%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:56:54 AM UTC 2026
% Result : Unsatisfiable 2.55s 1.26s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 80 ( 18 unt; 7 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 158 ( 76 ~; 75 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 8 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 23 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 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,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
fof(f4,axiom,
! [X0] : is_a_theorem(implies(X0,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)),implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22))),v22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_rezus) ).
fof(f10,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f11,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f12,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f10,f1]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f11,f1]) ).
fof(f25,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f14,f4]) ).
fof(f28,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(X1,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f14,f3]) ).
fof(f30,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f14,f10]) ).
fof(f33,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X1,X2)),X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f25,f14]) ).
fof(f35,definition,
( spl0_1
<=> is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f36,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22))
| spl0_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,definition,
( spl0_2
<=> is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f39,plain,
( ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))
| spl0_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f43,plain,
( ! [X0] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),X0))
| ~ is_a_theorem(implies(X0,v22)) )
| spl0_1 ),
inference(resolution,[],[f36,f12]) ).
fof(f63,definition,
( spl0_3
<=> is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15))
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f70,plain,
( ~ is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),v22),v22))
| spl0_1 ),
inference(resolution,[],[f28,f43]) ).
fof(f75,definition,
( spl0_5
<=> is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),v22),v22)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f76,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),v22),v22))
| spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,definition,
( spl0_6
<=> is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f79,plain,
( ~ is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)))
| spl0_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f70,f35,f78,f75]) ).
fof(f92,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15))
| spl0_5 ),
inference(resolution,[],[f76,f25]) ).
fof(f94,plain,
( ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22)) ),
inference(resolution,[],[f30,f6]) ).
fof(f98,plain,
( ~ is_a_theorem(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15),v15))
| spl0_3 ),
inference(resolution,[],[f30,f64]) ).
fof(f105,definition,
( spl0_8
<=> is_a_theorem(implies(implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15),v15)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f106,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15),v15))
| spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,definition,
( spl0_9
<=> is_a_theorem(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8)))) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f109,plain,
( ~ is_a_theorem(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))))
| spl0_9 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f98,f63,f108,f105]) ).
fof(f111,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))
| spl0_8 ),
inference(resolution,[],[f106,f25]) ).
fof(f127,plain,
( ~ is_a_theorem(implies(implies(v9,implies(v9,v10)),implies(v9,v10)))
| ~ is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))
| spl0_8 ),
inference(resolution,[],[f111,f30]) ).
fof(f129,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14),v14))
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f127,f5]) ).
fof(f143,plain,
( ~ is_a_theorem(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))))
| spl0_8 ),
inference(resolution,[],[f129,f25]) ).
fof(f150,plain,
( ~ is_a_theorem(implies(implies(v12,v13),implies(implies(v11,v12),implies(v11,v13))))
| spl0_8 ),
inference(resolution,[],[f143,f11]) ).
fof(f152,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f150,f2]) ).
fof(f153,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f164,plain,
( ~ is_a_theorem(implies(implies(v7,v8),implies(implies(v6,v7),implies(v6,v8))))
| spl0_9 ),
inference(resolution,[],[f109,f11]) ).
fof(f166,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f164,f2]) ).
fof(f167,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f175,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f92,f75,f63]) ).
fof(f186,plain,
( ~ is_a_theorem(implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),implies(v16,v21)))
| spl0_6 ),
inference(resolution,[],[f79,f11]) ).
fof(f202,plain,
( ~ is_a_theorem(implies(v17,v17))
| ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))
| spl0_6 ),
inference(resolution,[],[f186,f30]) ).
fof(f205,plain,
( ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f202,f4]) ).
fof(f208,plain,
( ~ is_a_theorem(implies(v18,v18))
| ~ is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))
| spl0_6 ),
inference(resolution,[],[f205,f30]) ).
fof(f211,plain,
( ~ is_a_theorem(implies(implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f208,f4]) ).
fof(f217,plain,
( ~ is_a_theorem(implies(v19,v19))
| ~ is_a_theorem(implies(implies(implies(v20,v20),implies(v16,v21)),implies(v16,v21)))
| spl0_6 ),
inference(resolution,[],[f211,f30]) ).
fof(f220,plain,
( ~ is_a_theorem(implies(implies(implies(v20,v20),implies(v16,v21)),implies(v16,v21)))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f217,f4]) ).
fof(f234,plain,
( ~ is_a_theorem(implies(v20,v20))
| ~ is_a_theorem(implies(implies(v16,v21),implies(v16,v21)))
| spl0_6 ),
inference(resolution,[],[f220,f30]) ).
fof(f237,plain,
( ~ is_a_theorem(implies(implies(v16,v21),implies(v16,v21)))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f234,f4]) ).
fof(f240,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f237,f4]) ).
fof(f241,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f250,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f94,f38,f35]) ).
fof(f255,plain,
( ~ is_a_theorem(implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),implies(x,w)))
| spl0_2 ),
inference(resolution,[],[f39,f11]) ).
fof(f257,plain,
( ~ is_a_theorem(implies(y,y))
| ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))
| spl0_2 ),
inference(resolution,[],[f255,f30]) ).
fof(f260,plain,
( ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f257,f4]) ).
fof(f277,plain,
( ~ is_a_theorem(implies(z,z))
| ~ is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w)))
| spl0_2 ),
inference(resolution,[],[f260,f30]) ).
fof(f280,plain,
( ~ is_a_theorem(implies(implies(implies(u,u),implies(implies(v,v),implies(x,w))),implies(x,w)))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f277,f4]) ).
fof(f295,plain,
( ~ is_a_theorem(implies(v,v))
| ~ is_a_theorem(implies(u,u))
| spl0_2 ),
inference(resolution,[],[f280,f33]) ).
fof(f300,plain,
( ~ is_a_theorem(implies(u,u))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f295,f4]) ).
fof(f301,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f300,f4]) ).
fof(f302,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f301]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f80]) ).
cnf(s5,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f110]) ).
cnf(s6,plain,
spl0_8,
inference(sat_conversion,[],[f153]) ).
cnf(s8,plain,
spl0_9,
inference(sat_conversion,[],[f167]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f175]) ).
cnf(s18,plain,
spl0_6,
inference(sat_conversion,[],[f241]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f250]) ).
cnf(s25,plain,
spl0_2,
inference(sat_conversion,[],[f302]) ).
cnf(s26,plain,
~ spl0_1,
inference(rat,[],[s21,s25]) ).
cnf(s32,plain,
spl0_3,
inference(rat,[],[s5,s8,s6]) ).
cnf(s39,plain,
spl0_5,
inference(rat,[],[s10,s32]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s3,s18,s39,s26]) ).
fof(f303,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 17:01:10 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.55/1.26 % (1652684)Input is clausal, will run a generic CNF schedule.
% 2.55/1.26 % (1652690)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2107237111:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.26 % (1652691)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2322659888:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.26 % (1652689)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=3204467324:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.26 % (1652695)dis-21_1_sil=8000:lcm=predicate:random_seed=3323533792: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)
% 2.55/1.26 % (1652693)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3176136012:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.26 % (1652692)lrs+10_1_sil=8000:sp=occurrence:random_seed=2689091993:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.26 % (1652693)First to succeed.
% 2.55/1.26 % (1652693)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1652684"
% 2.55/1.26 % (1652694)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3116911880:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.26 % (1652695)Instruction limit reached!
% 2.55/1.26 % (1652695)------------------------------
% 2.55/1.26 % (1652695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.26 % (1652695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.26 % (1652695)CaDiCaL version: 2.1.3
% 2.55/1.26 % (1652695)Termination reason: Instruction limit
% 2.55/1.26 % (1652695)Termination phase: Saturation
% 2.55/1.26 % (1652695)Time elapsed: 0.069 s
% 2.55/1.26 % (1652695)Peak memory usage: 88 MB
% 2.55/1.26 % (1652695)Instructions burned: 118 (million)
% 2.55/1.26 % (1652692)Instruction limit reached!
% 2.55/1.26 % (1652692)------------------------------
% 2.55/1.26 % (1652692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.26 % (1652692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.26 % (1652692)CaDiCaL version: 2.1.3
% 2.55/1.26 % (1652692)Termination reason: Instruction limit
% 2.55/1.26 % (1652692)Termination phase: Saturation
% 2.55/1.26 % (1652692)Time elapsed: 0.069 s
% 2.55/1.26 % (1652692)Peak memory usage: 89 MB
% 2.55/1.26 % (1652692)Instructions burned: 107 (million)
% 2.55/1.26 % (1652694)Instruction limit reached!
% 2.55/1.26 % (1652694)------------------------------
% 2.55/1.26 % (1652694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.26 % (1652694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.26 % (1652694)CaDiCaL version: 2.1.3
% 2.55/1.26 % (1652694)Termination reason: Instruction limit
% 2.55/1.26 % (1652694)Termination phase: Saturation
% 2.55/1.26 % (1652694)Time elapsed: 0.109 s
% 2.55/1.26 % (1652694)Peak memory usage: 88 MB
% 2.55/1.26 % (1652694)Instructions burned: 181 (million)
% 2.55/1.26 % (1652704)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=417116596: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)
% 2.55/1.26 % (1652703)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=553656247:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.55/1.26 % (1652703)Refutation not found, incomplete strategy
% 2.55/1.26 % (1652703)------------------------------
% 2.55/1.26 % (1652703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.26 % (1652703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.26 % (1652703)CaDiCaL version: 2.1.3
% 2.55/1.26 % (1652703)Termination reason: Refutation not found, incomplete strategy
% 2.55/1.26 % (1652703)Time elapsed: 0.001 s
% 2.55/1.26 % (1652703)Peak memory usage: 87 MB
% 2.55/1.26 % (1652693)Refutation found. Thanks to Tanya!
% 2.55/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.45 % (1652693)------------------------------
% 3.43/1.45 % (1652693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.45 % (1652693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.45 % (1652693)CaDiCaL version: 2.1.3
% 3.43/1.45 % (1652693)Termination reason: Refutation
% 3.43/1.45 % (1652693)Time elapsed: 0.010 s
% 3.43/1.45 % (1652693)Peak memory usage: 89 MB
% 3.43/1.45 % (1652693)Instructions burned: 13 (million)
% 3.43/1.45 % (1652693)------------------------------
% 3.43/1.45 % (1652693)------------------------------
% 3.43/1.45 % (1652684)Success in time 0.401 s
% 3.43/1.45 % Vampire exiting
%------------------------------------------------------------------------------