%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:49:43 PM UTC 2026
% Result : Unsatisfiable 0.80s 0.96s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 46
% Syntax : Number of formulae : 156 ( 41 unt; 19 def)
% Number of atoms : 367 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 424 ( 213 ~; 192 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 20 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 95 ( 0 sgn 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f11,axiom,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f42,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ k1(X0)
| ~ l0(X1)
| ~ l1(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_004) ).
fof(f88,axiom,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ s0(b)
| ~ l0(X0)
| ~ p0(b,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_050) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f169,axiom,
! [X0,X1] :
( l2(X0,X1)
| ~ s1(X0)
| ~ n0(e,X1)
| ~ l2(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_131) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f223,axiom,
! [X2,X0,X1] :
( q2(X0,X0,X0)
| ~ n1(X1,d,X2)
| ~ k1(X0)
| ~ q2(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_185) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).
fof(f231,axiom,
! [X0,X1] :
( k3(X0,X0,X0)
| ~ s1(X0)
| ~ q2(d,X1,d)
| ~ s2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_193) ).
fof(f277,axiom,
( m3(b,b,b)
| ~ l2(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_239) ).
fof(f333,axiom,
! [X2,X3,X0,X1,X4] :
( ~ m3(X3,X4,X3)
| ~ k3(X2,X2,X0)
| ~ q2(X3,X1,X0)
| q4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_295) ).
fof(f340,axiom,
! [X0,X1] :
( l5(X0)
| ~ q4(X1,X1)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_302) ).
fof(f369,negated_conjecture,
~ l5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f556,definition,
( spl0_54
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f557,plain,
( ~ s0(d)
| spl0_54 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f681,definition,
( spl0_90
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f682,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f749,definition,
( spl0_109
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f750,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f751,plain,
( spl0_90
| spl0_109 ),
inference(avatar_split_clause,[],[f164,f749,f681]) ).
fof(f770,definition,
( spl0_115
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f771,plain,
( ~ s1(a)
| spl0_115 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f773,definition,
( spl0_116
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f774,plain,
( s2(d)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( ~ spl0_54
| ~ spl0_115
| spl0_116 ),
inference(avatar_split_clause,[],[f228,f773,f770,f556]) ).
fof(f781,definition,
( spl0_118
<=> ! [X1] :
( ~ q2(d,X1,d)
| ~ s2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f782,plain,
( ! [X1] :
( ~ q2(d,X1,d)
| ~ s2(X1) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f784,definition,
( spl0_119
<=> ! [X0] :
( k3(X0,X0,X0)
| ~ s1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f785,plain,
( ! [X0] :
( k3(X0,X0,X0)
| ~ s1(X0) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f786,plain,
( spl0_118
| spl0_119 ),
inference(avatar_split_clause,[],[f231,f784,f781]) ).
fof(f850,definition,
( spl0_138
<=> m3(b,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f851,plain,
( m3(b,b,b)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f871,definition,
( spl0_144
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f872,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f874,definition,
( spl0_145
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f875,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f876,plain,
( spl0_144
| spl0_145 ),
inference(avatar_split_clause,[],[f171,f874,f871]) ).
fof(f899,definition,
( spl0_152
<=> l2(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f900,plain,
( ~ l2(a,b)
| spl0_152 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f901,plain,
( ~ spl0_152
| spl0_138 ),
inference(avatar_split_clause,[],[f277,f850,f899]) ).
fof(f1046,definition,
( spl0_193
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f1047,plain,
( ~ s0(b)
| spl0_193 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1083,definition,
( spl0_203
<=> ! [X1] :
( ~ l0(X1)
| ~ l1(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
fof(f1084,plain,
( ! [X1] :
( ~ l1(X1,X1)
| ~ l0(X1) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1086,definition,
( spl0_204
<=> ! [X0] :
( l1(X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
fof(f1087,plain,
( ! [X0] :
( l1(X0,X0)
| ~ k1(X0) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1088,plain,
( spl0_203
| spl0_204 ),
inference(avatar_split_clause,[],[f42,f1086,f1083]) ).
fof(f1134,definition,
( spl0_217
<=> ! [X2,X1] :
( ~ n1(X1,d,X2)
| ~ q2(X2,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
fof(f1135,plain,
( ! [X2,X1] :
( ~ q2(X2,X2,X1)
| ~ n1(X1,d,X2) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1137,definition,
( spl0_218
<=> ! [X0] :
( q2(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
fof(f1138,plain,
( ! [X0] :
( q2(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1139,plain,
( spl0_217
| spl0_218 ),
inference(avatar_split_clause,[],[f223,f1137,f1134]) ).
fof(f1207,definition,
( spl0_238
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
fof(f1208,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1209,plain,
( ~ spl0_193
| spl0_238 ),
inference(avatar_split_clause,[],[f88,f1207,f1046]) ).
fof(f1367,definition,
( spl0_281
<=> ! [X1] : ~ q4(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
fof(f1368,plain,
( ! [X1] : ~ q4(X1,X1)
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1370,definition,
( spl0_282
<=> ! [X0] :
( l5(X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
fof(f1371,plain,
( ! [X0] :
( l5(X0)
| ~ k1(X0) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1372,plain,
( spl0_281
| spl0_282 ),
inference(avatar_split_clause,[],[f340,f1370,f1367]) ).
fof(f1417,plain,
( $false
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f557,f1]) ).
fof(f1418,plain,
spl0_54,
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1437,plain,
( $false
| spl0_193 ),
inference(forward_subsumption_resolution,[],[f1047,f5]) ).
fof(f1438,plain,
spl0_193,
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1439,plain,
( $false
| ~ spl0_144 ),
inference(resolution,[],[f872,f14]) ).
fof(f1440,plain,
~ spl0_144,
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1503,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f1504,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1509,plain,
k1(d),
inference(resolution,[],[f39,f34]) ).
fof(f1526,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f163,f682]) ).
fof(f1527,plain,
( spl0_144
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1526,f681,f871]) ).
fof(f1533,plain,
( ! [X0] : s1(X0)
| ~ spl0_109 ),
inference(resolution,[],[f750,f17]) ).
fof(f1537,plain,
( s1(a)
| ~ spl0_109 ),
inference(resolution,[],[f750,f36]) ).
fof(f1540,plain,
( $false
| ~ spl0_109
| spl0_115 ),
inference(forward_subsumption_resolution,[],[f1537,f771]) ).
fof(f1541,plain,
( ~ spl0_109
| spl0_115 ),
inference(avatar_contradiction_clause,[],[f1540]) ).
fof(f1577,plain,
( ! [X0,X1] :
( ~ n0(X0,X1)
| ~ l0(X1) )
| ~ spl0_203 ),
inference(resolution,[],[f40,f1084]) ).
fof(f1594,plain,
( ~ l0(c)
| ~ spl0_203 ),
inference(resolution,[],[f1577,f26]) ).
fof(f1602,plain,
( $false
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f1594,f24]) ).
fof(f1603,plain,
~ spl0_203,
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1661,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_109
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f875,f1533]) ).
fof(f1707,plain,
( ~ l1(d,d)
| ~ s2(d)
| ~ spl0_118 ),
inference(resolution,[],[f224,f782]) ).
fof(f1708,plain,
( ~ l1(d,d)
| ~ spl0_116
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f1707,f774]) ).
fof(f1717,plain,
( ~ k1(d)
| ~ spl0_116
| ~ spl0_118
| ~ spl0_204 ),
inference(resolution,[],[f1708,f1087]) ).
fof(f1719,plain,
( $false
| ~ spl0_116
| ~ spl0_118
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f1717,f1509]) ).
fof(f1720,plain,
( ~ spl0_116
| ~ spl0_118
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1721,plain,
( ! [X0] : k3(X0,X0,X0)
| ~ spl0_109
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f785,f1533]) ).
fof(f1764,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_109
| ~ spl0_145 ),
inference(resolution,[],[f1661,f19]) ).
fof(f1944,plain,
( ! [X0,X1] :
( ~ n1(X0,d,X1)
| ~ l1(X0,X1) )
| ~ spl0_217 ),
inference(resolution,[],[f1135,f224]) ).
fof(f2235,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0) )
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f1208,f14]) ).
fof(f2280,plain,
( ! [X0] :
( ~ l1(X0,X0)
| ~ l0(X0) )
| ~ spl0_217
| ~ spl0_238 ),
inference(resolution,[],[f1944,f2235]) ).
fof(f2284,plain,
( spl0_203
| ~ spl0_217
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2280,f1207,f1134,f1083]) ).
fof(f2494,plain,
( ! [X0,X1] :
( l2(X0,X1)
| ~ n0(e,X1)
| ~ l2(X1,X1) )
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f169,f1533]) ).
fof(f2495,plain,
( ! [X0,X1] :
( l2(X0,X1)
| ~ n0(e,X1) )
| ~ spl0_109
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f2494,f1764]) ).
fof(f2504,plain,
( ~ n0(e,b)
| ~ spl0_109
| ~ spl0_145
| spl0_152 ),
inference(resolution,[],[f2495,f900]) ).
fof(f2508,plain,
( $false
| ~ spl0_109
| ~ spl0_145
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f2504,f11]) ).
fof(f2509,plain,
( ~ spl0_109
| ~ spl0_145
| spl0_152 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
fof(f3130,plain,
( ! [X2,X0,X1] :
( ~ k3(X0,X0,X1)
| ~ q2(b,X2,X1)
| q4(X1,X2) )
| ~ spl0_138 ),
inference(resolution,[],[f333,f851]) ).
fof(f3671,plain,
( ! [X0,X1] :
( ~ q2(b,X0,X1)
| q4(X1,X0) )
| ~ spl0_109
| ~ spl0_119
| ~ spl0_138 ),
inference(resolution,[],[f3130,f1721]) ).
fof(f4334,plain,
( q4(b,b)
| ~ k1(b)
| ~ spl0_109
| ~ spl0_119
| ~ spl0_138
| ~ spl0_218 ),
inference(resolution,[],[f3671,f1138]) ).
fof(f4348,plain,
( ~ k1(b)
| ~ spl0_109
| ~ spl0_119
| ~ spl0_138
| ~ spl0_218
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f4334,f1368]) ).
fof(f4359,plain,
( $false
| ~ spl0_109
| ~ spl0_119
| ~ spl0_138
| ~ spl0_218
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f4348,f1503]) ).
fof(f4360,plain,
( ~ spl0_109
| ~ spl0_119
| ~ spl0_138
| ~ spl0_218
| ~ spl0_281 ),
inference(avatar_contradiction_clause,[],[f4359]) ).
fof(f4386,plain,
( ~ k1(c)
| ~ spl0_282 ),
inference(resolution,[],[f1371,f369]) ).
fof(f4387,plain,
( $false
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f4386,f1504]) ).
fof(f4388,plain,
~ spl0_282,
inference(avatar_contradiction_clause,[],[f4387]) ).
cnf(s52,plain,
( spl0_90
| spl0_109 ),
inference(sat_conversion,[],[f751]) ).
cnf(s55,plain,
( ~ spl0_54
| ~ spl0_115
| spl0_116 ),
inference(sat_conversion,[],[f775]) ).
cnf(s57,plain,
( spl0_118
| spl0_119 ),
inference(sat_conversion,[],[f786]) ).
cnf(s68,plain,
( spl0_144
| spl0_145 ),
inference(sat_conversion,[],[f876]) ).
cnf(s72,plain,
( spl0_138
| ~ spl0_152 ),
inference(sat_conversion,[],[f901]) ).
cnf(s102,plain,
( spl0_203
| spl0_204 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s111,plain,
( spl0_217
| spl0_218 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s121,plain,
( ~ spl0_193
| spl0_238 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s151,plain,
( spl0_281
| spl0_282 ),
inference(sat_conversion,[],[f1372]) ).
cnf(s160,plain,
spl0_54,
inference(sat_conversion,[],[f1418]) ).
cnf(s170,plain,
spl0_193,
inference(sat_conversion,[],[f1438]) ).
cnf(s171,plain,
~ spl0_144,
inference(sat_conversion,[],[f1440]) ).
cnf(s209,plain,
( ~ spl0_90
| spl0_144 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s211,plain,
( ~ spl0_109
| spl0_115 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s232,plain,
~ spl0_203,
inference(sat_conversion,[],[f1603]) ).
cnf(s258,plain,
( ~ spl0_116
| ~ spl0_118
| ~ spl0_204 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s337,plain,
( spl0_203
| ~ spl0_217
| ~ spl0_238 ),
inference(sat_conversion,[],[f2284]) ).
cnf(s354,plain,
( ~ spl0_109
| ~ spl0_145
| spl0_152 ),
inference(sat_conversion,[],[f2509]) ).
cnf(s551,plain,
( ~ spl0_109
| ~ spl0_119
| ~ spl0_138
| ~ spl0_218
| ~ spl0_281 ),
inference(sat_conversion,[],[f4360]) ).
cnf(s560,plain,
~ spl0_282,
inference(sat_conversion,[],[f4388]) ).
cnf(s580,plain,
~ spl0_90,
inference(rat,[],[s209,s171]) ).
cnf(s581,plain,
spl0_281,
inference(rat,[],[s151,s560]) ).
cnf(s615,plain,
spl0_238,
inference(rat,[],[s121,s170]) ).
cnf(s617,plain,
~ spl0_217,
inference(rat,[],[s337,s232,s615]) ).
cnf(s630,plain,
spl0_218,
inference(rat,[],[s111,s617]) ).
cnf(s644,plain,
spl0_204,
inference(rat,[],[s102,s232]) ).
cnf(s668,plain,
spl0_145,
inference(rat,[],[s68,s171]) ).
cnf(s672,plain,
( ~ spl0_115
| spl0_116 ),
inference(rat,[],[s55,s160]) ).
cnf(s678,plain,
spl0_109,
inference(rat,[],[s52,s580]) ).
cnf(s684,plain,
spl0_152,
inference(rat,[],[s354,s668,s678]) ).
cnf(s690,plain,
spl0_115,
inference(rat,[],[s211,s678]) ).
cnf(s692,plain,
spl0_138,
inference(rat,[],[s72,s684]) ).
cnf(s696,plain,
spl0_116,
inference(rat,[],[s672,s690]) ).
cnf(s697,plain,
~ spl0_119,
inference(rat,[],[s551,s581,s630,s678,s692]) ).
cnf(s701,plain,
~ spl0_118,
inference(rat,[],[s258,s644,s696]) ).
cnf(s705,plain,
$false,
inference(rat,[],[s57,s697,s701]) ).
fof(f4389,plain,
$false,
inference(avatar_sat_refutation,[],[s705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % 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 15:39:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.96 % (2724936)Input is clausal, will run a generic CNF schedule.
% 0.80/0.96 % (2724945)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=806633741:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.80/0.96 % (2724945)First to succeed.
% 0.80/0.96 % (2724945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2724936"
% 0.80/0.96 % (2724947)dis-21_1_sil=8000:lcm=predicate:random_seed=3745251625: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)
% 0.80/0.96 % (2724943)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=685761308:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.80/0.96 % (2724946)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1309132989:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.80/0.96 % (2724944)lrs+10_1_sil=8000:sp=occurrence:random_seed=3228016742:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.80/0.96 % (2724942)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2383417194:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.80/0.96 % (2724941)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=2652695242:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.80/0.96 % (2724944)Also succeeded, but the first one will report.
% 0.80/0.96 % (2724946)Also succeeded, but the first one will report.
% 0.80/0.96 % (2724947)Instruction limit reached!
% 0.80/0.96 % (2724947)------------------------------
% 0.80/0.96 % (2724947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.80/0.96 % (2724947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.96 % (2724947)CaDiCaL version: 2.1.3
% 0.80/0.96 % (2724947)Termination reason: Instruction limit
% 0.80/0.96 % (2724947)Termination phase: Saturation
% 0.80/0.96 % (2724947)Time elapsed: 0.056 s
% 0.80/0.96 % (2724947)Peak memory usage: 89 MB
% 0.80/0.96 % (2724947)Instructions burned: 119 (million)
% 0.80/0.96 % (2724945)Refutation found. Thanks to Tanya!
% 0.80/0.96 % SZS status Unsatisfiable for theBenchmark
% 0.80/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.08 % (2724945)------------------------------
% 2.66/1.08 % (2724945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.08 % (2724945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.08 % (2724945)CaDiCaL version: 2.1.3
% 2.66/1.08 % (2724945)Termination reason: Refutation
% 2.66/1.08 % (2724945)Time elapsed: 0.030 s
% 2.66/1.08 % (2724945)Peak memory usage: 91 MB
% 2.66/1.08 % (2724945)Instructions burned: 80 (million)
% 2.66/1.08 % (2724945)------------------------------
% 2.66/1.08 % (2724945)------------------------------
% 2.66/1.08 % (2724936)Success in time 0.303 s
% 2.66/1.08 % Vampire exiting
%------------------------------------------------------------------------------