TSTP Solution File: SYO634-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 12:30:54 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 12 unt; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 547 ( 279 ~; 268 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Maximal term depth : 14 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 326 ( 326 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(resolution,[],[f83,f43]) ).
fof(f43,plain,
! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))),
inference(subsumption_resolution,[],[f42,f3]) ).
fof(f3,axiom,
! [X11] : 'E'(f(X11),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_03) ).
fof(f42,plain,
! [X10,X1] :
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f41,f9]) ).
fof(f9,axiom,
! [X1] : 'E'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17_09) ).
fof(f41,plain,
! [X10,X0,X1] :
( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f40,f25]) ).
fof(f25,plain,
! [X1] : 'E'(f(X1),s(s(s(s(s(s(s(s('0'))))))))),
inference(subsumption_resolution,[],[f24,f3]) ).
fof(f24,plain,
! [X1] :
( 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f1,f9]) ).
fof(f1,axiom,
! [X0,X1] :
( 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21_01) ).
fof(f40,plain,
! [X2,X10,X0,X1] :
( ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f39,f28]) ).
fof(f28,plain,
! [X1] : 'E'(f(X1),s(s(s(s(s(s(s('0')))))))),
inference(subsumption_resolution,[],[f27,f3]) ).
fof(f27,plain,
! [X1] :
( 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f26,f9]) ).
fof(f26,plain,
! [X0,X1] :
( 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f14,f25]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_14) ).
fof(f39,plain,
! [X2,X10,X0,X1,X7] :
( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f38,f32]) ).
fof(f32,plain,
! [X1] : 'E'(f(X1),s(s(s(s(s(s('0'))))))),
inference(subsumption_resolution,[],[f31,f3]) ).
fof(f31,plain,
! [X1] :
( 'E'(f(X1),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f30,f9]) ).
fof(f30,plain,
! [X0,X1] :
( 'E'(f(X1),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f29,f25]) ).
fof(f29,plain,
! [X2,X0,X1] :
( 'E'(f(X1),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f6,f28]) ).
fof(f6,axiom,
! [X2,X0,X1,X7] :
( 'E'(f(X1),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_06) ).
fof(f38,plain,
! [X2,X10,X0,X1,X9,X7] :
( ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f12,f37]) ).
fof(f37,plain,
! [X1] : 'E'(f(X1),s(s(s(s(s('0')))))),
inference(subsumption_resolution,[],[f36,f3]) ).
fof(f36,plain,
! [X1] :
( 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f35,f9]) ).
fof(f35,plain,
! [X0,X1] :
( 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f34,f25]) ).
fof(f34,plain,
! [X2,X0,X1] :
( 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f33,f28]) ).
fof(f33,plain,
! [X2,X0,X1,X7] :
( 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f20,f32]) ).
fof(f20,axiom,
! [X2,X0,X1,X9,X7] :
( 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15_20) ).
fof(f12,axiom,
! [X2,X3,X10,X0,X1,X9,X7] :
( ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9_12) ).
fof(f83,plain,
! [X0] : ~ 'E'(f(X0),s(s(s(s('0'))))),
inference(resolution,[],[f82,f50]) ).
fof(f50,plain,
! [X0] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X0)),s(s(s('0')))),
inference(resolution,[],[f49,f43]) ).
fof(f49,plain,
! [X10,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f48,f3]) ).
fof(f48,plain,
! [X10,X1,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f47,f9]) ).
fof(f47,plain,
! [X10,X0,X1,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f46,f25]) ).
fof(f46,plain,
! [X2,X10,X0,X1,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f45,f28]) ).
fof(f45,plain,
! [X2,X10,X0,X1,X7,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f44,f32]) ).
fof(f44,plain,
! [X2,X10,X0,X1,X9,X7,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f15,f37]) ).
fof(f15,axiom,
! [X2,X3,X10,X0,X1,X9,X7,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18_15) ).
fof(f82,plain,
! [X0,X1] :
( ~ 'E'(f(X0),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f81,f64]) ).
fof(f64,plain,
! [X0] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X0)),s(s('0'))),
inference(resolution,[],[f63,f43]) ).
fof(f63,plain,
! [X0,X1] :
( ~ 'E'(f(X0),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X1)),s(s('0'))) ),
inference(resolution,[],[f62,f50]) ).
fof(f62,plain,
! [X10,X8,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
inference(subsumption_resolution,[],[f61,f3]) ).
fof(f61,plain,
! [X10,X1,X8,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
inference(subsumption_resolution,[],[f60,f9]) ).
fof(f60,plain,
! [X10,X0,X1,X8,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
inference(subsumption_resolution,[],[f59,f25]) ).
fof(f59,plain,
! [X2,X10,X0,X1,X8,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
inference(subsumption_resolution,[],[f58,f28]) ).
fof(f58,plain,
! [X2,X10,X0,X1,X8,X7,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
inference(subsumption_resolution,[],[f57,f32]) ).
fof(f57,plain,
! [X2,X10,X0,X1,X8,X9,X7,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
inference(subsumption_resolution,[],[f19,f37]) ).
fof(f19,axiom,
! [X2,X3,X10,X0,X1,X8,X9,X7,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_19) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ 'E'(f(X0),s(s('0')))
| ~ 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0'))))) ),
inference(resolution,[],[f80,f73]) ).
fof(f73,plain,
! [X0] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X0)),s('0')),
inference(resolution,[],[f72,f43]) ).
fof(f72,plain,
! [X0,X1] :
( ~ 'E'(f(X0),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X1)),s('0')) ),
inference(resolution,[],[f71,f50]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ 'E'(f(X0),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X2)),s('0')) ),
inference(resolution,[],[f70,f64]) ).
fof(f70,plain,
! [X10,X8,X6,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
inference(subsumption_resolution,[],[f69,f3]) ).
fof(f69,plain,
! [X10,X1,X8,X6,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
inference(subsumption_resolution,[],[f68,f9]) ).
fof(f68,plain,
! [X10,X0,X1,X8,X6,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
inference(subsumption_resolution,[],[f67,f25]) ).
fof(f67,plain,
! [X2,X10,X0,X1,X8,X6,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
inference(subsumption_resolution,[],[f66,f28]) ).
fof(f66,plain,
! [X2,X10,X0,X1,X8,X6,X7,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
inference(subsumption_resolution,[],[f65,f32]) ).
fof(f65,plain,
! [X2,X10,X0,X1,X8,X6,X9,X7,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
inference(subsumption_resolution,[],[f11,f37]) ).
fof(f11,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_11) ).
fof(f80,plain,
! [X8,X6,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f79,f56]) ).
fof(f56,plain,
! [X8,X6,X4,X5,X12] :
( ~ 'E'(f(X12),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f55,f3]) ).
fof(f55,plain,
! [X1,X8,X6,X4,X5,X12] :
( ~ 'E'(f(X12),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f54,f9]) ).
fof(f54,plain,
! [X0,X1,X8,X6,X4,X5,X12] :
( ~ 'E'(f(X12),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f53,f25]) ).
fof(f53,plain,
! [X2,X0,X1,X8,X6,X4,X5,X12] :
( ~ 'E'(f(X12),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f52,f28]) ).
fof(f52,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5,X12] :
( ~ 'E'(f(X12),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f51,f32]) ).
fof(f51,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ 'E'(f(X12),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
inference(subsumption_resolution,[],[f17,f37]) ).
fof(f17,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ 'E'(f(X12),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3_17) ).
fof(f79,plain,
! [X10,X8,X6,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
inference(subsumption_resolution,[],[f78,f3]) ).
fof(f78,plain,
! [X10,X1,X8,X6,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
inference(subsumption_resolution,[],[f77,f9]) ).
fof(f77,plain,
! [X10,X0,X1,X8,X6,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
inference(subsumption_resolution,[],[f76,f25]) ).
fof(f76,plain,
! [X2,X10,X0,X1,X8,X6,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
inference(subsumption_resolution,[],[f75,f28]) ).
fof(f75,plain,
! [X2,X10,X0,X1,X8,X6,X7,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
inference(subsumption_resolution,[],[f74,f32]) ).
fof(f74,plain,
! [X2,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
inference(subsumption_resolution,[],[f22,f37]) ).
fof(f22,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n009.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 16:04:23 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (23806)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (23813)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.34 % (23808)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 % (23810)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.34 % (23807)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.34 % (23811)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.34 % (23812)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.34 % (23809)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.34 % (23811)First to succeed.
% 0.16/0.34 % (23812)Also succeeded, but the first one will report.
% 0.16/0.34 % (23811)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23806"
% 0.16/0.34 % (23811)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (23811)------------------------------
% 0.16/0.34 % (23811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (23811)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (23811)Memory used [KB]: 760
% 0.16/0.34 % (23811)Time elapsed: 0.005 s
% 0.16/0.34 % (23811)Instructions burned: 11 (million)
% 0.16/0.34 % (23806)Success in time 0.023 s
%------------------------------------------------------------------------------