%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN213-1 : 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 : n005.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 01:49:56 PM UTC 2026
% Result : Unsatisfiable 0.67s 0.97s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 43
% Syntax : Number of formulae : 146 ( 35 unt; 19 def)
% Number of atoms : 332 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 381 ( 195 ~; 167 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 39 ( 38 usr; 20 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
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(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f95,axiom,
! [X0] :
( n1(X0,X0,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_057) ).
fof(f131,axiom,
! [X0,X1] :
( q1(X0,X0,X0)
| ~ q0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_093) ).
fof(f154,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_116) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
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(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(f203,axiom,
! [X2,X0,X1] :
( p2(X0,X0,X0)
| ~ q1(X1,X2,X1)
| ~ p2(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_165) ).
fof(f208,axiom,
! [X0] :
( p2(X0,e,X0)
| ~ n1(X0,e,e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_170) ).
fof(f226,axiom,
! [X0] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f284,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ l2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_246) ).
fof(f296,axiom,
! [X2,X0,X1] :
( q3(X0,X0)
| ~ r2(X0)
| ~ s1(X1)
| ~ l2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_258) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f336,axiom,
! [X2,X3,X0,X1] :
( r4(X0)
| ~ n3(X0)
| ~ q3(X1,X2)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
fof(f367,axiom,
! [X0,X1] :
( s5(X0)
| ~ l4(X0)
| ~ r4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_329) ).
fof(f369,negated_conjecture,
~ s5(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f405,definition,
( spl0_11
<=> ! [X2] : ~ l2(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f406,plain,
( ! [X2] : ~ l2(X2,X2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f451,definition,
( spl0_24
<=> q1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f452,plain,
( ~ q1(e,e,e)
| spl0_24 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f461,definition,
( spl0_27
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f462,plain,
( ~ s0(d)
| spl0_27 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f478,definition,
( spl0_32
<=> ! [X2] : ~ l0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f479,plain,
( ! [X2] : ~ l0(X2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f765,definition,
( spl0_112
<=> n1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f766,plain,
( ~ n1(e,e,e)
| spl0_112 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f800,definition,
( spl0_122
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f801,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f802,plain,
( ~ spl0_27
| spl0_122 ),
inference(avatar_split_clause,[],[f162,f800,f461]) ).
fof(f897,definition,
( spl0_150
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f898,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f983,definition,
( spl0_174
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f984,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f986,definition,
( spl0_175
<=> ! [X0] :
( q3(X0,X0)
| ~ r2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f987,plain,
( ! [X0] :
( q3(X0,X0)
| ~ r2(X0) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f988,plain,
( spl0_11
| spl0_174
| spl0_175 ),
inference(avatar_split_clause,[],[f296,f986,f983,f405]) ).
fof(f997,definition,
( spl0_178
<=> ! [X2,X1] : ~ q3(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f998,plain,
( ! [X2,X1] : ~ q3(X1,X2)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1015,definition,
( spl0_183
<=> ! [X2,X1] : ~ p0(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1016,plain,
( ! [X2,X1] : ~ p0(X1,X2)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1038,definition,
( spl0_189
<=> ! [X2,X1] :
( ~ q1(X1,X2,X1)
| ~ p2(X1,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f1039,plain,
( ! [X2,X1] :
( ~ p2(X1,X1,X2)
| ~ q1(X1,X2,X1) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1041,definition,
( spl0_190
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
fof(f1042,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1043,plain,
( spl0_189
| spl0_190 ),
inference(avatar_split_clause,[],[f203,f1041,f1038]) ).
fof(f1114,definition,
( spl0_210
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
fof(f1115,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1116,plain,
( spl0_174
| spl0_210 ),
inference(avatar_split_clause,[],[f164,f1114,f983]) ).
fof(f1241,definition,
( spl0_246
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
fof(f1242,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1243,plain,
( spl0_150
| spl0_246 ),
inference(avatar_split_clause,[],[f171,f1241,f897]) ).
fof(f1345,definition,
( spl0_275
<=> ! [X0,X3] :
( r4(X0)
| ~ p0(X3,X0)
| ~ n3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
fof(f1346,plain,
( ! [X3,X0] :
( r4(X0)
| ~ p0(X3,X0)
| ~ n3(X0) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1347,plain,
( spl0_178
| spl0_275 ),
inference(avatar_split_clause,[],[f336,f1345,f997]) ).
fof(f1397,definition,
( spl0_290
<=> ! [X1] : ~ r4(X1) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
fof(f1398,plain,
( ! [X1] : ~ r4(X1)
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1400,definition,
( spl0_291
<=> ! [X0] :
( s5(X0)
| ~ l4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
fof(f1401,plain,
( ! [X0] :
( s5(X0)
| ~ l4(X0) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1402,plain,
( spl0_290
| spl0_291 ),
inference(avatar_split_clause,[],[f367,f1400,f1397]) ).
fof(f1410,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f462,f1]) ).
fof(f1411,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1414,plain,
( $false
| ~ spl0_32 ),
inference(resolution,[],[f479,f20]) ).
fof(f1417,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1440,plain,
( $false
| ~ spl0_150 ),
inference(resolution,[],[f898,f14]) ).
fof(f1441,plain,
~ spl0_150,
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1444,plain,
( $false
| ~ spl0_183 ),
inference(resolution,[],[f1016,f10]) ).
fof(f1449,plain,
~ spl0_183,
inference(avatar_contradiction_clause,[],[f1444]) ).
fof(f1526,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f163,f984]) ).
fof(f1527,plain,
( spl0_150
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f1526,f983,f897]) ).
fof(f1528,plain,
( ! [X2,X3,X0] :
( ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_11
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f1242,f406]) ).
fof(f1535,plain,
( ! [X0] : s1(X0)
| ~ spl0_210 ),
inference(resolution,[],[f1115,f17]) ).
fof(f1562,plain,
( ~ r0(e)
| spl0_112 ),
inference(resolution,[],[f95,f766]) ).
fof(f1563,plain,
( $false
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f1562,f13]) ).
fof(f1564,plain,
spl0_112,
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1576,plain,
( ~ r0(e)
| spl0_24 ),
inference(resolution,[],[f154,f452]) ).
fof(f1578,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f1576,f13]) ).
fof(f1579,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1626,plain,
( ! [X2,X3,X0] : ~ m0(X3,X2,X0)
| ~ spl0_11
| ~ spl0_210
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f1528,f1535]) ).
fof(f1627,plain,
( $false
| ~ spl0_11
| ~ spl0_210
| ~ spl0_246 ),
inference(resolution,[],[f1626,f19]) ).
fof(f1646,plain,
( ~ spl0_11
| ~ spl0_210
| ~ spl0_246 ),
inference(avatar_contradiction_clause,[],[f1627]) ).
fof(f1647,plain,
( ! [X0] : ~ r2(X0)
| ~ spl0_175
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f987,f998]) ).
fof(f1648,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_210
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f1242,f1535]) ).
fof(f1710,plain,
! [X0] :
( ~ l2(X0,X0)
| l4(X0) ),
inference(resolution,[],[f284,f315]) ).
fof(f1751,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_210
| ~ spl0_246 ),
inference(resolution,[],[f1648,f19]) ).
fof(f1770,plain,
( ! [X0] : l4(X0)
| ~ spl0_210
| ~ spl0_246 ),
inference(resolution,[],[f1751,f1710]) ).
fof(f1956,plain,
( ~ q1(e,e,e)
| ~ n1(e,e,e)
| ~ spl0_189 ),
inference(resolution,[],[f1039,f208]) ).
fof(f1962,plain,
( ~ spl0_112
| ~ spl0_24
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1956,f1038,f451,f765]) ).
fof(f1974,plain,
( ! [X0] : n3(X0)
| ~ spl0_190 ),
inference(resolution,[],[f1042,f278]) ).
fof(f2137,plain,
( ! [X0] :
( ~ r1(X0)
| ~ l0(X0) )
| ~ spl0_175
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f226,f1647]) ).
fof(f2139,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X0,d)
| ~ q0(X1,d) )
| ~ spl0_122 ),
inference(resolution,[],[f801,f131]) ).
fof(f2161,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X1,d) )
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f2139,f17]) ).
fof(f2168,definition,
( spl0_307
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
fof(f2169,plain,
( ! [X0] : r1(X0)
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2193,plain,
( ! [X0] : r1(X0)
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f2161,f17]) ).
fof(f2198,plain,
( spl0_307
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2193,f800,f2168]) ).
fof(f2199,plain,
( ! [X0] : ~ l0(X0)
| ~ spl0_175
| ~ spl0_178
| ~ spl0_307 ),
inference(resolution,[],[f2169,f2137]) ).
fof(f2206,plain,
( spl0_32
| ~ spl0_175
| ~ spl0_178
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f2199,f2168,f997,f986,f478]) ).
fof(f2208,plain,
( ! [X3,X0] :
( ~ p0(X3,X0)
| ~ n3(X0) )
| ~ spl0_275
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f1346,f1398]) ).
fof(f2210,plain,
( ! [X3,X0] : ~ p0(X3,X0)
| ~ spl0_190
| ~ spl0_275
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f2208,f1974]) ).
fof(f2211,plain,
( spl0_183
| ~ spl0_190
| ~ spl0_275
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f2210,f1397,f1345,f1041,f1015]) ).
fof(f2212,plain,
( ! [X0] : s5(X0)
| ~ spl0_210
| ~ spl0_246
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f1401,f1770]) ).
fof(f2214,plain,
( $false
| ~ spl0_210
| ~ spl0_246
| ~ spl0_291 ),
inference(resolution,[],[f2212,f369]) ).
fof(f2216,plain,
( ~ spl0_210
| ~ spl0_246
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f2214]) ).
cnf(s65,plain,
( ~ spl0_27
| spl0_122 ),
inference(sat_conversion,[],[f802]) ).
cnf(s92,plain,
( spl0_11
| spl0_174
| spl0_175 ),
inference(sat_conversion,[],[f988]) ).
cnf(s102,plain,
( spl0_189
| spl0_190 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s113,plain,
( spl0_174
| spl0_210 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s131,plain,
( spl0_150
| spl0_246 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s147,plain,
( spl0_178
| spl0_275 ),
inference(sat_conversion,[],[f1347]) ).
cnf(s154,plain,
( spl0_290
| spl0_291 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s156,plain,
spl0_27,
inference(sat_conversion,[],[f1411]) ).
cnf(s159,plain,
~ spl0_32,
inference(sat_conversion,[],[f1417]) ).
cnf(s171,plain,
~ spl0_150,
inference(sat_conversion,[],[f1441]) ).
cnf(s175,plain,
~ spl0_183,
inference(sat_conversion,[],[f1449]) ).
cnf(s208,plain,
( spl0_150
| ~ spl0_174 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s215,plain,
spl0_112,
inference(sat_conversion,[],[f1564]) ).
cnf(s223,plain,
spl0_24,
inference(sat_conversion,[],[f1579]) ).
cnf(s245,plain,
( ~ spl0_11
| ~ spl0_210
| ~ spl0_246 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s282,plain,
( ~ spl0_24
| ~ spl0_112
| ~ spl0_189 ),
inference(sat_conversion,[],[f1962]) ).
cnf(s317,plain,
( ~ spl0_122
| spl0_307 ),
inference(sat_conversion,[],[f2198]) ).
cnf(s321,plain,
( spl0_32
| ~ spl0_175
| ~ spl0_178
| ~ spl0_307 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s322,plain,
( spl0_183
| ~ spl0_190
| ~ spl0_275
| ~ spl0_290 ),
inference(sat_conversion,[],[f2211]) ).
cnf(s323,plain,
( ~ spl0_210
| ~ spl0_246
| ~ spl0_291 ),
inference(sat_conversion,[],[f2216]) ).
cnf(s325,plain,
~ spl0_189,
inference(rat,[],[s282,s223,s215]) ).
cnf(s326,plain,
~ spl0_174,
inference(rat,[],[s208,s171]) ).
cnf(s337,plain,
spl0_246,
inference(rat,[],[s131,s171]) ).
cnf(s342,plain,
spl0_210,
inference(rat,[],[s113,s326]) ).
cnf(s343,plain,
~ spl0_291,
inference(rat,[],[s323,s337,s342]) ).
cnf(s348,plain,
~ spl0_11,
inference(rat,[],[s245,s337,s342]) ).
cnf(s350,plain,
spl0_290,
inference(rat,[],[s154,s343]) ).
cnf(s359,plain,
spl0_190,
inference(rat,[],[s102,s325]) ).
cnf(s360,plain,
~ spl0_275,
inference(rat,[],[s322,s350,s175,s359]) ).
cnf(s361,plain,
spl0_178,
inference(rat,[],[s147,s360]) ).
cnf(s371,plain,
spl0_175,
inference(rat,[],[s92,s326,s348]) ).
cnf(s372,plain,
~ spl0_307,
inference(rat,[],[s321,s361,s159,s371]) ).
cnf(s373,plain,
~ spl0_122,
inference(rat,[],[s317,s372]) ).
cnf(s400,plain,
$false,
inference(rat,[],[s65,s373,s156]) ).
fof(f2217,plain,
$false,
inference(avatar_sat_refutation,[],[s400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:38:02 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.67/0.97 % (881780)Input is clausal, will run a generic CNF schedule.
% 0.67/0.97 % (881793)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3617855878:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.67/0.97 % (881793)First to succeed.
% 0.67/0.97 % (881793)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-881780"
% 0.67/0.97 % (881790)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4048880744:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.67/0.97 % (881794)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1276504606:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.67/0.97 % (881791)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1886863747:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.67/0.97 % (881789)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=266880222:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.67/0.97 % (881792)lrs+10_1_sil=8000:sp=occurrence:random_seed=3713072945:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.67/0.97 % (881795)dis-21_1_sil=8000:lcm=predicate:random_seed=2699040769: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)
% 0.67/0.97 % (881794)Also succeeded, but the first one will report.
% 0.67/0.97 % (881792)Also succeeded, but the first one will report.
% 0.67/0.97 % (881795)Also succeeded, but the first one will report.
% 0.67/0.97 % (881793)Refutation found. Thanks to Tanya!
% 0.67/0.97 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.16 % (881793)------------------------------
% 2.67/1.16 % (881793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.16 % (881793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.16 % (881793)CaDiCaL version: 2.1.3
% 2.67/1.16 % (881793)Termination reason: Refutation
% 2.67/1.16 % (881793)Time elapsed: 0.013 s
% 2.67/1.16 % (881793)Peak memory usage: 90 MB
% 2.67/1.16 % (881793)Instructions burned: 35 (million)
% 2.67/1.16 % (881793)------------------------------
% 2.67/1.16 % (881793)------------------------------
% 2.67/1.16 % (881780)Success in time 0.288 s
% 2.67/1.16 % Vampire exiting
%------------------------------------------------------------------------------