TSTP Solution File: LCL227-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL227-3 : TPTP v8.1.2. Released v2.3.0.
% 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 02:37:21 EDT 2024

% Result   : Unsatisfiable 170.11s 23.27s
% Output   : CNFRefutation 170.11s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(implies(implies(q,implies(r,s)),implies(or(p,q),implies(or(p,r),or(p,s))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c_51,plain,
    axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c_52,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c_53,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c_54,plain,
    axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(c_55,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_56,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_57,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_104,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_105,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_104]) ).

cnf(c_110,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_111,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_110]) ).

cnf(c_116,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).

cnf(c_117,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_116]) ).

cnf(c_122,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).

cnf(c_123,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_122]) ).

cnf(c_128,plain,
    ( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).

cnf(c_129,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_128]) ).

cnf(c_168,plain,
    implies(r,s) = sP0_iProver_def,
    definition ).

cnf(c_169,plain,
    implies(q,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_170,plain,
    or(p,q) = sP2_iProver_def,
    definition ).

cnf(c_171,plain,
    or(p,r) = sP3_iProver_def,
    definition ).

cnf(c_172,plain,
    or(p,s) = sP4_iProver_def,
    definition ).

cnf(c_173,plain,
    implies(sP3_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_174,plain,
    implies(sP2_iProver_def,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_175,plain,
    implies(sP1_iProver_def,sP6_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_176,negated_conjecture,
    ~ theorem(sP7_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_172,c_171,c_173,c_170,c_174,c_168,c_169,c_175]) ).

cnf(c_324,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_111]) ).

cnf(c_335,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_55,c_123]) ).

cnf(c_383,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_324,c_57]) ).

cnf(c_524,plain,
    theorem(implies(sP0_iProver_def,implies(or(X0,r),or(X0,s)))),
    inference(superposition,[status(thm)],[c_168,c_129]) ).

cnf(c_532,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
    inference(superposition,[status(thm)],[c_55,c_129]) ).

cnf(c_716,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_335,c_55]) ).

cnf(c_720,plain,
    theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_716]) ).

cnf(c_725,plain,
    theorem(implies(implies(sP2_iProver_def,or(X0,sP5_iProver_def)),or(X0,sP6_iProver_def))),
    inference(superposition,[status(thm)],[c_174,c_716]) ).

cnf(c_1013,plain,
    theorem(implies(sP0_iProver_def,implies(or(p,r),sP4_iProver_def))),
    inference(superposition,[status(thm)],[c_172,c_524]) ).

cnf(c_1016,plain,
    theorem(implies(sP0_iProver_def,sP5_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_1013,c_171,c_173]) ).

cnf(c_1596,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_532,c_55]) ).

cnf(c_1603,plain,
    theorem(implies(implies(sP0_iProver_def,X0),implies(sP1_iProver_def,implies(q,X0)))),
    inference(superposition,[status(thm)],[c_169,c_1596]) ).

cnf(c_1766,plain,
    ( ~ theorem(implies(sP2_iProver_def,or(X0,sP5_iProver_def)))
    | theorem(or(X0,sP6_iProver_def)) ),
    inference(superposition,[status(thm)],[c_725,c_57]) ).

cnf(c_2117,plain,
    ( ~ theorem(implies(sP0_iProver_def,X0))
    | theorem(implies(sP1_iProver_def,implies(q,X0))) ),
    inference(superposition,[status(thm)],[c_1603,c_57]) ).

cnf(c_2178,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_720,c_55]) ).

cnf(c_2188,plain,
    theorem(implies(implies(sP1_iProver_def,implies(X0,sP6_iProver_def)),implies(X0,sP7_iProver_def))),
    inference(superposition,[status(thm)],[c_175,c_2178]) ).

cnf(c_3056,plain,
    ( ~ theorem(implies(sP1_iProver_def,implies(X0,sP6_iProver_def)))
    | theorem(implies(X0,sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_2188,c_57]) ).

cnf(c_5861,plain,
    ( ~ theorem(or(X0,sP5_iProver_def))
    | theorem(or(X0,sP6_iProver_def)) ),
    inference(superposition,[status(thm)],[c_383,c_1766]) ).

cnf(c_7903,plain,
    ( ~ theorem(implies(X0,sP5_iProver_def))
    | theorem(or(not(X0),sP6_iProver_def)) ),
    inference(superposition,[status(thm)],[c_55,c_5861]) ).

cnf(c_8180,plain,
    ( ~ theorem(implies(X0,sP5_iProver_def))
    | theorem(implies(X0,sP6_iProver_def)) ),
    inference(demodulation,[status(thm)],[c_7903,c_55]) ).

cnf(c_8190,plain,
    theorem(implies(sP0_iProver_def,sP6_iProver_def)),
    inference(superposition,[status(thm)],[c_1016,c_8180]) ).

cnf(c_14593,plain,
    ( ~ theorem(implies(sP0_iProver_def,sP6_iProver_def))
    | theorem(implies(q,sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_2117,c_3056]) ).

cnf(c_14601,plain,
    theorem(implies(q,sP7_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_14593,c_8190]) ).

cnf(c_189675,plain,
    theorem(implies(sP2_iProver_def,or(q,p))),
    inference(superposition,[status(thm)],[c_170,c_117]) ).

cnf(c_189680,plain,
    theorem(implies(or(s,p),sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_172,c_117]) ).

cnf(c_189689,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_111]) ).

cnf(c_189691,plain,
    theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_123]) ).

cnf(c_189692,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_55,c_123]) ).

cnf(c_189698,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_105,c_57]) ).

cnf(c_189699,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_111,c_57]) ).

cnf(c_189700,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_117,c_57]) ).

cnf(c_189701,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_123,c_57]) ).

cnf(c_189752,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_189689,c_57]) ).

cnf(c_189789,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
    inference(superposition,[status(thm)],[c_55,c_129]) ).

cnf(c_189794,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(or(X2,X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_129,c_57]) ).

cnf(c_190081,plain,
    theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
    inference(demodulation,[status(thm)],[c_189691,c_55]) ).

cnf(c_190082,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_55,c_190081]) ).

cnf(c_190092,plain,
    ( ~ theorem(or(X0,implies(X1,X2)))
    | theorem(implies(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_190081,c_57]) ).

cnf(c_190209,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_189692,c_55]) ).

cnf(c_190219,plain,
    theorem(implies(implies(sP1_iProver_def,or(X0,sP6_iProver_def)),or(X0,sP7_iProver_def))),
    inference(superposition,[status(thm)],[c_175,c_190209]) ).

cnf(c_190220,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_190209,c_57]) ).

cnf(c_190560,plain,
    ( ~ theorem(implies(sP1_iProver_def,or(X0,sP6_iProver_def)))
    | theorem(or(X0,sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_190219,c_57]) ).

cnf(c_190645,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_189699,c_189701]) ).

cnf(c_190820,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_189789,c_55]) ).

cnf(c_190827,plain,
    theorem(implies(implies(sP0_iProver_def,X0),implies(sP1_iProver_def,implies(q,X0)))),
    inference(superposition,[status(thm)],[c_169,c_190820]) ).

cnf(c_190834,plain,
    theorem(implies(implies(X0,sP5_iProver_def),implies(implies(sP2_iProver_def,X0),sP6_iProver_def))),
    inference(superposition,[status(thm)],[c_174,c_190820]) ).

cnf(c_190835,plain,
    theorem(implies(implies(X0,sP6_iProver_def),implies(implies(sP1_iProver_def,X0),sP7_iProver_def))),
    inference(superposition,[status(thm)],[c_175,c_190820]) ).

cnf(c_191008,plain,
    ( ~ theorem(implies(sP0_iProver_def,X0))
    | theorem(implies(sP1_iProver_def,implies(q,X0))) ),
    inference(superposition,[status(thm)],[c_190827,c_57]) ).

cnf(c_191122,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(or(X2,X0))
    | theorem(or(X2,X1)) ),
    inference(superposition,[status(thm)],[c_189794,c_57]) ).

cnf(c_191230,plain,
    ( ~ theorem(implies(X0,sP5_iProver_def))
    | theorem(implies(implies(sP2_iProver_def,X0),sP6_iProver_def)) ),
    inference(superposition,[status(thm)],[c_190834,c_57]) ).

cnf(c_191268,plain,
    ( ~ theorem(implies(X0,sP6_iProver_def))
    | theorem(implies(implies(sP1_iProver_def,X0),sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_190835,c_57]) ).

cnf(c_191479,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_190082,c_55]) ).

cnf(c_191484,plain,
    theorem(implies(implies(X0,sP7_iProver_def),implies(sP1_iProver_def,implies(X0,sP6_iProver_def)))),
    inference(superposition,[status(thm)],[c_175,c_191479]) ).

cnf(c_191487,plain,
    theorem(implies(implies(sP3_iProver_def,implies(X0,sP4_iProver_def)),implies(X0,sP5_iProver_def))),
    inference(superposition,[status(thm)],[c_173,c_191479]) ).

cnf(c_191489,plain,
    theorem(implies(implies(sP1_iProver_def,implies(X0,sP6_iProver_def)),implies(X0,sP7_iProver_def))),
    inference(superposition,[status(thm)],[c_175,c_191479]) ).

cnf(c_191580,plain,
    ( ~ theorem(implies(X0,sP7_iProver_def))
    | theorem(implies(sP1_iProver_def,implies(X0,sP6_iProver_def))) ),
    inference(superposition,[status(thm)],[c_191484,c_57]) ).

cnf(c_191616,plain,
    ( ~ theorem(implies(sP3_iProver_def,implies(X0,sP4_iProver_def)))
    | theorem(implies(X0,sP5_iProver_def)) ),
    inference(superposition,[status(thm)],[c_191487,c_57]) ).

cnf(c_191639,plain,
    ( ~ theorem(implies(sP1_iProver_def,implies(X0,sP6_iProver_def)))
    | theorem(implies(X0,sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_191489,c_57]) ).

cnf(c_191984,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_111,c_190220]) ).

cnf(c_191985,plain,
    theorem(or(X0,implies(or(X1,X0),X1))),
    inference(superposition,[status(thm)],[c_117,c_190220]) ).

cnf(c_191987,plain,
    theorem(or(q,implies(sP2_iProver_def,p))),
    inference(superposition,[status(thm)],[c_189675,c_190220]) ).

cnf(c_192198,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_191984,c_189698]) ).

cnf(c_192206,plain,
    theorem(or(X0,implies(or(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_192198,c_190220]) ).

cnf(c_192218,plain,
    theorem(or(implies(sP2_iProver_def,p),q)),
    inference(superposition,[status(thm)],[c_191987,c_189700]) ).

cnf(c_192260,plain,
    ( ~ theorem(or(X0,sP6_iProver_def))
    | theorem(or(X0,sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_189752,c_190560]) ).

cnf(c_192795,plain,
    ( ~ theorem(implies(X0,sP6_iProver_def))
    | ~ theorem(implies(sP1_iProver_def,X0))
    | theorem(sP7_iProver_def) ),
    inference(superposition,[status(thm)],[c_191268,c_57]) ).

cnf(c_192796,plain,
    ( ~ theorem(implies(X0,sP6_iProver_def))
    | ~ theorem(implies(sP1_iProver_def,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_192795,c_176]) ).

cnf(c_193091,plain,
    ( ~ theorem(implies(X0,sP4_iProver_def))
    | theorem(implies(X0,sP5_iProver_def)) ),
    inference(superposition,[status(thm)],[c_189752,c_191616]) ).

cnf(c_193203,plain,
    ( ~ theorem(implies(sP0_iProver_def,sP6_iProver_def))
    | theorem(implies(q,sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_191008,c_191639]) ).

cnf(c_193485,plain,
    theorem(or(implies(or(X0,X1),X0),X1)),
    inference(superposition,[status(thm)],[c_191985,c_189700]) ).

cnf(c_193849,plain,
    theorem(implies(X0,implies(or(not(X0),X1),X1))),
    inference(superposition,[status(thm)],[c_55,c_192206]) ).

cnf(c_193863,plain,
    theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(light_normalisation,[status(thm)],[c_193849,c_55]) ).

cnf(c_193978,plain,
    ( ~ theorem(X0)
    | theorem(implies(implies(X0,X1),X1)) ),
    inference(superposition,[status(thm)],[c_193863,c_57]) ).

cnf(c_194127,plain,
    ( ~ theorem(implies(sP1_iProver_def,implies(X0,sP6_iProver_def)))
    | ~ theorem(X0) ),
    inference(superposition,[status(thm)],[c_193978,c_192796]) ).

cnf(c_194238,plain,
    ( ~ theorem(implies(X0,sP7_iProver_def))
    | ~ theorem(X0) ),
    inference(superposition,[status(thm)],[c_191580,c_194127]) ).

cnf(c_194252,plain,
    ~ theorem(or(sP7_iProver_def,sP7_iProver_def)),
    inference(superposition,[status(thm)],[c_105,c_194238]) ).

cnf(c_194423,plain,
    ( ~ theorem(or(X0,or(s,p)))
    | theorem(or(X0,sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_189680,c_191122]) ).

cnf(c_194545,plain,
    ( ~ theorem(or(X0,implies(sP2_iProver_def,X1)))
    | ~ theorem(implies(X1,sP5_iProver_def))
    | theorem(or(X0,sP6_iProver_def)) ),
    inference(superposition,[status(thm)],[c_191230,c_191122]) ).

cnf(c_199668,plain,
    theorem(or(implies(or(X0,sP6_iProver_def),X0),sP7_iProver_def)),
    inference(superposition,[status(thm)],[c_193485,c_192260]) ).

cnf(c_199975,plain,
    theorem(or(sP7_iProver_def,implies(or(X0,sP6_iProver_def),X0))),
    inference(superposition,[status(thm)],[c_199668,c_189700]) ).

cnf(c_200114,plain,
    theorem(implies(or(X0,sP6_iProver_def),or(sP7_iProver_def,X0))),
    inference(superposition,[status(thm)],[c_199975,c_190092]) ).

cnf(c_200273,plain,
    ( ~ theorem(or(X0,sP6_iProver_def))
    | theorem(or(sP7_iProver_def,X0)) ),
    inference(superposition,[status(thm)],[c_200114,c_57]) ).

cnf(c_201636,plain,
    theorem(implies(q,sP7_iProver_def)),
    inference(global_subsumption_just,[status(thm)],[c_193203,c_14601]) ).

cnf(c_201638,plain,
    ( ~ theorem(or(X0,q))
    | theorem(or(X0,sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_201636,c_191122]) ).

cnf(c_204447,plain,
    theorem(or(implies(sP2_iProver_def,p),sP7_iProver_def)),
    inference(superposition,[status(thm)],[c_192218,c_201638]) ).

cnf(c_204460,plain,
    theorem(or(sP7_iProver_def,implies(sP2_iProver_def,p))),
    inference(superposition,[status(thm)],[c_204447,c_189700]) ).

cnf(c_229206,plain,
    ( ~ theorem(or(X0,p))
    | theorem(or(X0,sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_190645,c_194423]) ).

cnf(c_234099,plain,
    ( ~ theorem(implies(X0,p))
    | theorem(or(not(X0),sP4_iProver_def)) ),
    inference(superposition,[status(thm)],[c_55,c_229206]) ).

cnf(c_234415,plain,
    ( ~ theorem(implies(X0,p))
    | theorem(implies(X0,sP4_iProver_def)) ),
    inference(demodulation,[status(thm)],[c_234099,c_55]) ).

cnf(c_234423,plain,
    theorem(implies(p,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_192198,c_234415]) ).

cnf(c_234483,plain,
    theorem(implies(p,sP5_iProver_def)),
    inference(superposition,[status(thm)],[c_234423,c_193091]) ).

cnf(c_387608,plain,
    ( ~ theorem(implies(p,sP5_iProver_def))
    | theorem(or(sP7_iProver_def,sP6_iProver_def)) ),
    inference(superposition,[status(thm)],[c_204460,c_194545]) ).

cnf(c_387781,plain,
    theorem(or(sP7_iProver_def,sP6_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_387608,c_234483]) ).

cnf(c_389627,plain,
    theorem(or(sP7_iProver_def,sP7_iProver_def)),
    inference(superposition,[status(thm)],[c_387781,c_200273]) ).

cnf(c_389629,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_389627,c_194252]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL227-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 19:30:48 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 170.11/23.27  % SZS status Started for theBenchmark.p
% 170.11/23.27  % SZS status Unsatisfiable for theBenchmark.p
% 170.11/23.27  
% 170.11/23.27  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 170.11/23.27  
% 170.11/23.27  ------  iProver source info
% 170.11/23.27  
% 170.11/23.27  git: date: 2024-05-02 19:28:25 +0000
% 170.11/23.27  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 170.11/23.27  git: non_committed_changes: false
% 170.11/23.27  
% 170.11/23.27  ------ Parsing...successful
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 170.11/23.27  
% 170.11/23.27  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 170.11/23.27  
% 170.11/23.27  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 170.11/23.27  ------ Proving...
% 170.11/23.27  ------ Problem Properties 
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  clauses                                 16
% 170.11/23.27  conjectures                             1
% 170.11/23.27  EPR                                     1
% 170.11/23.27  Horn                                    16
% 170.11/23.27  unary                                   15
% 170.11/23.27  binary                                  0
% 170.11/23.27  lits                                    18
% 170.11/23.27  lits eq                                 9
% 170.11/23.27  fd_pure                                 0
% 170.11/23.27  fd_pseudo                               0
% 170.11/23.27  fd_cond                                 0
% 170.11/23.27  fd_pseudo_cond                          0
% 170.11/23.27  AC symbols                              0
% 170.11/23.27  
% 170.11/23.27  ------ Schedule dynamic 5 is on 
% 170.11/23.27  
% 170.11/23.27  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  ------ 
% 170.11/23.27  Current options:
% 170.11/23.27  ------ 
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  ------ Proving...
% 170.11/23.27  Proof_search_loop: time out after: 10612 full_loop iterations
% 170.11/23.27  
% 170.11/23.27  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  ------ 
% 170.11/23.27  Current options:
% 170.11/23.27  ------ 
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  ------ Proving...
% 170.11/23.27  
% 170.11/23.27  
% 170.11/23.27  % SZS status Unsatisfiable for theBenchmark.p
% 170.11/23.27  
% 170.11/23.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 170.11/23.28  
% 170.11/23.28  
%------------------------------------------------------------------------------