%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN269-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:50:03 PM UTC 2026
% Result : Unsatisfiable 3.22s 1.16s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 57
% Syntax : Number of formulae : 182 ( 42 unt; 21 def)
% Number of atoms : 416 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 475 ( 241 ~; 213 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 46 ( 45 usr; 22 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 138 ( 0 sgn 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f95,axiom,
! [X0] :
( n1(X0,X0,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_057) ).
fof(f123,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
fof(f131,axiom,
! [X0,X1] :
( q1(X0,X0,X0)
| ~ q0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_093) ).
fof(f154,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_116) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_124) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).
fof(f203,axiom,
! [X2,X0,X1] :
( p2(X0,X0,X0)
| ~ q1(X1,X2,X1)
| ~ p2(X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_165) ).
fof(f208,axiom,
! [X0] :
( p2(X0,e,X0)
| ~ n1(X0,e,e) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_170) ).
fof(f226,axiom,
! [X0] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_188) ).
fof(f230,axiom,
! [X2,X3,X0,X1] :
( k3(X0,X1,X0)
| ~ s1(X1)
| ~ p2(X2,X1,X3)
| ~ n0(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_192) ).
fof(f248,axiom,
! [X0] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).
fof(f273,axiom,
! [X0,X1] :
( m3(X0,X0,X1)
| ~ r2(X1)
| ~ k3(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_235) ).
fof(f284,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_246) ).
fof(f306,axiom,
! [X2,X3,X0,X1] :
( r3(X0,X0,X1)
| ~ m2(X1)
| ~ m3(X2,b,X0)
| ~ r3(X1,X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_268) ).
fof(f308,axiom,
! [X0] :
( r3(X0,b,X0)
| ~ r0(X0)
| ~ p2(b,X0,b)
| ~ l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_270) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',rule_288) ).
fof(f327,axiom,
! [X2,X3,X0,X1] :
( p4(X0,X0,X0)
| ~ l4(X0)
| ~ n0(X0,X1)
| ~ p4(X2,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_289) ).
fof(f369,negated_conjecture,
~ p4(b,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(f413,definition,
( spl0_13
<=> ! [X2,X3] : ~ p4(X2,X3,X2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f414,plain,
( ! [X2,X3] : ~ p4(X2,X3,X2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,definition,
( spl0_14
<=> ! [X0,X1] :
( p4(X0,X0,X0)
| ~ n0(X0,X1)
| ~ l4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f417,plain,
( ! [X0,X1] :
( p4(X0,X0,X0)
| ~ n0(X0,X1)
| ~ l4(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f327,f416,f413]) ).
fof(f440,definition,
( spl0_21
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f441,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f465,definition,
( spl0_28
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f466,plain,
( ~ k1(b)
| spl0_28 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,definition,
( spl0_29
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f469,plain,
( m2(b)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( ~ spl0_28
| spl0_29 ),
inference(avatar_split_clause,[],[f174,f468,f465]) ).
fof(f502,definition,
( spl0_39
<=> r2(a) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f503,plain,
( ~ r2(a)
| spl0_39 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f640,definition,
( spl0_79
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f641,plain,
( ~ s0(d)
| spl0_79 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f643,definition,
( spl0_80
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( ~ spl0_79
| spl0_80 ),
inference(avatar_split_clause,[],[f162,f643,f640]) ).
fof(f816,definition,
( spl0_130
<=> q1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f817,plain,
( ~ q1(e,e,e)
| spl0_130 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f1024,definition,
( spl0_187
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
fof(f1025,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1026,plain,
( spl0_21
| spl0_187 ),
inference(avatar_split_clause,[],[f164,f1024,f440]) ).
fof(f1028,definition,
( spl0_188
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1029,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1031,definition,
( spl0_189
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f1032,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1033,plain,
( spl0_188
| spl0_189 ),
inference(avatar_split_clause,[],[f171,f1031,f1028]) ).
fof(f1224,definition,
( spl0_242
<=> n1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
fof(f1225,plain,
( ~ n1(e,e,e)
| spl0_242 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1248,definition,
( spl0_248
<=> ! [X2,X1] :
( ~ q1(X1,X2,X1)
| ~ p2(X1,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
fof(f1249,plain,
( ! [X2,X1] :
( ~ p2(X1,X1,X2)
| ~ q1(X1,X2,X1) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1251,definition,
( spl0_249
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
fof(f1252,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1253,plain,
( spl0_248
| spl0_249 ),
inference(avatar_split_clause,[],[f203,f1251,f1248]) ).
fof(f1308,definition,
( spl0_265
<=> ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
fof(f1309,plain,
( ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1310,plain,
( spl0_6
| spl0_265 ),
inference(avatar_split_clause,[],[f326,f1308,f389]) ).
fof(f1393,plain,
( $false
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f641,f1]) ).
fof(f1394,plain,
spl0_79,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1417,plain,
( $false
| ~ spl0_188 ),
inference(resolution,[],[f1029,f14]) ).
fof(f1418,plain,
~ spl0_188,
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1477,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f1496,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1477,f466]) ).
fof(f1497,plain,
spl0_28,
inference(avatar_contradiction_clause,[],[f1496]) ).
fof(f1502,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f163,f441]) ).
fof(f1503,plain,
( spl0_188
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1502,f440,f1028]) ).
fof(f1509,plain,
( ! [X0] : s1(X0)
| ~ spl0_187 ),
inference(resolution,[],[f1025,f17]) ).
fof(f1582,plain,
( ~ r0(e)
| spl0_130 ),
inference(resolution,[],[f154,f817]) ).
fof(f1583,plain,
( $false
| spl0_130 ),
inference(forward_subsumption_resolution,[],[f1582,f13]) ).
fof(f1584,plain,
spl0_130,
inference(avatar_contradiction_clause,[],[f1583]) ).
fof(f1646,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_187
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f1032,f1509]) ).
fof(f1660,plain,
! [X0,X1] :
( ~ p0(X0,X1)
| n2(X1) ),
inference(resolution,[],[f123,f175]) ).
fof(f1708,plain,
! [X0] :
( ~ l2(X0,X0)
| l4(X0) ),
inference(resolution,[],[f284,f315]) ).
fof(f1711,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1660,f14]) ).
fof(f1750,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_187
| ~ spl0_189 ),
inference(resolution,[],[f1646,f19]) ).
fof(f1769,plain,
( ! [X0] : l4(X0)
| ~ spl0_187
| ~ spl0_189 ),
inference(resolution,[],[f1750,f1708]) ).
fof(f1825,plain,
( ! [X0,X1] : ~ k3(X0,X0,X1)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f325,f414]) ).
fof(f1828,plain,
( ! [X0] : ~ n2(X0)
| ~ spl0_13 ),
inference(resolution,[],[f1825,f248]) ).
fof(f1832,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1828,f1711]) ).
fof(f1833,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1835,plain,
( ! [X0,X1] :
( ~ n0(X0,X1)
| ~ l4(X0) )
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f417,f390]) ).
fof(f1836,plain,
( ! [X0,X1] : ~ n0(X0,X1)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f1835,f1769]) ).
fof(f1837,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(resolution,[],[f1836,f3]) ).
fof(f1852,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1949,plain,
( ~ q1(e,e,e)
| ~ n1(e,e,e)
| ~ spl0_248 ),
inference(resolution,[],[f1249,f208]) ).
fof(f1954,plain,
( ~ spl0_242
| ~ spl0_130
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f1949,f1248,f816,f1224]) ).
fof(f1978,plain,
( ~ r3(a,a,b)
| ~ spl0_265 ),
inference(resolution,[],[f1309,f369]) ).
fof(f2060,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X0,d)
| ~ q0(X1,d) )
| ~ spl0_80 ),
inference(resolution,[],[f644,f131]) ).
fof(f2082,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X1,d) )
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f2060,f17]) ).
fof(f2089,definition,
( spl0_300
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
fof(f2090,plain,
( ! [X0] : r1(X0)
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f2089]) ).
fof(f2114,plain,
( ! [X0] : r1(X0)
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f2082,f17]) ).
fof(f2119,plain,
( spl0_300
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2114,f643,f2089]) ).
fof(f2130,plain,
( ! [X0] :
( r2(X0)
| ~ l0(X0) )
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f226,f2090]) ).
fof(f2134,plain,
( ~ l0(a)
| spl0_39
| ~ spl0_300 ),
inference(resolution,[],[f2130,f503]) ).
fof(f2138,plain,
( $false
| spl0_39
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f2134,f20]) ).
fof(f2139,plain,
( spl0_39
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f2138]) ).
fof(f2773,plain,
( ~ r0(e)
| spl0_242 ),
inference(resolution,[],[f1225,f95]) ).
fof(f2785,plain,
( $false
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f2773,f13]) ).
fof(f2786,plain,
spl0_242,
inference(avatar_contradiction_clause,[],[f2785]) ).
fof(f2820,plain,
( ! [X2,X3,X0,X1] :
( k3(X0,X1,X0)
| ~ p2(X2,X1,X3)
| ~ n0(X0,X3) )
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f230,f1509]) ).
fof(f2886,plain,
( ! [X0] :
( r3(X0,b,X0)
| ~ r0(X0)
| ~ p2(b,X0,b) )
| ~ spl0_187
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f308,f1750]) ).
fof(f2931,plain,
( ! [X0,X1] :
( ~ m2(b)
| ~ m3(X0,b,a)
| ~ r3(b,X1,X1) )
| ~ spl0_265 ),
inference(resolution,[],[f306,f1978]) ).
fof(f2932,plain,
( ! [X0,X1] :
( ~ m3(X0,b,a)
| ~ r3(b,X1,X1) )
| ~ spl0_29
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f2931,f469]) ).
fof(f2935,definition,
( spl0_373
<=> ! [X1] : ~ r3(b,X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
fof(f2936,plain,
( ! [X1] : ~ r3(b,X1,X1)
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f2935]) ).
fof(f2938,definition,
( spl0_374
<=> ! [X0] : ~ m3(X0,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
fof(f2939,plain,
( ! [X0] : ~ m3(X0,b,a)
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f2940,plain,
( spl0_373
| spl0_374
| ~ spl0_29
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2932,f1308,f468,f2938,f2935]) ).
fof(f2948,plain,
( ~ r0(b)
| ~ p2(b,b,b)
| ~ spl0_187
| ~ spl0_189
| ~ spl0_373 ),
inference(resolution,[],[f2936,f2886]) ).
fof(f2964,plain,
( ~ p2(b,b,b)
| ~ spl0_187
| ~ spl0_189
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f2948,f9]) ).
fof(f2965,plain,
( $false
| ~ spl0_187
| ~ spl0_189
| ~ spl0_249
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f2964,f1252]) ).
fof(f2966,plain,
( ~ spl0_187
| ~ spl0_189
| ~ spl0_249
| ~ spl0_373 ),
inference(avatar_contradiction_clause,[],[f2965]) ).
fof(f2967,plain,
( ~ r2(a)
| ~ k3(b,a,b)
| ~ spl0_374 ),
inference(resolution,[],[f2939,f273]) ).
fof(f2970,definition,
( spl0_377
<=> k3(b,a,b) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
fof(f2971,plain,
( ~ k3(b,a,b)
| spl0_377 ),
inference(avatar_component_clause,[],[f2970]) ).
fof(f2972,plain,
( ~ spl0_377
| ~ spl0_39
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f2967,f2938,f502,f2970]) ).
fof(f2973,plain,
( ! [X0,X1] :
( ~ p2(X0,a,X1)
| ~ n0(b,X1) )
| ~ spl0_187
| spl0_377 ),
inference(resolution,[],[f2971,f2820]) ).
fof(f3069,plain,
( ~ n0(b,a)
| ~ k1(a)
| ~ spl0_187
| spl0_377 ),
inference(resolution,[],[f2973,f197]) ).
fof(f3097,plain,
( ~ n0(b,a)
| ~ spl0_187
| spl0_377 ),
inference(forward_subsumption_resolution,[],[f3069,f39]) ).
fof(f3108,plain,
( $false
| ~ spl0_187
| spl0_377 ),
inference(forward_subsumption_resolution,[],[f3097,f37]) ).
fof(f3109,plain,
( ~ spl0_187
| spl0_377 ),
inference(avatar_contradiction_clause,[],[f3108]) ).
cnf(s6,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f418]) ).
cnf(s13,plain,
( ~ spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f470]) ).
cnf(s35,plain,
( ~ spl0_79
| spl0_80 ),
inference(sat_conversion,[],[f645]) ).
cnf(s92,plain,
( spl0_21
| spl0_187 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s93,plain,
( spl0_188
| spl0_189 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s132,plain,
( spl0_248
| spl0_249 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s141,plain,
( spl0_6
| spl0_265 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s155,plain,
spl0_79,
inference(sat_conversion,[],[f1394]) ).
cnf(s167,plain,
~ spl0_188,
inference(sat_conversion,[],[f1418]) ).
cnf(s202,plain,
spl0_28,
inference(sat_conversion,[],[f1497]) ).
cnf(s205,plain,
( ~ spl0_21
| spl0_188 ),
inference(sat_conversion,[],[f1503]) ).
cnf(s231,plain,
spl0_130,
inference(sat_conversion,[],[f1584]) ).
cnf(s275,plain,
~ spl0_13,
inference(sat_conversion,[],[f1833]) ).
cnf(s284,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s295,plain,
( ~ spl0_130
| ~ spl0_242
| ~ spl0_248 ),
inference(sat_conversion,[],[f1954]) ).
cnf(s317,plain,
( ~ spl0_80
| spl0_300 ),
inference(sat_conversion,[],[f2119]) ).
cnf(s323,plain,
( spl0_39
| ~ spl0_300 ),
inference(sat_conversion,[],[f2139]) ).
cnf(s385,plain,
spl0_242,
inference(sat_conversion,[],[f2786]) ).
cnf(s406,plain,
( ~ spl0_29
| ~ spl0_265
| spl0_373
| spl0_374 ),
inference(sat_conversion,[],[f2940]) ).
cnf(s412,plain,
( ~ spl0_187
| ~ spl0_189
| ~ spl0_249
| ~ spl0_373 ),
inference(sat_conversion,[],[f2966]) ).
cnf(s413,plain,
( ~ spl0_39
| ~ spl0_374
| ~ spl0_377 ),
inference(sat_conversion,[],[f2972]) ).
cnf(s428,plain,
( ~ spl0_187
| spl0_377 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s434,plain,
( ~ spl0_130
| ~ spl0_248 ),
inference(rat,[],[s295,s385]) ).
cnf(s435,plain,
~ spl0_248,
inference(rat,[],[s434,s231]) ).
cnf(s438,plain,
~ spl0_21,
inference(rat,[],[s205,s167]) ).
cnf(s450,plain,
spl0_249,
inference(rat,[],[s132,s435]) ).
cnf(s491,plain,
spl0_189,
inference(rat,[],[s93,s167]) ).
cnf(s492,plain,
spl0_187,
inference(rat,[],[s92,s438]) ).
cnf(s493,plain,
spl0_377,
inference(rat,[],[s428,s492]) ).
cnf(s494,plain,
~ spl0_373,
inference(rat,[],[s412,s491,s450,s492]) ).
cnf(s559,plain,
spl0_80,
inference(rat,[],[s35,s155]) ).
cnf(s560,plain,
spl0_300,
inference(rat,[],[s317,s559]) ).
cnf(s562,plain,
spl0_39,
inference(rat,[],[s323,s560]) ).
cnf(s568,plain,
~ spl0_374,
inference(rat,[],[s413,s493,s562]) ).
cnf(s589,plain,
spl0_29,
inference(rat,[],[s13,s202]) ).
cnf(s590,plain,
~ spl0_265,
inference(rat,[],[s406,s568,s494,s589]) ).
cnf(s594,plain,
spl0_6,
inference(rat,[],[s141,s590]) ).
cnf(s597,plain,
~ spl0_14,
inference(rat,[],[s284,s491,s492,s594]) ).
cnf(s605,plain,
$false,
inference(rat,[],[s6,s597,s275]) ).
fof(f3110,plain,
$false,
inference(avatar_sat_refutation,[],[s605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN269-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n005.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 15:40:06 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/1.16 % (885761)Input is clausal, will run a generic CNF schedule.
% 3.22/1.16 % (885879)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=494260503:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.22/1.16 % (885878)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=3272995402:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.22/1.16 % (885884)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1947858309:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.22/1.16 % (885885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2887963603:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.22/1.16 % (885882)lrs+10_1_sil=8000:sp=occurrence:random_seed=2629871486:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.22/1.16 % (885887)dis-21_1_sil=8000:lcm=predicate:random_seed=3756611586: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)
% 3.22/1.16 % (885882)Refutation not found, incomplete strategy
% 3.22/1.16 % (885882)------------------------------
% 3.22/1.16 % (885882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.16 % (885882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.16 % (885882)CaDiCaL version: 2.1.3
% 3.22/1.16 % (885882)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.16 % (885882)Time elapsed: 0.011 s
% 3.22/1.16 % (885882)Peak memory usage: 88 MB
% 3.22/1.16 % (885882)Instructions burned: 13 (million)
% 3.22/1.16 % (885881)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=364431829:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.22/1.16 % (885884)First to succeed.
% 3.22/1.16 % (885884)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-885761"
% 3.22/1.16 % (885885)Also succeeded, but the first one will report.
% 3.22/1.16 % (885887)Instruction limit reached!
% 3.22/1.16 % (885887)------------------------------
% 3.22/1.16 % (885887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.16 % (885887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.16 % (885887)CaDiCaL version: 2.1.3
% 3.22/1.16 % (885887)Termination reason: Instruction limit
% 3.22/1.16 % (885887)Termination phase: Saturation
% 3.22/1.16 % (885887)Time elapsed: 0.055 s
% 3.22/1.16 % (885887)Peak memory usage: 89 MB
% 3.22/1.16 % (885887)Instructions burned: 117 (million)
% 3.22/1.16 % (885910)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2697362832:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.22/1.16 % (885910)Refutation not found, incomplete strategy
% 3.22/1.16 % (885910)------------------------------
% 3.22/1.16 % (885910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.16 % (885910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.16 % (885910)CaDiCaL version: 2.1.3
% 3.22/1.16 % (885910)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.16 % (885910)Time elapsed: 0.003 s
% 3.22/1.16 % (885910)Peak memory usage: 88 MB
% 3.22/1.16 % (885910)Instructions burned: 2 (million)
% 3.22/1.16 % (885882)------------------------------
% 3.22/1.16 % (885882)------------------------------
% 3.22/1.16 % (885884)Refutation found. Thanks to Tanya!
% 3.22/1.16 % SZS status Unsatisfiable for theBenchmark
% 3.22/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.36 % (885884)------------------------------
% 3.89/1.36 % (885884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.36 % (885884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.36 % (885884)CaDiCaL version: 2.1.3
% 3.89/1.36 % (885884)Termination reason: Refutation
% 3.89/1.36 % (885884)Time elapsed: 0.034 s
% 3.89/1.36 % (885884)Peak memory usage: 90 MB
% 3.89/1.36 % (885884)Instructions burned: 53 (million)
% 3.89/1.36 % (885884)------------------------------
% 3.89/1.36 % (885884)------------------------------
% 3.89/1.36 % (885761)Success in time 0.47 s
% 3.89/1.36 % Vampire exiting
%------------------------------------------------------------------------------