%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW430-1 : 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 : n020.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 01:30:19 PM UTC 2026
% Result : Unsatisfiable 4.14s 1.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 6
% Syntax : Number of formulae : 92 ( 88 unt; 0 def)
% Number of atoms : 97 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 3 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 1 avg)
% Maximal term depth : 19 ( 4 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 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(f13,axiom,
x3 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f14,axiom,
x3 != x12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f20,axiom,
heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
fof(f22,plain,
heap(sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f23,plain,
heap(sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f22,f1]) ).
fof(f24,plain,
heap(sep(lseg(x5,x2),sep(lseg(x12,x1),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f25,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f26,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f25,f1]) ).
fof(f27,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x12,x6),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f28,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f29,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f30,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f29,f1]) ).
fof(f31,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x2,x12),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f32,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f33,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x3,x11),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f34,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x11),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f35,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x3,x11),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f36,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x3,x11),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f35,f1]) ).
fof(f37,plain,
heap(sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x3,x11),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f38,plain,
heap(sep(lseg(x12,x6),sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f39,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f40,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x3,x1),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f41,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x1),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f42,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x3,x1),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f43,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x3,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f44,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x3,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f45,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f46,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f47,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x3,x6),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f48,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x6),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f49,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x3,x6),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f50,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x3,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f51,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x3,x6),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f52,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f53,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f54,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f55,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x9,x10),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f56,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f55,f1]) ).
fof(f57,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f58,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x11,x8),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f59,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x11,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f60,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x11,x8),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f61,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x11,x8),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f62,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x11,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f61,f1]) ).
fof(f63,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x11,x8),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f64,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f65,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f66,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f67,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x11,x6),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f68,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x11,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f69,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x11,x6),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f68,f1]) ).
fof(f70,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x11,x6),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f71,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x11,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f72,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x11,x6),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f73,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f72,f1]) ).
fof(f74,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f75,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f74,f1]) ).
fof(f76,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x6,x2),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f77,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x6,x2),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f76,f1]) ).
fof(f78,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f77,f1]) ).
fof(f79,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f80,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x6,x2),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f79,f1]) ).
fof(f81,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x6,x2),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f82,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x6,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f83,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x1),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x6,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f84,plain,
( x3 = x11
| x3 = x6 ),
inference(resolution,[],[f83,f8]) ).
fof(f85,plain,
x3 = x6,
inference(forward_subsumption_resolution,[],[f84,f13]) ).
fof(f86,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x3,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(superposition,[],[f83,f85]) ).
fof(f87,plain,
heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x3,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))))),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f88,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x3,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f87,f2]) ).
fof(f89,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x3,x2),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f90,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x3,x2),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f91,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x3,x2),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f90,f1]) ).
fof(f92,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x3,x2),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f93,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x2),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f92,f1]) ).
fof(f94,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f95,plain,
( x3 = x11
| x3 = x2 ),
inference(resolution,[],[f94,f8]) ).
fof(f96,plain,
x3 = x2,
inference(forward_subsumption_resolution,[],[f95,f13]) ).
fof(f97,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x3,x12),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(superposition,[],[f94,f96]) ).
fof(f101,plain,
heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x3,x12),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp))))))))))))))))),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f103,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x3,x12),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))),
inference(forward_demodulation,[],[f101,f2]) ).
fof(f105,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x3,x12),sep(lseg(x12,x1),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))),
inference(forward_demodulation,[],[f103,f1]) ).
fof(f107,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x3,x12),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))),
inference(forward_demodulation,[],[f105,f1]) ).
fof(f109,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x3,x12),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))),
inference(forward_demodulation,[],[f107,f1]) ).
fof(f111,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x12),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f113,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x12),sep(lseg(x3,x1),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x1),sep(lseg(x5,x3),sep(lseg(x5,x4),sep(lseg(x5,x7),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),emp)))))))))))))))),
inference(forward_demodulation,[],[f111,f1]) ).
fof(f125,plain,
( x3 = x11
| x3 = x12 ),
inference(resolution,[],[f113,f8]) ).
fof(f126,plain,
x3 = x12,
inference(forward_subsumption_resolution,[],[f125,f13]) ).
fof(f127,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW430-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 13:54:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 4.14/1.30 % (173365)Input is clausal, will run a generic CNF schedule.
% 4.14/1.30 % (173372)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=106187304:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.14/1.30 % (173375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=113214727:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.14/1.30 % (173376)dis-21_1_sil=8000:lcm=predicate:random_seed=621589589: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)
% 4.14/1.30 % (173374)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=664819831:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.14/1.30 % (173370)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=3089257587:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.14/1.30 % (173373)lrs+10_1_sil=8000:sp=occurrence:random_seed=479534850:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.14/1.30 % (173371)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=336731732:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.14/1.30 % (173376)Refutation not found, incomplete strategy
% 4.14/1.30 % (173376)------------------------------
% 4.14/1.30 % (173376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.30 % (173376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.30 % (173376)CaDiCaL version: 2.1.3
% 4.14/1.30 % (173376)Termination reason: Refutation not found, incomplete strategy
% 4.14/1.30 % (173376)Time elapsed: 0.006 s
% 4.14/1.30 % (173376)Peak memory usage: 88 MB
% 4.14/1.30 % (173376)Instructions burned: 4 (million)
% 4.14/1.30 % (173373)Instruction limit reached!
% 4.14/1.30 % (173373)------------------------------
% 4.14/1.30 % (173373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.30 % (173373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.30 % (173373)CaDiCaL version: 2.1.3
% 4.14/1.30 % (173373)Termination reason: Instruction limit
% 4.14/1.30 % (173373)Termination phase: Saturation
% 4.14/1.30 % (173373)Time elapsed: 0.056 s
% 4.14/1.30 % (173373)Peak memory usage: 88 MB
% 4.14/1.30 % (173373)Instructions burned: 107 (million)
% 4.14/1.30 % (173374)Instruction limit reached!
% 4.14/1.30 % (173374)------------------------------
% 4.14/1.30 % (173374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.30 % (173374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.30 % (173374)CaDiCaL version: 2.1.3
% 4.14/1.30 % (173374)Termination reason: Instruction limit
% 4.14/1.30 % (173374)Termination phase: Saturation
% 4.14/1.30 % (173374)Time elapsed: 0.063 s
% 4.14/1.30 % (173374)Peak memory usage: 89 MB
% 4.14/1.30 % (173374)Instructions burned: 116 (million)
% 4.14/1.30 % (173375)Instruction limit reached!
% 4.14/1.30 % (173375)------------------------------
% 4.14/1.30 % (173375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.30 % (173375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.30 % (173375)CaDiCaL version: 2.1.3
% 4.14/1.30 % (173375)Termination reason: Instruction limit
% 4.14/1.30 % (173375)Termination phase: Saturation
% 4.14/1.30 % (173375)Time elapsed: 0.099 s
% 4.14/1.30 % (173375)Peak memory usage: 89 MB
% 4.14/1.30 % (173375)Instructions burned: 181 (million)
% 4.14/1.30 % (173384)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=165210034:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.14/1.30 % (173384)First to succeed.
% 4.14/1.30 % (173384)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-173365"
% 4.14/1.30 % (173385)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3612848609: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)
% 4.14/1.30 % (173376)------------------------------
% 4.14/1.30 % (173376)------------------------------
% 4.14/1.30 % (173386)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4111548172:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.14/1.30 % (173386)Refutation not found, incomplete strategy
% 4.14/1.30 % (173386)------------------------------
% 4.14/1.30 % (173386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.30 % (173386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.30 % (173386)CaDiCaL version: 2.1.3
% 4.14/1.30 % (173386)Termination reason: Refutation not found, incomplete strategy
% 4.14/1.30 % (173386)Time elapsed: 0.004 s
% 4.14/1.30 % (173386)Peak memory usage: 88 MB
% 4.14/1.30 % (173386)Instructions burned: 6 (million)
% 4.14/1.30 % (173385)Instruction limit reached!
% 4.14/1.30 % (173385)------------------------------
% 4.14/1.30 % (173385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.30 % (173385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.30 % (173385)CaDiCaL version: 2.1.3
% 4.14/1.30 % (173385)Termination reason: Instruction limit
% 4.14/1.30 % (173385)Termination phase: Saturation
% 4.14/1.30 % (173385)Time elapsed: 0.115 s
% 4.14/1.30 % (173385)Peak memory usage: 90 MB
% 4.14/1.30 % (173385)Instructions burned: 190 (million)
% 4.14/1.30 % (173390)lrs+10_64_to=lpo:sil=8000:random_seed=315470982:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.14/1.30 % (173384)Refutation found. Thanks to Tanya!
% 4.14/1.30 % SZS status Unsatisfiable for theBenchmark
% 4.14/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.40 % (173384)------------------------------
% 0.20/1.40 % (173384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (173384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (173384)CaDiCaL version: 2.1.3
% 0.20/1.40 % (173384)Termination reason: Refutation
% 0.20/1.40 % (173384)Time elapsed: 0.008 s
% 0.20/1.40 % (173384)Peak memory usage: 88 MB
% 0.20/1.40 % (173384)Instructions burned: 14 (million)
% 0.20/1.40 % (173384)------------------------------
% 0.20/1.40 % (173384)------------------------------
% 0.20/1.40 % (173365)Success in time 0.639 s
% 0.20/1.40 % Vampire exiting
%------------------------------------------------------------------------------