%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL266-3 : 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 : n015.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 11:51:49 AM UTC 2026
% Result : Unsatisfiable 19.64s 3.89s
% Output : Refutation 21.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 95 ( 37 unt; 4 def)
% Number of atoms : 166 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 143 ( 72 ~; 67 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 149 !; 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(and(p,implies(q,r)),and(p,implies(not(r),not(q))))),
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(not(or(not(p),not(or(not(q),r))))),not(or(not(p),not(or(not(not(r)),not(q))))))),not(or(not(not(or(not(p),not(or(not(not(r)),not(q)))))),not(or(not(p),not(or(not(q),r))))))))),
inference(definition_unfolding,[],[f11,f12,f9,f6,f9,f6]) ).
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,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,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,f20]) ).
fof(f26,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f21,f14]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f22,f14]) ).
fof(f29,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f28,f20]) ).
fof(f30,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f28,f21]) ).
fof(f32,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f28,f23]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f26,f14]) ).
fof(f37,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f30,f14]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f33,f20]) ).
fof(f47,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(f49,plain,
! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) ),
inference(resolution,[],[f33,f21]) ).
fof(f52,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f33,f24]) ).
fof(f53,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,X1))),
inference(resolution,[],[f46,f20]) ).
fof(f58,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f46,f23]) ).
fof(f69,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f52,f58]) ).
fof(f76,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f69,f25]) ).
fof(f77,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f76,f33]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X3)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f37,f33]) ).
fof(f87,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f29,f14]) ).
fof(f91,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f47,f20]) ).
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,[],[f47,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(f123,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f91,f14]) ).
fof(f128,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f91,f52]) ).
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(f156,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f77,f25]) ).
fof(f205,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[],[f32,f46]) ).
fof(f225,plain,
! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(X1)
| ~ theorem(X0) ),
inference(resolution,[],[f87,f14]) ).
fof(f274,plain,
! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f225,f87]) ).
fof(f280,plain,
( ~ theorem(or(not(not(or(not(p),not(or(not(q),r))))),not(or(not(p),not(or(not(not(r)),not(q)))))))
| ~ theorem(or(not(not(or(not(p),not(or(not(not(r)),not(q)))))),not(or(not(p),not(or(not(q),r)))))) ),
inference(resolution,[],[f274,f13]) ).
fof(f282,definition,
( spl0_1
<=> theorem(or(not(not(or(not(p),not(or(not(not(r)),not(q)))))),not(or(not(p),not(or(not(q),r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f284,plain,
( ~ theorem(or(not(not(or(not(p),not(or(not(not(r)),not(q)))))),not(or(not(p),not(or(not(q),r))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,definition,
( spl0_2
<=> theorem(or(not(not(or(not(p),not(or(not(q),r))))),not(or(not(p),not(or(not(not(r)),not(q))))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f288,plain,
( ~ theorem(or(not(not(or(not(p),not(or(not(q),r))))),not(or(not(p),not(or(not(not(r)),not(q)))))))
| spl0_2 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f280,f286,f282]) ).
fof(f290,plain,
( ~ theorem(or(not(or(not(p),not(or(not(q),r)))),or(not(p),not(or(not(not(r)),not(q))))))
| spl0_1 ),
inference(resolution,[],[f284,f156]) ).
fof(f291,plain,
( ~ theorem(or(not(not(or(not(q),r))),not(or(not(not(r)),not(q)))))
| spl0_1 ),
inference(resolution,[],[f290,f26]) ).
fof(f294,plain,
( ~ theorem(or(not(or(not(not(r)),not(q))),or(not(q),r)))
| spl0_1 ),
inference(resolution,[],[f291,f156]) ).
fof(f311,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),or(X2,X0)))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f80,f20]) ).
fof(f386,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,not(X1))),or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f311,f46]) ).
fof(f464,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f123,f76]) ).
fof(f512,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X3,X2)))
| ~ theorem(X0) ),
inference(resolution,[],[f49,f14]) ).
fof(f551,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ theorem(X2) ),
inference(resolution,[],[f512,f205]) ).
fof(f557,definition,
( spl0_3
<=> ! [X2] : ~ theorem(X2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f558,plain,
( ! [X2] : ~ theorem(X2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,definition,
( spl0_4
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f561,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f562,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f551,f560,f557]) ).
fof(f564,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f558,f53]) ).
fof(f618,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f628,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(not(not(X1)),X0)))
| ~ spl0_4 ),
inference(resolution,[],[f561,f46]) ).
fof(f707,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f464,f25]) ).
fof(f718,plain,
! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f707,f46]) ).
fof(f745,plain,
( ~ theorem(or(not(not(not(r))),or(not(q),r)))
| ~ theorem(or(not(not(q)),or(not(q),r)))
| spl0_1 ),
inference(resolution,[],[f132,f294]) ).
fof(f758,plain,
( ~ theorem(or(not(not(not(r))),or(not(q),r)))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f745,f58]) ).
fof(f760,plain,
( ~ theorem(or(not(r),or(r,not(q))))
| spl0_1 ),
inference(resolution,[],[f758,f718]) ).
fof(f774,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f760,f58]) ).
fof(f775,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f777,plain,
( ~ theorem(or(not(or(not(p),not(or(not(not(r)),not(q))))),or(not(p),not(or(not(q),r)))))
| spl0_2 ),
inference(resolution,[],[f288,f156]) ).
fof(f809,plain,
( ~ theorem(or(not(or(not(q),r)),or(not(not(r)),not(q))))
| spl0_2 ),
inference(resolution,[],[f777,f386]) ).
fof(f816,plain,
( $false
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f809,f628]) ).
fof(f817,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f816]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f289]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f562]) ).
cnf(s19,plain,
~ spl0_3,
inference(sat_conversion,[],[f618]) ).
cnf(s23,plain,
spl0_1,
inference(sat_conversion,[],[f775]) ).
cnf(s26,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f817]) ).
cnf(s27,plain,
spl0_4,
inference(rat,[],[s2,s19]) ).
cnf(s28,plain,
spl0_2,
inference(rat,[],[s26,s27]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s28,s23]) ).
fof(f818,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL266-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:35:31 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 17.16/3.46 % (1794045)Input is clausal, will run a generic CNF schedule.
% 17.16/3.46 % (1794065)lrs+10_1_sil=8000:sp=occurrence:random_seed=217865319:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.16/3.46 % (1794065)Instruction limit reached!
% 17.16/3.46 % (1794065)------------------------------
% 17.16/3.46 % (1794065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.16/3.46 % (1794065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/3.46 % (1794065)CaDiCaL version: 2.1.3
% 17.16/3.46 % (1794065)Termination reason: Instruction limit
% 17.16/3.46 % (1794065)Termination phase: Saturation
% 17.16/3.46 % (1794065)Time elapsed: 0.043 s
% 17.16/3.46 % (1794065)Peak memory usage: 89 MB
% 17.16/3.46 % (1794065)Instructions burned: 107 (million)
% 17.16/3.46 % (1794063)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=21308609:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.16/3.46 % (1794064)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1476282518:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.16/3.46 % (1794062)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=3935659054:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.16/3.46 % (1794066)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1954714177:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.16/3.46 % (1794068)dis-21_1_sil=8000:lcm=predicate:random_seed=159617158:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 17.16/3.46 % (1794067)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=605684083:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.16/3.46 % (1794068)Instruction limit reached!
% 17.16/3.46 % (1794068)------------------------------
% 17.16/3.46 % (1794068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.16/3.46 % (1794068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/3.46 % (1794068)CaDiCaL version: 2.1.3
% 17.16/3.46 % (1794068)Termination reason: Instruction limit
% 17.16/3.46 % (1794068)Termination phase: Saturation
% 17.16/3.46 % (1794068)Time elapsed: 0.096 s
% 17.16/3.46 % (1794068)Peak memory usage: 87 MB
% 17.16/3.46 % (1794068)Instructions burned: 118 (million)
% 17.16/3.46 % (1794076)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=2026048607:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.16/3.46 % (1794076)Refutation not found, incomplete strategy
% 17.16/3.46 % (1794076)------------------------------
% 17.16/3.46 % (1794076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.16/3.46 % (1794076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/3.46 % (1794076)CaDiCaL version: 2.1.3
% 17.16/3.46 % (1794076)Termination reason: Refutation not found, incomplete strategy
% 17.16/3.46 % (1794076)Time elapsed: 0.001 s
% 17.16/3.46 % (1794076)Peak memory usage: 88 MB
% 17.16/3.46 % (1794066)Instruction limit reached!
% 17.16/3.46 % (1794066)------------------------------
% 17.16/3.46 % (1794066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.16/3.46 % (1794066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/3.46 % (1794066)CaDiCaL version: 2.1.3
% 17.16/3.46 % (1794066)Termination reason: Instruction limit
% 17.16/3.46 % (1794066)Termination phase: Saturation
% 17.16/3.46 % (1794066)Time elapsed: 0.113 s
% 17.16/3.46 % (1794066)Peak memory usage: 88 MB
% 17.16/3.46 % (1794066)Instructions burned: 114 (million)
% 17.16/3.46 % (1794067)Instruction limit reached!
% 17.16/3.46 % (1794067)------------------------------
% 17.16/3.46 % (1794067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.16/3.46 % (1794067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.16/3.46 % (1794067)CaDiCaL version: 2.1.3
% 17.16/3.46 % (1794067)Termination reason: Instruction limit
% 17.16/3.46 % (1794067)Termination phase: Saturation
% 17.16/3.46 % (1794067)Time elapsed: 0.186 s
% 17.16/3.46 % (1794067)Peak memory usage: 89 MB
% 17.16/3.46 % (1794067)Instructions burned: 180 (million)
% 17.16/3.46 % (1794076)------------------------------
% 17.16/3.46 % (1794076)------------------------------
% 19.64/3.89 % (1794086)lrs+10_64_to=lpo:sil=8000:random_seed=1731117089:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 19.64/3.89 % (1794084)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4169732200: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)
% 19.64/3.89 % (1794084)Refutation not found, incomplete strategy
% 19.64/3.89 % (1794084)------------------------------
% 19.64/3.89 % (1794084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794084)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794084)Termination reason: Refutation not found, incomplete strategy
% 19.64/3.89 % (1794084)Time elapsed: 0.002 s
% 19.64/3.89 % (1794084)Peak memory usage: 87 MB
% 19.64/3.89 % (1794085)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1031589469:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 19.64/3.89 % (1794085)Refutation not found, incomplete strategy
% 19.64/3.89 % (1794085)------------------------------
% 19.64/3.89 % (1794085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794085)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794085)Termination reason: Refutation not found, incomplete strategy
% 19.64/3.89 % (1794085)Time elapsed: 0.002 s
% 19.64/3.89 % (1794085)Peak memory usage: 88 MB
% 19.64/3.89 % (1794085)Instructions burned: 1 (million)
% 19.64/3.89 % (1794086)Instruction limit reached!
% 19.64/3.89 % (1794086)------------------------------
% 19.64/3.89 % (1794086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794086)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794086)Termination reason: Instruction limit
% 19.64/3.89 % (1794086)Termination phase: Saturation
% 19.64/3.89 % (1794086)Time elapsed: 0.074 s
% 19.64/3.89 % (1794086)Peak memory usage: 89 MB
% 19.64/3.89 % (1794086)Instructions burned: 128 (million)
% 19.64/3.89 % (1794087)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=301876148:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 19.64/3.89 % (1794091)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1250442256:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 19.64/3.89 % (1794091)Instruction limit reached!
% 19.64/3.89 % (1794091)------------------------------
% 19.64/3.89 % (1794091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794091)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794091)Termination reason: Instruction limit
% 19.64/3.89 % (1794091)Termination phase: Saturation
% 19.64/3.89 % (1794091)Time elapsed: 0.087 s
% 19.64/3.89 % (1794091)Peak memory usage: 91 MB
% 19.64/3.89 % (1794091)Instructions burned: 159 (million)
% 19.64/3.89 % (1794085)------------------------------
% 19.64/3.89 % (1794085)------------------------------
% 19.64/3.89 % (1794084)------------------------------
% 19.64/3.89 % (1794084)------------------------------
% 19.64/3.89 % (1794087)Instruction limit reached!
% 19.64/3.89 % (1794087)------------------------------
% 19.64/3.89 % (1794087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794087)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794087)Termination reason: Instruction limit
% 19.64/3.89 % (1794087)Termination phase: Saturation
% 19.64/3.89 % (1794087)Time elapsed: 0.207 s
% 19.64/3.89 % (1794087)Peak memory usage: 89 MB
% 19.64/3.89 % (1794087)Instructions burned: 194 (million)
% 19.64/3.89 % (1794098)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2259538293:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 19.64/3.89 % (1794098)Refutation not found, incomplete strategy
% 19.64/3.89 % (1794098)------------------------------
% 19.64/3.89 % (1794098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794098)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794098)Termination reason: Refutation not found, incomplete strategy
% 19.64/3.89 % (1794098)Time elapsed: 0.001 s
% 19.64/3.89 % (1794098)Peak memory usage: 87 MB
% 19.64/3.89 % (1794096)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2863529737:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 19.64/3.89 % (1794097)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=2129774307:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 19.64/3.89 % (1794099)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=89958944:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 19.64/3.89 % (1794097)Instruction limit reached!
% 19.64/3.89 % (1794097)------------------------------
% 19.64/3.89 % (1794097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794097)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794097)Termination reason: Instruction limit
% 19.64/3.89 % (1794097)Termination phase: Saturation
% 19.64/3.89 % (1794097)Time elapsed: 0.097 s
% 19.64/3.89 % (1794097)Peak memory usage: 88 MB
% 19.64/3.89 % (1794097)Instructions burned: 107 (million)
% 19.64/3.89 % (1794098)------------------------------
% 19.64/3.89 % (1794098)------------------------------
% 19.64/3.89 % (1794099)Instruction limit reached!
% 19.64/3.89 % (1794099)------------------------------
% 19.64/3.89 % (1794099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794099)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794099)Termination reason: Instruction limit
% 19.64/3.89 % (1794099)Termination phase: Saturation
% 19.64/3.89 % (1794099)Time elapsed: 0.253 s
% 19.64/3.89 % (1794099)Peak memory usage: 90 MB
% 19.64/3.89 % (1794099)Instructions burned: 242 (million)
% 19.64/3.89 % (1794104)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3742518311:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 19.64/3.89 % (1794105)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2207629346:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 19.64/3.89 % (1794105)Instruction limit reached!
% 19.64/3.89 % (1794105)------------------------------
% 19.64/3.89 % (1794105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794105)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794105)Termination reason: Instruction limit
% 19.64/3.89 % (1794105)Termination phase: Saturation
% 19.64/3.89 % (1794105)Time elapsed: 0.071 s
% 19.64/3.89 % (1794105)Peak memory usage: 89 MB
% 19.64/3.89 % (1794105)Instructions burned: 134 (million)
% 19.64/3.89 % (1794106)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=723533037:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 19.64/3.89 % (1794109)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1344292765:i=191:fgj=on:bd=all_2982 on theBenchmark for (2982ds/191Mi)
% 19.64/3.89 % (1794109)Instruction limit reached!
% 19.64/3.89 % (1794109)------------------------------
% 19.64/3.89 % (1794109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794109)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794109)Termination reason: Instruction limit
% 19.64/3.89 % (1794109)Termination phase: Saturation
% 19.64/3.89 % (1794109)Time elapsed: 0.111 s
% 19.64/3.89 % (1794109)Peak memory usage: 93 MB
% 19.64/3.89 % (1794109)Instructions burned: 192 (million)
% 19.64/3.89 % (1794112)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2955494480:i=264:kws=precedence:fsr=off_2978 on theBenchmark for (2978ds/264Mi)
% 19.64/3.89 % (1794106)Instruction limit reached!
% 19.64/3.89 % (1794106)------------------------------
% 19.64/3.89 % (1794106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794106)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794106)Termination reason: Instruction limit
% 19.64/3.89 % (1794106)Termination phase: Saturation
% 19.64/3.89 % (1794106)Time elapsed: 0.496 s
% 19.64/3.89 % (1794106)Peak memory usage: 93 MB
% 19.64/3.89 % (1794106)Instructions burned: 501 (million)
% 19.64/3.89 % (1794096)First to succeed.
% 19.64/3.89 % (1794096)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1794045"
% 19.64/3.89 % (1794112)Instruction limit reached!
% 19.64/3.89 % (1794112)------------------------------
% 19.64/3.89 % (1794112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794112)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794112)Termination reason: Instruction limit
% 19.64/3.89 % (1794112)Termination phase: Saturation
% 19.64/3.89 % (1794112)Time elapsed: 0.137 s
% 19.64/3.89 % (1794112)Peak memory usage: 92 MB
% 19.64/3.89 % (1794112)Instructions burned: 269 (million)
% 19.64/3.89 % (1794120)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=2474200942:i=3256:kws=precedence:bd=preordered:av=off_2975 on theBenchmark for (2975ds/3256Mi)
% 19.64/3.89 % (1794118)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=110026554:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 19.64/3.89 % (1794118)Instruction limit reached!
% 19.64/3.89 % (1794118)------------------------------
% 19.64/3.89 % (1794118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.64/3.89 % (1794118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.89 % (1794118)CaDiCaL version: 2.1.3
% 19.64/3.89 % (1794118)Termination reason: Instruction limit
% 19.64/3.89 % (1794118)Termination phase: Saturation
% 19.64/3.89 % (1794118)Time elapsed: 0.150 s
% 19.64/3.89 % (1794118)Peak memory usage: 88 MB
% 19.64/3.89 % (1794118)Instructions burned: 156 (million)
% 19.64/3.89 % (1794096)Refutation found. Thanks to Tanya!
% 19.64/3.89 % SZS status Unsatisfiable for theBenchmark
% 19.64/3.89 % SZS output start Proof for theBenchmark
% See solution above
% 21.15/4.20 % (1794096)------------------------------
% 21.15/4.20 % (1794096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.20 % (1794096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.20 % (1794096)CaDiCaL version: 2.1.3
% 21.15/4.20 % (1794096)Termination reason: Refutation
% 21.15/4.20 % (1794096)Time elapsed: 1.192 s
% 21.15/4.20 % (1794096)Peak memory usage: 130 MB
% 21.15/4.20 % (1794096)Instructions burned: 1144 (million)
% 21.15/4.20 % (1794096)------------------------------
% 21.15/4.20 % (1794096)------------------------------
% 21.15/4.20 % (1794045)Success in time 2.871 s
% 21.15/4.20 % Vampire exiting
%------------------------------------------------------------------------------