%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN204-1 : 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 : n017.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 01:49:54 PM UTC 2026
% Result : Unsatisfiable 0.82s 0.96s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 45
% Syntax : Number of formulae : 151 ( 42 unt; 20 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 378 ( 188 ~; 170 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 21 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
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(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
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(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f83,axiom,
( n1(d,d,d)
| ~ q0(d,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_045) ).
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(f92,axiom,
! [X2,X0,X1] :
( n1(X0,X1,X1)
| ~ l0(X2)
| ~ l1(X2,X0)
| ~ n1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_054) ).
fof(f106,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_068) ).
fof(f113,axiom,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_075) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f215,axiom,
! [X0,X1] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rule_182) ).
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(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_273) ).
fof(f369,negated_conjecture,
~ s3(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f834,definition,
( spl0_134
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f835,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f891,definition,
( spl0_150
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f892,plain,
( p1(a,a,a)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f911,definition,
( spl0_155
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f912,plain,
( ~ s0(b)
| spl0_155 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f935,definition,
( spl0_161
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f936,plain,
( ~ s1(b)
| spl0_161 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f938,definition,
( spl0_162
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f939,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| s2(X0) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f940,plain,
( ~ spl0_161
| spl0_162 ),
inference(avatar_split_clause,[],[f227,f938,f935]) ).
fof(f1019,definition,
( spl0_185
<=> ! [X2,X1] :
( ~ n1(X1,d,X2)
| ~ q2(X2,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1020,plain,
( ! [X2,X1] :
( ~ q2(X2,X2,X1)
| ~ n1(X1,d,X2) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1022,definition,
( spl0_186
<=> ! [X0] :
( q2(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
fof(f1023,plain,
( ! [X0] :
( q2(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1024,plain,
( spl0_185
| spl0_186 ),
inference(avatar_split_clause,[],[f223,f1022,f1019]) ).
fof(f1153,definition,
( spl0_223
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
fof(f1154,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1155,plain,
( ~ spl0_155
| spl0_223 ),
inference(avatar_split_clause,[],[f88,f1153,f911]) ).
fof(f1168,definition,
( spl0_227
<=> ! [X3] : ~ r0(X3) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1169,plain,
( ! [X3] : ~ r0(X3)
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1171,definition,
( spl0_228
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
fof(f1172,plain,
( ! [X2,X0,X1] :
( ~ m0(X1,X0,X2)
| l1(X0,X1)
| ~ p0(X2,X0) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1173,plain,
( spl0_227
| spl0_228 ),
inference(avatar_split_clause,[],[f41,f1171,f1168]) ).
fof(f1235,definition,
( spl0_245
<=> q0(d,d) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
fof(f1236,plain,
( ~ q0(d,d)
| spl0_245 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1238,definition,
( spl0_246
<=> n1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
fof(f1239,plain,
( n1(d,d,d)
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1240,plain,
( ~ spl0_245
| spl0_246 ),
inference(avatar_split_clause,[],[f83,f1238,f1235]) ).
fof(f1347,definition,
( spl0_276
<=> p0(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
fof(f1348,plain,
( ~ p0(b,a)
| spl0_276 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1349,plain,
( ~ spl0_276
| spl0_150 ),
inference(avatar_split_clause,[],[f113,f891,f1347]) ).
fof(f1403,plain,
( $false
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f912,f5]) ).
fof(f1404,plain,
spl0_155,
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1411,plain,
( $false
| ~ spl0_227 ),
inference(resolution,[],[f1169,f9]) ).
fof(f1414,plain,
~ spl0_227,
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1425,plain,
( $false
| spl0_245 ),
inference(forward_subsumption_resolution,[],[f1236,f17]) ).
fof(f1426,plain,
spl0_245,
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1437,plain,
( $false
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f1348,f14]) ).
fof(f1438,plain,
spl0_276,
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1484,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f1505,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1506,plain,
( $false
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f1505,f936]) ).
fof(f1507,plain,
spl0_161,
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1581,plain,
spl0_134,
inference(avatar_split_clause,[],[f106,f834]) ).
fof(f1916,plain,
( ! [X0,X1] :
( ~ n1(X0,d,X1)
| ~ l1(X0,X1) )
| ~ spl0_185 ),
inference(resolution,[],[f1020,f224]) ).
fof(f2213,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0) )
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f1154,f14]) ).
fof(f2408,definition,
( spl0_317
<=> ! [X1] : ~ n0(X1,a) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
fof(f2409,plain,
( ! [X1] : ~ n0(X1,a)
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f2414,plain,
( $false
| ~ spl0_317 ),
inference(resolution,[],[f2409,f37]) ).
fof(f2415,plain,
~ spl0_317,
inference(avatar_contradiction_clause,[],[f2414]) ).
fof(f2433,plain,
( ! [X0,X1] :
( l1(d,X0)
| ~ p0(X1,d) )
| ~ spl0_228 ),
inference(resolution,[],[f1172,f19]) ).
fof(f2462,definition,
( spl0_325
<=> ! [X1] : ~ p0(X1,d) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
fof(f2463,plain,
( ! [X1] : ~ p0(X1,d)
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2465,definition,
( spl0_326
<=> ! [X0] : l1(d,X0) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
fof(f2466,plain,
( ! [X0] : l1(d,X0)
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f2467,plain,
( spl0_325
| spl0_326
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2433,f1171,f2465,f2462]) ).
fof(f2486,plain,
( $false
| ~ spl0_325 ),
inference(resolution,[],[f2463,f10]) ).
fof(f2489,plain,
~ spl0_325,
inference(avatar_contradiction_clause,[],[f2486]) ).
fof(f3181,plain,
( ! [X0,X1] :
( ~ q2(X1,X0,b)
| ~ n1(X1,b,X0)
| ~ p1(b,b,X0)
| s2(X1) )
| ~ spl0_162 ),
inference(resolution,[],[f220,f939]) ).
fof(f3632,definition,
( spl0_433
<=> s2(a) ),
introduced(definition,[new_symbols(definition,[spl0_433])],[avatar_definition]) ).
fof(f3633,plain,
( ~ s2(a)
| spl0_433 ),
inference(avatar_component_clause,[],[f3632]) ).
fof(f3700,plain,
( ~ l1(d,d)
| ~ spl0_185
| ~ spl0_246 ),
inference(resolution,[],[f1916,f1239]) ).
fof(f3704,plain,
( $false
| ~ spl0_185
| ~ spl0_246
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f3700,f2466]) ).
fof(f3705,plain,
( ~ spl0_185
| ~ spl0_246
| ~ spl0_326 ),
inference(avatar_contradiction_clause,[],[f3704]) ).
fof(f3727,plain,
( ! [X2,X0,X1] :
( ~ m0(X0,X2,X1)
| s3(X0,X1)
| ~ s2(X0)
| ~ k1(X0) )
| ~ spl0_186 ),
inference(resolution,[],[f1023,f311]) ).
fof(f3783,plain,
( ! [X0,X1] :
( s3(X0,X1)
| ~ s2(X0)
| ~ k1(X0) )
| ~ spl0_186 ),
inference(resolution,[],[f3727,f19]) ).
fof(f4148,plain,
( ! [X0] :
( ~ n1(X0,b,b)
| ~ p1(b,b,b)
| s2(X0)
| ~ k0(b)
| ~ p1(X0,X0,X0) )
| ~ spl0_162 ),
inference(resolution,[],[f3181,f215]) ).
fof(f4152,plain,
( ! [X0] :
( ~ n1(X0,b,b)
| s2(X0)
| ~ k0(b)
| ~ p1(X0,X0,X0) )
| ~ spl0_134
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f4148,f835]) ).
fof(f4154,plain,
( ! [X0] :
( ~ p1(X0,X0,X0)
| s2(X0)
| ~ n1(X0,b,b) )
| ~ spl0_134
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f4152,f32]) ).
fof(f4423,plain,
( ~ s2(a)
| ~ k1(a)
| ~ spl0_186 ),
inference(resolution,[],[f3783,f369]) ).
fof(f4776,plain,
( s2(a)
| ~ n1(a,b,b)
| ~ spl0_134
| ~ spl0_150
| ~ spl0_162 ),
inference(resolution,[],[f4154,f892]) ).
fof(f4800,plain,
( ~ n1(a,b,b)
| ~ spl0_134
| ~ spl0_150
| ~ spl0_162
| spl0_433 ),
inference(forward_subsumption_resolution,[],[f4776,f3633]) ).
fof(f4820,definition,
( spl0_484
<=> n1(a,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_484])],[avatar_definition]) ).
fof(f4821,plain,
( ~ n1(a,b,a)
| spl0_484 ),
inference(avatar_component_clause,[],[f4820]) ).
fof(f4823,definition,
( spl0_485
<=> ! [X0] :
( ~ l0(X0)
| ~ l1(X0,a) ) ),
introduced(definition,[new_symbols(definition,[spl0_485])],[avatar_definition]) ).
fof(f4824,plain,
( ! [X0] :
( ~ l1(X0,a)
| ~ l0(X0) )
| ~ spl0_485 ),
inference(avatar_component_clause,[],[f4823]) ).
fof(f4832,plain,
( ~ l0(a)
| ~ spl0_223
| spl0_484 ),
inference(resolution,[],[f4821,f2213]) ).
fof(f4833,plain,
( $false
| ~ spl0_223
| spl0_484 ),
inference(forward_subsumption_resolution,[],[f4832,f20]) ).
fof(f4834,plain,
( ~ spl0_223
| spl0_484 ),
inference(avatar_contradiction_clause,[],[f4833]) ).
fof(f4841,plain,
( ~ s2(a)
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f4423,f1484]) ).
fof(f4851,definition,
( spl0_489
<=> n1(a,b,b) ),
introduced(definition,[new_symbols(definition,[spl0_489])],[avatar_definition]) ).
fof(f4852,plain,
( ~ n1(a,b,b)
| spl0_489 ),
inference(avatar_component_clause,[],[f4851]) ).
fof(f4857,plain,
( ~ spl0_433
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f4841,f1022,f3632]) ).
fof(f4860,plain,
( ~ spl0_489
| ~ spl0_134
| ~ spl0_150
| ~ spl0_162
| spl0_433 ),
inference(avatar_split_clause,[],[f4800,f3632,f938,f891,f834,f4851]) ).
fof(f4864,plain,
( ! [X0] :
( ~ l0(X0)
| ~ l1(X0,a)
| ~ n1(a,b,a) )
| spl0_489 ),
inference(resolution,[],[f4852,f92]) ).
fof(f4865,plain,
( ~ spl0_484
| spl0_485
| spl0_489 ),
inference(avatar_split_clause,[],[f4864,f4851,f4823,f4820]) ).
fof(f4893,plain,
( ! [X0] :
( ~ l0(a)
| ~ n0(X0,a) )
| ~ spl0_485 ),
inference(resolution,[],[f4824,f40]) ).
fof(f4895,plain,
( ! [X0] : ~ n0(X0,a)
| ~ spl0_485 ),
inference(forward_subsumption_resolution,[],[f4893,f20]) ).
fof(f4897,plain,
( spl0_317
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f4895,f4823,f2408]) ).
cnf(s81,plain,
( ~ spl0_161
| spl0_162 ),
inference(sat_conversion,[],[f940]) ).
cnf(s92,plain,
( spl0_185
| spl0_186 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s112,plain,
( ~ spl0_155
| spl0_223 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s115,plain,
( spl0_227
| spl0_228 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s128,plain,
( ~ spl0_245
| spl0_246 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s147,plain,
( spl0_150
| ~ spl0_276 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s160,plain,
spl0_155,
inference(sat_conversion,[],[f1404]) ).
cnf(s165,plain,
~ spl0_227,
inference(sat_conversion,[],[f1414]) ).
cnf(s171,plain,
spl0_245,
inference(sat_conversion,[],[f1426]) ).
cnf(s177,plain,
spl0_276,
inference(sat_conversion,[],[f1438]) ).
cnf(s206,plain,
spl0_161,
inference(sat_conversion,[],[f1507]) ).
cnf(s229,plain,
spl0_134,
inference(sat_conversion,[],[f1581]) ).
cnf(s341,plain,
~ spl0_317,
inference(sat_conversion,[],[f2415]) ).
cnf(s346,plain,
( ~ spl0_228
| spl0_325
| spl0_326 ),
inference(sat_conversion,[],[f2467]) ).
cnf(s349,plain,
~ spl0_325,
inference(sat_conversion,[],[f2489]) ).
cnf(s489,plain,
( ~ spl0_185
| ~ spl0_246
| ~ spl0_326 ),
inference(sat_conversion,[],[f3705]) ).
cnf(s592,plain,
( ~ spl0_223
| spl0_484 ),
inference(sat_conversion,[],[f4834]) ).
cnf(s598,plain,
( ~ spl0_186
| ~ spl0_433 ),
inference(sat_conversion,[],[f4857]) ).
cnf(s600,plain,
( ~ spl0_134
| ~ spl0_150
| ~ spl0_162
| spl0_433
| ~ spl0_489 ),
inference(sat_conversion,[],[f4860]) ).
cnf(s602,plain,
( ~ spl0_484
| spl0_485
| spl0_489 ),
inference(sat_conversion,[],[f4865]) ).
cnf(s604,plain,
( spl0_317
| ~ spl0_485 ),
inference(sat_conversion,[],[f4897]) ).
cnf(s626,plain,
( ~ spl0_228
| spl0_326 ),
inference(rat,[],[s346,s349]) ).
cnf(s627,plain,
~ spl0_485,
inference(rat,[],[s604,s341]) ).
cnf(s638,plain,
spl0_150,
inference(rat,[],[s147,s177]) ).
cnf(s654,plain,
spl0_246,
inference(rat,[],[s128,s171]) ).
cnf(s671,plain,
spl0_228,
inference(rat,[],[s115,s165]) ).
cnf(s674,plain,
spl0_326,
inference(rat,[],[s626,s671]) ).
cnf(s678,plain,
~ spl0_185,
inference(rat,[],[s489,s654,s674]) ).
cnf(s681,plain,
spl0_223,
inference(rat,[],[s112,s160]) ).
cnf(s682,plain,
spl0_484,
inference(rat,[],[s592,s681]) ).
cnf(s684,plain,
spl0_489,
inference(rat,[],[s602,s627,s682]) ).
cnf(s695,plain,
spl0_186,
inference(rat,[],[s92,s678]) ).
cnf(s696,plain,
~ spl0_433,
inference(rat,[],[s598,s695]) ).
cnf(s698,plain,
~ spl0_162,
inference(rat,[],[s600,s684,s638,s229,s696]) ).
cnf(s702,plain,
$false,
inference(rat,[],[s81,s698,s206]) ).
fof(f4900,plain,
$false,
inference(avatar_sat_refutation,[],[s702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN204-1 : 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 : n017.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:33:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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
% 0.82/0.96 % (3646526)Input is clausal, will run a generic CNF schedule.
% 0.82/0.96 % (3646582)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1393385370:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.82/0.96 % (3646582)First to succeed.
% 0.82/0.96 % (3646582)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3646526"
% 0.82/0.96 % (3646583)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4102452999:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.82/0.96 % (3646581)lrs+10_1_sil=8000:sp=occurrence:random_seed=1162199937:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.82/0.96 % (3646579)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1555408161:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.82/0.96 % (3646578)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=2609666880:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.82/0.96 % (3646584)dis-21_1_sil=8000:lcm=predicate:random_seed=4149047977: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)
% 0.82/0.96 % (3646580)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1413603140:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.82/0.96 % (3646583)Also succeeded, but the first one will report.
% 0.82/0.96 % (3646581)Also succeeded, but the first one will report.
% 0.82/0.96 % (3646584)Instruction limit reached!
% 0.82/0.96 % (3646584)------------------------------
% 0.82/0.96 % (3646584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.82/0.96 % (3646584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.96 % (3646584)CaDiCaL version: 2.1.3
% 0.82/0.96 % (3646584)Termination reason: Instruction limit
% 0.82/0.96 % (3646584)Termination phase: Saturation
% 0.82/0.96 % (3646584)Time elapsed: 0.057 s
% 0.82/0.96 % (3646584)Peak memory usage: 89 MB
% 0.82/0.96 % (3646584)Instructions burned: 120 (million)
% 0.82/0.96 % (3646582)Refutation found. Thanks to Tanya!
% 0.82/0.96 % SZS status Unsatisfiable for theBenchmark
% 0.82/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.15 % (3646582)------------------------------
% 2.78/1.15 % (3646582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.15 % (3646582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.15 % (3646582)CaDiCaL version: 2.1.3
% 2.78/1.15 % (3646582)Termination reason: Refutation
% 2.78/1.15 % (3646582)Time elapsed: 0.034 s
% 2.78/1.15 % (3646582)Peak memory usage: 91 MB
% 2.78/1.15 % (3646582)Instructions burned: 92 (million)
% 2.78/1.15 % (3646582)------------------------------
% 2.78/1.15 % (3646582)------------------------------
% 2.78/1.15 % (3646526)Success in time 0.302 s
% 2.78/1.15 % Vampire exiting
%------------------------------------------------------------------------------