2(f3(c16,c15),f3(c15,c16))
    | ~ p2(X0_13,f9(c13,c14,sP1_iProver_def))
    | p2(f7(X0_13,f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_8288]) ).

cnf(c_15414,plain,
    ( ~ p2(f9(X0_15,c14,f3(X0_13,X1_13)),X2_13)
    | ~ p2(f3(X0_13,X1_13),X3_13)
    | p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f7(X2_13,X3_13)) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_21034,plain,
    ( ~ p11(f10(X0_13),f10(X1_13))
    | ~ p12(X0_13,f6(c13))
    | ~ p12(X1_13,f6(c13))
    | p12(f7(f9(c13,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_21239,plain,
    ( ~ p2(f3(c16,c15),sP1_iProver_def)
    | ~ p8(X0_16,c14)
    | ~ p4(X0_15,c13)
    | p2(f9(X0_15,X0_16,f3(c16,c15)),f9(c13,c14,sP1_iProver_def)) ),
    inference(instantiation,[status(thm)],[c_9813]) ).

cnf(c_21244,plain,
    ( ~ p2(f3(c16,c15),sP1_iProver_def)
    | ~ p8(c14,c14)
    | ~ p4(c13,c13)
    | p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,sP1_iProver_def)) ),
    inference(instantiation,[status(thm)],[c_21239]) ).

cnf(c_22432,plain,
    ( ~ p2(f9(c13,c14,sP1_iProver_def),f9(c13,c14,sP1_iProver_def))
    | ~ p2(f3(c16,c15),f3(c15,c16))
    | p2(f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_13606]) ).

cnf(c_31222,plain,
    ( ~ p2(f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)))
    | ~ p12(f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15)),sP0_iProver_def)
    | ~ p5(sP0_iProver_def,f6(c13))
    | p12(f7(f9(c13,c14,sP1_iProver_def),f3(c15,c16)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_4683]) ).

cnf(c_34806,plain,
    ( ~ p2(f9(X0_15,c14,f3(c16,c15)),f9(c13,c14,sP1_iProver_def))
    | ~ p2(f3(c16,c15),X0_13)
    | p2(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),X0_13)) ),
    inference(instantiation,[status(thm)],[c_15414]) ).

cnf(c_48891,plain,
    ( ~ p2(f9(X0_15,c14,f3(c16,c15)),f9(c13,c14,sP1_iProver_def))
    | ~ p2(f3(c16,c15),f3(c16,c15))
    | p2(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15))) ),
    inference(instantiation,[status(thm)],[c_34806]) ).

cnf(c_48892,plain,
    ( ~ p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,sP1_iProver_def))
    | ~ p2(f3(c16,c15),f3(c16,c15))
    | p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15))) ),
    inference(instantiation,[status(thm)],[c_48891]) ).

cnf(c_55921,plain,
    ( ~ p2(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15)))
    | ~ p12(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f6(X0_15))
    | ~ p5(f6(X0_15),sP0_iProver_def)
    | p12(f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15)),sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_10789]) ).

cnf(c_55922,plain,
    ( ~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15)))
    | ~ p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13))
    | ~ p5(f6(c13),sP0_iProver_def)
    | p12(f7(f9(c13,c14,sP1_iProver_def),f3(c16,c15)),sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_55921]) ).

cnf(c_66485,plain,
    ( ~ p11(f10(c16),f10(c15))
    | ~ p12(c15,f6(c13))
    | ~ p12(c16,f6(c13))
    | p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_21034]) ).

cnf(c_66486,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_66485,c_55922,c_48892,c_31222,c_22432,c_21244,c_9844,c_8316,c_8233,c_3904,c_3871,c_3787,c_3340,c_2067,c_1329,c_505,c_194,c_193,c_186,c_125,c_108,c_107,c_106,c_161,c_53,c_54,c_72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN576-1 : TPTP v8.2.0. Released v2.5.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun Jun 23 18:32:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.94/3.66  % SZS status Started for theBenchmark.p
% 20.94/3.66  % SZS status Unsatisfiable for theBenchmark.p
% 20.94/3.66  
% 20.94/3.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.94/3.66  
% 20.94/3.66  ------  iProver source info
% 20.94/3.66  
% 20.94/3.66  git: date: 2024-06-12 09:56:46 +0000
% 20.94/3.66  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 20.94/3.66  git: non_committed_changes: false
% 20.94/3.66  
% 20.94/3.66  ------ Parsing...successful
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 20.94/3.66  
% 20.94/3.66  ------ Preprocessing...
% 20.94/3.66  
% 20.94/3.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 20.94/3.66  ------ Proving...
% 20.94/3.66  ------ Problem Properties 
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  clauses                                 26
% 20.94/3.66  conjectures                             22
% 20.94/3.66  EPR                                     14
% 20.94/3.66  Horn                                    25
% 20.94/3.66  unary                                   12
% 20.94/3.66  binary                                  3
% 20.94/3.66  lits                                    56
% 20.94/3.66  lits eq                                 4
% 20.94/3.66  fd_pure                                 0
% 20.94/3.66  fd_pseudo                               0
% 20.94/3.66  fd_cond                                 0
% 20.94/3.66  fd_pseudo_cond                          0
% 20.94/3.66  AC symbols                              0
% 20.94/3.66  
% 20.94/3.66  ------ Input Options Time Limit: Unbounded
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  ------ 
% 20.94/3.66  Current options:
% 20.94/3.66  ------ 
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  ------ Proving...
% 20.94/3.66  
% 20.94/3.66  
% 20.94/3.66  % SZS status Unsatisfiable for theBenchmark.p
% 20.94/3.66  
% 20.94/3.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.94/3.66  
% 20.94/3.67  
%------------------------------------------------------------------------------