%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL278-3 : 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 : n010.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 11:51:51 AM UTC 2026
% Result : Unsatisfiable 10.17s 2.42s
% Output : Refutation 11.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 35 unt; 2 def)
% Number of atoms : 168 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 158 ( 84 ~; 72 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 156 ( 0 sgn 156 !; 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(implies(equivalent(p,q),equivalent(or(p,r),or(q,r)))),
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(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(or(not(or(not(or(p,r)),or(q,r))),not(or(not(or(q,r)),or(p,r))))))),
inference(definition_unfolding,[],[f11,f6,f12,f12]) ).
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(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f21,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f22,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f15,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,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f19,f20]) ).
fof(f26,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
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,f22]) ).
fof(f29,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f27,f20]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f25,f19]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f35,f25]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f35,f21]) ).
fof(f45,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,[],[f35,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,[],[f35,f22]) ).
fof(f47,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f35,f23]) ).
fof(f48,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f35,f24]) ).
fof(f55,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f42,f23]) ).
fof(f60,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f55,f27]) ).
fof(f66,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f48,f55]) ).
fof(f82,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f26,f66]) ).
fof(f89,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f41,f21]) ).
fof(f91,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,[],[f41,f20]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f41,f22]) ).
fof(f100,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,[],[f91,f19]) ).
fof(f124,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f89,f48]) ).
fof(f126,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f124,f100]) ).
fof(f134,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f82,f35]) ).
fof(f141,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f134,f26]) ).
fof(f142,plain,
~ theorem(or(not(or(not(or(not(or(p,r)),or(q,r))),not(or(not(or(q,r)),or(p,r))))),or(not(or(not(p),q)),not(or(not(q),p))))),
inference(resolution,[],[f141,f13]) ).
fof(f159,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))),
inference(resolution,[],[f46,f55]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f93,f19]) ).
fof(f301,plain,
! [X2,X0,X1] :
( theorem(or(X0,not(not(or(X1,X2)))))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f270,f82]) ).
fof(f308,plain,
! [X2,X0,X1] :
( theorem(or(not(not(or(X0,X2))),X1))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f301,f26]) ).
fof(f339,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,[],[f45,f19]) ).
fof(f354,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,X2)))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f339,f22]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X3,or(not(or(X0,X2)),X4)))
| theorem(or(X3,or(X1,X4)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f354,f35]) ).
fof(f692,definition,
( spl0_8
<=> theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(p),q)),not(or(not(q),p))))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f693,plain,
( theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(p),q)),not(or(not(q),p)))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f694,plain,
( ~ theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(p),q)),not(or(not(q),p)))))
| spl0_8 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f768,plain,
( ~ theorem(or(not(not(or(not(or(p,r)),or(q,r)))),or(not(or(not(p),q)),not(or(not(q),p)))))
| ~ theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(p),q)),not(or(not(q),p))))) ),
inference(resolution,[],[f126,f142]) ).
fof(f782,plain,
! [X2,X3,X0,X1] :
( theorem(or(X1,or(not(or(X0,X3)),X2)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f126,f27]) ).
fof(f1192,definition,
( spl0_27
<=> theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(q),p)),not(or(not(p),q))))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1193,plain,
( theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(q),p)),not(or(not(p),q)))))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1194,plain,
( ~ theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(q),p)),not(or(not(p),q)))))
| spl0_27 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1200,plain,
( ~ theorem(or(not(or(q,r)),or(or(not(or(not(q),p)),not(or(not(p),q))),or(p,r))))
| spl0_27 ),
inference(resolution,[],[f1194,f308]) ).
fof(f1379,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(not(or(X0,X1))),or(X2,X3)))
| ~ theorem(or(X0,or(X2,X1))) ),
inference(resolution,[],[f383,f55]) ).
fof(f1397,plain,
! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(X0,or(X2,X1))) ),
inference(resolution,[],[f383,f60]) ).
fof(f1477,plain,
! [X2,X3,X0,X1] :
( theorem(or(or(X1,X3),or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f1397,f26]) ).
fof(f1483,plain,
! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X1,X3),X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f1477,f27]) ).
fof(f1624,plain,
( ~ theorem(or(not(or(q,r)),or(not(or(not(q),p)),or(p,r))))
| spl0_27 ),
inference(resolution,[],[f1483,f1200]) ).
fof(f1641,plain,
( ~ theorem(or(not(p),or(not(or(q,r)),or(p,r))))
| ~ theorem(or(not(not(q)),or(not(or(q,r)),or(p,r))))
| spl0_27 ),
inference(resolution,[],[f1624,f782]) ).
fof(f1645,plain,
( ~ theorem(or(not(not(q)),or(not(or(q,r)),or(p,r))))
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1641,f159]) ).
fof(f1678,plain,
( ~ theorem(or(not(r),or(not(not(q)),or(p,r))))
| ~ theorem(or(not(q),or(not(not(q)),or(p,r))))
| spl0_27 ),
inference(resolution,[],[f1645,f782]) ).
fof(f1682,plain,
( ~ theorem(or(not(r),or(not(not(q)),or(p,r))))
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1678,f60]) ).
fof(f1686,plain,
( ~ theorem(or(not(r),or(p,r)))
| spl0_27 ),
inference(resolution,[],[f1682,f47]) ).
fof(f1688,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1686,f23]) ).
fof(f1689,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1761,plain,
( theorem(or(not(not(or(not(or(q,r)),or(p,r)))),or(not(or(not(p),q)),not(or(not(q),p)))))
| ~ spl0_27 ),
inference(resolution,[],[f1193,f42]) ).
fof(f1764,plain,
( $false
| spl0_8
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1761,f694]) ).
fof(f1765,plain,
( spl0_8
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1790,plain,
( ~ theorem(or(not(not(or(not(or(p,r)),or(q,r)))),or(not(or(not(p),q)),not(or(not(q),p)))))
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f768,f693]) ).
fof(f2401,plain,
( ~ theorem(or(not(or(p,r)),or(not(or(not(p),q)),or(q,r))))
| ~ spl0_8 ),
inference(resolution,[],[f1379,f1790]) ).
fof(f2425,plain,
( ~ theorem(or(not(q),or(not(or(p,r)),or(q,r))))
| ~ theorem(or(not(not(p)),or(not(or(p,r)),or(q,r))))
| ~ spl0_8 ),
inference(resolution,[],[f2401,f782]) ).
fof(f2429,plain,
( ~ theorem(or(not(not(p)),or(not(or(p,r)),or(q,r))))
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2425,f159]) ).
fof(f2462,plain,
( ~ theorem(or(not(r),or(not(not(p)),or(q,r))))
| ~ theorem(or(not(p),or(not(not(p)),or(q,r))))
| ~ spl0_8 ),
inference(resolution,[],[f2429,f782]) ).
fof(f2466,plain,
( ~ theorem(or(not(r),or(not(not(p)),or(q,r))))
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2462,f60]) ).
fof(f2470,plain,
( ~ theorem(or(not(r),or(q,r)))
| ~ spl0_8 ),
inference(resolution,[],[f2466,f47]) ).
fof(f2472,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2470,f23]) ).
fof(f2473,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f2472]) ).
cnf(s53,plain,
spl0_27,
inference(sat_conversion,[],[f1689]) ).
cnf(s58,plain,
( spl0_8
| ~ spl0_27 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s103,plain,
~ spl0_8,
inference(sat_conversion,[],[f2473]) ).
cnf(s108,plain,
~ spl0_27,
inference(rat,[],[s58,s103]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s53,s108]) ).
fof(f2474,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL278-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n010.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 15:32:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 9.93/2.24 % (1102954)Input is clausal, will run a generic CNF schedule.
% 9.93/2.24 % (1102964)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2397486336:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.93/2.24 % (1102962)lrs+10_1_sil=8000:sp=occurrence:random_seed=2894065841:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.93/2.24 % (1102959)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=2596232125:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.93/2.24 % (1102960)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3551463541:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.93/2.24 % (1102965)dis-21_1_sil=8000:lcm=predicate:random_seed=3971285473: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)
% 9.93/2.24 % (1102961)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1749159354:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.93/2.24 % (1102963)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=231149303:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.93/2.24 % (1102964)Instruction limit reached!
% 9.93/2.24 % (1102964)------------------------------
% 9.93/2.24 % (1102964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.24 % (1102964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.24 % (1102964)CaDiCaL version: 2.1.3
% 9.93/2.24 % (1102964)Termination reason: Instruction limit
% 9.93/2.24 % (1102964)Termination phase: Saturation
% 9.93/2.24 % (1102964)Time elapsed: 0.062 s
% 9.93/2.24 % (1102964)Peak memory usage: 89 MB
% 9.93/2.24 % (1102964)Instructions burned: 183 (million)
% 9.93/2.24 % (1102965)Instruction limit reached!
% 9.93/2.24 % (1102965)------------------------------
% 9.93/2.24 % (1102965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.24 % (1102965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.24 % (1102965)CaDiCaL version: 2.1.3
% 9.93/2.24 % (1102965)Termination reason: Instruction limit
% 9.93/2.24 % (1102965)Termination phase: Saturation
% 9.93/2.24 % (1102965)Time elapsed: 0.058 s
% 9.93/2.24 % (1102965)Peak memory usage: 87 MB
% 9.93/2.24 % (1102965)Instructions burned: 118 (million)
% 9.93/2.24 % (1102962)Instruction limit reached!
% 9.93/2.24 % (1102962)------------------------------
% 9.93/2.24 % (1102962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.24 % (1102962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.24 % (1102962)CaDiCaL version: 2.1.3
% 9.93/2.24 % (1102962)Termination reason: Instruction limit
% 9.93/2.24 % (1102962)Termination phase: Saturation
% 9.93/2.24 % (1102962)Time elapsed: 0.072 s
% 9.93/2.24 % (1102962)Peak memory usage: 89 MB
% 9.93/2.24 % (1102962)Instructions burned: 108 (million)
% 9.93/2.24 % (1102963)Instruction limit reached!
% 9.93/2.24 % (1102963)------------------------------
% 9.93/2.24 % (1102963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.24 % (1102963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.24 % (1102963)CaDiCaL version: 2.1.3
% 9.93/2.24 % (1102963)Termination reason: Instruction limit
% 9.93/2.24 % (1102963)Termination phase: Saturation
% 9.93/2.24 % (1102963)Time elapsed: 0.074 s
% 9.93/2.24 % (1102963)Peak memory usage: 88 MB
% 9.93/2.24 % (1102963)Instructions burned: 115 (million)
% 9.93/2.24 % (1102973)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=3270628267:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.93/2.24 % (1102973)Refutation not found, incomplete strategy
% 9.93/2.24 % (1102973)------------------------------
% 9.93/2.24 % (1102973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.24 % (1102973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.24 % (1102973)CaDiCaL version: 2.1.3
% 9.93/2.24 % (1102973)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.24 % (1102973)Time elapsed: 0.001 s
% 9.93/2.24 % (1102973)Peak memory usage: 88 MB
% 9.93/2.24 % (1102974)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1001917230: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)
% 10.17/2.42 % (1102974)Refutation not found, incomplete strategy
% 10.17/2.42 % (1102974)------------------------------
% 10.17/2.42 % (1102974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102974)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102974)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.42 % (1102974)Time elapsed: 0.001 s
% 10.17/2.42 % (1102974)Peak memory usage: 87 MB
% 10.17/2.42 % (1102976)lrs+10_64_to=lpo:sil=8000:random_seed=2671757122:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.17/2.42 % (1102975)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=790223396:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.17/2.42 % (1102975)Refutation not found, incomplete strategy
% 10.17/2.42 % (1102975)------------------------------
% 10.17/2.42 % (1102975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102975)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102975)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.42 % (1102975)Time elapsed: 0.001 s
% 10.17/2.42 % (1102975)Peak memory usage: 88 MB
% 10.17/2.42 % (1102973)------------------------------
% 10.17/2.42 % (1102973)------------------------------
% 10.17/2.42 % (1102976)Instruction limit reached!
% 10.17/2.42 % (1102976)------------------------------
% 10.17/2.42 % (1102976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102976)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102976)Termination reason: Instruction limit
% 10.17/2.42 % (1102976)Termination phase: Saturation
% 10.17/2.42 % (1102976)Time elapsed: 0.073 s
% 10.17/2.42 % (1102976)Peak memory usage: 89 MB
% 10.17/2.42 % (1102976)Instructions burned: 126 (million)
% 10.17/2.42 % (1102981)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3316242021:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.17/2.42 % (1102981)Instruction limit reached!
% 10.17/2.42 % (1102981)------------------------------
% 10.17/2.42 % (1102981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102981)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102981)Termination reason: Instruction limit
% 10.17/2.42 % (1102981)Termination phase: Saturation
% 10.17/2.42 % (1102981)Time elapsed: 0.067 s
% 10.17/2.42 % (1102981)Peak memory usage: 90 MB
% 10.17/2.42 % (1102981)Instructions burned: 194 (million)
% 10.17/2.42 % (1102982)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=269950225:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.17/2.42 % (1102974)------------------------------
% 10.17/2.42 % (1102974)------------------------------
% 10.17/2.42 % (1102975)------------------------------
% 10.17/2.42 % (1102975)------------------------------
% 10.17/2.42 % (1102984)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2800064510:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.17/2.42 % (1102982)Instruction limit reached!
% 10.17/2.42 % (1102982)------------------------------
% 10.17/2.42 % (1102982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102982)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102982)Termination reason: Instruction limit
% 10.17/2.42 % (1102982)Termination phase: Saturation
% 10.17/2.42 % (1102982)Time elapsed: 0.099 s
% 10.17/2.42 % (1102982)Peak memory usage: 91 MB
% 10.17/2.42 % (1102982)Instructions burned: 157 (million)
% 10.17/2.42 % (1102986)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=2944079673:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.17/2.42 % (1102987)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2632737282:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.17/2.42 % (1102987)Refutation not found, incomplete strategy
% 10.17/2.42 % (1102987)------------------------------
% 10.17/2.42 % (1102987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102987)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102987)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.42 % (1102987)Time elapsed: 0.001 s
% 10.17/2.42 % (1102987)Peak memory usage: 87 MB
% 10.17/2.42 % (1102986)Instruction limit reached!
% 10.17/2.42 % (1102986)------------------------------
% 10.17/2.42 % (1102986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102986)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102986)Termination reason: Instruction limit
% 10.17/2.42 % (1102986)Termination phase: Saturation
% 10.17/2.42 % (1102986)Time elapsed: 0.057 s
% 10.17/2.42 % (1102986)Peak memory usage: 89 MB
% 10.17/2.42 % (1102986)Instructions burned: 108 (million)
% 10.17/2.42 % (1102989)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3199858494:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 10.17/2.42 % (1102992)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4261242333:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.17/2.42 % (1102989)Instruction limit reached!
% 10.17/2.42 % (1102989)------------------------------
% 10.17/2.42 % (1102989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102989)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102989)Termination reason: Instruction limit
% 10.17/2.42 % (1102989)Termination phase: Saturation
% 10.17/2.42 % (1102989)Time elapsed: 0.164 s
% 10.17/2.42 % (1102989)Peak memory usage: 90 MB
% 10.17/2.42 % (1102989)Instructions burned: 242 (million)
% 10.17/2.42 % (1102987)------------------------------
% 10.17/2.42 % (1102987)------------------------------
% 10.17/2.42 % (1102995)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2442550121:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 10.17/2.42 % (1102996)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=694636694:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 10.17/2.42 % (1102995)Instruction limit reached!
% 10.17/2.42 % (1102995)------------------------------
% 10.17/2.42 % (1102995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102995)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102995)Termination reason: Instruction limit
% 10.17/2.42 % (1102995)Termination phase: Saturation
% 10.17/2.42 % (1102995)Time elapsed: 0.084 s
% 10.17/2.42 % (1102995)Peak memory usage: 90 MB
% 10.17/2.42 % (1102995)Instructions burned: 134 (million)
% 10.17/2.42 % (1102999)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2735710061:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 10.17/2.42 % (1102984)First to succeed.
% 10.17/2.42 % (1102984)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1102954"
% 10.17/2.42 % (1102999)Instruction limit reached!
% 10.17/2.42 % (1102999)------------------------------
% 10.17/2.42 % (1102999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102999)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102999)Termination reason: Instruction limit
% 10.17/2.42 % (1102999)Termination phase: Saturation
% 10.17/2.42 % (1102999)Time elapsed: 0.069 s
% 10.17/2.42 % (1102999)Peak memory usage: 93 MB
% 10.17/2.42 % (1102999)Instructions burned: 192 (million)
% 10.17/2.42 % (1102996)Instruction limit reached!
% 10.17/2.42 % (1102996)------------------------------
% 10.17/2.42 % (1102996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1102996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1102996)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1102996)Termination reason: Instruction limit
% 10.17/2.42 % (1102996)Termination phase: Saturation
% 10.17/2.42 % (1102996)Time elapsed: 0.286 s
% 10.17/2.42 % (1102996)Peak memory usage: 94 MB
% 10.17/2.42 % (1102996)Instructions burned: 500 (million)
% 10.17/2.42 % (1103001)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1947286005:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 10.17/2.42 % (1103001)Instruction limit reached!
% 10.17/2.42 % (1103001)------------------------------
% 10.17/2.42 % (1103001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.42 % (1103001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.42 % (1103001)CaDiCaL version: 2.1.3
% 10.17/2.42 % (1103001)Termination reason: Instruction limit
% 10.17/2.42 % (1103001)Termination phase: Saturation
% 10.17/2.42 % (1103001)Time elapsed: 0.082 s
% 10.17/2.42 % (1103001)Peak memory usage: 92 MB
% 10.17/2.42 % (1103001)Instructions burned: 267 (million)
% 10.17/2.42 % (1103003)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=431501979:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 10.17/2.42 % (1102984)Refutation found. Thanks to Tanya!
% 10.17/2.42 % SZS status Unsatisfiable for theBenchmark
% 10.17/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 11.70/2.62 % (1102984)------------------------------
% 11.70/2.62 % (1102984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.70/2.62 % (1102984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.70/2.62 % (1102984)CaDiCaL version: 2.1.3
% 11.70/2.62 % (1102984)Termination reason: Refutation
% 11.70/2.62 % (1102984)Time elapsed: 0.662 s
% 11.70/2.62 % (1102984)Peak memory usage: 134 MB
% 11.70/2.62 % (1102984)Instructions burned: 1518 (million)
% 11.70/2.62 % (1102984)------------------------------
% 11.70/2.62 % (1102984)------------------------------
% 11.70/2.62 % (1102954)Success in time 1.568 s
% 11.70/2.62 % Vampire exiting
%------------------------------------------------------------------------------