TSTP Solution File: LCL093-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL093-1 : 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 : n003.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 : Sun May 5 07:44:01 EDT 2024
% Result : Unsatisfiable 16.06s 2.61s
% Output : Refutation 16.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 3
% Syntax : Number of formulae : 99 ( 60 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 81 ( 41 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 7 ( 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 : 385 ( 385 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111509,plain,
$false,
inference(resolution,[],[f111286,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_4) ).
fof(f111286,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f93590,f6635]) ).
fof(f6635,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,implies(X0,X2))))),
inference(resolution,[],[f6093,f1096]) ).
fof(f1096,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(implies(X3,X0),X0)))),
inference(resolution,[],[f1079,f767]) ).
fof(f767,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1)))),
inference(resolution,[],[f751,f15]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(resolution,[],[f12,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X1,X4),implies(X3,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X6,X4,X5] : is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X5)),implies(implies(X5,X2),implies(X6,implies(X4,X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f12,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
inference(resolution,[],[f11,f2]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))) ),
inference(resolution,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(resolution,[],[f7,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X5,X2)),implies(X2,X3)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X3)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f751,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1)))) ),
inference(resolution,[],[f710,f1]) ).
fof(f710,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))),
inference(resolution,[],[f695,f15]) ).
fof(f695,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))) ),
inference(resolution,[],[f613,f1]) ).
fof(f613,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))),
inference(resolution,[],[f247,f2]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(X5,implies(X6,implies(X7,X3))),implies(implies(X2,X3),implies(X3,X4))))
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,X4))))) ),
inference(resolution,[],[f51,f1]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))),implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5)))))),
inference(resolution,[],[f6,f4]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))),
inference(resolution,[],[f5,f4]) ).
fof(f1079,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(implies(X3,X0),X0)))) ),
inference(resolution,[],[f1004,f1]) ).
fof(f1004,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))),
inference(resolution,[],[f986,f15]) ).
fof(f986,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(X5)
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))) ),
inference(resolution,[],[f885,f1]) ).
fof(f885,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))),
inference(resolution,[],[f641,f2]) ).
fof(f641,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(X6,implies(implies(X7,X5),implies(X5,X8))),implies(X2,implies(X3,implies(X4,X5)))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X5)))))) ),
inference(resolution,[],[f243,f1]) ).
fof(f243,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))),implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2))))))),
inference(resolution,[],[f51,f4]) ).
fof(f6093,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,implies(X0,X2))))) ),
inference(resolution,[],[f3543,f1]) ).
fof(f3543,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,implies(X1,X3)))))),
inference(resolution,[],[f3434,f2]) ).
fof(f3434,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2756,f1]) ).
fof(f2756,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X1,X2)))),
inference(resolution,[],[f2718,f4]) ).
fof(f2718,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f2650,f909]) ).
fof(f909,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),implies(X2,X1)))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[],[f798,f1]) ).
fof(f798,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X3,implies(X1,implies(X2,X1))))),
inference(resolution,[],[f767,f4]) ).
fof(f2650,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f2581,f1096]) ).
fof(f2581,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[],[f2499,f1]) ).
fof(f2499,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f2354,f1096]) ).
fof(f2354,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[],[f2275,f1]) ).
fof(f2275,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f2211,f1096]) ).
fof(f2211,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[],[f2142,f1]) ).
fof(f2142,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(resolution,[],[f1953,f1246]) ).
fof(f1246,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X2))),implies(X1,implies(X2,X2)))),
inference(resolution,[],[f1229,f1096]) ).
fof(f1229,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X2))),implies(X1,implies(X2,X2)))) ),
inference(resolution,[],[f1188,f1]) ).
fof(f1188,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3))))),
inference(resolution,[],[f1142,f38]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(resolution,[],[f32,f4]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
inference(resolution,[],[f30,f2]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
inference(resolution,[],[f15,f7]) ).
fof(f1142,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X2))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) ),
inference(resolution,[],[f1096,f1]) ).
fof(f1953,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1290,f1]) ).
fof(f1290,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1)))),
inference(resolution,[],[f1246,f4]) ).
fof(f93590,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f77719,f1]) ).
fof(f77719,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f77509,f41592]) ).
fof(f41592,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X1,X2)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f17234,f1]) ).
fof(f17234,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),X2),X2)),
inference(resolution,[],[f17069,f9915]) ).
fof(f9915,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f9755,f1]) ).
fof(f9755,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f9636,f1096]) ).
fof(f9636,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(implies(X0,X1),X1))) ),
inference(resolution,[],[f9470,f1]) ).
fof(f9470,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f9429,f1096]) ).
fof(f9429,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))) ),
inference(resolution,[],[f9336,f1]) ).
fof(f9336,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X2,X3),X3))))),
inference(resolution,[],[f7339,f3615]) ).
fof(f3615,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2907,f1]) ).
fof(f2907,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0)))),
inference(resolution,[],[f2838,f4]) ).
fof(f2838,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f2774,f1096]) ).
fof(f2774,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[],[f2718,f1]) ).
fof(f7339,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(X0,X2),X3)))),
inference(resolution,[],[f7217,f4]) ).
fof(f7217,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,implies(X3,X2))))),
inference(resolution,[],[f7186,f1096]) ).
fof(f7186,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,implies(X3,X2))))) ),
inference(resolution,[],[f7102,f1]) ).
fof(f7102,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X2,implies(X4,X3)))))),
inference(resolution,[],[f111,f3615]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(X0,X4)))),
inference(resolution,[],[f64,f4]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))),
inference(resolution,[],[f61,f2]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X1)),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f38,f1]) ).
fof(f17069,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f9605,f11920]) ).
fof(f11920,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f11832,f1]) ).
fof(f11832,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f11747,f10691]) ).
fof(f10691,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(X1,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f10300,f1]) ).
fof(f10300,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X0,X0)),X1),X1)),
inference(resolution,[],[f9915,f1535]) ).
fof(f1535,plain,
! [X0] : is_a_theorem(implies(X0,implies(X0,X0))),
inference(resolution,[],[f1448,f1096]) ).
fof(f1448,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,implies(X0,X0))) ),
inference(resolution,[],[f1387,f1]) ).
fof(f1387,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X1,X1)))),
inference(resolution,[],[f1335,f1096]) ).
fof(f1335,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,implies(X1,X1)))) ),
inference(resolution,[],[f1292,f1]) ).
fof(f1292,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X2,X2))))),
inference(resolution,[],[f1246,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(X5,X4),implies(X4,X6)),implies(X2,implies(X3,X4))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X4))))) ),
inference(resolution,[],[f6,f1]) ).
fof(f11747,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f9894,f10691]) ).
fof(f9894,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(resolution,[],[f9755,f6033]) ).
fof(f6033,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,X4),implies(X2,X3)))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[],[f3423,f1]) ).
fof(f3423,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(X3,implies(X4,implies(X2,X0))))),
inference(resolution,[],[f2756,f4]) ).
fof(f9605,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X3,implies(X0,X2)))),
inference(resolution,[],[f9470,f4]) ).
fof(f77509,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f65555,f6635]) ).
fof(f65555,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f21983,f1]) ).
fof(f21983,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f21304,f9605]) ).
fof(f21304,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f21196,f1]) ).
fof(f21196,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f21116,f10766]) ).
fof(f10766,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f10301,f1]) ).
fof(f10301,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)),
inference(resolution,[],[f9915,f2838]) ).
fof(f21116,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1))),
inference(resolution,[],[f9892,f17189]) ).
fof(f17189,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f17069,f1]) ).
fof(f9892,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(implies(X1,X3),X0),X1)))),
inference(resolution,[],[f9755,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL093-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n003.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 13:50:20 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (29965)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (29969)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 % (29970)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32 % (29971)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 % (29967)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (29966)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (29968)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)
% 0.15/0.32 % (29972)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)
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [3]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [4]
% 0.15/0.53 TRYING [5]
% 0.15/0.53 TRYING [5]
% 0.15/0.54 TRYING [5]
% 0.15/0.55 TRYING [5]
% 16.06/2.60 % (29970)First to succeed.
% 16.06/2.60 % (29970)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29965"
% 16.06/2.61 % (29970)Refutation found. Thanks to Tanya!
% 16.06/2.61 % SZS status Unsatisfiable for theBenchmark
% 16.06/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 16.06/2.61 % (29970)------------------------------
% 16.06/2.61 % (29970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 16.06/2.61 % (29970)Termination reason: Refutation
% 16.06/2.61
% 16.06/2.61 % (29970)Memory used [KB]: 21554
% 16.06/2.61 % (29970)Time elapsed: 2.282 s
% 16.06/2.61 % (29970)Instructions burned: 5777 (million)
% 16.06/2.61 % (29965)Success in time 2.262 s
%------------------------------------------------------------------------------