%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW436-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:30:20 PM UTC 2026
% Result : Unsatisfiable 11.73s 2.33s
% Output : Refutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 98
% Number of leaves : 8
% Syntax : Number of formulae : 151 ( 77 unt; 2 def)
% Number of atoms : 275 ( 41 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 222 ( 98 ~; 122 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f17,axiom,
x4 != x6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).
fof(f18,plain,
x6 != x4,
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
x4 != x7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
fof(f24,axiom,
heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).
fof(f26,plain,
heap(sep(lseg(x4,x9),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f27,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x13,x2),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f28,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x13,x2),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f29,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x13,x2),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f30,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x13,x2),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f29,f1]) ).
fof(f31,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f32,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x13,x2),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f33,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f34,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x13,x2),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f35,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f36,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x13,x2),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f35,f1]) ).
fof(f37,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f38,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f39,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f40,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f41,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x15,x4),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f42,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f43,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x2,x15),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f44,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x2,x15),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f45,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f46,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x2,x15),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f47,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f48,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x2,x9),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f49,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x2,x9),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f50,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x2,x9),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f51,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x2,x9),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f52,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f53,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x9,x7),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f54,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x9,x7),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f55,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f56,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x1),sep(lseg(x9,x7),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f55,f1]) ).
fof(f57,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f58,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x9,x6),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f59,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x9,x6),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f60,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f61,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x9,x6),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f62,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f61,f1]) ).
fof(f63,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f64,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f65,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x3,x10),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f66,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x3,x10),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f67,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x3,x10),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f68,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f69,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f68,f1]) ).
fof(f70,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x3,x10),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f71,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x3,x10),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f72,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f73,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f72,f1]) ).
fof(f74,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x6,x2),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f75,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f74,f1]) ).
fof(f76,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f77,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x6,x2),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f76,f1]) ).
fof(f78,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x6,x2),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f77,f1]) ).
fof(f79,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x6,x2),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f80,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x6,x2),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f79,f1]) ).
fof(f81,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f82,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x6,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f83,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x6,x2),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f84,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x6,x2),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f85,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x6,x2),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f84,f1]) ).
fof(f86,plain,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f87,plain,
heap(sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f88,plain,
heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))),
inference(forward_demodulation,[],[f87,f1]) ).
fof(f92,plain,
! [X2,X3,X0,X1] : sep(X1,sep(X3,sep(X0,X2))) = sep(X3,sep(X0,sep(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4,X5] : sep(X4,sep(X5,sep(X0,sep(X1,sep(X2,X3))))) = sep(X2,sep(X4,sep(X5,sep(X0,sep(X1,X3))))),
inference(superposition,[],[f92,f92]) ).
fof(f135,plain,
! [X2,X3,X0,X1] : sep(X0,sep(X1,sep(X2,X3))) = sep(X0,sep(X2,sep(X1,X3))),
inference(superposition,[],[f1,f92]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X4] : sep(X2,sep(X4,sep(X0,sep(X1,X3)))) = sep(X4,sep(X0,sep(X1,sep(X2,X3)))),
inference(superposition,[],[f1,f92]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
| X1 = X2
| X1 = X3 ),
inference(superposition,[],[f8,f92]) ).
fof(f150,plain,
( x4 = x9
| x13 = x4 ),
inference(resolution,[],[f138,f88]) ).
fof(f165,definition,
( spl0_1
<=> x13 = x4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f167,plain,
( x13 = x4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f169,definition,
( spl0_2
<=> x4 = x9 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f170,plain,
( x4 != x9
| spl0_2 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f171,plain,
( x4 = x9
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f150,f169,f165]) ).
fof(f173,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x4),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp)))))))))))))))))
| ~ spl0_2 ),
inference(superposition,[],[f88,f171]) ).
fof(f174,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f173,f2]) ).
fof(f175,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x6),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f174,f120]) ).
fof(f176,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x4,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f175,f137]) ).
fof(f177,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x7),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f176,f120]) ).
fof(f178,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f177,f92]) ).
fof(f179,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x13,x2),emp))))))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f178,f135]) ).
fof(f180,plain,
( x6 = x4
| x13 = x4
| ~ spl0_2 ),
inference(resolution,[],[f179,f138]) ).
fof(f181,plain,
( x13 = x4
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f180,f18]) ).
fof(f182,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f181,f169,f165]) ).
fof(f183,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x4),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x4,x2),emp))))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f179,f167]) ).
fof(f184,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x4,x2),emp)))))))))))))))))
| ~ spl0_1 ),
inference(superposition,[],[f88,f167]) ).
fof(f185,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x4,x2),emp)))))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f184,f135]) ).
fof(f186,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x4,x2),emp)))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f183,f2]) ).
fof(f187,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),sep(lseg(x4,x2),emp))))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f185,f2]) ).
fof(f188,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x4,x2),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f186,f120]) ).
fof(f189,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x4,x2),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f187,f120]) ).
fof(f190,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x2),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f188,f120]) ).
fof(f191,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x2),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f189,f120]) ).
fof(f192,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x6),sep(lseg(x4,x2),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f190,f137]) ).
fof(f193,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x2),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f191,f120]) ).
fof(f194,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f193,f135]) ).
fof(f203,plain,
( x6 = x4
| x4 = x2
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f192,f138]) ).
fof(f204,plain,
( x4 = x2
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f203,f18]) ).
fof(f205,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x4),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x4),sep(lseg(x4,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f192,f204]) ).
fof(f210,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x4),sep(lseg(x4,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f205,f2]) ).
fof(f213,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x4,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f210,f120]) ).
fof(f216,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x4),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f213,f135]) ).
fof(f219,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f216,f2]) ).
fof(f222,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x4,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f219,f120]) ).
fof(f225,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x15),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f222,f135]) ).
fof(f246,plain,
( x6 = x4
| x4 = x15
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f225,f138]) ).
fof(f247,plain,
( x4 = x15
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f246,f18]) ).
fof(f248,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x4),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x4,x4),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f225,f247]) ).
fof(f255,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x4,x4),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f248,f2]) ).
fof(f259,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x4),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f255,f120]) ).
fof(f263,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f259,f2]) ).
fof(f267,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x6),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x8,x4),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f263,f135]) ).
fof(f305,plain,
( x6 = x4
| x4 = x7
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f267,f138]) ).
fof(f306,plain,
( x4 = x7
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f305,f18]) ).
fof(f307,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f306,f19]) ).
fof(f308,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f309,plain,
( x4 = x2
| x4 = x9
| ~ spl0_1 ),
inference(resolution,[],[f194,f138]) ).
fof(f310,plain,
( x4 = x2
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f309,f170]) ).
fof(f311,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f194,f310]) ).
fof(f314,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f311,f2]) ).
fof(f316,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f314,f120]) ).
fof(f318,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x4,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f316,f135]) ).
fof(f320,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x15),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x15,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f318,f120]) ).
fof(f329,plain,
( x4 = x15
| x4 = x9
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f320,f138]) ).
fof(f330,plain,
( x4 = x15
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f329,f170]) ).
fof(f331,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x4,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f320,f330]) ).
fof(f336,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x4,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f331,f2]) ).
fof(f339,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x4),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f336,f120]) ).
fof(f342,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp))))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f339,f135]) ).
fof(f345,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x4),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f342,f2]) ).
fof(f348,plain,
( heap(sep(lseg(x6,x4),sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x4),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x14,x8),emp)))))))))))))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f345,f135]) ).
fof(f366,plain,
( x4 = x9
| x4 = x9
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f348,f138]) ).
fof(f367,plain,
( x4 = x9
| ~ spl0_1
| spl0_2 ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f368,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f367,f170]) ).
fof(f369,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f368]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f182]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f308]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f369]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s1,s2]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s3,s6,s5]) ).
fof(f370,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW436-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 13:57:57 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 11.21/2.21 % (3859799)Input is clausal, will run a generic CNF schedule.
% 11.21/2.21 % (3859804)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=2594222952:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.21/2.21 % (3859809)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4145124187:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.21/2.21 % (3859807)lrs+10_1_sil=8000:sp=occurrence:random_seed=1704965041:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.21/2.21 % (3859808)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=225038669:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.21/2.21 % (3859805)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3322495753:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.21/2.21 % (3859806)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=324106534:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.21/2.21 % (3859810)dis-21_1_sil=8000:lcm=predicate:random_seed=2235718956: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)
% 11.21/2.21 % (3859810)Refutation not found, incomplete strategy
% 11.21/2.21 % (3859810)------------------------------
% 11.21/2.21 % (3859810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.21 % (3859810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.21 % (3859810)CaDiCaL version: 2.1.3
% 11.21/2.21 % (3859810)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.21 % (3859810)Time elapsed: 0.005 s
% 11.21/2.21 % (3859810)Peak memory usage: 88 MB
% 11.21/2.21 % (3859810)Instructions burned: 6 (million)
% 11.21/2.21 % (3859807)Instruction limit reached!
% 11.21/2.21 % (3859807)------------------------------
% 11.21/2.21 % (3859807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.21 % (3859807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.21 % (3859807)CaDiCaL version: 2.1.3
% 11.21/2.21 % (3859807)Termination reason: Instruction limit
% 11.21/2.21 % (3859807)Termination phase: Saturation
% 11.21/2.21 % (3859807)Time elapsed: 0.055 s
% 11.21/2.21 % (3859807)Peak memory usage: 88 MB
% 11.21/2.21 % (3859807)Instructions burned: 109 (million)
% 11.21/2.21 % (3859808)Instruction limit reached!
% 11.21/2.21 % (3859808)------------------------------
% 11.21/2.21 % (3859808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.21 % (3859808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.21 % (3859808)CaDiCaL version: 2.1.3
% 11.21/2.21 % (3859808)Termination reason: Instruction limit
% 11.21/2.21 % (3859808)Termination phase: Saturation
% 11.21/2.21 % (3859808)Time elapsed: 0.063 s
% 11.21/2.21 % (3859808)Peak memory usage: 89 MB
% 11.21/2.21 % (3859808)Instructions burned: 114 (million)
% 11.21/2.21 % (3859809)Instruction limit reached!
% 11.21/2.21 % (3859809)------------------------------
% 11.21/2.21 % (3859809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.21 % (3859809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.21 % (3859809)CaDiCaL version: 2.1.3
% 11.21/2.21 % (3859809)Termination reason: Instruction limit
% 11.21/2.21 % (3859809)Termination phase: Saturation
% 11.21/2.21 % (3859809)Time elapsed: 0.102 s
% 11.21/2.21 % (3859809)Peak memory usage: 89 MB
% 11.21/2.21 % (3859809)Instructions burned: 180 (million)
% 11.21/2.21 % (3859818)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=2576438349:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.21/2.21 % (3859818)Refutation not found, incomplete strategy
% 11.21/2.21 % (3859818)------------------------------
% 11.21/2.21 % (3859818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.21 % (3859818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.21 % (3859818)CaDiCaL version: 2.1.3
% 11.21/2.21 % (3859818)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.21 % (3859818)Time elapsed: 0.004 s
% 11.21/2.21 % (3859818)Peak memory usage: 88 MB
% 11.21/2.21 % (3859818)Instructions burned: 6 (million)
% 11.21/2.21 % (3859819)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3187400475: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)
% 11.73/2.33 % (3859820)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1093548484:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.73/2.33 % (3859820)Refutation not found, incomplete strategy
% 11.73/2.33 % (3859820)------------------------------
% 11.73/2.33 % (3859820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859820)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859820)Termination reason: Refutation not found, incomplete strategy
% 11.73/2.33 % (3859820)Time elapsed: 0.003 s
% 11.73/2.33 % (3859820)Peak memory usage: 88 MB
% 11.73/2.33 % (3859820)Instructions burned: 5 (million)
% 11.73/2.33 % (3859810)------------------------------
% 11.73/2.33 % (3859810)------------------------------
% 11.73/2.33 % (3859819)Instruction limit reached!
% 11.73/2.33 % (3859819)------------------------------
% 11.73/2.33 % (3859819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859819)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859819)Termination reason: Instruction limit
% 11.73/2.33 % (3859819)Termination phase: Saturation
% 11.73/2.33 % (3859819)Time elapsed: 0.120 s
% 11.73/2.33 % (3859819)Peak memory usage: 90 MB
% 11.73/2.33 % (3859819)Instructions burned: 190 (million)
% 11.73/2.33 % (3859824)lrs+10_64_to=lpo:sil=8000:random_seed=1624648973:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.73/2.33 % (3859818)------------------------------
% 11.73/2.33 % (3859818)------------------------------
% 11.73/2.33 % (3859825)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1278897256:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.73/2.33 % (3859824)Instruction limit reached!
% 11.73/2.33 % (3859824)------------------------------
% 11.73/2.33 % (3859824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859824)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859824)Termination reason: Instruction limit
% 11.73/2.33 % (3859824)Termination phase: Saturation
% 11.73/2.33 % (3859824)Time elapsed: 0.072 s
% 11.73/2.33 % (3859824)Peak memory usage: 88 MB
% 11.73/2.33 % (3859824)Instructions burned: 126 (million)
% 11.73/2.33 % (3859820)------------------------------
% 11.73/2.33 % (3859820)------------------------------
% 11.73/2.33 % (3859825)Instruction limit reached!
% 11.73/2.33 % (3859825)------------------------------
% 11.73/2.33 % (3859825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859825)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859825)Termination reason: Instruction limit
% 11.73/2.33 % (3859825)Termination phase: Saturation
% 11.73/2.33 % (3859825)Time elapsed: 0.112 s
% 11.73/2.33 % (3859825)Peak memory usage: 89 MB
% 11.73/2.33 % (3859825)Instructions burned: 195 (million)
% 11.73/2.33 % (3859827)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3530686622:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.73/2.33 % (3859829)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1359244217:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.73/2.33 % (3859830)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=1727090794:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.73/2.33 % (3859827)Instruction limit reached!
% 11.73/2.33 % (3859827)------------------------------
% 11.73/2.33 % (3859827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859827)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859827)Termination reason: Instruction limit
% 11.73/2.33 % (3859827)Termination phase: Saturation
% 11.73/2.33 % (3859827)Time elapsed: 0.099 s
% 11.73/2.33 % (3859827)Peak memory usage: 91 MB
% 11.73/2.33 % (3859827)Instructions burned: 157 (million)
% 11.73/2.33 % (3859832)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3295083685:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.73/2.33 % (3859832)Refutation not found, incomplete strategy
% 11.73/2.33 % (3859832)------------------------------
% 11.73/2.33 % (3859832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859832)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859832)Termination reason: Refutation not found, incomplete strategy
% 11.73/2.33 % (3859832)Time elapsed: 0.003 s
% 11.73/2.33 % (3859832)Peak memory usage: 87 MB
% 11.73/2.33 % (3859832)Instructions burned: 5 (million)
% 11.73/2.33 % (3859830)Instruction limit reached!
% 11.73/2.33 % (3859830)------------------------------
% 11.73/2.33 % (3859830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859830)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859830)Termination reason: Instruction limit
% 11.73/2.33 % (3859830)Termination phase: Saturation
% 11.73/2.33 % (3859830)Time elapsed: 0.063 s
% 11.73/2.33 % (3859830)Peak memory usage: 89 MB
% 11.73/2.33 % (3859830)Instructions burned: 108 (million)
% 11.73/2.33 % (3859835)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2682435113:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 11.73/2.33 % (3859837)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2717921687:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.73/2.33 % (3859832)------------------------------
% 11.73/2.33 % (3859832)------------------------------
% 11.73/2.33 % (3859835)Instruction limit reached!
% 11.73/2.33 % (3859835)------------------------------
% 11.73/2.33 % (3859835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859835)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859835)Termination reason: Instruction limit
% 11.73/2.33 % (3859835)Termination phase: Saturation
% 11.73/2.33 % (3859835)Time elapsed: 0.129 s
% 11.73/2.33 % (3859835)Peak memory usage: 89 MB
% 11.73/2.33 % (3859835)Instructions burned: 242 (million)
% 11.73/2.33 % (3859840)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1088538773:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 11.73/2.33 % (3859841)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1678623480:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.73/2.33 % (3859840)Instruction limit reached!
% 11.73/2.33 % (3859840)------------------------------
% 11.73/2.33 % (3859840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859840)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859840)Termination reason: Instruction limit
% 11.73/2.33 % (3859840)Termination phase: Saturation
% 11.73/2.33 % (3859840)Time elapsed: 0.076 s
% 11.73/2.33 % (3859840)Peak memory usage: 89 MB
% 11.73/2.33 % (3859840)Instructions burned: 136 (million)
% 11.73/2.33 % (3859829)First to succeed.
% 11.73/2.33 % (3859829)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3859799"
% 11.73/2.33 % (3859844)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3520383669:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 11.73/2.33 % (3859841)Instruction limit reached!
% 11.73/2.33 % (3859841)------------------------------
% 11.73/2.33 % (3859841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859841)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859841)Termination reason: Instruction limit
% 11.73/2.33 % (3859841)Termination phase: Saturation
% 11.73/2.33 % (3859841)Time elapsed: 0.291 s
% 11.73/2.33 % (3859841)Peak memory usage: 93 MB
% 11.73/2.33 % (3859841)Instructions burned: 499 (million)
% 11.73/2.33 % (3859844)Instruction limit reached!
% 11.73/2.33 % (3859844)------------------------------
% 11.73/2.33 % (3859844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.33 % (3859844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.33 % (3859844)CaDiCaL version: 2.1.3
% 11.73/2.33 % (3859844)Termination reason: Instruction limit
% 11.73/2.33 % (3859844)Termination phase: Saturation
% 11.73/2.33 % (3859844)Time elapsed: 0.120 s
% 11.73/2.33 % (3859844)Peak memory usage: 90 MB
% 11.73/2.33 % (3859844)Instructions burned: 191 (million)
% 11.73/2.33 % (3859846)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2977898078:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 11.73/2.33 % (3859837)Also succeeded, but the first one will report.
% 11.73/2.33 % (3859829)Refutation found. Thanks to Tanya!
% 11.73/2.33 % SZS status Unsatisfiable for theBenchmark
% 11.73/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 12.37/2.53 % (3859829)------------------------------
% 12.37/2.53 % (3859829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.53 % (3859829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.53 % (3859829)CaDiCaL version: 2.1.3
% 12.37/2.53 % (3859829)Termination reason: Refutation
% 12.37/2.53 % (3859829)Time elapsed: 0.667 s
% 12.37/2.53 % (3859829)Peak memory usage: 129 MB
% 12.37/2.53 % (3859829)Instructions burned: 1007 (million)
% 12.37/2.53 % (3859829)------------------------------
% 12.37/2.53 % (3859829)------------------------------
% 12.37/2.53 % (3859799)Success in time 1.66 s
% 12.37/2.53 % Vampire exiting
%------------------------------------------------------------------------------