%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN205-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:49:54 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.43s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 40
% Syntax : Number of formulae : 134 ( 39 unt; 18 def)
% Number of atoms : 311 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 346 ( 169 ~; 159 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 19 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f42,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ k1(X0)
| ~ l0(X1)
| ~ l1(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_004) ).
fof(f88,axiom,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ s0(b)
| ~ l0(X0)
| ~ p0(b,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ l0(X2)
| n1(X0,X1,X1)
| ~ l1(X2,X0)
| ~ n1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).
fof(f107,axiom,
! [X0,X1] :
( p1(X0,X0,X1)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_069) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f215,axiom,
! [X0,X1] :
( ~ k0(X1)
| q2(X0,X1,X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f220,axiom,
! [X2,X0,X1] :
( q2(X0,X1,X0)
| ~ p1(X0,X0,X2)
| ~ n1(X1,X0,X2)
| ~ q2(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_182) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).
fof(f369,negated_conjecture,
~ s3(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f885,definition,
( spl0_130
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f889,definition,
( spl0_131
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f890,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| s2(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( ~ spl0_130
| spl0_131 ),
inference(avatar_split_clause,[],[f227,f889,f885]) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f901,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1099,definition,
( spl0_184
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1100,plain,
( k0(b)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1170,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1276,definition,
( spl0_227
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1277,plain,
( l0(a)
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1280,definition,
( spl0_228
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
fof(f1282,plain,
( p1(a,a,a)
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1283,plain,
( ~ spl0_227
| spl0_228 ),
inference(avatar_split_clause,[],[f126,f1280,f1276]) ).
fof(f1419,definition,
( spl0_261
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
fof(f1420,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1421,plain,
( ~ spl0_201
| spl0_261 ),
inference(avatar_split_clause,[],[f88,f1419,f1170]) ).
fof(f1448,definition,
( spl0_268
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
fof(f1449,plain,
( k1(a)
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1450,plain,
( ~ k1(a)
| spl0_268 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1528,definition,
( spl0_287
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
fof(f1529,plain,
( l1(c,c)
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1530,plain,
( ~ l1(c,c)
| spl0_287 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1544,definition,
( spl0_291
<=> ! [X1] :
( ~ l0(X1)
| ~ l1(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
fof(f1545,plain,
( ! [X1] :
( ~ l1(X1,X1)
| ~ l0(X1) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1547,definition,
( spl0_292
<=> ! [X0] :
( l1(X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
fof(f1548,plain,
( ! [X0] :
( l1(X0,X0)
| ~ k1(X0) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1549,plain,
( spl0_291
| spl0_292 ),
inference(avatar_split_clause,[],[f42,f1547,f1544]) ).
fof(f1555,plain,
spl0_184,
inference(avatar_split_clause,[],[f32,f1099]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1567,plain,
spl0_201,
inference(avatar_split_clause,[],[f5,f1170]) ).
fof(f1666,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_268 ),
inference(resolution,[],[f39,f1450]) ).
fof(f1677,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1681,plain,
spl0_130,
inference(avatar_split_clause,[],[f1677,f885]) ).
fof(f1682,plain,
( $false
| spl0_268 ),
inference(resolution,[],[f1666,f37]) ).
fof(f1683,plain,
spl0_268,
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1739,plain,
( ! [X0] : ~ n0(X0,c)
| spl0_287 ),
inference(resolution,[],[f40,f1530]) ).
fof(f1754,plain,
( $false
| spl0_287 ),
inference(resolution,[],[f1739,f26]) ).
fof(f1755,plain,
spl0_287,
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1756,plain,
( ~ l0(c)
| ~ spl0_287
| ~ spl0_291 ),
inference(resolution,[],[f1529,f1545]) ).
fof(f1757,plain,
( $false
| ~ spl0_134
| ~ spl0_287
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f1756,f901]) ).
fof(f1758,plain,
( ~ spl0_134
| ~ spl0_287
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1866,definition,
( spl0_301
<=> s2(a) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
fof(f1868,plain,
( ~ s2(a)
| spl0_301 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f2028,plain,
! [X2,X0,X1] :
( s3(X0,X1)
| ~ p1(X0,X0,X0)
| ~ s2(X0)
| ~ m0(X0,X2,X1) ),
inference(resolution,[],[f219,f311]) ).
fof(f2258,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0) )
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f1420,f14]) ).
fof(f2291,plain,
( ! [X0] :
( q2(X0,b,b)
| ~ p1(X0,X0,X0) )
| ~ spl0_184 ),
inference(resolution,[],[f215,f1100]) ).
fof(f2483,plain,
( ! [X0,X1] :
( ~ l1(a,X0)
| n1(X0,X1,X1)
| ~ n1(X0,X1,X0) )
| ~ spl0_227 ),
inference(resolution,[],[f92,f1277]) ).
fof(f2643,plain,
( ! [X0,X1] :
( s2(X1)
| ~ n1(X1,b,X0)
| ~ q2(X1,X0,b)
| ~ p1(b,b,X0) )
| ~ spl0_131 ),
inference(resolution,[],[f220,f890]) ).
fof(f2821,plain,
( ! [X0] :
( n1(a,X0,X0)
| ~ n1(a,X0,a)
| ~ k1(a) )
| ~ spl0_227
| ~ spl0_292 ),
inference(resolution,[],[f2483,f1548]) ).
fof(f2824,definition,
( spl0_363
<=> ! [X0] :
( n1(a,X0,X0)
| ~ n1(a,X0,a) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
fof(f2825,plain,
( ! [X0] :
( n1(a,X0,X0)
| ~ n1(a,X0,a) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f2827,plain,
( ! [X0] :
( n1(a,X0,X0)
| ~ n1(a,X0,a) )
| ~ spl0_227
| ~ spl0_268
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f2821,f1449]) ).
fof(f2828,plain,
( spl0_363
| ~ spl0_227
| ~ spl0_268
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f2827,f1547,f1448,f1276,f2824]) ).
fof(f2892,plain,
! [X0] :
( ~ p1(a,a,a)
| ~ s2(a)
| ~ m0(a,X0,d) ),
inference(resolution,[],[f2028,f369]) ).
fof(f2922,plain,
( ! [X0] :
( ~ q2(a,X0,b)
| ~ n1(a,b,X0)
| ~ p1(b,b,X0) )
| ~ spl0_131
| spl0_301 ),
inference(resolution,[],[f2643,f1868]) ).
fof(f3104,plain,
( ~ n1(a,b,b)
| ~ p1(b,b,b)
| ~ p1(a,a,a)
| ~ spl0_131
| ~ spl0_184
| spl0_301 ),
inference(resolution,[],[f2922,f2291]) ).
fof(f3105,plain,
( ~ n1(a,b,b)
| ~ p1(b,b,b)
| ~ spl0_131
| ~ spl0_184
| ~ spl0_228
| spl0_301 ),
inference(forward_subsumption_resolution,[],[f3104,f1282]) ).
fof(f3107,definition,
( spl0_396
<=> p1(b,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
fof(f3109,plain,
( ~ p1(b,b,b)
| spl0_396 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f3111,definition,
( spl0_397
<=> n1(a,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
fof(f3113,plain,
( ~ n1(a,b,b)
| spl0_397 ),
inference(avatar_component_clause,[],[f3111]) ).
fof(f3114,plain,
( ~ spl0_396
| ~ spl0_397
| ~ spl0_131
| ~ spl0_184
| ~ spl0_228
| spl0_301 ),
inference(avatar_split_clause,[],[f3105,f1866,f1280,f1099,f889,f3111,f3107]) ).
fof(f3116,plain,
( ~ p0(b,b)
| spl0_396 ),
inference(resolution,[],[f3109,f107]) ).
fof(f3141,plain,
( $false
| spl0_396 ),
inference(forward_subsumption_resolution,[],[f3116,f14]) ).
fof(f3142,plain,
spl0_396,
inference(avatar_contradiction_clause,[],[f3141]) ).
fof(f3188,plain,
( ~ n1(a,b,a)
| ~ spl0_363
| spl0_397 ),
inference(resolution,[],[f3113,f2825]) ).
fof(f3191,definition,
( spl0_406
<=> n1(a,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_406])],[avatar_definition]) ).
fof(f3193,plain,
( ~ n1(a,b,a)
| spl0_406 ),
inference(avatar_component_clause,[],[f3191]) ).
fof(f3195,plain,
( ~ spl0_406
| ~ spl0_363
| spl0_397 ),
inference(avatar_split_clause,[],[f3188,f3111,f2824,f3191]) ).
fof(f3200,plain,
( ~ l0(a)
| ~ spl0_261
| spl0_406 ),
inference(resolution,[],[f3193,f2258]) ).
fof(f3201,plain,
( $false
| ~ spl0_227
| ~ spl0_261
| spl0_406 ),
inference(forward_subsumption_resolution,[],[f3200,f1277]) ).
fof(f3202,plain,
( ~ spl0_227
| ~ spl0_261
| spl0_406 ),
inference(avatar_contradiction_clause,[],[f3201]) ).
fof(f3204,plain,
( ! [X0] :
( ~ s2(a)
| ~ m0(a,X0,d) )
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f2892,f1282]) ).
fof(f3213,definition,
( spl0_409
<=> ! [X1] : ~ m0(a,X1,d) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
fof(f3214,plain,
( ! [X1] : ~ m0(a,X1,d)
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f3213]) ).
fof(f3237,plain,
( spl0_409
| ~ spl0_301
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f3204,f1280,f1866,f3213]) ).
fof(f3238,plain,
( $false
| ~ spl0_409 ),
inference(resolution,[],[f3214,f19]) ).
fof(f3239,plain,
~ spl0_409,
inference(avatar_contradiction_clause,[],[f3238]) ).
cnf(s60,plain,
( ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f891]) ).
cnf(s111,plain,
( ~ spl0_227
| spl0_228 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s131,plain,
( ~ spl0_201
| spl0_261 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s152,plain,
( spl0_291
| spl0_292 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s155,plain,
spl0_184,
inference(sat_conversion,[],[f1555]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s167,plain,
spl0_201,
inference(sat_conversion,[],[f1567]) ).
cnf(s205,plain,
spl0_130,
inference(sat_conversion,[],[f1681]) ).
cnf(s206,plain,
spl0_268,
inference(sat_conversion,[],[f1683]) ).
cnf(s232,plain,
spl0_287,
inference(sat_conversion,[],[f1755]) ).
cnf(s233,plain,
( ~ spl0_134
| ~ spl0_287
| ~ spl0_291 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s408,plain,
( ~ spl0_227
| ~ spl0_268
| ~ spl0_292
| spl0_363 ),
inference(sat_conversion,[],[f2828]) ).
cnf(s442,plain,
( ~ spl0_131
| ~ spl0_184
| ~ spl0_228
| spl0_301
| ~ spl0_396
| ~ spl0_397 ),
inference(sat_conversion,[],[f3114]) ).
cnf(s447,plain,
spl0_396,
inference(sat_conversion,[],[f3142]) ).
cnf(s456,plain,
( ~ spl0_363
| spl0_397
| ~ spl0_406 ),
inference(sat_conversion,[],[f3195]) ).
cnf(s458,plain,
( ~ spl0_227
| ~ spl0_261
| spl0_406 ),
inference(sat_conversion,[],[f3202]) ).
cnf(s470,plain,
( ~ spl0_228
| ~ spl0_301
| spl0_409 ),
inference(sat_conversion,[],[f3237]) ).
cnf(s471,plain,
~ spl0_409,
inference(sat_conversion,[],[f3239]) ).
cnf(s472,plain,
( ~ spl0_228
| ~ spl0_301 ),
inference(rat,[],[s470,s471]) ).
cnf(s477,plain,
( ~ spl0_131
| ~ spl0_184
| ~ spl0_228
| spl0_301
| ~ spl0_397 ),
inference(rat,[],[s442,s447]) ).
cnf(s500,plain,
~ spl0_291,
inference(rat,[],[s233,s232,s158]) ).
cnf(s508,plain,
spl0_292,
inference(rat,[],[s152,s500]) ).
cnf(s510,plain,
spl0_363,
inference(rat,[],[s408,s160,s206,s508]) ).
cnf(s535,plain,
spl0_261,
inference(rat,[],[s131,s167]) ).
cnf(s536,plain,
spl0_406,
inference(rat,[],[s458,s160,s535]) ).
cnf(s537,plain,
spl0_397,
inference(rat,[],[s456,s510,s536]) ).
cnf(s550,plain,
spl0_228,
inference(rat,[],[s111,s160]) ).
cnf(s551,plain,
~ spl0_301,
inference(rat,[],[s472,s550]) ).
cnf(s553,plain,
~ spl0_131,
inference(rat,[],[s477,s537,s551,s155,s550]) ).
cnf(s630,plain,
$false,
inference(rat,[],[s60,s553,s205]) ).
fof(f3240,plain,
$false,
inference(avatar_sat_refutation,[],[s630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN205-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:40:40 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 3.56/1.43 % (3493361)Input is clausal, will run a generic CNF schedule.
% 3.56/1.43 % (3493377)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1078915678:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.43 % (3493375)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=2219334375:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.43 % (3493376)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3922909217:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.43 % (3493380)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1442724720:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.43 % (3493378)lrs+10_1_sil=8000:sp=occurrence:random_seed=3007298131:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.43 % (3493381)dis-21_1_sil=8000:lcm=predicate:random_seed=1569431614: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)
% 3.56/1.43 % (3493379)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3537044072:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.43 % (3493380)First to succeed.
% 3.56/1.43 % (3493378)Also succeeded, but the first one will report.
% 3.56/1.43 % (3493380)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3493361"
% 3.56/1.43 % (3493381)Instruction limit reached!
% 3.56/1.43 % (3493381)------------------------------
% 3.56/1.43 % (3493381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.43 % (3493381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.43 % (3493381)CaDiCaL version: 2.1.3
% 3.56/1.43 % (3493381)Termination reason: Instruction limit
% 3.56/1.43 % (3493381)Termination phase: Saturation
% 3.56/1.43 % (3493381)Time elapsed: 0.055 s
% 3.56/1.43 % (3493381)Peak memory usage: 89 MB
% 3.56/1.43 % (3493381)Instructions burned: 118 (million)
% 3.56/1.43 % (3493379)Also succeeded, but the first one will report.
% 3.56/1.43 % (3493389)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=2755163032:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.56/1.43 % (3493389)Refutation not found, incomplete strategy
% 3.56/1.43 % (3493389)------------------------------
% 3.56/1.43 % (3493389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.43 % (3493389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.43 % (3493389)CaDiCaL version: 2.1.3
% 3.56/1.43 % (3493389)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.43 % (3493389)Time elapsed: 0.002 s
% 3.56/1.43 % (3493389)Peak memory usage: 87 MB
% 3.56/1.43 % (3493389)Instructions burned: 1 (million)
% 3.56/1.43 % (3493380)Refutation found. Thanks to Tanya!
% 3.56/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.63 % (3493380)------------------------------
% 4.20/1.63 % (3493380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.63 % (3493380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.63 % (3493380)CaDiCaL version: 2.1.3
% 4.20/1.63 % (3493380)Termination reason: Refutation
% 4.20/1.63 % (3493380)Time elapsed: 0.046 s
% 4.20/1.63 % (3493380)Peak memory usage: 91 MB
% 4.20/1.63 % (3493380)Instructions burned: 68 (million)
% 4.20/1.63 % (3493380)------------------------------
% 4.20/1.63 % (3493380)------------------------------
% 4.20/1.63 % (3493361)Success in time 0.469 s
% 4.20/1.63 % Vampire exiting
%------------------------------------------------------------------------------