%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% 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 11:51:47 AM UTC 2026
% Result : Unsatisfiable 13.14s 3.17s
% Output : Refutation 14.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 25 unt; 6 def)
% Number of atoms : 168 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 174 ( 89 ~; 82 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 142 ( 0 sgn 142 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(not(not(implies(p,p)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_not_not_implies) ).
fof(f6,definition,
sF0 = implies(p,p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
implies(p,p) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f5,f11,f9,f7]) ).
fof(f14,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f17,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f17,f1]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f24,f2]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f24,f17]) ).
fof(f30,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f24,f3]) ).
fof(f32,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f30,f4]) ).
fof(f33,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[],[f30,f17]) ).
fof(f40,plain,
is_a_theorem(sF0),
inference(superposition,[],[f32,f7]) ).
fof(f44,plain,
! [X0] :
( is_a_theorem(implies(sF1,X0))
| ~ is_a_theorem(sF0) ),
inference(superposition,[],[f14,f9]) ).
fof(f54,plain,
! [X0] : is_a_theorem(implies(sF1,X0)),
inference(forward_subsumption_resolution,[],[f44,f40]) ).
fof(f65,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f29,f4]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f29,f2]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f29,f17]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) ),
inference(resolution,[],[f28,f1]) ).
fof(f97,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f65,f30]) ).
fof(f104,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f97,f14]) ).
fof(f105,plain,
! [X0] :
( ~ is_a_theorem(implies(sF1,not(X0)))
| is_a_theorem(implies(X0,sF0)) ),
inference(superposition,[],[f97,f9]) ).
fof(f109,plain,
! [X0] : is_a_theorem(implies(X0,sF0)),
inference(forward_subsumption_resolution,[],[f105,f54]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f104,f29]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) ),
inference(resolution,[],[f66,f30]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f67,f3]) ).
fof(f162,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f142,f32]) ).
fof(f177,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f33,f1]) ).
fof(f189,plain,
! [X0] :
( ~ is_a_theorem(implies(sF0,X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f177,f109]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f113,f4]) ).
fof(f342,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f328,f3]) ).
fof(f366,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f342,f328]) ).
fof(f392,definition,
( spl3_8
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f393,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f366,f142]) ).
fof(f412,definition,
( spl3_9
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f413,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,plain,
spl3_9,
inference(avatar_split_clause,[],[f395,f412]) ).
fof(f455,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(X0,implies(X3,X2))) )
| ~ spl3_9 ),
inference(resolution,[],[f413,f24]) ).
fof(f456,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) )
| ~ spl3_9 ),
inference(resolution,[],[f413,f1]) ).
fof(f463,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))
| ~ spl3_9 ),
inference(resolution,[],[f456,f162]) ).
fof(f480,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X0,implies(X2,X3))) )
| ~ spl3_9 ),
inference(resolution,[],[f455,f28]) ).
fof(f485,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1))))
| ~ spl3_9 ),
inference(resolution,[],[f455,f2]) ).
fof(f586,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))
| ~ spl3_9 ),
inference(resolution,[],[f463,f128]) ).
fof(f603,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(not(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_9 ),
inference(resolution,[],[f586,f24]) ).
fof(f639,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X2),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_9 ),
inference(resolution,[],[f603,f480]) ).
fof(f642,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl3_9 ),
inference(resolution,[],[f603,f2]) ).
fof(f645,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
| ~ spl3_9 ),
inference(resolution,[],[f603,f485]) ).
fof(f733,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),implies(X1,X0)))
| ~ spl3_9 ),
inference(resolution,[],[f639,f3]) ).
fof(f743,plain,
( $false
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f733,f393]) ).
fof(f744,plain,
( ~ spl3_8
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f750,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl3_9 ),
inference(resolution,[],[f645,f328]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) )
| ~ spl3_9 ),
inference(resolution,[],[f750,f75]) ).
fof(f789,definition,
( spl3_11
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f790,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f791,plain,
( spl3_11
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f770,f412,f392,f789]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_11 ),
inference(resolution,[],[f790,f1]) ).
fof(f880,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f861,f642]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f880,f29]) ).
fof(f918,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1)))
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f903,f4]) ).
fof(f969,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f918,f30]) ).
fof(f1000,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f969,f97]) ).
fof(f1032,plain,
( is_a_theorem(not(not(sF0)))
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f1000,f189]) ).
fof(f1036,plain,
( is_a_theorem(not(sF1))
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f1032,f9]) ).
fof(f1037,plain,
( is_a_theorem(sF2)
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f1036,f11]) ).
fof(f1038,plain,
( $false
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f1037,f12]) ).
fof(f1039,plain,
( ~ spl3_9
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
cnf(s8,plain,
spl3_9,
inference(sat_conversion,[],[f415]) ).
cnf(s10,plain,
( ~ spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f744]) ).
cnf(s13,plain,
( spl3_8
| ~ spl3_9
| spl3_11 ),
inference(sat_conversion,[],[f791]) ).
cnf(s14,plain,
( ~ spl3_9
| ~ spl3_11 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s15,plain,
~ spl3_11,
inference(rat,[],[s14,s8]) ).
cnf(s16,plain,
spl3_8,
inference(rat,[],[s13,s15,s8]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s10,s8,s16]) ).
fof(f1040,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 % Computer : n006.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Sun Sep 27 15:31:10 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.54 Running first-order theorem proving
% 0.27/0.54 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
% 13.14/3.16 % (3106344)Input is clausal, will run a generic CNF schedule.
% 13.14/3.16 % (3106353)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=283621104:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.14/3.16 % (3106353)Instruction limit reached!
% 13.14/3.16 % (3106353)------------------------------
% 13.14/3.16 % (3106353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.16 % (3106353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.16 % (3106353)CaDiCaL version: 2.1.3
% 13.14/3.16 % (3106353)Termination reason: Instruction limit
% 13.14/3.16 % (3106353)Termination phase: Saturation
% 13.14/3.16 % (3106353)Time elapsed: 0.054 s
% 13.14/3.16 % (3106353)Peak memory usage: 88 MB
% 13.14/3.16 % (3106353)Instructions burned: 115 (million)
% 13.14/3.16 % (3106349)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=142040459:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.14/3.16 % (3106350)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1450141220:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.14/3.16 % (3106355)dis-21_1_sil=8000:lcm=predicate:random_seed=2844904995: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)
% 13.14/3.16 % (3106351)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2208033529:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.14/3.16 % (3106352)lrs+10_1_sil=8000:sp=occurrence:random_seed=2651476116:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.14/3.16 % (3106354)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2739634639:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.14/3.16 % (3106355)Instruction limit reached!
% 13.14/3.16 % (3106355)------------------------------
% 13.14/3.16 % (3106355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.16 % (3106355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.16 % (3106355)CaDiCaL version: 2.1.3
% 13.14/3.16 % (3106355)Termination reason: Instruction limit
% 13.14/3.16 % (3106355)Termination phase: Saturation
% 13.14/3.16 % (3106355)Time elapsed: 0.103 s
% 13.14/3.16 % (3106355)Peak memory usage: 88 MB
% 13.14/3.16 % (3106355)Instructions burned: 118 (million)
% 13.14/3.16 % (3106352)Instruction limit reached!
% 13.14/3.16 % (3106352)------------------------------
% 13.14/3.16 % (3106352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.16 % (3106352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.16 % (3106352)CaDiCaL version: 2.1.3
% 13.14/3.16 % (3106352)Termination reason: Instruction limit
% 13.14/3.16 % (3106352)Termination phase: Saturation
% 13.14/3.16 % (3106352)Time elapsed: 0.110 s
% 13.14/3.16 % (3106352)Peak memory usage: 88 MB
% 13.14/3.16 % (3106352)Instructions burned: 108 (million)
% 13.14/3.16 % (3106354)Instruction limit reached!
% 13.14/3.16 % (3106354)------------------------------
% 13.14/3.16 % (3106354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.16 % (3106354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.16 % (3106354)CaDiCaL version: 2.1.3
% 13.14/3.16 % (3106354)Termination reason: Instruction limit
% 13.14/3.16 % (3106354)Termination phase: Saturation
% 13.14/3.16 % (3106354)Time elapsed: 0.181 s
% 13.14/3.16 % (3106354)Peak memory usage: 89 MB
% 13.14/3.16 % (3106354)Instructions burned: 180 (million)
% 13.14/3.16 % (3106357)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=1531676736:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.14/3.16 % (3106357)Refutation not found, incomplete strategy
% 13.14/3.16 % (3106357)------------------------------
% 13.14/3.16 % (3106357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.16 % (3106357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.16 % (3106357)CaDiCaL version: 2.1.3
% 13.14/3.16 % (3106357)Termination reason: Refutation not found, incomplete strategy
% 13.14/3.16 % (3106357)Time elapsed: 0.001 s
% 13.14/3.16 % (3106357)Peak memory usage: 87 MB
% 13.14/3.16 % (3106364)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2935319563: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)
% 13.14/3.16 % (3106365)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3766664840:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 13.14/3.16 % (3106365)Refutation not found, incomplete strategy
% 13.14/3.16 % (3106365)------------------------------
% 13.14/3.16 % (3106365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.16 % (3106365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.16 % (3106365)CaDiCaL version: 2.1.3
% 13.14/3.16 % (3106365)Termination reason: Refutation not found, incomplete strategy
% 13.14/3.16 % (3106365)Time elapsed: 0.001 s
% 13.14/3.16 % (3106365)Peak memory usage: 87 MB
% 13.14/3.16 % (3106357)------------------------------
% 13.14/3.16 % (3106357)------------------------------
% 13.14/3.16 % (3106366)lrs+10_64_to=lpo:sil=8000:random_seed=3625899628:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 13.14/3.16 % (3106364)Instruction limit reached!
% 13.14/3.17 % (3106364)------------------------------
% 13.14/3.17 % (3106364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.17 % (3106364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.17 % (3106364)CaDiCaL version: 2.1.3
% 13.14/3.17 % (3106364)Termination reason: Instruction limit
% 13.14/3.17 % (3106364)Termination phase: Saturation
% 13.14/3.17 % (3106364)Time elapsed: 0.163 s
% 13.14/3.17 % (3106364)Peak memory usage: 89 MB
% 13.14/3.17 % (3106364)Instructions burned: 190 (million)
% 13.14/3.17 % (3106366)Instruction limit reached!
% 13.14/3.17 % (3106366)------------------------------
% 13.14/3.17 % (3106366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.17 % (3106366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.17 % (3106366)CaDiCaL version: 2.1.3
% 13.14/3.17 % (3106366)Termination reason: Instruction limit
% 13.14/3.17 % (3106366)Termination phase: Saturation
% 13.14/3.17 % (3106366)Time elapsed: 0.120 s
% 13.14/3.17 % (3106366)Peak memory usage: 88 MB
% 13.14/3.17 % (3106366)Instructions burned: 126 (million)
% 13.14/3.17 % (3106370)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3802751064:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 13.14/3.17 % (3106370)Instruction limit reached!
% 13.14/3.17 % (3106370)------------------------------
% 13.14/3.17 % (3106370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.17 % (3106370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.17 % (3106370)CaDiCaL version: 2.1.3
% 13.14/3.17 % (3106370)Termination reason: Instruction limit
% 13.14/3.17 % (3106370)Termination phase: Saturation
% 13.14/3.17 % (3106370)Time elapsed: 0.105 s
% 13.14/3.17 % (3106370)Peak memory usage: 90 MB
% 13.14/3.17 % (3106370)Instructions burned: 195 (million)
% 13.14/3.17 % (3106365)------------------------------
% 13.14/3.17 % (3106365)------------------------------
% 13.14/3.17 % (3106372)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2844093529:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 13.14/3.17 % (3106373)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1106311061:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 13.14/3.17 % (3106375)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=55618512:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 13.14/3.17 % (3106372)Instruction limit reached!
% 13.14/3.17 % (3106372)------------------------------
% 13.14/3.17 % (3106372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.17 % (3106372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.17 % (3106372)CaDiCaL version: 2.1.3
% 13.14/3.17 % (3106372)Termination reason: Instruction limit
% 13.14/3.17 % (3106372)Termination phase: Saturation
% 13.14/3.17 % (3106372)Time elapsed: 0.157 s
% 13.14/3.17 % (3106372)Peak memory usage: 90 MB
% 13.14/3.17 % (3106372)Instructions burned: 158 (million)
% 13.14/3.17 % (3106375)Instruction limit reached!
% 13.14/3.17 % (3106375)------------------------------
% 13.14/3.17 % (3106375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.17 % (3106375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.17 % (3106375)CaDiCaL version: 2.1.3
% 13.14/3.17 % (3106375)Termination reason: Instruction limit
% 13.14/3.17 % (3106375)Termination phase: Saturation
% 13.14/3.17 % (3106375)Time elapsed: 0.048 s
% 13.14/3.17 % (3106375)Peak memory usage: 88 MB
% 13.14/3.17 % (3106375)Instructions burned: 107 (million)
% 13.14/3.17 % (3106376)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=292182698:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 13.14/3.17 % (3106376)Refutation not found, incomplete strategy
% 13.14/3.17 % (3106376)------------------------------
% 13.14/3.17 % (3106376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.17 % (3106376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.17 % (3106376)CaDiCaL version: 2.1.3
% 13.14/3.17 % (3106376)Termination reason: Refutation not found, incomplete strategy
% 13.14/3.17 % (3106376)Time elapsed: 0.001 s
% 13.14/3.17 % (3106376)Peak memory usage: 87 MB
% 13.14/3.17 % (3106349)First to succeed.
% 13.14/3.17 % (3106349)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3106344"
% 13.14/3.17 % (3106381)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=187013977:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 13.14/3.17 % (3106380)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1816392007:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 13.14/3.17 % (3106376)------------------------------
% 13.14/3.17 % (3106376)------------------------------
% 13.14/3.17 % (3106350)Also succeeded, but the first one will report.
% 13.14/3.17 % (3106380)Instruction limit reached!
% 13.14/3.17 % (3106380)------------------------------
% 13.14/3.17 % (3106380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.14/3.17 % (3106380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/3.17 % (3106380)CaDiCaL version: 2.1.3
% 13.14/3.17 % (3106380)Termination reason: Instruction limit
% 13.14/3.17 % (3106380)Termination phase: Saturation
% 13.14/3.17 % (3106380)Time elapsed: 0.250 s
% 13.14/3.17 % (3106380)Peak memory usage: 89 MB
% 13.14/3.17 % (3106380)Instructions burned: 242 (million)
% 13.14/3.17 % (3106349)Refutation found. Thanks to Tanya!
% 13.14/3.17 % SZS status Unsatisfiable for theBenchmark
% 13.14/3.17 % SZS output start Proof for theBenchmark
% See solution above
% 14.52/3.55 % (3106349)------------------------------
% 14.52/3.55 % (3106349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.52/3.55 % (3106349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.52/3.55 % (3106349)CaDiCaL version: 2.1.3
% 14.52/3.55 % (3106349)Termination reason: Refutation
% 14.52/3.55 % (3106349)Time elapsed: 1.207 s
% 14.52/3.55 % (3106349)Peak memory usage: 130 MB
% 14.52/3.55 % (3106349)Instructions burned: 1143 (million)
% 14.52/3.55 % (3106349)------------------------------
% 14.52/3.55 % (3106349)------------------------------
% 14.52/3.55 % (3106344)Success in time 1.906 s
% 14.52/3.55 % Vampire exiting
%------------------------------------------------------------------------------