%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN271-1 : 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 : 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 01:50:04 PM UTC 2026
% Result : Unsatisfiable 3.88s 1.27s
% Output : Refutation 4.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 61
% Syntax : Number of formulae : 215 ( 53 unt; 29 def)
% Number of atoms : 479 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 520 ( 256 ~; 235 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 51 ( 50 usr; 30 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
q0(e,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
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(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,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(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_021) ).
fof(f133,axiom,
! [X0,X1] :
( q1(X0,X1,X1)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_095) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_117) ).
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(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ m1(X2,X1,X0)
| ~ k1(X3)
| k2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( k2(X0,X0)
| ~ q1(X1,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).
fof(f168,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_130) ).
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(f173,axiom,
! [X2,X0,X1] :
( m2(X0)
| ~ s0(X0)
| ~ l1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_135) ).
fof(f226,axiom,
! [X0] :
( ~ r1(X0)
| r2(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).
fof(f269,axiom,
! [X0,X1] :
( ~ r2(X0)
| m3(X0,X1,X0)
| ~ k2(c,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_231) ).
fof(f290,axiom,
! [X2,X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0)
| ~ k2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_252) ).
fof(f303,axiom,
! [X0,X1] :
( ~ l2(X1,X0)
| r3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_265) ).
fof(f306,axiom,
! [X2,X3,X0,X1] :
( ~ m2(X1)
| r3(X0,X0,X1)
| ~ m3(X2,b,X0)
| ~ r3(X1,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_268) ).
fof(f326,axiom,
! [X2,X3,X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0)
| ~ p4(X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_288) ).
fof(f329,axiom,
! [X0,X1] :
( ~ p3(X1,X1,X0)
| p4(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_291) ).
fof(f369,negated_conjecture,
! [X0] : ~ p4(d,X0,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f389,definition,
( spl0_6
<=> ! [X0,X1] : ~ p4(X0,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f390,plain,
( ! [X0,X1] : ~ p4(X0,X0,X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f502,definition,
( spl0_35
<=> ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f503,plain,
( ! [X0,X1] :
( ~ r3(X1,X1,X0)
| p4(X0,X1,X1) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( spl0_6
| spl0_35 ),
inference(avatar_split_clause,[],[f326,f502,f389]) ).
fof(f530,definition,
( spl0_42
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f531,plain,
( q1(d,d,d)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f530]) ).
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(f617,definition,
( spl0_64
<=> k2(c,b) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f618,plain,
( k2(c,b)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f619,plain,
( ~ k2(c,b)
| spl0_64 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f626,definition,
( spl0_66
<=> ! [X2] : ~ k2(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f627,plain,
( ! [X2] : ~ k2(X2,X2)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f629,definition,
( spl0_67
<=> ! [X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f630,plain,
( ! [X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f631,plain,
( spl0_66
| spl0_67 ),
inference(avatar_split_clause,[],[f290,f629,f626]) ).
fof(f681,definition,
( spl0_80
<=> m2(d) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f682,plain,
( m2(d)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f683,plain,
( ~ m2(d)
| spl0_80 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f813,definition,
( spl0_113
<=> r2(a) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f814,plain,
( r2(a)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f813]) ).
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(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f877,plain,
( s0(d)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f876]) ).
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(f1042,definition,
( spl0_170
<=> r1(a) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1043,plain,
( r1(a)
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1044,plain,
( ~ r1(a)
| spl0_170 ),
inference(avatar_component_clause,[],[f1042]) ).
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(f1134,definition,
( spl0_192
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f1135,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1137,definition,
( spl0_193
<=> ! [X0] :
( m2(X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f1138,plain,
( ! [X0] :
( m2(X0)
| ~ s0(X0) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1139,plain,
( spl0_192
| spl0_193 ),
inference(avatar_split_clause,[],[f173,f1137,f1134]) ).
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(f1148,definition,
( spl0_196
<=> l1(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
fof(f1150,plain,
( ~ l1(e,e)
| spl0_196 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1152,definition,
( spl0_197
<=> k2(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
fof(f1154,plain,
( k2(e,e)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1155,plain,
( ~ spl0_196
| spl0_197 ),
inference(avatar_split_clause,[],[f168,f1152,f1148]) ).
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(f1161,definition,
( spl0_199
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1162,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1163,plain,
( ~ spl0_128
| spl0_199 ),
inference(avatar_split_clause,[],[f162,f1161,f876]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1189,plain,
( ~ spl0_128
| ~ spl0_205
| spl0_42 ),
inference(avatar_split_clause,[],[f155,f530,f1186,f876]) ).
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(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(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1581,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1582,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1581]) ).
fof(f1602,plain,
( ! [X0,X1] : ~ p3(X1,X1,X0)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f329,f390]) ).
fof(f1625,plain,
( ! [X0] :
( ~ q0(a,X0)
| ~ q1(d,X0,d) )
| spl0_170
| ~ spl0_199 ),
inference(resolution,[],[f1162,f1044]) ).
fof(f1654,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_191 ),
inference(resolution,[],[f39,f1131]) ).
fof(f1665,plain,
( $false
| spl0_191 ),
inference(resolution,[],[f1654,f7]) ).
fof(f1670,plain,
spl0_191,
inference(avatar_contradiction_clause,[],[f1665]) ).
fof(f1678,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1679,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1678,f602,f1141]) ).
fof(f1690,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1158,f869]) ).
fof(f1694,plain,
( $false
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1690,f17]) ).
fof(f1699,plain,
( spl0_126
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1694]) ).
fof(f1712,plain,
( ! [X0,X1] : ~ n0(X1,X0)
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f40,f1135]) ).
fof(f1713,plain,
( $false
| ~ spl0_192 ),
inference(resolution,[],[f1712,f3]) ).
fof(f1728,plain,
~ spl0_192,
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1729,plain,
( ~ s0(d)
| spl0_80
| ~ spl0_193 ),
inference(resolution,[],[f1138,f683]) ).
fof(f1730,plain,
( $false
| spl0_80
| ~ spl0_128
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f1729,f877]) ).
fof(f1731,plain,
( spl0_80
| ~ spl0_128
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f1730]) ).
fof(f1735,plain,
( ! [X0] : ~ n0(X0,e)
| spl0_196 ),
inference(resolution,[],[f40,f1150]) ).
fof(f1744,plain,
( $false
| spl0_196 ),
inference(resolution,[],[f1735,f3]) ).
fof(f1747,plain,
spl0_196,
inference(avatar_contradiction_clause,[],[f1744]) ).
fof(f1748,plain,
( $false
| ~ spl0_66
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f1154,f627]) ).
fof(f1749,plain,
( ~ spl0_66
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1750,plain,
( ! [X0,X1] : ~ q0(X1,X0)
| ~ spl0_6
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f630,f1602]) ).
fof(f1752,plain,
( $false
| ~ spl0_6
| ~ spl0_67 ),
inference(resolution,[],[f1750,f2]) ).
fof(f1765,plain,
( ~ spl0_6
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1941,plain,
( ~ q1(d,d,d)
| spl0_170
| ~ spl0_199 ),
inference(resolution,[],[f1625,f17]) ).
fof(f1943,plain,
( $false
| ~ spl0_42
| spl0_170
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f1941,f531]) ).
fof(f1944,plain,
( ~ spl0_42
| spl0_170
| ~ spl0_199 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1946,plain,
( r2(a)
| ~ l0(a)
| ~ spl0_170 ),
inference(resolution,[],[f1043,f226]) ).
fof(f1957,plain,
( r2(a)
| ~ spl0_170
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f1946,f1277]) ).
fof(f1958,plain,
( spl0_113
| ~ spl0_170
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f1957,f1276,f1042,f813]) ).
fof(f2103,plain,
( ! [X0] :
( m3(a,X0,a)
| ~ k2(c,X0) )
| ~ spl0_113 ),
inference(resolution,[],[f269,f814]) ).
fof(f2178,plain,
( ! [X0,X1] :
( l2(X0,X0)
| ~ m0(X1,d,X0) )
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f1145,f868]) ).
fof(f2182,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_126
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f2178,f19]) ).
fof(f2189,plain,
( ! [X0] : r3(X0,X0,X0)
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f2182,f303]) ).
fof(f2393,plain,
! [X2,X3,X0,X1] :
( ~ k1(X1)
| ~ m1(X0,X1,X2)
| k2(X2,X1)
| ~ q1(X3,X1,X1) ),
inference(resolution,[],[f165,f167]) ).
fof(f2565,plain,
( ! [X2,X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0)
| ~ r3(d,X2,X2) )
| ~ spl0_80 ),
inference(resolution,[],[f306,f682]) ).
fof(f2567,definition,
( spl0_332
<=> ! [X2] : ~ r3(d,X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
fof(f2568,plain,
( ! [X2] : ~ r3(d,X2,X2)
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f2567]) ).
fof(f2570,definition,
( spl0_333
<=> ! [X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
fof(f2571,plain,
( ! [X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f2572,plain,
( spl0_332
| spl0_333
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2565,f681,f2570,f2567]) ).
fof(f2582,plain,
( $false
| ~ spl0_126
| ~ spl0_195
| ~ spl0_332 ),
inference(resolution,[],[f2568,f2189]) ).
fof(f2583,plain,
( ~ spl0_126
| ~ spl0_195
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f2582]) ).
fof(f2814,plain,
( ! [X0,X1] :
( p4(d,X1,X1)
| ~ m3(X0,b,X1) )
| ~ spl0_35
| ~ spl0_333 ),
inference(resolution,[],[f2571,f503]) ).
fof(f2999,plain,
( ! [X2,X0,X1] :
( ~ m1(X0,b,X1)
| k2(X1,b)
| ~ q1(X2,b,b) )
| ~ spl0_191 ),
inference(resolution,[],[f2393,f1130]) ).
fof(f3002,definition,
( spl0_362
<=> ! [X2] : ~ q1(X2,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
fof(f3003,plain,
( ! [X2] : ~ q1(X2,b,b)
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f3002]) ).
fof(f3005,definition,
( spl0_363
<=> ! [X0,X1] :
( ~ m1(X0,b,X1)
| k2(X1,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
fof(f3006,plain,
( ! [X0,X1] :
( k2(X1,b)
| ~ m1(X0,b,X1) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f3005]) ).
fof(f3007,plain,
( spl0_362
| spl0_363
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f2999,f1129,f3005,f3002]) ).
fof(f3032,plain,
( ! [X0] : ~ p0(b,X0)
| ~ spl0_362 ),
inference(resolution,[],[f3003,f133]) ).
fof(f3046,plain,
( $false
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f3032,f14]) ).
fof(f3047,plain,
~ spl0_362,
inference(avatar_contradiction_clause,[],[f3046]) ).
fof(f3122,plain,
( ! [X0] : ~ m1(X0,b,c)
| spl0_64
| ~ spl0_363 ),
inference(resolution,[],[f3006,f619]) ).
fof(f3133,plain,
( ~ l0(c)
| ~ k0(b)
| spl0_64
| ~ spl0_363 ),
inference(resolution,[],[f3122,f59]) ).
fof(f3135,plain,
( ~ k0(b)
| spl0_64
| ~ spl0_134
| ~ spl0_363 ),
inference(forward_subsumption_resolution,[],[f3133,f901]) ).
fof(f3138,plain,
( $false
| spl0_64
| ~ spl0_134
| ~ spl0_184
| ~ spl0_363 ),
inference(forward_subsumption_resolution,[],[f3135,f1100]) ).
fof(f3139,plain,
( spl0_64
| ~ spl0_134
| ~ spl0_184
| ~ spl0_363 ),
inference(avatar_contradiction_clause,[],[f3138]) ).
fof(f3383,plain,
( ! [X0] : ~ m3(X0,b,a)
| ~ spl0_35
| ~ spl0_333 ),
inference(resolution,[],[f2814,f369]) ).
fof(f3387,plain,
( ~ k2(c,b)
| ~ spl0_35
| ~ spl0_113
| ~ spl0_333 ),
inference(resolution,[],[f3383,f2103]) ).
fof(f3388,plain,
( $false
| ~ spl0_35
| ~ spl0_64
| ~ spl0_113
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f3387,f618]) ).
fof(f3389,plain,
( ~ spl0_35
| ~ spl0_64
| ~ spl0_113
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f3388]) ).
cnf(s16,plain,
( spl0_6
| spl0_35 ),
inference(sat_conversion,[],[f504]) ).
cnf(s29,plain,
( spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f631]) ).
cnf(s88,plain,
( spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s89,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s90,plain,
( ~ spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s92,plain,
( ~ spl0_128
| spl0_199 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s96,plain,
( spl0_42
| ~ spl0_128
| ~ spl0_205 ),
inference(sat_conversion,[],[f1189]) ).
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(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s175,plain,
~ spl0_194,
inference(sat_conversion,[],[f1582]) ).
cnf(s205,plain,
spl0_191,
inference(sat_conversion,[],[f1670]) ).
cnf(s208,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s213,plain,
( spl0_126
| ~ spl0_198 ),
inference(sat_conversion,[],[f1699]) ).
cnf(s226,plain,
~ spl0_192,
inference(sat_conversion,[],[f1728]) ).
cnf(s227,plain,
( spl0_80
| ~ spl0_128
| ~ spl0_193 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s230,plain,
spl0_196,
inference(sat_conversion,[],[f1747]) ).
cnf(s231,plain,
( ~ spl0_66
| ~ spl0_197 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s238,plain,
( ~ spl0_6
| ~ spl0_67 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s275,plain,
( ~ spl0_42
| spl0_170
| ~ spl0_199 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s280,plain,
( spl0_113
| ~ spl0_170
| ~ spl0_227 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s356,plain,
( ~ spl0_80
| spl0_332
| spl0_333 ),
inference(sat_conversion,[],[f2572]) ).
cnf(s358,plain,
( ~ spl0_126
| ~ spl0_195
| ~ spl0_332 ),
inference(sat_conversion,[],[f2583]) ).
cnf(s421,plain,
( ~ spl0_191
| spl0_362
| spl0_363 ),
inference(sat_conversion,[],[f3007]) ).
cnf(s426,plain,
~ spl0_362,
inference(sat_conversion,[],[f3047]) ).
cnf(s449,plain,
( spl0_64
| ~ spl0_134
| ~ spl0_184
| ~ spl0_363 ),
inference(sat_conversion,[],[f3139]) ).
cnf(s482,plain,
( ~ spl0_35
| ~ spl0_64
| ~ spl0_113
| ~ spl0_333 ),
inference(sat_conversion,[],[f3389]) ).
cnf(s485,plain,
( ~ spl0_191
| spl0_363 ),
inference(rat,[],[s421,s426]) ).
cnf(s493,plain,
spl0_363,
inference(rat,[],[s485,s205]) ).
cnf(s495,plain,
~ spl0_60,
inference(rat,[],[s208,s175]) ).
cnf(s506,plain,
spl0_64,
inference(rat,[],[s449,s493,s158,s155]) ).
cnf(s575,plain,
spl0_42,
inference(rat,[],[s96,s156,s168]) ).
cnf(s580,plain,
spl0_199,
inference(rat,[],[s92,s168]) ).
cnf(s585,plain,
spl0_170,
inference(rat,[],[s275,s575,s580]) ).
cnf(s590,plain,
spl0_113,
inference(rat,[],[s280,s160,s585]) ).
cnf(s593,plain,
spl0_198,
inference(rat,[],[s91,s495]) ).
cnf(s596,plain,
spl0_126,
inference(rat,[],[s213,s593]) ).
cnf(s597,plain,
spl0_197,
inference(rat,[],[s90,s230]) ).
cnf(s598,plain,
~ spl0_66,
inference(rat,[],[s231,s597]) ).
cnf(s599,plain,
spl0_195,
inference(rat,[],[s89,s175]) ).
cnf(s601,plain,
~ spl0_332,
inference(rat,[],[s358,s596,s599]) ).
cnf(s611,plain,
spl0_193,
inference(rat,[],[s88,s226]) ).
cnf(s612,plain,
spl0_80,
inference(rat,[],[s227,s168,s611]) ).
cnf(s613,plain,
spl0_333,
inference(rat,[],[s356,s601,s612]) ).
cnf(s614,plain,
~ spl0_35,
inference(rat,[],[s482,s590,s506,s613]) ).
cnf(s676,plain,
spl0_67,
inference(rat,[],[s29,s598]) ).
cnf(s677,plain,
~ spl0_6,
inference(rat,[],[s238,s676]) ).
cnf(s690,plain,
$false,
inference(rat,[],[s16,s614,s677]) ).
fof(f3397,plain,
$false,
inference(avatar_sat_refutation,[],[s690]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN271-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n002.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 15:42:57 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.28 Running first-order theorem proving
% 0.08/0.28 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
% 3.88/1.27 % (466305)Input is clausal, will run a generic CNF schedule.
% 3.88/1.27 % (466315)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1964479530:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.88/1.27 % (466313)lrs+10_1_sil=8000:sp=occurrence:random_seed=531817562:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.88/1.27 % (466311)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1403579296:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.88/1.27 % (466316)dis-21_1_sil=8000:lcm=predicate:random_seed=984305213: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)
% 3.88/1.27 % (466310)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=182471846:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.88/1.27 % (466312)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1843399445:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.88/1.27 % (466314)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=881807358:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.88/1.27 % (466313)Refutation not found, incomplete strategy
% 3.88/1.27 % (466313)------------------------------
% 3.88/1.27 % (466313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.27 % (466313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.27 % (466313)CaDiCaL version: 2.1.3
% 3.88/1.27 % (466313)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.27 % (466313)Time elapsed: 0.017 s
% 3.88/1.27 % (466313)Peak memory usage: 88 MB
% 3.88/1.27 % (466313)Instructions burned: 14 (million)
% 3.88/1.27 % (466315)First to succeed.
% 3.88/1.27 % (466315)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-466305"
% 3.88/1.27 % (466314)Also succeeded, but the first one will report.
% 3.88/1.27 % (466316)Instruction limit reached!
% 3.88/1.27 % (466316)------------------------------
% 3.88/1.27 % (466316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.27 % (466316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.27 % (466316)CaDiCaL version: 2.1.3
% 3.88/1.27 % (466316)Termination reason: Instruction limit
% 3.88/1.27 % (466316)Termination phase: Saturation
% 3.88/1.27 % (466316)Time elapsed: 0.082 s
% 3.88/1.27 % (466316)Peak memory usage: 89 MB
% 3.88/1.27 % (466316)Instructions burned: 118 (million)
% 3.88/1.27 % (466313)------------------------------
% 3.88/1.27 % (466313)------------------------------
% 3.88/1.27 % (466315)Refutation found. Thanks to Tanya!
% 3.88/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.88/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 4.66/1.47 % (466315)------------------------------
% 4.66/1.47 % (466315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.47 % (466315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.47 % (466315)CaDiCaL version: 2.1.3
% 4.66/1.47 % (466315)Termination reason: Refutation
% 4.66/1.47 % (466315)Time elapsed: 0.044 s
% 4.66/1.47 % (466315)Peak memory usage: 91 MB
% 4.66/1.47 % (466315)Instructions burned: 70 (million)
% 4.66/1.47 % (466315)------------------------------
% 4.66/1.47 % (466315)------------------------------
% 4.66/1.47 % (466305)Success in time 0.577 s
% 4.66/1.47 % Vampire exiting
%------------------------------------------------------------------------------