%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL339-3 : 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 : n017.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 11:52:01 AM UTC 2026
% Result : Unsatisfiable 21.99s 4.39s
% Output : Refutation 22.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 33 unt; 3 def)
% Number of atoms : 131 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 107 ( 53 ~; 51 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 119 !; 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(p,implies(q,r)),implies(p,implies(q,and(p,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(p),or(not(q),r))),or(not(p),or(not(q),not(or(not(p),not(r))))))),not(or(not(or(not(p),or(not(q),not(or(not(p),not(r)))))),or(not(p),or(not(q),r))))))),
inference(definition_unfolding,[],[f11,f12,f6,f6,f6,f6,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,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f18,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f19,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f22]) ).
fof(f26,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f14,f20]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f14,f21]) ).
fof(f29,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f27,f22]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f26,f14]) ).
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(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(f86,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f29,f33]) ).
fof(f87,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f29,f14]) ).
fof(f88,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))),
inference(resolution,[],[f29,f41]) ).
fof(f91,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f42,f22]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f42,f20]) ).
fof(f96,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,[],[f42,f21]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f94,f14]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X0,X3))))
| ~ theorem(or(not(X1),or(X2,X3))) ),
inference(resolution,[],[f103,f21]) ).
fof(f128,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f91,f48]) ).
fof(f132,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f128,f103]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f96,f14]) ).
fof(f199,plain,
! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) ),
inference(resolution,[],[f87,f25]) ).
fof(f201,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f199,f14]) ).
fof(f204,plain,
( ~ theorem(or(not(or(not(p),or(not(q),not(or(not(p),not(r)))))),or(not(p),or(not(q),r))))
| ~ theorem(or(not(or(not(p),or(not(q),r))),or(not(p),or(not(q),not(or(not(p),not(r))))))) ),
inference(resolution,[],[f201,f13]) ).
fof(f206,definition,
( spl0_1
<=> theorem(or(not(or(not(p),or(not(q),r))),or(not(p),or(not(q),not(or(not(p),not(r))))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f208,plain,
( ~ theorem(or(not(or(not(p),or(not(q),r))),or(not(p),or(not(q),not(or(not(p),not(r)))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,definition,
( spl0_2
<=> theorem(or(not(or(not(p),or(not(q),not(or(not(p),not(r)))))),or(not(p),or(not(q),r)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f212,plain,
( ~ theorem(or(not(or(not(p),or(not(q),not(or(not(p),not(r)))))),or(not(p),or(not(q),r))))
| spl0_2 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f204,f210,f206]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f139,f22]) ).
fof(f258,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[],[f60,f41]) ).
fof(f720,definition,
( spl0_10
<=> theorem(or(not(or(not(q),r)),or(not(p),or(not(q),not(or(not(p),not(r))))))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f721,plain,
( theorem(or(not(or(not(q),r)),or(not(p),or(not(q),not(or(not(p),not(r)))))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f722,plain,
( ~ theorem(or(not(or(not(q),r)),or(not(p),or(not(q),not(or(not(p),not(r)))))))
| spl0_10 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f724,plain,
( ~ theorem(or(not(r),or(not(p),not(or(not(p),not(r))))))
| spl0_10 ),
inference(resolution,[],[f722,f115]) ).
fof(f728,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f724,f88]) ).
fof(f729,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f1040,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,not(X1))),or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f86,f223]) ).
fof(f1216,plain,
( ~ theorem(or(not(not(p)),or(not(p),or(not(q),not(or(not(p),not(r)))))))
| ~ theorem(or(not(or(not(q),r)),or(not(p),or(not(q),not(or(not(p),not(r)))))))
| spl0_1 ),
inference(resolution,[],[f132,f208]) ).
fof(f1234,plain,
( ~ theorem(or(not(or(not(q),r)),or(not(p),or(not(q),not(or(not(p),not(r)))))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1216,f55]) ).
fof(f1236,plain,
( $false
| spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1234,f721]) ).
fof(f1237,plain,
( spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1238,plain,
( ~ theorem(or(not(or(not(q),not(or(not(p),not(r))))),or(not(q),r)))
| spl0_2 ),
inference(resolution,[],[f212,f26]) ).
fof(f1276,plain,
( ~ theorem(or(r,or(not(p),not(r))))
| spl0_2 ),
inference(resolution,[],[f1238,f1040]) ).
fof(f1284,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1276,f258]) ).
fof(f1285,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1284]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f213]) ).
cnf(s23,plain,
spl0_10,
inference(sat_conversion,[],[f729]) ).
cnf(s40,plain,
( spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s43,plain,
spl0_2,
inference(sat_conversion,[],[f1285]) ).
cnf(s44,plain,
spl0_1,
inference(rat,[],[s40,s23]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s1,s43,s44]) ).
fof(f1286,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL339-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n017.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 15:30:35 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 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
% 18.98/3.96 % (2741818)Input is clausal, will run a generic CNF schedule.
% 18.98/3.96 % (2741829)dis-21_1_sil=8000:lcm=predicate:random_seed=3742301051: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)
% 18.98/3.96 % (2741829)Instruction limit reached!
% 18.98/3.96 % (2741829)------------------------------
% 18.98/3.96 % (2741829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.96 % (2741829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.96 % (2741829)CaDiCaL version: 2.1.3
% 18.98/3.96 % (2741829)Termination reason: Instruction limit
% 18.98/3.96 % (2741829)Termination phase: Saturation
% 18.98/3.96 % (2741829)Time elapsed: 0.046 s
% 18.98/3.96 % (2741829)Peak memory usage: 87 MB
% 18.98/3.96 % (2741829)Instructions burned: 119 (million)
% 18.98/3.96 % (2741824)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4289754906:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.98/3.96 % (2741823)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=2451358097:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.98/3.96 % (2741825)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=210256282:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.98/3.96 % (2741827)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1289603557:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.98/3.96 % (2741826)lrs+10_1_sil=8000:sp=occurrence:random_seed=2143245398:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.98/3.96 % (2741828)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2100799046:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.98/3.96 % (2741826)Instruction limit reached!
% 18.98/3.96 % (2741826)------------------------------
% 18.98/3.96 % (2741826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.96 % (2741826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.96 % (2741826)CaDiCaL version: 2.1.3
% 18.98/3.96 % (2741826)Termination reason: Instruction limit
% 18.98/3.96 % (2741826)Termination phase: Saturation
% 18.98/3.96 % (2741826)Time elapsed: 0.109 s
% 18.98/3.96 % (2741826)Peak memory usage: 89 MB
% 18.98/3.96 % (2741826)Instructions burned: 108 (million)
% 18.98/3.96 % (2741827)Instruction limit reached!
% 18.98/3.96 % (2741827)------------------------------
% 18.98/3.96 % (2741827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.96 % (2741827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.96 % (2741827)CaDiCaL version: 2.1.3
% 18.98/3.96 % (2741827)Termination reason: Instruction limit
% 18.98/3.96 % (2741827)Termination phase: Saturation
% 18.98/3.96 % (2741827)Time elapsed: 0.110 s
% 18.98/3.96 % (2741827)Peak memory usage: 89 MB
% 18.98/3.96 % (2741827)Instructions burned: 115 (million)
% 18.98/3.96 % (2741828)Instruction limit reached!
% 18.98/3.96 % (2741828)------------------------------
% 18.98/3.96 % (2741828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.96 % (2741828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.96 % (2741828)CaDiCaL version: 2.1.3
% 18.98/3.96 % (2741828)Termination reason: Instruction limit
% 18.98/3.96 % (2741828)Termination phase: Saturation
% 18.98/3.96 % (2741828)Time elapsed: 0.175 s
% 18.98/3.96 % (2741828)Peak memory usage: 89 MB
% 18.98/3.96 % (2741828)Instructions burned: 180 (million)
% 18.98/3.96 % (2741833)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=1805689655:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 18.98/3.96 % (2741833)Refutation not found, incomplete strategy
% 18.98/3.96 % (2741833)------------------------------
% 18.98/3.96 % (2741833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.96 % (2741833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.96 % (2741833)CaDiCaL version: 2.1.3
% 18.98/3.96 % (2741833)Termination reason: Refutation not found, incomplete strategy
% 18.98/3.96 % (2741833)Time elapsed: 0.001 s
% 18.98/3.96 % (2741833)Peak memory usage: 88 MB
% 18.98/3.96 % (2741839)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3561947410:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 21.99/4.38 % (2741839)Refutation not found, incomplete strategy
% 21.99/4.38 % (2741839)------------------------------
% 21.99/4.38 % (2741839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.38 % (2741839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.38 % (2741839)CaDiCaL version: 2.1.3
% 21.99/4.38 % (2741839)Termination reason: Refutation not found, incomplete strategy
% 21.99/4.38 % (2741839)Time elapsed: 0.002 s
% 21.99/4.38 % (2741839)Peak memory usage: 88 MB
% 21.99/4.38 % (2741839)Instructions burned: 1 (million)
% 21.99/4.38 % (2741838)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3751030997:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 21.99/4.38 % (2741838)Refutation not found, incomplete strategy
% 21.99/4.38 % (2741838)------------------------------
% 21.99/4.38 % (2741838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.38 % (2741838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.38 % (2741838)CaDiCaL version: 2.1.3
% 21.99/4.38 % (2741838)Termination reason: Refutation not found, incomplete strategy
% 21.99/4.38 % (2741838)Time elapsed: 0.002 s
% 21.99/4.38 % (2741838)Peak memory usage: 87 MB
% 21.99/4.38 % (2741833)------------------------------
% 21.99/4.38 % (2741833)------------------------------
% 21.99/4.38 % (2741841)lrs+10_64_to=lpo:sil=8000:random_seed=2978155727:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 21.99/4.38 % (2741841)Instruction limit reached!
% 21.99/4.38 % (2741841)------------------------------
% 21.99/4.38 % (2741841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.38 % (2741841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.38 % (2741841)CaDiCaL version: 2.1.3
% 21.99/4.38 % (2741841)Termination reason: Instruction limit
% 21.99/4.38 % (2741841)Termination phase: Saturation
% 21.99/4.38 % (2741841)Time elapsed: 0.118 s
% 21.99/4.38 % (2741841)Peak memory usage: 89 MB
% 21.99/4.38 % (2741841)Instructions burned: 127 (million)
% 21.99/4.38 % (2741844)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=996841649:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 21.99/4.38 % (2741839)------------------------------
% 21.99/4.38 % (2741839)------------------------------
% 21.99/4.38 % (2741844)Instruction limit reached!
% 21.99/4.38 % (2741844)------------------------------
% 21.99/4.38 % (2741844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.38 % (2741844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.38 % (2741844)CaDiCaL version: 2.1.3
% 21.99/4.38 % (2741844)Termination reason: Instruction limit
% 21.99/4.38 % (2741844)Termination phase: Saturation
% 21.99/4.38 % (2741844)Time elapsed: 0.100 s
% 21.99/4.38 % (2741844)Peak memory usage: 89 MB
% 21.99/4.38 % (2741844)Instructions burned: 195 (million)
% 21.99/4.38 % (2741838)------------------------------
% 21.99/4.38 % (2741838)------------------------------
% 21.99/4.38 % (2741846)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=849477818:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 21.99/4.38 % (2741849)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=843567019:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 21.99/4.38 % (2741849)Instruction limit reached!
% 21.99/4.38 % (2741849)------------------------------
% 21.99/4.38 % (2741849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.38 % (2741849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.38 % (2741849)CaDiCaL version: 2.1.3
% 21.99/4.38 % (2741849)Termination reason: Instruction limit
% 21.99/4.38 % (2741849)Termination phase: Saturation
% 21.99/4.38 % (2741849)Time elapsed: 0.046 s
% 21.99/4.38 % (2741849)Peak memory usage: 89 MB
% 21.99/4.38 % (2741849)Instructions burned: 107 (million)
% 21.99/4.38 % (2741846)Instruction limit reached!
% 21.99/4.38 % (2741846)------------------------------
% 21.99/4.38 % (2741846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.38 % (2741846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.38 % (2741846)CaDiCaL version: 2.1.3
% 21.99/4.38 % (2741846)Termination reason: Instruction limit
% 21.99/4.39 % (2741846)Termination phase: Saturation
% 21.99/4.39 % (2741846)Time elapsed: 0.156 s
% 21.99/4.39 % (2741846)Peak memory usage: 91 MB
% 21.99/4.39 % (2741846)Instructions burned: 157 (million)
% 21.99/4.39 % (2741848)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=920804283:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 21.99/4.39 % (2741850)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=581898806:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 21.99/4.39 % (2741850)Refutation not found, incomplete strategy
% 21.99/4.39 % (2741850)------------------------------
% 21.99/4.39 % (2741850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.39 % (2741850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.39 % (2741850)CaDiCaL version: 2.1.3
% 21.99/4.39 % (2741850)Termination reason: Refutation not found, incomplete strategy
% 21.99/4.39 % (2741850)Time elapsed: 0.002 s
% 21.99/4.39 % (2741850)Peak memory usage: 87 MB
% 21.99/4.39 % (2741853)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1155655977:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 21.99/4.39 % (2741855)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1148778316:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 21.99/4.39 % (2741853)Instruction limit reached!
% 21.99/4.39 % (2741853)------------------------------
% 21.99/4.39 % (2741853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.39 % (2741853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.39 % (2741853)CaDiCaL version: 2.1.3
% 21.99/4.39 % (2741853)Termination reason: Instruction limit
% 21.99/4.39 % (2741853)Termination phase: Saturation
% 21.99/4.39 % (2741853)Time elapsed: 0.123 s
% 21.99/4.39 % (2741853)Peak memory usage: 90 MB
% 21.99/4.39 % (2741853)Instructions burned: 242 (million)
% 21.99/4.39 % (2741850)------------------------------
% 21.99/4.39 % (2741850)------------------------------
% 21.99/4.39 % (2741859)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=810796620:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 21.99/4.39 % (2741859)Instruction limit reached!
% 21.99/4.39 % (2741859)------------------------------
% 21.99/4.39 % (2741859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.39 % (2741859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.39 % (2741859)CaDiCaL version: 2.1.3
% 21.99/4.39 % (2741859)Termination reason: Instruction limit
% 21.99/4.39 % (2741859)Termination phase: Saturation
% 21.99/4.39 % (2741859)Time elapsed: 0.068 s
% 21.99/4.39 % (2741859)Peak memory usage: 89 MB
% 21.99/4.39 % (2741859)Instructions burned: 136 (million)
% 21.99/4.39 % (2741860)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4209074108:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 21.99/4.39 % (2741862)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3348652047:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 21.99/4.39 % (2741862)Instruction limit reached!
% 21.99/4.39 % (2741862)------------------------------
% 21.99/4.39 % (2741862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.39 % (2741862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.39 % (2741862)CaDiCaL version: 2.1.3
% 21.99/4.39 % (2741862)Termination reason: Instruction limit
% 21.99/4.39 % (2741862)Termination phase: Saturation
% 21.99/4.39 % (2741862)Time elapsed: 0.117 s
% 21.99/4.39 % (2741862)Peak memory usage: 92 MB
% 21.99/4.39 % (2741862)Instructions burned: 197 (million)
% 21.99/4.39 % (2741860)Instruction limit reached!
% 21.99/4.39 % (2741860)------------------------------
% 21.99/4.39 % (2741860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.39 % (2741860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.39 % (2741860)CaDiCaL version: 2.1.3
% 21.99/4.39 % (2741860)Termination reason: Instruction limit
% 21.99/4.39 % (2741860)Termination phase: Saturation
% 21.99/4.39 % (2741860)Time elapsed: 0.440 s
% 21.99/4.39 % (2741860)Peak memory usage: 92 MB
% 21.99/4.39 % (2741860)Instructions burned: 499 (million)
% 21.99/4.39 % (2741848)First to succeed.
% 21.99/4.39 % (2741848)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2741818"
% 21.99/4.39 % (2741865)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=688169479:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 21.99/4.39 % (2741866)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=732278019:cond=on:i=156:bs=on:gtg=exists_all:er=known_2974 on theBenchmark for (2974ds/156Mi)
% 21.99/4.39 % (2741866)Instruction limit reached!
% 21.99/4.39 % (2741866)------------------------------
% 21.99/4.39 % (2741866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.39 % (2741866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.39 % (2741866)CaDiCaL version: 2.1.3
% 21.99/4.39 % (2741866)Termination reason: Instruction limit
% 21.99/4.39 % (2741866)Termination phase: Saturation
% 21.99/4.39 % (2741866)Time elapsed: 0.147 s
% 21.99/4.39 % (2741866)Peak memory usage: 88 MB
% 21.99/4.39 % (2741866)Instructions burned: 156 (million)
% 21.99/4.39 % (2741865)Instruction limit reached!
% 21.99/4.39 % (2741865)------------------------------
% 21.99/4.39 % (2741865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.99/4.39 % (2741865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.99/4.39 % (2741865)CaDiCaL version: 2.1.3
% 21.99/4.39 % (2741865)Termination reason: Instruction limit
% 21.99/4.39 % (2741865)Termination phase: Saturation
% 21.99/4.39 % (2741865)Time elapsed: 0.239 s
% 21.99/4.39 % (2741865)Peak memory usage: 92 MB
% 21.99/4.39 % (2741865)Instructions burned: 265 (million)
% 21.99/4.39 % (2741848)Refutation found. Thanks to Tanya!
% 21.99/4.39 % SZS status Unsatisfiable for theBenchmark
% 21.99/4.39 % SZS output start Proof for theBenchmark
% See solution above
% 22.93/4.67 % (2741848)------------------------------
% 22.93/4.67 % (2741848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.93/4.67 % (2741848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.93/4.67 % (2741848)CaDiCaL version: 2.1.3
% 22.93/4.67 % (2741848)Termination reason: Refutation
% 22.93/4.67 % (2741848)Time elapsed: 1.354 s
% 22.93/4.67 % (2741848)Peak memory usage: 132 MB
% 22.93/4.67 % (2741848)Instructions burned: 1296 (million)
% 22.93/4.67 % (2741848)------------------------------
% 22.93/4.67 % (2741848)------------------------------
% 22.93/4.67 % (2741818)Success in time 3.131 s
% 22.93/4.67 % Vampire exiting
%------------------------------------------------------------------------------