%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO675-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:28:36 PM UTC 2026
% Result : Unsatisfiable 1.62s 1.03s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 30
% Syntax : Number of formulae : 78 ( 11 unt; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 290 ( 137 ~; 153 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(suc(suc(X0)))))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'('0',f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f2,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X0))))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
fof(f3,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(suc(X0)))),s('0'))
| 'E'('0',f(suc(suc(suc(X0)))))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f4,axiom,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| 'E'(f(X0),f(suc(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
fof(f5,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(suc(X0)))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(suc(X0)))))
| 'LE'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f6,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s('0'))
| 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f7,axiom,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f8,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
fof(f9,axiom,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f10,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s('0')))
| 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f11,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'LE'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f12,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X0)))
| 'LE'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f13,axiom,
! [X0] :
( ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| 'E'(f(X0),f(suc(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f14,axiom,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f15,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s('0'))
| 'E'('0',f(suc(suc(X0))))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_37) ).
fof(f16,axiom,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f17,axiom,
! [X0] :
( ~ 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X0)))))
| ~ 'E'(f(X0),f(suc(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f18,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f19,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'LE'(f(X0),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f20,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X0))
| 'LE'(f(X0),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_36) ).
fof(f21,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(suc(X0)))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(X0)))))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f22,axiom,
! [X0] :
( ~ 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(suc(suc(X0)))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f23,axiom,
! [X0] :
( ~ 'LE'(f(X0),s('0'))
| 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f24,axiom,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f25,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
fof(f26,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f27,axiom,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| 'E'(f(X0),f(suc(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f28,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(suc(X0)))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| 'LE'(f(X0),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f29,axiom,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| 'E'(f(X0),f(suc(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
fof(f30,axiom,
! [X0] : 'LE'(f(X0),s(s(s(s('0'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
fof(f31,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(X0))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(forward_subsumption_resolution,[],[f20,f30]) ).
fof(f32,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(forward_subsumption_resolution,[],[f25,f30]) ).
fof(f33,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(forward_subsumption_resolution,[],[f19,f30]) ).
fof(f34,plain,
! [X0] :
( 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f27,f9]) ).
fof(f35,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(forward_subsumption_resolution,[],[f28,f30]) ).
fof(f36,plain,
! [X0] :
( 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f29,f16]) ).
fof(f37,plain,
! [X0] :
( 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f13,f7]) ).
fof(f38,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(suc(X0)))))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'('0',f(X0)) ),
inference(forward_subsumption_resolution,[],[f1,f9]) ).
fof(f39,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(suc(X0)))))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(forward_subsumption_resolution,[],[f38,f34]) ).
fof(f40,plain,
! [X0] :
( 'E'(f(X0),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f4,f14]) ).
fof(f41,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(suc(X0)))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f22,f36]) ).
fof(f42,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(suc(X0)))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f41,f16]) ).
fof(f43,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X0)))))
| ~ 'E'(f(X0),f(suc(X0))) ),
inference(forward_subsumption_resolution,[],[f17,f37]) ).
fof(f44,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(suc(suc(suc(X0)))))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0))) ),
inference(forward_subsumption_resolution,[],[f43,f7]) ).
fof(f45,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(forward_subsumption_resolution,[],[f24,f40]) ).
fof(f46,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(forward_subsumption_resolution,[],[f45,f14]) ).
fof(f47,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(resolution,[],[f46,f35]) ).
fof(f53,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(forward_subsumption_resolution,[],[f47,f31]) ).
fof(f55,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(forward_subsumption_resolution,[],[f53,f32]) ).
fof(f56,plain,
! [X0] : 'LE'(f(X0),s(s(s('0')))),
inference(forward_subsumption_resolution,[],[f55,f33]) ).
fof(f57,plain,
! [X0] :
( 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[],[f56,f8]) ).
fof(f58,plain,
! [X0] :
( 'E'(s(s('0')),f(suc(X0)))
| 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[],[f56,f12]) ).
fof(f59,plain,
! [X0] :
( 'E'(s(s('0')),f(suc(suc(X0))))
| 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[],[f56,f11]) ).
fof(f60,plain,
! [X0] :
( 'E'(s(s('0')),f(suc(suc(suc(X0)))))
| 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[],[f56,f5]) ).
fof(f67,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f60,f44]) ).
fof(f68,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(suc(X0))) ),
inference(forward_subsumption_resolution,[],[f67,f57]) ).
fof(f69,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| ~ 'E'(s(s('0')),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f68,f58]) ).
fof(f70,plain,
! [X0] : 'LE'(f(X0),s(s('0'))),
inference(forward_subsumption_resolution,[],[f69,f59]) ).
fof(f71,plain,
! [X0] :
( 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f70,f26]) ).
fof(f72,plain,
! [X0] :
( 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f70,f10]) ).
fof(f73,plain,
! [X0] :
( 'E'(s('0'),f(suc(suc(X0))))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f70,f2]) ).
fof(f74,plain,
! [X0] :
( 'E'(s('0'),f(suc(suc(suc(X0)))))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f70,f21]) ).
fof(f81,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f74,f42]) ).
fof(f82,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f81,f71]) ).
fof(f83,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(forward_subsumption_resolution,[],[f82,f72]) ).
fof(f84,plain,
! [X0] : 'LE'(f(X0),s('0')),
inference(forward_subsumption_resolution,[],[f83,f73]) ).
fof(f85,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) ),
inference(resolution,[],[f84,f23]) ).
fof(f86,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(X0))) ),
inference(resolution,[],[f84,f6]) ).
fof(f87,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(suc(X0)))) ),
inference(resolution,[],[f84,f15]) ).
fof(f88,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f84,f3]) ).
fof(f89,plain,
'E'('0',f(z)),
inference(resolution,[],[f85,f18]) ).
fof(f90,plain,
'E'('0',f(suc(z))),
inference(resolution,[],[f86,f18]) ).
fof(f91,plain,
'E'('0',f(suc(suc(z)))),
inference(resolution,[],[f87,f18]) ).
fof(f92,plain,
'E'('0',f(suc(suc(suc(z))))),
inference(resolution,[],[f88,f18]) ).
fof(f93,plain,
( ~ 'E'('0',f(suc(suc(z))))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(resolution,[],[f92,f39]) ).
fof(f94,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) ),
inference(forward_subsumption_resolution,[],[f93,f91]) ).
fof(f95,plain,
~ 'E'('0',f(z)),
inference(forward_subsumption_resolution,[],[f94,f90]) ).
fof(f96,plain,
$false,
inference(forward_subsumption_resolution,[],[f95,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO675-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.15 % Computer : n006.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 18:02:55 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 Running first-order theorem proving
% 0.09/0.18 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.62/1.03 % (12330)Input is clausal, will run a generic CNF schedule.
% 1.62/1.03 % (12338)lrs+10_1_sil=8000:sp=occurrence:random_seed=3009212873:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.62/1.03 % (12338)Refutation not found, incomplete strategy
% 1.62/1.03 % (12338)------------------------------
% 1.62/1.03 % (12338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.03 % (12338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.03 % (12338)CaDiCaL version: 2.1.3
% 1.62/1.03 % (12338)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.03 % (12338)Time elapsed: 0.0000 s
% 1.62/1.03 % (12338)Peak memory usage: 86 MB
% 1.62/1.03 % (12341)dis-21_1_sil=8000:lcm=predicate:random_seed=2919550301: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)
% 1.62/1.03 % (12336)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3617947233:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.62/1.03 % (12340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1513593193:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.62/1.03 % (12339)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3923915592:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.62/1.03 % (12337)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3700547846:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.62/1.03 % (12335)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=2385022345:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.62/1.03 % (12339)Refutation not found, incomplete strategy
% 1.62/1.03 % (12339)------------------------------
% 1.62/1.03 % (12339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.03 % (12339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.03 % (12339)CaDiCaL version: 2.1.3
% 1.62/1.03 % (12339)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.03 % (12339)Time elapsed: 0.001 s
% 1.62/1.03 % (12339)Peak memory usage: 86 MB
% 1.62/1.03 % (12340)First to succeed.
% 1.62/1.03 % (12340)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12330"
% 1.62/1.03 % (12341)Also succeeded, but the first one will report.
% 1.62/1.03 % (12338)------------------------------
% 1.62/1.03 % (12338)------------------------------
% 1.62/1.03 % (12349)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=2812561324:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.62/1.03 % (12349)Refutation not found, incomplete strategy
% 1.62/1.03 % (12349)------------------------------
% 1.62/1.03 % (12349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.62/1.03 % (12349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/1.03 % (12349)CaDiCaL version: 2.1.3
% 1.62/1.03 % (12349)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.03 % (12349)Time elapsed: 0.0000 s
% 1.62/1.03 % (12349)Peak memory usage: 86 MB
% 1.62/1.03 % (12339)------------------------------
% 1.62/1.03 % (12339)------------------------------
% 1.62/1.03 % (12340)Refutation found. Thanks to Tanya!
% 1.62/1.03 % SZS status Unsatisfiable for theBenchmark
% 1.62/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.23 % (12340)------------------------------
% 3.52/1.23 % (12340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.23 % (12340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.23 % (12340)CaDiCaL version: 2.1.3
% 3.52/1.23 % (12340)Termination reason: Refutation
% 3.52/1.23 % (12340)Time elapsed: 0.005 s
% 3.52/1.23 % (12340)Peak memory usage: 88 MB
% 3.52/1.23 % (12340)Instructions burned: 7 (million)
% 3.52/1.23 % (12340)------------------------------
% 3.52/1.23 % (12340)------------------------------
% 3.52/1.23 % (12330)Success in time 0.414 s
% 3.52/1.23 % Vampire exiting
%------------------------------------------------------------------------------