%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN142-1 : 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 : n016.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 3.15s 1.13s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 62
% Syntax : Number of formulae : 217 ( 56 unt; 30 def)
% Number of atoms : 517 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 600 ( 300 ~; 270 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 52 ( 51 usr; 31 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 133 ( 0 sgn 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
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(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
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(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).
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] :
( n1(X0,X1,X1)
| ~ l0(X2)
| ~ 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(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(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
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(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(f224,axiom,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
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(f337,axiom,
! [X2,X3,X0,X1] :
( s4(X0)
| ~ p3(X1,X2,X3)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f343,axiom,
! [X0] :
( m5(X0,X0)
| ~ s4(X0)
| ~ m4(e,e) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_305) ).
fof(f369,negated_conjecture,
! [X0] : ~ m5(d,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f444,definition,
( spl0_20
<=> m4(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f446,plain,
( ~ m4(e,e)
| spl0_20 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f448,definition,
( spl0_21
<=> ! [X0] :
( m5(X0,X0)
| ~ s4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f449,plain,
( ! [X0] :
( m5(X0,X0)
| ~ s4(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f450,plain,
( ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f343,f448,f444]) ).
fof(f729,definition,
( spl0_92
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f730,plain,
( r0(b)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f775,definition,
( spl0_103
<=> ! [X1] : ~ n2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f776,plain,
( ! [X1] : ~ n2(X1)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f897,definition,
( spl0_133
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f898,plain,
( s1(b)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f901,definition,
( spl0_134
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f902,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| s2(X0) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f903,plain,
( ~ spl0_133
| spl0_134 ),
inference(avatar_split_clause,[],[f227,f901,f897]) ).
fof(f908,definition,
( spl0_136
<=> ! [X0] :
( q2(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f909,plain,
( ! [X0] :
( q2(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f912,definition,
( spl0_137
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f913,plain,
( l0(c)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f1111,definition,
( spl0_187
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
fof(f1112,plain,
( k0(b)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1153,definition,
( spl0_197
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
fof(f1154,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1156,definition,
( spl0_198
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1157,plain,
( ! [X2,X3,X0] :
( ~ s1(X2)
| l2(X0,X0)
| ~ m0(X3,X2,X0) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1158,plain,
( spl0_197
| spl0_198 ),
inference(avatar_split_clause,[],[f171,f1156,f1153]) ).
fof(f1182,definition,
( spl0_204
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
fof(f1190,definition,
( spl0_206
<=> p0(b,d) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
fof(f1191,plain,
( p0(b,d)
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1208,definition,
( spl0_210
<=> ! [X2] : ~ r0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
fof(f1209,plain,
( ! [X2] : ~ r0(X2)
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1288,definition,
( spl0_230
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
fof(f1289,plain,
( l0(a)
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1292,definition,
( spl0_231
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
fof(f1294,plain,
( p1(a,a,a)
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1295,plain,
( ~ spl0_230
| spl0_231 ),
inference(avatar_split_clause,[],[f126,f1292,f1288]) ).
fof(f1431,definition,
( spl0_264
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
fof(f1432,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1433,plain,
( ~ spl0_204
| spl0_264 ),
inference(avatar_split_clause,[],[f88,f1431,f1182]) ).
fof(f1460,definition,
( spl0_271
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
fof(f1461,plain,
( k1(a)
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1462,plain,
( ~ k1(a)
| spl0_271 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1540,definition,
( spl0_290
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
fof(f1541,plain,
( l1(c,c)
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1542,plain,
( ~ l1(c,c)
| spl0_290 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1556,definition,
( spl0_294
<=> ! [X1] :
( ~ l0(X1)
| ~ l1(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
fof(f1557,plain,
( ! [X1] :
( ~ l1(X1,X1)
| ~ l0(X1) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1559,definition,
( spl0_295
<=> ! [X0] :
( l1(X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
fof(f1560,plain,
( ! [X0] :
( l1(X0,X0)
| ~ k1(X0) )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1561,plain,
( spl0_294
| spl0_295 ),
inference(avatar_split_clause,[],[f42,f1559,f1556]) ).
fof(f1563,definition,
( spl0_296
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
fof(f1564,plain,
( ! [X2,X0,X1] :
( ~ p0(X2,X0)
| ~ m0(X1,X0,X2)
| l1(X0,X1) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1565,plain,
( spl0_210
| spl0_296 ),
inference(avatar_split_clause,[],[f41,f1563,f1208]) ).
fof(f1567,plain,
spl0_187,
inference(avatar_split_clause,[],[f32,f1111]) ).
fof(f1570,plain,
spl0_137,
inference(avatar_split_clause,[],[f24,f912]) ).
fof(f1572,plain,
spl0_230,
inference(avatar_split_clause,[],[f20,f1288]) ).
fof(f1576,plain,
spl0_206,
inference(avatar_split_clause,[],[f10,f1190]) ).
fof(f1577,plain,
spl0_92,
inference(avatar_split_clause,[],[f9,f729]) ).
fof(f1579,plain,
spl0_204,
inference(avatar_split_clause,[],[f5,f1182]) ).
fof(f1585,plain,
( $false
| ~ spl0_92
| ~ spl0_210 ),
inference(resolution,[],[f1209,f730]) ).
fof(f1588,plain,
( ~ spl0_92
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[],[f1585]) ).
fof(f1605,plain,
( $false
| ~ spl0_197 ),
inference(resolution,[],[f1154,f14]) ).
fof(f1606,plain,
~ spl0_197,
inference(avatar_contradiction_clause,[],[f1605]) ).
fof(f1672,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_271 ),
inference(resolution,[],[f39,f1462]) ).
fof(f1683,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1687,plain,
spl0_133,
inference(avatar_split_clause,[],[f1683,f897]) ).
fof(f1688,plain,
( $false
| spl0_271 ),
inference(resolution,[],[f1672,f37]) ).
fof(f1689,plain,
spl0_271,
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1735,plain,
( ! [X0] : ~ n0(X0,c)
| spl0_290 ),
inference(resolution,[],[f40,f1542]) ).
fof(f1743,plain,
( $false
| spl0_290 ),
inference(resolution,[],[f1735,f26]) ).
fof(f1744,plain,
spl0_290,
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1745,plain,
( ~ l0(c)
| ~ spl0_290
| ~ spl0_294 ),
inference(resolution,[],[f1541,f1557]) ).
fof(f1746,plain,
( $false
| ~ spl0_137
| ~ spl0_290
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f1745,f913]) ).
fof(f1747,plain,
( ~ spl0_137
| ~ spl0_290
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f1746]) ).
fof(f1754,plain,
( ! [X2,X0,X1] : ~ p1(X1,X2,X0)
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f175,f776]) ).
fof(f1757,plain,
( $false
| ~ spl0_103
| ~ spl0_231 ),
inference(resolution,[],[f1754,f1294]) ).
fof(f1760,plain,
( ~ spl0_103
| ~ spl0_231 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1822,plain,
( ! [X0] :
( q2(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_295 ),
inference(resolution,[],[f224,f1560]) ).
fof(f1826,plain,
( spl0_136
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f1822,f1559,f908]) ).
fof(f2108,plain,
( ! [X0,X1] :
( ~ m0(X1,b,X0)
| l2(X0,X0) )
| ~ spl0_133
| ~ spl0_198 ),
inference(resolution,[],[f1157,f898]) ).
fof(f2123,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0) )
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f1432,f14]) ).
fof(f2131,plain,
( l2(e,e)
| ~ spl0_133
| ~ spl0_198 ),
inference(resolution,[],[f2108,f31]) ).
fof(f2148,plain,
( ! [X0] :
( q2(X0,b,b)
| ~ p1(X0,X0,X0) )
| ~ spl0_187 ),
inference(resolution,[],[f215,f1112]) ).
fof(f2174,plain,
( ! [X0] :
( ~ m0(X0,d,b)
| l1(d,X0) )
| ~ spl0_206
| ~ spl0_296 ),
inference(resolution,[],[f1564,f1191]) ).
fof(f2177,plain,
( ! [X0] : l1(d,X0)
| ~ spl0_206
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f2174,f19]) ).
fof(f2394,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(f2396,definition,
( spl0_323
<=> s2(a) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
fof(f2398,plain,
( ~ s2(a)
| spl0_323 ),
inference(avatar_component_clause,[],[f2396]) ).
fof(f2400,definition,
( spl0_324
<=> ! [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_324])],[avatar_definition]) ).
fof(f2401,plain,
( ! [X2,X3,X0,X1,X4] :
( m4(X2,X4)
| ~ q2(X0,a,X0)
| ~ l2(X3,X4)
| ~ m0(X0,X1,X2) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f2400]) ).
fof(f2402,plain,
( ~ spl0_323
| spl0_324 ),
inference(avatar_split_clause,[],[f2394,f2400,f2396]) ).
fof(f2581,plain,
( ! [X0,X1] :
( s2(X1)
| ~ n1(X1,b,X0)
| ~ q2(X1,X0,b)
| ~ p1(b,b,X0) )
| ~ spl0_134 ),
inference(resolution,[],[f220,f902]) ).
fof(f2958,plain,
( ! [X0] :
( ~ q2(a,X0,b)
| ~ n1(a,b,X0)
| ~ p1(b,b,X0) )
| ~ spl0_134
| spl0_323 ),
inference(resolution,[],[f2581,f2398]) ).
fof(f3137,plain,
( ~ n1(a,b,b)
| ~ p1(b,b,b)
| ~ p1(a,a,a)
| ~ spl0_134
| ~ spl0_187
| spl0_323 ),
inference(resolution,[],[f2958,f2148]) ).
fof(f3138,plain,
( ~ n1(a,b,b)
| ~ p1(b,b,b)
| ~ spl0_134
| ~ spl0_187
| ~ spl0_231
| spl0_323 ),
inference(forward_subsumption_resolution,[],[f3137,f1294]) ).
fof(f3140,definition,
( spl0_397
<=> p1(b,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
fof(f3142,plain,
( ~ p1(b,b,b)
| spl0_397 ),
inference(avatar_component_clause,[],[f3140]) ).
fof(f3144,definition,
( spl0_398
<=> n1(a,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
fof(f3146,plain,
( ~ n1(a,b,b)
| spl0_398 ),
inference(avatar_component_clause,[],[f3144]) ).
fof(f3147,plain,
( ~ spl0_397
| ~ spl0_398
| ~ spl0_134
| ~ spl0_187
| ~ spl0_231
| spl0_323 ),
inference(avatar_split_clause,[],[f3138,f2396,f1292,f1111,f901,f3144,f3140]) ).
fof(f3149,plain,
( ~ p0(b,b)
| spl0_397 ),
inference(resolution,[],[f3142,f107]) ).
fof(f3173,plain,
( $false
| spl0_397 ),
inference(forward_subsumption_resolution,[],[f3149,f14]) ).
fof(f3174,plain,
spl0_397,
inference(avatar_contradiction_clause,[],[f3173]) ).
fof(f3191,definition,
( spl0_401
<=> n1(a,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
fof(f3193,plain,
( ~ n1(a,b,a)
| spl0_401 ),
inference(avatar_component_clause,[],[f3191]) ).
fof(f3195,definition,
( spl0_402
<=> ! [X0] :
( ~ l0(X0)
| ~ l1(X0,a) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
fof(f3196,plain,
( ! [X0] :
( ~ l0(X0)
| ~ l1(X0,a) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f3195]) ).
fof(f3269,plain,
( ~ l0(a)
| ~ spl0_264
| spl0_401 ),
inference(resolution,[],[f3193,f2123]) ).
fof(f3270,plain,
( $false
| ~ spl0_230
| ~ spl0_264
| spl0_401 ),
inference(forward_subsumption_resolution,[],[f3269,f1289]) ).
fof(f3271,plain,
( ~ spl0_230
| ~ spl0_264
| spl0_401 ),
inference(avatar_contradiction_clause,[],[f3270]) ).
fof(f3273,plain,
( ! [X2,X0,X1] :
( ~ q2(X0,a,X0)
| ~ l2(X1,e)
| ~ m0(X0,X2,e) )
| spl0_20
| ~ spl0_324 ),
inference(resolution,[],[f2401,f446]) ).
fof(f3277,definition,
( spl0_408
<=> ! [X1] : ~ l2(X1,e) ),
introduced(definition,[new_symbols(definition,[spl0_408])],[avatar_definition]) ).
fof(f3278,plain,
( ! [X1] : ~ l2(X1,e)
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f3277]) ).
fof(f3280,definition,
( spl0_409
<=> ! [X2,X0] :
( ~ q2(X0,a,X0)
| ~ m0(X0,X2,e) ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
fof(f3281,plain,
( ! [X2,X0] :
( ~ m0(X0,X2,e)
| ~ q2(X0,a,X0) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f3280]) ).
fof(f3286,plain,
( ~ s4(d)
| ~ spl0_21 ),
inference(resolution,[],[f449,f369]) ).
fof(f3287,plain,
( ! [X2,X0,X1] :
( ~ p3(X0,X1,X2)
| ~ l1(d,X1) )
| ~ spl0_21 ),
inference(resolution,[],[f3286,f337]) ).
fof(f3288,plain,
( ! [X2,X0,X1] : ~ p3(X0,X1,X2)
| ~ spl0_21
| ~ spl0_206
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f3287,f2177]) ).
fof(f3294,plain,
( ! [X0] : ~ n2(X0)
| ~ spl0_21
| ~ spl0_206
| ~ spl0_296 ),
inference(resolution,[],[f3288,f282]) ).
fof(f3322,plain,
( spl0_103
| ~ spl0_21
| ~ spl0_206
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f3294,f1563,f1190,f448,f775]) ).
fof(f3324,plain,
( ! [X0] :
( ~ l0(X0)
| ~ l1(X0,a)
| ~ n1(a,b,a) )
| spl0_398 ),
inference(resolution,[],[f3146,f92]) ).
fof(f3325,plain,
( ~ spl0_401
| spl0_402
| spl0_398 ),
inference(avatar_split_clause,[],[f3324,f3144,f3195,f3191]) ).
fof(f3331,plain,
( ~ l1(a,a)
| ~ spl0_230
| ~ spl0_402 ),
inference(resolution,[],[f3196,f1289]) ).
fof(f3333,plain,
( ~ k1(a)
| ~ spl0_230
| ~ spl0_295
| ~ spl0_402 ),
inference(resolution,[],[f3331,f1560]) ).
fof(f3336,plain,
( $false
| ~ spl0_230
| ~ spl0_271
| ~ spl0_295
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f3333,f1461]) ).
fof(f3337,plain,
( ~ spl0_230
| ~ spl0_271
| ~ spl0_295
| ~ spl0_402 ),
inference(avatar_contradiction_clause,[],[f3336]) ).
fof(f3338,plain,
( spl0_408
| spl0_409
| spl0_20
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f3273,f2400,f444,f3280,f3277]) ).
fof(f3342,plain,
( $false
| ~ spl0_133
| ~ spl0_198
| ~ spl0_408 ),
inference(resolution,[],[f3278,f2131]) ).
fof(f3349,plain,
( ~ spl0_133
| ~ spl0_198
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f3342]) ).
fof(f3353,plain,
( ! [X0] : ~ q2(X0,a,X0)
| ~ spl0_409 ),
inference(resolution,[],[f3281,f19]) ).
fof(f3362,plain,
( ~ k1(a)
| ~ spl0_136
| ~ spl0_409 ),
inference(resolution,[],[f3353,f909]) ).
fof(f3364,plain,
( $false
| ~ spl0_136
| ~ spl0_271
| ~ spl0_409 ),
inference(forward_subsumption_resolution,[],[f3362,f1461]) ).
fof(f3365,plain,
( ~ spl0_136
| ~ spl0_271
| ~ spl0_409 ),
inference(avatar_contradiction_clause,[],[f3364]) ).
cnf(s9,plain,
( ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f450]) ).
cnf(s62,plain,
( ~ spl0_133
| spl0_134 ),
inference(sat_conversion,[],[f903]) ).
cnf(s91,plain,
( spl0_197
| spl0_198 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s113,plain,
( ~ spl0_230
| spl0_231 ),
inference(sat_conversion,[],[f1295]) ).
cnf(s133,plain,
( ~ spl0_204
| spl0_264 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s154,plain,
( spl0_294
| spl0_295 ),
inference(sat_conversion,[],[f1561]) ).
cnf(s155,plain,
( spl0_210
| spl0_296 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s157,plain,
spl0_187,
inference(sat_conversion,[],[f1567]) ).
cnf(s160,plain,
spl0_137,
inference(sat_conversion,[],[f1570]) ).
cnf(s162,plain,
spl0_230,
inference(sat_conversion,[],[f1572]) ).
cnf(s166,plain,
spl0_206,
inference(sat_conversion,[],[f1576]) ).
cnf(s167,plain,
spl0_92,
inference(sat_conversion,[],[f1577]) ).
cnf(s169,plain,
spl0_204,
inference(sat_conversion,[],[f1579]) ).
cnf(s174,plain,
( ~ spl0_92
| ~ spl0_210 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s177,plain,
~ spl0_197,
inference(sat_conversion,[],[f1606]) ).
cnf(s205,plain,
spl0_133,
inference(sat_conversion,[],[f1687]) ).
cnf(s206,plain,
spl0_271,
inference(sat_conversion,[],[f1689]) ).
cnf(s228,plain,
spl0_290,
inference(sat_conversion,[],[f1744]) ).
cnf(s229,plain,
( ~ spl0_137
| ~ spl0_290
| ~ spl0_294 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s233,plain,
( ~ spl0_103
| ~ spl0_231 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s249,plain,
( spl0_136
| ~ spl0_295 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s327,plain,
( ~ spl0_323
| spl0_324 ),
inference(sat_conversion,[],[f2402]) ).
cnf(s433,plain,
( ~ spl0_134
| ~ spl0_187
| ~ spl0_231
| spl0_323
| ~ spl0_397
| ~ spl0_398 ),
inference(sat_conversion,[],[f3147]) ).
cnf(s437,plain,
spl0_397,
inference(sat_conversion,[],[f3174]) ).
cnf(s454,plain,
( ~ spl0_230
| ~ spl0_264
| spl0_401 ),
inference(sat_conversion,[],[f3271]) ).
cnf(s466,plain,
( ~ spl0_21
| spl0_103
| ~ spl0_206
| ~ spl0_296 ),
inference(sat_conversion,[],[f3322]) ).
cnf(s468,plain,
( spl0_398
| ~ spl0_401
| spl0_402 ),
inference(sat_conversion,[],[f3325]) ).
cnf(s470,plain,
( ~ spl0_230
| ~ spl0_271
| ~ spl0_295
| ~ spl0_402 ),
inference(sat_conversion,[],[f3337]) ).
cnf(s471,plain,
( spl0_20
| ~ spl0_324
| spl0_408
| spl0_409 ),
inference(sat_conversion,[],[f3338]) ).
cnf(s475,plain,
( ~ spl0_133
| ~ spl0_198
| ~ spl0_408 ),
inference(sat_conversion,[],[f3349]) ).
cnf(s476,plain,
( ~ spl0_136
| ~ spl0_271
| ~ spl0_409 ),
inference(sat_conversion,[],[f3365]) ).
cnf(s480,plain,
( ~ spl0_134
| ~ spl0_187
| ~ spl0_231
| spl0_323
| ~ spl0_398 ),
inference(rat,[],[s433,s437]) ).
cnf(s496,plain,
~ spl0_210,
inference(rat,[],[s174,s167]) ).
cnf(s499,plain,
~ spl0_294,
inference(rat,[],[s229,s228,s160]) ).
cnf(s503,plain,
spl0_296,
inference(rat,[],[s155,s496]) ).
cnf(s506,plain,
spl0_295,
inference(rat,[],[s154,s499]) ).
cnf(s507,plain,
spl0_136,
inference(rat,[],[s249,s506]) ).
cnf(s508,plain,
~ spl0_402,
inference(rat,[],[s470,s162,s206,s506]) ).
cnf(s509,plain,
~ spl0_409,
inference(rat,[],[s476,s206,s507]) ).
cnf(s534,plain,
spl0_264,
inference(rat,[],[s133,s169]) ).
cnf(s535,plain,
spl0_401,
inference(rat,[],[s454,s162,s534]) ).
cnf(s536,plain,
spl0_398,
inference(rat,[],[s468,s508,s535]) ).
cnf(s549,plain,
spl0_231,
inference(rat,[],[s113,s162]) ).
cnf(s550,plain,
~ spl0_103,
inference(rat,[],[s233,s549]) ).
cnf(s552,plain,
~ spl0_21,
inference(rat,[],[s466,s503,s166,s550]) ).
cnf(s589,plain,
spl0_198,
inference(rat,[],[s91,s177]) ).
cnf(s590,plain,
~ spl0_408,
inference(rat,[],[s475,s205,s589]) ).
cnf(s627,plain,
spl0_134,
inference(rat,[],[s62,s205]) ).
cnf(s628,plain,
spl0_323,
inference(rat,[],[s480,s536,s549,s157,s627]) ).
cnf(s631,plain,
spl0_324,
inference(rat,[],[s327,s628]) ).
cnf(s632,plain,
spl0_20,
inference(rat,[],[s471,s509,s590,s631]) ).
cnf(s688,plain,
$false,
inference(rat,[],[s9,s552,s632]) ).
fof(f3369,plain,
$false,
inference(avatar_sat_refutation,[],[s688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n016.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 15:41:33 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 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
% 3.15/1.13 % (3715129)Input is clausal, will run a generic CNF schedule.
% 3.15/1.13 % (3715136)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=499528908:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.15/1.13 % (3715138)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2734752416:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.15/1.13 % (3715139)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3071929182:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.15/1.13 % (3715134)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=396923044:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.15/1.13 % (3715135)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3027679849:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.15/1.13 % (3715140)dis-21_1_sil=8000:lcm=predicate:random_seed=3505690355: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)
% 3.15/1.13 % (3715137)lrs+10_1_sil=8000:sp=occurrence:random_seed=3724402595:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.15/1.13 % (3715137)Refutation not found, incomplete strategy
% 3.15/1.13 % (3715137)------------------------------
% 3.15/1.13 % (3715137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.13 % (3715137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.13 % (3715137)CaDiCaL version: 2.1.3
% 3.15/1.13 % (3715137)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.13 % (3715137)Time elapsed: 0.027 s
% 3.15/1.13 % (3715137)Peak memory usage: 89 MB
% 3.15/1.13 % (3715137)Instructions burned: 35 (million)
% 3.15/1.13 % (3715139)First to succeed.
% 3.15/1.13 % (3715139)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3715129"
% 3.15/1.13 % (3715140)Instruction limit reached!
% 3.15/1.13 % (3715140)------------------------------
% 3.15/1.13 % (3715140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.13 % (3715140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.13 % (3715140)CaDiCaL version: 2.1.3
% 3.15/1.13 % (3715140)Termination reason: Instruction limit
% 3.15/1.13 % (3715140)Termination phase: Saturation
% 3.15/1.13 % (3715140)Time elapsed: 0.056 s
% 3.15/1.13 % (3715140)Peak memory usage: 89 MB
% 3.15/1.13 % (3715140)Instructions burned: 118 (million)
% 3.15/1.13 % (3715138)Instruction limit reached!
% 3.15/1.13 % (3715138)------------------------------
% 3.15/1.13 % (3715138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.13 % (3715138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.13 % (3715138)CaDiCaL version: 2.1.3
% 3.15/1.13 % (3715138)Termination reason: Instruction limit
% 3.15/1.13 % (3715138)Termination phase: Saturation
% 3.15/1.13 % (3715138)Time elapsed: 0.072 s
% 3.15/1.13 % (3715138)Peak memory usage: 89 MB
% 3.15/1.13 % (3715138)Instructions burned: 114 (million)
% 3.15/1.13 % (3715148)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=1563492895:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.15/1.13 % (3715149)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3191371197: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)
% 3.15/1.13 % (3715148)Refutation not found, incomplete strategy
% 3.15/1.13 % (3715148)------------------------------
% 3.15/1.13 % (3715148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.13 % (3715148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.13 % (3715148)CaDiCaL version: 2.1.3
% 3.15/1.13 % (3715148)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.13 % (3715148)Time elapsed: 0.002 s
% 3.15/1.13 % (3715148)Peak memory usage: 87 MB
% 3.15/1.13 % (3715148)Instructions burned: 1 (million)
% 3.15/1.13 % (3715149)Refutation not found, incomplete strategy
% 3.15/1.13 % (3715149)------------------------------
% 3.15/1.13 % (3715149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.13 % (3715149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.13 % (3715149)CaDiCaL version: 2.1.3
% 3.15/1.13 % (3715149)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.13 % (3715149)Time elapsed: 0.013 s
% 3.15/1.13 % (3715149)Peak memory usage: 87 MB
% 3.15/1.13 % (3715149)Instructions burned: 22 (million)
% 3.15/1.13 % (3715137)------------------------------
% 3.15/1.13 % (3715137)------------------------------
% 3.15/1.13 % (3715139)Refutation found. Thanks to Tanya!
% 3.15/1.13 % SZS status Unsatisfiable for theBenchmark
% 3.15/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.33 % (3715139)------------------------------
% 4.06/1.33 % (3715139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.33 % (3715139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.33 % (3715139)CaDiCaL version: 2.1.3
% 4.06/1.33 % (3715139)Termination reason: Refutation
% 4.06/1.33 % (3715139)Time elapsed: 0.049 s
% 4.06/1.33 % (3715139)Peak memory usage: 91 MB
% 4.06/1.33 % (3715139)Instructions burned: 72 (million)
% 4.06/1.33 % (3715139)------------------------------
% 4.06/1.33 % (3715139)------------------------------
% 4.06/1.33 % (3715129)Success in time 0.491 s
% 4.06/1.33 % Vampire exiting
%------------------------------------------------------------------------------