TSTP Solution File: SYN617-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN617-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 19:40:02 EDT 2024

% Result   : Unsatisfiable 33.08s 5.24s
% Output   : CNFRefutation 33.08s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p11(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).

cnf(c_52,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

cnf(c_53,negated_conjecture,
    p13(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_5) ).

cnf(c_54,negated_conjecture,
    p19(c21,c22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_6) ).

cnf(c_55,negated_conjecture,
    p11(f12(f14(X0,X1)),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).

cnf(c_62,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f6(X0),f6(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).

cnf(c_63,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f5(X0),f5(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).

cnf(c_64,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f3(X0),f3(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).

cnf(c_67,negated_conjecture,
    p13(f15(f3(X0),X1),f15(X0,f12(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_19) ).

cnf(c_71,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).

cnf(c_72,negated_conjecture,
    ( ~ p13(X0,X1)
    | ~ p13(X0,X2)
    | p13(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_24) ).

cnf(c_75,negated_conjecture,
    ( ~ p11(X0,X1)
    | ~ p13(X2,X3)
    | p11(f14(X2,X0),f14(X3,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).

cnf(c_76,negated_conjecture,
    ( ~ p11(X0,X1)
    | ~ p2(X2,X3)
    | p13(f15(X2,X0),f15(X3,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_28) ).

cnf(c_77,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f4(X0,X2),f4(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_29) ).

cnf(c_79,negated_conjecture,
    ( ~ p19(X0,X1)
    | p2(f4(f4(f3(X1),f5(f6(c20))),X0),f3(f4(f4(X1,f5(f6(c20))),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).

cnf(c_80,negated_conjecture,
    ~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p13_32) ).

cnf(c_82,plain,
    p2(c20,c20),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_105,negated_conjecture,
    ~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
    inference(subtyping,[status(esa)],[c_80]) ).

cnf(c_106,negated_conjecture,
    ( ~ p19(X0_14,X1_14)
    | p2(f4(f4(f3(X1_14),f5(f6(c20))),X0_14),f3(f4(f4(X1_14,f5(f6(c20))),X0_14))) ),
    inference(subtyping,[status(esa)],[c_79]) ).

cnf(c_107,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | ~ p2(X2_14,X3_14)
    | p2(f4(X0_14,X2_14),f4(X1_14,X3_14)) ),
    inference(subtyping,[status(esa)],[c_77]) ).

cnf(c_108,negated_conjecture,
    ( ~ p11(X0_15,X1_15)
    | ~ p2(X0_14,X1_14)
    | p13(f15(X0_14,X0_15),f15(X1_14,X1_15)) ),
    inference(subtyping,[status(esa)],[c_76]) ).

cnf(c_109,negated_conjecture,
    ( ~ p11(X0_15,X1_15)
    | ~ p13(X0_13,X1_13)
    | p11(f14(X0_13,X0_15),f14(X1_13,X1_15)) ),
    inference(subtyping,[status(esa)],[c_75]) ).

cnf(c_111,negated_conjecture,
    ( ~ p13(X0_13,X1_13)
    | ~ p13(X0_13,X2_13)
    | p13(X1_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_72]) ).

cnf(c_112,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | ~ p2(X0_14,X2_14)
    | p2(X1_14,X2_14) ),
    inference(subtyping,[status(esa)],[c_71]) ).

cnf(c_114,negated_conjecture,
    p13(f15(f3(X0_14),X0_15),f15(X0_14,f12(X0_15))),
    inference(subtyping,[status(esa)],[c_67]) ).

cnf(c_116,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | p2(f3(X0_14),f3(X1_14)) ),
    inference(subtyping,[status(esa)],[c_64]) ).

cnf(c_117,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | p2(f5(X0_14),f5(X1_14)) ),
    inference(subtyping,[status(esa)],[c_63]) ).

cnf(c_118,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | p2(f6(X0_14),f6(X1_14)) ),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_121,negated_conjecture,
    p11(f12(f14(X0_13,X0_15)),X0_15),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_123,negated_conjecture,
    p13(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_124,negated_conjecture,
    p2(X0_14,X0_14),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_125,negated_conjecture,
    p11(X0_15,X0_15),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_127,plain,
    f6(c20) = sP1_iProver_def,
    definition ).

cnf(c_128,plain,
    f5(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_129,plain,
    f3(c22) = sP3_iProver_def,
    definition ).

cnf(c_130,plain,
    f4(sP3_iProver_def,sP2_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_131,plain,
    f4(sP4_iProver_def,c21) = sP5_iProver_def,
    definition ).

cnf(c_132,plain,
    f14(c23,c24) = sP6_iProver_def,
    definition ).

cnf(c_133,plain,
    f15(sP5_iProver_def,sP6_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_134,plain,
    f4(c22,sP2_iProver_def) = sP8_iProver_def,
    definition ).

cnf(c_135,plain,
    f4(sP8_iProver_def,c21) = sP9_iProver_def,
    definition ).

cnf(c_136,plain,
    f15(sP9_iProver_def,c24) = sP10_iProver_def,
    definition ).

cnf(c_137,negated_conjecture,
    p11(X0_15,X0_15),
    inference(demodulation,[status(thm)],[c_125]) ).

cnf(c_138,negated_conjecture,
    p2(X0_14,X0_14),
    inference(demodulation,[status(thm)],[c_124]) ).

cnf(c_139,negated_conjecture,
    p13(X0_13,X0_13),
    inference(demodulation,[status(thm)],[c_123]) ).

cnf(c_141,negated_conjecture,
    p11(f12(f14(X0_13,X0_15)),X0_15),
    inference(demodulation,[status(thm)],[c_121]) ).

cnf(c_144,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | p2(f6(X0_14),f6(X1_14)) ),
    inference(demodulation,[status(thm)],[c_118]) ).

cnf(c_145,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | p2(f5(X0_14),f5(X1_14)) ),
    inference(demodulation,[status(thm)],[c_117]) ).

cnf(c_146,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | p2(f3(X0_14),f3(X1_14)) ),
    inference(demodulation,[status(thm)],[c_116]) ).

cnf(c_148,negated_conjecture,
    p13(f15(f3(X0_14),X0_15),f15(X0_14,f12(X0_15))),
    inference(demodulation,[status(thm)],[c_114]) ).

cnf(c_150,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | ~ p2(X0_14,X2_14)
    | p2(X1_14,X2_14) ),
    inference(demodulation,[status(thm)],[c_112]) ).

cnf(c_151,negated_conjecture,
    ( ~ p13(X0_13,X1_13)
    | ~ p13(X0_13,X2_13)
    | p13(X1_13,X2_13) ),
    inference(demodulation,[status(thm)],[c_111]) ).

cnf(c_153,negated_conjecture,
    ( ~ p11(X0_15,X1_15)
    | ~ p13(X0_13,X1_13)
    | p11(f14(X0_13,X0_15),f14(X1_13,X1_15)) ),
    inference(demodulation,[status(thm)],[c_109]) ).

cnf(c_154,negated_conjecture,
    ( ~ p11(X0_15,X1_15)
    | ~ p2(X0_14,X1_14)
    | p13(f15(X0_14,X0_15),f15(X1_14,X1_15)) ),
    inference(demodulation,[status(thm)],[c_108]) ).

cnf(c_155,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | ~ p2(X2_14,X3_14)
    | p2(f4(X0_14,X2_14),f4(X1_14,X3_14)) ),
    inference(demodulation,[status(thm)],[c_107]) ).

cnf(c_156,negated_conjecture,
    ( ~ p19(X0_14,X1_14)
    | p2(f4(f4(f3(X1_14),sP2_iProver_def),X0_14),f3(f4(f4(X1_14,sP2_iProver_def),X0_14))) ),
    inference(demodulation,[status(thm)],[c_106,c_127,c_128]) ).

cnf(c_157,negated_conjecture,
    ~ p13(sP7_iProver_def,sP10_iProver_def),
    inference(demodulation,[status(thm)],[c_105,c_134,c_135,c_136,c_132,c_129,c_130,c_131,c_133]) ).

cnf(c_159,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_160,plain,
    X0_14 = X0_14,
    theory(equality) ).

cnf(c_162,plain,
    ( X0_13 != X1_13
    | X2_13 != X1_13
    | X2_13 = X0_13 ),
    theory(equality) ).

cnf(c_166,plain,
    ( X0_14 != X1_14
    | X2_14 != X3_14
    | ~ p2(X1_14,X3_14)
    | p2(X0_14,X2_14) ),
    theory(equality) ).

cnf(c_167,plain,
    ( X0_13 != X1_13
    | X2_13 != X3_13
    | ~ p13(X1_13,X3_13)
    | p13(X0_13,X2_13) ),
    theory(equality) ).

cnf(c_176,plain,
    ( X0_14 != X1_14
    | X2_14 != X3_14
    | f4(X0_14,X2_14) = f4(X1_14,X3_14) ),
    theory(equality) ).

cnf(c_195,plain,
    p13(c23,c23),
    inference(instantiation,[status(thm)],[c_139]) ).

cnf(c_196,plain,
    p11(c24,c24),
    inference(instantiation,[status(thm)],[c_137]) ).

cnf(c_199,plain,
    ( ~ p13(X0_13,sP7_iProver_def)
    | ~ p13(X0_13,sP10_iProver_def)
    | p13(sP7_iProver_def,sP10_iProver_def) ),
    inference(instantiation,[status(thm)],[c_151]) ).

cnf(c_211,plain,
    ( ~ p13(sP10_iProver_def,sP7_iProver_def)
    | ~ p13(sP10_iProver_def,sP10_iProver_def)
    | p13(sP7_iProver_def,sP10_iProver_def) ),
    inference(instantiation,[status(thm)],[c_199]) ).

cnf(c_212,plain,
    p13(sP10_iProver_def,sP10_iProver_def),
    inference(instantiation,[status(thm)],[c_139]) ).

cnf(c_213,plain,
    p11(f12(sP6_iProver_def),c24),
    inference(superposition,[status(thm)],[c_132,c_141]) ).

cnf(c_214,plain,
    ( ~ p2(c20,X0_14)
    | p2(sP1_iProver_def,f6(X0_14)) ),
    inference(superposition,[status(thm)],[c_127,c_144]) ).

cnf(c_219,plain,
    ( ~ p2(sP1_iProver_def,X0_14)
    | p2(sP2_iProver_def,f5(X0_14)) ),
    inference(superposition,[status(thm)],[c_128,c_145]) ).

cnf(c_231,plain,
    p2(c22,c22),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_234,plain,
    sP10_iProver_def = sP10_iProver_def,
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_236,plain,
    ( X0_13 != X1_13
    | sP10_iProver_def != X1_13
    | sP10_iProver_def = X0_13 ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_238,plain,
    ( ~ p2(X0_14,c22)
    | p2(f3(X0_14),sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_129,c_146]) ).

cnf(c_252,plain,
    ( sP7_iProver_def != X0_13
    | sP10_iProver_def != X1_13
    | ~ p13(X1_13,X0_13)
    | p13(sP10_iProver_def,sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_167]) ).

cnf(c_282,plain,
    ( ~ p13(f15(f3(X0_14),X0_15),X0_13)
    | p13(f15(X0_14,f12(X0_15)),X0_13) ),
    inference(superposition,[status(thm)],[c_148,c_151]) ).

cnf(c_294,plain,
    ( X0_13 != sP10_iProver_def
    | sP10_iProver_def != sP10_iProver_def
    | sP10_iProver_def = X0_13 ),
    inference(instantiation,[status(thm)],[c_236]) ).

cnf(c_307,plain,
    ( ~ p2(c20,c20)
    | p2(sP1_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_127,c_214]) ).

cnf(c_340,plain,
    ( sP7_iProver_def != sP7_iProver_def
    | sP10_iProver_def != X0_13
    | ~ p13(X0_13,sP7_iProver_def)
    | p13(sP10_iProver_def,sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_252]) ).

cnf(c_341,plain,
    sP7_iProver_def = sP7_iProver_def,
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_356,plain,
    c21 = c21,
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_362,plain,
    ( f15(sP9_iProver_def,c24) != sP10_iProver_def
    | sP10_iProver_def != sP10_iProver_def
    | sP10_iProver_def = f15(sP9_iProver_def,c24) ),
    inference(instantiation,[status(thm)],[c_294]) ).

cnf(c_397,plain,
    p2(c21,c21),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_432,plain,
    ( ~ p2(sP1_iProver_def,sP1_iProver_def)
    | p2(sP2_iProver_def,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_128,c_219]) ).

cnf(c_494,plain,
    ( ~ p11(c24,X0_15)
    | ~ p13(c23,X0_13)
    | p11(sP6_iProver_def,f14(X0_13,X0_15)) ),
    inference(superposition,[status(thm)],[c_132,c_153]) ).

cnf(c_507,plain,
    ( sP7_iProver_def != sP7_iProver_def
    | sP10_iProver_def != f15(sP9_iProver_def,c24)
    | ~ p13(f15(sP9_iProver_def,c24),sP7_iProver_def)
    | p13(sP10_iProver_def,sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_340]) ).

cnf(c_510,plain,
    ( ~ p11(X0_15,sP6_iProver_def)
    | ~ p2(X0_14,sP5_iProver_def)
    | p13(f15(X0_14,X0_15),sP7_iProver_def) ),
    inference(superposition,[status(thm)],[c_133,c_154]) ).

cnf(c_512,plain,
    ( ~ p13(f15(X0_14,X0_15),X0_13)
    | ~ p11(X0_15,X1_15)
    | ~ p2(X0_14,X1_14)
    | p13(f15(X1_14,X1_15),X0_13) ),
    inference(superposition,[status(thm)],[c_154,c_151]) ).

cnf(c_555,plain,
    ( ~ p2(X0_14,sP3_iProver_def)
    | ~ p2(X1_14,sP2_iProver_def)
    | p2(f4(X0_14,X1_14),sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_130,c_155]) ).

cnf(c_556,plain,
    ( ~ p2(X0_14,sP4_iProver_def)
    | ~ p2(X1_14,c21)
    | p2(f4(X0_14,X1_14),sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_131,c_155]) ).

cnf(c_617,plain,
    ( ~ p2(f4(f4(f3(X0_14),sP2_iProver_def),X1_14),X2_14)
    | ~ p19(X1_14,X0_14)
    | p2(f3(f4(f4(X0_14,sP2_iProver_def),X1_14)),X2_14) ),
    inference(superposition,[status(thm)],[c_156,c_150]) ).

cnf(c_645,plain,
    ( X0_14 != X1_14
    | sP9_iProver_def != X2_14
    | ~ p2(X1_14,X2_14)
    | p2(X0_14,sP9_iProver_def) ),
    inference(instantiation,[status(thm)],[c_166]) ).

cnf(c_649,plain,
    p2(sP9_iProver_def,sP9_iProver_def),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_847,plain,
    sP9_iProver_def = sP9_iProver_def,
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_972,plain,
    ( ~ p11(c24,c24)
    | ~ p13(c23,c23)
    | p11(sP6_iProver_def,sP6_iProver_def) ),
    inference(superposition,[status(thm)],[c_132,c_494]) ).

cnf(c_1190,plain,
    ( X0_14 != X1_14
    | sP9_iProver_def != sP9_iProver_def
    | ~ p2(X1_14,sP9_iProver_def)
    | p2(X0_14,sP9_iProver_def) ),
    inference(instantiation,[status(thm)],[c_645]) ).

cnf(c_1629,plain,
    ( X0_14 != sP9_iProver_def
    | sP9_iProver_def != sP9_iProver_def
    | ~ p2(sP9_iProver_def,sP9_iProver_def)
    | p2(X0_14,sP9_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1190]) ).

cnf(c_2145,plain,
    ( f4(sP8_iProver_def,c21) != sP9_iProver_def
    | sP9_iProver_def != sP9_iProver_def
    | ~ p2(sP9_iProver_def,sP9_iProver_def)
    | p2(f4(sP8_iProver_def,c21),sP9_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1629]) ).

cnf(c_4175,plain,
    ( X0_14 != f4(sP8_iProver_def,c21)
    | sP9_iProver_def != sP9_iProver_def
    | ~ p2(f4(sP8_iProver_def,c21),sP9_iProver_def)
    | p2(X0_14,sP9_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1190]) ).

cnf(c_4935,plain,
    ( X0_14 != sP8_iProver_def
    | X1_14 != c21
    | f4(X0_14,X1_14) = f4(sP8_iProver_def,c21) ),
    inference(instantiation,[status(thm)],[c_176]) ).

cnf(c_7776,plain,
    ( X0_14 != sP8_iProver_def
    | c21 != c21
    | f4(X0_14,c21) = f4(sP8_iProver_def,c21) ),
    inference(instantiation,[status(thm)],[c_4935]) ).

cnf(c_11814,plain,
    ( f4(c22,sP2_iProver_def) != sP8_iProver_def
    | c21 != c21
    | f4(f4(c22,sP2_iProver_def),c21) = f4(sP8_iProver_def,c21) ),
    inference(instantiation,[status(thm)],[c_7776]) ).

cnf(c_23456,plain,
    ( f4(f4(c22,sP2_iProver_def),c21) != f4(sP8_iProver_def,c21)
    | sP9_iProver_def != sP9_iProver_def
    | ~ p2(f4(sP8_iProver_def,c21),sP9_iProver_def)
    | p2(f4(f4(c22,sP2_iProver_def),c21),sP9_iProver_def) ),
    inference(instantiation,[status(thm)],[c_4175]) ).

cnf(c_59249,plain,
    ( ~ p2(X0_14,sP4_iProver_def)
    | ~ p2(c21,c21)
    | p2(f4(X0_14,c21),sP5_iProver_def) ),
    inference(instantiation,[status(thm)],[c_556]) ).

cnf(c_59413,plain,
    ( ~ p2(f4(f4(f3(c22),sP2_iProver_def),c21),X0_14)
    | ~ p19(c21,c22)
    | p2(f3(f4(f4(c22,sP2_iProver_def),c21)),X0_14) ),
    inference(instantiation,[status(thm)],[c_617]) ).

cnf(c_59453,plain,
    ( ~ p2(X0_14,sP3_iProver_def)
    | ~ p2(sP2_iProver_def,sP2_iProver_def)
    | p2(f4(X0_14,sP2_iProver_def),sP4_iProver_def) ),
    inference(instantiation,[status(thm)],[c_555]) ).

cnf(c_59619,plain,
    ( ~ p2(c22,c22)
    | p2(f3(c22),sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_238]) ).

cnf(c_59763,plain,
    ( ~ p2(f4(f4(f3(c22),sP2_iProver_def),c21),sP5_iProver_def)
    | ~ p19(c21,c22)
    | p2(f3(f4(f4(c22,sP2_iProver_def),c21)),sP5_iProver_def) ),
    inference(instantiation,[status(thm)],[c_59413]) ).

cnf(c_59764,plain,
    ( ~ p2(f4(f3(c22),sP2_iProver_def),sP4_iProver_def)
    | ~ p2(c21,c21)
    | p2(f4(f4(f3(c22),sP2_iProver_def),c21),sP5_iProver_def) ),
    inference(instantiation,[status(thm)],[c_59249]) ).

cnf(c_62155,plain,
    ( ~ p2(f3(c22),sP3_iProver_def)
    | ~ p2(sP2_iProver_def,sP2_iProver_def)
    | p2(f4(f3(c22),sP2_iProver_def),sP4_iProver_def) ),
    inference(instantiation,[status(thm)],[c_59453]) ).

cnf(c_72181,plain,
    ( ~ p2(f3(f4(f4(c22,sP2_iProver_def),c21)),sP5_iProver_def)
    | ~ p11(X0_15,sP6_iProver_def)
    | p13(f15(f3(f4(f4(c22,sP2_iProver_def),c21)),X0_15),sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_510]) ).

cnf(c_75324,plain,
    ( ~ p2(f3(f4(f4(c22,sP2_iProver_def),c21)),sP5_iProver_def)
    | ~ p11(sP6_iProver_def,sP6_iProver_def)
    | p13(f15(f3(f4(f4(c22,sP2_iProver_def),c21)),sP6_iProver_def),sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_72181]) ).

cnf(c_83051,plain,
    ( ~ p13(f15(f3(f4(f4(c22,sP2_iProver_def),c21)),sP6_iProver_def),sP7_iProver_def)
    | p13(f15(f4(f4(c22,sP2_iProver_def),c21),f12(sP6_iProver_def)),sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_282]) ).

cnf(c_92405,plain,
    ( ~ p13(f15(f4(f4(c22,sP2_iProver_def),c21),f12(sP6_iProver_def)),sP7_iProver_def)
    | ~ p2(f4(f4(c22,sP2_iProver_def),c21),X0_14)
    | ~ p11(f12(sP6_iProver_def),X0_15)
    | p13(f15(X0_14,X0_15),sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_512]) ).

cnf(c_111440,plain,
    ( ~ p13(f15(f4(f4(c22,sP2_iProver_def),c21),f12(sP6_iProver_def)),sP7_iProver_def)
    | ~ p2(f4(f4(c22,sP2_iProver_def),c21),sP9_iProver_def)
    | ~ p11(f12(sP6_iProver_def),X0_15)
    | p13(f15(sP9_iProver_def,X0_15),sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_92405]) ).

cnf(c_111441,plain,
    ( ~ p13(f15(f4(f4(c22,sP2_iProver_def),c21),f12(sP6_iProver_def)),sP7_iProver_def)
    | ~ p2(f4(f4(c22,sP2_iProver_def),c21),sP9_iProver_def)
    | ~ p11(f12(sP6_iProver_def),c24)
    | p13(f15(sP9_iProver_def,c24),sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_111440]) ).

cnf(c_111442,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_111441,c_83051,c_75324,c_62155,c_59764,c_59763,c_59619,c_23456,c_11814,c_2145,c_972,c_847,c_649,c_507,c_432,c_397,c_362,c_356,c_341,c_307,c_234,c_231,c_213,c_212,c_211,c_157,c_136,c_135,c_134,c_196,c_195,c_82,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN617-1 : TPTP v8.2.0. Released v2.5.0.
% 0.08/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Jun 23 22:18:09 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 33.08/5.24  % SZS status Started for theBenchmark.p
% 33.08/5.24  % SZS status Unsatisfiable for theBenchmark.p
% 33.08/5.24  
% 33.08/5.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 33.08/5.24  
% 33.08/5.24  ------  iProver source info
% 33.08/5.24  
% 33.08/5.24  git: date: 2024-06-12 09:56:46 +0000
% 33.08/5.24  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 33.08/5.24  git: non_committed_changes: false
% 33.08/5.24  
% 33.08/5.24  ------ Parsing...successful
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  ------ Preprocessing... sf_s  rm: 11 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 33.08/5.24  
% 33.08/5.24  ------ Preprocessing...
% 33.08/5.24  
% 33.08/5.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 33.08/5.24  ------ Proving...
% 33.08/5.24  ------ Problem Properties 
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  clauses                                 32
% 33.08/5.24  conjectures                             21
% 33.08/5.24  EPR                                     9
% 33.08/5.24  Horn                                    32
% 33.08/5.24  unary                                   19
% 33.08/5.24  binary                                  6
% 33.08/5.24  lits                                    53
% 33.08/5.24  lits eq                                 11
% 33.08/5.24  fd_pure                                 0
% 33.08/5.24  fd_pseudo                               0
% 33.08/5.24  fd_cond                                 0
% 33.08/5.24  fd_pseudo_cond                          0
% 33.08/5.24  AC symbols                              0
% 33.08/5.24  
% 33.08/5.24  ------ Input Options Time Limit: Unbounded
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  ------ 
% 33.08/5.24  Current options:
% 33.08/5.24  ------ 
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  ------ Proving...
% 33.08/5.24  
% 33.08/5.24  
% 33.08/5.24  % SZS status Unsatisfiable for theBenchmark.p
% 33.08/5.24  
% 33.08/5.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 33.08/5.25  
% 33.08/5.25  
%------------------------------------------------------------------------------