%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN140-1 : 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 : n002.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 01:49:45 PM UTC 2026
% Result : Unsatisfiable 3.01s 1.11s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 53
% Syntax : Number of formulae : 183 ( 50 unt; 25 def)
% Number of atoms : 440 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 507 ( 250 ~; 232 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 26 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
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(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
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(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_079) ).
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(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).
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] :
( s3(X0,X1)
| ~ q2(X2,X0,X2)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).
fof(f317,axiom,
! [X2,X0,X1] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_279) ).
fof(f369,negated_conjecture,
! [X0] : ~ m4(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f867,definition,
( spl0_126
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f868,plain,
( s1(d)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f869,plain,
( ~ s1(d)
| spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
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(f1129,definition,
( spl0_191
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1130,plain,
( k1(b)
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1131,plain,
( ~ k1(b)
| spl0_191 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,definition,
( spl0_195
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f1145,plain,
( ! [X2,X3,X0] :
( ~ s1(X2)
| l2(X0,X0)
| ~ m0(X3,X2,X0) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1146,plain,
( spl0_194
| spl0_195 ),
inference(avatar_split_clause,[],[f171,f1144,f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1170,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[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(f1305,definition,
( spl0_234
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
fof(f1306,plain,
( ! [X0] :
( ~ k1(X0)
| p1(X0,X0,X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1307,plain,
( ~ spl0_134
| ~ spl0_205
| spl0_234 ),
inference(avatar_split_clause,[],[f117,f1305,f1186,f900]) ).
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(f1556,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1186]) ).
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(f1579,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1580,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1593,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1594,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1593,f602,f1141]) ).
fof(f1596,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1597,plain,
spl0_130,
inference(avatar_split_clause,[],[f1596,f885]) ).
fof(f1650,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_268 ),
inference(resolution,[],[f39,f1450]) ).
fof(f1651,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_191 ),
inference(resolution,[],[f39,f1131]) ).
fof(f1660,plain,
( $false
| spl0_268 ),
inference(resolution,[],[f1650,f37]) ).
fof(f1661,plain,
spl0_268,
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1663,plain,
( $false
| spl0_191 ),
inference(resolution,[],[f1651,f7]) ).
fof(f1668,plain,
spl0_191,
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1671,plain,
( p1(b,b,b)
| ~ spl0_191
| ~ spl0_234 ),
inference(resolution,[],[f1130,f1306]) ).
fof(f1672,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1158,f869]) ).
fof(f1675,plain,
( $false
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1672,f17]) ).
fof(f1680,plain,
( spl0_126
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1675]) ).
fof(f1721,plain,
( ! [X0] : ~ n0(X0,c)
| spl0_287 ),
inference(resolution,[],[f40,f1530]) ).
fof(f1729,plain,
( $false
| spl0_287 ),
inference(resolution,[],[f1721,f26]) ).
fof(f1730,plain,
spl0_287,
inference(avatar_contradiction_clause,[],[f1729]) ).
fof(f1731,plain,
( ~ l0(c)
| ~ spl0_287
| ~ spl0_291 ),
inference(resolution,[],[f1529,f1545]) ).
fof(f1732,plain,
( $false
| ~ spl0_134
| ~ spl0_287
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f1731,f901]) ).
fof(f1733,plain,
( ~ spl0_134
| ~ spl0_287
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1859,plain,
( ! [X0,X1] :
( l2(X0,X0)
| ~ m0(X1,d,X0) )
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f1145,f868]) ).
fof(f1863,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_126
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f1859,f19]) ).
fof(f1896,plain,
( ! [X0,X1] :
( ~ l0(X0)
| n1(X0,X1,X0) )
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f1420,f14]) ).
fof(f1898,plain,
( ! [X0] : n1(a,X0,a)
| ~ spl0_227
| ~ spl0_261 ),
inference(resolution,[],[f1896,f1277]) ).
fof(f2084,plain,
! [X2,X3,X0,X1,X4] :
( ~ q2(X0,a,X0)
| ~ s2(a)
| ~ m0(X0,X1,X2)
| ~ l2(X3,X4)
| m4(X2,X4) ),
inference(resolution,[],[f311,f317]) ).
fof(f2086,definition,
( spl0_309
<=> s2(a) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
fof(f2088,plain,
( ~ s2(a)
| spl0_309 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f2090,definition,
( spl0_310
<=> ! [X4,X0,X3,X2,X1] :
( ~ q2(X0,a,X0)
| m4(X2,X4)
| ~ l2(X3,X4)
| ~ m0(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
fof(f2091,plain,
( ! [X2,X3,X0,X1,X4] :
( m4(X2,X4)
| ~ q2(X0,a,X0)
| ~ l2(X3,X4)
| ~ m0(X0,X1,X2) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2092,plain,
( ~ spl0_309
| spl0_310 ),
inference(avatar_split_clause,[],[f2084,f2090,f2086]) ).
fof(f2401,plain,
( ! [X0] :
( q2(X0,b,b)
| ~ p1(X0,X0,X0) )
| ~ spl0_184 ),
inference(resolution,[],[f215,f1100]) ).
fof(f2608,plain,
( ! [X0,X1] :
( ~ l1(a,X0)
| n1(X0,X1,X1)
| ~ n1(X0,X1,X0) )
| ~ spl0_227 ),
inference(resolution,[],[f92,f1277]) ).
fof(f2639,plain,
( ! [X0,X1] :
( s2(X1)
| ~ n1(X1,b,X0)
| ~ q2(X1,X0,b)
| ~ p1(b,b,X0) )
| ~ spl0_131 ),
inference(resolution,[],[f220,f890]) ).
fof(f2738,plain,
( ! [X0] :
( n1(a,X0,X0)
| ~ n1(a,X0,a)
| ~ k1(a) )
| ~ spl0_227
| ~ spl0_292 ),
inference(resolution,[],[f2608,f1548]) ).
fof(f2741,plain,
( ! [X0] :
( n1(a,X0,X0)
| ~ n1(a,X0,a) )
| ~ spl0_227
| ~ spl0_268
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f2738,f1449]) ).
fof(f2743,definition,
( spl0_351
<=> ! [X0] : n1(a,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
fof(f2744,plain,
( ! [X0] : n1(a,X0,X0)
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f2746,plain,
( ! [X0] : n1(a,X0,X0)
| ~ spl0_227
| ~ spl0_261
| ~ spl0_268
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f2741,f1898]) ).
fof(f2747,plain,
( spl0_351
| ~ spl0_227
| ~ spl0_261
| ~ spl0_268
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f2746,f1547,f1448,f1419,f1276,f2743]) ).
fof(f2949,plain,
( ! [X0] :
( ~ q2(a,X0,b)
| ~ n1(a,b,X0)
| ~ p1(b,b,X0) )
| ~ spl0_131
| spl0_309 ),
inference(resolution,[],[f2639,f2088]) ).
fof(f3092,plain,
( ~ n1(a,b,b)
| ~ p1(b,b,b)
| ~ p1(a,a,a)
| ~ spl0_131
| ~ spl0_184
| spl0_309 ),
inference(resolution,[],[f2949,f2401]) ).
fof(f3095,plain,
( ~ p1(b,b,b)
| ~ p1(a,a,a)
| ~ spl0_131
| ~ spl0_184
| spl0_309
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f3092,f2744]) ).
fof(f3105,plain,
( ~ p1(a,a,a)
| ~ spl0_131
| ~ spl0_184
| ~ spl0_191
| ~ spl0_234
| spl0_309
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f3095,f1671]) ).
fof(f3106,plain,
( $false
| ~ spl0_131
| ~ spl0_184
| ~ spl0_191
| ~ spl0_228
| ~ spl0_234
| spl0_309
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f3105,f1282]) ).
fof(f3107,plain,
( ~ spl0_131
| ~ spl0_184
| ~ spl0_191
| ~ spl0_228
| ~ spl0_234
| spl0_309
| ~ spl0_351 ),
inference(avatar_contradiction_clause,[],[f3106]) ).
fof(f3109,plain,
( ! [X2,X3,X0,X1] :
( ~ q2(X0,a,X0)
| ~ l2(X1,X2)
| ~ m0(X0,X3,b) )
| ~ spl0_310 ),
inference(resolution,[],[f2091,f369]) ).
fof(f3113,definition,
( spl0_378
<=> ! [X2,X1] : ~ l2(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).
fof(f3114,plain,
( ! [X2,X1] : ~ l2(X1,X2)
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f3113]) ).
fof(f3116,definition,
( spl0_379
<=> ! [X0,X3] :
( ~ q2(X0,a,X0)
| ~ m0(X0,X3,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).
fof(f3117,plain,
( ! [X3,X0] :
( ~ m0(X0,X3,b)
| ~ q2(X0,a,X0) )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f3116]) ).
fof(f3118,plain,
( spl0_378
| spl0_379
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f3109,f2090,f3116,f3113]) ).
fof(f3119,plain,
( $false
| ~ spl0_126
| ~ spl0_195
| ~ spl0_378 ),
inference(resolution,[],[f3114,f1863]) ).
fof(f3138,plain,
( ~ spl0_126
| ~ spl0_195
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3139,plain,
( ! [X0] : ~ q2(X0,a,X0)
| ~ spl0_379 ),
inference(resolution,[],[f3117,f19]) ).
fof(f3143,plain,
( ~ p1(a,a,a)
| ~ spl0_379 ),
inference(resolution,[],[f3139,f219]) ).
fof(f3149,plain,
( $false
| ~ spl0_228
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f3143,f1282]) ).
fof(f3150,plain,
( ~ spl0_228
| ~ spl0_379 ),
inference(avatar_contradiction_clause,[],[f3149]) ).
cnf(s60,plain,
( ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f891]) ).
cnf(s89,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s111,plain,
( ~ spl0_227
| spl0_228 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s116,plain,
( ~ spl0_134
| ~ spl0_205
| spl0_234 ),
inference(sat_conversion,[],[f1307]) ).
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(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1556]) ).
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(s174,plain,
~ spl0_194,
inference(sat_conversion,[],[f1580]) ).
cnf(s181,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s182,plain,
spl0_130,
inference(sat_conversion,[],[f1597]) ).
cnf(s205,plain,
spl0_268,
inference(sat_conversion,[],[f1661]) ).
cnf(s208,plain,
spl0_191,
inference(sat_conversion,[],[f1668]) ).
cnf(s212,plain,
( spl0_126
| ~ spl0_198 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s232,plain,
spl0_287,
inference(sat_conversion,[],[f1730]) ).
cnf(s233,plain,
( ~ spl0_134
| ~ spl0_287
| ~ spl0_291 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s304,plain,
( ~ spl0_309
| spl0_310 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s406,plain,
( ~ spl0_227
| ~ spl0_261
| ~ spl0_268
| ~ spl0_292
| spl0_351 ),
inference(sat_conversion,[],[f2747]) ).
cnf(s472,plain,
( ~ spl0_131
| ~ spl0_184
| ~ spl0_191
| ~ spl0_228
| ~ spl0_234
| spl0_309
| ~ spl0_351 ),
inference(sat_conversion,[],[f3107]) ).
cnf(s473,plain,
( ~ spl0_310
| spl0_378
| spl0_379 ),
inference(sat_conversion,[],[f3118]) ).
cnf(s482,plain,
( ~ spl0_126
| ~ spl0_195
| ~ spl0_378 ),
inference(sat_conversion,[],[f3138]) ).
cnf(s484,plain,
( ~ spl0_228
| ~ spl0_379 ),
inference(sat_conversion,[],[f3150]) ).
cnf(s512,plain,
~ spl0_60,
inference(rat,[],[s181,s174]) ).
cnf(s524,plain,
~ spl0_291,
inference(rat,[],[s233,s232,s158]) ).
cnf(s532,plain,
spl0_292,
inference(rat,[],[s152,s524]) ).
cnf(s555,plain,
spl0_261,
inference(rat,[],[s131,s167]) ).
cnf(s556,plain,
spl0_351,
inference(rat,[],[s406,s532,s160,s205,s555]) ).
cnf(s568,plain,
spl0_234,
inference(rat,[],[s116,s156,s158]) ).
cnf(s575,plain,
spl0_228,
inference(rat,[],[s111,s160]) ).
cnf(s576,plain,
~ spl0_379,
inference(rat,[],[s484,s575]) ).
cnf(s608,plain,
spl0_198,
inference(rat,[],[s91,s512]) ).
cnf(s611,plain,
spl0_126,
inference(rat,[],[s212,s608]) ).
cnf(s615,plain,
spl0_195,
inference(rat,[],[s89,s174]) ).
cnf(s616,plain,
~ spl0_378,
inference(rat,[],[s482,s611,s615]) ).
cnf(s625,plain,
~ spl0_310,
inference(rat,[],[s473,s576,s616]) ).
cnf(s626,plain,
~ spl0_309,
inference(rat,[],[s304,s625]) ).
cnf(s627,plain,
~ spl0_131,
inference(rat,[],[s472,s556,s575,s568,s155,s208,s626]) ).
cnf(s656,plain,
$false,
inference(rat,[],[s60,s627,s182]) ).
fof(f3151,plain,
$false,
inference(avatar_sat_refutation,[],[s656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN140-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:39:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.01/1.11 % (460816)Input is clausal, will run a generic CNF schedule.
% 3.01/1.11 % (460823)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1274465547:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.01/1.11 % (460822)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1620991261:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.01/1.11 % (460824)lrs+10_1_sil=8000:sp=occurrence:random_seed=1325024659:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.01/1.11 % (460825)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=35547400:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.01/1.11 % (460827)dis-21_1_sil=8000:lcm=predicate:random_seed=572278010: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)
% 3.01/1.11 % (460821)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=1428146584:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.01/1.11 % (460826)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3359838591:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.01/1.11 % (460824)Refutation not found, incomplete strategy
% 3.01/1.11 % (460824)------------------------------
% 3.01/1.11 % (460824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.11 % (460824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.11 % (460824)CaDiCaL version: 2.1.3
% 3.01/1.11 % (460824)Termination reason: Refutation not found, incomplete strategy
% 3.01/1.11 % (460824)Time elapsed: 0.028 s
% 3.01/1.11 % (460824)Peak memory usage: 89 MB
% 3.01/1.11 % (460824)Instructions burned: 41 (million)
% 3.01/1.11 % (460826)First to succeed.
% 3.01/1.11 % (460826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-460816"
% 3.01/1.11 % (460827)Instruction limit reached!
% 3.01/1.11 % (460827)------------------------------
% 3.01/1.11 % (460827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.11 % (460827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.11 % (460827)CaDiCaL version: 2.1.3
% 3.01/1.11 % (460827)Termination reason: Instruction limit
% 3.01/1.11 % (460827)Termination phase: Saturation
% 3.01/1.11 % (460827)Time elapsed: 0.056 s
% 3.01/1.11 % (460827)Peak memory usage: 89 MB
% 3.01/1.11 % (460827)Instructions burned: 119 (million)
% 3.01/1.11 % (460825)Instruction limit reached!
% 3.01/1.11 % (460825)------------------------------
% 3.01/1.11 % (460825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.11 % (460825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.11 % (460825)CaDiCaL version: 2.1.3
% 3.01/1.11 % (460825)Termination reason: Instruction limit
% 3.01/1.11 % (460825)Termination phase: Saturation
% 3.01/1.11 % (460825)Time elapsed: 0.072 s
% 3.01/1.11 % (460825)Peak memory usage: 90 MB
% 3.01/1.11 % (460825)Instructions burned: 114 (million)
% 3.01/1.11 % (460835)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=350875780:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.01/1.11 % (460835)Refutation not found, incomplete strategy
% 3.01/1.11 % (460835)------------------------------
% 3.01/1.11 % (460835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.11 % (460835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.11 % (460835)CaDiCaL version: 2.1.3
% 3.01/1.11 % (460835)Termination reason: Refutation not found, incomplete strategy
% 3.01/1.11 % (460835)Time elapsed: 0.002 s
% 3.01/1.11 % (460835)Peak memory usage: 87 MB
% 3.01/1.11 % (460835)Instructions burned: 1 (million)
% 3.01/1.11 % (460836)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=174204213: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)
% 3.01/1.11 % (460836)Refutation not found, incomplete strategy
% 3.01/1.11 % (460836)------------------------------
% 3.01/1.11 % (460836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.11 % (460836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.11 % (460836)CaDiCaL version: 2.1.3
% 3.01/1.11 % (460836)Termination reason: Refutation not found, incomplete strategy
% 3.01/1.11 % (460836)Time elapsed: 0.013 s
% 3.01/1.11 % (460836)Peak memory usage: 88 MB
% 3.01/1.11 % (460836)Instructions burned: 23 (million)
% 3.01/1.11 % (460824)------------------------------
% 3.01/1.11 % (460824)------------------------------
% 3.01/1.11 % (460826)Refutation found. Thanks to Tanya!
% 3.01/1.11 % SZS status Unsatisfiable for theBenchmark
% 3.01/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.21 % (460826)------------------------------
% 3.74/1.21 % (460826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.21 % (460826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.21 % (460826)CaDiCaL version: 2.1.3
% 3.74/1.21 % (460826)Termination reason: Refutation
% 3.74/1.21 % (460826)Time elapsed: 0.044 s
% 3.74/1.21 % (460826)Peak memory usage: 91 MB
% 3.74/1.21 % (460826)Instructions burned: 64 (million)
% 3.74/1.21 % (460826)------------------------------
% 3.74/1.21 % (460826)------------------------------
% 3.74/1.21 % (460816)Success in time 0.456 s
% 3.74/1.21 % Vampire exiting
%------------------------------------------------------------------------------