%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL373+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:52:08 AM UTC 2026
% Result : Theorem 20.53s 3.89s
% Output : Refutation 21.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 11
% Syntax : Number of formulae : 118 ( 59 unt; 6 def)
% Number of atoms : 191 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 150 ( 77 ~; 70 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 243 ( 0 sgn 243 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,z),z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_29) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,z),z))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,z),z))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,z),z))),
inference(cnf_transformation,[],[f7]) ).
fof(f15,definition,
sF0 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
implies(x,y) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = implies(sF0,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
implies(sF0,z) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF2 = implies(x,z),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f20,plain,
implies(x,z) = sF2,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF3 = implies(sF2,z),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f22,plain,
implies(sF2,z) = sF3,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF4 = implies(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f24,plain,
implies(sF1,sF3) = sF4,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f14,f24,f22,f20,f18,f16]) ).
fof(f26,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f10,f11]) ).
fof(f66,plain,
! [X0] : is_a_theorem(implies(implies(sF2,X0),implies(implies(X0,z),sF3))),
inference(superposition,[],[f11,f22]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f26,f10]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) ),
inference(resolution,[],[f74,f11]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f74,f26]) ).
fof(f101,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f13,f10]) ).
fof(f107,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,[],[f86,f11]) ).
fof(f108,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,[],[f86,f26]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f107,f74]) ).
fof(f157,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,[],[f12,f108]) ).
fof(f158,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f12,f74]) ).
fof(f189,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,[],[f158,f107]) ).
fof(f191,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f158,f13]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f85,f10]) ).
fof(f277,plain,
is_a_theorem(implies(implies(sF2,sF0),implies(sF1,sF3))),
inference(superposition,[],[f66,f18]) ).
fof(f279,plain,
is_a_theorem(implies(implies(sF2,sF0),sF4)),
inference(forward_demodulation,[],[f277,f24]) ).
fof(f281,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF2,sF0)))
| is_a_theorem(implies(X0,sF4)) ),
inference(resolution,[],[f279,f74]) ).
fof(f303,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f101,f189]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),X4))))
| ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X4))) ),
inference(resolution,[],[f125,f11]) ).
fof(f345,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))) ),
inference(resolution,[],[f125,f13]) ).
fof(f380,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f345,f13]) ).
fof(f396,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f380,f157]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f396,f74]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(X0,implies(implies(X4,X2),X3)))
| ~ is_a_theorem(implies(X1,X4)) ),
inference(resolution,[],[f335,f10]) ).
fof(f446,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X3),implies(X0,X3))))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f435,f11]) ).
fof(f493,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f407,f11]) ).
fof(f496,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,[],[f407,f26]) ).
fof(f516,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3),implies(X2,X3))),
inference(resolution,[],[f496,f11]) ).
fof(f528,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f493,f496]) ).
fof(f555,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,implies(not(X0),X3)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f528,f10]) ).
fof(f571,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f555,f303]) ).
fof(f587,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f571,f158]) ).
fof(f596,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f571,f189]) ).
fof(f604,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f596,f555]) ).
fof(f718,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f587,f101]) ).
fof(f778,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f604,f12]) ).
fof(f806,plain,
is_a_theorem(implies(sF0,sF4)),
inference(resolution,[],[f778,f281]) ).
fof(f808,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f778,f74]) ).
fof(f820,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,sF0))
| is_a_theorem(implies(X0,sF4)) ),
inference(resolution,[],[f806,f74]) ).
fof(f832,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f808,f74]) ).
fof(f874,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X0),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f832,f778]) ).
fof(f982,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f874,f516]) ).
fof(f1007,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f982,f157]) ).
fof(f1027,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1007,f252]) ).
fof(f1040,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1007,f10]) ).
fof(f1078,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f1040,f493]) ).
fof(f1134,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(resolution,[],[f1027,f11]) ).
fof(f1168,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f1078,f189]) ).
fof(f1192,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X3)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1134,f252]) ).
fof(f1662,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1168,f10]) ).
fof(f1675,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1662,f85]) ).
fof(f1710,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1675,f808]) ).
fof(f1732,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X0),implies(X1,X0))),
inference(resolution,[],[f1710,f1007]) ).
fof(f1801,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,X0),X0),X0)),
inference(resolution,[],[f1732,f158]) ).
fof(f1830,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1801,f74]) ).
fof(f1851,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f1830,f26]) ).
fof(f1885,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1851,f718]) ).
fof(f2386,definition,
( spl5_67
<=> is_a_theorem(implies(x,sF4)) ),
introduced(definition,[new_symbols(definition,[spl5_67])],[avatar_definition]) ).
fof(f2388,plain,
( is_a_theorem(implies(x,sF4))
| ~ spl5_67 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f2840,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1885,f74]) ).
fof(f2878,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f2840,f446]) ).
fof(f2929,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f2878,f12]) ).
fof(f3037,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[],[f2929,f191]) ).
fof(f3099,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f3037,f1192]) ).
fof(f3443,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f3099,f252]) ).
fof(f3467,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3099,f10]) ).
fof(f3519,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f3467,f778]) ).
fof(f4129,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f3519,f2929]) ).
fof(f4210,plain,
! [X0] : is_a_theorem(implies(implies(X0,x),implies(X0,implies(sF2,z)))),
inference(superposition,[],[f4129,f20]) ).
fof(f4215,plain,
! [X0] : is_a_theorem(implies(implies(X0,x),implies(X0,sF3))),
inference(forward_demodulation,[],[f4210,f22]) ).
fof(f4254,plain,
is_a_theorem(implies(implies(sF1,x),sF4)),
inference(superposition,[],[f4215,f24]) ).
fof(f4263,plain,
is_a_theorem(implies(x,sF4)),
inference(resolution,[],[f4254,f1040]) ).
fof(f4277,plain,
spl5_67,
inference(avatar_split_clause,[],[f4263,f2386]) ).
fof(f4402,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f3443,f396]) ).
fof(f4479,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f4402,f158]) ).
fof(f4480,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[],[f4402,f157]) ).
fof(f4515,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f4479,f74]) ).
fof(f4703,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f4515,f26]) ).
fof(f5728,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),X2))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f4703,f26]) ).
fof(f5834,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X1)))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f5728,f74]) ).
fof(f9760,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f5834,f4480]) ).
fof(f9963,plain,
! [X0] :
( is_a_theorem(implies(implies(x,X0),X0))
| ~ is_a_theorem(implies(sF0,X0)) ),
inference(superposition,[],[f9760,f16]) ).
fof(f10123,plain,
( ~ is_a_theorem(implies(sF0,sF0))
| is_a_theorem(implies(implies(x,sF0),sF4)) ),
inference(resolution,[],[f9963,f820]) ).
fof(f10127,plain,
is_a_theorem(implies(implies(x,sF0),sF4)),
inference(forward_subsumption_resolution,[],[f10123,f191]) ).
fof(f10154,plain,
is_a_theorem(implies(implies(x,sF4),sF4)),
inference(resolution,[],[f10127,f9760]) ).
fof(f10178,plain,
( is_a_theorem(sF4)
| ~ is_a_theorem(implies(x,sF4)) ),
inference(resolution,[],[f10154,f10]) ).
fof(f10179,plain,
~ is_a_theorem(implies(x,sF4)),
inference(forward_subsumption_resolution,[],[f10178,f25]) ).
fof(f10182,plain,
( $false
| ~ spl5_67 ),
inference(forward_subsumption_resolution,[],[f10179,f2388]) ).
fof(f10183,plain,
~ spl5_67,
inference(avatar_contradiction_clause,[],[f10182]) ).
cnf(s58,plain,
spl5_67,
inference(sat_conversion,[],[f4277]) ).
cnf(s72,plain,
~ spl5_67,
inference(sat_conversion,[],[f10183]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s58,s72]) ).
fof(f10185,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL373+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:36:52 UTC 2026
% 0.04/0.39 % CPUTime :
% 0.04/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.42 Running first-order theorem proving
% 0.04/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.25/3.39 % (3682070)Detected formulas, will run a generic FOF schedule.
% 17.25/3.39 % (3682097)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3228858959:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.25/3.39 % (3682094)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3454060524:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.25/3.39 % (3682093)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3366442640:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.25/3.39 % (3682095)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1823260643:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.25/3.39 % (3682096)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=762478550:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.25/3.39 % (3682095)Refutation not found, incomplete strategy
% 17.25/3.39 % (3682095)------------------------------
% 17.25/3.39 % (3682095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.25/3.39 % (3682095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.25/3.39 % (3682095)CaDiCaL version: 2.1.3
% 17.25/3.39 % (3682095)Termination reason: Refutation not found, incomplete strategy
% 17.25/3.39 % (3682095)Time elapsed: 0.001 s
% 17.25/3.39 % (3682095)Peak memory usage: 87 MB
% 17.25/3.39 % (3682092)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=840918208:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.25/3.39 % (3682098)dis-21_1_sil=8000:lcm=predicate:random_seed=4046743240:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 17.25/3.39 % (3682097)Instruction limit reached!
% 17.25/3.39 % (3682097)------------------------------
% 17.25/3.39 % (3682097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.25/3.39 % (3682097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.25/3.39 % (3682097)CaDiCaL version: 2.1.3
% 17.25/3.39 % (3682097)Termination reason: Instruction limit
% 17.25/3.39 % (3682097)Termination phase: Saturation
% 17.25/3.39 % (3682097)Time elapsed: 0.111 s
% 17.25/3.39 % (3682097)Peak memory usage: 90 MB
% 17.25/3.39 % (3682097)Instructions burned: 139 (million)
% 17.25/3.39 % (3682096)Instruction limit reached!
% 17.25/3.39 % (3682096)------------------------------
% 17.25/3.39 % (3682096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.25/3.39 % (3682096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.25/3.39 % (3682096)CaDiCaL version: 2.1.3
% 17.25/3.39 % (3682096)Termination reason: Instruction limit
% 17.25/3.39 % (3682096)Termination phase: Saturation
% 17.25/3.39 % (3682096)Time elapsed: 0.106 s
% 17.25/3.39 % (3682096)Peak memory usage: 87 MB
% 17.25/3.39 % (3682096)Instructions burned: 119 (million)
% 17.25/3.39 % (3682098)Instruction limit reached!
% 17.25/3.39 % (3682098)------------------------------
% 17.25/3.39 % (3682098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.25/3.39 % (3682098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.25/3.39 % (3682098)CaDiCaL version: 2.1.3
% 17.25/3.39 % (3682098)Termination reason: Instruction limit
% 17.25/3.39 % (3682098)Termination phase: Saturation
% 17.25/3.39 % (3682098)Time elapsed: 0.132 s
% 17.25/3.39 % (3682098)Peak memory usage: 89 MB
% 17.25/3.39 % (3682098)Instructions burned: 129 (million)
% 17.25/3.39 % (3682111)lrs+10_1_sil=8000:sp=occurrence:random_seed=1126918861:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 17.25/3.39 % (3682112)lrs+10_1_sil=32000:urr=on:br=off:random_seed=939042208:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.25/3.39 % (3682095)------------------------------
% 17.25/3.39 % (3682095)------------------------------
% 17.25/3.39 % (3682114)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4114953566:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 17.25/3.39 % (3682112)Instruction limit reached!
% 17.25/3.39 % (3682112)------------------------------
% 17.25/3.39 % (3682112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.25/3.39 % (3682112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682112)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682112)Termination reason: Instruction limit
% 20.53/3.89 % (3682112)Termination phase: Saturation
% 20.53/3.89 % (3682112)Time elapsed: 0.143 s
% 20.53/3.89 % (3682112)Peak memory usage: 89 MB
% 20.53/3.89 % (3682112)Instructions burned: 157 (million)
% 20.53/3.89 % (3682111)Instruction limit reached!
% 20.53/3.89 % (3682111)------------------------------
% 20.53/3.89 % (3682111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682111)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682111)Termination reason: Instruction limit
% 20.53/3.89 % (3682111)Termination phase: Saturation
% 20.53/3.89 % (3682111)Time elapsed: 0.290 s
% 20.53/3.89 % (3682111)Peak memory usage: 90 MB
% 20.53/3.89 % (3682111)Instructions burned: 285 (million)
% 20.53/3.89 % (3682120)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=192673124:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 20.53/3.89 % (3682125)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2512721750:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.53/3.89 % (3682125)Refutation not found, incomplete strategy
% 20.53/3.89 % (3682125)------------------------------
% 20.53/3.89 % (3682125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682125)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682125)Termination reason: Refutation not found, incomplete strategy
% 20.53/3.89 % (3682125)Time elapsed: 0.001 s
% 20.53/3.89 % (3682125)Peak memory usage: 87 MB
% 20.53/3.89 % (3682114)Instruction limit reached!
% 20.53/3.89 % (3682114)------------------------------
% 20.53/3.89 % (3682114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682114)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682114)Termination reason: Instruction limit
% 20.53/3.89 % (3682114)Termination phase: Saturation
% 20.53/3.89 % (3682114)Time elapsed: 0.283 s
% 20.53/3.89 % (3682114)Peak memory usage: 93 MB
% 20.53/3.89 % (3682114)Instructions burned: 325 (million)
% 20.53/3.89 % (3682127)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2605018315:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 20.53/3.89 % (3682120)Instruction limit reached!
% 20.53/3.89 % (3682120)------------------------------
% 20.53/3.89 % (3682120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682120)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682120)Termination reason: Instruction limit
% 20.53/3.89 % (3682120)Termination phase: Saturation
% 20.53/3.89 % (3682120)Time elapsed: 0.213 s
% 20.53/3.89 % (3682120)Peak memory usage: 89 MB
% 20.53/3.89 % (3682120)Instructions burned: 249 (million)
% 20.53/3.89 % (3682132)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3617681649:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 20.53/3.89 % (3682136)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3713320046:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 20.53/3.89 % (3682125)------------------------------
% 20.53/3.89 % (3682125)------------------------------
% 20.53/3.89 % (3682132)Instruction limit reached!
% 20.53/3.89 % (3682132)------------------------------
% 20.53/3.89 % (3682132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682132)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682132)Termination reason: Instruction limit
% 20.53/3.89 % (3682132)Termination phase: Saturation
% 20.53/3.89 % (3682132)Time elapsed: 0.118 s
% 20.53/3.89 % (3682132)Peak memory usage: 89 MB
% 20.53/3.89 % (3682132)Instructions burned: 113 (million)
% 20.53/3.89 % (3682136)Instruction limit reached!
% 20.53/3.89 % (3682136)------------------------------
% 20.53/3.89 % (3682136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682136)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682136)Termination reason: Instruction limit
% 20.53/3.89 % (3682136)Termination phase: Saturation
% 20.53/3.89 % (3682136)Time elapsed: 0.120 s
% 20.53/3.89 % (3682136)Peak memory usage: 88 MB
% 20.53/3.89 % (3682136)Instructions burned: 128 (million)
% 20.53/3.89 % (3682142)lrs+10_1_sil=8000:sp=occurrence:random_seed=1716348937:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 20.53/3.89 % (3682141)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3442455257:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 20.53/3.89 % (3682144)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2679836173:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 20.53/3.89 % (3682144)Refutation not found, incomplete strategy
% 20.53/3.89 % (3682144)------------------------------
% 20.53/3.89 % (3682144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682144)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682144)Termination reason: Refutation not found, incomplete strategy
% 20.53/3.89 % (3682144)Time elapsed: 0.002 s
% 20.53/3.89 % (3682144)Peak memory usage: 87 MB
% 20.53/3.89 % (3682141)Instruction limit reached!
% 20.53/3.89 % (3682141)------------------------------
% 20.53/3.89 % (3682141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682141)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682141)Termination reason: Instruction limit
% 20.53/3.89 % (3682141)Termination phase: Saturation
% 20.53/3.89 % (3682141)Time elapsed: 0.127 s
% 20.53/3.89 % (3682141)Peak memory usage: 89 MB
% 20.53/3.89 % (3682141)Instructions burned: 114 (million)
% 20.53/3.89 % (3682150)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=822160542:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 20.53/3.89 % (3682144)------------------------------
% 20.53/3.89 % (3682144)------------------------------
% 20.53/3.89 % (3682152)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3566202958:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 20.53/3.89 % (3682152)Instruction limit reached!
% 20.53/3.89 % (3682152)------------------------------
% 20.53/3.89 % (3682152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682152)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682152)Termination reason: Instruction limit
% 20.53/3.89 % (3682152)Termination phase: Saturation
% 20.53/3.89 % (3682152)Time elapsed: 0.077 s
% 20.53/3.89 % (3682152)Peak memory usage: 89 MB
% 20.53/3.89 % (3682152)Instructions burned: 136 (million)
% 20.53/3.89 % (3682142)Instruction limit reached!
% 20.53/3.89 % (3682142)------------------------------
% 20.53/3.89 % (3682142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682142)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682142)Termination reason: Instruction limit
% 20.53/3.89 % (3682142)Termination phase: Saturation
% 20.53/3.89 % (3682142)Time elapsed: 0.648 s
% 20.53/3.89 % (3682142)Peak memory usage: 95 MB
% 20.53/3.89 % (3682142)Instructions burned: 908 (million)
% 20.53/3.89 % (3682158)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2368669006:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 20.53/3.89 % (3682158)Refutation not found, incomplete strategy
% 20.53/3.89 % (3682158)------------------------------
% 20.53/3.89 % (3682158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682158)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682158)Termination reason: Refutation not found, incomplete strategy
% 20.53/3.89 % (3682158)Time elapsed: 0.001 s
% 20.53/3.89 % (3682158)Peak memory usage: 88 MB
% 20.53/3.89 % (3682187)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2069894012:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 20.53/3.89 % (3682158)------------------------------
% 20.53/3.89 % (3682158)------------------------------
% 20.53/3.89 % (3682264)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3532650468:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 20.53/3.89 % (3682264)Instruction limit reached!
% 20.53/3.89 % (3682264)------------------------------
% 20.53/3.89 % (3682264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682264)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682264)Termination reason: Instruction limit
% 20.53/3.89 % (3682264)Termination phase: Saturation
% 20.53/3.89 % (3682264)Time elapsed: 0.078 s
% 20.53/3.89 % (3682264)Peak memory usage: 89 MB
% 20.53/3.89 % (3682264)Instructions burned: 125 (million)
% 20.53/3.89 % (3682309)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2918758229:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 20.53/3.89 % (3682127)Instruction limit reached!
% 20.53/3.89 % (3682127)------------------------------
% 20.53/3.89 % (3682127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682127)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682127)Termination reason: Instruction limit
% 20.53/3.89 % (3682127)Termination phase: Saturation
% 20.53/3.89 % (3682127)Time elapsed: 1.714 s
% 20.53/3.89 % (3682127)Peak memory usage: 141 MB
% 20.53/3.89 % (3682127)Instructions burned: 2352 (million)
% 20.53/3.89 % (3682092)First to succeed.
% 20.53/3.89 % (3682092)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3682070"
% 20.53/3.89 % (3682309)Instruction limit reached!
% 20.53/3.89 % (3682309)------------------------------
% 20.53/3.89 % (3682309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682309)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682309)Termination reason: Instruction limit
% 20.53/3.89 % (3682309)Termination phase: Saturation
% 20.53/3.89 % (3682309)Time elapsed: 0.086 s
% 20.53/3.89 % (3682309)Peak memory usage: 90 MB
% 20.53/3.89 % (3682309)Instructions burned: 136 (million)
% 20.53/3.89 % (3682315)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2483549489:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 20.53/3.89 % (3682315)Refutation not found, incomplete strategy
% 20.53/3.89 % (3682315)------------------------------
% 20.53/3.89 % (3682315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.89 % (3682315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.89 % (3682315)CaDiCaL version: 2.1.3
% 20.53/3.89 % (3682315)Termination reason: Refutation not found, incomplete strategy
% 20.53/3.89 % (3682315)Time elapsed: 0.001 s
% 20.53/3.89 % (3682315)Peak memory usage: 88 MB
% 20.53/3.89 % (3682316)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1327401719:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 20.53/3.89 % (3682092)Refutation found. Thanks to Tanya!
% 20.53/3.89 % SZS status Theorem for theBenchmark
% 20.53/3.89 % SZS output start Proof for theBenchmark
% See solution above
% 21.63/4.08 % (3682092)------------------------------
% 21.63/4.08 % (3682092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.63/4.08 % (3682092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/4.08 % (3682092)CaDiCaL version: 2.1.3
% 21.63/4.08 % (3682092)Termination reason: Refutation
% 21.63/4.08 % (3682092)Time elapsed: 2.514 s
% 21.63/4.08 % (3682092)Peak memory usage: 148 MB
% 21.63/4.08 % (3682092)Instructions burned: 3067 (million)
% 21.63/4.08 % (3682092)------------------------------
% 21.63/4.08 % (3682092)------------------------------
% 21.63/4.08 % (3682070)Success in time 2.971 s
% 21.63/4.08 % Vampire exiting
%------------------------------------------------------------------------------