%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN171-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 02:06:56 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.44s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 46
% Syntax : Number of formulae : 150 ( 43 unt; 20 def)
% Number of atoms : 336 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 366 ( 180 ~; 166 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 40 ( 39 usr; 21 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/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_079) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f173,axiom,
! [X2,X0,X1] :
( m2(X0)
| ~ s0(X0)
| ~ l1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_135) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f263,axiom,
! [X2,X3,X0,X1] :
( ~ s2(X2)
| ~ m0(X2,X2,X1)
| ~ l2(X3,X0)
| ~ m0(X0,X3,X3)
| m3(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_225) ).
fof(f303,axiom,
! [X0,X1] :
( ~ l2(X1,X0)
| r3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_268) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f326,axiom,
! [X2,X3,X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0)
| ~ p4(X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).
fof(f369,negated_conjecture,
~ p4(d,a,a),
file('/export/starexec/sandbox/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(f595,definition,
( spl0_58
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f596,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f667,definition,
( spl0_76
<=> m2(d) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f668,plain,
( m2(d)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f711,definition,
( spl0_87
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f712,plain,
( s2(d)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f764,definition,
( spl0_100
<=> k3(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f766,plain,
( k3(c,c,c)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f865,definition,
( spl0_125
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f866,plain,
( s0(d)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f869,definition,
( spl0_126
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f871,plain,
( ~ s1(a)
| spl0_126 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( ~ spl0_125
| ~ spl0_126
| spl0_87 ),
inference(avatar_split_clause,[],[f228,f711,f869,f865]) ).
fof(f889,definition,
( spl0_131
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1083,definition,
( spl0_180
<=> n2(c) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
fof(f1085,plain,
( n2(c)
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1096,definition,
( spl0_183
<=> k1(c) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1097,plain,
( k1(c)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1098,plain,
( ~ k1(c)
| spl0_183 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1114,definition,
( spl0_187
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
fof(f1115,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1117,definition,
( spl0_188
<=> ! [X0] :
( m2(X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1118,plain,
( ! [X0] :
( ~ s0(X0)
| m2(X0) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1119,plain,
( spl0_187
| spl0_188 ),
inference(avatar_split_clause,[],[f173,f1117,f1114]) ).
fof(f1121,definition,
( spl0_189
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f1122,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1124,definition,
( spl0_190
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
fof(f1125,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1126,plain,
( spl0_189
| spl0_190 ),
inference(avatar_split_clause,[],[f171,f1124,f1121]) ).
fof(f1137,definition,
( spl0_193
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1139,plain,
( spl0_58
| spl0_193 ),
inference(avatar_split_clause,[],[f164,f1137,f595]) ).
fof(f1166,definition,
( spl0_200
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
fof(f1277,definition,
( spl0_227
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1278,plain,
( ! [X0] :
( ~ k1(X0)
| p1(X0,X0,X0) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1279,plain,
( ~ spl0_131
| ~ spl0_200
| spl0_227 ),
inference(avatar_split_clause,[],[f117,f1277,f1166,f889]) ).
fof(f1490,plain,
spl0_200,
inference(avatar_split_clause,[],[f28,f1166]) ).
fof(f1492,plain,
spl0_131,
inference(avatar_split_clause,[],[f24,f889]) ).
fof(f1501,plain,
spl0_125,
inference(avatar_split_clause,[],[f1,f865]) ).
fof(f1527,plain,
( $false
| ~ spl0_189 ),
inference(resolution,[],[f1122,f14]) ).
fof(f1528,plain,
~ spl0_189,
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1545,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1573,plain,
( $false
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f1545,f1098]) ).
fof(f1574,plain,
spl0_183,
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1579,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1580,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1579,f596]) ).
fof(f1581,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1586,plain,
( ! [X0] : s1(X0)
| ~ spl0_193 ),
inference(resolution,[],[f1138,f17]) ).
fof(f1589,plain,
( s1(a)
| ~ spl0_193 ),
inference(resolution,[],[f1138,f36]) ).
fof(f1592,plain,
( $false
| spl0_126
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f1589,f871]) ).
fof(f1593,plain,
( spl0_126
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1607,plain,
l1(e,e),
inference(resolution,[],[f40,f3]) ).
fof(f1629,plain,
( $false
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f1607,f1115]) ).
fof(f1630,plain,
~ spl0_187,
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1639,plain,
( m2(d)
| ~ spl0_125
| ~ spl0_188 ),
inference(resolution,[],[f1118,f866]) ).
fof(f1641,plain,
( spl0_76
| ~ spl0_125
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1639,f1117,f865,f667]) ).
fof(f1734,plain,
( p1(c,c,c)
| ~ spl0_183
| ~ spl0_227 ),
inference(resolution,[],[f1278,f1097]) ).
fof(f1750,plain,
( n2(c)
| ~ spl0_183
| ~ spl0_227 ),
inference(resolution,[],[f1734,f175]) ).
fof(f1751,plain,
( spl0_180
| ~ spl0_183
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f1750,f1277,f1096,f1083]) ).
fof(f1755,plain,
( k3(c,c,c)
| ~ spl0_180 ),
inference(resolution,[],[f1085,f248]) ).
fof(f1757,plain,
( spl0_100
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1755,f1083,f764]) ).
fof(f1922,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_190
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f1125,f1586]) ).
fof(f1939,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_190
| ~ spl0_193 ),
inference(resolution,[],[f1922,f19]) ).
fof(f1960,plain,
( ! [X0] : r3(X0,X0,X0)
| ~ spl0_190
| ~ spl0_193 ),
inference(resolution,[],[f1939,f303]) ).
fof(f2091,plain,
( p4(c,c,c)
| ~ spl0_100 ),
inference(resolution,[],[f325,f766]) ).
fof(f2092,plain,
( $false
| ~ spl0_6
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f2091,f390]) ).
fof(f2093,plain,
( ~ spl0_6
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f3129,plain,
( ! [X2,X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0)
| ~ r3(d,X2,X2) )
| ~ spl0_76 ),
inference(resolution,[],[f306,f668]) ).
fof(f3131,definition,
( spl0_352
<=> ! [X2] : ~ r3(d,X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
fof(f3132,plain,
( ! [X2] : ~ r3(d,X2,X2)
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f3134,definition,
( spl0_353
<=> ! [X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
fof(f3135,plain,
( ! [X0,X1] :
( ~ m3(X1,b,X0)
| r3(X0,X0,d) )
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f3134]) ).
fof(f3136,plain,
( spl0_352
| spl0_353
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f3129,f667,f3134,f3131]) ).
fof(f3145,plain,
( $false
| ~ spl0_190
| ~ spl0_193
| ~ spl0_352 ),
inference(resolution,[],[f3132,f1960]) ).
fof(f3146,plain,
( ~ spl0_190
| ~ spl0_193
| ~ spl0_352 ),
inference(avatar_contradiction_clause,[],[f3145]) ).
fof(f3223,plain,
( ! [X2,X0,X1] :
( ~ m0(d,d,X0)
| ~ l2(X1,X2)
| ~ m0(X2,X1,X1)
| m3(X2,X0,X2) )
| ~ spl0_87 ),
inference(resolution,[],[f263,f712]) ).
fof(f3225,plain,
( ! [X2,X0,X1] :
( ~ l2(X1,X2)
| ~ m0(X2,X1,X1)
| m3(X2,X0,X2) )
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f3223,f19]) ).
fof(f3886,plain,
( ! [X0,X1] :
( ~ m0(X0,X0,X0)
| m3(X0,X1,X0) )
| ~ spl0_87
| ~ spl0_190
| ~ spl0_193 ),
inference(resolution,[],[f3225,f1939]) ).
fof(f4260,plain,
( ! [X0] : m3(a,X0,a)
| ~ spl0_87
| ~ spl0_190
| ~ spl0_193 ),
inference(resolution,[],[f3886,f12]) ).
fof(f4326,plain,
( r3(a,a,d)
| ~ spl0_87
| ~ spl0_190
| ~ spl0_193
| ~ spl0_353 ),
inference(resolution,[],[f4260,f3135]) ).
fof(f5008,plain,
( p4(d,a,a)
| ~ spl0_35
| ~ spl0_87
| ~ spl0_190
| ~ spl0_193
| ~ spl0_353 ),
inference(resolution,[],[f4326,f503]) ).
fof(f5009,plain,
( $false
| ~ spl0_35
| ~ spl0_87
| ~ spl0_190
| ~ spl0_193
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f5008,f369]) ).
fof(f5010,plain,
( ~ spl0_35
| ~ spl0_87
| ~ spl0_190
| ~ spl0_193
| ~ spl0_353 ),
inference(avatar_contradiction_clause,[],[f5009]) ).
cnf(s16,plain,
( spl0_6
| spl0_35 ),
inference(sat_conversion,[],[f504]) ).
cnf(s57,plain,
( spl0_87
| ~ spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f872]) ).
cnf(s85,plain,
( spl0_187
| spl0_188 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s86,plain,
( spl0_189
| spl0_190 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s88,plain,
( spl0_58
| spl0_193 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s111,plain,
( ~ spl0_131
| ~ spl0_200
| spl0_227 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s145,plain,
spl0_200,
inference(sat_conversion,[],[f1490]) ).
cnf(s147,plain,
spl0_131,
inference(sat_conversion,[],[f1492]) ).
cnf(s156,plain,
spl0_125,
inference(sat_conversion,[],[f1501]) ).
cnf(s168,plain,
~ spl0_189,
inference(sat_conversion,[],[f1528]) ).
cnf(s186,plain,
spl0_183,
inference(sat_conversion,[],[f1574]) ).
cnf(s189,plain,
~ spl0_58,
inference(sat_conversion,[],[f1581]) ).
cnf(s191,plain,
( spl0_126
| ~ spl0_193 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s204,plain,
~ spl0_187,
inference(sat_conversion,[],[f1630]) ).
cnf(s209,plain,
( spl0_76
| ~ spl0_125
| ~ spl0_188 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s230,plain,
( spl0_180
| ~ spl0_183
| ~ spl0_227 ),
inference(sat_conversion,[],[f1751]) ).
cnf(s231,plain,
( spl0_100
| ~ spl0_180 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s259,plain,
( ~ spl0_6
| ~ spl0_100 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s352,plain,
( ~ spl0_76
| spl0_352
| spl0_353 ),
inference(sat_conversion,[],[f3136]) ).
cnf(s354,plain,
( ~ spl0_190
| ~ spl0_193
| ~ spl0_352 ),
inference(sat_conversion,[],[f3146]) ).
cnf(s458,plain,
( ~ spl0_35
| ~ spl0_87
| ~ spl0_190
| ~ spl0_193
| ~ spl0_353 ),
inference(sat_conversion,[],[f5010]) ).
cnf(s534,plain,
spl0_227,
inference(rat,[],[s111,s145,s147]) ).
cnf(s537,plain,
spl0_180,
inference(rat,[],[s230,s186,s534]) ).
cnf(s539,plain,
spl0_100,
inference(rat,[],[s231,s537]) ).
cnf(s541,plain,
~ spl0_6,
inference(rat,[],[s259,s539]) ).
cnf(s593,plain,
spl0_193,
inference(rat,[],[s88,s189]) ).
cnf(s596,plain,
spl0_126,
inference(rat,[],[s191,s593]) ).
cnf(s600,plain,
spl0_190,
inference(rat,[],[s86,s168]) ).
cnf(s602,plain,
~ spl0_352,
inference(rat,[],[s354,s593,s600]) ).
cnf(s608,plain,
spl0_188,
inference(rat,[],[s85,s204]) ).
cnf(s609,plain,
spl0_76,
inference(rat,[],[s209,s156,s608]) ).
cnf(s610,plain,
spl0_353,
inference(rat,[],[s352,s602,s609]) ).
cnf(s640,plain,
spl0_87,
inference(rat,[],[s57,s596,s156]) ).
cnf(s641,plain,
~ spl0_35,
inference(rat,[],[s458,s610,s593,s600,s640]) ).
cnf(s687,plain,
$false,
inference(rat,[],[s16,s641,s541]) ).
fof(f5011,plain,
$false,
inference(avatar_sat_refutation,[],[s687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN171-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 % Computer : n011.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 15:37:46 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.33 Running first-order model finding
% 0.27/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.44 % (3476717)Will run a generic schedule for satisfiability detection.
% 0.32/0.44 % (3476727)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1487251284:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.32/0.44 % (3476723)% WARNING: option uhcvi not known.
% 0.32/0.44 % (3476723)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=594745237:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.32/0.44 % (3476722)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2468449448_2999 on theBenchmark for (2999ds/0Mi)
% 0.32/0.44 % (3476725)dis+10_1_sil=32000:sp=arity:random_seed=1439945343:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.32/0.44 % (3476724)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1671367362:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.32/0.44 % (3476726)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2748923050:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.32/0.44 % (3476728)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3348430949:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.32/0.44 % (3476727) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3476717-3476727"...
% 0.32/0.44 % Detected minimum model sizes of [1]
% 0.32/0.44 % Detected maximum model sizes of [5]
% 0.32/0.44 % TRYING [1]
% 0.32/0.44 % (3476727)...printing done.
% 0.32/0.44 % TRYING [2]
% 0.32/0.44 % (3476727)Refutation found. Thanks to Tanya!
% 0.32/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.32/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.44 % (3476727)------------------------------
% 0.32/0.44 % (3476727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3476727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3476727)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3476727)Termination reason: Refutation
% 0.32/0.44 % (3476727)Time elapsed: 0.050 s
% 0.32/0.44 % (3476727)Peak memory usage: 14 MB
% 0.32/0.44 % (3476727)Instructions burned: 82 (million)
% 0.32/0.44 % (3476717)Success in time 0.096 s
% 0.32/0.44 % Vampire exiting
%------------------------------------------------------------------------------