%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL346-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:03 AM UTC 2026
% Result : Unsatisfiable 14.88s 3.09s
% Output : Refutation 15.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 98 ( 39 unt; 5 def)
% Number of atoms : 175 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 150 ( 73 ~; 72 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 12 ( 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 : 130 ( 0 sgn 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(implies(and(p,not(q)),r),implies(p,or(q,r)))),
file('/export/starexec/sandbox2/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(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r)))),not(or(not(or(not(p),or(q,r))),or(not(not(or(not(p),not(not(q))))),r)))))),
inference(definition_unfolding,[],[f11,f12,f6,f9,f6]) ).
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] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f18,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f19,f22]) ).
fof(f26,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f19,f21]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f19,f20]) ).
fof(f29,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f27,f22]) ).
fof(f30,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f27,f21]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f26,f19]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f33,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,[],[f33,f26]) ).
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,[],[f33,f30]) ).
fof(f47,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f33,f23]) ).
fof(f48,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f33,f24]) ).
fof(f55,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f41,f23]) ).
fof(f60,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f55,f27]) ).
fof(f68,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X0))),
inference(resolution,[],[f25,f55]) ).
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,f25]) ).
fof(f83,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f82,f33]) ).
fof(f86,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f42,f22]) ).
fof(f89,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(f97,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,[],[f89,f19]) ).
fof(f121,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f86,f48]) ).
fof(f125,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f121,f97]) ).
fof(f132,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f29,f19]) ).
fof(f165,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f83,f25]) ).
fof(f180,plain,
! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) ),
inference(resolution,[],[f132,f25]) ).
fof(f182,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f180,f19]) ).
fof(f185,plain,
( ~ theorem(or(not(or(not(p),or(q,r))),or(not(not(or(not(p),not(not(q))))),r)))
| ~ theorem(or(not(or(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r)))) ),
inference(resolution,[],[f182,f13]) ).
fof(f187,definition,
( spl0_1
<=> theorem(or(not(or(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r)))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f189,plain,
( ~ theorem(or(not(or(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r))))
| spl0_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,definition,
( spl0_2
<=> theorem(or(not(or(not(p),or(q,r))),or(not(not(or(not(p),not(not(q))))),r))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f193,plain,
( ~ theorem(or(not(or(not(p),or(q,r))),or(not(not(or(not(p),not(not(q))))),r)))
| spl0_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f185,f191,f187]) ).
fof(f245,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[],[f60,f41]) ).
fof(f441,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(f451,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f441,f22]) ).
fof(f705,definition,
( spl0_8
<=> theorem(or(not(r),or(not(p),or(q,r)))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f706,plain,
( theorem(or(not(r),or(not(p),or(q,r))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( ~ theorem(or(not(r),or(not(p),or(q,r))))
| spl0_8 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f723,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X3)),or(X2,X1)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f125,f41]) ).
fof(f735,plain,
( ~ theorem(or(not(r),or(q,r)))
| spl0_8 ),
inference(resolution,[],[f707,f47]) ).
fof(f737,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f735,f23]) ).
fof(f738,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f977,plain,
! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f451,f48]) ).
fof(f986,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X2)),X1))
| ~ theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f977,f97]) ).
fof(f1005,plain,
( ~ theorem(or(not(or(not(p),not(not(q)))),or(not(p),or(q,r))))
| ~ theorem(or(not(r),or(not(p),or(q,r))))
| spl0_1 ),
inference(resolution,[],[f986,f189]) ).
fof(f1019,plain,
( ~ theorem(or(not(or(not(p),not(not(q)))),or(not(p),or(q,r))))
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1005,f706]) ).
fof(f1020,plain,
( ~ theorem(or(not(not(not(q))),or(q,r)))
| spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f1019,f26]) ).
fof(f1031,plain,
( ~ theorem(or(or(q,r),not(q)))
| spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f1020,f165]) ).
fof(f1035,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1031,f68]) ).
fof(f1036,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1037,plain,
( ~ theorem(or(not(or(q,r)),or(r,not(not(or(not(p),not(not(q))))))))
| ~ theorem(or(not(not(p)),or(r,not(not(or(not(p),not(not(q))))))))
| spl0_2 ),
inference(resolution,[],[f193,f723]) ).
fof(f1059,definition,
( spl0_25
<=> theorem(or(not(not(p)),or(r,not(not(or(not(p),not(not(q)))))))) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1061,plain,
( ~ theorem(or(not(not(p)),or(r,not(not(or(not(p),not(not(q))))))))
| spl0_25 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1063,definition,
( spl0_26
<=> theorem(or(not(or(q,r)),or(r,not(not(or(not(p),not(not(q)))))))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1065,plain,
( ~ theorem(or(not(or(q,r)),or(r,not(not(or(not(p),not(not(q))))))))
| spl0_26 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1066,plain,
( ~ spl0_25
| ~ spl0_26
| spl0_2 ),
inference(avatar_split_clause,[],[f1037,f191,f1063,f1059]) ).
fof(f1097,plain,
( ~ theorem(or(not(q),not(not(or(not(p),not(not(q)))))))
| spl0_26 ),
inference(resolution,[],[f1065,f86]) ).
fof(f1121,plain,
( ~ theorem(or(not(q),or(not(p),not(not(q)))))
| spl0_26 ),
inference(resolution,[],[f1097,f83]) ).
fof(f1122,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f1121,f245]) ).
fof(f1123,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f1122]) ).
fof(f1128,plain,
( ~ theorem(or(not(not(p)),not(not(or(not(p),not(not(q)))))))
| spl0_25 ),
inference(resolution,[],[f1061,f47]) ).
fof(f1304,plain,
( ~ theorem(or(not(not(p)),or(not(p),not(not(q)))))
| spl0_25 ),
inference(resolution,[],[f1128,f83]) ).
fof(f1305,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f1304,f55]) ).
fof(f1306,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f1305]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f194]) ).
cnf(s24,plain,
spl0_8,
inference(sat_conversion,[],[f738]) ).
cnf(s34,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s37,plain,
( spl0_2
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s44,plain,
spl0_26,
inference(sat_conversion,[],[f1123]) ).
cnf(s61,plain,
spl0_25,
inference(sat_conversion,[],[f1306]) ).
cnf(s63,plain,
spl0_2,
inference(rat,[],[s37,s44,s61]) ).
cnf(s64,plain,
spl0_1,
inference(rat,[],[s34,s24]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s1,s63,s64]) ).
fof(f1307,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL346-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:35:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 12.36/2.82 % (2184388)Input is clausal, will run a generic CNF schedule.
% 12.36/2.82 % (2184416)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3575575616:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.36/2.82 % (2184411)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3376097715:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.36/2.82 % (2184410)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=3111411641:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.36/2.82 % (2184413)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3403397702:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.36/2.82 % (2184415)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4067816520:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.36/2.82 % (2184414)lrs+10_1_sil=8000:sp=occurrence:random_seed=1152704015:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.36/2.82 % (2184417)dis-21_1_sil=8000:lcm=predicate:random_seed=3230773748: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)
% 12.36/2.82 % (2184416)Instruction limit reached!
% 12.36/2.82 % (2184416)------------------------------
% 12.36/2.82 % (2184416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.82 % (2184416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.82 % (2184416)CaDiCaL version: 2.1.3
% 12.36/2.82 % (2184416)Termination reason: Instruction limit
% 12.36/2.82 % (2184416)Termination phase: Saturation
% 12.36/2.82 % (2184416)Time elapsed: 0.098 s
% 12.36/2.82 % (2184416)Peak memory usage: 89 MB
% 12.36/2.82 % (2184416)Instructions burned: 182 (million)
% 12.36/2.82 % (2184417)Instruction limit reached!
% 12.36/2.82 % (2184417)------------------------------
% 12.36/2.82 % (2184417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.82 % (2184417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.82 % (2184417)CaDiCaL version: 2.1.3
% 12.36/2.82 % (2184417)Termination reason: Instruction limit
% 12.36/2.82 % (2184417)Termination phase: Saturation
% 12.36/2.82 % (2184417)Time elapsed: 0.078 s
% 12.36/2.82 % (2184417)Peak memory usage: 87 MB
% 12.36/2.82 % (2184417)Instructions burned: 118 (million)
% 12.36/2.82 % (2184415)Instruction limit reached!
% 12.36/2.82 % (2184415)------------------------------
% 12.36/2.82 % (2184415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.82 % (2184415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.82 % (2184415)CaDiCaL version: 2.1.3
% 12.36/2.82 % (2184415)Termination reason: Instruction limit
% 12.36/2.82 % (2184415)Termination phase: Saturation
% 12.36/2.82 % (2184415)Time elapsed: 0.099 s
% 12.36/2.82 % (2184415)Peak memory usage: 89 MB
% 12.36/2.82 % (2184415)Instructions burned: 114 (million)
% 12.36/2.82 % (2184414)Instruction limit reached!
% 12.36/2.82 % (2184414)------------------------------
% 12.36/2.82 % (2184414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.82 % (2184414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.82 % (2184414)CaDiCaL version: 2.1.3
% 12.36/2.82 % (2184414)Termination reason: Instruction limit
% 12.36/2.82 % (2184414)Termination phase: Saturation
% 12.36/2.82 % (2184414)Time elapsed: 0.101 s
% 12.36/2.82 % (2184414)Peak memory usage: 89 MB
% 12.36/2.82 % (2184414)Instructions burned: 107 (million)
% 12.36/2.82 % (2184427)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=1931955316:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 12.36/2.82 % (2184427)Refutation not found, incomplete strategy
% 12.36/2.82 % (2184427)------------------------------
% 12.36/2.82 % (2184427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.82 % (2184427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.82 % (2184427)CaDiCaL version: 2.1.3
% 12.36/2.82 % (2184427)Termination reason: Refutation not found, incomplete strategy
% 12.36/2.82 % (2184427)Time elapsed: 0.001 s
% 12.36/2.82 % (2184427)Peak memory usage: 88 MB
% 12.36/2.82 % (2184430)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=842111009: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)
% 14.88/3.09 % (2184430)Refutation not found, incomplete strategy
% 14.88/3.09 % (2184430)------------------------------
% 14.88/3.09 % (2184430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184430)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184430)Termination reason: Refutation not found, incomplete strategy
% 14.88/3.09 % (2184430)Time elapsed: 0.002 s
% 14.88/3.09 % (2184430)Peak memory usage: 87 MB
% 14.88/3.09 % (2184431)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=389896045:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 14.88/3.09 % (2184431)Refutation not found, incomplete strategy
% 14.88/3.09 % (2184431)------------------------------
% 14.88/3.09 % (2184431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184431)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184431)Termination reason: Refutation not found, incomplete strategy
% 14.88/3.09 % (2184431)Time elapsed: 0.003 s
% 14.88/3.09 % (2184431)Peak memory usage: 88 MB
% 14.88/3.09 % (2184431)Instructions burned: 1 (million)
% 14.88/3.09 % (2184432)lrs+10_64_to=lpo:sil=8000:random_seed=21637780:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 14.88/3.09 % (2184432)Instruction limit reached!
% 14.88/3.09 % (2184432)------------------------------
% 14.88/3.09 % (2184432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184432)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184432)Termination reason: Instruction limit
% 14.88/3.09 % (2184432)Termination phase: Saturation
% 14.88/3.09 % (2184432)Time elapsed: 0.118 s
% 14.88/3.09 % (2184432)Peak memory usage: 89 MB
% 14.88/3.09 % (2184432)Instructions burned: 126 (million)
% 14.88/3.09 % (2184427)------------------------------
% 14.88/3.09 % (2184427)------------------------------
% 14.88/3.09 % (2184442)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=200915346:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 14.88/3.09 % (2184444)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3916496672:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 14.88/3.09 % (2184430)------------------------------
% 14.88/3.09 % (2184430)------------------------------
% 14.88/3.09 % (2184431)------------------------------
% 14.88/3.09 % (2184431)------------------------------
% 14.88/3.09 % (2184442)Instruction limit reached!
% 14.88/3.09 % (2184442)------------------------------
% 14.88/3.09 % (2184442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184442)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184442)Termination reason: Instruction limit
% 14.88/3.09 % (2184442)Termination phase: Saturation
% 14.88/3.09 % (2184442)Time elapsed: 0.125 s
% 14.88/3.09 % (2184442)Peak memory usage: 89 MB
% 14.88/3.09 % (2184442)Instructions burned: 195 (million)
% 14.88/3.09 % (2184444)Instruction limit reached!
% 14.88/3.09 % (2184444)------------------------------
% 14.88/3.09 % (2184444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184444)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184444)Termination reason: Instruction limit
% 14.88/3.09 % (2184444)Termination phase: Saturation
% 14.88/3.09 % (2184444)Time elapsed: 0.099 s
% 14.88/3.09 % (2184444)Peak memory usage: 91 MB
% 14.88/3.09 % (2184444)Instructions burned: 158 (million)
% 14.88/3.09 % (2184447)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3293423018:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 14.88/3.09 % (2184448)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=160833217:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 14.88/3.09 % (2184448)Instruction limit reached!
% 14.88/3.09 % (2184448)------------------------------
% 14.88/3.09 % (2184448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184448)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184448)Termination reason: Instruction limit
% 14.88/3.09 % (2184448)Termination phase: Saturation
% 14.88/3.09 % (2184448)Time elapsed: 0.058 s
% 14.88/3.09 % (2184448)Peak memory usage: 89 MB
% 14.88/3.09 % (2184448)Instructions burned: 108 (million)
% 14.88/3.09 % (2184450)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4058138556:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 14.88/3.09 % (2184449)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3172231229:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 14.88/3.09 % (2184449)Refutation not found, incomplete strategy
% 14.88/3.09 % (2184449)------------------------------
% 14.88/3.09 % (2184449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184449)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184449)Termination reason: Refutation not found, incomplete strategy
% 14.88/3.09 % (2184449)Time elapsed: 0.001 s
% 14.88/3.09 % (2184449)Peak memory usage: 87 MB
% 14.88/3.09 % (2184453)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4269244446:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 14.88/3.09 % (2184450)Instruction limit reached!
% 14.88/3.09 % (2184450)------------------------------
% 14.88/3.09 % (2184450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184450)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184450)Termination reason: Instruction limit
% 14.88/3.09 % (2184450)Termination phase: Saturation
% 14.88/3.09 % (2184450)Time elapsed: 0.149 s
% 14.88/3.09 % (2184450)Peak memory usage: 91 MB
% 14.88/3.09 % (2184450)Instructions burned: 243 (million)
% 14.88/3.09 % (2184449)------------------------------
% 14.88/3.09 % (2184449)------------------------------
% 14.88/3.09 % (2184458)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1333286930:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 14.88/3.09 % (2184458)Instruction limit reached!
% 14.88/3.09 % (2184458)------------------------------
% 14.88/3.09 % (2184458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184458)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184458)Termination reason: Instruction limit
% 14.88/3.09 % (2184458)Termination phase: Saturation
% 14.88/3.09 % (2184458)Time elapsed: 0.083 s
% 14.88/3.09 % (2184458)Peak memory usage: 89 MB
% 14.88/3.09 % (2184458)Instructions burned: 134 (million)
% 14.88/3.09 % (2184481)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1069658962:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 14.88/3.09 % (2184528)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1939614361:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 14.88/3.09 % (2184528)Instruction limit reached!
% 14.88/3.09 % (2184528)------------------------------
% 14.88/3.09 % (2184528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184528)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184528)Termination reason: Instruction limit
% 14.88/3.09 % (2184528)Termination phase: Saturation
% 14.88/3.09 % (2184528)Time elapsed: 0.124 s
% 14.88/3.09 % (2184528)Peak memory usage: 92 MB
% 14.88/3.09 % (2184528)Instructions burned: 192 (million)
% 14.88/3.09 % (2184481)Instruction limit reached!
% 14.88/3.09 % (2184481)------------------------------
% 14.88/3.09 % (2184481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184481)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184481)Termination reason: Instruction limit
% 14.88/3.09 % (2184481)Termination phase: Saturation
% 14.88/3.09 % (2184481)Time elapsed: 0.281 s
% 14.88/3.09 % (2184481)Peak memory usage: 94 MB
% 14.88/3.09 % (2184481)Instructions burned: 500 (million)
% 14.88/3.09 % (2184569)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2893756206:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 14.88/3.09 % (2184447)First to succeed.
% 14.88/3.09 % (2184447)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2184388"
% 14.88/3.09 % (2184578)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=593802096:cond=on:i=156:bs=on:gtg=exists_all:er=known_2982 on theBenchmark for (2982ds/156Mi)
% 14.88/3.09 % (2184578)Instruction limit reached!
% 14.88/3.09 % (2184578)------------------------------
% 14.88/3.09 % (2184578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184578)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184578)Termination reason: Instruction limit
% 14.88/3.09 % (2184578)Termination phase: Saturation
% 14.88/3.09 % (2184578)Time elapsed: 0.093 s
% 14.88/3.09 % (2184578)Peak memory usage: 88 MB
% 14.88/3.09 % (2184578)Instructions burned: 157 (million)
% 14.88/3.09 % (2184569)Instruction limit reached!
% 14.88/3.09 % (2184569)------------------------------
% 14.88/3.09 % (2184569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.88/3.09 % (2184569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/3.09 % (2184569)CaDiCaL version: 2.1.3
% 14.88/3.09 % (2184569)Termination reason: Instruction limit
% 14.88/3.09 % (2184569)Termination phase: Saturation
% 14.88/3.09 % (2184569)Time elapsed: 0.155 s
% 14.88/3.09 % (2184569)Peak memory usage: 92 MB
% 14.88/3.09 % (2184569)Instructions burned: 265 (million)
% 14.88/3.09 % (2184620)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=1190436953:i=3256:kws=precedence:bd=preordered:av=off_2980 on theBenchmark for (2980ds/3256Mi)
% 14.88/3.09 % (2184447)Refutation found. Thanks to Tanya!
% 14.88/3.09 % SZS status Unsatisfiable for theBenchmark
% 14.88/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 15.47/3.29 % (2184447)------------------------------
% 15.47/3.29 % (2184447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.47/3.29 % (2184447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/3.29 % (2184447)CaDiCaL version: 2.1.3
% 15.47/3.29 % (2184447)Termination reason: Refutation
% 15.47/3.29 % (2184447)Time elapsed: 0.847 s
% 15.47/3.29 % (2184447)Peak memory usage: 132 MB
% 15.47/3.29 % (2184447)Instructions burned: 1292 (million)
% 15.47/3.29 % (2184447)------------------------------
% 15.47/3.29 % (2184447)------------------------------
% 15.47/3.29 % (2184388)Success in time 2.086 s
% 15.47/3.29 % Vampire exiting
%------------------------------------------------------------------------------