%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n013.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 02:06:50 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 59
% Syntax : Number of formulae : 217 ( 56 unt; 27 def)
% Number of atoms : 504 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 566 ( 279 ~; 260 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 51 ( 50 usr; 28 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 169 ( 0 sgn 169 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f42,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ k1(X0)
| ~ l0(X1)
| ~ l1(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_004) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f147,axiom,
! [X2,X0,X1] :
( q1(X0,X0,X1)
| ~ p0(X2,X2)
| ~ q0(X1,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_109) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f192,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_154) ).
fof(f215,axiom,
! [X0,X1] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f231,axiom,
! [X0,X1] :
( k3(X0,X0,X0)
| ~ s1(X0)
| ~ q2(d,X1,d)
| ~ s2(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_193) ).
fof(f276,axiom,
! [X0] :
( m3(X0,X0,X0)
| ~ p2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_238) ).
fof(f279,axiom,
! [X2,X3,X0,X1] :
( p3(X0,X1,X2)
| ~ q2(X3,d,X0)
| ~ k2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_241) ).
fof(f315,axiom,
! [X2,X0,X1] :
( l4(X0)
| ~ p3(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f333,axiom,
! [X2,X3,X0,X1,X4] :
( q4(X0,X1)
| ~ k3(X2,X2,X0)
| ~ q2(X3,X1,X0)
| ~ m3(X3,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f334,axiom,
! [X2,X0,X1] :
( q4(X0,X0)
| ~ r1(X0)
| ~ l4(X1)
| ~ q4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_296) ).
fof(f340,axiom,
! [X0,X1] :
( l5(X0)
| ~ q4(X1,X1)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_302) ).
fof(f369,negated_conjecture,
~ l5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f370,plain,
~ s0(d),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f373,plain,
~ l0(c),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f374,plain,
! [X0,X1] :
( ~ l1(X0,X0)
| ~ n0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f376,plain,
! [X0,X1] :
( ~ l1(X0,X0)
| ~ k1(X0)
| l0(X1)
| l1(X1,X1) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f428,plain,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| s0(d)
| ~ q1(d,X1,d) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f453,plain,
! [X0] :
( ~ p2(X0,X0,X0)
| ~ q1(X0,X0,X0) ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f476,plain,
! [X0,X1] :
( ~ q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f480,plain,
! [X0] :
( ~ q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f485,plain,
! [X0,X1] :
( ~ q2(X0,X0,X1)
| l1(X1,X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f489,plain,
( s2(d)
| ~ s1(a)
| s0(d) ),
inference(consistent_polarity_flipping,[],[f228]) ).
fof(f491,plain,
! [X0,X1] :
( k3(X0,X0,X0)
| ~ s1(X0)
| q2(d,X1,d)
| ~ s2(X1) ),
inference(consistent_polarity_flipping,[],[f231]) ).
fof(f527,plain,
! [X0] :
( m3(X0,X0,X0)
| p2(X0,X0,X0) ),
inference(consistent_polarity_flipping,[],[f276]) ).
fof(f530,plain,
! [X2,X3,X0,X1] :
( ~ p3(X0,X1,X2)
| q2(X3,d,X0)
| ~ k2(X1,X2) ),
inference(consistent_polarity_flipping,[],[f279]) ).
fof(f562,plain,
! [X2,X0,X1] :
( p3(X1,X2,X0)
| l4(X0) ),
inference(consistent_polarity_flipping,[],[f315]) ).
fof(f572,plain,
! [X2,X3,X0,X1,X4] :
( ~ k3(X2,X2,X0)
| ~ q4(X0,X1)
| q2(X3,X1,X0)
| ~ m3(X3,X4,X3) ),
inference(consistent_polarity_flipping,[],[f333]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ q4(X0,X0)
| ~ r1(X0)
| ~ l4(X1)
| q4(X1,X2) ),
inference(consistent_polarity_flipping,[],[f334]) ).
fof(f579,plain,
! [X0,X1] :
( l5(X0)
| q4(X1,X1)
| ~ k1(X0) ),
inference(consistent_polarity_flipping,[],[f340]) ).
fof(f656,definition,
( spl0_18
<=> ! [X1] : q4(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f657,plain,
( ! [X1] : q4(X1,X1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f659,definition,
( spl0_19
<=> ! [X0] :
( l5(X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f660,plain,
( ! [X0] :
( ~ k1(X0)
| l5(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f661,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f579,f659,f656]) ).
fof(f699,definition,
( spl0_29
<=> ! [X2,X1] :
( ~ l4(X1)
| q4(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f700,plain,
( ! [X2,X1] :
( ~ l4(X1)
| q4(X1,X2) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f702,definition,
( spl0_30
<=> ! [X0] :
( ~ q4(X0,X0)
| ~ r1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f703,plain,
( ! [X0] :
( ~ q4(X0,X0)
| ~ r1(X0) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f573,f702,f699]) ).
fof(f778,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f779,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f821,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f822,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f944,definition,
( spl0_91
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f945,plain,
( s2(d)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f1079,definition,
( spl0_124
<=> ! [X1] :
( q2(d,X1,d)
| ~ s2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f1080,plain,
( ! [X1] :
( q2(d,X1,d)
| ~ s2(X1) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1082,definition,
( spl0_125
<=> ! [X0] :
( k3(X0,X0,X0)
| ~ s1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f1083,plain,
( ! [X0] :
( k3(X0,X0,X0)
| ~ s1(X0) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1084,plain,
( spl0_124
| spl0_125 ),
inference(avatar_split_clause,[],[f491,f1082,f1079]) ).
fof(f1095,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1099,definition,
( spl0_129
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1102,plain,
( spl0_128
| ~ spl0_129
| spl0_91 ),
inference(avatar_split_clause,[],[f489,f944,f1099,f1095]) ).
fof(f1119,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1120,plain,
( ~ l0(c)
| spl0_134 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1202,definition,
( spl0_155
<=> ! [X0] : ~ p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1203,plain,
( ! [X0] : ~ p2(X0,X0,X0)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1252,definition,
( spl0_168
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1253,plain,
( k1(d)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1335,definition,
( spl0_188
<=> k1(c) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1336,plain,
( k1(c)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1360,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1361,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1376,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1377,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1378,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1376,f821]) ).
fof(f1380,definition,
( spl0_199
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1381,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1382,plain,
( spl0_128
| spl0_199 ),
inference(avatar_split_clause,[],[f428,f1380,f1095]) ).
fof(f1405,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1406,plain,
( k0(e)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1439,definition,
( spl0_213
<=> ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f1440,plain,
( ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1441,plain,
( spl0_194
| spl0_213 ),
inference(avatar_split_clause,[],[f147,f1439,f1360]) ).
fof(f1747,definition,
( spl0_287
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
fof(f1748,plain,
( ~ l1(c,c)
| spl0_287 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1749,plain,
( l1(c,c)
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1763,definition,
( spl0_291
<=> ! [X1] :
( l0(X1)
| l1(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
fof(f1764,plain,
( ! [X1] :
( l1(X1,X1)
| l0(X1) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1766,definition,
( spl0_292
<=> ! [X0] :
( ~ l1(X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
fof(f1767,plain,
( ! [X0] :
( ~ l1(X0,X0)
| ~ k1(X0) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1768,plain,
( spl0_291
| spl0_292 ),
inference(avatar_split_clause,[],[f376,f1766,f1763]) ).
fof(f1773,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f778]) ).
fof(f1775,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1405]) ).
fof(f1777,plain,
~ spl0_134,
inference(avatar_split_clause,[],[f373,f1119]) ).
fof(f1787,plain,
~ spl0_128,
inference(avatar_split_clause,[],[f370,f1095]) ).
fof(f1802,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1361,f14]) ).
fof(f1803,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1802]) ).
fof(f1850,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1855,plain,
( k1(d)
| ~ spl0_49 ),
inference(resolution,[],[f39,f779]) ).
fof(f1856,plain,
( spl0_168
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1855,f778,f1252]) ).
fof(f1865,plain,
spl0_188,
inference(avatar_split_clause,[],[f1850,f1335]) ).
fof(f1878,plain,
( l5(c)
| ~ spl0_19
| ~ spl0_188 ),
inference(resolution,[],[f1336,f660]) ).
fof(f1879,plain,
( $false
| ~ spl0_19
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f1878,f369]) ).
fof(f1880,plain,
( ~ spl0_19
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1881,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f822]) ).
fof(f1882,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1881,f821,f1360]) ).
fof(f1890,plain,
( ! [X0] : s1(X0)
| ~ spl0_198 ),
inference(resolution,[],[f1377,f17]) ).
fof(f1893,plain,
( s1(a)
| ~ spl0_198 ),
inference(resolution,[],[f1377,f36]) ).
fof(f1901,plain,
( spl0_129
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f1893,f1376,f1099]) ).
fof(f1945,plain,
( ! [X0] : ~ n0(X0,c)
| ~ spl0_287 ),
inference(resolution,[],[f374,f1749]) ).
fof(f1956,plain,
( $false
| ~ spl0_287 ),
inference(backward_subsumption_resolution,[],[f26,f1945]) ).
fof(f1957,plain,
~ spl0_287,
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1959,plain,
( l0(c)
| spl0_287
| ~ spl0_291 ),
inference(resolution,[],[f1748,f1764]) ).
fof(f1960,plain,
( $false
| spl0_134
| spl0_287
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f1959,f1120]) ).
fof(f1961,plain,
( spl0_134
| spl0_287
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f1960]) ).
fof(f2021,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f2054,plain,
( l1(d,d)
| ~ s2(d)
| ~ spl0_124 ),
inference(resolution,[],[f485,f1080]) ).
fof(f2065,plain,
( l1(d,d)
| ~ spl0_91
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2054,f945]) ).
fof(f2072,plain,
( ~ k1(d)
| ~ spl0_91
| ~ spl0_124
| ~ spl0_292 ),
inference(resolution,[],[f2065,f1767]) ).
fof(f2074,plain,
( $false
| ~ spl0_91
| ~ spl0_124
| ~ spl0_168
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f2072,f1253]) ).
fof(f2075,plain,
( ~ spl0_91
| ~ spl0_124
| ~ spl0_168
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f2074]) ).
fof(f2076,plain,
( ! [X0] : k3(X0,X0,X0)
| ~ spl0_125
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f1083,f1890]) ).
fof(f2158,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f148,f19]) ).
fof(f2207,plain,
! [X0] : ~ p2(X0,X0,X0),
inference(backward_subsumption_resolution,[],[f453,f2158]) ).
fof(f2208,plain,
! [X0] : k2(X0,X0),
inference(resolution,[],[f2158,f167]) ).
fof(f2209,plain,
spl0_155,
inference(avatar_split_clause,[],[f2207,f1202]) ).
fof(f2210,plain,
! [X0] : ~ q2(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f480,f2021]) ).
fof(f2215,plain,
( ! [X0] : m3(X0,X0,X0)
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f527,f1203]) ).
fof(f2432,definition,
( spl0_305
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
fof(f2433,plain,
( ! [X0] : r1(X0)
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f2441,plain,
( ! [X0] :
( ~ k1(d)
| ~ q0(d,d)
| r1(X0)
| ~ q0(X0,d) )
| ~ spl0_199
| ~ spl0_213 ),
inference(resolution,[],[f1440,f1381]) ).
fof(f2442,plain,
( ! [X0] :
( ~ q0(d,d)
| r1(X0)
| ~ q0(X0,d) )
| ~ spl0_168
| ~ spl0_199
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2441,f1253]) ).
fof(f2443,plain,
( ! [X0] :
( r1(X0)
| ~ q0(X0,d) )
| ~ spl0_168
| ~ spl0_199
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2442,f17]) ).
fof(f2444,plain,
( ! [X0] : r1(X0)
| ~ spl0_168
| ~ spl0_199
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2443,f17]) ).
fof(f2445,plain,
( spl0_305
| ~ spl0_168
| ~ spl0_199
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2444,f1439,f1380,f1252,f2432]) ).
fof(f2603,plain,
! [X0,X1] :
( ~ q2(X0,X1,X1)
| ~ k0(X1) ),
inference(forward_subsumption_resolution,[],[f476,f2021]) ).
fof(f2703,plain,
! [X2,X3,X0,X1] :
( q2(X0,d,X1)
| ~ k2(X2,X3)
| l4(X3) ),
inference(resolution,[],[f530,f562]) ).
fof(f2708,definition,
( spl0_328
<=> ! [X2,X3] :
( ~ k2(X2,X3)
| l4(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
fof(f2709,plain,
( ! [X2,X3] :
( ~ k2(X2,X3)
| l4(X3) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f2711,definition,
( spl0_329
<=> ! [X0,X1] : q2(X0,d,X1) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
fof(f2712,plain,
( ! [X0,X1] : q2(X0,d,X1)
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f2711]) ).
fof(f2713,plain,
( spl0_328
| spl0_329 ),
inference(avatar_split_clause,[],[f2703,f2711,f2708]) ).
fof(f2766,definition,
( spl0_337
<=> ! [X2] : ~ k0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
fof(f2767,plain,
( ! [X2] : ~ k0(X2)
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f2781,plain,
( $false
| ~ spl0_205
| ~ spl0_337 ),
inference(backward_subsumption_resolution,[],[f1406,f2767]) ).
fof(f2783,plain,
( ~ spl0_205
| ~ spl0_337 ),
inference(avatar_contradiction_clause,[],[f2781]) ).
fof(f3119,plain,
( ! [X0] : l4(X0)
| ~ spl0_328 ),
inference(resolution,[],[f2709,f2208]) ).
fof(f3128,plain,
( ! [X2,X1] : q4(X1,X2)
| ~ spl0_29
| ~ spl0_328 ),
inference(backward_subsumption_resolution,[],[f700,f3119]) ).
fof(f3129,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ k3(X2,X2,X0)
| q2(X3,X1,X0)
| ~ m3(X3,X4,X3) )
| ~ spl0_29
| ~ spl0_328 ),
inference(backward_subsumption_resolution,[],[f572,f3128]) ).
fof(f3144,plain,
( ! [X2,X3,X0,X1] :
( ~ m3(X0,X3,X0)
| q2(X0,X1,X2) )
| ~ spl0_29
| ~ spl0_125
| ~ spl0_198
| ~ spl0_328 ),
inference(resolution,[],[f3129,f2076]) ).
fof(f3672,plain,
( ! [X0] : ~ r1(X0)
| ~ spl0_18
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f703,f657]) ).
fof(f3673,plain,
( $false
| ~ spl0_18
| ~ spl0_30
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f3672,f2433]) ).
fof(f3674,plain,
( ~ spl0_18
| ~ spl0_30
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f3673]) ).
fof(f3710,plain,
( $false
| ~ spl0_329 ),
inference(resolution,[],[f2712,f2210]) ).
fof(f3713,plain,
~ spl0_329,
inference(avatar_contradiction_clause,[],[f3710]) ).
fof(f4055,plain,
( ! [X2,X0,X1] : q2(X0,X1,X2)
| ~ spl0_29
| ~ spl0_125
| ~ spl0_155
| ~ spl0_198
| ~ spl0_328 ),
inference(resolution,[],[f3144,f2215]) ).
fof(f4636,plain,
( ! [X1] : ~ k0(X1)
| ~ spl0_29
| ~ spl0_125
| ~ spl0_155
| ~ spl0_198
| ~ spl0_328 ),
inference(backward_subsumption_resolution,[],[f2603,f4055]) ).
fof(f4648,plain,
( spl0_337
| ~ spl0_29
| ~ spl0_125
| ~ spl0_155
| ~ spl0_198
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f4636,f2708,f1376,f1202,f1082,f699,f2766]) ).
cnf(s8,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f661]) ).
cnf(s13,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f704]) ).
cnf(s57,plain,
( spl0_124
| spl0_125 ),
inference(sat_conversion,[],[f1084]) ).
cnf(s59,plain,
( spl0_91
| spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s92,plain,
( spl0_128
| spl0_199 ),
inference(sat_conversion,[],[f1382]) ).
cnf(s101,plain,
( spl0_194
| spl0_213 ),
inference(sat_conversion,[],[f1441]) ).
cnf(s152,plain,
( spl0_291
| spl0_292 ),
inference(sat_conversion,[],[f1768]) ).
cnf(s154,plain,
spl0_49,
inference(sat_conversion,[],[f1773]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1775]) ).
cnf(s158,plain,
~ spl0_134,
inference(sat_conversion,[],[f1777]) ).
cnf(s168,plain,
~ spl0_128,
inference(sat_conversion,[],[f1787]) ).
cnf(s176,plain,
~ spl0_194,
inference(sat_conversion,[],[f1803]) ).
cnf(s197,plain,
( ~ spl0_49
| spl0_168 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s202,plain,
spl0_188,
inference(sat_conversion,[],[f1865]) ).
cnf(s212,plain,
( ~ spl0_19
| ~ spl0_188 ),
inference(sat_conversion,[],[f1880]) ).
cnf(s213,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s220,plain,
( spl0_129
| ~ spl0_198 ),
inference(sat_conversion,[],[f1901]) ).
cnf(s241,plain,
~ spl0_287,
inference(sat_conversion,[],[f1957]) ).
cnf(s242,plain,
( spl0_134
| spl0_287
| ~ spl0_291 ),
inference(sat_conversion,[],[f1961]) ).
cnf(s265,plain,
( ~ spl0_91
| ~ spl0_124
| ~ spl0_168
| ~ spl0_292 ),
inference(sat_conversion,[],[f2075]) ).
cnf(s289,plain,
spl0_155,
inference(sat_conversion,[],[f2209]) ).
cnf(s321,plain,
( ~ spl0_168
| ~ spl0_199
| ~ spl0_213
| spl0_305 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s359,plain,
( spl0_328
| spl0_329 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s368,plain,
( ~ spl0_205
| ~ spl0_337 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s476,plain,
( ~ spl0_18
| ~ spl0_30
| ~ spl0_305 ),
inference(sat_conversion,[],[f3674]) ).
cnf(s484,plain,
~ spl0_329,
inference(sat_conversion,[],[f3713]) ).
cnf(s620,plain,
( ~ spl0_29
| ~ spl0_125
| ~ spl0_155
| ~ spl0_198
| ~ spl0_328
| spl0_337 ),
inference(sat_conversion,[],[f4648]) ).
cnf(s639,plain,
spl0_328,
inference(rat,[],[s359,s484]) ).
cnf(s651,plain,
~ spl0_19,
inference(rat,[],[s212,s202]) ).
cnf(s652,plain,
~ spl0_60,
inference(rat,[],[s213,s176]) ).
cnf(s666,plain,
~ spl0_291,
inference(rat,[],[s242,s241,s158]) ).
cnf(s672,plain,
~ spl0_337,
inference(rat,[],[s368,s156]) ).
cnf(s675,plain,
spl0_168,
inference(rat,[],[s197,s154]) ).
cnf(s678,plain,
spl0_292,
inference(rat,[],[s152,s666]) ).
cnf(s726,plain,
spl0_213,
inference(rat,[],[s101,s176]) ).
cnf(s739,plain,
spl0_199,
inference(rat,[],[s92,s168]) ).
cnf(s740,plain,
spl0_305,
inference(rat,[],[s321,s726,s675,s739]) ).
cnf(s748,plain,
spl0_198,
inference(rat,[],[s91,s652]) ).
cnf(s750,plain,
spl0_129,
inference(rat,[],[s220,s748]) ).
cnf(s794,plain,
spl0_91,
inference(rat,[],[s59,s750,s168]) ).
cnf(s796,plain,
~ spl0_124,
inference(rat,[],[s265,s678,s675,s794]) ).
cnf(s800,plain,
spl0_125,
inference(rat,[],[s57,s796]) ).
cnf(s801,plain,
~ spl0_29,
inference(rat,[],[s620,s672,s639,s748,s289,s800]) ).
cnf(s844,plain,
spl0_30,
inference(rat,[],[s13,s801]) ).
cnf(s845,plain,
~ spl0_18,
inference(rat,[],[s476,s740,s844]) ).
cnf(s850,plain,
$false,
inference(rat,[],[s8,s651,s845]) ).
fof(f4655,plain,
$false,
inference(avatar_sat_refutation,[],[s850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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 SAT
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:35:52 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.30 % (1276418)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (1276424)% WARNING: option uhcvi not known.
% 0.19/0.30 % (1276424)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1540903242:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (1276423)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1137351927_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (1276426)dis+10_1_sil=32000:sp=arity:random_seed=3744990762:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (1276425)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2134231516:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (1276428)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=950093037:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (1276427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3231549088:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (1276429)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2261078246:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % Detected minimum model sizes of [1]
% 0.19/0.30 % Detected maximum model sizes of [5]
% 0.19/0.30 % TRYING [1]
% 0.19/0.30 % TRYING [2]
% 0.19/0.30 % (1276424) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1276418-1276424"...
% 0.19/0.30 % TRYING [3]
% 0.19/0.30 % (1276424)...printing done.
% 0.19/0.30 % (1276424)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30 % (1276424)------------------------------
% 0.19/0.30 % (1276424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (1276424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (1276424)CaDiCaL version: 2.1.3
% 0.19/0.30 % (1276424)Termination reason: Refutation
% 0.19/0.30 % (1276424)Time elapsed: 0.036 s
% 0.19/0.30 % (1276424)Peak memory usage: 14 MB
% 0.19/0.30 % (1276424)Instructions burned: 92 (million)
% 0.19/0.30 % (1276418)Success in time 0.069 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------