%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL400-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:52:18 AM UTC 2026
% Result : Unsatisfiable 8.64s 2.15s
% Output : Refutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 9
% Syntax : Number of formulae : 106 ( 32 unt; 4 def)
% Number of atoms : 204 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 199 ( 101 ~; 97 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 251 ( 0 sgn 251 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,y)),x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_66) ).
fof(f6,definition,
sF0 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
implies(x,y) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = implies(sF1,x),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
implies(sF1,x) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f5,f11,f9,f7]) ).
fof(f13,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f35,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f13,f1]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f39,f2]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f39,f13]) ).
fof(f47,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f39,f3]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f45,f2]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f45,f13]) ).
fof(f56,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f45,f4]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2)))) ),
inference(resolution,[],[f54,f39]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f47,f54]) ).
fof(f74,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f47,f4]) ).
fof(f75,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),not(X0)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f47,f56]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(not(X3),X2)))) ),
inference(resolution,[],[f61,f4]) ).
fof(f97,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f88,f4]) ).
fof(f119,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f35,f75]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f55,f3]) ).
fof(f227,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f161,f97]) ).
fof(f229,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f161,f74]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
| is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[],[f227,f39]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f227,f1]) ).
fof(f267,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f239,f2]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f239,f13]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(implies(X1,not(X4)),implies(X0,implies(X4,X3)))) ),
inference(resolution,[],[f267,f61]) ).
fof(f300,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f269,f267]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f300,f1]) ).
fof(f322,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))),
inference(resolution,[],[f318,f2]) ).
fof(f382,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(implies(X0,X2),implies(X1,X2)))),
inference(resolution,[],[f284,f229]) ).
fof(f403,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f382,f240]) ).
fof(f418,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f403,f239]) ).
fof(f422,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(resolution,[],[f403,f45]) ).
fof(f435,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f418,f73]) ).
fof(f493,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f435,f1]) ).
fof(f497,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f493,f54]) ).
fof(f503,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f493,f422]) ).
fof(f511,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f503,f13]) ).
fof(f521,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f503,f119]) ).
fof(f573,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f521,f240]) ).
fof(f630,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X2,X1))) ),
inference(resolution,[],[f511,f13]) ).
fof(f729,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f573,f3]) ).
fof(f734,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X0),implies(X1,X0))),
inference(resolution,[],[f729,f630]) ).
fof(f769,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,X0),X0),X0)),
inference(resolution,[],[f734,f47]) ).
fof(f779,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f769,f39]) ).
fof(f789,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f779,f13]) ).
fof(f839,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f789,f119]) ).
fof(f960,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f839,f39]) ).
fof(f1004,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,X0)))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f960,f44]) ).
fof(f1034,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f1004,f227]) ).
fof(f1050,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(implies(not(X0),implies(X0,X1))) ),
inference(resolution,[],[f1004,f418]) ).
fof(f1206,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f1034,f1]) ).
fof(f1410,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f1050,f769]) ).
fof(f1451,definition,
( spl3_24
<=> ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f1452,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1)))
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1454,plain,
spl3_24,
inference(avatar_split_clause,[],[f1410,f1451]) ).
fof(f1455,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl3_24 ),
inference(resolution,[],[f1452,f73]) ).
fof(f1460,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl3_24 ),
inference(resolution,[],[f1452,f45]) ).
fof(f1502,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f1455,f39]) ).
fof(f1568,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f1460,f73]) ).
fof(f1647,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_24 ),
inference(resolution,[],[f1568,f1]) ).
fof(f1660,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_24 ),
inference(resolution,[],[f1647,f13]) ).
fof(f1732,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X0),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f1660,f322]) ).
fof(f1811,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f1502,f422]) ).
fof(f2024,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl3_24 ),
inference(resolution,[],[f1811,f729]) ).
fof(f2078,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) )
| ~ spl3_24 ),
inference(resolution,[],[f2024,f1206]) ).
fof(f2133,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))
| ~ spl3_24 ),
inference(resolution,[],[f2078,f229]) ).
fof(f2176,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f2133,f45]) ).
fof(f2183,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
| ~ spl3_24 ),
inference(resolution,[],[f2133,f1811]) ).
fof(f2196,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))
| ~ spl3_24 ),
inference(resolution,[],[f2133,f497]) ).
fof(f2245,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(not(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f2196,f39]) ).
fof(f2251,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_24 ),
inference(resolution,[],[f2183,f1206]) ).
fof(f2360,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(not(X1)),X1)))
| ~ spl3_24 ),
inference(resolution,[],[f2176,f1452]) ).
fof(f2443,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl3_24 ),
inference(resolution,[],[f2251,f382]) ).
fof(f2478,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ spl3_24 ),
inference(resolution,[],[f2245,f267]) ).
fof(f2617,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) )
| ~ spl3_24 ),
inference(resolution,[],[f2478,f39]) ).
fof(f2709,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X1)))))
| ~ spl3_24 ),
inference(resolution,[],[f2617,f2360]) ).
fof(f2756,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1)))))
| ~ spl3_24 ),
inference(resolution,[],[f2709,f497]) ).
fof(f2867,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0)))
| ~ spl3_24 ),
inference(resolution,[],[f2756,f2617]) ).
fof(f2914,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
| is_a_theorem(implies(X0,implies(not(X2),X1))) )
| ~ spl3_24 ),
inference(resolution,[],[f2867,f39]) ).
fof(f2940,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1)))
| ~ spl3_24 ),
inference(resolution,[],[f2914,f2183]) ).
fof(f2992,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(implies(not(X0),X0),X1)))
| ~ spl3_24 ),
inference(resolution,[],[f2940,f1811]) ).
fof(f3411,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X0),X0)))
| is_a_theorem(implies(not(X0),implies(X1,X2))) )
| ~ spl3_24 ),
inference(resolution,[],[f2992,f45]) ).
fof(f3901,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2))))
| ~ spl3_24 ),
inference(resolution,[],[f2443,f1732]) ).
fof(f3953,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(not(X0),X2)))
| ~ spl3_24 ),
inference(resolution,[],[f3901,f3411]) ).
fof(f4091,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(not(X2),X0)))
| ~ spl3_24 ),
inference(resolution,[],[f3953,f2914]) ).
fof(f4401,plain,
( ! [X0] : is_a_theorem(implies(not(sF0),implies(not(X0),x)))
| ~ spl3_24 ),
inference(superposition,[],[f4091,f7]) ).
fof(f4403,plain,
( ! [X0] : is_a_theorem(implies(sF1,implies(not(X0),x)))
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4401,f9]) ).
fof(f4825,plain,
( is_a_theorem(implies(sF1,x))
| ~ spl3_24 ),
inference(resolution,[],[f4403,f47]) ).
fof(f4855,plain,
( is_a_theorem(sF2)
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4825,f11]) ).
fof(f4860,plain,
( $false
| ~ spl3_24 ),
inference(forward_subsumption_resolution,[],[f4855,f12]) ).
fof(f4861,plain,
~ spl3_24,
inference(avatar_contradiction_clause,[],[f4860]) ).
cnf(s16,plain,
spl3_24,
inference(sat_conversion,[],[f1454]) ).
cnf(s23,plain,
~ spl3_24,
inference(sat_conversion,[],[f4861]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s16,s23]) ).
fof(f4862,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL400-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:40:07 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 8.64/2.15 % (3688162)Input is clausal, will run a generic CNF schedule.
% 8.64/2.15 % (3688186)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=4112579923:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.64/2.15 % (3688190)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1737636665:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.64/2.15 % (3688187)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2128852120:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.64/2.15 % (3688188)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3419167698:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.64/2.15 % (3688191)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1430842822:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.64/2.15 % (3688192)dis-21_1_sil=8000:lcm=predicate:random_seed=1857178151: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)
% 8.64/2.15 % (3688189)lrs+10_1_sil=8000:sp=occurrence:random_seed=810149256:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.64/2.15 % (3688190)Instruction limit reached!
% 8.64/2.15 % (3688190)------------------------------
% 8.64/2.15 % (3688190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688190)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688190)Termination reason: Instruction limit
% 8.64/2.15 % (3688190)Termination phase: Saturation
% 8.64/2.15 % (3688190)Time elapsed: 0.116 s
% 8.64/2.15 % (3688190)Peak memory usage: 88 MB
% 8.64/2.15 % (3688190)Instructions burned: 114 (million)
% 8.64/2.15 % (3688192)Instruction limit reached!
% 8.64/2.15 % (3688192)------------------------------
% 8.64/2.15 % (3688192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688192)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688192)Termination reason: Instruction limit
% 8.64/2.15 % (3688192)Termination phase: Saturation
% 8.64/2.15 % (3688192)Time elapsed: 0.106 s
% 8.64/2.15 % (3688192)Peak memory usage: 88 MB
% 8.64/2.15 % (3688192)Instructions burned: 121 (million)
% 8.64/2.15 % (3688189)Instruction limit reached!
% 8.64/2.15 % (3688189)------------------------------
% 8.64/2.15 % (3688189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688189)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688189)Termination reason: Instruction limit
% 8.64/2.15 % (3688189)Termination phase: Saturation
% 8.64/2.15 % (3688189)Time elapsed: 0.112 s
% 8.64/2.15 % (3688189)Peak memory usage: 88 MB
% 8.64/2.15 % (3688189)Instructions burned: 107 (million)
% 8.64/2.15 % (3688191)Instruction limit reached!
% 8.64/2.15 % (3688191)------------------------------
% 8.64/2.15 % (3688191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688191)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688191)Termination reason: Instruction limit
% 8.64/2.15 % (3688191)Termination phase: Saturation
% 8.64/2.15 % (3688191)Time elapsed: 0.183 s
% 8.64/2.15 % (3688191)Peak memory usage: 89 MB
% 8.64/2.15 % (3688191)Instructions burned: 180 (million)
% 8.64/2.15 % (3688204)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=3146329057:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.64/2.15 % (3688204)Refutation not found, incomplete strategy
% 8.64/2.15 % (3688204)------------------------------
% 8.64/2.15 % (3688204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688204)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688204)Termination reason: Refutation not found, incomplete strategy
% 8.64/2.15 % (3688204)Time elapsed: 0.001 s
% 8.64/2.15 % (3688204)Peak memory usage: 87 MB
% 8.64/2.15 % (3688205)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1787720171:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 8.64/2.15 % (3688206)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3388120202:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.64/2.15 % (3688206)Refutation not found, incomplete strategy
% 8.64/2.15 % (3688206)------------------------------
% 8.64/2.15 % (3688206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688206)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688206)Termination reason: Refutation not found, incomplete strategy
% 8.64/2.15 % (3688206)Time elapsed: 0.001 s
% 8.64/2.15 % (3688206)Peak memory usage: 87 MB
% 8.64/2.15 % (3688208)lrs+10_64_to=lpo:sil=8000:random_seed=2535645216:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.64/2.15 % (3688205)Instruction limit reached!
% 8.64/2.15 % (3688205)------------------------------
% 8.64/2.15 % (3688205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688205)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688205)Termination reason: Instruction limit
% 8.64/2.15 % (3688205)Termination phase: Saturation
% 8.64/2.15 % (3688205)Time elapsed: 0.151 s
% 8.64/2.15 % (3688205)Peak memory usage: 89 MB
% 8.64/2.15 % (3688205)Instructions burned: 189 (million)
% 8.64/2.15 % (3688208)Instruction limit reached!
% 8.64/2.15 % (3688208)------------------------------
% 8.64/2.15 % (3688208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688208)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688208)Termination reason: Instruction limit
% 8.64/2.15 % (3688208)Termination phase: Saturation
% 8.64/2.15 % (3688208)Time elapsed: 0.115 s
% 8.64/2.15 % (3688208)Peak memory usage: 88 MB
% 8.64/2.15 % (3688208)Instructions burned: 127 (million)
% 8.64/2.15 % (3688204)------------------------------
% 8.64/2.15 % (3688204)------------------------------
% 8.64/2.15 % (3688215)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=411573157:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 8.64/2.15 % (3688206)------------------------------
% 8.64/2.15 % (3688206)------------------------------
% 8.64/2.15 % (3688219)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1852512081:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 8.64/2.15 % (3688215)Instruction limit reached!
% 8.64/2.15 % (3688215)------------------------------
% 8.64/2.15 % (3688215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688215)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688215)Termination reason: Instruction limit
% 8.64/2.15 % (3688215)Termination phase: Saturation
% 8.64/2.15 % (3688215)Time elapsed: 0.130 s
% 8.64/2.15 % (3688215)Peak memory usage: 89 MB
% 8.64/2.15 % (3688215)Instructions burned: 194 (million)
% 8.64/2.15 % (3688220)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3630140701:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 8.64/2.15 % (3688222)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=635515538:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 8.64/2.15 % (3688219)Instruction limit reached!
% 8.64/2.15 % (3688219)------------------------------
% 8.64/2.15 % (3688219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688219)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688219)Termination reason: Instruction limit
% 8.64/2.15 % (3688219)Termination phase: Saturation
% 8.64/2.15 % (3688219)Time elapsed: 0.105 s
% 8.64/2.15 % (3688219)Peak memory usage: 90 MB
% 8.64/2.15 % (3688219)Instructions burned: 158 (million)
% 8.64/2.15 % (3688222)Instruction limit reached!
% 8.64/2.15 % (3688222)------------------------------
% 8.64/2.15 % (3688222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688222)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688222)Termination reason: Instruction limit
% 8.64/2.15 % (3688222)Termination phase: Saturation
% 8.64/2.15 % (3688222)Time elapsed: 0.059 s
% 8.64/2.15 % (3688222)Peak memory usage: 89 MB
% 8.64/2.15 % (3688222)Instructions burned: 107 (million)
% 8.64/2.15 % (3688224)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2320679901:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 8.64/2.15 % (3688224)Refutation not found, incomplete strategy
% 8.64/2.15 % (3688224)------------------------------
% 8.64/2.15 % (3688224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/2.15 % (3688224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/2.15 % (3688224)CaDiCaL version: 2.1.3
% 8.64/2.15 % (3688224)Termination reason: Refutation not found, incomplete strategy
% 8.64/2.15 % (3688224)Time elapsed: 0.001 s
% 8.64/2.15 % (3688224)Peak memory usage: 87 MB
% 8.64/2.15 % (3688186)First to succeed.
% 8.64/2.15 % (3688186)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3688162"
% 8.64/2.15 % (3688227)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1784689166:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 8.64/2.15 % (3688187)Also succeeded, but the first one will report.
% 8.64/2.15 % (3688229)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2081137761:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 8.64/2.15 % (3688186)Refutation found. Thanks to Tanya!
% 8.64/2.15 % SZS status Unsatisfiable for theBenchmark
% 8.64/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 9.55/2.33 % (3688186)------------------------------
% 9.55/2.33 % (3688186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.33 % (3688186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.33 % (3688186)CaDiCaL version: 2.1.3
% 9.55/2.33 % (3688186)Termination reason: Refutation
% 9.55/2.33 % (3688186)Time elapsed: 0.951 s
% 9.55/2.33 % (3688186)Peak memory usage: 139 MB
% 9.55/2.33 % (3688186)Instructions burned: 2026 (million)
% 9.55/2.33 % (3688186)------------------------------
% 9.55/2.33 % (3688186)------------------------------
% 9.55/2.33 % (3688162)Success in time 1.257 s
% 9.55/2.33 % Vampire exiting
%------------------------------------------------------------------------------