TSTP Solution File: LAT072-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT072-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 : Fri May  3 02:34:40 EDT 2024

% Result   : Unsatisfiable 188.41s 24.68s
% Output   : CNFRefutation 188.41s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X2,f(f(X1,X1),X2)),X2))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oml_23A) ).

cnf(c_50,negated_conjecture,
    f(a,f(f(b,c),f(b,c))) != f(c,f(f(b,a),f(b,a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

cnf(c_59,plain,
    f(b,c) = sP0_iProver_def,
    definition ).

cnf(c_60,plain,
    f(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_61,plain,
    f(a,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_62,plain,
    f(b,a) = sP3_iProver_def,
    definition ).

cnf(c_63,plain,
    f(sP3_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_64,plain,
    f(c,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_65,negated_conjecture,
    sP2_iProver_def != sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_62,c_63,c_64,c_59,c_60,c_61]) ).

cnf(c_104,plain,
    f(f(f(sP0_iProver_def,f(c,X0)),X1),f(c,f(f(X0,f(f(c,c),X0)),X0))) = c,
    inference(superposition,[status(thm)],[c_59,c_49]) ).

cnf(c_105,plain,
    f(f(f(sP3_iProver_def,f(a,X0)),X1),f(a,f(f(X0,f(f(a,a),X0)),X0))) = a,
    inference(superposition,[status(thm)],[c_62,c_49]) ).

cnf(c_106,plain,
    f(f(f(sP1_iProver_def,f(sP0_iProver_def,X0)),X1),f(sP0_iProver_def,f(f(X0,f(sP1_iProver_def,X0)),X0))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_60,c_49]) ).

cnf(c_107,plain,
    f(f(f(sP2_iProver_def,f(sP1_iProver_def,X0)),X1),f(sP1_iProver_def,f(f(X0,f(f(sP1_iProver_def,sP1_iProver_def),X0)),X0))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_61,c_49]) ).

cnf(c_108,plain,
    f(f(f(sP4_iProver_def,f(sP3_iProver_def,X0)),X1),f(sP3_iProver_def,f(f(X0,f(sP4_iProver_def,X0)),X0))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_63,c_49]) ).

cnf(c_109,plain,
    f(f(f(sP5_iProver_def,f(sP4_iProver_def,X0)),X1),f(sP4_iProver_def,f(f(X0,f(f(sP4_iProver_def,sP4_iProver_def),X0)),X0))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_64,c_49]) ).

cnf(c_111,plain,
    f(f(f(f(X0,b),sP0_iProver_def),X1),f(b,f(f(c,f(f(b,b),c)),c))) = b,
    inference(superposition,[status(thm)],[c_59,c_49]) ).

cnf(c_112,plain,
    f(f(f(f(X0,b),sP3_iProver_def),X1),f(b,f(f(a,f(f(b,b),a)),a))) = b,
    inference(superposition,[status(thm)],[c_62,c_49]) ).

cnf(c_113,plain,
    f(f(f(f(X0,sP0_iProver_def),sP1_iProver_def),X1),f(sP0_iProver_def,f(f(sP0_iProver_def,f(sP1_iProver_def,sP0_iProver_def)),sP0_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_60,c_49]) ).

cnf(c_118,plain,
    f(f(f(f(X0,sP0_iProver_def),f(sP0_iProver_def,X1)),X2),f(sP0_iProver_def,f(f(X1,f(sP1_iProver_def,X1)),X1))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_60,c_49]) ).

cnf(c_119,plain,
    f(f(f(f(X0,sP3_iProver_def),f(sP3_iProver_def,X1)),X2),f(sP3_iProver_def,f(f(X1,f(sP4_iProver_def,X1)),X1))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_63,c_49]) ).

cnf(c_123,plain,
    f(X0,f(f(X0,X1),f(f(X2,f(f(f(X0,X1),f(X0,X1)),X2)),X2))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_163,plain,
    f(f(f(sP0_iProver_def,sP5_iProver_def),X0),f(c,f(f(sP4_iProver_def,f(f(c,c),sP4_iProver_def)),sP4_iProver_def))) = c,
    inference(superposition,[status(thm)],[c_64,c_104]) ).

cnf(c_178,plain,
    f(f(f(sP1_iProver_def,sP1_iProver_def),X0),f(sP0_iProver_def,f(f(sP0_iProver_def,f(sP1_iProver_def,sP0_iProver_def)),sP0_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_60,c_106]) ).

cnf(c_181,plain,
    f(f(sP0_iProver_def,X0),f(sP0_iProver_def,f(f(f(f(X1,f(sP1_iProver_def,X1)),X1),f(f(sP0_iProver_def,sP0_iProver_def),f(f(X1,f(sP1_iProver_def,X1)),X1))),f(f(X1,f(sP1_iProver_def,X1)),X1)))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_106,c_49]) ).

cnf(c_184,plain,
    f(f(sP0_iProver_def,X0),f(sP0_iProver_def,f(f(f(f(X1,f(sP1_iProver_def,X1)),X1),f(sP1_iProver_def,f(f(X1,f(sP1_iProver_def,X1)),X1))),f(f(X1,f(sP1_iProver_def,X1)),X1)))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_181,c_60]) ).

cnf(c_206,plain,
    f(sP0_iProver_def,f(sP1_iProver_def,f(f(X0,f(f(sP1_iProver_def,sP1_iProver_def),X0)),X0))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_178,c_49]) ).

cnf(c_247,plain,
    f(f(f(sP4_iProver_def,sP4_iProver_def),X0),f(sP3_iProver_def,f(f(sP3_iProver_def,f(sP4_iProver_def,sP3_iProver_def)),sP3_iProver_def))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_63,c_108]) ).

cnf(c_277,plain,
    f(sP3_iProver_def,f(sP4_iProver_def,f(f(X0,f(f(sP4_iProver_def,sP4_iProver_def),X0)),X0))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_247,c_49]) ).

cnf(c_342,plain,
    f(c,f(sP5_iProver_def,f(f(X0,f(f(sP5_iProver_def,sP5_iProver_def),X0)),X0))) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_363,plain,
    f(f(f(sP3_iProver_def,sP2_iProver_def),X0),f(a,f(f(sP1_iProver_def,f(f(a,a),sP1_iProver_def)),sP1_iProver_def))) = a,
    inference(superposition,[status(thm)],[c_61,c_105]) ).

cnf(c_394,plain,
    f(a,f(sP2_iProver_def,f(f(X0,f(f(sP2_iProver_def,sP2_iProver_def),X0)),X0))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_363,c_49]) ).

cnf(c_468,plain,
    f(b,f(sP0_iProver_def,f(f(X0,f(f(sP0_iProver_def,sP0_iProver_def),X0)),X0))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_111,c_49]) ).

cnf(c_471,plain,
    f(b,f(sP0_iProver_def,f(f(X0,f(sP1_iProver_def,X0)),X0))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_468,c_60]) ).

cnf(c_515,plain,
    f(b,f(sP3_iProver_def,f(f(X0,f(f(sP3_iProver_def,sP3_iProver_def),X0)),X0))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_112,c_49]) ).

cnf(c_518,plain,
    f(b,f(sP3_iProver_def,f(f(X0,f(sP4_iProver_def,X0)),X0))) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_515,c_63]) ).

cnf(c_589,plain,
    f(f(f(f(X0,f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2))),f(f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2)),f(sP0_iProver_def,f(f(X2,f(sP1_iProver_def,X2)),X2)))),X3),f(f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2)),f(f(f(sP0_iProver_def,f(f(X2,f(sP1_iProver_def,X2)),X2)),sP0_iProver_def),f(sP0_iProver_def,f(f(X2,f(sP1_iProver_def,X2)),X2))))) = f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2)),
    inference(superposition,[status(thm)],[c_118,c_49]) ).

cnf(c_705,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X4,f(f(X1,X1),X4)),X4))) = X1,
    inference(superposition,[status(thm)],[c_49,c_123]) ).

cnf(c_713,plain,
    f(f(f(sP0_iProver_def,f(c,X0)),X1),f(c,f(f(X2,f(f(c,c),X2)),X2))) = c,
    inference(superposition,[status(thm)],[c_104,c_123]) ).

cnf(c_714,plain,
    f(f(f(sP3_iProver_def,f(a,X0)),X1),f(a,f(f(X2,f(f(a,a),X2)),X2))) = a,
    inference(superposition,[status(thm)],[c_105,c_123]) ).

cnf(c_716,plain,
    f(f(f(sP2_iProver_def,f(sP1_iProver_def,X0)),X1),f(sP1_iProver_def,f(f(X2,f(f(sP1_iProver_def,sP1_iProver_def),X2)),X2))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_107,c_123]) ).

cnf(c_717,plain,
    f(f(f(sP4_iProver_def,f(sP3_iProver_def,X0)),X1),f(sP3_iProver_def,f(f(X2,f(f(sP3_iProver_def,sP3_iProver_def),X2)),X2))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_108,c_123]) ).

cnf(c_718,plain,
    f(f(f(sP5_iProver_def,f(sP4_iProver_def,X0)),X1),f(sP4_iProver_def,f(f(X2,f(f(sP4_iProver_def,sP4_iProver_def),X2)),X2))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_109,c_123]) ).

cnf(c_719,plain,
    f(f(f(f(X0,b),sP0_iProver_def),X1),f(b,f(f(X2,f(f(b,b),X2)),X2))) = b,
    inference(superposition,[status(thm)],[c_111,c_123]) ).

cnf(c_720,plain,
    f(f(f(f(X0,b),sP3_iProver_def),X1),f(b,f(f(X2,f(f(b,b),X2)),X2))) = b,
    inference(superposition,[status(thm)],[c_112,c_123]) ).

cnf(c_721,plain,
    f(f(f(f(X0,sP0_iProver_def),sP1_iProver_def),X1),f(sP0_iProver_def,f(f(X2,f(f(sP0_iProver_def,sP0_iProver_def),X2)),X2))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_113,c_123]) ).

cnf(c_726,plain,
    f(f(f(f(X0,sP3_iProver_def),f(sP3_iProver_def,X1)),X2),f(sP3_iProver_def,f(f(X3,f(f(sP3_iProver_def,sP3_iProver_def),X3)),X3))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_119,c_123]) ).

cnf(c_733,plain,
    f(f(f(sP3_iProver_def,sP2_iProver_def),X0),f(a,f(f(X1,f(f(a,a),X1)),X1))) = a,
    inference(superposition,[status(thm)],[c_363,c_123]) ).

cnf(c_742,plain,
    f(X0,f(f(X0,X1),f(f(f(f(f(f(X0,X1),f(X0,X1)),X2),f(f(X3,f(f(f(f(f(X0,X1),f(X0,X1)),X2),f(f(f(X0,X1),f(X0,X1)),X2)),X3)),X3)),f(f(f(X0,X1),f(X0,X1)),X2)),f(f(f(f(X0,X1),f(X0,X1)),X2),f(f(X3,f(f(f(f(f(X0,X1),f(X0,X1)),X2),f(f(f(X0,X1),f(X0,X1)),X2)),X3)),X3))))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_123,c_123]) ).

cnf(c_802,plain,
    f(f(f(f(X0,sP0_iProver_def),sP1_iProver_def),X1),f(sP0_iProver_def,f(f(X2,f(sP1_iProver_def,X2)),X2))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_721,c_60]) ).

cnf(c_803,plain,
    f(f(f(sP4_iProver_def,f(sP3_iProver_def,X0)),X1),f(sP3_iProver_def,f(f(X2,f(sP4_iProver_def,X2)),X2))) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_717,c_63]) ).

cnf(c_813,plain,
    f(f(f(f(X0,sP3_iProver_def),f(sP3_iProver_def,X1)),X2),f(sP3_iProver_def,f(f(X3,f(sP4_iProver_def,X3)),X3))) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_726,c_63]) ).

cnf(c_1251,plain,
    f(f(sP3_iProver_def,X0),f(sP3_iProver_def,f(f(X1,f(sP4_iProver_def,X1)),X1))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_813,c_813]) ).

cnf(c_1268,plain,
    f(sP4_iProver_def,f(sP3_iProver_def,f(f(X0,f(sP4_iProver_def,X0)),X0))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_277,c_1251]) ).

cnf(c_1274,plain,
    f(sP3_iProver_def,f(a,f(f(X0,f(f(a,a),X0)),X0))) = a,
    inference(superposition,[status(thm)],[c_1251,c_733]) ).

cnf(c_1347,plain,
    f(a,f(sP3_iProver_def,f(f(X0,f(sP4_iProver_def,X0)),X0))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_1274,c_1251]) ).

cnf(c_1365,plain,
    f(f(f(sP3_iProver_def,sP3_iProver_def),X0),f(a,f(f(X1,f(f(a,a),X1)),X1))) = a,
    inference(superposition,[status(thm)],[c_1347,c_714]) ).

cnf(c_1367,plain,
    f(f(sP4_iProver_def,X0),f(a,f(f(X1,f(f(a,a),X1)),X1))) = a,
    inference(light_normalisation,[status(thm)],[c_1365,c_63]) ).

cnf(c_2101,plain,
    f(f(X0,X1),f(X0,f(f(X2,f(f(X0,X0),X2)),X2))) = X0,
    inference(superposition,[status(thm)],[c_705,c_705]) ).

cnf(c_2506,plain,
    f(f(sP0_iProver_def,X0),f(sP0_iProver_def,f(f(X1,f(f(sP0_iProver_def,sP0_iProver_def),X1)),X1))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_184,c_705]) ).

cnf(c_2512,plain,
    f(f(sP0_iProver_def,X0),f(sP0_iProver_def,f(f(X1,f(sP1_iProver_def,X1)),X1))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2506,c_60]) ).

cnf(c_2530,plain,
    f(sP1_iProver_def,f(sP0_iProver_def,f(f(X0,f(sP1_iProver_def,X0)),X0))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_206,c_2512]) ).

cnf(c_2538,plain,
    f(sP0_iProver_def,f(c,f(f(X0,f(f(c,c),X0)),X0))) = c,
    inference(superposition,[status(thm)],[c_2512,c_713]) ).

cnf(c_2612,plain,
    f(c,f(sP0_iProver_def,f(f(X0,f(sP1_iProver_def,X0)),X0))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2538,c_2512]) ).

cnf(c_2634,plain,
    f(f(f(sP0_iProver_def,sP0_iProver_def),X0),f(c,f(f(X1,f(f(c,c),X1)),X1))) = c,
    inference(superposition,[status(thm)],[c_2612,c_713]) ).

cnf(c_2636,plain,
    f(f(sP1_iProver_def,X0),f(c,f(f(X1,f(f(c,c),X1)),X1))) = c,
    inference(light_normalisation,[status(thm)],[c_2634,c_60]) ).

cnf(c_2750,plain,
    f(sP5_iProver_def,f(c,f(f(X0,f(f(c,c),X0)),X0))) = c,
    inference(superposition,[status(thm)],[c_342,c_2101]) ).

cnf(c_2751,plain,
    f(sP2_iProver_def,f(a,f(f(X0,f(f(a,a),X0)),X0))) = a,
    inference(superposition,[status(thm)],[c_394,c_2101]) ).

cnf(c_2752,plain,
    f(sP0_iProver_def,f(b,f(f(X0,f(f(b,b),X0)),X0))) = b,
    inference(superposition,[status(thm)],[c_471,c_2101]) ).

cnf(c_2753,plain,
    f(sP3_iProver_def,f(b,f(f(X0,f(f(b,b),X0)),X0))) = b,
    inference(superposition,[status(thm)],[c_518,c_2101]) ).

cnf(c_2817,plain,
    f(f(X0,X1),f(X1,f(f(X2,f(f(X1,X1),X2)),X2))) = X1,
    inference(superposition,[status(thm)],[c_2101,c_705]) ).

cnf(c_2828,plain,
    f(sP2_iProver_def,f(sP1_iProver_def,f(f(X0,f(f(sP1_iProver_def,sP1_iProver_def),X0)),X0))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_2101,c_716]) ).

cnf(c_2832,plain,
    f(sP5_iProver_def,f(sP4_iProver_def,f(f(X0,f(f(sP4_iProver_def,sP4_iProver_def),X0)),X0))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_2101,c_718]) ).

cnf(c_2837,plain,
    f(f(X0,sP0_iProver_def),f(sP0_iProver_def,f(f(X1,f(sP1_iProver_def,X1)),X1))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2101,c_802]) ).

cnf(c_2842,plain,
    f(f(X0,sP3_iProver_def),f(sP3_iProver_def,f(f(X1,f(sP4_iProver_def,X1)),X1))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_2101,c_813]) ).

cnf(c_3354,plain,
    f(f(f(f(X0,sP5_iProver_def),c),X1),f(sP5_iProver_def,f(f(X2,f(f(sP5_iProver_def,sP5_iProver_def),X2)),X2))) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_2750,c_705]) ).

cnf(c_3363,plain,
    f(f(f(f(X0,sP2_iProver_def),a),X1),f(sP2_iProver_def,f(f(X2,f(f(sP2_iProver_def,sP2_iProver_def),X2)),X2))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_2751,c_705]) ).

cnf(c_3387,plain,
    f(f(f(f(X0,sP0_iProver_def),b),X1),f(sP0_iProver_def,f(f(X2,f(f(sP0_iProver_def,sP0_iProver_def),X2)),X2))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2752,c_705]) ).

cnf(c_3391,plain,
    f(f(f(f(X0,sP0_iProver_def),b),X1),f(sP0_iProver_def,f(f(X2,f(sP1_iProver_def,X2)),X2))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_3387,c_60]) ).

cnf(c_3404,plain,
    f(f(f(f(X0,sP3_iProver_def),b),X1),f(sP3_iProver_def,f(f(X2,f(sP4_iProver_def,X2)),X2))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_2753,c_813]) ).

cnf(c_3420,plain,
    f(sP1_iProver_def,f(sP2_iProver_def,f(f(X0,f(f(sP2_iProver_def,sP2_iProver_def),X0)),X0))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_2828,c_2101]) ).

cnf(c_3432,plain,
    f(sP4_iProver_def,f(sP5_iProver_def,f(f(X0,f(f(sP5_iProver_def,sP5_iProver_def),X0)),X0))) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_2832,c_2101]) ).

cnf(c_3597,plain,
    f(sP5_iProver_def,f(a,f(f(X0,f(f(a,a),X0)),X0))) = a,
    inference(superposition,[status(thm)],[c_3432,c_1367]) ).

cnf(c_3683,plain,
    f(a,f(sP5_iProver_def,f(f(X0,f(f(sP5_iProver_def,sP5_iProver_def),X0)),X0))) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_3597,c_2101]) ).

cnf(c_3783,plain,
    f(sP2_iProver_def,f(c,f(f(X0,f(f(c,c),X0)),X0))) = c,
    inference(superposition,[status(thm)],[c_3420,c_2636]) ).

cnf(c_3823,plain,
    f(c,f(sP2_iProver_def,f(f(X0,f(f(sP2_iProver_def,sP2_iProver_def),X0)),X0))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_3783,c_2101]) ).

cnf(c_3948,plain,
    f(X0,f(f(X1,X0),f(f(X2,f(f(f(X1,X0),f(X1,X0)),X2)),X2))) = f(X1,X0),
    inference(superposition,[status(thm)],[c_2817,c_2101]) ).

cnf(c_3976,plain,
    f(sP1_iProver_def,f(sP0_iProver_def,f(sP1_iProver_def,f(f(sP1_iProver_def,f(f(sP1_iProver_def,sP1_iProver_def),sP1_iProver_def)),sP1_iProver_def)))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2817,c_2530]) ).

cnf(c_3986,plain,
    f(sP4_iProver_def,f(sP3_iProver_def,f(sP4_iProver_def,f(f(sP4_iProver_def,f(f(sP4_iProver_def,sP4_iProver_def),sP4_iProver_def)),sP4_iProver_def)))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_2817,c_1268]) ).

cnf(c_4777,plain,
    f(sP1_iProver_def,sP1_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_3976,c_206]) ).

cnf(c_4781,plain,
    f(sP0_iProver_def,f(sP1_iProver_def,f(f(X0,f(sP0_iProver_def,X0)),X0))) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_206,c_4777]) ).

cnf(c_4790,plain,
    f(f(X0,sP1_iProver_def),f(sP1_iProver_def,f(f(X1,f(sP0_iProver_def,X1)),X1))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_4777,c_2817]) ).

cnf(c_4792,plain,
    f(f(sP1_iProver_def,X0),f(sP1_iProver_def,f(f(X1,f(sP0_iProver_def,X1)),X1))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_4777,c_2101]) ).

cnf(c_5075,plain,
    f(f(X0,sP1_iProver_def),f(sP1_iProver_def,f(sP0_iProver_def,f(f(sP0_iProver_def,f(sP1_iProver_def,sP0_iProver_def)),sP0_iProver_def)))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_2837,c_4790]) ).

cnf(c_5096,plain,
    f(f(X0,sP0_iProver_def),f(sP0_iProver_def,f(sP1_iProver_def,f(f(sP1_iProver_def,f(sP0_iProver_def,sP1_iProver_def)),sP1_iProver_def)))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_4790,c_2837]) ).

cnf(c_5176,plain,
    f(f(sP1_iProver_def,X0),f(sP1_iProver_def,f(f(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_60,c_4792]) ).

cnf(c_5385,plain,
    f(sP4_iProver_def,sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_3986,c_277]) ).

cnf(c_5389,plain,
    f(sP3_iProver_def,f(sP4_iProver_def,f(f(X0,f(sP3_iProver_def,X0)),X0))) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_277,c_5385]) ).

cnf(c_5398,plain,
    f(f(X0,sP4_iProver_def),f(sP4_iProver_def,f(f(X1,f(sP3_iProver_def,X1)),X1))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_5385,c_2817]) ).

cnf(c_5400,plain,
    f(f(sP4_iProver_def,X0),f(sP4_iProver_def,f(f(X1,f(sP3_iProver_def,X1)),X1))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_5385,c_2101]) ).

cnf(c_5409,plain,
    f(f(f(sP4_iProver_def,f(sP3_iProver_def,X0)),X1),f(sP3_iProver_def,f(f(sP4_iProver_def,sP3_iProver_def),sP4_iProver_def))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_5385,c_803]) ).

cnf(c_5645,plain,
    f(f(X0,sP4_iProver_def),f(sP4_iProver_def,f(sP3_iProver_def,f(f(sP3_iProver_def,f(sP4_iProver_def,sP3_iProver_def)),sP3_iProver_def)))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_2842,c_5398]) ).

cnf(c_5665,plain,
    f(f(X0,sP3_iProver_def),f(sP3_iProver_def,f(sP4_iProver_def,f(f(sP4_iProver_def,f(sP3_iProver_def,sP4_iProver_def)),sP4_iProver_def)))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_5398,c_2842]) ).

cnf(c_5789,plain,
    f(f(sP4_iProver_def,X0),f(sP4_iProver_def,f(f(sP3_iProver_def,sP4_iProver_def),sP3_iProver_def))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_63,c_5400]) ).

cnf(c_6041,plain,
    f(f(X0,sP1_iProver_def),sP0_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_5075,c_2530]) ).

cnf(c_6042,plain,
    f(f(sP1_iProver_def,X0),f(sP1_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_5176,c_6041]) ).

cnf(c_6049,plain,
    f(f(sP1_iProver_def,X0),sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6042,c_4777]) ).

cnf(c_6088,plain,
    f(f(sP1_iProver_def,X0),f(b,f(f(X1,f(f(b,b),X1)),X1))) = b,
    inference(superposition,[status(thm)],[c_6049,c_719]) ).

cnf(c_6103,plain,
    f(f(X0,sP0_iProver_def),sP1_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_5096,c_4781]) ).

cnf(c_6599,plain,
    f(f(X0,sP4_iProver_def),sP3_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_5645,c_1268]) ).

cnf(c_6600,plain,
    f(f(sP4_iProver_def,X0),f(sP4_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_5789,c_6599]) ).

cnf(c_6607,plain,
    f(f(sP4_iProver_def,X0),sP3_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6600,c_5385]) ).

cnf(c_6647,plain,
    f(f(sP4_iProver_def,X0),f(b,f(f(X1,f(f(b,b),X1)),X1))) = b,
    inference(superposition,[status(thm)],[c_6607,c_720]) ).

cnf(c_6663,plain,
    f(f(X0,sP3_iProver_def),sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_5665,c_5389]) ).

cnf(c_6666,plain,
    f(f(f(sP4_iProver_def,f(sP3_iProver_def,X0)),X1),f(sP3_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_5409,c_6663]) ).

cnf(c_6681,plain,
    f(f(f(sP4_iProver_def,f(sP3_iProver_def,X0)),X1),sP4_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6666,c_63]) ).

cnf(c_6786,plain,
    f(sP4_iProver_def,f(f(sP4_iProver_def,f(sP3_iProver_def,X0)),f(f(sP4_iProver_def,sP3_iProver_def),sP4_iProver_def))) = f(sP4_iProver_def,f(sP3_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_6681,c_123]) ).

cnf(c_7705,plain,
    f(sP2_iProver_def,f(b,f(f(X0,f(f(b,b),X0)),X0))) = b,
    inference(superposition,[status(thm)],[c_3420,c_6088]) ).

cnf(c_7738,plain,
    f(f(f(f(X0,sP2_iProver_def),b),X1),f(sP2_iProver_def,f(f(X2,f(f(sP2_iProver_def,sP2_iProver_def),X2)),X2))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_7705,c_705]) ).

cnf(c_7891,plain,
    f(f(f(f(X0,f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2))),f(f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2)),f(sP0_iProver_def,f(f(X2,f(sP1_iProver_def,X2)),X2)))),X3),f(f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2)),sP0_iProver_def)) = f(f(X1,sP0_iProver_def),f(sP0_iProver_def,X2)),
    inference(demodulation,[status(thm)],[c_589,c_2837]) ).

cnf(c_7893,plain,
    f(f(X0,sP0_iProver_def),f(f(f(X0,sP0_iProver_def),f(sP0_iProver_def,X1)),sP0_iProver_def)) = f(f(X0,sP0_iProver_def),f(sP0_iProver_def,X1)),
    inference(superposition,[status(thm)],[c_705,c_7891]) ).

cnf(c_8598,plain,
    f(sP5_iProver_def,f(b,f(f(X0,f(f(b,b),X0)),X0))) = b,
    inference(superposition,[status(thm)],[c_3432,c_6647]) ).

cnf(c_8631,plain,
    f(f(f(f(X0,sP5_iProver_def),b),X1),f(sP5_iProver_def,f(f(X2,f(f(sP5_iProver_def,sP5_iProver_def),X2)),X2))) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_8598,c_705]) ).

cnf(c_9360,plain,
    f(f(f(f(X0,sP0_iProver_def),b),X1),f(sP0_iProver_def,f(f(sP1_iProver_def,sP0_iProver_def),sP1_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_4777,c_3391]) ).

cnf(c_9488,plain,
    f(f(f(f(X0,sP0_iProver_def),b),X1),sP1_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_9360,c_60,c_6103]) ).

cnf(c_9597,plain,
    f(f(f(f(X0,sP3_iProver_def),b),X1),f(sP3_iProver_def,f(f(sP4_iProver_def,sP3_iProver_def),sP4_iProver_def))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_5385,c_3404]) ).

cnf(c_9664,plain,
    f(f(f(f(X0,sP3_iProver_def),b),X1),sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_9597,c_63,c_6663]) ).

cnf(c_9680,plain,
    f(f(X0,sP3_iProver_def),f(f(f(X0,sP3_iProver_def),b),f(f(sP4_iProver_def,sP3_iProver_def),sP4_iProver_def))) = f(f(X0,sP3_iProver_def),b),
    inference(superposition,[status(thm)],[c_9664,c_123]) ).

cnf(c_11927,plain,
    f(sP4_iProver_def,f(sP3_iProver_def,X0)) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_6786,c_5385,c_6607,c_6663]) ).

cnf(c_15832,plain,
    f(f(X0,sP0_iProver_def),f(f(f(X0,sP0_iProver_def),b),sP0_iProver_def)) = f(f(X0,sP0_iProver_def),b),
    inference(superposition,[status(thm)],[c_2752,c_7893]) ).

cnf(c_16203,plain,
    f(f(X0,sP3_iProver_def),f(f(f(X0,sP3_iProver_def),b),sP3_iProver_def)) = f(f(X0,sP3_iProver_def),b),
    inference(demodulation,[status(thm)],[c_9680,c_6663]) ).

cnf(c_17988,plain,
    f(f(X0,f(f(X1,X2),f(X2,X3))),f(X2,f(f(X4,f(f(X2,X2),X4)),X4))) = X2,
    inference(superposition,[status(thm)],[c_3948,c_705]) ).

cnf(c_18036,plain,
    f(sP4_iProver_def,f(X0,sP3_iProver_def)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_3948,c_11927]) ).

cnf(c_18233,plain,
    f(f(X0,f(f(X1,sP0_iProver_def),b)),sP1_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_3948,c_9488]) ).

cnf(c_18238,plain,
    f(f(X0,f(f(X1,sP3_iProver_def),b)),sP4_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_3948,c_9664]) ).

cnf(c_26054,plain,
    f(f(X0,X1),f(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_17988,c_2817]) ).

cnf(c_26057,plain,
    f(X0,f(f(X0,X1),f(X0,X1))) = f(X0,X1),
    inference(superposition,[status(thm)],[c_17988,c_123]) ).

cnf(c_26060,plain,
    f(f(X0,X1),f(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_17988,c_2101]) ).

cnf(c_26096,plain,
    f(f(f(f(X0,sP5_iProver_def),b),X1),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_17988,c_8631]) ).

cnf(c_26099,plain,
    f(f(f(f(X0,sP5_iProver_def),c),X1),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_17988,c_3354]) ).

cnf(c_26105,plain,
    f(a,f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_17988,c_3683]) ).

cnf(c_26117,plain,
    f(c,f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_17988,c_3823]) ).

cnf(c_26126,plain,
    f(f(f(f(X0,sP2_iProver_def),b),X1),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_17988,c_7738]) ).

cnf(c_26129,plain,
    f(f(f(f(X0,sP2_iProver_def),a),X1),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_17988,c_3363]) ).

cnf(c_26148,plain,
    f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_17988,c_705]) ).

cnf(c_26207,plain,
    f(sP3_iProver_def,f(b,b)) = b,
    inference(superposition,[status(thm)],[c_17988,c_2753]) ).

cnf(c_26223,plain,
    f(X0,f(f(X1,X0),f(X1,X0))) = f(X1,X0),
    inference(superposition,[status(thm)],[c_17988,c_3948]) ).

cnf(c_30277,plain,
    f(f(f(X0,X0),X1),X0) = f(X0,X0),
    inference(superposition,[status(thm)],[c_26060,c_26060]) ).

cnf(c_31417,plain,
    f(X0,f(f(X1,f(f(X0,X0),X1)),X1)) = f(X0,X0),
    inference(superposition,[status(thm)],[c_2101,c_26057]) ).

cnf(c_34241,plain,
    f(f(X0,f(b,b)),sP1_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_30277,c_18233]) ).

cnf(c_34242,plain,
    f(f(f(b,b),sP0_iProver_def),f(f(b,b),sP0_iProver_def)) = f(b,b),
    inference(superposition,[status(thm)],[c_30277,c_15832]) ).

cnf(c_34245,plain,
    f(f(X0,f(b,b)),sP4_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_30277,c_18238]) ).

cnf(c_34246,plain,
    f(f(f(b,b),sP3_iProver_def),f(f(b,b),sP3_iProver_def)) = f(b,b),
    inference(superposition,[status(thm)],[c_30277,c_16203]) ).

cnf(c_34602,plain,
    f(X0,f(f(X0,X1),f(f(f(X0,X1),f(X0,X1)),X2))) = f(X0,X1),
    inference(demodulation,[status(thm)],[c_742,c_26054,c_31417]) ).

cnf(c_35052,plain,
    f(f(X0,X1),f(X0,f(f(X0,X0),X2))) = X0,
    inference(superposition,[status(thm)],[c_26060,c_34602]) ).

cnf(c_36208,plain,
    f(b,f(f(b,b),sP0_iProver_def)) = f(b,b),
    inference(superposition,[status(thm)],[c_34241,c_34602]) ).

cnf(c_36300,plain,
    f(b,f(f(b,b),sP3_iProver_def)) = f(b,b),
    inference(superposition,[status(thm)],[c_34245,c_34602]) ).

cnf(c_37586,plain,
    f(f(b,b),f(f(f(b,b),sP0_iProver_def),f(f(b,b),sP0_iProver_def))) = f(f(b,b),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_36208,c_26054]) ).

cnf(c_37592,plain,
    f(f(b,b),f(b,b)) = f(f(b,b),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_37586,c_34242]) ).

cnf(c_37599,plain,
    f(f(b,b),f(f(f(b,b),sP3_iProver_def),f(f(b,b),sP3_iProver_def))) = f(f(b,b),sP3_iProver_def),
    inference(superposition,[status(thm)],[c_36300,c_26054]) ).

cnf(c_37606,plain,
    f(f(b,b),sP0_iProver_def) = f(f(b,b),sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_37599,c_34246,c_37592]) ).

cnf(c_38235,plain,
    f(sP4_iProver_def,f(f(b,b),sP0_iProver_def)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_37606,c_18036]) ).

cnf(c_38276,plain,
    f(sP3_iProver_def,f(f(f(b,b),sP0_iProver_def),f(f(b,b),sP0_iProver_def))) = f(f(b,b),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_38235,c_26054]) ).

cnf(c_38298,plain,
    f(f(b,b),sP0_iProver_def) = b,
    inference(light_normalisation,[status(thm)],[c_38276,c_26207,c_34242]) ).

cnf(c_39627,plain,
    f(f(f(b,b),X0),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_30277,c_26096]) ).

cnf(c_40074,plain,
    f(f(f(b,b),X0),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_30277,c_26126]) ).

cnf(c_42250,plain,
    f(f(X0,f(b,b)),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_26223,c_40074]) ).

cnf(c_42251,plain,
    f(f(X0,f(b,b)),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_26223,c_39627]) ).

cnf(c_60960,plain,
    f(X0,f(f(X0,X0),X1)) = f(X0,X0),
    inference(superposition,[status(thm)],[c_35052,c_26057]) ).

cnf(c_62559,plain,
    f(f(b,b),f(b,b)) = f(f(b,b),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_42250,c_60960]) ).

cnf(c_62560,plain,
    f(f(b,b),f(b,b)) = f(f(b,b),sP5_iProver_def),
    inference(superposition,[status(thm)],[c_42251,c_60960]) ).

cnf(c_62581,plain,
    f(f(X0,X0),f(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_26054,c_60960]) ).

cnf(c_62915,plain,
    f(f(b,b),sP5_iProver_def) = b,
    inference(light_normalisation,[status(thm)],[c_62560,c_37592,c_38298]) ).

cnf(c_62916,plain,
    f(f(b,b),sP2_iProver_def) = b,
    inference(light_normalisation,[status(thm)],[c_62559,c_37592,c_38298]) ).

cnf(c_63474,plain,
    f(f(f(b,c),X0),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_62915,c_26099]) ).

cnf(c_63487,plain,
    f(f(sP0_iProver_def,X0),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_63474,c_59]) ).

cnf(c_63518,plain,
    f(f(f(b,a),X0),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_62916,c_26129]) ).

cnf(c_63526,plain,
    f(f(sP3_iProver_def,X0),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_63518,c_62]) ).

cnf(c_63859,plain,
    f(f(f(X0,X1),f(X0,X1)),X0) = f(X0,X1),
    inference(superposition,[status(thm)],[c_26060,c_62581]) ).

cnf(c_63871,plain,
    f(f(a,a),sP5_iProver_def) = a,
    inference(superposition,[status(thm)],[c_26105,c_62581]) ).

cnf(c_63873,plain,
    f(f(c,c),sP2_iProver_def) = c,
    inference(superposition,[status(thm)],[c_26117,c_62581]) ).

cnf(c_65412,plain,
    f(f(f(a,f(sP5_iProver_def,X0)),X1),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_63871,c_26148]) ).

cnf(c_65437,plain,
    f(f(f(c,f(sP2_iProver_def,X0)),X1),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_63873,c_26148]) ).

cnf(c_65484,plain,
    f(sP0_iProver_def,sP0_iProver_def) = f(sP5_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_63487,c_30277]) ).

cnf(c_65498,plain,
    f(sP5_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_65484,c_60]) ).

cnf(c_65742,plain,
    f(sP2_iProver_def,sP3_iProver_def) = f(sP3_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_63526,c_30277]) ).

cnf(c_65756,plain,
    f(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_65742,c_63]) ).

cnf(c_138067,plain,
    f(f(f(a,sP1_iProver_def),X0),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_65498,c_65412]) ).

cnf(c_138107,plain,
    f(f(sP2_iProver_def,X0),f(sP5_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_138067,c_61]) ).

cnf(c_138290,plain,
    f(f(sP5_iProver_def,sP5_iProver_def),f(sP2_iProver_def,X0)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_138107,c_63859]) ).

cnf(c_138830,plain,
    f(f(f(c,sP4_iProver_def),X0),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_65756,c_65437]) ).

cnf(c_138865,plain,
    f(f(sP5_iProver_def,X0),f(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_138830,c_64]) ).

cnf(c_138958,plain,
    sP2_iProver_def = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_138865,c_138290]) ).

cnf(c_138960,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_138958,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT072-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 18:38:48 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.44  Running UEQ theorem proving
% 0.16/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 188.41/24.68  % SZS status Started for theBenchmark.p
% 188.41/24.68  % SZS status Unsatisfiable for theBenchmark.p
% 188.41/24.68  
% 188.41/24.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 188.41/24.68  
% 188.41/24.68  ------  iProver source info
% 188.41/24.68  
% 188.41/24.68  git: date: 2024-05-02 19:28:25 +0000
% 188.41/24.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 188.41/24.68  git: non_committed_changes: false
% 188.41/24.68  
% 188.41/24.68  ------ Parsing...successful
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 188.41/24.68  
% 188.41/24.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 188.41/24.68  
% 188.41/24.68  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 188.41/24.68  ------ Proving...
% 188.41/24.68  ------ Problem Properties 
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  clauses                                 8
% 188.41/24.68  conjectures                             1
% 188.41/24.68  EPR                                     1
% 188.41/24.68  Horn                                    8
% 188.41/24.68  unary                                   8
% 188.41/24.68  binary                                  0
% 188.41/24.68  lits                                    8
% 188.41/24.68  lits eq                                 8
% 188.41/24.68  fd_pure                                 0
% 188.41/24.68  fd_pseudo                               0
% 188.41/24.68  fd_cond                                 0
% 188.41/24.68  fd_pseudo_cond                          0
% 188.41/24.68  AC symbols                              0
% 188.41/24.68  
% 188.41/24.68  ------ Input Options Time Limit: Unbounded
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  ------ 
% 188.41/24.68  Current options:
% 188.41/24.68  ------ 
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  ------ Proving...
% 188.41/24.68  
% 188.41/24.68  
% 188.41/24.68  % SZS status Unsatisfiable for theBenchmark.p
% 188.41/24.68  
% 188.41/24.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 188.41/24.68  
% 188.41/24.69  
%------------------------------------------------------------------------------