TSTP Solution File: LCL015-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL015-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% 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 : Tue Apr 30 13:40:12 EDT 2024

% Result   : Unsatisfiable 34.27s 5.29s
% Output   : Refutation 34.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   83 (  55 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  30   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  297 ( 297   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f263877,plain,
    $false,
    inference(resolution,[],[f249860,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wn) ).

fof(f249860,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X0,X1)))),
    inference(resolution,[],[f242481,f157876]) ).

fof(f157876,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X1,X0),X2))
      | is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
    inference(resolution,[],[f123265,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f123265,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X1,X0),X2))),
    inference(resolution,[],[f101082,f69346]) ).

fof(f69346,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(X1,X0)))),
    inference(resolution,[],[f51349,f37589]) ).

fof(f37589,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X0),equivalent(X2,X1)))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f28190,f1]) ).

fof(f28190,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X0)),X2)),
    inference(resolution,[],[f21932,f21933]) ).

fof(f21933,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X1,X0))
      | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f21822,f1]) ).

fof(f21822,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
    inference(resolution,[],[f1718,f716]) ).

fof(f716,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0)))
      | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f360,f1]) ).

fof(f360,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X2,X1))),
    inference(resolution,[],[f348,f40]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X3),X5)),X2),equivalent(X5,X4))),equivalent(X0,X1))))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f36,f1]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(equivalent(X3,X2),X4)),X1),equivalent(X4,X3))),equivalent(X5,X0))),X5)),
    inference(resolution,[],[f32,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yrm) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X3),X5)),X2),equivalent(X5,X4))),X1),X0)))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f24,f1]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(equivalent(X3,X2),X4)),X1),equivalent(X4,X3))),X0),X5)),X5)),
    inference(resolution,[],[f17,f8]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(equivalent(X3,X4),equivalent(X5,equivalent(equivalent(X4,X5),X3)))),equivalent(X2,X1))),
    inference(resolution,[],[f7,f2]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(X3)
      | is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X3),equivalent(X2,X1))) ),
    inference(resolution,[],[f5,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),X0),equivalent(X3,X2)))),
    inference(resolution,[],[f4,f2]) ).

fof(f4,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X2,X1))
      | is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X2))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f17,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,X4),equivalent(X5,equivalent(equivalent(X4,X5),X3)))))
      | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f348,plain,
    ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
    inference(resolution,[],[f337,f298]) ).

fof(f298,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,X0)))),X2)),
    inference(resolution,[],[f290,f17]) ).

fof(f290,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),X3),equivalent(X2,X0)))),
    inference(resolution,[],[f280,f74]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X2))),X3)))),
    inference(resolution,[],[f67,f4]) ).

fof(f67,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),X2),X1)),
    inference(resolution,[],[f46,f2]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X1,X2),X0)),equivalent(X3,equivalent(equivalent(equivalent(X4,equivalent(equivalent(X5,X4),X6)),X3),equivalent(X6,X5)))))
      | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f9,f1]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X3,equivalent(equivalent(equivalent(X4,equivalent(equivalent(X5,X4),X6)),X3),equivalent(X6,X5)))),equivalent(X2,X1))),
    inference(resolution,[],[f7,f5]) ).

fof(f280,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,equivalent(X3,equivalent(X4,X2))),X4),X3),equivalent(X0,X1))))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f263,f1]) ).

fof(f263,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),X3),X2),equivalent(X4,X0))),X4)),
    inference(resolution,[],[f97,f75]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X0,equivalent(X2,X1))),X2))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f67,f1]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),X3),X2)),equivalent(equivalent(X4,equivalent(X0,equivalent(X5,X4))),X5))),
    inference(resolution,[],[f93,f67]) ).

fof(f93,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(X1)
      | is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X0,equivalent(X3,X2))),X3))) ),
    inference(resolution,[],[f74,f1]) ).

fof(f337,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X0)),X2))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f299,f1]) ).

fof(f299,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X1),X2)),
    inference(resolution,[],[f290,f32]) ).

fof(f1718,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X1),equivalent(X2,X0)))),
    inference(resolution,[],[f1022,f1591]) ).

fof(f1591,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
    inference(resolution,[],[f1445,f449]) ).

fof(f449,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X1),X0),X2))),
    inference(resolution,[],[f412,f4]) ).

fof(f412,plain,
    ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
    inference(resolution,[],[f372,f299]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f358,f1]) ).

fof(f358,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
    inference(resolution,[],[f348,f162]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(equivalent(X3,equivalent(X4,equivalent(X5,X3))),X5),X4)))
      | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f78,f1]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(equivalent(equivalent(X3,equivalent(X4,equivalent(X5,X3))),X5),X4)),equivalent(X2,X1))),
    inference(resolution,[],[f67,f7]) ).

fof(f1445,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X1,equivalent(X0,X1)))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f1397,f1]) ).

fof(f1397,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1)),
    inference(resolution,[],[f1371,f716]) ).

fof(f1371,plain,
    ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
    inference(resolution,[],[f1020,f337]) ).

fof(f1020,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,X1)))),X2)),
    inference(resolution,[],[f864,f716]) ).

fof(f864,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
    inference(resolution,[],[f716,f290]) ).

fof(f1022,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X1,X2))
      | is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0)))) ),
    inference(resolution,[],[f864,f1]) ).

fof(f21932,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X0),equivalent(X2,X1)))),
    inference(resolution,[],[f21822,f4]) ).

fof(f51349,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,X0))),X1)),
    inference(resolution,[],[f42838,f716]) ).

fof(f42838,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,equivalent(X0,X2)))))),
    inference(resolution,[],[f32318,f21933]) ).

fof(f32318,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,equivalent(X2,X1)))),X2)),
    inference(resolution,[],[f22044,f716]) ).

fof(f22044,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))),
    inference(resolution,[],[f21933,f298]) ).

fof(f101082,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X2,equivalent(X1,X0)))
      | is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
    inference(resolution,[],[f67174,f1]) ).

fof(f67174,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X1),X0))),
    inference(resolution,[],[f48632,f37589]) ).

fof(f48632,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),equivalent(X2,X1))),X2)),
    inference(resolution,[],[f35771,f181]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,equivalent(equivalent(X2,X3),X1)),X0)))),
    inference(resolution,[],[f173,f74]) ).

fof(f173,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))),equivalent(X0,X1))))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f160,f1]) ).

fof(f160,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1))),equivalent(X4,X0))),X4)),
    inference(resolution,[],[f78,f75]) ).

fof(f35771,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),X2),X0)))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f22189,f1]) ).

fof(f22189,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),X1),X2)),X2)),
    inference(resolution,[],[f21933,f346]) ).

fof(f346,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X1,X2),X2),X0)))),
    inference(resolution,[],[f327,f74]) ).

fof(f327,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f298,f1]) ).

fof(f242481,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
    inference(resolution,[],[f222278,f70814]) ).

fof(f70814,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X0,X1)),X2))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f52208,f1]) ).

fof(f52208,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),X1),X2)),
    inference(resolution,[],[f44157,f716]) ).

fof(f44157,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X0,X2),X1),X2)))),
    inference(resolution,[],[f32667,f21933]) ).

fof(f32667,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X0),X2)),X1)),
    inference(resolution,[],[f22048,f716]) ).

fof(f22048,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X1,X2),X0))))),
    inference(resolution,[],[f21933,f9909]) ).

fof(f9909,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X0,X1),X2))),X2)),
    inference(resolution,[],[f3708,f14]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X3),equivalent(X2,X1)),equivalent(X4,equivalent(equivalent(equivalent(X5,equivalent(equivalent(X6,X5),X7)),X4),equivalent(X7,X6)))),X3)),
    inference(resolution,[],[f11,f5]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(X4)
      | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X3),equivalent(X2,X1)),X4),X3)) ),
    inference(resolution,[],[f6,f1]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),X4),equivalent(X3,X2)),X0),X4))),
    inference(resolution,[],[f5,f4]) ).

fof(f3708,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X1,X2))),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f1408,f1]) ).

fof(f1408,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,X1))),X2),X2)),
    inference(resolution,[],[f1371,f362]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
    inference(resolution,[],[f348,f1]) ).

fof(f222278,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X0),X2)),equivalent(X3,X1))),
    inference(resolution,[],[f213180,f44]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X3,equivalent(X4,equivalent(equivalent(equivalent(X5,equivalent(equivalent(X6,X5),X7)),X4),equivalent(X7,X6))))),equivalent(X2,X1)),X3)),
    inference(resolution,[],[f9,f17]) ).

fof(f213180,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X2,X1)))),X3),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f383,f1]) ).

fof(f383,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,X0)))),X2),X3),X3)),
    inference(resolution,[],[f362,f298]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Apr 29 23:10:02 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  % (10577)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (10579)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39  % (10583)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39  % (10581)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.39  % (10584)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39  % (10582)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39  % (10585)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  % (10580)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [3]
% 0.16/0.40  TRYING [4]
% 0.16/0.40  TRYING [4]
% 0.16/0.40  TRYING [4]
% 0.16/0.40  TRYING [4]
% 0.23/0.57  TRYING [5]
% 1.74/0.61  TRYING [5]
% 1.74/0.61  TRYING [5]
% 1.98/0.65  TRYING [5]
% 34.27/5.28  % (10583)First to succeed.
% 34.27/5.29  % (10583)Refutation found. Thanks to Tanya!
% 34.27/5.29  % SZS status Unsatisfiable for theBenchmark
% 34.27/5.29  % SZS output start Proof for theBenchmark
% See solution above
% 34.27/5.29  % (10583)------------------------------
% 34.27/5.29  % (10583)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 34.27/5.29  % (10583)Termination reason: Refutation
% 34.27/5.29  
% 34.27/5.29  % (10583)Memory used [KB]: 78388
% 34.27/5.29  % (10583)Time elapsed: 4.893 s
% 34.27/5.29  % (10583)Instructions burned: 18594 (million)
% 34.27/5.29  % (10583)------------------------------
% 34.27/5.29  % (10583)------------------------------
% 34.27/5.29  % (10577)Success in time 4.827 s
%------------------------------------------------------------------------------