%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL277-3 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:51 AM UTC 2026
% Result : Unsatisfiable 21.38s 4.29s
% Output : Refutation 22.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 34 unt; 2 def)
% Number of atoms : 120 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 96 ( 49 ~; 45 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 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 : 124 ( 0 sgn 124 !; 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(implies(equivalent(p,q),equivalent(and(p,r),and(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(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(or(not(or(not(not(or(not(p),not(r)))),not(or(not(q),not(r))))),not(or(not(not(or(not(q),not(r)))),not(or(not(p),not(r))))))))),
inference(definition_unfolding,[],[f11,f6,f12,f12,f9,f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f15,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(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f18,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f19,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f18,f7]) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f19,f7]) ).
fof(f25,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f14,f21]) ).
fof(f26,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f20]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f25,f14]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f23,f14]) ).
fof(f30,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f29,f21]) ).
fof(f31,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f29,f20]) ).
fof(f35,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f30,f14]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f28,f20]) ).
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,[],[f28,f25]) ).
fof(f45,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f28,f24]) ).
fof(f51,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f41,f22]) ).
fof(f61,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f45,f51]) ).
fof(f76,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f26,f61]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X3)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f35,f28]) ).
fof(f99,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f76,f28]) ).
fof(f104,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f99,f26]) ).
fof(f105,plain,
~ theorem(or(not(or(not(or(not(not(or(not(p),not(r)))),not(or(not(q),not(r))))),not(or(not(not(or(not(q),not(r)))),not(or(not(p),not(r))))))),or(not(or(not(p),q)),not(or(not(q),p))))),
inference(resolution,[],[f104,f13]) ).
fof(f113,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f42,f20]) ).
fof(f115,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(f127,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,[],[f115,f14]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f113,f14]) ).
fof(f155,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f113,f45]) ).
fof(f157,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f155,f127]) ).
fof(f268,definition,
( spl0_2
<=> theorem(or(not(not(or(not(not(or(not(q),not(r)))),not(or(not(p),not(r)))))),or(not(or(not(p),q)),not(or(not(q),p))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f270,plain,
( ~ theorem(or(not(not(or(not(not(or(not(q),not(r)))),not(or(not(p),not(r)))))),or(not(or(not(p),q)),not(or(not(q),p)))))
| spl0_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f413,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f151,f76]) ).
fof(f422,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f413,f26]) ).
fof(f431,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(not(not(X0)),X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f422,f29]) ).
fof(f610,plain,
! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X1,X2)))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f77,f51]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,X0)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f77,f31]) ).
fof(f641,plain,
! [X2,X0,X1] :
( theorem(or(not(not(X1)),or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f610,f41]) ).
fof(f667,plain,
! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X0,X2)),not(or(not(X2),X1))))),
inference(resolution,[],[f622,f30]) ).
fof(f805,plain,
( ~ theorem(or(not(not(or(not(not(or(not(p),not(r)))),not(or(not(q),not(r)))))),or(not(or(not(p),q)),not(or(not(q),p)))))
| ~ theorem(or(not(not(or(not(not(or(not(q),not(r)))),not(or(not(p),not(r)))))),or(not(or(not(p),q)),not(or(not(q),p))))) ),
inference(resolution,[],[f157,f105]) ).
fof(f842,definition,
( spl0_8
<=> theorem(or(not(not(or(not(not(or(not(p),not(r)))),not(or(not(q),not(r)))))),or(not(or(not(p),q)),not(or(not(q),p))))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f844,plain,
( ~ theorem(or(not(not(or(not(not(or(not(p),not(r)))),not(or(not(q),not(r)))))),or(not(or(not(p),q)),not(or(not(q),p)))))
| spl0_8 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f845,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f805,f842,f268]) ).
fof(f846,plain,
( ~ theorem(or(not(or(not(q),p)),or(not(not(or(not(q),not(r)))),not(or(not(p),not(r))))))
| spl0_2 ),
inference(resolution,[],[f270,f641]) ).
fof(f924,plain,
( ~ theorem(or(or(not(q),not(r)),or(not(or(not(q),p)),not(or(not(p),not(r))))))
| spl0_2 ),
inference(resolution,[],[f846,f431]) ).
fof(f928,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f924,f667]) ).
fof(f929,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f940,plain,
( ~ theorem(or(not(or(not(p),q)),or(not(not(or(not(p),not(r)))),not(or(not(q),not(r))))))
| spl0_8 ),
inference(resolution,[],[f844,f610]) ).
fof(f996,plain,
( ~ theorem(or(or(not(p),not(r)),or(not(or(not(p),q)),not(or(not(q),not(r))))))
| spl0_8 ),
inference(resolution,[],[f940,f431]) ).
fof(f1000,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f996,f667]) ).
fof(f1001,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f1000]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f845]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f929]) ).
cnf(s13,plain,
spl0_8,
inference(sat_conversion,[],[f1001]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s5,s13,s10]) ).
fof(f1002,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL277-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.47 % Computer : n006.cluster.edu
% 0.19/0.47 % Model : x86_64 x86_64
% 0.19/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.47 % Memory : 8046.5625MB
% 0.19/0.47 % OS : Linux 6.8.0-71-generic
% 0.19/0.47 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Sun Sep 27 15:32:10 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.53 Running first-order theorem proving
% 0.25/0.53 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
% 18.33/3.82 % (3108538)Input is clausal, will run a generic CNF schedule.
% 18.33/3.82 % (3108549)dis-21_1_sil=8000:lcm=predicate:random_seed=2077033925: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)
% 18.33/3.82 % (3108549)Instruction limit reached!
% 18.33/3.82 % (3108549)------------------------------
% 18.33/3.82 % (3108549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.82 % (3108549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.82 % (3108549)CaDiCaL version: 2.1.3
% 18.33/3.82 % (3108549)Termination reason: Instruction limit
% 18.33/3.82 % (3108549)Termination phase: Saturation
% 18.33/3.82 % (3108549)Time elapsed: 0.048 s
% 18.33/3.82 % (3108549)Peak memory usage: 87 MB
% 18.33/3.82 % (3108549)Instructions burned: 119 (million)
% 18.33/3.82 % (3108544)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3163397183:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.33/3.82 % (3108543)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=670693090:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.33/3.82 % (3108547)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2968043654:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.33/3.82 % (3108545)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=124557115:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.33/3.82 % (3108546)lrs+10_1_sil=8000:sp=occurrence:random_seed=2897368942:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.33/3.82 % (3108548)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=634035415:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.33/3.82 % (3108546)Instruction limit reached!
% 18.33/3.82 % (3108546)------------------------------
% 18.33/3.82 % (3108546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.82 % (3108546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.82 % (3108546)CaDiCaL version: 2.1.3
% 18.33/3.82 % (3108546)Termination reason: Instruction limit
% 18.33/3.82 % (3108546)Termination phase: Saturation
% 18.33/3.82 % (3108546)Time elapsed: 0.107 s
% 18.33/3.82 % (3108546)Peak memory usage: 89 MB
% 18.33/3.82 % (3108546)Instructions burned: 107 (million)
% 18.33/3.82 % (3108547)Instruction limit reached!
% 18.33/3.82 % (3108547)------------------------------
% 18.33/3.82 % (3108547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.82 % (3108547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.82 % (3108547)CaDiCaL version: 2.1.3
% 18.33/3.82 % (3108547)Termination reason: Instruction limit
% 18.33/3.82 % (3108547)Termination phase: Saturation
% 18.33/3.82 % (3108547)Time elapsed: 0.108 s
% 18.33/3.82 % (3108547)Peak memory usage: 88 MB
% 18.33/3.82 % (3108547)Instructions burned: 114 (million)
% 18.33/3.82 % (3108548)Instruction limit reached!
% 18.33/3.82 % (3108548)------------------------------
% 18.33/3.82 % (3108548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.82 % (3108548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.82 % (3108548)CaDiCaL version: 2.1.3
% 18.33/3.82 % (3108548)Termination reason: Instruction limit
% 18.33/3.82 % (3108548)Termination phase: Saturation
% 18.33/3.82 % (3108548)Time elapsed: 0.176 s
% 18.33/3.82 % (3108548)Peak memory usage: 89 MB
% 18.33/3.82 % (3108548)Instructions burned: 181 (million)
% 18.33/3.82 % (3108551)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=3696113006:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 18.33/3.82 % (3108551)Refutation not found, incomplete strategy
% 18.33/3.82 % (3108551)------------------------------
% 18.33/3.82 % (3108551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.33/3.82 % (3108551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.33/3.82 % (3108551)CaDiCaL version: 2.1.3
% 18.33/3.82 % (3108551)Termination reason: Refutation not found, incomplete strategy
% 18.33/3.82 % (3108551)Time elapsed: 0.002 s
% 18.33/3.82 % (3108551)Peak memory usage: 88 MB
% 18.33/3.82 % (3108559)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=150273360:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 21.38/4.29 % (3108558)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=775916697: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)
% 21.38/4.29 % (3108558)Refutation not found, incomplete strategy
% 21.38/4.29 % (3108558)------------------------------
% 21.38/4.29 % (3108558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108558)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108558)Termination reason: Refutation not found, incomplete strategy
% 21.38/4.29 % (3108558)Time elapsed: 0.002 s
% 21.38/4.29 % (3108558)Peak memory usage: 87 MB
% 21.38/4.29 % (3108559)Refutation not found, incomplete strategy
% 21.38/4.29 % (3108559)------------------------------
% 21.38/4.29 % (3108559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108559)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108559)Termination reason: Refutation not found, incomplete strategy
% 21.38/4.29 % (3108559)Time elapsed: 0.003 s
% 21.38/4.29 % (3108559)Peak memory usage: 88 MB
% 21.38/4.29 % (3108559)Instructions burned: 1 (million)
% 21.38/4.29 % (3108560)lrs+10_64_to=lpo:sil=8000:random_seed=1169588430:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 21.38/4.29 % (3108560)Instruction limit reached!
% 21.38/4.29 % (3108560)------------------------------
% 21.38/4.29 % (3108560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108560)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108560)Termination reason: Instruction limit
% 21.38/4.29 % (3108560)Termination phase: Saturation
% 21.38/4.29 % (3108560)Time elapsed: 0.062 s
% 21.38/4.29 % (3108560)Peak memory usage: 89 MB
% 21.38/4.29 % (3108560)Instructions burned: 128 (million)
% 21.38/4.29 % (3108551)------------------------------
% 21.38/4.29 % (3108551)------------------------------
% 21.38/4.29 % (3108565)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2378030166:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 21.38/4.29 % (3108558)------------------------------
% 21.38/4.29 % (3108558)------------------------------
% 21.38/4.29 % (3108559)------------------------------
% 21.38/4.29 % (3108559)------------------------------
% 21.38/4.29 % (3108565)Instruction limit reached!
% 21.38/4.29 % (3108565)------------------------------
% 21.38/4.29 % (3108565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108565)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108565)Termination reason: Instruction limit
% 21.38/4.29 % (3108565)Termination phase: Saturation
% 21.38/4.29 % (3108565)Time elapsed: 0.102 s
% 21.38/4.29 % (3108565)Peak memory usage: 90 MB
% 21.38/4.29 % (3108565)Instructions burned: 195 (million)
% 21.38/4.29 % (3108566)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2363319350:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 21.38/4.29 % (3108570)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2059646994:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 21.38/4.29 % (3108570)Refutation not found, incomplete strategy
% 21.38/4.29 % (3108570)------------------------------
% 21.38/4.29 % (3108570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108570)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108570)Termination reason: Refutation not found, incomplete strategy
% 21.38/4.29 % (3108570)Time elapsed: 0.001 s
% 21.38/4.29 % (3108570)Peak memory usage: 87 MB
% 21.38/4.29 % (3108568)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=876096464:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 21.38/4.29 % (3108569)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=725247368:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 21.38/4.29 % (3108566)Instruction limit reached!
% 21.38/4.29 % (3108566)------------------------------
% 21.38/4.29 % (3108566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108566)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108566)Termination reason: Instruction limit
% 21.38/4.29 % (3108566)Termination phase: Saturation
% 21.38/4.29 % (3108566)Time elapsed: 0.149 s
% 21.38/4.29 % (3108566)Peak memory usage: 91 MB
% 21.38/4.29 % (3108566)Instructions burned: 157 (million)
% 21.38/4.29 % (3108569)Instruction limit reached!
% 21.38/4.29 % (3108569)------------------------------
% 21.38/4.29 % (3108569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108569)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108569)Termination reason: Instruction limit
% 21.38/4.29 % (3108569)Termination phase: Saturation
% 21.38/4.29 % (3108569)Time elapsed: 0.093 s
% 21.38/4.29 % (3108569)Peak memory usage: 88 MB
% 21.38/4.29 % (3108569)Instructions burned: 107 (million)
% 21.38/4.29 % (3108570)------------------------------
% 21.38/4.29 % (3108570)------------------------------
% 21.38/4.29 % (3108575)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1957689940:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 21.38/4.29 % (3108576)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=503526124:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 21.38/4.29 % (3108577)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4282013905:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 21.38/4.29 % (3108577)Instruction limit reached!
% 21.38/4.29 % (3108577)------------------------------
% 21.38/4.29 % (3108577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108577)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108577)Termination reason: Instruction limit
% 21.38/4.29 % (3108577)Termination phase: Saturation
% 21.38/4.29 % (3108577)Time elapsed: 0.070 s
% 21.38/4.29 % (3108577)Peak memory usage: 90 MB
% 21.38/4.29 % (3108577)Instructions burned: 135 (million)
% 21.38/4.29 % (3108575)Instruction limit reached!
% 21.38/4.29 % (3108575)------------------------------
% 21.38/4.29 % (3108575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108575)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108575)Termination reason: Instruction limit
% 21.38/4.29 % (3108575)Termination phase: Saturation
% 21.38/4.29 % (3108575)Time elapsed: 0.239 s
% 21.38/4.29 % (3108575)Peak memory usage: 90 MB
% 21.38/4.29 % (3108575)Instructions burned: 243 (million)
% 21.38/4.29 % (3108581)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1465660613:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 21.38/4.29 % (3108582)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2016154071:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 21.38/4.29 % (3108581)Instruction limit reached!
% 21.38/4.29 % (3108581)------------------------------
% 21.38/4.29 % (3108581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108581)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108581)Termination reason: Instruction limit
% 21.38/4.29 % (3108581)Termination phase: Saturation
% 21.38/4.29 % (3108581)Time elapsed: 0.232 s
% 21.38/4.29 % (3108581)Peak memory usage: 92 MB
% 21.38/4.29 % (3108581)Instructions burned: 500 (million)
% 21.38/4.29 % (3108582)Instruction limit reached!
% 21.38/4.29 % (3108582)------------------------------
% 21.38/4.29 % (3108582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108582)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108582)Termination reason: Instruction limit
% 21.38/4.29 % (3108582)Termination phase: Saturation
% 21.38/4.29 % (3108582)Time elapsed: 0.222 s
% 21.38/4.29 % (3108582)Peak memory usage: 93 MB
% 21.38/4.29 % (3108582)Instructions burned: 191 (million)
% 21.38/4.29 % (3108585)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4136744155:i=264:kws=precedence:fsr=off_2976 on theBenchmark for (2976ds/264Mi)
% 21.38/4.29 % (3108568)First to succeed.
% 21.38/4.29 % (3108568)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3108538"
% 21.38/4.29 % (3108585)Instruction limit reached!
% 21.38/4.29 % (3108585)------------------------------
% 21.38/4.29 % (3108585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108585)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108585)Termination reason: Instruction limit
% 21.38/4.29 % (3108585)Termination phase: Saturation
% 21.38/4.29 % (3108585)Time elapsed: 0.124 s
% 21.38/4.29 % (3108585)Peak memory usage: 92 MB
% 21.38/4.29 % (3108585)Instructions burned: 264 (million)
% 21.38/4.29 % (3108586)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1673379542:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 21.38/4.29 % (3108586)Instruction limit reached!
% 21.38/4.29 % (3108586)------------------------------
% 21.38/4.29 % (3108586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.38/4.29 % (3108586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/4.29 % (3108586)CaDiCaL version: 2.1.3
% 21.38/4.29 % (3108586)Termination reason: Instruction limit
% 21.38/4.29 % (3108586)Termination phase: Saturation
% 21.38/4.29 % (3108586)Time elapsed: 0.141 s
% 21.38/4.29 % (3108586)Peak memory usage: 88 MB
% 21.38/4.29 % (3108586)Instructions burned: 156 (million)
% 21.38/4.29 % (3108588)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=2988247080:i=3256:kws=precedence:bd=preordered:av=off_2973 on theBenchmark for (2973ds/3256Mi)
% 21.38/4.29 % (3108568)Refutation found. Thanks to Tanya!
% 21.38/4.29 % SZS status Unsatisfiable for theBenchmark
% 21.38/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 22.28/4.67 % (3108568)------------------------------
% 22.28/4.67 % (3108568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.28/4.67 % (3108568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.28/4.67 % (3108568)CaDiCaL version: 2.1.3
% 22.28/4.67 % (3108568)Termination reason: Refutation
% 22.28/4.67 % (3108568)Time elapsed: 1.284 s
% 22.28/4.67 % (3108568)Peak memory usage: 131 MB
% 22.28/4.67 % (3108568)Instructions burned: 1221 (million)
% 22.28/4.67 % (3108568)------------------------------
% 22.28/4.67 % (3108568)------------------------------
% 22.28/4.67 % (3108538)Success in time 3.026 s
% 22.28/4.67 % Vampire exiting
%------------------------------------------------------------------------------