%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL015-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:50:55 AM UTC 2026
% Result : Unsatisfiable 11.59s 2.53s
% Output : Refutation 12.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 9
% Syntax : Number of formulae : 98 ( 52 unt; 6 def)
% Number of atoms : 154 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 115 ( 59 ~; 55 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 193 ( 0 sgn 193 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yrm) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wn) ).
fof(f4,definition,
sF0 = equivalent(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
equivalent(b,c) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = equivalent(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
equivalent(a,sF0) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = equivalent(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
equivalent(a,b) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = equivalent(c,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
equivalent(c,sF2) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = equivalent(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
equivalent(sF1,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f3,f13,f11,f9,f7,f5]) ).
fof(f15,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1,f2]) ).
fof(f16,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f15,f1]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(resolution,[],[f16,f1]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X3,equivalent(equivalent(X2,X3),X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0) ),
inference(resolution,[],[f64,f2]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f82,f15]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f91,f2]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X0),X2))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f91,f15]) ).
fof(f114,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),X2),X1)),
inference(resolution,[],[f98,f2]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X0,X1),X2)),X2))
| is_a_theorem(X0) ),
inference(resolution,[],[f99,f2]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f122,f16]) ).
fof(f160,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f114,f136]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(resolution,[],[f160,f98]) ).
fof(f182,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X1),X2)),
inference(resolution,[],[f170,f2]) ).
fof(f186,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
inference(resolution,[],[f170,f114]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X1,X2))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f186,f91]) ).
fof(f221,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f208,f186]) ).
fof(f233,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(resolution,[],[f221,f170]) ).
fof(f238,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X1,X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f233,f99]) ).
fof(f247,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1)),
inference(resolution,[],[f238,f2]) ).
fof(f249,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f238,f160]) ).
fof(f261,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(resolution,[],[f247,f170]) ).
fof(f284,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(resolution,[],[f249,f233]) ).
fof(f290,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X2,X1))),
inference(resolution,[],[f249,f2]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f290,f99]) ).
fof(f317,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(resolution,[],[f284,f82]) ).
fof(f331,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(resolution,[],[f317,f290]) ).
fof(f356,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(resolution,[],[f331,f249]) ).
fof(f367,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(resolution,[],[f356,f170]) ).
fof(f374,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(resolution,[],[f356,f317]) ).
fof(f404,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f374,f91]) ).
fof(f543,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X0,X2),X1)))),
inference(resolution,[],[f301,f182]) ).
fof(f587,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X2),X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f543,f1]) ).
fof(f603,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X2),X1)) ),
inference(resolution,[],[f587,f208]) ).
fof(f635,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f603,f587]) ).
fof(f636,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f603,f15]) ).
fof(f683,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f635,f1]) ).
fof(f716,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X1),X3))))
| is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
inference(resolution,[],[f683,f2]) ).
fof(f736,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X2,X1),X0))),
inference(resolution,[],[f716,f186]) ).
fof(f739,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),equivalent(X2,X0))),
inference(resolution,[],[f716,f367]) ).
fof(f756,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X2,X1))),
inference(resolution,[],[f736,f301]) ).
fof(f845,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X2)))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f756,f91]) ).
fof(f917,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f636,f98]) ).
fof(f976,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f917,f587]) ).
fof(f994,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f976,f845]) ).
fof(f1073,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))
| is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X0))) ),
inference(resolution,[],[f994,f716]) ).
fof(f1137,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X0)),X2))),
inference(resolution,[],[f1073,f247]) ).
fof(f1213,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),X2))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1137,f91]) ).
fof(f1228,plain,
! [X0] : is_a_theorem(equivalent(equivalent(b,X0),equivalent(equivalent(X0,sF2),a))),
inference(superposition,[],[f1137,f9]) ).
fof(f1267,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(sF3,a))),
inference(superposition,[],[f1228,f11]) ).
fof(f1268,plain,
is_a_theorem(equivalent(sF0,equivalent(sF3,a))),
inference(forward_demodulation,[],[f1267,f5]) ).
fof(f1323,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X0)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1213,f404]) ).
fof(f1764,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X2,equivalent(X1,X2)))),
inference(resolution,[],[f739,f1073]) ).
fof(f1846,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X2,equivalent(X2,X0)))),
inference(resolution,[],[f1764,f1323]) ).
fof(f1979,definition,
( spl5_19
<=> is_a_theorem(equivalent(sF3,sF1)) ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
fof(f1980,plain,
( ~ is_a_theorem(equivalent(sF3,sF1))
| spl5_19 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f1981,plain,
( is_a_theorem(equivalent(sF3,sF1))
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f2062,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X2,X0)))
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(resolution,[],[f1846,f91]) ).
fof(f2088,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X0)),X1),equivalent(X2,X2))),
inference(resolution,[],[f2062,f2]) ).
fof(f2103,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X2,equivalent(X0,X2)))),
inference(resolution,[],[f2088,f301]) ).
fof(f2151,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X2)),equivalent(X1,X0))),
inference(resolution,[],[f2103,f716]) ).
fof(f2390,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),equivalent(X2,X2)))),
inference(resolution,[],[f2151,f249]) ).
fof(f2458,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X1,X0)),X2))),
inference(resolution,[],[f2390,f716]) ).
fof(f2518,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,equivalent(X1,X0)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2458,f1]) ).
fof(f2554,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X1,X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2518,f317]) ).
fof(f2604,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| is_a_theorem(equivalent(equivalent(X3,X3),equivalent(X2,X0))) ),
inference(resolution,[],[f2554,f716]) ).
fof(f2618,plain,
! [X0] :
( is_a_theorem(equivalent(equivalent(X0,X0),sF4))
| ~ is_a_theorem(equivalent(sF3,sF1)) ),
inference(superposition,[],[f2554,f13]) ).
fof(f2619,plain,
( ! [X0] : is_a_theorem(equivalent(equivalent(X0,X0),sF4))
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f2618,f1981]) ).
fof(f2634,plain,
( ! [X0] :
( ~ is_a_theorem(equivalent(X0,X0))
| is_a_theorem(sF4) )
| ~ spl5_19 ),
inference(resolution,[],[f2619,f1]) ).
fof(f2641,plain,
( ! [X0] : ~ is_a_theorem(equivalent(X0,X0))
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f2634,f14]) ).
fof(f2644,plain,
( $false
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f2641,f221]) ).
fof(f2645,plain,
~ spl5_19,
inference(avatar_contradiction_clause,[],[f2644]) ).
fof(f2652,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(equivalent(X1,X2),X2),X1))),
inference(resolution,[],[f2604,f261]) ).
fof(f2695,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(equivalent(X1,X2),X2))),
inference(resolution,[],[f2652,f603]) ).
fof(f5380,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X2)),equivalent(X1,X0))),
inference(resolution,[],[f2695,f1073]) ).
fof(f5577,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X2)))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f5380,f1]) ).
fof(f5628,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X0,X1)))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f5577,f636]) ).
fof(f5742,plain,
is_a_theorem(equivalent(sF3,equivalent(a,sF0))),
inference(resolution,[],[f5628,f1268]) ).
fof(f5770,plain,
is_a_theorem(equivalent(sF3,sF1)),
inference(forward_demodulation,[],[f5742,f7]) ).
fof(f5772,plain,
( $false
| spl5_19 ),
inference(forward_subsumption_resolution,[],[f5770,f1980]) ).
fof(f5773,plain,
spl5_19,
inference(avatar_contradiction_clause,[],[f5772]) ).
cnf(s21,plain,
~ spl5_19,
inference(sat_conversion,[],[f2645]) ).
cnf(s54,plain,
spl5_19,
inference(sat_conversion,[],[f5773]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s21,s54]) ).
fof(f5774,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:15:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.09/2.44 % (1569393)Input is clausal, will run a generic CNF schedule.
% 11.09/2.44 % (1569399)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1457609392:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.09/2.44 % (1569402)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1660263332:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.09/2.44 % (1569400)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=605806433:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.09/2.44 % (1569398)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=4116158370:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.09/2.44 % (1569404)dis-21_1_sil=8000:lcm=predicate:random_seed=762027633: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)
% 11.09/2.44 % (1569401)lrs+10_1_sil=8000:sp=occurrence:random_seed=402494573:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.09/2.44 % (1569403)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3704532363:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.09/2.44 % (1569401)Instruction limit reached!
% 11.09/2.44 % (1569401)------------------------------
% 11.09/2.44 % (1569401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.44 % (1569401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.44 % (1569401)CaDiCaL version: 2.1.3
% 11.09/2.44 % (1569401)Termination reason: Instruction limit
% 11.09/2.44 % (1569401)Termination phase: Saturation
% 11.09/2.44 % (1569401)Time elapsed: 0.066 s
% 11.09/2.44 % (1569401)Peak memory usage: 88 MB
% 11.09/2.44 % (1569401)Instructions burned: 107 (million)
% 11.09/2.44 % (1569402)Instruction limit reached!
% 11.09/2.44 % (1569402)------------------------------
% 11.09/2.44 % (1569402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.44 % (1569402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.44 % (1569402)CaDiCaL version: 2.1.3
% 11.09/2.44 % (1569402)Termination reason: Instruction limit
% 11.09/2.44 % (1569402)Termination phase: Saturation
% 11.09/2.44 % (1569402)Time elapsed: 0.072 s
% 11.09/2.44 % (1569402)Peak memory usage: 88 MB
% 11.09/2.44 % (1569402)Instructions burned: 115 (million)
% 11.09/2.44 % (1569404)Instruction limit reached!
% 11.09/2.44 % (1569404)------------------------------
% 11.09/2.44 % (1569404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.44 % (1569404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.44 % (1569404)CaDiCaL version: 2.1.3
% 11.09/2.44 % (1569404)Termination reason: Instruction limit
% 11.09/2.44 % (1569404)Termination phase: Saturation
% 11.09/2.44 % (1569404)Time elapsed: 0.075 s
% 11.09/2.44 % (1569404)Peak memory usage: 88 MB
% 11.09/2.44 % (1569404)Instructions burned: 117 (million)
% 11.09/2.44 % (1569403)Instruction limit reached!
% 11.09/2.44 % (1569403)------------------------------
% 11.09/2.44 % (1569403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.44 % (1569403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.44 % (1569403)CaDiCaL version: 2.1.3
% 11.09/2.44 % (1569403)Termination reason: Instruction limit
% 11.09/2.44 % (1569403)Termination phase: Saturation
% 11.09/2.44 % (1569403)Time elapsed: 0.120 s
% 11.09/2.44 % (1569403)Peak memory usage: 89 MB
% 11.09/2.44 % (1569403)Instructions burned: 181 (million)
% 11.09/2.44 % (1569412)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=77729036:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.09/2.44 % (1569412)Refutation not found, incomplete strategy
% 11.09/2.44 % (1569412)------------------------------
% 11.09/2.44 % (1569412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.44 % (1569412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.44 % (1569412)CaDiCaL version: 2.1.3
% 11.09/2.44 % (1569412)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.44 % (1569412)Time elapsed: 0.001 s
% 11.09/2.44 % (1569412)Peak memory usage: 87 MB
% 11.09/2.44 % (1569414)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3013086828:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.59/2.53 % (1569414)Refutation not found, incomplete strategy
% 11.59/2.53 % (1569414)------------------------------
% 11.59/2.53 % (1569414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569414)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569414)Termination reason: Refutation not found, incomplete strategy
% 11.59/2.53 % (1569414)Time elapsed: 0.001 s
% 11.59/2.53 % (1569414)Peak memory usage: 87 MB
% 11.59/2.53 % (1569413)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4003536621:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.59/2.53 % (1569415)lrs+10_64_to=lpo:sil=8000:random_seed=4280381306:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.59/2.53 % (1569413)Instruction limit reached!
% 11.59/2.53 % (1569413)------------------------------
% 11.59/2.53 % (1569413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569413)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569413)Termination reason: Instruction limit
% 11.59/2.53 % (1569413)Termination phase: Saturation
% 11.59/2.53 % (1569413)Time elapsed: 0.114 s
% 11.59/2.53 % (1569413)Peak memory usage: 90 MB
% 11.59/2.53 % (1569413)Instructions burned: 190 (million)
% 11.59/2.53 % (1569415)Instruction limit reached!
% 11.59/2.53 % (1569415)------------------------------
% 11.59/2.53 % (1569415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569415)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569415)Termination reason: Instruction limit
% 11.59/2.53 % (1569415)Termination phase: Saturation
% 11.59/2.53 % (1569415)Time elapsed: 0.080 s
% 11.59/2.53 % (1569415)Peak memory usage: 88 MB
% 11.59/2.53 % (1569415)Instructions burned: 126 (million)
% 11.59/2.53 % (1569412)------------------------------
% 11.59/2.53 % (1569412)------------------------------
% 11.59/2.53 % (1569414)------------------------------
% 11.59/2.53 % (1569414)------------------------------
% 11.59/2.53 % (1569420)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3004445692:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.59/2.53 % (1569421)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2091026972:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.59/2.53 % (1569422)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1532691425:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.59/2.53 % (1569421)Instruction limit reached!
% 11.59/2.53 % (1569421)------------------------------
% 11.59/2.53 % (1569421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569421)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569421)Termination reason: Instruction limit
% 11.59/2.53 % (1569421)Termination phase: Saturation
% 11.59/2.53 % (1569421)Time elapsed: 0.108 s
% 11.59/2.53 % (1569421)Peak memory usage: 90 MB
% 11.59/2.53 % (1569421)Instructions burned: 157 (million)
% 11.59/2.53 % (1569420)Instruction limit reached!
% 11.59/2.53 % (1569420)------------------------------
% 11.59/2.53 % (1569420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569420)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569420)Termination reason: Instruction limit
% 11.59/2.53 % (1569420)Termination phase: Saturation
% 11.59/2.53 % (1569420)Time elapsed: 0.126 s
% 11.59/2.53 % (1569420)Peak memory usage: 89 MB
% 11.59/2.53 % (1569420)Instructions burned: 195 (million)
% 11.59/2.53 % (1569424)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=1815038100:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.59/2.53 % (1569424)Instruction limit reached!
% 11.59/2.53 % (1569424)------------------------------
% 11.59/2.53 % (1569424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569424)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569424)Termination reason: Instruction limit
% 11.59/2.53 % (1569424)Termination phase: Saturation
% 11.59/2.53 % (1569424)Time elapsed: 0.061 s
% 11.59/2.53 % (1569424)Peak memory usage: 88 MB
% 11.59/2.53 % (1569424)Instructions burned: 108 (million)
% 11.59/2.53 % (1569428)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=934032452:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.59/2.53 % (1569427)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=953513491:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.59/2.53 % (1569427)Refutation not found, incomplete strategy
% 11.59/2.53 % (1569427)------------------------------
% 11.59/2.53 % (1569427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569427)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569427)Termination reason: Refutation not found, incomplete strategy
% 11.59/2.53 % (1569427)Time elapsed: 0.001 s
% 11.59/2.53 % (1569427)Peak memory usage: 87 MB
% 11.59/2.53 % (1569430)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2476457926:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.59/2.53 % (1569428)Instruction limit reached!
% 11.59/2.53 % (1569428)------------------------------
% 11.59/2.53 % (1569428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569428)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569428)Termination reason: Instruction limit
% 11.59/2.53 % (1569428)Termination phase: Saturation
% 11.59/2.53 % (1569428)Time elapsed: 0.132 s
% 11.59/2.53 % (1569428)Peak memory usage: 90 MB
% 11.59/2.53 % (1569428)Instructions burned: 244 (million)
% 11.59/2.53 % (1569427)------------------------------
% 11.59/2.53 % (1569427)------------------------------
% 11.59/2.53 % (1569434)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1480362846:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.59/2.53 % (1569434)Instruction limit reached!
% 11.59/2.53 % (1569434)------------------------------
% 11.59/2.53 % (1569434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569434)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569434)Termination reason: Instruction limit
% 11.59/2.53 % (1569434)Termination phase: Saturation
% 11.59/2.53 % (1569434)Time elapsed: 0.087 s
% 11.59/2.53 % (1569434)Peak memory usage: 89 MB
% 11.59/2.53 % (1569434)Instructions burned: 135 (million)
% 11.59/2.53 % (1569435)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=155660945:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.59/2.53 % (1569437)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=343564331:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.59/2.53 % (1569398)First to succeed.
% 11.59/2.53 % (1569398)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1569393"
% 11.59/2.53 % (1569437)Instruction limit reached!
% 11.59/2.53 % (1569437)------------------------------
% 11.59/2.53 % (1569437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569437)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569437)Termination reason: Instruction limit
% 11.59/2.53 % (1569437)Termination phase: Saturation
% 11.59/2.53 % (1569437)Time elapsed: 0.127 s
% 11.59/2.53 % (1569437)Peak memory usage: 90 MB
% 11.59/2.53 % (1569437)Instructions burned: 192 (million)
% 11.59/2.53 % (1569435)Instruction limit reached!
% 11.59/2.53 % (1569435)------------------------------
% 11.59/2.53 % (1569435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.53 % (1569435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.53 % (1569435)CaDiCaL version: 2.1.3
% 11.59/2.53 % (1569435)Termination reason: Instruction limit
% 11.59/2.53 % (1569435)Termination phase: Saturation
% 11.59/2.53 % (1569435)Time elapsed: 0.283 s
% 11.59/2.53 % (1569435)Peak memory usage: 91 MB
% 11.59/2.53 % (1569435)Instructions burned: 499 (million)
% 11.59/2.53 % (1569440)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2952834721:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 11.59/2.53 % (1569441)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2355865057:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 11.59/2.53 % (1569398)Refutation found. Thanks to Tanya!
% 11.59/2.53 % SZS status Unsatisfiable for theBenchmark
% 11.59/2.53 % SZS output start Proof for theBenchmark
% See solution above
% 12.31/2.72 % (1569398)------------------------------
% 12.31/2.72 % (1569398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.31/2.72 % (1569398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.31/2.72 % (1569398)CaDiCaL version: 2.1.3
% 12.31/2.72 % (1569398)Termination reason: Refutation
% 12.31/2.72 % (1569398)Time elapsed: 1.245 s
% 12.31/2.72 % (1569398)Peak memory usage: 137 MB
% 12.31/2.72 % (1569398)Instructions burned: 1951 (million)
% 12.31/2.72 % (1569398)------------------------------
% 12.31/2.72 % (1569398)------------------------------
% 12.31/2.72 % (1569393)Success in time 1.654 s
% 12.31/2.72 % Vampire exiting
%------------------------------------------------------------------------------