TSTP Solution File: SYN163-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 03:37:59 EDT 2023
% Result : Unsatisfiable 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 69
% Syntax : Number of formulae : 178 ( 25 unt; 0 def)
% Number of atoms : 416 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 461 ( 223 ~; 201 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 60 ( 59 usr; 32 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 120 (; 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5625,plain,
$false,
inference(avatar_sat_refutation,[],[f980,f984,f992,f993,f1147,f1151,f1386,f1436,f1687,f1825,f2085,f2091,f2095,f2101,f2148,f2154,f2284,f2333,f2335,f2343,f2348,f2364,f2365,f2367,f2758,f4677,f4680,f5615,f5623]) ).
fof(f5623,plain,
( ~ spl113_96
| ~ spl113_203 ),
inference(avatar_contradiction_clause,[],[f5621]) ).
fof(f5621,plain,
( $false
| ~ spl113_96
| ~ spl113_203 ),
inference(unit_resulting_resolution,[],[f4137,f983,f466]) ).
fof(f466,plain,
! [X2,X5] :
( ~ q3(X5,X2)
| sP48(X5) ),
inference(cnf_transformation,[],[f466_D]) ).
fof(f466_D,plain,
! [X5] :
( ! [X2] : ~ q3(X5,X2)
<=> ~ sP48(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])]) ).
fof(f983,plain,
( ! [X5] : ~ sP48(X5)
| ~ spl113_96 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f982,plain,
( spl113_96
<=> ! [X5] : ~ sP48(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_96])]) ).
fof(f4137,plain,
( q3(e,e)
| ~ spl113_203 ),
inference(unit_resulting_resolution,[],[f30,f2595,f293]) ).
fof(f293,axiom,
! [X2,X4,X5] :
( ~ q2(X2,X4,X5)
| q3(X4,X5)
| ~ n0(X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_255) ).
fof(f2595,plain,
( q2(e,e,e)
| ~ spl113_203 ),
inference(unit_resulting_resolution,[],[f1443,f224]) ).
fof(f224,axiom,
! [X4,X5] :
( q2(X4,X4,X5)
| ~ l1(X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_186) ).
fof(f1443,plain,
( l1(e,e)
| ~ spl113_203 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1442,plain,
( spl113_203
<=> l1(e,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_203])]) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_30) ).
fof(f5615,plain,
( ~ spl113_95
| ~ spl113_161
| ~ spl113_185
| ~ spl113_191
| ~ spl113_224
| ~ spl113_255
| ~ spl113_268
| ~ spl113_336 ),
inference(avatar_contradiction_clause,[],[f5602]) ).
fof(f5602,plain,
( $false
| ~ spl113_95
| ~ spl113_161
| ~ spl113_185
| ~ spl113_191
| ~ spl113_224
| ~ spl113_255
| ~ spl113_268
| ~ spl113_336 ),
inference(unit_resulting_resolution,[],[f2409,f2486,f4052,f4688,f557]) ).
fof(f557,plain,
! [X11,X8,X6] :
( ~ q2(X8,X6,X11)
| q4(X11,X6)
| ~ sP92(X8)
| ~ sP93(X11) ),
inference(general_splitting,[],[f555,f556_D]) ).
fof(f556,plain,
! [X11,X7] :
( ~ k3(X7,X7,X11)
| sP93(X11) ),
inference(cnf_transformation,[],[f556_D]) ).
fof(f556_D,plain,
! [X11] :
( ! [X7] : ~ k3(X7,X7,X11)
<=> ~ sP93(X11) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP93])]) ).
fof(f555,plain,
! [X11,X8,X6,X7] :
( q4(X11,X6)
| ~ q2(X8,X6,X11)
| ~ k3(X7,X7,X11)
| ~ sP92(X8) ),
inference(general_splitting,[],[f333,f554_D]) ).
fof(f554,plain,
! [X8,X9] :
( ~ m3(X8,X9,X8)
| sP92(X8) ),
inference(cnf_transformation,[],[f554_D]) ).
fof(f554_D,plain,
! [X8] :
( ! [X9] : ~ m3(X8,X9,X8)
<=> ~ sP92(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP92])]) ).
fof(f333,axiom,
! [X11,X8,X6,X9,X7] :
( q4(X11,X6)
| ~ q2(X8,X6,X11)
| ~ m3(X8,X9,X8)
| ~ k3(X7,X7,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_295) ).
fof(f4688,plain,
( ! [X0] : ~ q4(X0,e)
| ~ spl113_95
| ~ spl113_185
| ~ spl113_224
| ~ spl113_268 ),
inference(unit_resulting_resolution,[],[f4682,f593]) ).
fof(f593,plain,
! [X8,X7] :
( ~ q4(X7,X8)
| ~ sP111(X8) ),
inference(general_splitting,[],[f591,f592_D]) ).
fof(f592,plain,
! [X11,X8] :
( ~ n4(X11,X8)
| ~ sP110(X11)
| sP111(X8) ),
inference(cnf_transformation,[],[f592_D]) ).
fof(f592_D,plain,
! [X8] :
( ! [X11] :
( ~ n4(X11,X8)
| ~ sP110(X11) )
<=> ~ sP111(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP111])]) ).
fof(f591,plain,
! [X11,X8,X7] :
( ~ q4(X7,X8)
| ~ n4(X11,X8)
| ~ sP110(X11) ),
inference(general_splitting,[],[f589,f590_D]) ).
fof(f590,plain,
! [X11,X6] :
( n5(X11,X6)
| ~ sP109(X6)
| sP110(X11) ),
inference(cnf_transformation,[],[f590_D]) ).
fof(f590_D,plain,
! [X11] :
( ! [X6] :
( n5(X11,X6)
| ~ sP109(X6) )
<=> ~ sP110(X11) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP110])]) ).
fof(f589,plain,
! [X11,X8,X6,X7] :
( ~ q4(X7,X8)
| ~ n4(X11,X8)
| n5(X11,X6)
| ~ sP109(X6) ),
inference(general_splitting,[],[f345,f588_D]) ).
fof(f588,plain,
! [X6,X9] :
( ~ p4(X9,X9,X6)
| ~ n5(X9,X6)
| sP109(X6) ),
inference(cnf_transformation,[],[f588_D]) ).
fof(f588_D,plain,
! [X6] :
( ! [X9] :
( ~ p4(X9,X9,X6)
| ~ n5(X9,X6) )
<=> ~ sP109(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP109])]) ).
fof(f345,axiom,
! [X11,X8,X6,X9,X7] :
( ~ q4(X7,X8)
| ~ n4(X11,X8)
| ~ n5(X9,X6)
| n5(X11,X6)
| ~ p4(X9,X9,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_307) ).
fof(f4682,plain,
( sP111(e)
| ~ spl113_95
| ~ spl113_185
| ~ spl113_224
| ~ spl113_268 ),
inference(unit_resulting_resolution,[],[f3623,f1730,f592]) ).
fof(f1730,plain,
( n4(e,e)
| ~ spl113_268 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1728,plain,
( spl113_268
<=> n4(e,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_268])]) ).
fof(f3623,plain,
( sP110(e)
| ~ spl113_95
| ~ spl113_185
| ~ spl113_224 ),
inference(unit_resulting_resolution,[],[f369,f3621,f590]) ).
fof(f3621,plain,
( sP109(a)
| ~ spl113_95
| ~ spl113_185
| ~ spl113_224 ),
inference(unit_resulting_resolution,[],[f2739,f2948,f588]) ).
fof(f2948,plain,
( p4(a,a,a)
| ~ spl113_185 ),
inference(unit_resulting_resolution,[],[f1354,f325]) ).
fof(f325,axiom,
! [X11,X6] :
( ~ k3(X11,X11,X6)
| p4(X11,X6,X11) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_287) ).
fof(f1354,plain,
( k3(a,a,a)
| ~ spl113_185 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1352,plain,
( spl113_185
<=> k3(a,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_185])]) ).
fof(f2739,plain,
( n5(a,a)
| ~ spl113_95
| ~ spl113_224 ),
inference(unit_resulting_resolution,[],[f2732,f352]) ).
fof(f352,axiom,
! [X11] :
( n5(X11,X11)
| ~ r4(X11) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_314) ).
fof(f2732,plain,
( r4(a)
| ~ spl113_95
| ~ spl113_224 ),
inference(unit_resulting_resolution,[],[f1538,f14,f979]) ).
fof(f979,plain,
( ! [X3,X4] :
( ~ p0(X3,X4)
| ~ n3(X4)
| r4(X4) )
| ~ spl113_95 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f978,plain,
( spl113_95
<=> ! [X4,X3] :
( ~ n3(X4)
| ~ p0(X3,X4)
| r4(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_95])]) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_14) ).
fof(f1538,plain,
( n3(a)
| ~ spl113_224 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1537,plain,
( spl113_224
<=> n3(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_224])]) ).
fof(f369,axiom,
~ n5(e,a),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',prove_this) ).
fof(f4052,plain,
( q2(a,e,e)
| ~ spl113_191 ),
inference(unit_resulting_resolution,[],[f28,f1381,f215]) ).
fof(f215,axiom,
! [X8,X9] :
( ~ p1(X8,X8,X8)
| ~ k0(X9)
| q2(X8,X9,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_177) ).
fof(f1381,plain,
( p1(a,a,a)
| ~ spl113_191 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1379,plain,
( spl113_191
<=> p1(a,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_191])]) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_28) ).
fof(f2486,plain,
( sP92(a)
| ~ spl113_161
| ~ spl113_336 ),
inference(unit_resulting_resolution,[],[f2474,f554]) ).
fof(f2474,plain,
( m3(a,a,a)
| ~ spl113_161
| ~ spl113_336 ),
inference(unit_resulting_resolution,[],[f2017,f1252]) ).
fof(f1252,plain,
( ! [X8] :
( m3(X8,X8,X8)
| ~ n2(X8) )
| ~ spl113_161 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1251,plain,
( spl113_161
<=> ! [X8] :
( ~ n2(X8)
| m3(X8,X8,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_161])]) ).
fof(f2017,plain,
( n2(a)
| ~ spl113_336 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f2015,plain,
( spl113_336
<=> n2(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_336])]) ).
fof(f2409,plain,
( sP93(e)
| ~ spl113_255 ),
inference(unit_resulting_resolution,[],[f2346,f556]) ).
fof(f2346,plain,
( k3(e,e,e)
| ~ spl113_255 ),
inference(unit_resulting_resolution,[],[f1671,f248]) ).
fof(f248,axiom,
! [X7] :
( k3(X7,X7,X7)
| ~ n2(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_210) ).
fof(f1671,plain,
( n2(e)
| ~ spl113_255 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1670,plain,
( spl113_255
<=> n2(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_255])]) ).
fof(f4680,plain,
( ~ spl113_137
| ~ spl113_289 ),
inference(avatar_contradiction_clause,[],[f4678]) ).
fof(f4678,plain,
( $false
| ~ spl113_137
| ~ spl113_289 ),
inference(unit_resulting_resolution,[],[f1150,f1820]) ).
fof(f1820,plain,
( k4(c)
| ~ spl113_289 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f1818,plain,
( spl113_289
<=> k4(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_289])]) ).
fof(f1150,plain,
( ! [X2] : ~ k4(X2)
| ~ spl113_137 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1149,plain,
( spl113_137
<=> ! [X2] : ~ k4(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_137])]) ).
fof(f4677,plain,
( ~ spl113_98
| spl113_288 ),
inference(avatar_contradiction_clause,[],[f4676]) ).
fof(f4676,plain,
( $false
| ~ spl113_98
| spl113_288 ),
inference(unit_resulting_resolution,[],[f4156,f18,f27,f991]) ).
fof(f991,plain,
( ! [X8,X6,X7] :
( ~ m0(X7,X6,X8)
| ~ p0(X8,X6)
| l1(X6,X7) )
| ~ spl113_98 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f990,plain,
( spl113_98
<=> ! [X6,X8,X7] :
( ~ p0(X8,X6)
| ~ m0(X7,X6,X8)
| l1(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_98])]) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_27) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_18) ).
fof(f4156,plain,
( ~ l1(b,e)
| spl113_288 ),
inference(unit_resulting_resolution,[],[f4130,f224]) ).
fof(f4130,plain,
( ~ q2(e,e,b)
| spl113_288 ),
inference(unit_resulting_resolution,[],[f30,f1816,f293]) ).
fof(f1816,plain,
( ~ q3(e,b)
| spl113_288 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f1814,plain,
( spl113_288
<=> q3(e,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_288])]) ).
fof(f2758,plain,
( spl113_268
| ~ spl113_136
| ~ spl113_161
| ~ spl113_255 ),
inference(avatar_split_clause,[],[f2754,f1670,f1251,f1145,f1728]) ).
fof(f1145,plain,
( spl113_136
<=> ! [X5] :
( n4(X5,X5)
| ~ m3(X5,X5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_136])]) ).
fof(f2754,plain,
( n4(e,e)
| ~ spl113_136
| ~ spl113_161
| ~ spl113_255 ),
inference(unit_resulting_resolution,[],[f2473,f1146]) ).
fof(f1146,plain,
( ! [X5] :
( ~ m3(X5,X5,X5)
| n4(X5,X5) )
| ~ spl113_136 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f2473,plain,
( m3(e,e,e)
| ~ spl113_161
| ~ spl113_255 ),
inference(unit_resulting_resolution,[],[f1671,f1252]) ).
fof(f2367,plain,
spl113_287,
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2366,plain,
( $false
| spl113_287 ),
inference(unit_resulting_resolution,[],[f34,f1812]) ).
fof(f1812,plain,
( ~ n0(c,d)
| spl113_287 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f1810,plain,
( spl113_287
<=> n0(c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_287])]) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_34) ).
fof(f2365,plain,
( spl113_290
| ~ spl113_238 ),
inference(avatar_split_clause,[],[f2355,f1597,f1822]) ).
fof(f1822,plain,
( spl113_290
<=> n3(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_290])]) ).
fof(f1597,plain,
( spl113_238
<=> k1(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_238])]) ).
fof(f2355,plain,
( n3(e)
| ~ spl113_238 ),
inference(unit_resulting_resolution,[],[f2339,f278]) ).
fof(f278,axiom,
! [X8,X9,X7] :
( ~ p2(X8,X9,X7)
| n3(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_240) ).
fof(f2339,plain,
( p2(e,e,e)
| ~ spl113_238 ),
inference(unit_resulting_resolution,[],[f1598,f197]) ).
fof(f197,axiom,
! [X10] :
( p2(X10,X10,X10)
| ~ k1(X10) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_159) ).
fof(f1598,plain,
( k1(e)
| ~ spl113_238 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f2364,plain,
( spl113_224
| ~ spl113_221 ),
inference(avatar_split_clause,[],[f2357,f1525,f1537]) ).
fof(f1525,plain,
( spl113_221
<=> p2(a,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_221])]) ).
fof(f2357,plain,
( n3(a)
| ~ spl113_221 ),
inference(unit_resulting_resolution,[],[f1527,f278]) ).
fof(f1527,plain,
( p2(a,a,a)
| ~ spl113_221 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f2348,plain,
( spl113_185
| ~ spl113_336 ),
inference(avatar_split_clause,[],[f2347,f2015,f1352]) ).
fof(f2347,plain,
( k3(a,a,a)
| ~ spl113_336 ),
inference(unit_resulting_resolution,[],[f2017,f248]) ).
fof(f2343,plain,
( spl113_221
| ~ spl113_320 ),
inference(avatar_split_clause,[],[f2340,f1950,f1525]) ).
fof(f1950,plain,
( spl113_320
<=> k1(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_320])]) ).
fof(f2340,plain,
( p2(a,a,a)
| ~ spl113_320 ),
inference(unit_resulting_resolution,[],[f1951,f197]) ).
fof(f1951,plain,
( k1(a)
| ~ spl113_320 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f2335,plain,
( spl113_336
| ~ spl113_191 ),
inference(avatar_split_clause,[],[f2328,f1379,f2015]) ).
fof(f2328,plain,
( n2(a)
| ~ spl113_191 ),
inference(unit_resulting_resolution,[],[f1381,f175]) ).
fof(f175,axiom,
! [X10,X11,X6] :
( ~ p1(X11,X6,X10)
| n2(X10) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_137) ).
fof(f2333,plain,
( spl113_255
| ~ spl113_258 ),
inference(avatar_split_clause,[],[f2330,f1684,f1670]) ).
fof(f1684,plain,
( spl113_258
<=> p1(e,e,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_258])]) ).
fof(f2330,plain,
( n2(e)
| ~ spl113_258 ),
inference(unit_resulting_resolution,[],[f1686,f175]) ).
fof(f1686,plain,
( p1(e,e,e)
| ~ spl113_258 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f2284,plain,
spl113_203,
inference(avatar_split_clause,[],[f2265,f1442]) ).
fof(f2265,plain,
l1(e,e),
inference(unit_resulting_resolution,[],[f3,f40]) ).
fof(f40,axiom,
! [X4,X5] :
( ~ n0(X5,X4)
| l1(X4,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_002) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_3) ).
fof(f2154,plain,
spl113_238,
inference(avatar_split_clause,[],[f2124,f1597]) ).
fof(f2124,plain,
k1(e),
inference(unit_resulting_resolution,[],[f3,f39]) ).
fof(f39,axiom,
! [X2,X3] :
( ~ n0(X3,X2)
| k1(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_001) ).
fof(f2148,plain,
spl113_320,
inference(avatar_split_clause,[],[f2136,f1950]) ).
fof(f2136,plain,
k1(a),
inference(unit_resulting_resolution,[],[f37,f39]) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_37) ).
fof(f2101,plain,
spl113_257,
inference(avatar_contradiction_clause,[],[f2100]) ).
fof(f2100,plain,
( $false
| spl113_257 ),
inference(unit_resulting_resolution,[],[f28,f1681]) ).
fof(f1681,plain,
( ~ k0(e)
| spl113_257 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f1679,plain,
( spl113_257
<=> k0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_257])]) ).
fof(f2095,plain,
spl113_200,
inference(avatar_contradiction_clause,[],[f2094]) ).
fof(f2094,plain,
( $false
| spl113_200 ),
inference(unit_resulting_resolution,[],[f13,f1422]) ).
fof(f1422,plain,
( ~ r0(e)
| spl113_200 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1420,plain,
( spl113_200
<=> r0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_200])]) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_13) ).
fof(f2091,plain,
spl113_192,
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2090,plain,
( $false
| spl113_192 ),
inference(unit_resulting_resolution,[],[f20,f1385]) ).
fof(f1385,plain,
( ~ l0(a)
| spl113_192 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl113_192
<=> l0(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_192])]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_20) ).
fof(f2085,plain,
~ spl113_5,
inference(avatar_contradiction_clause,[],[f2084]) ).
fof(f2084,plain,
( $false
| ~ spl113_5 ),
inference(unit_resulting_resolution,[],[f9,f615]) ).
fof(f615,plain,
( ! [X4] : ~ r0(X4)
| ~ spl113_5 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl113_5
<=> ! [X4] : ~ r0(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_5])]) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',axiom_9) ).
fof(f1825,plain,
( ~ spl113_287
| ~ spl113_288
| spl113_289
| ~ spl113_290 ),
inference(avatar_split_clause,[],[f312,f1822,f1818,f1814,f1810]) ).
fof(f312,axiom,
( ~ n3(e)
| k4(c)
| ~ q3(e,b)
| ~ n0(c,d) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_274) ).
fof(f1687,plain,
( spl113_258
| ~ spl113_200
| ~ spl113_257 ),
inference(avatar_split_clause,[],[f128,f1679,f1420,f1684]) ).
fof(f128,axiom,
( ~ k0(e)
| ~ r0(e)
| p1(e,e,e) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_090) ).
fof(f1436,plain,
spl113_161,
inference(avatar_split_clause,[],[f274,f1251]) ).
fof(f274,axiom,
! [X10] :
( ~ n2(X10)
| m3(X10,X10,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_236) ).
fof(f1386,plain,
( spl113_191
| ~ spl113_192 ),
inference(avatar_split_clause,[],[f126,f1383,f1379]) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_088) ).
fof(f1151,plain,
( spl113_135
| spl113_137 ),
inference(avatar_split_clause,[],[f410,f1149,f1141]) ).
fof(f1141,plain,
( spl113_135
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl113_135])]) ).
fof(f410,plain,
! [X2] :
( ~ k4(X2)
| sP20 ),
inference(cnf_transformation,[],[f410_D]) ).
fof(f410_D,plain,
( ! [X2] : ~ k4(X2)
<=> ~ sP20 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1147,plain,
( ~ spl113_135
| spl113_136 ),
inference(avatar_split_clause,[],[f411,f1145,f1141]) ).
fof(f411,plain,
! [X5] :
( n4(X5,X5)
| ~ m3(X5,X5,X5)
| ~ sP20 ),
inference(general_splitting,[],[f322,f410_D]) ).
fof(f322,axiom,
! [X2,X5] :
( ~ k4(X2)
| n4(X5,X5)
| ~ m3(X5,X5,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_284) ).
fof(f993,plain,
( spl113_97
| spl113_5 ),
inference(avatar_split_clause,[],[f464,f614,f986]) ).
fof(f986,plain,
( spl113_97
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl113_97])]) ).
fof(f464,plain,
! [X9] :
( ~ r0(X9)
| sP47 ),
inference(cnf_transformation,[],[f464_D]) ).
fof(f464_D,plain,
( ! [X9] : ~ r0(X9)
<=> ~ sP47 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP47])]) ).
fof(f992,plain,
( ~ spl113_97
| spl113_98 ),
inference(avatar_split_clause,[],[f465,f990,f986]) ).
fof(f465,plain,
! [X8,X6,X7] :
( ~ p0(X8,X6)
| l1(X6,X7)
| ~ m0(X7,X6,X8)
| ~ sP47 ),
inference(general_splitting,[],[f41,f464_D]) ).
fof(f41,axiom,
! [X8,X6,X9,X7] :
( ~ r0(X9)
| ~ p0(X8,X6)
| l1(X6,X7)
| ~ m0(X7,X6,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_003) ).
fof(f984,plain,
( spl113_94
| spl113_96 ),
inference(avatar_split_clause,[],[f468,f982,f974]) ).
fof(f974,plain,
( spl113_94
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl113_94])]) ).
fof(f468,plain,
! [X5] :
( ~ sP48(X5)
| sP49 ),
inference(cnf_transformation,[],[f468_D]) ).
fof(f468_D,plain,
( ! [X5] : ~ sP48(X5)
<=> ~ sP49 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP49])]) ).
fof(f980,plain,
( ~ spl113_94
| spl113_95 ),
inference(avatar_split_clause,[],[f469,f978,f974]) ).
fof(f469,plain,
! [X3,X4] :
( ~ n3(X4)
| r4(X4)
| ~ p0(X3,X4)
| ~ sP49 ),
inference(general_splitting,[],[f467,f468_D]) ).
fof(f467,plain,
! [X3,X4,X5] :
( ~ n3(X4)
| r4(X4)
| ~ p0(X3,X4)
| ~ sP48(X5) ),
inference(general_splitting,[],[f336,f466_D]) ).
fof(f336,axiom,
! [X2,X3,X4,X5] :
( ~ n3(X4)
| r4(X4)
| ~ p0(X3,X4)
| ~ q3(X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015',rule_298) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat Aug 26 20:11:41 EDT 2023
% 0.22/0.38 % CPUTime :
% 0.22/0.38 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.22/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.3qYTDmOlX6/Vampire---4.8_25015
% 0.22/0.38 % (25285)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (25322)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.45 % (25325)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.45 % (25315)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.45 % (25312)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.45 % (25319)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.45 % (25314)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.45 % (25321)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.50 % (25322)First to succeed.
% 0.22/0.51 % (25322)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.51 % (25322)------------------------------
% 0.22/0.51 % (25322)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51 % (25322)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51 % (25322)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (25322)Memory used [KB]: 8827
% 0.22/0.51 % (25322)Time elapsed: 0.056 s
% 0.22/0.51 % (25322)------------------------------
% 0.22/0.51 % (25322)------------------------------
% 0.22/0.51 % (25285)Success in time 0.125 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------