%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW425-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:30:18 PM UTC 2026
% Result : Unsatisfiable 5.53s 1.58s
% Output : Refutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 10
% Syntax : Number of formulae : 101 ( 27 unt; 3 def)
% Number of atoms : 217 ( 46 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 222 ( 106 ~; 113 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f15,axiom,
x1 != x10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f22,axiom,
x7 != x10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f27,axiom,
x2 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_11) ).
fof(f28,plain,
x7 != x2,
inference(reorient_equations,[],[f27]) ).
fof(f29,axiom,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_12) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X1,X4),sep(X0,sep(lseg(X1,X2),X3))))
| X1 = X4
| X1 = X2 ),
inference(superposition,[],[f8,f1]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(lseg(X1,X4),sep(X5,sep(X0,sep(lseg(X1,X2),X3)))))
| X1 = X4
| X1 = X2 ),
inference(superposition,[],[f192,f1]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
| X1 = X2
| X1 = X3 ),
inference(superposition,[],[f192,f1]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(X4,sep(lseg(X1,X5),sep(X0,sep(lseg(X1,X2),X3)))))
| X1 = X5
| X1 = X2 ),
inference(superposition,[],[f356,f1]) ).
fof(f640,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ heap(sep(lseg(X1,X4),sep(X5,sep(X6,sep(X0,sep(lseg(X1,X2),X3))))))
| X1 = X4
| X1 = X2 ),
inference(superposition,[],[f351,f1]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(X5,sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))))
| X1 = X2
| X1 = X3 ),
inference(superposition,[],[f358,f1]) ).
fof(f1035,plain,
( x2 = x5
| x10 = x2 ),
inference(resolution,[],[f29,f356]) ).
fof(f1036,plain,
( x2 = x5
| x1 = x2 ),
inference(resolution,[],[f29,f358]) ).
fof(f1037,plain,
( x10 = x2
| x1 = x2 ),
inference(resolution,[],[f29,f665]) ).
fof(f1056,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(superposition,[],[f29,f1]) ).
fof(f1057,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x2,x1),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1056,f1]) ).
fof(f1077,definition,
( spl0_1
<=> x1 = x2 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1079,plain,
( x1 = x2
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1081,definition,
( spl0_2
<=> x10 = x2 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1082,plain,
( x10 != x2
| spl0_2 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1083,plain,
( x10 = x2
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1084,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1037,f1081,f1077]) ).
fof(f1086,definition,
( spl0_3
<=> x2 = x5 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1088,plain,
( x2 = x5
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1089,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f1036,f1086,f1077]) ).
fof(f1090,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f1035,f1086,f1081]) ).
fof(f1091,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1057,f1]) ).
fof(f1108,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x7,x6),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1091,f1]) ).
fof(f1122,plain,
heap(sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1108,f1]) ).
fof(f1132,plain,
heap(sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x3,x10),sep(lseg(x2,x1),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1122,f1]) ).
fof(f1140,plain,
heap(sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x3,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1132,f1]) ).
fof(f1146,plain,
heap(sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x3,x10),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1140,f1]) ).
fof(f1152,plain,
heap(sep(lseg(x5,x7),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1146,f1]) ).
fof(f1158,plain,
heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),sep(lseg(x6,x9),emp))))))))),
inference(forward_demodulation,[],[f1152,f1]) ).
fof(f1164,plain,
heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x6,x9),sep(lseg(x2,x1),emp))))))))),
inference(forward_demodulation,[],[f1158,f1]) ).
fof(f1170,plain,
heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x6,x9),sep(lseg(x9,x1),sep(lseg(x2,x1),emp))))))))),
inference(forward_demodulation,[],[f1164,f1]) ).
fof(f1176,plain,
heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x6,x9),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),emp))))))))),
inference(forward_demodulation,[],[f1170,f1]) ).
fof(f1182,plain,
heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x7,x6),sep(lseg(x6,x9),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),emp))))))))),
inference(forward_demodulation,[],[f1176,f1]) ).
fof(f1188,plain,
heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x9,x1),sep(lseg(x2,x1),emp))))))))),
inference(forward_demodulation,[],[f1182,f1]) ).
fof(f1194,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x10,x5),sep(lseg(x10,x10),sep(lseg(x9,x1),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f1188,f1083]) ).
fof(f1199,plain,
( x10 = x5
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1088,f1083]) ).
fof(f1201,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x10,x5),sep(lseg(x7,x6),sep(lseg(x10,x10),sep(lseg(x9,x1),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1194,f1]) ).
fof(f1205,plain,
( x1 != x5
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f15,f1199]) ).
fof(f1206,plain,
( x7 != x5
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f22,f1199]) ).
fof(f1208,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x10,x5),sep(lseg(x10,x10),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1201,f1]) ).
fof(f1210,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x10,x5),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x10,x1),emp))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1208,f2]) ).
fof(f1212,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x5),sep(lseg(x6,x9),sep(lseg(x5,x5),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1210,f1199]) ).
fof(f1214,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x5),sep(lseg(x5,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1212,f1]) ).
fof(f1216,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x5,x5),sep(lseg(x3,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1214,f1]) ).
fof(f1218,plain,
( heap(sep(lseg(x5,x5),sep(lseg(x5,x7),sep(lseg(x3,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1216,f1]) ).
fof(f1220,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp)))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1218,f2]) ).
fof(f1222,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x1),sep(lseg(x9,x1),emp)))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1220,f1]) ).
fof(f1695,plain,
( x7 = x5
| x1 = x5
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f640,f1222]) ).
fof(f1709,plain,
( x1 = x5
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1695,f1206]) ).
fof(f1710,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1709,f1205]) ).
fof(f1711,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1710]) ).
fof(f1712,plain,
( x1 = x5
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1079,f1088]) ).
fof(f1713,plain,
( x10 != x5
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1082,f1088]) ).
fof(f1714,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x5),sep(lseg(x5,x10),sep(lseg(x9,x1),sep(lseg(x5,x1),emp)))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1188,f1088]) ).
fof(f1717,plain,
( x7 != x5
| ~ spl0_3 ),
inference(forward_demodulation,[],[f28,f1088]) ).
fof(f1722,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x5,x5),sep(lseg(x7,x6),sep(lseg(x5,x10),sep(lseg(x9,x1),sep(lseg(x5,x1),emp)))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1714,f1]) ).
fof(f1724,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x5,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x10),sep(lseg(x9,x1),sep(lseg(x5,x1),emp)))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1722,f1]) ).
fof(f1726,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x5,x5),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x10),sep(lseg(x9,x1),sep(lseg(x5,x1),emp)))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1724,f1]) ).
fof(f1728,plain,
( heap(sep(lseg(x5,x5),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x10),sep(lseg(x9,x1),sep(lseg(x5,x1),emp)))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1726,f1]) ).
fof(f1730,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x10),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1728,f2]) ).
fof(f1732,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x5,x10),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1730,f1]) ).
fof(f1734,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x5,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1732,f1]) ).
fof(f1736,plain,
( heap(sep(lseg(x5,x7),sep(lseg(x5,x10),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1734,f1]) ).
fof(f1738,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),sep(lseg(x5,x1),emp))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1736,f1]) ).
fof(f1740,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x1),sep(lseg(x9,x1),emp))))))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1738,f1]) ).
fof(f1742,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x5,x5),sep(lseg(x9,x5),emp))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1740,f1712]) ).
fof(f1744,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x5,x5),sep(lseg(x7,x6),sep(lseg(x9,x5),emp))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1742,f1]) ).
fof(f1746,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x5,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x5),emp))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1744,f1]) ).
fof(f1748,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x5,x5),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x5),emp))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1746,f1]) ).
fof(f1750,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x5),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x5),emp))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1748,f1]) ).
fof(f1752,plain,
( heap(sep(lseg(x5,x5),sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x5),emp))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1750,f1]) ).
fof(f1754,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x5),emp)))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1752,f2]) ).
fof(f1756,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x9,x5),sep(lseg(x7,x6),emp)))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1754,f1]) ).
fof(f1758,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x9,x5),sep(lseg(x6,x9),sep(lseg(x7,x6),emp)))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1756,f1]) ).
fof(f1760,plain,
( heap(sep(lseg(x5,x10),sep(lseg(x5,x7),sep(lseg(x9,x5),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),emp)))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1758,f1]) ).
fof(f1842,plain,
( x10 = x5
| x7 = x5
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f1760,f8]) ).
fof(f1889,plain,
( x7 = x5
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1842,f1713]) ).
fof(f1910,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1889,f1717]) ).
fof(f1911,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1910]) ).
fof(f1942,plain,
( x1 = x10
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1079,f1083]) ).
fof(f1948,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1942,f15]) ).
fof(f1949,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1084]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s3,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1711]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1911]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s7,plain,
spl0_1,
inference(rat,[],[s4,s1,s2]) ).
cnf(s8,plain,
~ spl0_2,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
~ spl0_3,
inference(rat,[],[s5,s7,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s3,s9,s8]) ).
fof(f1956,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW425-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:57:29 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 5.53/1.58 % (3636070)Input is clausal, will run a generic CNF schedule.
% 5.53/1.58 % (3636079)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1801849652:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.53/1.58 % (3636078)lrs+10_1_sil=8000:sp=occurrence:random_seed=2382464933:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.53/1.58 % (3636075)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=3113325378:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.53/1.58 % (3636076)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2500653439:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.53/1.58 % (3636077)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=735929815:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.53/1.58 % (3636079)Instruction limit reached!
% 5.53/1.58 % (3636079)------------------------------
% 5.53/1.58 % (3636079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636079)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636079)Termination reason: Instruction limit
% 5.53/1.58 % (3636079)Termination phase: Saturation
% 5.53/1.58 % (3636079)Time elapsed: 0.038 s
% 5.53/1.58 % (3636079)Peak memory usage: 89 MB
% 5.53/1.58 % (3636079)Instructions burned: 117 (million)
% 5.53/1.58 % (3636080)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=974754279:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.53/1.58 % (3636081)dis-21_1_sil=8000:lcm=predicate:random_seed=2543066938: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)
% 5.53/1.58 % (3636081)Refutation not found, incomplete strategy
% 5.53/1.58 % (3636081)------------------------------
% 5.53/1.58 % (3636081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636081)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636081)Termination reason: Refutation not found, incomplete strategy
% 5.53/1.58 % (3636081)Time elapsed: 0.006 s
% 5.53/1.58 % (3636081)Peak memory usage: 88 MB
% 5.53/1.58 % (3636081)Instructions burned: 8 (million)
% 5.53/1.58 % (3636078)Instruction limit reached!
% 5.53/1.58 % (3636078)------------------------------
% 5.53/1.58 % (3636078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636078)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636078)Termination reason: Instruction limit
% 5.53/1.58 % (3636078)Termination phase: Saturation
% 5.53/1.58 % (3636078)Time elapsed: 0.056 s
% 5.53/1.58 % (3636078)Peak memory usage: 88 MB
% 5.53/1.58 % (3636078)Instructions burned: 109 (million)
% 5.53/1.58 % (3636080)Instruction limit reached!
% 5.53/1.58 % (3636080)------------------------------
% 5.53/1.58 % (3636080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636080)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636080)Termination reason: Instruction limit
% 5.53/1.58 % (3636080)Termination phase: Saturation
% 5.53/1.58 % (3636080)Time elapsed: 0.100 s
% 5.53/1.58 % (3636080)Peak memory usage: 89 MB
% 5.53/1.58 % (3636080)Instructions burned: 181 (million)
% 5.53/1.58 % (3636087)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=2847246861:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.53/1.58 % (3636087)Refutation not found, incomplete strategy
% 5.53/1.58 % (3636087)------------------------------
% 5.53/1.58 % (3636087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636087)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636087)Termination reason: Refutation not found, incomplete strategy
% 5.53/1.58 % (3636087)Time elapsed: 0.001 s
% 5.53/1.58 % (3636087)Peak memory usage: 88 MB
% 5.53/1.58 % (3636087)Instructions burned: 2 (million)
% 5.53/1.58 % (3636090)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=976581586:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.53/1.58 % (3636081)------------------------------
% 5.53/1.58 % (3636081)------------------------------
% 5.53/1.58 % (3636087)------------------------------
% 5.53/1.58 % (3636087)------------------------------
% 5.53/1.58 % (3636092)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2117480644:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.53/1.58 % (3636092)Refutation not found, incomplete strategy
% 5.53/1.58 % (3636092)------------------------------
% 5.53/1.58 % (3636092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636092)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636092)Termination reason: Refutation not found, incomplete strategy
% 5.53/1.58 % (3636092)Time elapsed: 0.002 s
% 5.53/1.58 % (3636092)Peak memory usage: 88 MB
% 5.53/1.58 % (3636092)Instructions burned: 2 (million)
% 5.53/1.58 % (3636090)Instruction limit reached!
% 5.53/1.58 % (3636090)------------------------------
% 5.53/1.58 % (3636090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636090)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636090)Termination reason: Instruction limit
% 5.53/1.58 % (3636090)Termination phase: Saturation
% 5.53/1.58 % (3636090)Time elapsed: 0.115 s
% 5.53/1.58 % (3636090)Peak memory usage: 91 MB
% 5.53/1.58 % (3636090)Instructions burned: 189 (million)
% 5.53/1.58 % (3636096)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1897192241:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.53/1.58 % (3636095)lrs+10_64_to=lpo:sil=8000:random_seed=3853428612:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.53/1.58 % (3636097)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3765611121:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.53/1.58 % (3636095)Instruction limit reached!
% 5.53/1.58 % (3636095)------------------------------
% 5.53/1.58 % (3636095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636096)First to succeed.
% 5.53/1.58 % (3636095)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636095)Termination reason: Instruction limit
% 5.53/1.58 % (3636095)Termination phase: Saturation
% 5.53/1.58 % (3636095)Time elapsed: 0.063 s
% 5.53/1.58 % (3636095)Peak memory usage: 88 MB
% 5.53/1.58 % (3636095)Instructions burned: 126 (million)
% 5.53/1.58 % (3636096)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3636070"
% 5.53/1.58 % (3636092)------------------------------
% 5.53/1.58 % (3636092)------------------------------
% 5.53/1.58 % (3636097)Instruction limit reached!
% 5.53/1.58 % (3636097)------------------------------
% 5.53/1.58 % (3636097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636097)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636097)Termination reason: Instruction limit
% 5.53/1.58 % (3636097)Termination phase: Saturation
% 5.53/1.58 % (3636097)Time elapsed: 0.105 s
% 5.53/1.58 % (3636097)Peak memory usage: 90 MB
% 5.53/1.58 % (3636097)Instructions burned: 157 (million)
% 5.53/1.58 % (3636101)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3856885530:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.53/1.58 % (3636075)Also succeeded, but the first one will report.
% 5.53/1.58 % (3636102)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1298998524:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.53/1.58 % (3636102)Instruction limit reached!
% 5.53/1.58 % (3636102)------------------------------
% 5.53/1.58 % (3636102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.58 % (3636102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.58 % (3636102)CaDiCaL version: 2.1.3
% 5.53/1.58 % (3636102)Termination reason: Instruction limit
% 5.53/1.58 % (3636102)Termination phase: Saturation
% 5.53/1.58 % (3636102)Time elapsed: 0.062 s
% 5.53/1.58 % (3636102)Peak memory usage: 88 MB
% 5.53/1.58 % (3636102)Instructions burned: 106 (million)
% 5.53/1.58 % (3636096)Refutation found. Thanks to Tanya!
% 5.53/1.58 % SZS status Unsatisfiable for theBenchmark
% 5.53/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 7.03/1.78 % (3636096)------------------------------
% 7.03/1.78 % (3636096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.78 % (3636096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.78 % (3636096)CaDiCaL version: 2.1.3
% 7.03/1.78 % (3636096)Termination reason: Refutation
% 7.03/1.78 % (3636096)Time elapsed: 0.065 s
% 7.03/1.78 % (3636096)Peak memory usage: 90 MB
% 7.03/1.78 % (3636096)Instructions burned: 105 (million)
% 7.03/1.78 % (3636096)------------------------------
% 7.03/1.78 % (3636096)------------------------------
% 7.03/1.78 % (3636070)Success in time 0.917 s
% 7.03/1.78 % Vampire exiting
%------------------------------------------------------------------------------