%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL020-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:50:56 AM UTC 2026
% Result : Unsatisfiable 7.51s 3.21s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 7
% Syntax : Number of formulae : 105 ( 9 unt; 4 def)
% Number of atoms : 386 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 560 ( 279 ~; 277 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 244 ( 0 sgn 244 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xhk) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xgk) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f5,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X2),X1))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0) ),
inference(resolution,[],[f5,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X0,X3),X2))))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(resolution,[],[f6,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X1),X0)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2)
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f6,f4]) ).
fof(f11,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f7,f4]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X3,X4),equivalent(equivalent(X2,X4),X3))),X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f11,f7]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| is_a_theorem(X0)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f8,f2]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f16,f5]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X3,X4),equivalent(equivalent(X1,X4),X3))) ),
inference(resolution,[],[f15,f16]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X2) ),
inference(forward_subsumption_resolution,[],[f24,f4]) ).
fof(f34,definition,
( spl0_1
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f35,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f48,definition,
( spl0_5
<=> ! [X5,X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(X5)
| ~ is_a_theorem(equivalent(X5,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f49,plain,
( ! [X0,X5] :
( ~ is_a_theorem(equivalent(X5,X0))
| is_a_theorem(X5)
| ~ is_a_theorem(X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f48,f34]) ).
fof(f55,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1)))
| is_a_theorem(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f49,f2]) ).
fof(f56,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl0_5 ),
inference(resolution,[],[f49,f4]) ).
fof(f65,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| ~ is_a_theorem(X2) )
| ~ spl0_5 ),
inference(resolution,[],[f56,f2]) ).
fof(f68,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X2),X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f65,f16]) ).
fof(f78,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f68,f4]) ).
fof(f96,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),X2))
| ~ is_a_theorem(X1) )
| ~ spl0_5 ),
inference(resolution,[],[f78,f56]) ).
fof(f103,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),X2)) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f96]) ).
fof(f106,definition,
( spl0_6
<=> ! [X2,X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X2),X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f107,plain,
( ! [X2,X0] :
( is_a_theorem(equivalent(equivalent(X0,X2),X2))
| ~ is_a_theorem(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( spl0_1
| spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f103,f48,f106,f34]) ).
fof(f113,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f35,f2]) ).
fof(f116,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f119,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f107,f56]) ).
fof(f121,plain,
( ! [X0,X1] :
( is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f107,f49]) ).
fof(f126,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f129,definition,
( spl0_7
<=> ! [X1] : is_a_theorem(equivalent(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f130,plain,
( ! [X1] : is_a_theorem(equivalent(X1,X1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( spl0_7
| spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f126,f106,f48,f34,f129]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X3)
| ~ is_a_theorem(equivalent(X3,X2)) ),
inference(resolution,[],[f21,f2]) ).
fof(f308,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f121,f55]) ).
fof(f362,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| is_a_theorem(X2) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f308,f2]) ).
fof(f370,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X0,X1),X2),X3)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X3,X2)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f362,f5]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X0,X1)),X2))
| is_a_theorem(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f370,f2]) ).
fof(f431,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X1)))
| is_a_theorem(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f419,f107]) ).
fof(f434,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f419,f5]) ).
fof(f446,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X2))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f434,f2]) ).
fof(f466,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f446,f5]) ).
fof(f473,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f466,f130]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X0,X3),X2))))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f466,f2]) ).
fof(f498,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)),X2))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f473,f2]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X2)))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f483,f431]) ).
fof(f532,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1))
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f506,f2]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| ~ is_a_theorem(equivalent(X0,X2)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f506,f483]) ).
fof(f555,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f532,f473]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X2))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f532,f466]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
| is_a_theorem(X1) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f532,f1]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f556,f5]) ).
fof(f593,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,X3),X2))))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f572,f2]) ).
fof(f823,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f498,f560]) ).
fof(f864,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f823,f473]) ).
fof(f890,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f864,f146]) ).
fof(f910,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f890,f532]) ).
fof(f916,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X2),X1),X0)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f890,f498]) ).
fof(f1050,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(X0,X0),X1)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f916,f434]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(X1,X2),X3)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X2))) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1050,f483]) ).
fof(f1172,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X2),X1)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1068,f419]) ).
fof(f1208,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X2,X1)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1172,f2]) ).
fof(f1212,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1172,f555]) ).
fof(f1240,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1208,f419]) ).
fof(f1280,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X1,X0)))
| is_a_theorem(X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1212,f434]) ).
fof(f1304,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X2))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1240,f466]) ).
fof(f1898,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1280,f593]) ).
fof(f1912,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| ~ is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1898,f533]) ).
fof(f2087,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1304,f1912]) ).
fof(f2118,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,X2),X1)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2087,f2]) ).
fof(f2175,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X2)),X1))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2118,f2087]) ).
fof(f2184,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X2,X1))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2118,f473]) ).
fof(f3043,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,equivalent(X0,X2))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2175,f1898]) ).
fof(f3086,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X2)))
| ~ is_a_theorem(X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3043,f7]) ).
fof(f3151,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X2))
| is_a_theorem(equivalent(X1,X2)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3086,f446]) ).
fof(f3214,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3151,f5]) ).
fof(f3288,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3214,f1212]) ).
fof(f3300,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X3))))
| is_a_theorem(equivalent(equivalent(X3,X2),X0)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3214,f1208]) ).
fof(f3686,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),equivalent(X2,X2))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3288,f910]) ).
fof(f4080,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3300,f2184]) ).
fof(f4109,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X2),equivalent(X1,X0)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f3300,f3686]) ).
fof(f4148,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X1,X2))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f4080,f3151]) ).
fof(f4195,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,equivalent(X2,X0))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f4148,f1172]) ).
fof(f4257,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X0,X1))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f4195,f473]) ).
fof(f4286,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f4257,f3300]) ).
fof(f5900,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X0),X2))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f4109,f56]) ).
fof(f6013,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f5900,f4286]) ).
fof(f7605,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1))))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f6013,f3151]) ).
fof(f7692,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f7605,f3]) ).
fof(f7693,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f7692]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f108]) ).
cnf(s6,plain,
~ spl0_1,
inference(sat_conversion,[],[f116]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f131]) ).
cnf(s12,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f7693]) ).
cnf(s14,plain,
( ~ spl0_5
| spl0_6 ),
inference(rat,[],[s5,s6]) ).
cnf(s15,plain,
spl0_5,
inference(rat,[],[s4,s6]) ).
cnf(s16,plain,
spl0_6,
inference(rat,[],[s14,s15]) ).
cnf(s17,plain,
~ spl0_7,
inference(rat,[],[s12,s15,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s7,s15,s6,s17,s16]) ).
fof(f7694,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n006.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 15:17:11 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.43 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
% 11.02/2.40 % (3083375)Input is clausal, will run a generic CNF schedule.
% 11.02/2.40 % (3083382)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4215397139:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.02/2.40 % (3083381)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=378741221:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.02/2.40 % (3083380)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=104307888:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.02/2.40 % (3083384)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=861581645:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.02/2.40 % (3083383)lrs+10_1_sil=8000:sp=occurrence:random_seed=2179486623:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.02/2.40 % (3083386)dis-21_1_sil=8000:lcm=predicate:random_seed=2260512333:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.02/2.40 % (3083385)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=827254037:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.02/2.40 % (3083383)Instruction limit reached!
% 11.02/2.40 % (3083383)------------------------------
% 11.02/2.40 % (3083383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.40 % (3083383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.40 % (3083383)CaDiCaL version: 2.1.3
% 11.02/2.40 % (3083383)Termination reason: Instruction limit
% 11.02/2.40 % (3083383)Termination phase: Saturation
% 11.02/2.40 % (3083383)Time elapsed: 0.065 s
% 11.02/2.40 % (3083383)Peak memory usage: 88 MB
% 11.02/2.40 % (3083383)Instructions burned: 108 (million)
% 11.02/2.40 % (3083384)Instruction limit reached!
% 11.02/2.40 % (3083384)------------------------------
% 11.02/2.40 % (3083384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.40 % (3083384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.40 % (3083384)CaDiCaL version: 2.1.3
% 11.02/2.40 % (3083384)Termination reason: Instruction limit
% 11.02/2.40 % (3083384)Termination phase: Saturation
% 11.02/2.40 % (3083384)Time elapsed: 0.072 s
% 11.02/2.40 % (3083384)Peak memory usage: 88 MB
% 11.02/2.40 % (3083384)Instructions burned: 114 (million)
% 11.02/2.40 % (3083386)Instruction limit reached!
% 11.02/2.40 % (3083386)------------------------------
% 11.02/2.40 % (3083386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.40 % (3083386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.40 % (3083386)CaDiCaL version: 2.1.3
% 11.02/2.40 % (3083386)Termination reason: Instruction limit
% 11.02/2.40 % (3083386)Termination phase: Saturation
% 11.02/2.40 % (3083386)Time elapsed: 0.073 s
% 11.02/2.40 % (3083386)Peak memory usage: 88 MB
% 11.02/2.40 % (3083386)Instructions burned: 118 (million)
% 11.02/2.40 % (3083385)Instruction limit reached!
% 11.02/2.40 % (3083385)------------------------------
% 11.02/2.40 % (3083385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.40 % (3083385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.40 % (3083385)CaDiCaL version: 2.1.3
% 11.02/2.40 % (3083385)Termination reason: Instruction limit
% 11.02/2.40 % (3083385)Termination phase: Saturation
% 11.02/2.40 % (3083385)Time elapsed: 0.117 s
% 11.02/2.40 % (3083385)Peak memory usage: 89 MB
% 11.02/2.40 % (3083385)Instructions burned: 181 (million)
% 11.02/2.40 % (3083394)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2009395178:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.02/2.40 % (3083394)Refutation not found, incomplete strategy
% 11.02/2.40 % (3083394)------------------------------
% 11.02/2.40 % (3083394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.40 % (3083394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.40 % (3083394)CaDiCaL version: 2.1.3
% 11.02/2.40 % (3083394)Termination reason: Refutation not found, incomplete strategy
% 11.02/2.40 % (3083394)Time elapsed: 0.001 s
% 11.02/2.40 % (3083394)Peak memory usage: 87 MB
% 11.02/2.40 % (3083396)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1543152689:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.51/3.21 % (3083395)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1005279828:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.51/3.21 % (3083396)Refutation not found, incomplete strategy
% 7.51/3.21 % (3083396)------------------------------
% 7.51/3.21 % (3083396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083396)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083396)Termination reason: Refutation not found, incomplete strategy
% 7.51/3.21 % (3083396)Time elapsed: 0.001 s
% 7.51/3.21 % (3083396)Peak memory usage: 87 MB
% 7.51/3.21 % (3083397)lrs+10_64_to=lpo:sil=8000:random_seed=3285300478:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.51/3.21 % (3083395)Instruction limit reached!
% 7.51/3.21 % (3083395)------------------------------
% 7.51/3.21 % (3083395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083395)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083395)Termination reason: Instruction limit
% 7.51/3.21 % (3083395)Termination phase: Saturation
% 7.51/3.21 % (3083395)Time elapsed: 0.104 s
% 7.51/3.21 % (3083395)Peak memory usage: 87 MB
% 7.51/3.21 % (3083395)Instructions burned: 189 (million)
% 7.51/3.21 % (3083397)Instruction limit reached!
% 7.51/3.21 % (3083397)------------------------------
% 7.51/3.21 % (3083397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083397)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083397)Termination reason: Instruction limit
% 7.51/3.21 % (3083397)Termination phase: Saturation
% 7.51/3.21 % (3083397)Time elapsed: 0.078 s
% 7.51/3.21 % (3083397)Peak memory usage: 88 MB
% 7.51/3.21 % (3083397)Instructions burned: 126 (million)
% 7.51/3.21 % (3083402)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2172056480:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.51/3.21 % (3083394)------------------------------
% 7.51/3.21 % (3083394)------------------------------
% 7.51/3.21 % (3083396)------------------------------
% 7.51/3.21 % (3083396)------------------------------
% 7.51/3.21 % (3083403)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1110962623:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.51/3.21 % (3083403)Instruction limit reached!
% 7.51/3.21 % (3083403)------------------------------
% 7.51/3.21 % (3083403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083403)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083403)Termination reason: Instruction limit
% 7.51/3.21 % (3083403)Termination phase: Saturation
% 7.51/3.21 % (3083403)Time elapsed: 0.059 s
% 7.51/3.21 % (3083403)Peak memory usage: 90 MB
% 7.51/3.21 % (3083403)Instructions burned: 158 (million)
% 7.51/3.21 % (3083406)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4168346802:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.51/3.21 % (3083402)Instruction limit reached!
% 7.51/3.21 % (3083402)------------------------------
% 7.51/3.21 % (3083402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083402)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083402)Termination reason: Instruction limit
% 7.51/3.21 % (3083402)Termination phase: Saturation
% 7.51/3.21 % (3083402)Time elapsed: 0.132 s
% 7.51/3.21 % (3083402)Peak memory usage: 89 MB
% 7.51/3.21 % (3083402)Instructions burned: 195 (million)
% 7.51/3.21 % (3083407)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2833681987:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.51/3.21 % (3083408)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=95166032:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.51/3.21 % (3083408)Refutation not found, incomplete strategy
% 7.51/3.21 % (3083408)------------------------------
% 7.51/3.21 % (3083408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083408)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083408)Termination reason: Refutation not found, incomplete strategy
% 7.51/3.21 % (3083408)Time elapsed: 0.001 s
% 7.51/3.21 % (3083408)Peak memory usage: 87 MB
% 7.51/3.21 % (3083407)Instruction limit reached!
% 7.51/3.21 % (3083407)------------------------------
% 7.51/3.21 % (3083407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083407)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083407)Termination reason: Instruction limit
% 7.51/3.21 % (3083407)Termination phase: Saturation
% 7.51/3.21 % (3083407)Time elapsed: 0.050 s
% 7.51/3.21 % (3083407)Peak memory usage: 88 MB
% 7.51/3.21 % (3083407)Instructions burned: 107 (million)
% 7.51/3.21 % (3083410)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3853109834:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.51/3.21 % (3083413)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=122634260:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.51/3.21 % (3083410)Instruction limit reached!
% 7.51/3.21 % (3083410)------------------------------
% 7.51/3.21 % (3083410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083410)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083410)Termination reason: Instruction limit
% 7.51/3.21 % (3083410)Termination phase: Saturation
% 7.51/3.21 % (3083410)Time elapsed: 0.113 s
% 7.51/3.21 % (3083410)Peak memory usage: 89 MB
% 7.51/3.21 % (3083410)Instructions burned: 243 (million)
% 7.51/3.21 % (3083408)------------------------------
% 7.51/3.21 % (3083408)------------------------------
% 7.51/3.21 % (3083416)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1509449831:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.51/3.21 % (3083417)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3919662077:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 7.51/3.21 % (3083416)Instruction limit reached!
% 7.51/3.21 % (3083416)------------------------------
% 7.51/3.21 % (3083416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083416)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083416)Termination reason: Instruction limit
% 7.51/3.21 % (3083416)Termination phase: Saturation
% 7.51/3.21 % (3083416)Time elapsed: 0.092 s
% 7.51/3.21 % (3083416)Peak memory usage: 89 MB
% 7.51/3.21 % (3083416)Instructions burned: 135 (million)
% 7.51/3.21 % (3083420)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2734850757:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 7.51/3.21 % (3083420)Instruction limit reached!
% 7.51/3.21 % (3083420)------------------------------
% 7.51/3.21 % (3083420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083420)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083420)Termination reason: Instruction limit
% 7.51/3.21 % (3083420)Termination phase: Saturation
% 7.51/3.21 % (3083420)Time elapsed: 0.117 s
% 7.51/3.21 % (3083420)Peak memory usage: 89 MB
% 7.51/3.21 % (3083420)Instructions burned: 192 (million)
% 7.51/3.21 % (3083417)Instruction limit reached!
% 7.51/3.21 % (3083417)------------------------------
% 7.51/3.21 % (3083417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083417)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083417)Termination reason: Instruction limit
% 7.51/3.21 % (3083417)Termination phase: Saturation
% 7.51/3.21 % (3083417)Time elapsed: 0.282 s
% 7.51/3.21 % (3083417)Peak memory usage: 91 MB
% 7.51/3.21 % (3083417)Instructions burned: 499 (million)
% 7.51/3.21 % (3083423)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2682071760:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 7.51/3.21 % (3083422)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2524741066:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 7.51/3.21 % (3083423)Instruction limit reached!
% 7.51/3.21 % (3083423)------------------------------
% 7.51/3.21 % (3083423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083423)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083423)Termination reason: Instruction limit
% 7.51/3.21 % (3083423)Termination phase: Saturation
% 7.51/3.21 % (3083423)Time elapsed: 0.100 s
% 7.51/3.21 % (3083423)Peak memory usage: 89 MB
% 7.51/3.21 % (3083423)Instructions burned: 156 (million)
% 7.51/3.21 % (3083422)Instruction limit reached!
% 7.51/3.21 % (3083422)------------------------------
% 7.51/3.21 % (3083422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083422)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083422)Termination reason: Instruction limit
% 7.51/3.21 % (3083422)Termination phase: Saturation
% 7.51/3.21 % (3083422)Time elapsed: 0.163 s
% 7.51/3.21 % (3083422)Peak memory usage: 90 MB
% 7.51/3.21 % (3083422)Instructions burned: 265 (million)
% 7.51/3.21 % (3083426)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3103742086:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 7.51/3.21 % (3083427)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2767947908:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 7.51/3.21 % (3083406)First to succeed.
% 7.51/3.21 % (3083406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3083375"
% 7.51/3.21 % (3083427)Instruction limit reached!
% 7.51/3.21 % (3083427)------------------------------
% 7.51/3.21 % (3083427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/3.21 % (3083427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/3.21 % (3083427)CaDiCaL version: 2.1.3
% 7.51/3.21 % (3083427)Termination reason: Instruction limit
% 7.51/3.21 % (3083427)Termination phase: Saturation
% 7.51/3.21 % (3083427)Time elapsed: 0.311 s
% 7.51/3.21 % (3083427)Peak memory usage: 93 MB
% 7.51/3.21 % (3083427)Instructions burned: 537 (million)
% 7.51/3.21 % (3083430)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=540139698:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 7.51/3.21 % (3083406)Refutation found. Thanks to Tanya!
% 7.51/3.21 % SZS status Unsatisfiable for theBenchmark
% 7.51/3.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/3.40 % (3083406)------------------------------
% 0.18/3.40 % (3083406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.40 % (3083406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.40 % (3083406)CaDiCaL version: 2.1.3
% 0.18/3.40 % (3083406)Termination reason: Refutation
% 0.18/3.40 % (3083406)Time elapsed: 1.367 s
% 0.18/3.40 % (3083406)Peak memory usage: 139 MB
% 0.18/3.40 % (3083406)Instructions burned: 2139 (million)
% 0.18/3.40 % (3083406)------------------------------
% 0.18/3.40 % (3083406)------------------------------
% 0.18/3.40 % (3083375)Success in time 2.339 s
% 0.18/3.40 % Vampire exiting
%------------------------------------------------------------------------------