TSTP Solution File: LCL249-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL249-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 02:37:27 EDT 2024

% Result   : Unsatisfiable 147.85s 20.22s
% Output   : CNFRefutation 147.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of clauses     :  118 (  48 unt;   0 nHn;  61 RR)
%            Number of literals    :  205 (  14 equ;  88 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  218 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(implies(implies(p,r),implies(and(p,q),r))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    not(or(not(X0),not(X1))) = and(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).

cnf(c_51,plain,
    axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c_52,plain,
    axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c_53,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c_54,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c_55,plain,
    axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(c_56,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_57,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_58,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_67,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

cnf(c_97,plain,
    not(implies(X0,not(X1))) = and(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_56]) ).

cnf(c_108,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_67]) ).

cnf(c_109,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_108]) ).

cnf(c_110,plain,
    theorem(implies(or(p,p),p)),
    inference(instantiation,[status(thm)],[c_109]) ).

cnf(c_114,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_67]) ).

cnf(c_115,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_114]) ).

cnf(c_116,plain,
    theorem(implies(p,or(p,p))),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_120,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_67]) ).

cnf(c_121,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_120]) ).

cnf(c_126,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_67]) ).

cnf(c_127,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_126]) ).

cnf(c_132,plain,
    ( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_67]) ).

cnf(c_133,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_132]) ).

cnf(c_178,plain,
    ( X0 != X1
    | ~ theorem(X1)
    | theorem(X0) ),
    theory(equality) ).

cnf(c_313,plain,
    ( ~ theorem(implies(implies(or(X0,X0),X0),X1))
    | ~ theorem(implies(or(X0,X0),X0))
    | theorem(X1) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_321,plain,
    ( X0 != implies(X1,or(X2,X1))
    | ~ theorem(implies(X1,or(X2,X1)))
    | theorem(X0) ),
    inference(instantiation,[status(thm)],[c_178]) ).

cnf(c_337,plain,
    ( ~ theorem(implies(implies(or(X0,X0),X0),implies(or(X1,or(X0,X0)),or(X1,X0))))
    | ~ theorem(implies(or(X0,X0),X0))
    | theorem(implies(or(X1,or(X0,X0)),or(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_313]) ).

cnf(c_338,plain,
    theorem(implies(implies(or(X0,X0),X0),implies(or(X1,or(X0,X0)),or(X1,X0)))),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_360,plain,
    ( or(not(X0),or(X1,X0)) != implies(X0,or(X1,X0))
    | ~ theorem(implies(X0,or(X1,X0)))
    | theorem(or(not(X0),or(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_321]) ).

cnf(c_361,plain,
    or(not(X0),or(X1,X0)) = implies(X0,or(X1,X0)),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_362,plain,
    ( or(not(p),or(p,p)) != implies(p,or(p,p))
    | ~ theorem(implies(p,or(p,p)))
    | theorem(or(not(p),or(p,p))) ),
    inference(instantiation,[status(thm)],[c_360]) ).

cnf(c_363,plain,
    or(not(p),or(p,p)) = implies(p,or(p,p)),
    inference(instantiation,[status(thm)],[c_361]) ).

cnf(c_482,plain,
    ( ~ theorem(implies(or(not(X0),or(X1,X0)),X2))
    | ~ theorem(or(not(X0),or(X1,X0)))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_710,plain,
    ( ~ theorem(implies(or(not(X0),or(X0,X0)),or(not(X0),X0)))
    | ~ theorem(or(not(X0),or(X0,X0)))
    | theorem(or(not(X0),X0)) ),
    inference(instantiation,[status(thm)],[c_482]) ).

cnf(c_711,plain,
    ( ~ theorem(implies(implies(or(X0,X0),X0),implies(or(not(X0),or(X0,X0)),or(not(X0),X0))))
    | ~ theorem(implies(or(X0,X0),X0))
    | theorem(implies(or(not(X0),or(X0,X0)),or(not(X0),X0))) ),
    inference(instantiation,[status(thm)],[c_337]) ).

cnf(c_712,plain,
    ( ~ theorem(implies(or(not(p),or(p,p)),or(not(p),p)))
    | ~ theorem(or(not(p),or(p,p)))
    | theorem(or(not(p),p)) ),
    inference(instantiation,[status(thm)],[c_710]) ).

cnf(c_713,plain,
    ( ~ theorem(implies(implies(or(p,p),p),implies(or(not(p),or(p,p)),or(not(p),p))))
    | ~ theorem(implies(or(p,p),p))
    | theorem(implies(or(not(p),or(p,p)),or(not(p),p))) ),
    inference(instantiation,[status(thm)],[c_711]) ).

cnf(c_800,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_56,c_121]) ).

cnf(c_801,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_56,c_115]) ).

cnf(c_802,plain,
    theorem(implies(implies(X0,X1),or(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_56,c_121]) ).

cnf(c_836,plain,
    theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_56,c_800]) ).

cnf(c_846,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_109,c_58]) ).

cnf(c_847,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_115,c_58]) ).

cnf(c_848,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_121,c_58]) ).

cnf(c_850,plain,
    ( ~ theorem(or(X0,not(X1)))
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_800,c_58]) ).

cnf(c_851,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_801,c_58]) ).

cnf(c_856,plain,
    ( ~ theorem(or(p,not(p)))
    | theorem(implies(p,p)) ),
    inference(instantiation,[status(thm)],[c_850]) ).

cnf(c_1351,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(or(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_802,c_58]) ).

cnf(c_1369,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_836,c_58]) ).

cnf(c_2378,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(or(not(X0),X1)) ),
    inference(superposition,[status(thm)],[c_1351,c_848]) ).

cnf(c_2832,plain,
    theorem(implies(implies(or(X0,X0),X0),implies(or(not(X0),or(X0,X0)),or(not(X0),X0)))),
    inference(instantiation,[status(thm)],[c_338]) ).

cnf(c_2833,plain,
    theorem(implies(implies(or(p,p),p),implies(or(not(p),or(p,p)),or(not(p),p)))),
    inference(instantiation,[status(thm)],[c_2832]) ).

cnf(c_3482,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_56,c_127]) ).

cnf(c_3486,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_127,c_58]) ).

cnf(c_3493,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(or(X2,X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_133,c_58]) ).

cnf(c_3569,plain,
    ( ~ theorem(implies(or(not(X0),X0),X1))
    | ~ theorem(or(not(X0),X0))
    | theorem(X1) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_3636,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_3482,c_56]) ).

cnf(c_4364,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_847,c_3486]) ).

cnf(c_4379,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(or(X2,X0))
    | theorem(or(X2,X1)) ),
    inference(superposition,[status(thm)],[c_3493,c_58]) ).

cnf(c_4593,plain,
    ( ~ theorem(implies(or(not(X0),X0),or(X0,not(X0))))
    | ~ theorem(or(not(X0),X0))
    | theorem(or(X0,not(X0))) ),
    inference(instantiation,[status(thm)],[c_3569]) ).

cnf(c_4594,plain,
    theorem(implies(or(not(X0),X0),or(X0,not(X0)))),
    inference(instantiation,[status(thm)],[c_121]) ).

cnf(c_4595,plain,
    ( ~ theorem(implies(or(not(p),p),or(p,not(p))))
    | ~ theorem(or(not(p),p))
    | theorem(or(p,not(p))) ),
    inference(instantiation,[status(thm)],[c_4593]) ).

cnf(c_4596,plain,
    theorem(implies(or(not(p),p),or(p,not(p)))),
    inference(instantiation,[status(thm)],[c_4594]) ).

cnf(c_5384,plain,
    theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_56,c_127]) ).

cnf(c_6018,plain,
    theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_56,c_3636]) ).

cnf(c_6021,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_3636,c_58]) ).

cnf(c_6032,plain,
    ( ~ theorem(or(not(X0),or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_5384,c_58]) ).

cnf(c_6112,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_56,c_4364]) ).

cnf(c_6113,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_56,c_4364]) ).

cnf(c_6207,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(implies(X2,X1),X0)) ),
    inference(superposition,[status(thm)],[c_6113,c_848]) ).

cnf(c_6208,plain,
    ( ~ theorem(or(implies(X0,X1),X1))
    | theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_6113,c_846]) ).

cnf(c_6231,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_6018,c_56]) ).

cnf(c_7289,plain,
    ( ~ theorem(implies(implies(X0,not(X1)),X2))
    | theorem(or(X2,and(X0,X1))) ),
    inference(superposition,[status(thm)],[c_97,c_1351]) ).

cnf(c_7448,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X0,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_6207,c_850]) ).

cnf(c_8946,plain,
    ( ~ theorem(implies(X0,implies(X1,X2)))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_6231,c_58]) ).

cnf(c_9193,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_115,c_6021]) ).

cnf(c_9359,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_9193,c_846]) ).

cnf(c_9362,plain,
    theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_9193,c_6208]) ).

cnf(c_9375,plain,
    theorem(implies(X0,not(not(X0)))),
    inference(superposition,[status(thm)],[c_9359,c_1369]) ).

cnf(c_9429,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_9362,c_58]) ).

cnf(c_9549,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X2,X2)) ),
    inference(superposition,[status(thm)],[c_7448,c_9429]) ).

cnf(c_9719,plain,
    ( ~ theorem(or(X0,or(X1,X1)))
    | theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_109,c_4379]) ).

cnf(c_9721,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_121,c_4379]) ).

cnf(c_9729,plain,
    ( ~ theorem(or(X0,X1))
    | ~ theorem(X2)
    | theorem(or(X0,X2)) ),
    inference(superposition,[status(thm)],[c_851,c_4379]) ).

cnf(c_9763,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,implies(X2,X2))) ),
    inference(superposition,[status(thm)],[c_9362,c_4379]) ).

cnf(c_9765,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,not(not(X1)))) ),
    inference(superposition,[status(thm)],[c_9375,c_4379]) ).

cnf(c_10831,plain,
    theorem(or(or(not(X0),not(X1)),and(X1,X0))),
    inference(superposition,[status(thm)],[c_802,c_7289]) ).

cnf(c_10860,plain,
    theorem(or(not(not(implies(X0,not(X1)))),and(X0,X1))),
    inference(superposition,[status(thm)],[c_9375,c_7289]) ).

cnf(c_11591,plain,
    theorem(or(implies(X0,not(X1)),and(X1,X0))),
    inference(demodulation,[status(thm)],[c_10831,c_56]) ).

cnf(c_11596,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(X2,X2)) ),
    inference(light_normalisation,[status(thm)],[c_9549,c_56]) ).

cnf(c_11600,plain,
    theorem(or(not(and(X0,X1)),and(X0,X1))),
    inference(light_normalisation,[status(thm)],[c_10860,c_97]) ).

cnf(c_11601,plain,
    theorem(implies(and(X0,X1),and(X0,X1))),
    inference(demodulation,[status(thm)],[c_11600,c_56]) ).

cnf(c_13104,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_11601,c_11596]) ).

cnf(c_13399,plain,
    ( ~ theorem(implies(X0,or(X1,X1)))
    | theorem(or(not(X0),X1)) ),
    inference(superposition,[status(thm)],[c_56,c_9719]) ).

cnf(c_13595,plain,
    theorem(or(implies(X0,not(X1)),implies(X2,X2))),
    inference(superposition,[status(thm)],[c_11591,c_9763]) ).

cnf(c_13609,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(implies(not(X1),X0)) ),
    inference(superposition,[status(thm)],[c_9765,c_850]) ).

cnf(c_14184,plain,
    theorem(or(implies(X0,X0),implies(X1,not(X2)))),
    inference(superposition,[status(thm)],[c_13595,c_848]) ).

cnf(c_15749,plain,
    ( ~ theorem(X0)
    | theorem(or(implies(X1,X1),X0)) ),
    inference(superposition,[status(thm)],[c_14184,c_9729]) ).

cnf(c_17114,plain,
    ( ~ theorem(or(X0,implies(X1,not(X2))))
    | theorem(implies(and(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_97,c_13609]) ).

cnf(c_18916,plain,
    theorem(or(not(or(X0,X0)),X0)),
    inference(superposition,[status(thm)],[c_13104,c_13399]) ).

cnf(c_19478,plain,
    theorem(or(not(or(X0,X0)),implies(X1,X1))),
    inference(superposition,[status(thm)],[c_18916,c_9763]) ).

cnf(c_20346,plain,
    theorem(implies(or(X0,X0),implies(X1,X1))),
    inference(superposition,[status(thm)],[c_56,c_19478]) ).

cnf(c_20379,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_20346,c_58]) ).

cnf(c_20539,plain,
    ( ~ theorem(implies(X0,X0))
    | theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_15749,c_20379]) ).

cnf(c_20935,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(not(X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_56,c_9721]) ).

cnf(c_319488,plain,
    ( ~ theorem(implies(and(p,q),implies(implies(p,r),r)))
    | theorem(implies(implies(p,r),implies(and(p,q),r))) ),
    inference(instantiation,[status(thm)],[c_8946]) ).

cnf(c_372020,plain,
    ( ~ theorem(implies(X0,implies(implies(p,r),r)))
    | theorem(or(not(X0),implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_2378]) ).

cnf(c_372021,plain,
    ( ~ theorem(implies(p,implies(implies(p,r),r)))
    | theorem(or(not(p),implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_372020]) ).

cnf(c_372062,plain,
    ( ~ theorem(implies(implies(p,r),implies(X0,r)))
    | theorem(implies(X0,implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_8946]) ).

cnf(c_372063,plain,
    ( ~ theorem(implies(implies(p,r),implies(p,r)))
    | theorem(implies(p,implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_372062]) ).

cnf(c_381380,plain,
    ( ~ theorem(implies(X0,X0))
    | theorem(implies(implies(X1,r),implies(X1,r))) ),
    inference(instantiation,[status(thm)],[c_20539]) ).

cnf(c_381382,plain,
    ( ~ theorem(implies(p,p))
    | theorem(implies(implies(p,r),implies(p,r))) ),
    inference(instantiation,[status(thm)],[c_381380]) ).

cnf(c_449497,plain,
    ( ~ theorem(or(implies(implies(p,r),r),implies(p,not(q))))
    | theorem(implies(and(p,q),implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_17114]) ).

cnf(c_485497,plain,
    ( ~ theorem(or(not(p),or(implies(implies(p,r),r),not(q))))
    | theorem(or(implies(implies(p,r),r),implies(p,not(q)))) ),
    inference(instantiation,[status(thm)],[c_6032]) ).

cnf(c_518318,plain,
    ( ~ theorem(implies(p,or(not(q),implies(implies(p,r),r))))
    | theorem(or(not(p),or(implies(implies(p,r),r),not(q)))) ),
    inference(instantiation,[status(thm)],[c_20935]) ).

cnf(c_584824,plain,
    ( ~ theorem(or(not(p),implies(implies(p,r),r)))
    | theorem(implies(p,or(not(q),implies(implies(p,r),r)))) ),
    inference(instantiation,[status(thm)],[c_6112]) ).

cnf(c_584825,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_584824,c_518318,c_485497,c_449497,c_381382,c_372063,c_372021,c_319488,c_4596,c_4595,c_2833,c_856,c_713,c_712,c_363,c_362,c_116,c_110,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL249-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 19:34:05 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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
% 147.85/20.22  % SZS status Started for theBenchmark.p
% 147.85/20.22  % SZS status Unsatisfiable for theBenchmark.p
% 147.85/20.22  
% 147.85/20.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 147.85/20.22  
% 147.85/20.22  ------  iProver source info
% 147.85/20.22  
% 147.85/20.22  git: date: 2024-05-02 19:28:25 +0000
% 147.85/20.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 147.85/20.22  git: non_committed_changes: false
% 147.85/20.22  
% 147.85/20.22  ------ Parsing...successful
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  ------ Preprocessing... sup_sim: 1  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 
% 147.85/20.22  
% 147.85/20.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 147.85/20.22  
% 147.85/20.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 147.85/20.22  ------ Proving...
% 147.85/20.22  ------ Problem Properties 
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  clauses                                 9
% 147.85/20.22  conjectures                             1
% 147.85/20.22  EPR                                     0
% 147.85/20.22  Horn                                    9
% 147.85/20.22  unary                                   8
% 147.85/20.22  binary                                  0
% 147.85/20.22  lits                                    11
% 147.85/20.22  lits eq                                 2
% 147.85/20.22  fd_pure                                 0
% 147.85/20.22  fd_pseudo                               0
% 147.85/20.22  fd_cond                                 0
% 147.85/20.22  fd_pseudo_cond                          0
% 147.85/20.22  AC symbols                              0
% 147.85/20.22  
% 147.85/20.22  ------ Input Options Time Limit: Unbounded
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  ------ 
% 147.85/20.22  Current options:
% 147.85/20.22  ------ 
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  ------ Proving...
% 147.85/20.22  
% 147.85/20.22  
% 147.85/20.22  % SZS status Unsatisfiable for theBenchmark.p
% 147.85/20.22  
% 147.85/20.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 147.85/20.22  
% 147.85/20.23  
%------------------------------------------------------------------------------