TSTP Solution File: LCL249-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL249-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:43:32 EDT 2023

% Result   : Unsatisfiable 141.98s 19.89s
% Output   : CNFRefutation 141.98s
% 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/sandbox/benchmark/theBenchmark.p',prove_this) ).

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

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

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

cnf(c_53,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

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

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

cnf(c_58,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox/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_692,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_693,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_694,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_692]) ).

cnf(c_695,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_693]) ).

cnf(c_804,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_56,c_121]) ).

cnf(c_805,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_56,c_115]) ).

cnf(c_806,plain,
    theorem(implies(implies(X0,X1),or(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_56,c_121]) ).

cnf(c_826,plain,
    theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_56,c_804]) ).

cnf(c_828,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_109,c_58]) ).

cnf(c_829,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_115,c_58]) ).

cnf(c_830,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_121,c_58]) ).

cnf(c_832,plain,
    ( ~ theorem(or(X0,not(X1)))
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_804,c_58]) ).

cnf(c_833,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_805,c_58]) ).

cnf(c_838,plain,
    ( ~ theorem(or(p,not(p)))
    | theorem(implies(p,p)) ),
    inference(instantiation,[status(thm)],[c_832]) ).

cnf(c_1385,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(or(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_806,c_58]) ).

cnf(c_1403,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_826,c_58]) ).

cnf(c_2242,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(or(not(X0),X1)) ),
    inference(superposition,[status(thm)],[c_1385,c_830]) ).

cnf(c_2872,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_2873,plain,
    theorem(implies(implies(or(p,p),p),implies(or(not(p),or(p,p)),or(not(p),p)))),
    inference(instantiation,[status(thm)],[c_2872]) ).

cnf(c_3169,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_56,c_127]) ).

cnf(c_3173,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_127,c_58]) ).

cnf(c_3198,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(or(X2,X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_133,c_58]) ).

cnf(c_3321,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_3169,c_56]) ).

cnf(c_3648,plain,
    ( ~ theorem(implies(or(not(X0),X0),X1))
    | ~ theorem(or(not(X0),X0))
    | theorem(X1) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_3892,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_829,c_3173]) ).

cnf(c_3906,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(or(X2,X0))
    | theorem(or(X2,X1)) ),
    inference(superposition,[status(thm)],[c_3198,c_58]) ).

cnf(c_4644,plain,
    theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_56,c_127]) ).

cnf(c_4794,plain,
    theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_56,c_3321]) ).

cnf(c_4797,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_3321,c_58]) ).

cnf(c_4808,plain,
    ( ~ theorem(or(not(X0),or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_4644,c_58]) ).

cnf(c_4894,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_56,c_3892]) ).

cnf(c_4895,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_56,c_3892]) ).

cnf(c_4931,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(implies(X2,X1),X0)) ),
    inference(superposition,[status(thm)],[c_4895,c_830]) ).

cnf(c_4932,plain,
    ( ~ theorem(or(implies(X0,X1),X1))
    | theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_4895,c_828]) ).

cnf(c_4955,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_4794,c_56]) ).

cnf(c_5408,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_3648]) ).

cnf(c_5409,plain,
    theorem(implies(or(not(X0),X0),or(X0,not(X0)))),
    inference(instantiation,[status(thm)],[c_121]) ).

cnf(c_5410,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_5408]) ).

cnf(c_5411,plain,
    theorem(implies(or(not(p),p),or(p,not(p)))),
    inference(instantiation,[status(thm)],[c_5409]) ).

cnf(c_6056,plain,
    ( ~ theorem(implies(implies(X0,not(X1)),X2))
    | theorem(or(X2,and(X0,X1))) ),
    inference(superposition,[status(thm)],[c_97,c_1385]) ).

cnf(c_6244,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X0,implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_4931,c_832]) ).

cnf(c_7957,plain,
    ( ~ theorem(implies(X0,implies(X1,X2)))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_4955,c_58]) ).

cnf(c_8249,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_115,c_4797]) ).

cnf(c_8464,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_8249,c_828]) ).

cnf(c_8467,plain,
    theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_8249,c_4932]) ).

cnf(c_8531,plain,
    theorem(implies(X0,not(not(X0)))),
    inference(superposition,[status(thm)],[c_8464,c_1403]) ).

cnf(c_8571,plain,
    ( ~ theorem(X0)
    | theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_8467,c_58]) ).

cnf(c_8690,plain,
    ( ~ theorem(or(not(X0),X1))
    | theorem(implies(X2,X2)) ),
    inference(superposition,[status(thm)],[c_6244,c_8571]) ).

cnf(c_8775,plain,
    ( ~ theorem(or(X0,or(X1,X1)))
    | theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_109,c_3906]) ).

cnf(c_8777,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_121,c_3906]) ).

cnf(c_8785,plain,
    ( ~ theorem(or(X0,X1))
    | ~ theorem(X2)
    | theorem(or(X0,X2)) ),
    inference(superposition,[status(thm)],[c_833,c_3906]) ).

cnf(c_8819,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,implies(X2,X2))) ),
    inference(superposition,[status(thm)],[c_8467,c_3906]) ).

cnf(c_8821,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,not(not(X1)))) ),
    inference(superposition,[status(thm)],[c_8531,c_3906]) ).

cnf(c_9869,plain,
    theorem(or(or(not(X0),not(X1)),and(X1,X0))),
    inference(superposition,[status(thm)],[c_806,c_6056]) ).

cnf(c_9898,plain,
    theorem(or(not(not(implies(X0,not(X1)))),and(X0,X1))),
    inference(superposition,[status(thm)],[c_8531,c_6056]) ).

cnf(c_10575,plain,
    theorem(or(implies(X0,not(X1)),and(X1,X0))),
    inference(demodulation,[status(thm)],[c_9869,c_56]) ).

cnf(c_10580,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(X2,X2)) ),
    inference(light_normalisation,[status(thm)],[c_8690,c_56]) ).

cnf(c_10584,plain,
    theorem(or(not(and(X0,X1)),and(X0,X1))),
    inference(light_normalisation,[status(thm)],[c_9898,c_97]) ).

cnf(c_10585,plain,
    theorem(implies(and(X0,X1),and(X0,X1))),
    inference(demodulation,[status(thm)],[c_10584,c_56]) ).

cnf(c_12187,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_10585,c_10580]) ).

cnf(c_12404,plain,
    ( ~ theorem(implies(X0,or(X1,X1)))
    | theorem(or(not(X0),X1)) ),
    inference(superposition,[status(thm)],[c_56,c_8775]) ).

cnf(c_12639,plain,
    theorem(or(implies(X0,not(X1)),implies(X2,X2))),
    inference(superposition,[status(thm)],[c_10575,c_8819]) ).

cnf(c_12668,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(implies(not(X1),X0)) ),
    inference(superposition,[status(thm)],[c_8821,c_832]) ).

cnf(c_13293,plain,
    theorem(or(implies(X0,X0),implies(X1,not(X2)))),
    inference(superposition,[status(thm)],[c_12639,c_830]) ).

cnf(c_14545,plain,
    ( ~ theorem(X0)
    | theorem(or(implies(X1,X1),X0)) ),
    inference(superposition,[status(thm)],[c_13293,c_8785]) ).

cnf(c_15899,plain,
    ( ~ theorem(or(X0,implies(X1,not(X2))))
    | theorem(implies(and(X1,X2),X0)) ),
    inference(superposition,[status(thm)],[c_97,c_12668]) ).

cnf(c_17653,plain,
    theorem(or(not(or(X0,X0)),X0)),
    inference(superposition,[status(thm)],[c_12187,c_12404]) ).

cnf(c_18189,plain,
    theorem(or(not(or(X0,X0)),implies(X1,X1))),
    inference(superposition,[status(thm)],[c_17653,c_8819]) ).

cnf(c_18908,plain,
    theorem(implies(or(X0,X0),implies(X1,X1))),
    inference(superposition,[status(thm)],[c_56,c_18189]) ).

cnf(c_18941,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_18908,c_58]) ).

cnf(c_19107,plain,
    ( ~ theorem(implies(X0,X0))
    | theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_14545,c_18941]) ).

cnf(c_19453,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(not(X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_56,c_8777]) ).

cnf(c_321197,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_7957]) ).

cnf(c_374435,plain,
    ( ~ theorem(implies(X0,implies(implies(p,r),r)))
    | theorem(or(not(X0),implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_2242]) ).

cnf(c_374436,plain,
    ( ~ theorem(implies(p,implies(implies(p,r),r)))
    | theorem(or(not(p),implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_374435]) ).

cnf(c_375510,plain,
    ( ~ theorem(implies(implies(p,r),implies(X0,r)))
    | theorem(implies(X0,implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_7957]) ).

cnf(c_375511,plain,
    ( ~ theorem(implies(implies(p,r),implies(p,r)))
    | theorem(implies(p,implies(implies(p,r),r))) ),
    inference(instantiation,[status(thm)],[c_375510]) ).

cnf(c_382660,plain,
    ( ~ theorem(implies(X0,X0))
    | theorem(implies(implies(X1,r),implies(X1,r))) ),
    inference(instantiation,[status(thm)],[c_19107]) ).

cnf(c_382662,plain,
    ( ~ theorem(implies(p,p))
    | theorem(implies(implies(p,r),implies(p,r))) ),
    inference(instantiation,[status(thm)],[c_382660]) ).

cnf(c_449512,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_15899]) ).

cnf(c_484705,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_4808]) ).

cnf(c_518161,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_19453]) ).

cnf(c_585351,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_4894]) ).

cnf(c_585352,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_585351,c_518161,c_484705,c_449512,c_382662,c_375511,c_374436,c_321197,c_5411,c_5410,c_2873,c_838,c_695,c_694,c_363,c_362,c_116,c_110,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL249-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n026.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 : Fri Aug 25 02:02:32 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 141.98/19.89  % SZS status Started for theBenchmark.p
% 141.98/19.89  % SZS status Unsatisfiable for theBenchmark.p
% 141.98/19.89  
% 141.98/19.89  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 141.98/19.89  
% 141.98/19.89  ------  iProver source info
% 141.98/19.89  
% 141.98/19.89  git: date: 2023-05-31 18:12:56 +0000
% 141.98/19.89  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 141.98/19.89  git: non_committed_changes: false
% 141.98/19.89  git: last_make_outside_of_git: false
% 141.98/19.89  
% 141.98/19.89  ------ Parsing...successful
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  ------ 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 
% 141.98/19.89  
% 141.98/19.89  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 141.98/19.89  
% 141.98/19.89  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 141.98/19.89  ------ Proving...
% 141.98/19.89  ------ Problem Properties 
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  clauses                                 9
% 141.98/19.89  conjectures                             1
% 141.98/19.89  EPR                                     0
% 141.98/19.89  Horn                                    9
% 141.98/19.89  unary                                   8
% 141.98/19.89  binary                                  0
% 141.98/19.89  lits                                    11
% 141.98/19.89  lits eq                                 2
% 141.98/19.89  fd_pure                                 0
% 141.98/19.89  fd_pseudo                               0
% 141.98/19.89  fd_cond                                 0
% 141.98/19.89  fd_pseudo_cond                          0
% 141.98/19.89  AC symbols                              0
% 141.98/19.89  
% 141.98/19.89  ------ Input Options Time Limit: Unbounded
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  ------ 
% 141.98/19.89  Current options:
% 141.98/19.89  ------ 
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  ------ Proving...
% 141.98/19.89  
% 141.98/19.89  
% 141.98/19.89  % SZS status Unsatisfiable for theBenchmark.p
% 141.98/19.89  
% 141.98/19.89  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 141.98/19.89  
% 141.98/19.90  
%------------------------------------------------------------------------------