%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW434-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:19 PM UTC 2026
% Result : Unsatisfiable 7.27s 1.89s
% Output : Refutation 9.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 15
% Syntax : Number of formulae : 201 ( 52 unt; 9 def)
% Number of atoms : 563 ( 94 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 669 ( 307 ~; 353 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f19,axiom,
x9 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
fof(f20,plain,
x14 != x9,
inference(reorient_equations,[],[f19]) ).
fof(f21,axiom,
x13 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_7) ).
fof(f22,plain,
x14 != x13,
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
heap(sep(lseg(x5,x10),sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f25,plain,
heap(sep(lseg(x13,x12),sep(lseg(x5,x10),sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f26,plain,
heap(sep(lseg(x13,x12),sep(lseg(x1,x7),sep(lseg(x5,x10),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f25,f1]) ).
fof(f27,plain,
heap(sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x5,x10),sep(lseg(x8,x14),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f28,plain,
heap(sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x8,x14),sep(lseg(x5,x10),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f29,plain,
heap(sep(lseg(x1,x7),sep(lseg(x8,x14),sep(lseg(x13,x12),sep(lseg(x5,x10),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f30,plain,
heap(sep(lseg(x8,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x5,x10),sep(lseg(x12,x8),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f29,f1]) ).
fof(f31,plain,
heap(sep(lseg(x8,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f32,plain,
heap(sep(lseg(x8,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x9,x14),sep(lseg(x2,x11),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f33,plain,
heap(sep(lseg(x8,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x9,x14),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f34,plain,
heap(sep(lseg(x8,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x9,x14),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f35,plain,
heap(sep(lseg(x8,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x9,x14),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f36,plain,
heap(sep(lseg(x8,x14),sep(lseg(x1,x7),sep(lseg(x9,x14),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f35,f1]) ).
fof(f37,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x9,x1),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f38,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x9,x1),sep(lseg(x2,x11),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f39,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x9,x1),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f40,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x9,x1),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f41,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x9,x1),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f42,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x1,x7),sep(lseg(x9,x1),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f43,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x3,x9),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f44,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x3,x9),sep(lseg(x2,x11),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f45,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x3,x9),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f46,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f47,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x13,x12),sep(lseg(x3,x9),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f48,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x11,x13),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f49,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x11,x13),sep(lseg(x2,x11),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f50,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x11,x13),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f51,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),sep(lseg(x11,x3),emp))))))))))))),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f52,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x11,x3),sep(lseg(x2,x11),emp))))))))))))),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f53,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x11,x3),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))))),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f54,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x13),sep(lseg(x11,x3),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f55,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x1),sep(lseg(x1,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x3),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))))),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : sep(X1,sep(X3,sep(X0,X2))) = sep(X3,sep(X0,sep(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : sep(X0,sep(X1,sep(X2,X3))) = sep(X0,sep(X2,sep(X1,X3))),
inference(superposition,[],[f1,f59]) ).
fof(f104,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,f59]) ).
fof(f105,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,f59]) ).
fof(f117,plain,
( x14 = x9
| x9 = x1 ),
inference(resolution,[],[f105,f55]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(X5,sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))))
| X1 = X2
| X1 = X3 ),
inference(superposition,[],[f105,f59]) ).
fof(f131,plain,
x9 = x1,
inference(forward_subsumption_resolution,[],[f117,f20]) ).
fof(f132,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x9),sep(lseg(x9,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x3),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))))),
inference(superposition,[],[f55,f131]) ).
fof(f133,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x7),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x3),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))))),
inference(forward_demodulation,[],[f132,f2]) ).
fof(f134,plain,
( x14 = x9
| x7 = x9 ),
inference(resolution,[],[f133,f105]) ).
fof(f135,plain,
x7 = x9,
inference(forward_subsumption_resolution,[],[f134,f20]) ).
fof(f136,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x9),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x3),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp)))))))))))),
inference(superposition,[],[f133,f135]) ).
fof(f139,plain,
heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x11,x3),sep(lseg(x11,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x11),emp))))))))))),
inference(forward_demodulation,[],[f136,f2]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ heap(sep(X5,sep(X6,sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))))
| X1 = X2
| X1 = X3 ),
inference(superposition,[],[f124,f59]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ heap(sep(X5,sep(X6,sep(X7,sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))))))
| X1 = X2
| X1 = X3 ),
inference(superposition,[],[f148,f59]) ).
fof(f189,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ heap(sep(X5,sep(X6,sep(X7,sep(X8,sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))))))
| X1 = X2
| X1 = X3 ),
inference(superposition,[],[f166,f59]) ).
fof(f633,plain,
( x3 = x11
| x13 = x11 ),
inference(resolution,[],[f189,f139]) ).
fof(f668,definition,
( spl0_1
<=> x13 = x11 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f670,plain,
( x13 = x11
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f672,definition,
( spl0_2
<=> x3 = x11 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f673,plain,
( x3 != x11
| spl0_2 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f674,plain,
( x3 = x11
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f675,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f633,f672,f668]) ).
fof(f676,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x3,x3),sep(lseg(x3,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp)))))))))))
| ~ spl0_2 ),
inference(superposition,[],[f139,f674]) ).
fof(f681,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x3,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp)))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f676,f59]) ).
fof(f684,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x3,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f681,f2]) ).
fof(f687,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x13),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f684,f59]) ).
fof(f690,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x13),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x12),emp))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f687,f102]) ).
fof(f697,plain,
( x3 = x9
| x3 = x13
| ~ spl0_2 ),
inference(resolution,[],[f690,f124]) ).
fof(f699,definition,
( spl0_3
<=> x3 = x13 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f700,plain,
( x3 != x13
| spl0_3 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f701,plain,
( x3 = x13
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f703,definition,
( spl0_4
<=> x3 = x9 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f704,plain,
( x3 != x9
| spl0_4 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f705,plain,
( x3 = x9
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f706,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f697,f672,f703,f699]) ).
fof(f707,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x12),emp))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f690,f701]) ).
fof(f708,plain,
( x14 != x3
| ~ spl0_3 ),
inference(superposition,[],[f22,f701]) ).
fof(f715,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x12),emp)))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f707,f2]) ).
fof(f737,plain,
( x3 = x9
| x3 = x12
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f715,f124]) ).
fof(f739,definition,
( spl0_5
<=> x3 = x12 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f741,plain,
( x3 = x12
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f742,plain,
( spl0_5
| spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f737,f699,f672,f703,f739]) ).
fof(f743,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x9),sep(lseg(x9,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f715,f705]) ).
fof(f744,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x9),sep(lseg(x9,x13),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f690,f705]) ).
fof(f751,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x13),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp)))))))))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f744,f2]) ).
fof(f752,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x12),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f743,f2]) ).
fof(f795,plain,
( x14 = x9
| x9 = x12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f752,f105]) ).
fof(f796,plain,
( x9 = x2
| x12 = x2
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f752,f189]) ).
fof(f798,definition,
( spl0_6
<=> x12 = x2 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f800,plain,
( x12 = x2
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f802,definition,
( spl0_7
<=> x9 = x2 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f804,plain,
( x9 = x2
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f805,plain,
( spl0_6
| spl0_7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f796,f703,f699,f672,f802,f798]) ).
fof(f806,plain,
( x9 = x12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f795,f20]) ).
fof(f807,plain,
( x9 = x2
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f800,f806]) ).
fof(f808,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f807,f798,f703,f699,f672,f802]) ).
fof(f814,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x9),sep(lseg(x9,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x9),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f752,f806]) ).
fof(f815,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x9,x9),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x9),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f814,f102]) ).
fof(f821,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x5,x10),sep(lseg(x2,x9),sep(lseg(x2,x9),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f815,f2]) ).
fof(f827,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x5,x10),sep(lseg(x9,x9),sep(lseg(x9,x9),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f821,f804]) ).
fof(f833,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x9,x9),sep(lseg(x5,x10),sep(lseg(x9,x9),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f827,f102]) ).
fof(f839,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x9,x9),sep(lseg(x9,x9),sep(lseg(x5,x10),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f833,f59]) ).
fof(f845,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x9,x9),sep(lseg(x5,x10),emp))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f839,f2]) ).
fof(f851,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x9,x8),sep(lseg(x5,x10),emp)))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f845,f2]) ).
fof(f1032,plain,
( x14 = x9
| x8 = x9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f851,f105]) ).
fof(f1033,plain,
( x8 = x9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1032,f20]) ).
fof(f1034,plain,
( x14 != x8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f20,f1033]) ).
fof(f1041,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x8,x14),sep(lseg(x8,x8),sep(lseg(x5,x10),emp)))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f851,f1033]) ).
fof(f1042,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x8,x14),sep(lseg(x5,x10),emp))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1041,f2]) ).
fof(f1173,plain,
( x14 = x8
| x14 = x8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f1042,f8]) ).
fof(f1174,plain,
( x14 = x8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f1173]) ).
fof(f1175,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1174,f1034]) ).
fof(f1176,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1177,plain,
( x9 != x13
| spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f700,f705]) ).
fof(f1256,plain,
( x14 = x9
| x9 = x13
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f751,f105]) ).
fof(f1257,plain,
( x9 = x13
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1256,f20]) ).
fof(f1258,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1257,f1177]) ).
fof(f1259,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1260,plain,
( x3 != x13
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f673,f670]) ).
fof(f1283,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x13,x3),sep(lseg(x13,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x13),emp)))))))))))
| ~ spl0_1 ),
inference(superposition,[],[f139,f670]) ).
fof(f1288,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x3),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x13,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x13),emp)))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1283,f59]) ).
fof(f1291,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x3),sep(lseg(x13,x13),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x13),emp)))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1288,f59]) ).
fof(f1294,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x3),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x13),emp))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1291,f2]) ).
fof(f1297,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x3),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x12),emp))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1294,f102]) ).
fof(f1701,plain,
( x3 = x13
| x13 = x12
| ~ spl0_1 ),
inference(resolution,[],[f1297,f148]) ).
fof(f1702,plain,
( x13 = x12
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1701,f700]) ).
fof(f1706,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x3),sep(lseg(x13,x13),sep(lseg(x13,x8),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp))))))))))
| ~ spl0_1
| spl0_3 ),
inference(superposition,[],[f1297,f1702]) ).
fof(f1707,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x8),sep(lseg(x13,x3),sep(lseg(x13,x13),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp))))))))))
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f1706,f59]) ).
fof(f1711,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x8),sep(lseg(x13,x3),sep(lseg(x5,x10),sep(lseg(x2,x13),sep(lseg(x2,x13),emp)))))))))
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f1707,f2]) ).
fof(f1727,plain,
( x8 = x13
| x3 = x13
| ~ spl0_1
| spl0_3 ),
inference(resolution,[],[f1711,f148]) ).
fof(f1728,plain,
( x8 = x13
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1727,f700]) ).
fof(f1729,plain,
( x14 != x8
| ~ spl0_1
| spl0_3 ),
inference(superposition,[],[f22,f1728]) ).
fof(f1734,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x8,x8),sep(lseg(x8,x3),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x8),emp)))))))))
| ~ spl0_1
| spl0_3 ),
inference(superposition,[],[f1711,f1728]) ).
fof(f1735,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x8,x8),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x8,x3),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x8),emp)))))))))
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f1734,f59]) ).
fof(f1740,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x8,x3),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x8),emp))))))))
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f1735,f2]) ).
fof(f1745,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x8,x3),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x8),sep(lseg(x2,x8),emp))))))))
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f1740,f59]) ).
fof(f1797,plain,
( x8 != x3
| ~ spl0_1
| spl0_3 ),
inference(superposition,[],[f700,f1728]) ).
fof(f1798,plain,
( x14 = x8
| x8 = x3
| ~ spl0_1
| spl0_3 ),
inference(resolution,[],[f1745,f8]) ).
fof(f1803,plain,
( x8 = x3
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1798,f1729]) ).
fof(f1805,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1803,f1797]) ).
fof(f1806,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f1805]) ).
fof(f1812,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1260,f701]) ).
fof(f1813,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1812]) ).
fof(f1816,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x3,x3),sep(lseg(x3,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp)))))))))))
| ~ spl0_2 ),
inference(superposition,[],[f139,f674]) ).
fof(f1821,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x3,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp)))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1816,f59]) ).
fof(f1824,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x3,x13),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1821,f2]) ).
fof(f1827,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x13),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x12),sep(lseg(x2,x3),emp))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1824,f59]) ).
fof(f1830,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x13),sep(lseg(x13,x12),sep(lseg(x12,x8),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x12),emp))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1827,f102]) ).
fof(f1833,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x9),sep(lseg(x3,x13),sep(lseg(x13,x3),sep(lseg(x3,x8),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x3),emp))))))))))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1830,f741]) ).
fof(f1836,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x3,x13),sep(lseg(x13,x3),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x3),emp))))))))))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1833,f104]) ).
fof(f1839,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x3,x3),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x3),emp))))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1836,f701]) ).
fof(f1842,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x3),emp)))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1839,f2]) ).
fof(f1845,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x2,x3),sep(lseg(x2,x3),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1842,f2]) ).
fof(f1933,plain,
( x8 = x3
| x3 = x9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f1845,f124]) ).
fof(f1934,plain,
( x3 = x2
| x3 = x2
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f1845,f189]) ).
fof(f1935,plain,
( x3 = x2
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f1934]) ).
fof(f1936,plain,
( x8 = x3
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1933,f704]) ).
fof(f1941,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),sep(lseg(x3,x3),sep(lseg(x3,x3),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1845,f1935]) ).
fof(f1942,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x5,x10),sep(lseg(x3,x3),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1941,f102]) ).
fof(f1947,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x3,x3),sep(lseg(x5,x10),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1942,f59]) ).
fof(f1952,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x3,x3),sep(lseg(x5,x10),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1947,f2]) ).
fof(f1957,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x3,x8),sep(lseg(x3,x9),sep(lseg(x5,x10),emp))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1952,f2]) ).
fof(f1962,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x9,x14),sep(lseg(x8,x8),sep(lseg(x8,x9),sep(lseg(x5,x10),emp))))))
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1957,f1936]) ).
fof(f1967,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x8,x8),sep(lseg(x9,x14),sep(lseg(x8,x9),sep(lseg(x5,x10),emp))))))
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1962,f102]) ).
fof(f1972,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x8,x8),sep(lseg(x8,x9),sep(lseg(x9,x14),sep(lseg(x5,x10),emp))))))
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1967,f102]) ).
fof(f1977,plain,
( heap(sep(lseg(x8,x14),sep(lseg(x8,x9),sep(lseg(x9,x14),sep(lseg(x5,x10),emp)))))
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1972,f2]) ).
fof(f2081,plain,
( x14 = x8
| x8 = x9
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f1977,f8]) ).
fof(f2083,definition,
( spl0_10
<=> x8 = x9 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f2085,plain,
( x8 = x9
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f2083]) ).
fof(f2087,definition,
( spl0_11
<=> x14 = x8 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f2089,plain,
( x14 = x8
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2090,plain,
( spl0_10
| spl0_11
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f2081,f739,f703,f699,f672,f2087,f2083]) ).
fof(f2231,plain,
( x8 != x9
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f704,f1936]) ).
fof(f2372,plain,
( x14 != x8
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f708,f1936]) ).
fof(f2373,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2372,f2089]) ).
fof(f2374,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2373]) ).
fof(f2375,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2231,f2085]) ).
fof(f2376,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2375]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f675]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f706]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f742]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f805]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f808]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f1176]) ).
cnf(s9,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1259]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f1806]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s13,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f2090]) ).
cnf(s15,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f2374]) ).
cnf(s16,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f2376]) ).
cnf(s17,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2,s9]) ).
cnf(s18,plain,
( ~ spl0_5
| spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s13,s15,s16]) ).
cnf(s19,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s18,s3]) ).
cnf(s20,plain,
( spl0_7
| ~ spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s4,s5]) ).
cnf(s21,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s20,s6]) ).
cnf(s22,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s21,s19]) ).
cnf(s23,plain,
~ spl0_2,
inference(rat,[],[s22,s17]) ).
cnf(s24,plain,
spl0_1,
inference(rat,[],[s1,s23]) ).
cnf(s25,plain,
spl0_3,
inference(rat,[],[s11,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s12,s23,s25,s24]) ).
fof(f2427,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW434-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n016.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 13:59:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.27/1.89 % (3638309)Input is clausal, will run a generic CNF schedule.
% 7.27/1.89 % (3638317)lrs+10_1_sil=8000:sp=occurrence:random_seed=1506634322:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.27/1.89 % (3638317)Instruction limit reached!
% 7.27/1.89 % (3638317)------------------------------
% 7.27/1.89 % (3638317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638317)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638317)Termination reason: Instruction limit
% 7.27/1.89 % (3638317)Termination phase: Saturation
% 7.27/1.89 % (3638317)Time elapsed: 0.031 s
% 7.27/1.89 % (3638317)Peak memory usage: 88 MB
% 7.27/1.89 % (3638317)Instructions burned: 109 (million)
% 7.27/1.89 % (3638316)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=955638214:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.27/1.89 % (3638315)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2634893909:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.27/1.89 % (3638318)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3279819075:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.27/1.89 % (3638314)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=1718742329:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.27/1.89 % (3638320)dis-21_1_sil=8000:lcm=predicate:random_seed=1101796346: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)
% 7.27/1.89 % (3638319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=252398646:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.27/1.89 % (3638320)Refutation not found, incomplete strategy
% 7.27/1.89 % (3638320)------------------------------
% 7.27/1.89 % (3638320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638320)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638320)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.89 % (3638320)Time elapsed: 0.004 s
% 7.27/1.89 % (3638320)Peak memory usage: 88 MB
% 7.27/1.89 % (3638320)Instructions burned: 5 (million)
% 7.27/1.89 % (3638318)Instruction limit reached!
% 7.27/1.89 % (3638318)------------------------------
% 7.27/1.89 % (3638318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638318)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638318)Termination reason: Instruction limit
% 7.27/1.89 % (3638318)Termination phase: Saturation
% 7.27/1.89 % (3638318)Time elapsed: 0.066 s
% 7.27/1.89 % (3638318)Peak memory usage: 88 MB
% 7.27/1.89 % (3638318)Instructions burned: 114 (million)
% 7.27/1.89 % (3638324)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=4038447298:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.27/1.89 % (3638324)Refutation not found, incomplete strategy
% 7.27/1.89 % (3638324)------------------------------
% 7.27/1.89 % (3638324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638324)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638324)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.89 % (3638324)Time elapsed: 0.001 s
% 7.27/1.89 % (3638324)Peak memory usage: 88 MB
% 7.27/1.89 % (3638324)Instructions burned: 3 (million)
% 7.27/1.89 % (3638319)Instruction limit reached!
% 7.27/1.89 % (3638319)------------------------------
% 7.27/1.89 % (3638319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638319)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638319)Termination reason: Instruction limit
% 7.27/1.89 % (3638319)Termination phase: Saturation
% 7.27/1.89 % (3638319)Time elapsed: 0.101 s
% 7.27/1.89 % (3638319)Peak memory usage: 88 MB
% 7.27/1.89 % (3638319)Instructions burned: 180 (million)
% 7.27/1.89 % (3638329)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3225083493: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)
% 7.27/1.89 % (3638324)------------------------------
% 7.27/1.89 % (3638324)------------------------------
% 7.27/1.89 % (3638331)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1804722483:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.27/1.89 % (3638320)------------------------------
% 7.27/1.89 % (3638320)------------------------------
% 7.27/1.89 % (3638331)Refutation not found, incomplete strategy
% 7.27/1.89 % (3638331)------------------------------
% 7.27/1.89 % (3638331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638331)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638331)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.89 % (3638331)Time elapsed: 0.002 s
% 7.27/1.89 % (3638331)Peak memory usage: 88 MB
% 7.27/1.89 % (3638331)Instructions burned: 3 (million)
% 7.27/1.89 % (3638333)lrs+10_64_to=lpo:sil=8000:random_seed=2947448564:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.27/1.89 % (3638329)Instruction limit reached!
% 7.27/1.89 % (3638329)------------------------------
% 7.27/1.89 % (3638329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638329)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638329)Termination reason: Instruction limit
% 7.27/1.89 % (3638329)Termination phase: Saturation
% 7.27/1.89 % (3638329)Time elapsed: 0.119 s
% 7.27/1.89 % (3638329)Peak memory usage: 90 MB
% 7.27/1.89 % (3638329)Instructions burned: 189 (million)
% 7.27/1.89 % (3638333)Instruction limit reached!
% 7.27/1.89 % (3638333)------------------------------
% 7.27/1.89 % (3638333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638333)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638333)Termination reason: Instruction limit
% 7.27/1.89 % (3638333)Termination phase: Saturation
% 7.27/1.89 % (3638333)Time elapsed: 0.039 s
% 7.27/1.89 % (3638333)Peak memory usage: 88 MB
% 7.27/1.89 % (3638333)Instructions burned: 128 (million)
% 7.27/1.89 % (3638335)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1571452719:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.27/1.89 % (3638338)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=335168779:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.27/1.89 % (3638337)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1509794389:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.27/1.89 % (3638331)------------------------------
% 7.27/1.89 % (3638331)------------------------------
% 7.27/1.89 % (3638335)Instruction limit reached!
% 7.27/1.89 % (3638335)------------------------------
% 7.27/1.89 % (3638335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638335)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638335)Termination reason: Instruction limit
% 7.27/1.89 % (3638335)Termination phase: Saturation
% 7.27/1.89 % (3638335)Time elapsed: 0.117 s
% 7.27/1.89 % (3638335)Peak memory usage: 89 MB
% 7.27/1.89 % (3638335)Instructions burned: 196 (million)
% 7.27/1.89 % (3638337)Instruction limit reached!
% 7.27/1.89 % (3638337)------------------------------
% 7.27/1.89 % (3638337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638337)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638337)Termination reason: Instruction limit
% 7.27/1.89 % (3638337)Termination phase: Saturation
% 7.27/1.89 % (3638337)Time elapsed: 0.101 s
% 7.27/1.89 % (3638337)Peak memory usage: 91 MB
% 7.27/1.89 % (3638337)Instructions burned: 158 (million)
% 7.27/1.89 % (3638343)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=85695823:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.27/1.89 % (3638342)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=2553836246:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.27/1.89 % (3638343)Refutation not found, incomplete strategy
% 7.27/1.89 % (3638343)------------------------------
% 7.27/1.89 % (3638343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638343)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638343)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.89 % (3638343)Time elapsed: 0.002 s
% 7.27/1.89 % (3638343)Peak memory usage: 87 MB
% 7.27/1.89 % (3638343)Instructions burned: 3 (million)
% 7.27/1.89 % (3638344)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3146836076:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.27/1.89 % (3638342)Instruction limit reached!
% 7.27/1.89 % (3638342)------------------------------
% 7.27/1.89 % (3638342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638342)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638342)Termination reason: Instruction limit
% 7.27/1.89 % (3638342)Termination phase: Saturation
% 7.27/1.89 % (3638342)Time elapsed: 0.063 s
% 7.27/1.89 % (3638342)Peak memory usage: 88 MB
% 7.27/1.89 % (3638342)Instructions burned: 108 (million)
% 7.27/1.89 % (3638344)Instruction limit reached!
% 7.27/1.89 % (3638344)------------------------------
% 7.27/1.89 % (3638344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638344)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638344)Termination reason: Instruction limit
% 7.27/1.89 % (3638344)Termination phase: Saturation
% 7.27/1.89 % (3638344)Time elapsed: 0.134 s
% 7.27/1.89 % (3638344)Peak memory usage: 89 MB
% 7.27/1.89 % (3638344)Instructions burned: 242 (million)
% 7.27/1.89 % (3638348)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=21040485:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.27/1.89 % (3638343)------------------------------
% 7.27/1.89 % (3638343)------------------------------
% 7.27/1.89 % (3638338)First to succeed.
% 7.27/1.89 % (3638338)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3638309"
% 7.27/1.89 % (3638349)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1767764167:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.27/1.89 % (3638351)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2593165838:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 7.27/1.89 % (3638349)Instruction limit reached!
% 7.27/1.89 % (3638349)------------------------------
% 7.27/1.89 % (3638349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.89 % (3638349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.89 % (3638349)CaDiCaL version: 2.1.3
% 7.27/1.89 % (3638349)Termination reason: Instruction limit
% 7.27/1.89 % (3638349)Termination phase: Saturation
% 7.27/1.89 % (3638349)Time elapsed: 0.078 s
% 7.27/1.89 % (3638349)Peak memory usage: 89 MB
% 7.27/1.89 % (3638349)Instructions burned: 135 (million)
% 7.27/1.89 % (3638316)Also succeeded, but the first one will report.
% 7.27/1.89 % (3638338)Refutation found. Thanks to Tanya!
% 7.27/1.89 % SZS status Unsatisfiable for theBenchmark
% 7.27/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 9.39/2.09 % (3638338)------------------------------
% 9.39/2.09 % (3638338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.09 % (3638338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.09 % (3638338)CaDiCaL version: 2.1.3
% 9.39/2.09 % (3638338)Termination reason: Refutation
% 9.39/2.09 % (3638338)Time elapsed: 0.498 s
% 9.39/2.09 % (3638338)Peak memory usage: 131 MB
% 9.39/2.09 % (3638338)Instructions burned: 1315 (million)
% 9.39/2.09 % (3638338)------------------------------
% 9.39/2.09 % (3638338)------------------------------
% 9.39/2.09 % (3638309)Success in time 1.245 s
% 9.39/2.09 % Vampire exiting
%------------------------------------------------------------------------------