%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL375+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 : Tue Sep 29 11:52:10 AM UTC 2026
% Result : Theorem 34.36s 6.53s
% Output : Refutation 40.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 13
% Syntax : Number of formulae : 200 ( 31 unt; 10 def)
% Number of atoms : 487 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 578 ( 291 ~; 282 |; 1 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 476 ( 0 sgn 476 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f7]) ).
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,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z)))),
inference(cnf_transformation,[],[f5]) ).
fof(f11,definition,
sF0 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
implies(x,y) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = implies(sF0,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
implies(sF0,z) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = implies(x,u),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
implies(x,u) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = implies(u,z),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
implies(u,z) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = implies(sF3,z),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
implies(sF3,z) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = implies(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
implies(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = implies(sF1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
implies(sF1,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
~ is_a_theorem(sF6),
inference(definition_folding,[],[f10,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f78,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f114,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f78,f9]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5)),
inference(resolution,[],[f114,f78]) ).
fof(f159,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f151,f78]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f151,f8]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : 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(resolution,[],[f159,f78]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( 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))
| ~ is_a_theorem(X8) ),
inference(resolution,[],[f176,f8]) ).
fof(f207,definition,
( spl7_11
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
fof(f208,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,definition,
( spl7_12
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : 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)) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f211,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : 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))
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( spl7_11
| spl7_12 ),
inference(avatar_split_clause,[],[f184,f210,f207]) ).
fof(f213,plain,
( $false
| ~ spl7_11 ),
inference(resolution,[],[f208,f9]) ).
fof(f222,plain,
~ spl7_11,
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f224,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(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)),X0)))
| is_a_theorem(X0) )
| ~ spl7_12 ),
inference(resolution,[],[f211,f8]) ).
fof(f248,plain,
( ! [X2,X3,X0,X1,X4] : 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))
| ~ spl7_12 ),
inference(resolution,[],[f224,f114]) ).
fof(f294,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl7_12 ),
inference(resolution,[],[f160,f248]) ).
fof(f296,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(n(X1),X1),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f160,f211]) ).
fof(f316,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl7_12 ),
inference(resolution,[],[f294,f224]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl7_12 ),
inference(resolution,[],[f316,f8]) ).
fof(f361,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f336,f8]) ).
fof(f381,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) )
| ~ spl7_12 ),
inference(resolution,[],[f361,f316]) ).
fof(f383,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl7_12 ),
inference(resolution,[],[f361,f114]) ).
fof(f409,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl7_12 ),
inference(resolution,[],[f383,f160]) ).
fof(f422,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl7_12 ),
inference(resolution,[],[f409,f316]) ).
fof(f439,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f422,f361]) ).
fof(f462,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl7_12 ),
inference(resolution,[],[f439,f336]) ).
fof(f515,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl7_12 ),
inference(resolution,[],[f296,f439]) ).
fof(f519,plain,
( ! [X0] : is_a_theorem(implies(implies(n(X0),X0),X0))
| ~ spl7_12 ),
inference(resolution,[],[f296,f409]) ).
fof(f525,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(n(X0),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f515,f224]) ).
fof(f527,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl7_12 ),
inference(resolution,[],[f515,f409]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(n(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f525,f361]) ).
fof(f579,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))
| ~ spl7_12 ),
inference(resolution,[],[f462,f316]) ).
fof(f582,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))
| ~ spl7_12 ),
inference(resolution,[],[f462,f515]) ).
fof(f599,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f582,f224]) ).
fof(f607,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f582,f8]) ).
fof(f616,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(X1,X0)))
| ~ spl7_12 ),
inference(resolution,[],[f599,f409]) ).
fof(f682,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X2),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f616,f361]) ).
fof(f847,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl7_12 ),
inference(resolution,[],[f579,f224]) ).
fof(f859,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f579,f8]) ).
fof(f890,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(n(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f847,f361]) ).
fof(f907,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(n(X0),implies(X0,implies(X1,X2))))
| ~ spl7_12 ),
inference(resolution,[],[f859,f847]) ).
fof(f951,plain,
( ! [X0] : is_a_theorem(implies(n(X0),implies(X0,sF5)))
| ~ spl7_12 ),
inference(superposition,[],[f907,f22]) ).
fof(f1047,plain,
( is_a_theorem(implies(n(sF1),sF6))
| ~ spl7_12 ),
inference(superposition,[],[f951,f24]) ).
fof(f1098,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f519,f361]) ).
fof(f1104,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1))
| ~ spl7_12 ),
inference(resolution,[],[f1098,f582]) ).
fof(f1115,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl7_12 ),
inference(resolution,[],[f1098,f336]) ).
fof(f1143,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f1104,f361]) ).
fof(f1198,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X1,X0)))
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f1115,f361]) ).
fof(f1298,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f1198,f316]) ).
fof(f1346,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))
| ~ spl7_12 ),
inference(resolution,[],[f1298,f159]) ).
fof(f1352,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl7_12 ),
inference(resolution,[],[f1298,f296]) ).
fof(f1378,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f1352,f859]) ).
fof(f1386,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(n(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f1352,f361]) ).
fof(f1398,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl7_12 ),
inference(resolution,[],[f1378,f890]) ).
fof(f1424,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl7_12 ),
inference(resolution,[],[f1398,f1298]) ).
fof(f1454,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f1424,f361]) ).
fof(f1532,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f1454,f316]) ).
fof(f1553,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl7_12 ),
inference(resolution,[],[f1532,f462]) ).
fof(f1576,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2))))
| ~ spl7_12 ),
inference(resolution,[],[f1553,f607]) ).
fof(f1589,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X3),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f1553,f361]) ).
fof(f1671,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(u,implies(sF3,z))))
| ~ spl7_12 ),
inference(superposition,[],[f1576,f18]) ).
fof(f1676,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(u,sF4)))
| ~ spl7_12 ),
inference(forward_demodulation,[],[f1671,f20]) ).
fof(f1693,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,u),implies(X0,sF4)))
| ~ spl7_12 ),
inference(resolution,[],[f1676,f1298]) ).
fof(f1717,plain,
( is_a_theorem(implies(sF2,implies(x,sF4)))
| ~ spl7_12 ),
inference(superposition,[],[f1693,f16]) ).
fof(f1819,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,sF5),implies(X0,sF6)))
| ~ spl7_12 ),
inference(superposition,[],[f1346,f24]) ).
fof(f1962,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl7_12 ),
inference(resolution,[],[f1589,f316]) ).
fof(f1964,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl7_12 ),
inference(resolution,[],[f1589,f336]) ).
fof(f2023,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2)))
| ~ spl7_12 ),
inference(resolution,[],[f1962,f1143]) ).
fof(f2030,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f1962,f8]) ).
fof(f2060,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(n(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl7_12 ),
inference(resolution,[],[f2030,f536]) ).
fof(f2063,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl7_12 ),
inference(resolution,[],[f2030,f316]) ).
fof(f2064,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(implies(X0,X1),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f2030,f599]) ).
fof(f2103,plain,
( is_a_theorem(implies(x,implies(sF2,sF4)))
| ~ spl7_12 ),
inference(resolution,[],[f2030,f1717]) ).
fof(f2111,plain,
( is_a_theorem(implies(x,sF5))
| ~ spl7_12 ),
inference(forward_demodulation,[],[f2103,f22]) ).
fof(f2131,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X2,X3))) )
| ~ spl7_12 ),
inference(resolution,[],[f2063,f361]) ).
fof(f2132,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl7_12 ),
inference(resolution,[],[f2063,f8]) ).
fof(f2192,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1))) )
| ~ spl7_12 ),
inference(resolution,[],[f2132,f1386]) ).
fof(f2302,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X3,X3),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f2023,f361]) ).
fof(f2728,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X3,X2)))
| ~ is_a_theorem(X0) )
| ~ spl7_12 ),
inference(resolution,[],[f2131,f8]) ).
fof(f2807,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f2064,f361]) ).
fof(f2826,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl7_12 ),
inference(resolution,[],[f2807,f336]) ).
fof(f2933,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X0),X2)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f2826,f2030]) ).
fof(f3442,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f2728,f422]) ).
fof(f4920,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X0),implies(X1,X0)))
| is_a_theorem(implies(implies(X0,X2),implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f2933,f1589]) ).
fof(f4980,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(n(n(X0)),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f4920,f525]) ).
fof(f5389,plain,
( ! [X0,X1] :
( is_a_theorem(implies(n(n(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f4980,f8]) ).
fof(f6559,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(n(X0),X2)))
| ~ spl7_12 ),
inference(resolution,[],[f1964,f847]) ).
fof(f6647,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),X2)))
| ~ spl7_12 ),
inference(resolution,[],[f6559,f2807]) ).
fof(f6648,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl7_12 ),
inference(resolution,[],[f6559,f1098]) ).
fof(f6649,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl7_12 ),
inference(resolution,[],[f6559,f682]) ).
fof(f6710,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f6649,f361]) ).
fof(f6739,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f6710,f2933]) ).
fof(f6871,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f6648,f361]) ).
fof(f6920,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f6871,f2933]) ).
fof(f6927,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
| ~ spl7_12 ),
inference(resolution,[],[f6871,f1346]) ).
fof(f6973,plain,
( ! [X0,X1] : is_a_theorem(implies(n(implies(X0,X1)),X0))
| ~ spl7_12 ),
inference(resolution,[],[f6871,f1398]) ).
fof(f7060,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f6920,f361]) ).
fof(f7145,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X2),X1))
| is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl7_12 ),
inference(resolution,[],[f7060,f336]) ).
fof(f7147,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X1,X2)),implies(X0,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f7060,f316]) ).
fof(f7316,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f7147,f2060]) ).
fof(f7375,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f7316,f1454]) ).
fof(f7378,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X2),X3))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X3))) )
| ~ spl7_12 ),
inference(resolution,[],[f7316,f2302]) ).
fof(f7397,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(X0,X1)))
| is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f7316,f361]) ).
fof(f7531,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X3))) )
| ~ spl7_12 ),
inference(resolution,[],[f7397,f422]) ).
fof(f7800,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f6647,f2030]) ).
fof(f7855,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),X2))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl7_12 ),
inference(resolution,[],[f7800,f8]) ).
fof(f8057,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f6927,f361]) ).
fof(f8504,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) )
| ~ spl7_12 ),
inference(resolution,[],[f7375,f381]) ).
fof(f8608,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f6739,f361]) ).
fof(f10373,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) )
| ~ spl7_12 ),
inference(resolution,[],[f8504,f8]) ).
fof(f10635,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f10373,f1576]) ).
fof(f11357,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f10635,f336]) ).
fof(f11420,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),implies(implies(X1,X2),X2)))
| ~ spl7_12 ),
inference(resolution,[],[f11357,f296]) ).
fof(f12472,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X2),X0))
| is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(X2,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f7145,f5389]) ).
fof(f12753,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(n(X0),X0),X2)))
| ~ spl7_12 ),
inference(resolution,[],[f11420,f1964]) ).
fof(f12888,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),implies(X2,X1))))
| ~ spl7_12 ),
inference(resolution,[],[f12753,f859]) ).
fof(f13135,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,X3)) )
| ~ spl7_12 ),
inference(resolution,[],[f12888,f2728]) ).
fof(f13414,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X2,implies(implies(X2,X0),implies(X3,X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f13135,f859]) ).
fof(f17543,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f12472,f6973]) ).
fof(f17869,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,implies(X2,X0)),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f13414,f7378]) ).
fof(f18003,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,implies(X3,X0))))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f17869,f361]) ).
fof(f18906,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X3)))
| ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f18003,f2132]) ).
fof(f20370,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,implies(implies(X3,X2),X0)),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f18906,f422]) ).
fof(f20824,definition,
( spl7_211
<=> is_a_theorem(implies(sF4,sF6)) ),
introduced(definition,[new_symbols(definition,[spl7_211])],[avatar_definition]) ).
fof(f20825,plain,
( is_a_theorem(implies(sF4,sF6))
| ~ spl7_211 ),
inference(avatar_component_clause,[],[f20824]) ).
fof(f20826,plain,
( ~ is_a_theorem(implies(sF4,sF6))
| spl7_211 ),
inference(avatar_component_clause,[],[f20824]) ).
fof(f21492,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X3,X2),X0)))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f20370,f8]) ).
fof(f21521,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,implies(X3,X0)),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_12 ),
inference(resolution,[],[f21492,f159]) ).
fof(f21653,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X3,X0),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f21521,f7531]) ).
fof(f21839,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(sF5,X1)))
| is_a_theorem(implies(sF4,implies(X0,X1))) )
| ~ spl7_12 ),
inference(superposition,[],[f21653,f22]) ).
fof(f25812,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X1),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl7_12 ),
inference(resolution,[],[f8057,f336]) ).
fof(f26022,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2)))
| ~ spl7_12 ),
inference(resolution,[],[f25812,f1553]) ).
fof(f26203,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X3),X2)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl7_12 ),
inference(resolution,[],[f26022,f361]) ).
fof(f26334,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,implies(X0,X2)),implies(X0,X2))))
| ~ spl7_12 ),
inference(resolution,[],[f26203,f316]) ).
fof(f26342,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X1),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f26203,f599]) ).
fof(f26516,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X0,X1),X1)))
| ~ spl7_12 ),
inference(resolution,[],[f26342,f2030]) ).
fof(f26622,plain,
( is_a_theorem(implies(implies(n(u),z),implies(sF3,z)))
| ~ spl7_12 ),
inference(superposition,[],[f26516,f18]) ).
fof(f26627,plain,
( is_a_theorem(implies(implies(n(u),z),sF4))
| ~ spl7_12 ),
inference(forward_demodulation,[],[f26622,f20]) ).
fof(f27086,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2))))
| ~ spl7_12 ),
inference(resolution,[],[f26334,f2030]) ).
fof(f27196,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,sF0),implies(implies(x,X0),sF0)))
| ~ spl7_12 ),
inference(superposition,[],[f27086,f12]) ).
fof(f33312,plain,
( ! [X0] : is_a_theorem(implies(sF4,implies(X0,sF5)))
| ~ spl7_12 ),
inference(resolution,[],[f21839,f515]) ).
fof(f33514,plain,
( is_a_theorem(implies(sF4,sF6))
| ~ spl7_12 ),
inference(superposition,[],[f33312,f24]) ).
fof(f33515,plain,
( $false
| ~ spl7_12
| spl7_211 ),
inference(forward_subsumption_resolution,[],[f33514,f20826]) ).
fof(f33516,plain,
( ~ spl7_12
| spl7_211 ),
inference(avatar_contradiction_clause,[],[f33515]) ).
fof(f33522,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,sF4))
| is_a_theorem(implies(X0,sF6)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f20825,f361]) ).
fof(f33541,plain,
( is_a_theorem(implies(implies(n(u),z),sF6))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f33522,f26627]) ).
fof(f33556,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,z),implies(X0,sF6)))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f33541,f3442]) ).
fof(f33682,plain,
( is_a_theorem(implies(sF1,implies(sF0,sF6)))
| ~ spl7_12
| ~ spl7_211 ),
inference(superposition,[],[f33556,f14]) ).
fof(f33971,plain,
( is_a_theorem(implies(sF0,implies(sF1,sF6)))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f33682,f2030]) ).
fof(f34046,plain,
( ! [X0] :
( is_a_theorem(implies(sF0,implies(X0,sF6)))
| ~ is_a_theorem(implies(n(sF1),sF6)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f33971,f8608]) ).
fof(f34057,plain,
( ! [X0] : is_a_theorem(implies(sF0,implies(X0,sF6)))
| ~ spl7_12
| ~ spl7_211 ),
inference(forward_subsumption_resolution,[],[f34046,f1047]) ).
fof(f34126,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,sF0),implies(X0,sF6)))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f34057,f2192]) ).
fof(f34255,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,sF0))
| is_a_theorem(implies(X0,sF6)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f34126,f8]) ).
fof(f34263,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),sF6))
| ~ is_a_theorem(implies(X0,sF0)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f34255,f7855]) ).
fof(f36569,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X0,X2),X0)))
| is_a_theorem(implies(X1,sF6))
| ~ is_a_theorem(implies(X0,sF0)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f34263,f361]) ).
fof(f36859,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X1),sF6))
| ~ is_a_theorem(implies(X1,sF0)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f36569,f582]) ).
fof(f37092,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X2,X2),X0)))
| is_a_theorem(implies(X1,sF6))
| ~ is_a_theorem(implies(X0,sF0)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f36859,f361]) ).
fof(f37196,plain,
( is_a_theorem(implies(implies(x,sF0),sF6))
| ~ is_a_theorem(implies(sF0,sF0))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f37092,f27196]) ).
fof(f37288,plain,
( is_a_theorem(implies(implies(x,sF0),sF6))
| ~ spl7_12
| ~ spl7_211 ),
inference(forward_subsumption_resolution,[],[f37196,f527]) ).
fof(f37341,plain,
( is_a_theorem(implies(implies(x,sF6),sF6))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f37288,f17543]) ).
fof(f37375,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,implies(x,sF6)))
| is_a_theorem(implies(X0,sF6)) )
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f37341,f361]) ).
fof(f37411,plain,
( is_a_theorem(implies(implies(x,sF5),sF6))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f37375,f1819]) ).
fof(f39013,plain,
( is_a_theorem(sF6)
| ~ is_a_theorem(implies(x,sF5))
| ~ spl7_12
| ~ spl7_211 ),
inference(resolution,[],[f37411,f8]) ).
fof(f39014,plain,
( ~ is_a_theorem(implies(x,sF5))
| ~ spl7_12
| ~ spl7_211 ),
inference(forward_subsumption_resolution,[],[f39013,f25]) ).
fof(f39021,plain,
( $false
| ~ spl7_12
| ~ spl7_211 ),
inference(forward_subsumption_resolution,[],[f39014,f2111]) ).
fof(f39022,plain,
( ~ spl7_12
| ~ spl7_211 ),
inference(avatar_contradiction_clause,[],[f39021]) ).
cnf(s6,plain,
( spl7_11
| spl7_12 ),
inference(sat_conversion,[],[f212]) ).
cnf(s11,plain,
~ spl7_11,
inference(sat_conversion,[],[f222]) ).
cnf(s493,plain,
( ~ spl7_12
| spl7_211 ),
inference(sat_conversion,[],[f33516]) ).
cnf(s709,plain,
( ~ spl7_12
| ~ spl7_211 ),
inference(sat_conversion,[],[f39022]) ).
cnf(s713,plain,
spl7_12,
inference(rat,[],[s6,s11]) ).
cnf(s714,plain,
~ spl7_211,
inference(rat,[],[s709,s713]) ).
cnf(s718,plain,
$false,
inference(rat,[],[s493,s714,s713]) ).
fof(f39024,plain,
$false,
inference(avatar_sat_refutation,[],[s718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL375+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:37:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.69/2.81 % (3118006)Detected formulas, will run a generic FOF schedule.
% 13.69/2.81 % (3118012)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3344462261:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.69/2.81 % (3118011)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3331100156:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.69/2.81 % (3118013)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=911166593:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.69/2.81 % (3118015)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1762527700:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.69/2.81 % (3118017)dis-21_1_sil=8000:lcm=predicate:random_seed=1594118259:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.69/2.81 % (3118016)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=442981443:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.69/2.81 % (3118014)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3321373186:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.69/2.81 % (3118014)Refutation not found, incomplete strategy
% 13.69/2.81 % (3118014)------------------------------
% 13.69/2.81 % (3118014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.81 % (3118014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.81 % (3118015)Refutation not found, incomplete strategy
% 13.69/2.81 % (3118015)------------------------------
% 13.69/2.81 % (3118015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.81 % (3118014)CaDiCaL version: 2.1.3
% 13.69/2.81 % (3118014)Termination reason: Refutation not found, incomplete strategy
% 13.69/2.81 % (3118014)Time elapsed: 0.001 s
% 13.69/2.81 % (3118015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.81 % (3118014)Peak memory usage: 87 MB
% 13.69/2.81 % (3118015)CaDiCaL version: 2.1.3
% 13.69/2.81 % (3118015)Termination reason: Refutation not found, incomplete strategy
% 13.69/2.81 % (3118015)Time elapsed: 0.001 s
% 13.69/2.81 % (3118015)Peak memory usage: 87 MB
% 13.69/2.81 % (3118017)Instruction limit reached!
% 13.69/2.81 % (3118017)------------------------------
% 13.69/2.81 % (3118017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.81 % (3118017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.81 % (3118017)CaDiCaL version: 2.1.3
% 13.69/2.81 % (3118017)Termination reason: Instruction limit
% 13.69/2.81 % (3118017)Termination phase: Saturation
% 13.69/2.81 % (3118017)Time elapsed: 0.084 s
% 13.69/2.81 % (3118017)Peak memory usage: 89 MB
% 13.69/2.81 % (3118017)Instructions burned: 129 (million)
% 13.69/2.81 % (3118016)Instruction limit reached!
% 13.69/2.81 % (3118016)------------------------------
% 13.69/2.81 % (3118016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.81 % (3118016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.81 % (3118016)CaDiCaL version: 2.1.3
% 13.69/2.81 % (3118016)Termination reason: Instruction limit
% 13.69/2.81 % (3118016)Termination phase: Saturation
% 13.69/2.81 % (3118016)Time elapsed: 0.092 s
% 13.69/2.81 % (3118016)Peak memory usage: 89 MB
% 13.69/2.81 % (3118016)Instructions burned: 139 (million)
% 13.69/2.81 % (3118025)lrs+10_1_sil=8000:sp=occurrence:random_seed=4088142050:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.69/2.81 % (3118026)lrs+10_1_sil=32000:urr=on:br=off:random_seed=155291950:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.69/2.81 % (3118015)------------------------------
% 13.69/2.81 % (3118015)------------------------------
% 13.69/2.81 % (3118014)------------------------------
% 13.69/2.81 % (3118014)------------------------------
% 13.69/2.81 % (3118026)Instruction limit reached!
% 13.69/2.81 % (3118026)------------------------------
% 13.69/2.81 % (3118026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.69/2.81 % (3118026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.81 % (3118026)CaDiCaL version: 2.1.3
% 19.53/3.67 % (3118026)Termination reason: Instruction limit
% 19.53/3.67 % (3118026)Termination phase: Saturation
% 19.53/3.67 % (3118026)Time elapsed: 0.091 s
% 19.53/3.67 % (3118026)Peak memory usage: 88 MB
% 19.53/3.67 % (3118026)Instructions burned: 158 (million)
% 19.53/3.67 % (3118029)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1071069860:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 19.53/3.67 % (3118030)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=229590574:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.53/3.67 % (3118025)Instruction limit reached!
% 19.53/3.67 % (3118025)------------------------------
% 19.53/3.67 % (3118025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.67 % (3118025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.67 % (3118025)CaDiCaL version: 2.1.3
% 19.53/3.67 % (3118025)Termination reason: Instruction limit
% 19.53/3.67 % (3118025)Termination phase: Saturation
% 19.53/3.67 % (3118025)Time elapsed: 0.182 s
% 19.53/3.67 % (3118025)Peak memory usage: 91 MB
% 19.53/3.67 % (3118025)Instructions burned: 285 (million)
% 19.53/3.67 % (3118031)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1141242382:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.53/3.67 % (3118031)Refutation not found, incomplete strategy
% 19.53/3.67 % (3118031)------------------------------
% 19.53/3.67 % (3118031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.67 % (3118031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.67 % (3118031)CaDiCaL version: 2.1.3
% 19.53/3.67 % (3118031)Termination reason: Refutation not found, incomplete strategy
% 19.53/3.67 % (3118031)Time elapsed: 0.001 s
% 19.53/3.67 % (3118031)Peak memory usage: 87 MB
% 19.53/3.67 % (3118029)Instruction limit reached!
% 19.53/3.67 % (3118029)------------------------------
% 19.53/3.67 % (3118029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.67 % (3118029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.67 % (3118029)CaDiCaL version: 2.1.3
% 19.53/3.67 % (3118029)Termination reason: Instruction limit
% 19.53/3.67 % (3118029)Termination phase: Saturation
% 19.53/3.67 % (3118029)Time elapsed: 0.106 s
% 19.53/3.67 % (3118029)Peak memory usage: 90 MB
% 19.53/3.67 % (3118029)Instructions burned: 325 (million)
% 19.53/3.67 % (3118034)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3381577971:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.53/3.67 % (3118030)Instruction limit reached!
% 19.53/3.67 % (3118030)------------------------------
% 19.53/3.67 % (3118030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.67 % (3118030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.67 % (3118030)CaDiCaL version: 2.1.3
% 19.53/3.67 % (3118030)Termination reason: Instruction limit
% 19.53/3.67 % (3118030)Termination phase: Saturation
% 19.53/3.67 % (3118030)Time elapsed: 0.144 s
% 19.53/3.67 % (3118030)Peak memory usage: 88 MB
% 19.53/3.67 % (3118030)Instructions burned: 250 (million)
% 19.53/3.67 % (3118036)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4145426551:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.53/3.67 % (3118036)Instruction limit reached!
% 19.53/3.67 % (3118036)------------------------------
% 19.53/3.67 % (3118036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.67 % (3118036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.67 % (3118036)CaDiCaL version: 2.1.3
% 19.53/3.67 % (3118036)Termination reason: Instruction limit
% 19.53/3.67 % (3118036)Termination phase: Saturation
% 19.53/3.67 % (3118036)Time elapsed: 0.035 s
% 19.53/3.67 % (3118036)Peak memory usage: 88 MB
% 19.53/3.67 % (3118036)Instructions burned: 114 (million)
% 19.53/3.67 % (3118038)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4177141744:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.53/3.67 % (3118031)------------------------------
% 19.53/3.67 % (3118031)------------------------------
% 19.53/3.67 % (3118040)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=484779547:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 19.53/3.67 % (3118038)Instruction limit reached!
% 19.53/3.67 % (3118038)------------------------------
% 19.53/3.67 % (3118038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118038)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118038)Termination reason: Instruction limit
% 34.36/6.53 % (3118038)Termination phase: Saturation
% 34.36/6.53 % (3118038)Time elapsed: 0.070 s
% 34.36/6.53 % (3118038)Peak memory usage: 87 MB
% 34.36/6.53 % (3118038)Instructions burned: 128 (million)
% 34.36/6.53 % (3118040)Instruction limit reached!
% 34.36/6.53 % (3118040)------------------------------
% 34.36/6.53 % (3118040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118040)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118040)Termination reason: Instruction limit
% 34.36/6.53 % (3118040)Termination phase: Saturation
% 34.36/6.53 % (3118040)Time elapsed: 0.067 s
% 34.36/6.53 % (3118040)Peak memory usage: 88 MB
% 34.36/6.53 % (3118040)Instructions burned: 115 (million)
% 34.36/6.53 % (3118042)lrs+10_1_sil=8000:sp=occurrence:random_seed=2162393139:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 34.36/6.53 % (3118044)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2334021617:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 34.36/6.53 % (3118044)Refutation not found, incomplete strategy
% 34.36/6.53 % (3118044)------------------------------
% 34.36/6.53 % (3118044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118044)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118044)Termination reason: Refutation not found, incomplete strategy
% 34.36/6.53 % (3118044)Time elapsed: 0.001 s
% 34.36/6.53 % (3118044)Peak memory usage: 88 MB
% 34.36/6.53 % (3118045)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1921025522:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 34.36/6.53 % (3118044)------------------------------
% 34.36/6.53 % (3118044)------------------------------
% 34.36/6.53 % (3118049)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=542698086:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 34.36/6.53 % (3118049)Instruction limit reached!
% 34.36/6.53 % (3118049)------------------------------
% 34.36/6.53 % (3118049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118049)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118049)Termination reason: Instruction limit
% 34.36/6.53 % (3118049)Termination phase: Saturation
% 34.36/6.53 % (3118049)Time elapsed: 0.077 s
% 34.36/6.53 % (3118049)Peak memory usage: 88 MB
% 34.36/6.53 % (3118049)Instructions burned: 135 (million)
% 34.36/6.53 % (3118042)Instruction limit reached!
% 34.36/6.53 % (3118042)------------------------------
% 34.36/6.53 % (3118042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118042)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118042)Termination reason: Instruction limit
% 34.36/6.53 % (3118042)Termination phase: Saturation
% 34.36/6.53 % (3118042)Time elapsed: 0.556 s
% 34.36/6.53 % (3118042)Peak memory usage: 98 MB
% 34.36/6.53 % (3118042)Instructions burned: 908 (million)
% 34.36/6.53 % (3118051)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=988649557:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 34.36/6.53 % (3118051)Refutation not found, incomplete strategy
% 34.36/6.53 % (3118051)------------------------------
% 34.36/6.53 % (3118051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118051)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118051)Termination reason: Refutation not found, incomplete strategy
% 34.36/6.53 % (3118051)Time elapsed: 0.001 s
% 34.36/6.53 % (3118051)Peak memory usage: 88 MB
% 34.36/6.53 % (3118052)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1083908565:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 34.36/6.53 % (3118051)------------------------------
% 34.36/6.53 % (3118051)------------------------------
% 34.36/6.53 % (3118056)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1914085813:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 34.36/6.53 % (3118056)Instruction limit reached!
% 34.36/6.53 % (3118056)------------------------------
% 34.36/6.53 % (3118056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118056)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118056)Termination reason: Instruction limit
% 34.36/6.53 % (3118056)Termination phase: Saturation
% 34.36/6.53 % (3118056)Time elapsed: 0.067 s
% 34.36/6.53 % (3118056)Peak memory usage: 88 MB
% 34.36/6.53 % (3118056)Instructions burned: 125 (million)
% 34.36/6.53 % (3118034)Instruction limit reached!
% 34.36/6.53 % (3118034)------------------------------
% 34.36/6.53 % (3118034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118034)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118034)Termination reason: Instruction limit
% 34.36/6.53 % (3118034)Termination phase: Saturation
% 34.36/6.53 % (3118034)Time elapsed: 1.440 s
% 34.36/6.53 % (3118034)Peak memory usage: 142 MB
% 34.36/6.53 % (3118034)Instructions burned: 2351 (million)
% 34.36/6.53 % (3118058)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=942079938:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 34.36/6.53 % (3118058)Instruction limit reached!
% 34.36/6.53 % (3118058)------------------------------
% 34.36/6.53 % (3118058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118058)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118058)Termination reason: Instruction limit
% 34.36/6.53 % (3118058)Termination phase: Saturation
% 34.36/6.53 % (3118058)Time elapsed: 0.076 s
% 34.36/6.53 % (3118058)Peak memory usage: 89 MB
% 34.36/6.53 % (3118058)Instructions burned: 135 (million)
% 34.36/6.53 % (3118059)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1249833598:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 34.36/6.53 % (3118059)Refutation not found, incomplete strategy
% 34.36/6.53 % (3118059)------------------------------
% 34.36/6.53 % (3118059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118059)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118059)Termination reason: Refutation not found, incomplete strategy
% 34.36/6.53 % (3118059)Time elapsed: 0.001 s
% 34.36/6.53 % (3118059)Peak memory usage: 88 MB
% 34.36/6.53 % (3118061)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=90397565:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 34.36/6.53 % (3118059)------------------------------
% 34.36/6.53 % (3118059)------------------------------
% 34.36/6.53 % (3118061)Instruction limit reached!
% 34.36/6.53 % (3118061)------------------------------
% 34.36/6.53 % (3118061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118061)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118061)Termination reason: Instruction limit
% 34.36/6.53 % (3118061)Termination phase: Saturation
% 34.36/6.53 % (3118061)Time elapsed: 0.247 s
% 34.36/6.53 % (3118061)Peak memory usage: 91 MB
% 34.36/6.53 % (3118061)Instructions burned: 431 (million)
% 34.36/6.53 % (3118064)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3705129374:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 34.36/6.53 % (3118066)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2275686355:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 34.36/6.53 % (3118066)Instruction limit reached!
% 34.36/6.53 % (3118066)------------------------------
% 34.36/6.53 % (3118066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118066)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118066)Termination reason: Instruction limit
% 34.36/6.53 % (3118066)Termination phase: Saturation
% 34.36/6.53 % (3118066)Time elapsed: 0.088 s
% 34.36/6.53 % (3118066)Peak memory usage: 90 MB
% 34.36/6.53 % (3118066)Instructions burned: 151 (million)
% 34.36/6.53 % (3118068)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3452104676:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 34.36/6.53 % (3118045)Instruction limit reached!
% 34.36/6.53 % (3118045)------------------------------
% 34.36/6.53 % (3118045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118045)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118045)Termination reason: Instruction limit
% 34.36/6.53 % (3118045)Termination phase: Saturation
% 34.36/6.53 % (3118045)Time elapsed: 3.184 s
% 34.36/6.53 % (3118045)Peak memory usage: 164 MB
% 34.36/6.53 % (3118045)Instructions burned: 5203 (million)
% 34.36/6.53 % (3118070)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2741266654:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 34.36/6.53 % (3118070)Refutation not found, incomplete strategy
% 34.36/6.53 % (3118070)------------------------------
% 34.36/6.53 % (3118070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118070)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118070)Termination reason: Refutation not found, incomplete strategy
% 34.36/6.53 % (3118070)Time elapsed: 0.001 s
% 34.36/6.53 % (3118070)Peak memory usage: 87 MB
% 34.36/6.53 % (3118070)------------------------------
% 34.36/6.53 % (3118070)------------------------------
% 34.36/6.53 % (3118072)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2042158740:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 34.36/6.53 % (3118072)Instruction limit reached!
% 34.36/6.53 % (3118072)------------------------------
% 34.36/6.53 % (3118072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118072)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118072)Termination reason: Instruction limit
% 34.36/6.53 % (3118072)Termination phase: Saturation
% 34.36/6.53 % (3118072)Time elapsed: 0.102 s
% 34.36/6.53 % (3118072)Peak memory usage: 89 MB
% 34.36/6.53 % (3118072)Instructions burned: 185 (million)
% 34.36/6.53 % (3118074)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1891651526:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 34.36/6.53 % (3118074)Refutation not found, incomplete strategy
% 34.36/6.53 % (3118074)------------------------------
% 34.36/6.53 % (3118074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/6.53 % (3118074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/6.53 % (3118074)CaDiCaL version: 2.1.3
% 34.36/6.53 % (3118074)Termination reason: Refutation not found, incomplete strategy
% 34.36/6.53 % (3118074)Time elapsed: 0.001 s
% 34.36/6.53 % (3118074)Peak memory usage: 88 MB
% 34.36/6.53 % (3118074)------------------------------
% 34.36/6.53 % (3118074)------------------------------
% 34.36/6.53 % (3118076)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1585965448:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 34.36/6.53 % (3118011)First to succeed.
% 34.36/6.53 % (3118011)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3118006"
% 34.36/6.53 % (3118011)Refutation found. Thanks to Tanya!
% 34.36/6.53 % SZS status Theorem for theBenchmark
% 34.36/6.53 % SZS output start Proof for theBenchmark
% See solution above
% 40.85/6.72 % (3118011)------------------------------
% 40.85/6.72 % (3118011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.85/6.72 % (3118011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.85/6.72 % (3118011)CaDiCaL version: 2.1.3
% 40.85/6.72 % (3118011)Termination reason: Refutation
% 40.85/6.72 % (3118011)Time elapsed: 5.281 s
% 40.85/6.72 % (3118011)Peak memory usage: 195 MB
% 40.85/6.72 % (3118011)Instructions burned: 8632 (million)
% 40.85/6.72 % (3118011)------------------------------
% 40.85/6.72 % (3118011)------------------------------
% 40.85/6.72 % (3118006)Success in time 5.691 s
% 40.85/6.72 % Vampire exiting
%------------------------------------------------------------------------------