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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL365+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:06:26 PM UTC 2026

% Result   : Theorem 104.79s 15.01s
% Output   : CNFRefutation 104.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   68 (  37 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   84 (  44   ~;  38   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  262 (   0 sgn 262   !;   0   ?; 224   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ( is_a_theorem(X0)
        & is_a_theorem(implies(X0,X1)) )
     => is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f2) ).

fof(f3,conjecture,
    is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3) ).

fof(f4,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
    inference(cnf_transformation,[],[f2]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_49,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( is_a_theorem(X14)
      | ~ is_a_theorem(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14))) ),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

tcf(c_125,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_50,c_114]) ).

tcf(c_144,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_125,c_51]) ).

tcf(c_145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5)),
    inference(superposition,[status(thm)],[c_125,c_114]) ).

tcf(c_269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( is_a_theorem(X5)
      | ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5))) ),
    inference(superposition,[status(thm)],[c_145,c_51]) ).

tcf(c_270,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_145,c_114]) ).

tcf(c_319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(X3)
      | ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X1))),X3)) ),
    inference(superposition,[status(thm)],[c_144,c_269]) ).

tcf(c_359,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))),
    inference(superposition,[status(thm)],[c_270,c_114]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7)),
    inference(superposition,[status(thm)],[c_359,c_319]) ).

tcf(c_671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( is_a_theorem(X7)
      | ~ is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7))) ),
    inference(superposition,[status(thm)],[c_421,c_51]) ).

tcf(c_901,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4)),
    inference(superposition,[status(thm)],[c_125,c_671]) ).

tcf(c_1139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( is_a_theorem(X4)
      | ~ is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4))) ),
    inference(superposition,[status(thm)],[c_901,c_51]) ).

tcf(c_1142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))),
    inference(superposition,[status(thm)],[c_901,c_269]) ).

tcf(c_1206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X3,X2))
      | ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
    inference(superposition,[status(thm)],[c_1142,c_51]) ).

tcf(c_1211,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_1142,c_671]) ).

tcf(c_17984,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1211,c_51]) ).

tcf(c_17997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6))),
    inference(superposition,[status(thm)],[c_50,c_1206]) ).

tcf(c_17998,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_1211,c_1206]) ).

tcf(c_18004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_17984,c_51]) ).

tcf(c_18015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
      | ~ is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_17998,c_51]) ).

tcf(c_18046,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(superposition,[status(thm)],[c_17997,c_18015]) ).

tcf(c_18049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_18046,c_51]) ).

tcf(c_18061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7),X8),X8)),
    inference(superposition,[status(thm)],[c_50,c_18049]) ).

tcf(c_18063,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_1211,c_18049]) ).

tcf(c_18068,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_18046,c_18049]) ).

tcf(c_18142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(implies(X3,X0),X1),X2))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_18046,c_18004]) ).

tcf(c_18189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(X2)
      | ~ is_a_theorem(implies(implies(X3,X0),X1))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_18142,c_51]) ).

tcf(c_18326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X3,implies(X1,X2)))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_18068,c_18189]) ).

tcf(c_18480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))),
    inference(superposition,[status(thm)],[c_18063,c_1206]) ).

tcf(c_18733,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_18061,c_18326]) ).

tcf(c_18877,plain,
    ! [X0: $i] : is_a_theorem(implies(implies(n(X0),X0),X0)),
    inference(superposition,[status(thm)],[c_18733,c_1139]) ).

tcf(c_18891,plain,
    ! [X0: $i] :
      ( is_a_theorem(X0)
      | ~ is_a_theorem(implies(n(X0),X0)) ),
    inference(superposition,[status(thm)],[c_18877,c_51]) ).

tcf(c_19191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))),
    inference(superposition,[status(thm)],[c_18480,c_18891]) ).

tcf(c_53180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_1211,c_51]) ).

tcf(c_53245,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
    inference(superposition,[status(thm)],[c_1211,c_1206]) ).

tcf(c_53293,plain,
    ~ is_a_theorem(implies(implies(n(z),y),implies(x,implies(implies(y,z),z)))),
    inference(superposition,[status(thm)],[c_53180,c_49]) ).

tcf(c_53294,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_53180,c_51]) ).

tcf(c_53295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X2,implies(X0,implies(X3,X1))))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_53180,c_1206]) ).

tcf(c_53364,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
    inference(superposition,[status(thm)],[c_19191,c_1206]) ).

tcf(c_53369,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
      | ~ is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_53245,c_51]) ).

tcf(c_53426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(X0,implies(X3,X1)))
      | ~ is_a_theorem(X2)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_53295,c_51]) ).

tcf(c_53475,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(superposition,[status(thm)],[c_53364,c_53369]) ).

tcf(c_53480,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_53475,c_51]) ).

tcf(c_53562,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_53475,c_53480]) ).

tcf(c_53637,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_53562,c_51]) ).

tcf(c_53946,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(implies(implies(n(X0),X0),X0),X1)) ),
    inference(superposition,[status(thm)],[c_53637,c_1139]) ).

tcf(c_53952,plain,
    ! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_53475,c_1139]) ).

tcf(c_54289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( is_a_theorem(implies(implies(X2,X0),X3))
      | ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
    inference(superposition,[status(thm)],[c_1211,c_53294]) ).

tcf(c_54540,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_a_theorem(implies(X0,implies(X2,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_53364,c_53426]) ).

tcf(c_55909,plain,
    ~ is_a_theorem(implies(implies(n(z),y),implies(implies(y,z),z))),
    inference(superposition,[status(thm)],[c_54540,c_53293]) ).

tcf(c_56382,plain,
    ! [X0: $i,X1: $i] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X0,implies(n(X1),X1))) ),
    inference(superposition,[status(thm)],[c_53180,c_53946]) ).

tcf(c_67513,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1)),
    inference(superposition,[status(thm)],[c_53952,c_56382]) ).

tcf(c_89402,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_67513,c_54289]) ).

tcf(c_97404,plain,
    ! [X0: $i,X1: $i] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0))),
    inference(superposition,[status(thm)],[c_89402,c_54289]) ).

tcf(c_97413,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_55909,c_97404]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL365+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Wed Sep 23 23:01:25 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 104.79/15.01  % SZS status Started for theBenchmark.p
% 104.79/15.01  % SZS status Theorem for theBenchmark.p
% 104.79/15.01  
% 104.79/15.01  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 104.79/15.01  
% 104.79/15.01  % ------  iProver source info
% 104.79/15.01  
% 104.79/15.01  % git: date: 2026-07-19 20:42:38 +0200
% 104.79/15.01  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 104.79/15.01  % git: non_committed_changes: false
% 104.79/15.01  
% 104.79/15.01  % ------ Parsing...
% 104.79/15.01  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 104.79/15.01  
% 104.79/15.01  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 104.79/15.01  
% 104.79/15.01  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 104.79/15.01  % ------ Proving...
% 104.79/15.01  % ------ Problem Properties 
% 104.79/15.01  
% 104.79/15.01  % 
% 104.79/15.01  % clauses                               3
% 104.79/15.01  % conjectures                           1
% 104.79/15.01  % EPR                                   0
% 104.79/15.01  % Horn                                  3
% 104.79/15.01  % unary                                 2
% 104.79/15.01  % binary                                0
% 104.79/15.01  % lits                                  5
% 104.79/15.01  % lits eq                               0
% 104.79/15.01  % fd_pure                               0
% 104.79/15.01  % fd_pseudo                             0
% 104.79/15.01  % fd_cond                               0
% 104.79/15.01  % fd_pseudo_cond                        0
% 104.79/15.01  % AC symbols                            0
% 104.79/15.01  
% 104.79/15.01  % ------ Schedule dynamic 5 is on 
% 104.79/15.01  
% 104.79/15.01  % ------ no equalities: superposition off 
% 104.79/15.01  
% 104.79/15.01  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 104.79/15.01  
% 104.79/15.01  
% 104.79/15.01  % ------ 
% 104.79/15.01  % Current options:
% 104.79/15.01  % ------ 
% 104.79/15.01  
% 104.79/15.01  
% 104.79/15.01  % 
% 104.79/15.01  
% 104.79/15.01  % ------ Proving...
% 104.79/15.01  % Proof_search_loop: time out after: 1109 full_loop iterations
% 104.79/15.01  
% 104.79/15.01  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 104.79/15.01  
% 104.79/15.01  
% 104.79/15.01  % ------ 
% 104.79/15.01  % Current options:
% 104.79/15.01  % ------ 
% 104.79/15.01  
% 104.79/15.01  
% 104.79/15.01  % 
% 104.79/15.01  
% 104.79/15.01  % ------ Proving...
% 104.79/15.01  % 
% 104.79/15.01  
% 104.79/15.01  % SZS status Theorem for theBenchmark.p
% 104.79/15.01  
% 104.79/15.01  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 104.79/15.01  
% 104.79/15.01  
%------------------------------------------------------------------------------