%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL372+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:52:08 AM UTC 2026
% Result : Theorem 8.36s 2.26s
% Output : Refutation 9.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 83 ( 17 unt; 2 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 206 ( 105 ~; 97 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 278 ( 0 sgn 278 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(implies(y,u),x),z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(implies(y,u),x),z))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(implies(y,u),x),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(implies(x,y),y),z),implies(implies(implies(y,u),x),z))),
inference(cnf_transformation,[],[f5]) ).
fof(f11,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(f12,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f11,f9]) ).
fof(f13,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,[],[f12,f11]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f13,f11]) ).
fof(f16,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,[],[f13,f8]) ).
fof(f17,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,[],[f15,f11]) ).
fof(f19,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,[],[f17,f8]) ).
fof(f21,definition,
( spl0_1
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl0_2
<=> ! [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,[spl0_2])],[avatar_definition]) ).
fof(f25,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))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f28,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) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f8]) ).
fof(f31,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))
| ~ spl0_2 ),
inference(resolution,[],[f28,f12]) ).
fof(f35,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f31]) ).
fof(f39,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(n(X1),X2)))),
inference(resolution,[],[f16,f17]) ).
fof(f43,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f35,f28]) ).
fof(f49,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f43,f8]) ).
fof(f50,plain,
( ~ is_a_theorem(implies(implies(implies(y,u),x),implies(implies(x,y),y)))
| ~ spl0_2 ),
inference(resolution,[],[f49,f10]) ).
fof(f54,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f49,f8]) ).
fof(f60,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f54,f43]) ).
fof(f62,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f54,f12]) ).
fof(f73,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f62,f16]) ).
fof(f81,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f73,f43]) ).
fof(f87,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f73,f60]) ).
fof(f92,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f81,f54]) ).
fof(f93,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f81,f8]) ).
fof(f107,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))
| ~ spl0_2 ),
inference(resolution,[],[f87,f31]) ).
fof(f127,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f107,f8]) ).
fof(f136,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f127,f49]) ).
fof(f147,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f136,f127]) ).
fof(f186,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f93,f31]) ).
fof(f219,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f186,f127]) ).
fof(f239,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f219,f127]) ).
fof(f241,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(n(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f219,f54]) ).
fof(f246,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f239,f93]) ).
fof(f248,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,implies(n(X2),X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f239,f54]) ).
fof(f249,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(n(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f239,f8]) ).
fof(f258,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f246,f92]) ).
fof(f260,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f246,f8]) ).
fof(f262,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(n(X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f258,f28]) ).
fof(f273,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f249,f258]) ).
fof(f285,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f273,f87]) ).
fof(f290,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f273,f54]) ).
fof(f305,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X4,X4),implies(implies(X0,X2),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f290,f147]) ).
fof(f543,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(implies(X0,X2),X3)) )
| ~ spl0_2 ),
inference(resolution,[],[f305,f49]) ).
fof(f550,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f305,f246]) ).
fof(f667,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X4,X0),implies(implies(implies(X4,X1),X2),X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3)) )
| ~ spl0_2 ),
inference(resolution,[],[f543,f127]) ).
fof(f734,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(implies(X4,X0),implies(X2,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f667,f92]) ).
fof(f807,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f260,f127]) ).
fof(f837,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f807,f241]) ).
fof(f843,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f837,f285]) ).
fof(f887,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f843,f54]) ).
fof(f904,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X0,X1),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f887,f147]) ).
fof(f1003,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X2,implies(X3,X0))) )
| ~ spl0_2 ),
inference(resolution,[],[f904,f60]) ).
fof(f1113,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f1003,f887]) ).
fof(f1152,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(n(X0),X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f1113,f248]) ).
fof(f1219,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X0),X2))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f1152,f49]) ).
fof(f1542,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X2,X3),X3))))
| ~ spl0_2 ),
inference(resolution,[],[f734,f550]) ).
fof(f1593,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f1542,f87]) ).
fof(f1635,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f1593,f127]) ).
fof(f1689,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1635,f8]) ).
fof(f1742,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f1689,f262]) ).
fof(f1745,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f1742,f1219]) ).
fof(f1768,plain,
( $false
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f305,f50,f1745]) ).
fof(f1790,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1768]) ).
fof(f1791,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f39,f22]) ).
fof(f1792,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1791]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f1790]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f1792]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
fof(f1793,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL372+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n017.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 15:32:20 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.36/2.25 % (2744859)Detected formulas, will run a generic FOF schedule.
% 8.36/2.25 % (2744881)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=2672421837:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.36/2.25 % (2744880)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=1334896534:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.36/2.25 % (2744884)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2230652855:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.36/2.25 % (2744884)Refutation not found, incomplete strategy
% 8.36/2.25 % (2744884)------------------------------
% 8.36/2.25 % (2744884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.25 % (2744884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.25 % (2744884)CaDiCaL version: 2.1.3
% 8.36/2.25 % (2744884)Termination reason: Refutation not found, incomplete strategy
% 8.36/2.25 % (2744884)Time elapsed: 0.001 s
% 8.36/2.25 % (2744884)Peak memory usage: 87 MB
% 8.36/2.25 % (2744883)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=237579085:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.36/2.25 % (2744883)Refutation not found, incomplete strategy
% 8.36/2.25 % (2744883)------------------------------
% 8.36/2.25 % (2744883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.25 % (2744883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.25 % (2744883)CaDiCaL version: 2.1.3
% 8.36/2.25 % (2744883)Termination reason: Refutation not found, incomplete strategy
% 8.36/2.25 % (2744883)Time elapsed: 0.001 s
% 8.36/2.25 % (2744883)Peak memory usage: 87 MB
% 8.36/2.25 % (2744882)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=1174299489:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.36/2.25 % (2744885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=948497924:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.36/2.25 % (2744886)dis-21_1_sil=8000:lcm=predicate:random_seed=553863050: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)
% 8.36/2.25 % (2744885)Instruction limit reached!
% 8.36/2.25 % (2744885)------------------------------
% 8.36/2.25 % (2744885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.25 % (2744885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.25 % (2744885)CaDiCaL version: 2.1.3
% 8.36/2.25 % (2744885)Termination reason: Instruction limit
% 8.36/2.25 % (2744885)Termination phase: Saturation
% 8.36/2.25 % (2744885)Time elapsed: 0.133 s
% 8.36/2.25 % (2744885)Peak memory usage: 89 MB
% 8.36/2.25 % (2744885)Instructions burned: 139 (million)
% 8.36/2.25 % (2744886)Instruction limit reached!
% 8.36/2.25 % (2744886)------------------------------
% 8.36/2.25 % (2744886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.25 % (2744886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.25 % (2744886)CaDiCaL version: 2.1.3
% 8.36/2.25 % (2744886)Termination reason: Instruction limit
% 8.36/2.25 % (2744886)Termination phase: Saturation
% 8.36/2.25 % (2744886)Time elapsed: 0.134 s
% 8.36/2.25 % (2744886)Peak memory usage: 89 MB
% 8.36/2.25 % (2744886)Instructions burned: 129 (million)
% 8.36/2.25 % (2744884)------------------------------
% 8.36/2.25 % (2744884)------------------------------
% 8.36/2.25 % (2744900)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2834589483:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.36/2.25 % (2744883)------------------------------
% 8.36/2.25 % (2744883)------------------------------
% 8.36/2.25 % (2744899)lrs+10_1_sil=8000:sp=occurrence:random_seed=1423597974:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.36/2.25 % (2744900)Instruction limit reached!
% 8.36/2.25 % (2744900)------------------------------
% 8.36/2.25 % (2744900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.25 % (2744900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.25 % (2744900)CaDiCaL version: 2.1.3
% 8.36/2.25 % (2744900)Termination reason: Instruction limit
% 8.36/2.25 % (2744900)Termination phase: Saturation
% 8.36/2.25 % (2744900)Time elapsed: 0.141 s
% 8.36/2.25 % (2744900)Peak memory usage: 88 MB
% 8.36/2.25 % (2744900)Instructions burned: 157 (million)
% 8.36/2.25 % (2744905)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2798846275:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 8.36/2.25 % (2744906)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=1750101849:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 8.36/2.25 % (2744899)Instruction limit reached!
% 8.36/2.25 % (2744899)------------------------------
% 8.36/2.25 % (2744899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.25 % (2744899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.25 % (2744899)CaDiCaL version: 2.1.3
% 8.36/2.25 % (2744899)Termination reason: Instruction limit
% 8.36/2.25 % (2744899)Termination phase: Saturation
% 8.36/2.25 % (2744899)Time elapsed: 0.262 s
% 8.36/2.25 % (2744899)Peak memory usage: 91 MB
% 8.36/2.26 % (2744899)Instructions burned: 285 (million)
% 8.36/2.26 % (2744908)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2244951304:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 8.36/2.26 % (2744908)Refutation not found, incomplete strategy
% 8.36/2.26 % (2744908)------------------------------
% 8.36/2.26 % (2744908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.26 % (2744908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.26 % (2744908)CaDiCaL version: 2.1.3
% 8.36/2.26 % (2744908)Termination reason: Refutation not found, incomplete strategy
% 8.36/2.26 % (2744908)Time elapsed: 0.002 s
% 8.36/2.26 % (2744908)Peak memory usage: 87 MB
% 8.36/2.26 % (2744881)First to succeed.
% 8.36/2.26 % (2744881)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2744859"
% 8.36/2.26 % (2744906)Instruction limit reached!
% 8.36/2.26 % (2744906)------------------------------
% 8.36/2.26 % (2744906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.26 % (2744906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.26 % (2744906)CaDiCaL version: 2.1.3
% 8.36/2.26 % (2744906)Termination reason: Instruction limit
% 8.36/2.26 % (2744906)Termination phase: Saturation
% 8.36/2.26 % (2744906)Time elapsed: 0.158 s
% 8.36/2.26 % (2744906)Peak memory usage: 88 MB
% 8.36/2.26 % (2744906)Instructions burned: 249 (million)
% 8.36/2.26 % (2744905)Instruction limit reached!
% 8.36/2.26 % (2744905)------------------------------
% 8.36/2.26 % (2744905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.26 % (2744905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.26 % (2744905)CaDiCaL version: 2.1.3
% 8.36/2.26 % (2744905)Termination reason: Instruction limit
% 8.36/2.26 % (2744905)Termination phase: Saturation
% 8.36/2.26 % (2744905)Time elapsed: 0.307 s
% 8.36/2.26 % (2744905)Peak memory usage: 90 MB
% 8.36/2.26 % (2744905)Instructions burned: 325 (million)
% 8.36/2.26 % (2744913)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3927899608:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 8.36/2.26 % (2744915)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1391825118:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 8.36/2.26 % (2744881)Refutation found. Thanks to Tanya!
% 8.36/2.26 % SZS status Theorem for theBenchmark
% 8.36/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 9.13/2.43 % (2744881)------------------------------
% 9.13/2.43 % (2744881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.43 % (2744881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.43 % (2744881)CaDiCaL version: 2.1.3
% 9.13/2.43 % (2744881)Termination reason: Refutation
% 9.13/2.43 % (2744881)Time elapsed: 0.808 s
% 9.13/2.43 % (2744881)Peak memory usage: 134 MB
% 9.13/2.43 % (2744881)Instructions burned: 1524 (million)
% 9.13/2.43 % (2744881)------------------------------
% 9.13/2.43 % (2744881)------------------------------
% 9.13/2.43 % (2744859)Success in time 1.18 s
% 9.13/2.43 % Vampire exiting
%------------------------------------------------------------------------------