%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL310-3 : TPTP v9.3.1. Released v2.3.0.
% 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 11:51:56 AM UTC 2026
% Result : Unsatisfiable 18.13s 3.46s
% Output : Refutation 18.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 101 ( 39 unt; 5 def)
% Number of atoms : 182 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 158 ( 77 ~; 76 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 137 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(or(implies(q,p),implies(r,p)),implies(and(q,r),p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
~ theorem(not(or(not(or(not(or(or(not(q),p),or(not(r),p))),or(not(not(or(not(q),not(r)))),p))),not(or(not(or(not(not(or(not(q),not(r)))),p)),or(or(not(q),p),or(not(r),p))))))),
inference(definition_unfolding,[],[f11,f12,f6,f6,f6,f9]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f16,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f18,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f19,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f20,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f15,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f19,f22]) ).
fof(f25,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f19,f21]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f19,f20]) ).
fof(f28,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f26,f22]) ).
fof(f29,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f26,f21]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f25,f19]) ).
fof(f34,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f18,f7]) ).
fof(f37,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f29,f19]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f32,f22]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f32,f25]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f32,f29]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f32,f20]) ).
fof(f47,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f32,f23]) ).
fof(f48,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f32,f34]) ).
fof(f55,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f41,f23]) ).
fof(f57,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f55,f32]) ).
fof(f60,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f55,f26]) ).
fof(f75,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f48,f55]) ).
fof(f82,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f75,f24]) ).
fof(f83,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f82,f32]) ).
fof(f87,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f28,f19]) ).
fof(f91,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f42,f22]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f42,f21]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f94,f19]) ).
fof(f128,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f91,f48]) ).
fof(f132,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f128,f103]) ).
fof(f157,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f83,f24]) ).
fof(f183,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))),
inference(resolution,[],[f46,f55]) ).
fof(f199,plain,
! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) ),
inference(resolution,[],[f87,f24]) ).
fof(f201,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f199,f19]) ).
fof(f204,plain,
( ~ theorem(or(not(or(not(not(or(not(q),not(r)))),p)),or(or(not(q),p),or(not(r),p))))
| ~ theorem(or(not(or(or(not(q),p),or(not(r),p))),or(not(not(or(not(q),not(r)))),p))) ),
inference(resolution,[],[f201,f13]) ).
fof(f206,definition,
( spl0_1
<=> theorem(or(not(or(or(not(q),p),or(not(r),p))),or(not(not(or(not(q),not(r)))),p))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f208,plain,
( ~ theorem(or(not(or(or(not(q),p),or(not(r),p))),or(not(not(or(not(q),not(r)))),p)))
| spl0_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,definition,
( spl0_2
<=> theorem(or(not(or(not(not(or(not(q),not(r)))),p)),or(or(not(q),p),or(not(r),p)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f212,plain,
( ~ theorem(or(not(or(not(not(or(not(q),not(r)))),p)),or(or(not(q),p),or(not(r),p))))
| spl0_2 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f204,f210,f206]) ).
fof(f251,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[],[f60,f41]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X1,X3)))
| ~ theorem(X0) ),
inference(resolution,[],[f43,f19]) ).
fof(f448,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f438,f22]) ).
fof(f701,plain,
( ~ theorem(or(not(or(not(q),p)),or(not(not(or(not(q),not(r)))),p)))
| ~ theorem(or(not(or(not(r),p)),or(not(not(or(not(q),not(r)))),p)))
| spl0_1 ),
inference(resolution,[],[f132,f208]) ).
fof(f723,definition,
( spl0_9
<=> theorem(or(not(or(not(r),p)),or(not(not(or(not(q),not(r)))),p))) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f725,plain,
( ~ theorem(or(not(or(not(r),p)),or(not(not(or(not(q),not(r)))),p)))
| spl0_9 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f727,definition,
( spl0_10
<=> theorem(or(not(or(not(q),p)),or(not(not(or(not(q),not(r)))),p))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f729,plain,
( ~ theorem(or(not(or(not(q),p)),or(not(not(or(not(q),not(r)))),p)))
| spl0_10 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f730,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f701,f206,f727,f723]) ).
fof(f731,plain,
( ~ theorem(or(not(not(or(not(q),not(r)))),q))
| spl0_10 ),
inference(resolution,[],[f729,f37]) ).
fof(f755,plain,
( ~ theorem(or(q,or(not(q),not(r))))
| spl0_10 ),
inference(resolution,[],[f731,f157]) ).
fof(f756,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f755,f60]) ).
fof(f757,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f758,plain,
( ~ theorem(or(not(not(or(not(q),not(r)))),r))
| spl0_9 ),
inference(resolution,[],[f725,f37]) ).
fof(f805,plain,
( ~ theorem(or(r,or(not(q),not(r))))
| spl0_9 ),
inference(resolution,[],[f758,f157]) ).
fof(f806,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f805,f251]) ).
fof(f807,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f813,definition,
( spl0_17
<=> theorem(or(not(p),or(or(not(q),p),or(not(r),p)))) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f814,plain,
( theorem(or(not(p),or(or(not(q),p),or(not(r),p))))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f815,plain,
( ~ theorem(or(not(p),or(or(not(q),p),or(not(r),p))))
| spl0_17 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f900,plain,
( ~ theorem(or(not(p),or(not(r),p)))
| spl0_17 ),
inference(resolution,[],[f815,f47]) ).
fof(f904,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f900,f23]) ).
fof(f905,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f1359,plain,
! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f448,f48]) ).
fof(f1368,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X2)),X1))
| ~ theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f1359,f103]) ).
fof(f1439,plain,
( ~ theorem(or(not(or(not(q),not(r))),or(or(not(q),p),or(not(r),p))))
| ~ theorem(or(not(p),or(or(not(q),p),or(not(r),p))))
| spl0_2 ),
inference(resolution,[],[f1368,f212]) ).
fof(f1463,plain,
( ~ theorem(or(not(or(not(q),not(r))),or(or(not(q),p),or(not(r),p))))
| spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1439,f814]) ).
fof(f1493,plain,
( ~ theorem(or(not(not(q)),or(or(not(q),p),or(not(r),p))))
| ~ theorem(or(not(not(r)),or(or(not(q),p),or(not(r),p))))
| spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f1463,f132]) ).
fof(f1496,plain,
( ~ theorem(or(not(not(q)),or(or(not(q),p),or(not(r),p))))
| spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1493,f183]) ).
fof(f1501,plain,
( ~ theorem(or(not(not(q)),or(not(q),p)))
| spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f1496,f57]) ).
fof(f1502,plain,
( $false
| spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1501,f55]) ).
fof(f1503,plain,
( spl0_2
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f213]) ).
cnf(s22,plain,
( spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f730]) ).
cnf(s24,plain,
spl0_10,
inference(sat_conversion,[],[f757]) ).
cnf(s30,plain,
spl0_9,
inference(sat_conversion,[],[f807]) ).
cnf(s45,plain,
spl0_17,
inference(sat_conversion,[],[f905]) ).
cnf(s76,plain,
( spl0_2
| ~ spl0_17 ),
inference(sat_conversion,[],[f1503]) ).
cnf(s77,plain,
spl0_2,
inference(rat,[],[s76,s45]) ).
cnf(s79,plain,
spl0_1,
inference(rat,[],[s22,s24,s30]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s1,s77,s79]) ).
fof(f1504,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL310-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:32:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 17.50/3.34 % (1596507)Input is clausal, will run a generic CNF schedule.
% 17.50/3.34 % (1596587)lrs+10_1_sil=8000:sp=occurrence:random_seed=1297314025:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.50/3.34 % (1596586)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1401361260:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.50/3.34 % (1596584)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=2971282708:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.50/3.34 % (1596588)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2210081381:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.50/3.34 % (1596585)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3037558489:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.50/3.34 % (1596587)Instruction limit reached!
% 17.50/3.34 % (1596587)------------------------------
% 17.50/3.34 % (1596587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.34 % (1596587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.34 % (1596587)CaDiCaL version: 2.1.3
% 17.50/3.34 % (1596587)Termination reason: Instruction limit
% 17.50/3.34 % (1596587)Termination phase: Saturation
% 17.50/3.34 % (1596587)Time elapsed: 0.061 s
% 17.50/3.34 % (1596587)Peak memory usage: 89 MB
% 17.50/3.34 % (1596587)Instructions burned: 107 (million)
% 17.50/3.34 % (1596589)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1171508662:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.50/3.34 % (1596591)dis-21_1_sil=8000:lcm=predicate:random_seed=3097779398: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)
% 17.50/3.34 % (1596588)Instruction limit reached!
% 17.50/3.34 % (1596588)------------------------------
% 17.50/3.34 % (1596588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.34 % (1596588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.34 % (1596588)CaDiCaL version: 2.1.3
% 17.50/3.34 % (1596588)Termination reason: Instruction limit
% 17.50/3.34 % (1596588)Termination phase: Saturation
% 17.50/3.34 % (1596588)Time elapsed: 0.091 s
% 17.50/3.34 % (1596588)Peak memory usage: 88 MB
% 17.50/3.34 % (1596588)Instructions burned: 115 (million)
% 17.50/3.34 % (1596591)Instruction limit reached!
% 17.50/3.34 % (1596591)------------------------------
% 17.50/3.34 % (1596591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.34 % (1596591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.34 % (1596591)CaDiCaL version: 2.1.3
% 17.50/3.34 % (1596591)Termination reason: Instruction limit
% 17.50/3.34 % (1596591)Termination phase: Saturation
% 17.50/3.34 % (1596591)Time elapsed: 0.098 s
% 17.50/3.34 % (1596591)Peak memory usage: 87 MB
% 17.50/3.34 % (1596591)Instructions burned: 118 (million)
% 17.50/3.34 % (1596589)Instruction limit reached!
% 17.50/3.34 % (1596589)------------------------------
% 17.50/3.34 % (1596589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.34 % (1596589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.34 % (1596589)CaDiCaL version: 2.1.3
% 17.50/3.34 % (1596589)Termination reason: Instruction limit
% 17.50/3.34 % (1596589)Termination phase: Saturation
% 17.50/3.34 % (1596589)Time elapsed: 0.185 s
% 17.50/3.34 % (1596589)Peak memory usage: 89 MB
% 17.50/3.34 % (1596589)Instructions burned: 180 (million)
% 17.50/3.34 % (1596625)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=1464522866:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.50/3.34 % (1596625)Refutation not found, incomplete strategy
% 17.50/3.34 % (1596625)------------------------------
% 17.50/3.34 % (1596625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.34 % (1596625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.34 % (1596625)CaDiCaL version: 2.1.3
% 17.50/3.34 % (1596625)Termination reason: Refutation not found, incomplete strategy
% 17.50/3.34 % (1596625)Time elapsed: 0.001 s
% 17.50/3.34 % (1596625)Peak memory usage: 88 MB
% 17.50/3.34 % (1596634)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=829946171:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 18.13/3.45 % (1596634)Refutation not found, incomplete strategy
% 18.13/3.45 % (1596634)------------------------------
% 18.13/3.45 % (1596634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.45 % (1596634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.45 % (1596634)CaDiCaL version: 2.1.3
% 18.13/3.45 % (1596634)Termination reason: Refutation not found, incomplete strategy
% 18.13/3.45 % (1596634)Time elapsed: 0.001 s
% 18.13/3.45 % (1596634)Peak memory usage: 87 MB
% 18.13/3.45 % (1596635)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3181324523:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 18.13/3.45 % (1596635)Refutation not found, incomplete strategy
% 18.13/3.45 % (1596635)------------------------------
% 18.13/3.45 % (1596635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.45 % (1596635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.45 % (1596635)CaDiCaL version: 2.1.3
% 18.13/3.45 % (1596635)Termination reason: Refutation not found, incomplete strategy
% 18.13/3.45 % (1596635)Time elapsed: 0.002 s
% 18.13/3.45 % (1596635)Peak memory usage: 88 MB
% 18.13/3.45 % (1596635)Instructions burned: 1 (million)
% 18.13/3.45 % (1596625)------------------------------
% 18.13/3.45 % (1596625)------------------------------
% 18.13/3.45 % (1596639)lrs+10_64_to=lpo:sil=8000:random_seed=3494306586:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 18.13/3.45 % (1596639)Instruction limit reached!
% 18.13/3.45 % (1596639)------------------------------
% 18.13/3.45 % (1596639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.45 % (1596639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.45 % (1596639)CaDiCaL version: 2.1.3
% 18.13/3.45 % (1596639)Termination reason: Instruction limit
% 18.13/3.45 % (1596639)Termination phase: Saturation
% 18.13/3.45 % (1596639)Time elapsed: 0.115 s
% 18.13/3.45 % (1596639)Peak memory usage: 89 MB
% 18.13/3.45 % (1596639)Instructions burned: 127 (million)
% 18.13/3.45 % (1596634)------------------------------
% 18.13/3.46 % (1596634)------------------------------
% 18.13/3.46 % (1596644)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2396846386:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 18.13/3.46 % (1596635)------------------------------
% 18.13/3.46 % (1596635)------------------------------
% 18.13/3.46 % (1596644)Instruction limit reached!
% 18.13/3.46 % (1596644)------------------------------
% 18.13/3.46 % (1596644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596644)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596644)Termination reason: Instruction limit
% 18.13/3.46 % (1596644)Termination phase: Saturation
% 18.13/3.46 % (1596644)Time elapsed: 0.110 s
% 18.13/3.46 % (1596644)Peak memory usage: 89 MB
% 18.13/3.46 % (1596644)Instructions burned: 194 (million)
% 18.13/3.46 % (1596648)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4169688516:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 18.13/3.46 % (1596651)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3585801592:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 18.13/3.46 % (1596656)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=1129152867:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 18.13/3.46 % (1596656)Instruction limit reached!
% 18.13/3.46 % (1596656)------------------------------
% 18.13/3.46 % (1596656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596656)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596656)Termination reason: Instruction limit
% 18.13/3.46 % (1596656)Termination phase: Saturation
% 18.13/3.46 % (1596656)Time elapsed: 0.052 s
% 18.13/3.46 % (1596656)Peak memory usage: 89 MB
% 18.13/3.46 % (1596656)Instructions burned: 107 (million)
% 18.13/3.46 % (1596657)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1410187777:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 18.13/3.46 % (1596657)Refutation not found, incomplete strategy
% 18.13/3.46 % (1596657)------------------------------
% 18.13/3.46 % (1596657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596657)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596657)Termination reason: Refutation not found, incomplete strategy
% 18.13/3.46 % (1596657)Time elapsed: 0.002 s
% 18.13/3.46 % (1596657)Peak memory usage: 87 MB
% 18.13/3.46 % (1596648)Instruction limit reached!
% 18.13/3.46 % (1596648)------------------------------
% 18.13/3.46 % (1596648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596648)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596648)Termination reason: Instruction limit
% 18.13/3.46 % (1596648)Termination phase: Saturation
% 18.13/3.46 % (1596648)Time elapsed: 0.170 s
% 18.13/3.46 % (1596648)Peak memory usage: 91 MB
% 18.13/3.46 % (1596648)Instructions burned: 157 (million)
% 18.13/3.46 % (1596663)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=432981802:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 18.13/3.46 % (1596665)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1187784424:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 18.13/3.46 % (1596663)Instruction limit reached!
% 18.13/3.46 % (1596663)------------------------------
% 18.13/3.46 % (1596663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596663)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596663)Termination reason: Instruction limit
% 18.13/3.46 % (1596663)Termination phase: Saturation
% 18.13/3.46 % (1596663)Time elapsed: 0.138 s
% 18.13/3.46 % (1596663)Peak memory usage: 90 MB
% 18.13/3.46 % (1596663)Instructions burned: 243 (million)
% 18.13/3.46 % (1596657)------------------------------
% 18.13/3.46 % (1596657)------------------------------
% 18.13/3.46 % (1596672)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1474135159:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 18.13/3.46 % (1596672)Instruction limit reached!
% 18.13/3.46 % (1596672)------------------------------
% 18.13/3.46 % (1596672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596672)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596672)Termination reason: Instruction limit
% 18.13/3.46 % (1596672)Termination phase: Saturation
% 18.13/3.46 % (1596672)Time elapsed: 0.075 s
% 18.13/3.46 % (1596672)Peak memory usage: 89 MB
% 18.13/3.46 % (1596672)Instructions burned: 134 (million)
% 18.13/3.46 % (1596673)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1647289673:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 18.13/3.46 % (1596677)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1679291750:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 18.13/3.46 % (1596651)First to succeed.
% 18.13/3.46 % (1596651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1596507"
% 18.13/3.46 % (1596673)Instruction limit reached!
% 18.13/3.46 % (1596673)------------------------------
% 18.13/3.46 % (1596673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596673)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596673)Termination reason: Instruction limit
% 18.13/3.46 % (1596673)Termination phase: Saturation
% 18.13/3.46 % (1596673)Time elapsed: 0.480 s
% 18.13/3.46 % (1596673)Peak memory usage: 93 MB
% 18.13/3.46 % (1596673)Instructions burned: 500 (million)
% 18.13/3.46 % (1596677)Instruction limit reached!
% 18.13/3.46 % (1596677)------------------------------
% 18.13/3.46 % (1596677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.13/3.46 % (1596677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.13/3.46 % (1596677)CaDiCaL version: 2.1.3
% 18.13/3.46 % (1596677)Termination reason: Instruction limit
% 18.13/3.46 % (1596677)Termination phase: Saturation
% 18.13/3.46 % (1596677)Time elapsed: 0.207 s
% 18.13/3.46 % (1596677)Peak memory usage: 93 MB
% 18.13/3.46 % (1596677)Instructions burned: 191 (million)
% 18.13/3.46 % (1596651)Refutation found. Thanks to Tanya!
% 18.13/3.46 % SZS status Unsatisfiable for theBenchmark
% 18.13/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 18.85/3.72 % (1596651)------------------------------
% 18.85/3.72 % (1596651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.85/3.72 % (1596651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/3.72 % (1596651)CaDiCaL version: 2.1.3
% 18.85/3.72 % (1596651)Termination reason: Refutation
% 18.85/3.72 % (1596651)Time elapsed: 1.185 s
% 18.85/3.72 % (1596651)Peak memory usage: 132 MB
% 18.85/3.72 % (1596651)Instructions burned: 1329 (million)
% 18.85/3.72 % (1596651)------------------------------
% 18.85/3.72 % (1596651)------------------------------
% 18.85/3.72 % (1596507)Success in time 2.576 s
% 18.85/3.72 % Vampire exiting
%------------------------------------------------------------------------------