%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL501+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:52:37 AM UTC 2026
% Result : Theorem 25.98s 4.55s
% Output : Refutation 26.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 129 ( 60 unt; 0 def)
% Number of atoms : 217 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 163 ( 75 ~; 66 |; 2 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 236 ( 233 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).
fof(f18,axiom,
( kn3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn3) ).
fof(f22,axiom,
( r1
<=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r1) ).
fof(f23,axiom,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2) ).
fof(f24,axiom,
( r3
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3) ).
fof(f25,axiom,
( r4
<=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r4) ).
fof(f26,axiom,
( r5
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r5) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).
fof(f28,axiom,
( op_and
=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_and) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).
fof(f30,axiom,
( op_implies_or
=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or) ).
fof(f32,axiom,
op_implies_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_implies_or) ).
fof(f33,axiom,
op_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_modus_ponens) ).
fof(f36,axiom,
r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r1) ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r2) ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r3) ).
fof(f39,axiom,
r4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r4) ).
fof(f40,axiom,
r5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r5) ).
fof(f42,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_op_or) ).
fof(f43,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_op_implies_and) ).
fof(f45,conjecture,
kn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn3) ).
fof(f46,negated_conjecture,
~ kn3,
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f47,plain,
~ kn3,
inference(flattening,[],[f46]) ).
fof(f48,plain,
( r5
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f26]) ).
fof(f49,plain,
( r4
=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f50,plain,
( r3
=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f51,plain,
( r2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f52,plain,
( r1
=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f53,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
=> kn3 ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f55,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f56,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f55]) ).
fof(f57,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f56]) ).
fof(f59,plain,
( kn3
| ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
inference(ennf_transformation,[],[f53]) ).
fof(f60,plain,
( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(ennf_transformation,[],[f52]) ).
fof(f61,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(ennf_transformation,[],[f51]) ).
fof(f62,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(ennf_transformation,[],[f50]) ).
fof(f63,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(ennf_transformation,[],[f49]) ).
fof(f64,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(ennf_transformation,[],[f48]) ).
fof(f65,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f66,plain,
( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(ennf_transformation,[],[f28]) ).
fof(f67,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f68,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(ennf_transformation,[],[f30]) ).
fof(f70,plain,
( kn3
| ~ is_a_theorem(implies(implies(sK0,sK1),implies(not(and(sK1,sK2)),not(and(sK2,sK0))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f59]) ).
fof(f71,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f57]) ).
fof(f73,plain,
( kn3
| ~ is_a_theorem(implies(implies(sK0,sK1),implies(not(and(sK1,sK2)),not(and(sK2,sK0))))) ),
inference(cnf_transformation,[],[f70]) ).
fof(f74,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f75,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f76,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[],[f62]) ).
fof(f77,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[],[f63]) ).
fof(f78,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(cnf_transformation,[],[f64]) ).
fof(f79,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f65]) ).
fof(f80,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[],[f66]) ).
fof(f81,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f67]) ).
fof(f82,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[],[f68]) ).
fof(f84,plain,
op_implies_or,
inference(cnf_transformation,[],[f32]) ).
fof(f85,plain,
op_and,
inference(cnf_transformation,[],[f33]) ).
fof(f87,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f88,plain,
r1,
inference(cnf_transformation,[],[f36]) ).
fof(f89,plain,
r2,
inference(cnf_transformation,[],[f37]) ).
fof(f90,plain,
r3,
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
r4,
inference(cnf_transformation,[],[f39]) ).
fof(f92,plain,
r5,
inference(cnf_transformation,[],[f40]) ).
fof(f94,plain,
op_or,
inference(cnf_transformation,[],[f42]) ).
fof(f95,plain,
op_implies_and,
inference(cnf_transformation,[],[f43]) ).
fof(f97,plain,
~ kn3,
inference(cnf_transformation,[],[f47]) ).
fof(f99,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(forward_subsumption_resolution,[],[f82,f84]) ).
fof(f100,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f81,f95]) ).
fof(f101,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f80,f85]) ).
fof(f102,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f79,f94]) ).
fof(f103,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))),
inference(forward_subsumption_resolution,[],[f78,f92]) ).
fof(f104,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(forward_subsumption_resolution,[],[f77,f91]) ).
fof(f105,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))),
inference(forward_subsumption_resolution,[],[f76,f90]) ).
fof(f106,plain,
! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
inference(forward_subsumption_resolution,[],[f75,f89]) ).
fof(f107,plain,
! [X0] : is_a_theorem(implies(or(X0,X0),X0)),
inference(forward_subsumption_resolution,[],[f74,f88]) ).
fof(f108,plain,
~ is_a_theorem(implies(implies(sK0,sK1),implies(not(and(sK1,sK2)),not(and(sK2,sK0))))),
inference(forward_subsumption_resolution,[],[f73,f97]) ).
fof(f110,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f71,f87]) ).
fof(f111,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[],[f101,f99]) ).
fof(f112,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f102,f100]) ).
fof(f115,plain,
! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X1))),
inference(superposition,[],[f106,f99]) ).
fof(f117,plain,
~ is_a_theorem(implies(implies(sK0,sK1),or(and(sK1,sK2),not(and(sK2,sK0))))),
inference(superposition,[],[f108,f112]) ).
fof(f120,plain,
! [X0,X1] : is_a_theorem(or(X0,implies(X1,not(X0)))),
inference(superposition,[],[f115,f112]) ).
fof(f135,plain,
! [X0,X1] : is_a_theorem(implies(or(X1,not(X0)),implies(X0,X1))),
inference(superposition,[],[f105,f99]) ).
fof(f138,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X2,X0),or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f110,f103]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,or(X1,X2)))
| is_a_theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f110,f104]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,implies(X0,X1)))
| is_a_theorem(or(not(X0),or(X2,X1))) ),
inference(superposition,[],[f139,f99]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(or(X1,or(not(X0),X2))) ),
inference(superposition,[],[f139,f99]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(or(X1,implies(X0,X2))) ),
inference(forward_demodulation,[],[f143,f99]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,implies(X0,X1)))
| is_a_theorem(implies(X0,or(X2,X1))) ),
inference(forward_demodulation,[],[f142,f99]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(or(not(X0),implies(X2,X1))) ),
inference(superposition,[],[f144,f99]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(forward_demodulation,[],[f149,f99]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(X2,X1)) ),
inference(resolution,[],[f138,f110]) ).
fof(f179,plain,
! [X2,X0,X1] : or(implies(X0,not(X1)),X2) = implies(and(X0,X1),X2),
inference(superposition,[],[f112,f111]) ).
fof(f181,plain,
! [X2,X0,X1] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(superposition,[],[f99,f111]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(or(not(X0),X2)) ),
inference(superposition,[],[f171,f99]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f197,f99]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(implies(X0,or(X2,X1))) ),
inference(resolution,[],[f198,f105]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(implies(X0,or(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f198,f138]) ).
fof(f206,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f198,f107]) ).
fof(f208,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(resolution,[],[f204,f106]) ).
fof(f211,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X2,X0)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f204,f138]) ).
fof(f213,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X2,or(X1,not(X0))))
| ~ is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(superposition,[],[f204,f99]) ).
fof(f217,plain,
! [X0,X1] : is_a_theorem(or(X0,implies(X0,X1))),
inference(resolution,[],[f208,f144]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(or(X0,X2)) ),
inference(resolution,[],[f217,f171]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f135,f198]) ).
fof(f265,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(superposition,[],[f135,f99]) ).
fof(f267,plain,
! [X0,X1] : is_a_theorem(or(and(X0,X1),implies(X1,not(X0)))),
inference(forward_demodulation,[],[f265,f181]) ).
fof(f287,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(and(X1,X0),not(X1)))),
inference(resolution,[],[f267,f145]) ).
fof(f294,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X1,X0)))),
inference(resolution,[],[f287,f261]) ).
fof(f304,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(resolution,[],[f294,f152]) ).
fof(f672,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X2,X3)))
| ~ is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f205,f211]) ).
fof(f1349,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X2),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f672,f206]) ).
fof(f1378,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X0),X2)) ),
inference(superposition,[],[f1349,f99]) ).
fof(f1381,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(or(X0,X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(forward_demodulation,[],[f1378,f112]) ).
fof(f1523,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,not(X1)),X2))
| is_a_theorem(or(X1,X2)) ),
inference(resolution,[],[f120,f171]) ).
fof(f1542,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(and(X0,X1),X2))
| is_a_theorem(or(X1,X2)) ),
inference(forward_demodulation,[],[f1523,f181]) ).
fof(f1889,plain,
! [X2,X0,X1] : is_a_theorem(or(X0,implies(or(X1,X0),or(X1,X2)))),
inference(resolution,[],[f225,f103]) ).
fof(f4059,plain,
! [X2,X0,X1] : is_a_theorem(or(X0,implies(and(X1,X0),X2))),
inference(resolution,[],[f1542,f217]) ).
fof(f13550,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,or(X0,X2)))),
inference(resolution,[],[f1889,f145]) ).
fof(f13634,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(not(X0),X2),or(X2,implies(X0,X1)))),
inference(superposition,[],[f13550,f99]) ).
fof(f13642,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),or(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f13634,f99]) ).
fof(f13657,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),or(implies(X0,X2),X1))),
inference(resolution,[],[f13642,f204]) ).
fof(f14069,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(and(X0,X1),X2))),
inference(superposition,[],[f13657,f179]) ).
fof(f14097,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(and(X1,X3),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f14069,f198]) ).
fof(f23275,plain,
~ is_a_theorem(implies(implies(sK0,sK1),implies(and(sK2,sK0),and(sK1,sK2)))),
inference(resolution,[],[f213,f117]) ).
fof(f23438,plain,
( ~ is_a_theorem(or(sK0,implies(and(sK2,sK0),and(sK1,sK2))))
| ~ is_a_theorem(implies(sK1,implies(and(sK2,sK0),and(sK1,sK2)))) ),
inference(resolution,[],[f23275,f1381]) ).
fof(f23444,plain,
~ is_a_theorem(implies(sK1,implies(and(sK2,sK0),and(sK1,sK2)))),
inference(forward_subsumption_resolution,[],[f23438,f4059]) ).
fof(f23446,plain,
~ is_a_theorem(implies(sK1,implies(sK2,and(sK1,sK2)))),
inference(resolution,[],[f23444,f14097]) ).
fof(f23450,plain,
$false,
inference(forward_subsumption_resolution,[],[f23446,f304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL501+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 15:51:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 10.52/2.49 % (966840)Detected formulas, will run a generic FOF schedule.
% 10.52/2.49 % (966871)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=3615069780:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.52/2.49 % (966870)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=1658440008:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.52/2.49 % (966872)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2384360859:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.52/2.49 % (966875)dis-21_1_sil=8000:lcm=predicate:random_seed=2748623175: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)
% 10.52/2.49 % (966869)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=3626009126:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.52/2.49 % (966873)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2556256428:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.52/2.49 % (966873)Refutation not found, incomplete strategy
% 10.52/2.49 % (966873)------------------------------
% 10.52/2.49 % (966873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.49 % (966873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.49 % (966873)CaDiCaL version: 2.1.3
% 10.52/2.49 % (966872)Refutation not found, incomplete strategy
% 10.52/2.49 % (966872)------------------------------
% 10.52/2.49 % (966872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.49 % (966873)Termination reason: Refutation not found, incomplete strategy
% 10.52/2.49 % (966873)Time elapsed: 0.001 s
% 10.52/2.49 % (966873)Peak memory usage: 87 MB
% 10.52/2.49 % (966872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.49 % (966872)CaDiCaL version: 2.1.3
% 10.52/2.49 % (966872)Termination reason: Refutation not found, incomplete strategy
% 10.52/2.49 % (966872)Time elapsed: 0.001 s
% 10.52/2.49 % (966872)Peak memory usage: 87 MB
% 10.52/2.49 % (966875)Refutation not found, incomplete strategy
% 10.52/2.49 % (966875)------------------------------
% 10.52/2.49 % (966875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.49 % (966875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.49 % (966875)CaDiCaL version: 2.1.3
% 10.52/2.49 % (966875)Termination reason: Refutation not found, incomplete strategy
% 10.52/2.49 % (966875)Time elapsed: 0.001 s
% 10.52/2.49 % (966875)Peak memory usage: 88 MB
% 10.52/2.49 % (966875)Instructions burned: 1 (million)
% 10.52/2.49 % (966874)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2056798566:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.52/2.49 % (966874)Instruction limit reached!
% 10.52/2.49 % (966874)------------------------------
% 10.52/2.49 % (966874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.49 % (966874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.49 % (966874)CaDiCaL version: 2.1.3
% 10.52/2.49 % (966874)Termination reason: Instruction limit
% 10.52/2.49 % (966874)Termination phase: Saturation
% 10.52/2.49 % (966874)Time elapsed: 0.087 s
% 10.52/2.49 % (966874)Peak memory usage: 90 MB
% 10.52/2.49 % (966874)Instructions burned: 139 (million)
% 10.52/2.49 % (966875)------------------------------
% 10.52/2.49 % (966875)------------------------------
% 10.52/2.49 % (966873)------------------------------
% 10.52/2.49 % (966873)------------------------------
% 10.52/2.49 % (966872)------------------------------
% 10.52/2.49 % (966872)------------------------------
% 10.52/2.49 % (966883)lrs+10_1_sil=8000:sp=occurrence:random_seed=3980138072:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.52/2.49 % (966871)Refutation not found, incomplete strategy
% 10.52/2.49 % (966871)------------------------------
% 10.52/2.49 % (966871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.49 % (966871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.49 % (966871)CaDiCaL version: 2.1.3
% 10.52/2.49 % (966871)Termination reason: Refutation not found, incomplete strategy
% 10.52/2.49 % (966871)Time elapsed: 0.310 s
% 11.76/2.75 % (966871)Peak memory usage: 127 MB
% 11.76/2.75 % (966871)Instructions burned: 824 (million)
% 11.76/2.75 % (966886)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=2737647232:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.76/2.75 % (966884)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2270048587:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 11.76/2.75 % (966885)lrs+1011_1_sil=32000:sp=occurrence:random_seed=244044105:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.76/2.75 % (966885)Refutation not found, incomplete strategy
% 11.76/2.75 % (966885)------------------------------
% 11.76/2.75 % (966885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.75 % (966885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.75 % (966884)Refutation not found, incomplete strategy
% 11.76/2.75 % (966884)------------------------------
% 11.76/2.75 % (966884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.75 % (966885)CaDiCaL version: 2.1.3
% 11.76/2.75 % (966885)Termination reason: Refutation not found, incomplete strategy
% 11.76/2.75 % (966885)Time elapsed: 0.001 s
% 11.76/2.75 % (966884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.75 % (966885)Peak memory usage: 87 MB
% 11.76/2.75 % (966884)CaDiCaL version: 2.1.3
% 11.76/2.75 % (966884)Termination reason: Refutation not found, incomplete strategy
% 11.76/2.75 % (966884)Time elapsed: 0.001 s
% 11.76/2.75 % (966884)Peak memory usage: 87 MB
% 11.76/2.75 % (966871)------------------------------
% 11.76/2.75 % (966871)------------------------------
% 11.76/2.75 % (966883)Instruction limit reached!
% 11.76/2.75 % (966883)------------------------------
% 11.76/2.75 % (966883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.75 % (966883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.75 % (966883)CaDiCaL version: 2.1.3
% 11.76/2.75 % (966883)Termination reason: Instruction limit
% 11.76/2.75 % (966883)Termination phase: Saturation
% 11.76/2.75 % (966883)Time elapsed: 0.161 s
% 11.76/2.75 % (966883)Peak memory usage: 91 MB
% 11.76/2.75 % (966883)Instructions burned: 286 (million)
% 11.76/2.75 % (966892)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3872967765:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.76/2.75 % (966886)Instruction limit reached!
% 11.76/2.75 % (966886)------------------------------
% 11.76/2.75 % (966886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.75 % (966886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.75 % (966886)CaDiCaL version: 2.1.3
% 11.76/2.75 % (966886)Termination reason: Instruction limit
% 11.76/2.75 % (966886)Termination phase: Saturation
% 11.76/2.75 % (966886)Time elapsed: 0.153 s
% 11.76/2.75 % (966886)Peak memory usage: 92 MB
% 11.76/2.75 % (966886)Instructions burned: 248 (million)
% 11.76/2.75 % (966891)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3275760025:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.76/2.75 % (966891)Refutation not found, incomplete strategy
% 11.76/2.75 % (966891)------------------------------
% 11.76/2.75 % (966891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.75 % (966891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.75 % (966891)CaDiCaL version: 2.1.3
% 11.76/2.75 % (966891)Termination reason: Refutation not found, incomplete strategy
% 11.76/2.75 % (966891)Time elapsed: 0.001 s
% 11.76/2.75 % (966891)Peak memory usage: 87 MB
% 11.76/2.75 % (966884)------------------------------
% 11.76/2.75 % (966884)------------------------------
% 11.76/2.75 % (966885)------------------------------
% 11.76/2.75 % (966885)------------------------------
% 11.76/2.75 % (966894)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=467775946:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.76/2.75 % (966894)Refutation not found, incomplete strategy
% 11.76/2.75 % (966894)------------------------------
% 11.76/2.75 % (966894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.75 % (966894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.75 % (966894)CaDiCaL version: 2.1.3
% 11.76/2.75 % (966894)Termination reason: Refutation not found, incomplete strategy
% 12.86/3.03 % (966894)Time elapsed: 0.001 s
% 12.86/3.03 % (966894)Peak memory usage: 88 MB
% 12.86/3.03 % (966897)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3811926874:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.86/3.03 % (966896)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1791570347:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.86/3.03 % (966897)Refutation not found, incomplete strategy
% 12.86/3.03 % (966897)------------------------------
% 12.86/3.03 % (966897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.03 % (966897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.03 % (966897)CaDiCaL version: 2.1.3
% 12.86/3.03 % (966897)Termination reason: Refutation not found, incomplete strategy
% 12.86/3.03 % (966897)Time elapsed: 0.001 s
% 12.86/3.03 % (966897)Peak memory usage: 87 MB
% 12.86/3.03 % (966891)------------------------------
% 12.86/3.03 % (966891)------------------------------
% 12.86/3.03 % (966896)Instruction limit reached!
% 12.86/3.03 % (966896)------------------------------
% 12.86/3.03 % (966896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.03 % (966896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.03 % (966896)CaDiCaL version: 2.1.3
% 12.86/3.03 % (966896)Termination reason: Instruction limit
% 12.86/3.03 % (966896)Termination phase: Saturation
% 12.86/3.03 % (966896)Time elapsed: 0.065 s
% 12.86/3.03 % (966896)Peak memory usage: 88 MB
% 12.86/3.03 % (966896)Instructions burned: 128 (million)
% 12.86/3.03 % (966894)------------------------------
% 12.86/3.03 % (966894)------------------------------
% 12.86/3.03 % (966901)lrs+10_1_sil=8000:sp=occurrence:random_seed=576617797:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 12.86/3.03 % (966902)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3949265120:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 12.86/3.03 % (966902)Refutation not found, incomplete strategy
% 12.86/3.03 % (966902)------------------------------
% 12.86/3.03 % (966902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.03 % (966902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.03 % (966902)CaDiCaL version: 2.1.3
% 12.86/3.03 % (966902)Termination reason: Refutation not found, incomplete strategy
% 12.86/3.03 % (966902)Time elapsed: 0.001 s
% 12.86/3.03 % (966902)Peak memory usage: 88 MB
% 12.86/3.03 % (966897)------------------------------
% 12.86/3.03 % (966897)------------------------------
% 12.86/3.03 % (966903)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=210482208:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.86/3.03 % (966906)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3961513416:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 12.86/3.03 % (966906)Refutation not found, incomplete strategy
% 12.86/3.03 % (966906)------------------------------
% 12.86/3.03 % (966906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.03 % (966906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.03 % (966906)CaDiCaL version: 2.1.3
% 12.86/3.03 % (966906)Termination reason: Refutation not found, incomplete strategy
% 12.86/3.03 % (966906)Time elapsed: 0.001 s
% 12.86/3.03 % (966906)Peak memory usage: 89 MB
% 12.86/3.03 % (966902)------------------------------
% 12.86/3.03 % (966902)------------------------------
% 12.86/3.03 % (966892)Instruction limit reached!
% 12.86/3.03 % (966892)------------------------------
% 12.86/3.03 % (966892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/3.03 % (966892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/3.03 % (966892)CaDiCaL version: 2.1.3
% 12.86/3.03 % (966892)Termination reason: Instruction limit
% 12.86/3.03 % (966892)Termination phase: Saturation
% 12.86/3.03 % (966892)Time elapsed: 0.829 s
% 12.86/3.03 % (966892)Peak memory usage: 142 MB
% 12.86/3.03 % (966892)Instructions burned: 2351 (million)
% 12.86/3.03 % (966906)------------------------------
% 12.86/3.03 % (966906)------------------------------
% 12.86/3.03 % (966909)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4215548099:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 12.86/3.03 % (966909)Refutation not found, incomplete strategy
% 12.86/3.03 % (966909)------------------------------
% 19.12/3.69 % (966909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69 % (966909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (966909)CaDiCaL version: 2.1.3
% 19.12/3.69 % (966909)Termination reason: Refutation not found, incomplete strategy
% 19.12/3.69 % (966909)Time elapsed: 0.001 s
% 19.12/3.69 % (966909)Peak memory usage: 88 MB
% 19.12/3.69 % (966910)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1635110290:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 19.12/3.69 % (966901)Instruction limit reached!
% 19.12/3.69 % (966901)------------------------------
% 19.12/3.69 % (966901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69 % (966901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (966901)CaDiCaL version: 2.1.3
% 19.12/3.69 % (966901)Termination reason: Instruction limit
% 19.12/3.69 % (966901)Termination phase: Saturation
% 19.12/3.69 % (966901)Time elapsed: 0.547 s
% 19.12/3.69 % (966901)Peak memory usage: 102 MB
% 19.12/3.69 % (966901)Instructions burned: 907 (million)
% 19.12/3.69 % (966911)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=3183920108:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 19.12/3.69 % (966911)Refutation not found, incomplete strategy
% 19.12/3.69 % (966911)------------------------------
% 19.12/3.69 % (966911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69 % (966911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (966911)CaDiCaL version: 2.1.3
% 19.12/3.69 % (966911)Termination reason: Refutation not found, incomplete strategy
% 19.12/3.69 % (966911)Time elapsed: 0.002 s
% 19.12/3.69 % (966911)Peak memory usage: 88 MB
% 19.12/3.69 % (966911)Instructions burned: 1 (million)
% 19.12/3.69 % (966909)------------------------------
% 19.12/3.69 % (966909)------------------------------
% 19.12/3.69 [W927 15:51:34.592703603 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.12/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.12/3.69 [W927 15:51:34.592727175 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.12/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.12/3.69 [W927 15:51:34.592747380 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.12/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.12/3.69 [W927 15:51:34.592753330 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.12/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.12/3.69 [W927 15:51:34.592767888 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.12/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.12/3.69 [W927 15:51:34.592774382 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.12/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.12/3.69 [W927 15:51:34.592787526 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 19.12/3.69 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.12/3.69 [W927 15:51:34.592793782 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 25.98/4.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 25.98/4.55 [W927 15:51:34.592807052 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 25.98/4.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 25.98/4.55 [W927 15:51:34.592813763 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 25.98/4.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 25.98/4.55 [W927 15:51:34.592827188 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 25.98/4.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 25.98/4.55 [W927 15:51:34.592832648 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 25.98/4.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 25.98/4.55 % (966914)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3813705220:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 25.98/4.55 % (966914)Instruction limit reached!
% 25.98/4.55 % (966914)------------------------------
% 25.98/4.55 % (966914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966914)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966914)Termination reason: Instruction limit
% 25.98/4.55 % (966914)Termination phase: Saturation
% 25.98/4.55 % (966914)Time elapsed: 0.084 s
% 25.98/4.55 % (966914)Peak memory usage: 89 MB
% 25.98/4.55 % (966914)Instructions burned: 135 (million)
% 25.98/4.55 % (966910)Refutation not found, incomplete strategy
% 25.98/4.55 % (966910)------------------------------
% 25.98/4.55 % (966910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966910)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966910)Termination reason: Refutation not found, incomplete strategy
% 25.98/4.55 % (966910)Time elapsed: 0.317 s
% 25.98/4.55 % (966910)Peak memory usage: 126 MB
% 25.98/4.55 % (966910)Instructions burned: 825 (million)
% 25.98/4.55 % (966911)------------------------------
% 25.98/4.55 % (966911)------------------------------
% 25.98/4.55 % (966916)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1519781375:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 25.98/4.55 % (966916)Refutation not found, incomplete strategy
% 25.98/4.55 % (966916)------------------------------
% 25.98/4.55 % (966916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966916)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966916)Termination reason: Refutation not found, incomplete strategy
% 25.98/4.55 % (966916)Time elapsed: 0.001 s
% 25.98/4.55 % (966916)Peak memory usage: 87 MB
% 25.98/4.55 % (966918)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1254184461:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 25.98/4.55 % (966918)Refutation not found, incomplete strategy
% 25.98/4.55 % (966918)------------------------------
% 25.98/4.55 % (966918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966918)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966918)Termination reason: Refutation not found, incomplete strategy
% 25.98/4.55 % (966918)Time elapsed: 0.001 s
% 25.98/4.55 % (966918)Peak memory usage: 87 MB
% 25.98/4.55 % (966910)------------------------------
% 25.98/4.55 % (966910)------------------------------
% 25.98/4.55 % (966920)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1985835698:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 25.98/4.55 % (966916)------------------------------
% 25.98/4.55 % (966916)------------------------------
% 25.98/4.55 % (966922)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2954965551:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 25.98/4.55 % (966922)Instruction limit reached!
% 25.98/4.55 % (966922)------------------------------
% 25.98/4.55 % (966922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966922)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966922)Termination reason: Instruction limit
% 25.98/4.55 % (966922)Termination phase: Saturation
% 25.98/4.55 % (966922)Time elapsed: 0.052 s
% 25.98/4.55 % (966922)Peak memory usage: 91 MB
% 25.98/4.55 % (966922)Instructions burned: 153 (million)
% 25.98/4.55 % (966918)------------------------------
% 25.98/4.55 % (966918)------------------------------
% 25.98/4.55 % (966924)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3897040165:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 25.98/4.55 % (966926)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=439982764:i=667:av=off:fsr=off_2976 on theBenchmark for (2976ds/667Mi)
% 25.98/4.55 % (966926)Refutation not found, incomplete strategy
% 25.98/4.55 % (966926)------------------------------
% 25.98/4.55 % (966926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966926)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966926)Termination reason: Refutation not found, incomplete strategy
% 25.98/4.55 % (966926)Time elapsed: 0.001 s
% 25.98/4.55 % (966926)Peak memory usage: 88 MB
% 25.98/4.55 % (966926)Instructions burned: 1 (million)
% 25.98/4.55 % (966927)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3138771411:s2a=on:i=185:s2at=1.8:fdi=4_2975 on theBenchmark for (2975ds/185Mi)
% 25.98/4.55 % (966926)------------------------------
% 25.98/4.55 % (966926)------------------------------
% 25.98/4.55 % (966927)Instruction limit reached!
% 25.98/4.55 % (966927)------------------------------
% 25.98/4.55 % (966927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966927)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966927)Termination reason: Instruction limit
% 25.98/4.55 % (966927)Termination phase: Saturation
% 25.98/4.55 % (966927)Time elapsed: 0.098 s
% 25.98/4.55 % (966927)Peak memory usage: 90 MB
% 25.98/4.55 % (966927)Instructions burned: 186 (million)
% 25.98/4.55 % (966931)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2186153362:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2973 on theBenchmark for (2973ds/193Mi)
% 25.98/4.55 % (966931)Refutation not found, incomplete strategy
% 25.98/4.55 % (966931)------------------------------
% 25.98/4.55 % (966931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966931)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966931)Termination reason: Refutation not found, incomplete strategy
% 25.98/4.55 % (966931)Time elapsed: 0.0000 s
% 25.98/4.55 % (966931)Peak memory usage: 87 MB
% 25.98/4.55 % (966932)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=653961243:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2973 on theBenchmark for (2973ds/4850Mi)
% 25.98/4.55 % (966932)Refutation not found, incomplete strategy
% 25.98/4.55 % (966932)------------------------------
% 25.98/4.55 % (966932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966932)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966932)Termination reason: Refutation not found, incomplete strategy
% 25.98/4.55 % (966932)Time elapsed: 0.001 s
% 25.98/4.55 % (966932)Peak memory usage: 88 MB
% 25.98/4.55 % (966932)Instructions burned: 1 (million)
% 25.98/4.55 % (966931)------------------------------
% 25.98/4.55 % (966931)------------------------------
% 25.98/4.55 % (966935)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=897699861:i=12111:sd=1:ss=included_2971 on theBenchmark for (2971ds/12111Mi)
% 25.98/4.55 % (966932)------------------------------
% 25.98/4.55 % (966932)------------------------------
% 25.98/4.55 % (966937)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2896003337:i=319:kws=precedence:fsr=off_2969 on theBenchmark for (2969ds/319Mi)
% 25.98/4.55 % (966869)First to succeed.
% 25.98/4.55 % (966869)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-966840"
% 25.98/4.55 % (966937)Instruction limit reached!
% 25.98/4.55 % (966937)------------------------------
% 25.98/4.55 % (966937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966937)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966937)Termination reason: Instruction limit
% 25.98/4.55 % (966937)Termination phase: Saturation
% 25.98/4.55 % (966937)Time elapsed: 0.207 s
% 25.98/4.55 % (966937)Peak memory usage: 94 MB
% 25.98/4.55 % (966937)Instructions burned: 320 (million)
% 25.98/4.55 % (966939)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3191302347:i=2064:ep=RST_2965 on theBenchmark for (2965ds/2064Mi)
% 25.98/4.55 % (966939)Refutation not found, incomplete strategy
% 25.98/4.55 % (966939)------------------------------
% 25.98/4.55 % (966939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.55 % (966939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.55 % (966939)CaDiCaL version: 2.1.3
% 25.98/4.55 % (966939)Termination reason: Refutation not found, incomplete strategy
% 25.98/4.55 % (966939)Time elapsed: 0.001 s
% 25.98/4.55 % (966939)Peak memory usage: 88 MB
% 25.98/4.55 % (966939)Instructions burned: 1 (million)
% 25.98/4.55 % (966869)Refutation found. Thanks to Tanya!
% 25.98/4.55 % SZS status Theorem for theBenchmark
% 25.98/4.55 % SZS output start Proof for theBenchmark
% See solution above
% 26.64/4.75 % (966869)------------------------------
% 26.64/4.75 % (966869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.64/4.75 % (966869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.64/4.75 % (966869)CaDiCaL version: 2.1.3
% 26.64/4.75 % (966869)Termination reason: Refutation
% 26.64/4.75 % (966869)Time elapsed: 3.248 s
% 26.64/4.75 % (966869)Peak memory usage: 164 MB
% 26.64/4.75 % (966869)Instructions burned: 5146 (million)
% 26.64/4.75 % (966869)------------------------------
% 26.64/4.75 % (966869)------------------------------
% 26.64/4.75 % (966840)Success in time 3.69 s
% 26.64/4.75 % Vampire exiting
%------------------------------------------------------------------------------