%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN272-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:50:04 PM UTC 2026
% Result : Unsatisfiable 0.66s 1.01s
% Output : Refutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 44
% Syntax : Number of formulae : 151 ( 33 unt; 18 def)
% Number of atoms : 346 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 408 ( 213 ~; 177 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 19 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 121 ( 0 sgn 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
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(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f123,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f169,axiom,
! [X0,X1] :
( l2(X0,X1)
| ~ s1(X0)
| ~ n0(e,X1)
| ~ l2(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_131) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f173,axiom,
! [X2,X0,X1] :
( m2(X0)
| ~ s0(X0)
| ~ l1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_135) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).
fof(f248,axiom,
! [X0] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).
fof(f263,axiom,
! [X2,X3,X0,X1] :
( m3(X0,X1,X0)
| ~ m0(X2,X2,X1)
| ~ l2(X3,X0)
| ~ m0(X0,X3,X3)
| ~ s2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_225) ).
fof(f284,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ l2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_246) ).
fof(f302,axiom,
! [X0] :
( r3(X0,X0,X0)
| ~ s2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_264) ).
fof(f306,axiom,
! [X2,X3,X0,X1] :
( r3(X0,X0,X1)
| ~ m2(X1)
| ~ m3(X2,b,X0)
| ~ r3(X1,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_268) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rule_289) ).
fof(f369,negated_conjecture,
! [X0] : ~ p4(d,e,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f389,definition,
( spl0_6
<=> ! [X0,X1] : ~ p4(X0,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f390,plain,
( ! [X0,X1] : ~ p4(X0,X0,X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f389]) ).
fof(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(f505,definition,
( spl0_39
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f506,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f508,definition,
( spl0_40
<=> ! [X0] :
( m2(X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f509,plain,
( ! [X0] :
( m2(X0)
| ~ s0(X0) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f173,f508,f505]) ).
fof(f529,definition,
( spl0_46
<=> m2(d) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f530,plain,
( ~ m2(d)
| spl0_46 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f732,definition,
( spl0_105
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f733,plain,
( ~ s0(d)
| spl0_105 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f821,definition,
( spl0_131
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1015,definition,
( spl0_185
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1016,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1152,definition,
( spl0_223
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
fof(f1153,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1154,plain,
( spl0_21
| spl0_223 ),
inference(avatar_split_clause,[],[f164,f1152,f440]) ).
fof(f1156,definition,
( spl0_224
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
fof(f1157,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1158,plain,
( spl0_185
| spl0_224 ),
inference(avatar_split_clause,[],[f171,f1156,f1015]) ).
fof(f1184,definition,
( spl0_232
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
fof(f1185,plain,
( ~ s1(a)
| spl0_232 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1186,plain,
( s2(d)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1187,plain,
( ~ spl0_105
| ~ spl0_232
| spl0_131 ),
inference(avatar_split_clause,[],[f228,f821,f1184,f732]) ).
fof(f1334,definition,
( spl0_272
<=> ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
fof(f1335,plain,
( ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1336,plain,
( spl0_6
| spl0_272 ),
inference(avatar_split_clause,[],[f326,f1334,f389]) ).
fof(f1401,plain,
( $false
| spl0_105 ),
inference(forward_subsumption_resolution,[],[f733,f1]) ).
fof(f1402,plain,
spl0_105,
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1423,plain,
( $false
| ~ spl0_185 ),
inference(resolution,[],[f1016,f14]) ).
fof(f1424,plain,
~ spl0_185,
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f1501,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f163,f441]) ).
fof(f1502,plain,
( spl0_185
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1501,f440,f1015]) ).
fof(f1510,plain,
( ! [X0] : s1(X0)
| ~ spl0_223 ),
inference(resolution,[],[f1153,f17]) ).
fof(f1514,plain,
( s1(a)
| ~ spl0_223 ),
inference(resolution,[],[f1153,f36]) ).
fof(f1517,plain,
( $false
| ~ spl0_223
| spl0_232 ),
inference(forward_subsumption_resolution,[],[f1514,f1185]) ).
fof(f1518,plain,
( ~ spl0_223
| spl0_232 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1533,plain,
( ! [X0,X1] : ~ n0(X1,X0)
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f40,f506]) ).
fof(f1534,plain,
( $false
| ~ spl0_39 ),
inference(resolution,[],[f1533,f3]) ).
fof(f1549,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1640,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_223
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f1157,f1510]) ).
fof(f1654,plain,
! [X0,X1] :
( ~ p0(X0,X1)
| n2(X1) ),
inference(resolution,[],[f123,f175]) ).
fof(f1683,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1654,f14]) ).
fof(f1705,plain,
! [X0] :
( ~ l2(X0,X0)
| l4(X0) ),
inference(resolution,[],[f284,f315]) ).
fof(f1744,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_223
| ~ spl0_224 ),
inference(resolution,[],[f1640,f19]) ).
fof(f1763,plain,
( ! [X0] : l4(X0)
| ~ spl0_223
| ~ spl0_224 ),
inference(resolution,[],[f1744,f1705]) ).
fof(f1829,plain,
( ! [X0,X1] : ~ k3(X0,X0,X1)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f325,f414]) ).
fof(f1832,plain,
( ! [X0] : ~ n2(X0)
| ~ spl0_13 ),
inference(resolution,[],[f1829,f248]) ).
fof(f1836,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1832,f1683]) ).
fof(f1837,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1839,plain,
( ! [X0,X1] :
( ~ n0(X0,X1)
| ~ l4(X0) )
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f417,f390]) ).
fof(f1840,plain,
( ! [X0,X1] : ~ n0(X0,X1)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_223
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f1839,f1763]) ).
fof(f1841,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_223
| ~ spl0_224 ),
inference(resolution,[],[f1840,f3]) ).
fof(f1856,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_223
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f1841]) ).
fof(f1976,plain,
( ~ r3(e,e,d)
| ~ spl0_272 ),
inference(resolution,[],[f1335,f369]) ).
fof(f2438,plain,
( ! [X0,X1] :
( l2(X0,X1)
| ~ n0(e,X1)
| ~ l2(X1,X1) )
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f169,f1510]) ).
fof(f2439,plain,
( ! [X0,X1] :
( l2(X0,X1)
| ~ n0(e,X1) )
| ~ spl0_223
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f2438,f1744]) ).
fof(f2455,plain,
( ~ s0(d)
| ~ spl0_40
| spl0_46 ),
inference(resolution,[],[f530,f509]) ).
fof(f2456,plain,
( $false
| ~ spl0_40
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f2455,f1]) ).
fof(f2457,plain,
( ~ spl0_40
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f2456]) ).
fof(f2905,plain,
( ! [X0,X1] :
( ~ m2(d)
| ~ m3(X0,b,e)
| ~ r3(d,X1,X1) )
| ~ spl0_272 ),
inference(resolution,[],[f306,f1976]) ).
fof(f2907,definition,
( spl0_364
<=> ! [X1] : ~ r3(d,X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).
fof(f2908,plain,
( ! [X1] : ~ r3(d,X1,X1)
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f2907]) ).
fof(f2910,definition,
( spl0_365
<=> ! [X0] : ~ m3(X0,b,e) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
fof(f2911,plain,
( ! [X0] : ~ m3(X0,b,e)
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f2910]) ).
fof(f2912,plain,
( spl0_364
| spl0_365
| ~ spl0_46
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f2905,f1334,f529,f2910,f2907]) ).
fof(f2923,plain,
( ~ s2(d)
| ~ spl0_364 ),
inference(resolution,[],[f2908,f302]) ).
fof(f2933,plain,
( $false
| ~ spl0_131
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f2923,f1186]) ).
fof(f2934,plain,
( ~ spl0_131
| ~ spl0_364 ),
inference(avatar_contradiction_clause,[],[f2933]) ).
fof(f3204,plain,
( ! [X0,X1] :
( ~ m0(X0,X0,b)
| ~ l2(X1,e)
| ~ m0(e,X1,X1)
| ~ s2(X0) )
| ~ spl0_365 ),
inference(resolution,[],[f263,f2911]) ).
fof(f3215,definition,
( spl0_386
<=> ! [X1] :
( ~ l2(X1,e)
| ~ m0(e,X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
fof(f3216,plain,
( ! [X1] :
( ~ m0(e,X1,X1)
| ~ l2(X1,e) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f3215]) ).
fof(f3218,definition,
( spl0_387
<=> ! [X0] :
( ~ m0(X0,X0,b)
| ~ s2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_387])],[avatar_definition]) ).
fof(f3219,plain,
( ! [X0] :
( ~ m0(X0,X0,b)
| ~ s2(X0) )
| ~ spl0_387 ),
inference(avatar_component_clause,[],[f3218]) ).
fof(f3220,plain,
( spl0_386
| spl0_387
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f3204,f2910,f3218,f3215]) ).
fof(f3221,plain,
( ~ l2(d,e)
| ~ spl0_386 ),
inference(resolution,[],[f3216,f19]) ).
fof(f3226,plain,
( ~ n0(e,e)
| ~ spl0_223
| ~ spl0_224
| ~ spl0_386 ),
inference(resolution,[],[f3221,f2439]) ).
fof(f3227,plain,
( $false
| ~ spl0_223
| ~ spl0_224
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f3226,f30]) ).
fof(f3228,plain,
( ~ spl0_223
| ~ spl0_224
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f3227]) ).
fof(f3229,plain,
( ~ s2(d)
| ~ spl0_387 ),
inference(resolution,[],[f3219,f19]) ).
fof(f3230,plain,
( $false
| ~ spl0_131
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f3229,f1186]) ).
fof(f3231,plain,
( ~ spl0_131
| ~ spl0_387 ),
inference(avatar_contradiction_clause,[],[f3230]) ).
cnf(s6,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f418]) ).
cnf(s20,plain,
( spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f510]) ).
cnf(s112,plain,
( spl0_21
| spl0_223 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s113,plain,
( spl0_185
| spl0_224 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s117,plain,
( ~ spl0_105
| spl0_131
| ~ spl0_232 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s145,plain,
( spl0_6
| spl0_272 ),
inference(sat_conversion,[],[f1336]) ).
cnf(s159,plain,
spl0_105,
inference(sat_conversion,[],[f1402]) ).
cnf(s170,plain,
~ spl0_185,
inference(sat_conversion,[],[f1424]) ).
cnf(s204,plain,
( ~ spl0_21
| spl0_185 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s206,plain,
( ~ spl0_223
| spl0_232 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s218,plain,
~ spl0_39,
inference(sat_conversion,[],[f1549]) ).
cnf(s272,plain,
~ spl0_13,
inference(sat_conversion,[],[f1837]) ).
cnf(s281,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_223
| ~ spl0_224 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s348,plain,
( ~ spl0_40
| spl0_46 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s381,plain,
( ~ spl0_46
| ~ spl0_272
| spl0_364
| spl0_365 ),
inference(sat_conversion,[],[f2912]) ).
cnf(s385,plain,
( ~ spl0_131
| ~ spl0_364 ),
inference(sat_conversion,[],[f2934]) ).
cnf(s404,plain,
( ~ spl0_365
| spl0_386
| spl0_387 ),
inference(sat_conversion,[],[f3220]) ).
cnf(s405,plain,
( ~ spl0_223
| ~ spl0_224
| ~ spl0_386 ),
inference(sat_conversion,[],[f3228]) ).
cnf(s406,plain,
( ~ spl0_131
| ~ spl0_387 ),
inference(sat_conversion,[],[f3231]) ).
cnf(s414,plain,
~ spl0_21,
inference(rat,[],[s204,s170]) ).
cnf(s439,plain,
( spl0_131
| ~ spl0_232 ),
inference(rat,[],[s117,s159]) ).
cnf(s441,plain,
spl0_224,
inference(rat,[],[s113,s170]) ).
cnf(s442,plain,
spl0_223,
inference(rat,[],[s112,s414]) ).
cnf(s443,plain,
~ spl0_386,
inference(rat,[],[s405,s441,s442]) ).
cnf(s450,plain,
spl0_232,
inference(rat,[],[s206,s442]) ).
cnf(s451,plain,
spl0_131,
inference(rat,[],[s439,s450]) ).
cnf(s452,plain,
~ spl0_387,
inference(rat,[],[s406,s451]) ).
cnf(s453,plain,
~ spl0_364,
inference(rat,[],[s385,s451]) ).
cnf(s457,plain,
~ spl0_365,
inference(rat,[],[s404,s443,s452]) ).
cnf(s561,plain,
spl0_40,
inference(rat,[],[s20,s218]) ).
cnf(s562,plain,
spl0_46,
inference(rat,[],[s348,s561]) ).
cnf(s563,plain,
~ spl0_272,
inference(rat,[],[s381,s457,s453,s562]) ).
cnf(s565,plain,
spl0_6,
inference(rat,[],[s145,s563]) ).
cnf(s566,plain,
~ spl0_14,
inference(rat,[],[s281,s441,s442,s565]) ).
cnf(s576,plain,
$false,
inference(rat,[],[s6,s566,s272]) ).
fof(f3232,plain,
$false,
inference(avatar_sat_refutation,[],[s576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN272-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:40:20 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 0.66/1.01 % (3168338)Input is clausal, will run a generic CNF schedule.
% 0.66/1.01 % (3168459)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=699853035:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.66/1.01 % (3168459)First to succeed.
% 0.66/1.01 % (3168459)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3168338"
% 0.66/1.01 % (3168456)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2933184269:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.66/1.01 % (3168458)lrs+10_1_sil=8000:sp=occurrence:random_seed=1354198402:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.66/1.01 % (3168462)dis-21_1_sil=8000:lcm=predicate:random_seed=534123120: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)
% 0.66/1.01 % (3168461)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2495371970:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.66/1.01 % (3168454)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=3038348008:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.66/1.01 % (3168458)Refutation not found, incomplete strategy
% 0.66/1.01 % (3168458)------------------------------
% 0.66/1.01 % (3168458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/1.01 % (3168458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/1.01 % (3168458)CaDiCaL version: 2.1.3
% 0.66/1.01 % (3168458)Termination reason: Refutation not found, incomplete strategy
% 0.66/1.01 % (3168458)Time elapsed: 0.011 s
% 0.66/1.01 % (3168458)Peak memory usage: 88 MB
% 0.66/1.01 % (3168458)Instructions burned: 13 (million)
% 0.66/1.01 % (3168457)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2581860589:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.66/1.01 % (3168461)Also succeeded, but the first one will report.
% 0.66/1.01 % (3168462)Instruction limit reached!
% 0.66/1.01 % (3168462)------------------------------
% 0.66/1.01 % (3168462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/1.01 % (3168462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/1.01 % (3168462)CaDiCaL version: 2.1.3
% 0.66/1.01 % (3168462)Termination reason: Instruction limit
% 0.66/1.01 % (3168462)Termination phase: Saturation
% 0.66/1.01 % (3168462)Time elapsed: 0.056 s
% 0.66/1.01 % (3168462)Peak memory usage: 89 MB
% 0.66/1.01 % (3168462)Instructions burned: 119 (million)
% 0.66/1.01 % (3168459)Refutation found. Thanks to Tanya!
% 0.66/1.01 % SZS status Unsatisfiable for theBenchmark
% 0.66/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 2.96/1.21 % (3168459)------------------------------
% 2.96/1.21 % (3168459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.21 % (3168459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.21 % (3168459)CaDiCaL version: 2.1.3
% 2.96/1.21 % (3168459)Termination reason: Refutation
% 2.96/1.21 % (3168459)Time elapsed: 0.021 s
% 2.96/1.21 % (3168459)Peak memory usage: 90 MB
% 2.96/1.21 % (3168459)Instructions burned: 57 (million)
% 2.96/1.21 % (3168459)------------------------------
% 2.96/1.21 % (3168459)------------------------------
% 2.96/1.21 % (3168338)Success in time 0.343 s
% 2.96/1.21 % Vampire exiting
%------------------------------------------------------------------------------