TSTP Solution File: SWW430-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW430-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 11:38:13 EDT 2024
% Result : Unsatisfiable 81.12s 12.08s
% Output : Refutation 81.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 5
% Syntax : Number of formulae : 79 ( 69 unt; 0 def)
% Number of atoms : 94 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 6 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 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 : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44711,plain,
$false,
inference(subsumption_resolution,[],[f44710,f12]) ).
fof(f12,axiom,
x3 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f44710,plain,
x3 = x11,
inference(forward_demodulation,[],[f44709,f40873]) ).
fof(f40873,plain,
x3 = x8,
inference(subsumption_resolution,[],[f40815,f12]) ).
fof(f40815,plain,
( x3 = x11
| x3 = x8 ),
inference(resolution,[],[f40786,f237]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(lseg(X0,X5),sep(X2,sep(X3,sep(lseg(X0,X1),X4)))))
| X0 = X5
| X0 = X1 ),
inference(superposition,[],[f7,f21]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
inference(superposition,[],[f1,f1]) ).
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(f7,axiom,
! [X2,X3,X4,X5] :
( ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2)))
| X3 = X4
| X3 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f40786,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))),
inference(forward_demodulation,[],[f40785,f169]) ).
fof(f169,plain,
! [X2,X3,X0,X1] : sep(X1,sep(X2,sep(X0,X3))) = sep(X1,sep(X0,sep(X2,X3))),
inference(superposition,[],[f21,f1]) ).
fof(f40785,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))),
inference(forward_demodulation,[],[f40784,f175]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4,X5] : sep(X4,sep(X5,sep(X1,sep(X2,sep(X0,X3))))) = sep(X0,sep(X4,sep(X5,sep(X1,sep(X2,X3))))),
inference(superposition,[],[f21,f21]) ).
fof(f40784,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x3,x2),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))),
inference(forward_demodulation,[],[f40783,f161]) ).
fof(f161,plain,
! [X2,X3,X0,X1,X4,X5] : sep(X5,sep(X0,sep(X4,sep(X1,sep(X2,X3))))) = sep(X4,sep(X5,sep(X1,sep(X2,sep(X0,X3))))),
inference(superposition,[],[f21,f21]) ).
fof(f40783,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp)))))))))))))))),
inference(forward_demodulation,[],[f40782,f175]) ).
fof(f40782,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp)))))))))))))))),
inference(forward_demodulation,[],[f40781,f2]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normalization) ).
fof(f40781,plain,
heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f40780,f1]) ).
fof(f40780,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1090,f1192]) ).
fof(f1192,plain,
x3 = x6,
inference(subsumption_resolution,[],[f1161,f12]) ).
fof(f1161,plain,
( x3 = x11
| x3 = x6 ),
inference(resolution,[],[f93,f1009]) ).
fof(f1009,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(forward_demodulation,[],[f1008,f169]) ).
fof(f1008,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x9,x10),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f1007,f169]) ).
fof(f1007,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x9,x10),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(forward_demodulation,[],[f1006,f169]) ).
fof(f1006,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f1005,f21]) ).
fof(f1005,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x11,x6),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f1004,f21]) ).
fof(f1004,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x11,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f1003,f21]) ).
fof(f1003,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x11,x6),sep(lseg(x5,x4),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,[],[f1002,f21]) ).
fof(f1002,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f1001,f21]) ).
fof(f1001,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f1000,f169]) ).
fof(f1000,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f999,f21]) ).
fof(f999,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x11,x8),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f998,f21]) ).
fof(f998,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x11,x8),sep(lseg(x5,x4),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,[],[f997,f21]) ).
fof(f997,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f996,f21]) ).
fof(f996,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f995,f169]) ).
fof(f995,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f994,f169]) ).
fof(f994,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f993,f169]) ).
fof(f993,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x3,x6),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f992,f21]) ).
fof(f992,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f991,f21]) ).
fof(f991,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x6),sep(lseg(x5,x4),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,[],[f990,f21]) ).
fof(f990,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f989,f169]) ).
fof(f989,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f988,f21]) ).
fof(f988,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f987,f21]) ).
fof(f987,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x1),sep(lseg(x5,x4),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,[],[f986,f21]) ).
fof(f986,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f985,f1]) ).
fof(f985,plain,
heap(sep(lseg(x12,x1),sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f984,f21]) ).
fof(f984,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x11),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f983,f21]) ).
fof(f983,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x11),sep(lseg(x5,x4),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,[],[f982,f21]) ).
fof(f982,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f981,f169]) ).
fof(f981,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f980,f21]) ).
fof(f980,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f979,f169]) ).
fof(f979,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x12,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f978,f21]) ).
fof(f978,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f977,f1]) ).
fof(f977,plain,
heap(sep(lseg(x5,x7),sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),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,[],[f976,f21]) ).
fof(f976,plain,
heap(sep(lseg(x5,x7),sep(lseg(x5,x2),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)))))))))))))))))),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f17,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(f93,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X0,X4),sep(X2,sep(lseg(X0,X1),X3))))
| X0 = X4
| X0 = X1 ),
inference(superposition,[],[f7,f1]) ).
fof(f1090,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1089,f21]) ).
fof(f1089,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x3,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1088,f21]) ).
fof(f1088,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x3,x8),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1087,f21]) ).
fof(f1087,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1086,f21]) ).
fof(f1086,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1085,f21]) ).
fof(f1085,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1084,f21]) ).
fof(f1084,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x3,x9),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1083,f21]) ).
fof(f1083,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x3,x9),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1082,f21]) ).
fof(f1082,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x9),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1081,f21]) ).
fof(f1081,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x9),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1080,f21]) ).
fof(f1080,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(forward_demodulation,[],[f1079,f2]) ).
fof(f1079,plain,
heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(forward_demodulation,[],[f1078,f1]) ).
fof(f1078,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(superposition,[],[f1009,f1077]) ).
fof(f1077,plain,
x3 = x1,
inference(subsumption_resolution,[],[f1076,f12]) ).
fof(f1076,plain,
( x3 = x11
| x3 = x1 ),
inference(resolution,[],[f1009,f7]) ).
fof(f44709,plain,
x11 = x8,
inference(subsumption_resolution,[],[f44708,f12]) ).
fof(f44708,plain,
( x3 = x11
| x11 = x8 ),
inference(forward_demodulation,[],[f44477,f1192]) ).
fof(f44477,plain,
( x11 = x6
| x11 = x8 ),
inference(resolution,[],[f3359,f1009]) ).
fof(f3359,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ heap(sep(X6,sep(X3,sep(X4,sep(lseg(X0,X1),sep(lseg(X0,X2),X5))))))
| X0 = X1
| X0 = X2 ),
inference(superposition,[],[f270,f165]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X4] : sep(X0,sep(X1,sep(X4,sep(X2,X3)))) = sep(X4,sep(X2,sep(X0,sep(X1,X3)))),
inference(superposition,[],[f21,f21]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(X3,sep(lseg(X0,X1),sep(lseg(X0,X2),X4))))
| X0 = X1
| X0 = X2 ),
inference(superposition,[],[f7,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW430-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:28:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (11726)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (11729)WARNING: value z3 for option sas not known
% 0.14/0.38 % (11733)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (11730)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (11728)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (11727)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (11729)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (11731)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (11732)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.40 TRYING [1]
% 0.20/0.40 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [3]
% 0.20/0.44 TRYING [4]
% 0.20/0.45 TRYING [4]
% 2.44/0.75 TRYING [4]
% 17.90/2.92 TRYING [5]
% 19.13/3.15 TRYING [5]
% 81.12/12.06 % (11729)First to succeed.
% 81.12/12.07 % (11729)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11726"
% 81.12/12.08 % (11729)Refutation found. Thanks to Tanya!
% 81.12/12.08 % SZS status Unsatisfiable for theBenchmark
% 81.12/12.08 % SZS output start Proof for theBenchmark
% See solution above
% 81.81/12.08 % (11729)------------------------------
% 81.81/12.08 % (11729)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 81.81/12.08 % (11729)Termination reason: Refutation
% 81.81/12.08
% 81.81/12.08 % (11729)Memory used [KB]: 101572
% 81.81/12.08 % (11729)Time elapsed: 11.701 s
% 81.81/12.08 % (11729)Instructions burned: 28757 (million)
% 81.81/12.08 % (11726)Success in time 11.706 s
%------------------------------------------------------------------------------