TSTP Solution File: LCL541+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL541+1 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:26:47 EDT 2024
% Result : Theorem 3.21s 0.80s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of formulae : 142 ( 76 unt; 0 def)
% Number of atoms : 231 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 155 ( 66 ~; 57 |; 2 &)
% ( 10 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 15 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 187 ( 185 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3544,plain,
$false,
inference(resolution,[],[f2436,f2702]) ).
fof(f2702,plain,
~ is_a_theorem(implies(implies(sK1,not(sK0)),implies(sK0,not(sK1)))),
inference(forward_demodulation,[],[f2645,f2431]) ).
fof(f2431,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X1,X0)),
inference(forward_demodulation,[],[f2376,f890]) ).
fof(f890,plain,
! [X0] : and(X0,X0) = X0,
inference(subsumption_resolution,[],[f888,f234]) ).
fof(f234,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
inference(subsumption_resolution,[],[f203,f173]) ).
fof(f173,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f203,plain,
! [X0,X1] :
( ~ and_1
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f888,plain,
! [X0] :
( and(X0,X0) = X0
| ~ is_a_theorem(implies(and(X0,X0),X0)) ),
inference(resolution,[],[f793,f681]) ).
fof(f681,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| X0 = X1
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f280,f302]) ).
fof(f302,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),
inference(superposition,[],[f249,f301]) ).
fof(f301,plain,
! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(subsumption_resolution,[],[f194,f185]) ).
fof(f185,plain,
op_equiv,
inference(cnf_transformation,[],[f87]) ).
fof(f87,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f194,plain,
! [X0,X1] :
( ~ op_equiv
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f249,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(subsumption_resolution,[],[f205,f171]) ).
fof(f171,plain,
and_3,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f205,plain,
! [X0,X1] :
( ~ and_3
| is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
( and_3
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(X0,equiv(X1,X2))))
| X1 = X2
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f253,f252]) ).
fof(f252,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(subsumption_resolution,[],[f213,f178]) ).
fof(f178,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f213,plain,
! [X0,X1] :
( ~ modus_ponens
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) )
| ~ modus_ponens ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,equiv(X1,X2)))
| ~ is_a_theorem(X0)
| X1 = X2 ),
inference(resolution,[],[f252,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(subsumption_resolution,[],[f212,f165]) ).
fof(f165,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f212,plain,
! [X0,X1] :
( ~ substitution_of_equivalents
| ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f793,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(superposition,[],[f249,f741]) ).
fof(f741,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(X0,X1)),
inference(subsumption_resolution,[],[f702,f233]) ).
fof(f233,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(subsumption_resolution,[],[f202,f176]) ).
fof(f176,plain,
implies_1,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f202,plain,
! [X0,X1] :
( ~ implies_1
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
( implies_1
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
( implies_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f702,plain,
! [X0,X1] :
( implies(X0,X1) = implies(X0,implies(X0,X1))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X0,X1)))) ),
inference(resolution,[],[f681,f275]) ).
fof(f275,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(subsumption_resolution,[],[f209,f175]) ).
fof(f175,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f209,plain,
! [X0,X1] :
( ~ implies_2
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,plain,
( implies_2
=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f5,axiom,
( implies_2
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2376,plain,
! [X0,X1] : implies(X1,and(not(X0),not(X0))) = not(and(X1,X0)),
inference(superposition,[],[f256,f2264]) ).
fof(f2264,plain,
! [X0] : implies(not(X0),X0) = X0,
inference(backward_demodulation,[],[f910,f2236]) ).
fof(f2236,plain,
! [X0] : not(not(X0)) = X0,
inference(resolution,[],[f2208,f1549]) ).
fof(f1549,plain,
! [X0] :
( ~ is_a_theorem(implies(not(not(X0)),X0))
| not(not(X0)) = X0 ),
inference(superposition,[],[f695,f910]) ).
fof(f695,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X1))
| implies(X0,X1) = X1 ),
inference(resolution,[],[f681,f233]) ).
fof(f2208,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(forward_demodulation,[],[f2207,f741]) ).
fof(f2207,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),implies(not(not(X0)),X0))),
inference(forward_demodulation,[],[f2163,f254]) ).
fof(f254,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(subsumption_resolution,[],[f190,f181]) ).
fof(f181,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f190,plain,
! [X0,X1] :
( ~ op_implies_and
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2163,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),not(and(not(not(X0)),not(X0))))),
inference(superposition,[],[f332,f1889]) ).
fof(f1889,plain,
! [X0] : not(X0) = implies(not(not(X0)),not(X0)),
inference(superposition,[],[f1027,f1850]) ).
fof(f1850,plain,
! [X0] : not(X0) = not(not(not(X0))),
inference(resolution,[],[f1703,f1549]) ).
fof(f1703,plain,
! [X0] : is_a_theorem(implies(not(not(not(X0))),not(X0))),
inference(superposition,[],[f791,f1327]) ).
fof(f1327,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X1,not(not(not(X0)))),
inference(forward_demodulation,[],[f1283,f254]) ).
fof(f1283,plain,
! [X0,X1] : not(and(X1,not(not(X0)))) = implies(X1,not(not(not(X0)))),
inference(superposition,[],[f254,f1267]) ).
fof(f1267,plain,
! [X0] : not(not(X0)) = not(not(not(not(X0)))),
inference(subsumption_resolution,[],[f1264,f985]) ).
fof(f985,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[],[f263,f910]) ).
fof(f263,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(backward_demodulation,[],[f232,f261]) ).
fof(f261,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f260,f254]) ).
fof(f260,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(subsumption_resolution,[],[f193,f183]) ).
fof(f183,plain,
op_or,
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f193,plain,
! [X0,X1] :
( ~ op_or
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f232,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(subsumption_resolution,[],[f201,f170]) ).
fof(f170,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f201,plain,
! [X0,X1] :
( ~ or_1
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
( or_1
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1264,plain,
! [X0] :
( not(not(X0)) = not(not(not(not(X0))))
| ~ is_a_theorem(implies(not(not(X0)),not(not(not(not(X0)))))) ),
inference(resolution,[],[f1156,f681]) ).
fof(f1156,plain,
! [X0] : is_a_theorem(implies(not(not(not(not(X0)))),not(not(X0)))),
inference(superposition,[],[f987,f1027]) ).
fof(f987,plain,
! [X0] : is_a_theorem(implies(not(not(not(X0))),implies(X0,not(X0)))),
inference(superposition,[],[f270,f910]) ).
fof(f270,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))),
inference(subsumption_resolution,[],[f208,f177]) ).
fof(f177,plain,
modus_tollens,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f208,plain,
! [X0,X1] :
( ~ modus_tollens
| is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
| ~ modus_tollens ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
( modus_tollens
=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f3,axiom,
( modus_tollens
<=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f791,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(superposition,[],[f233,f741]) ).
fof(f1027,plain,
! [X0] : not(not(X0)) = implies(not(X0),not(not(X0))),
inference(superposition,[],[f741,f910]) ).
fof(f332,plain,
! [X0,X1] : is_a_theorem(implies(X1,not(and(not(X0),implies(X1,X0))))),
inference(superposition,[],[f249,f256]) ).
fof(f910,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f254,f890]) ).
fof(f256,plain,
! [X2,X0,X1] : implies(X2,and(X0,not(X1))) = not(and(X2,implies(X0,X1))),
inference(superposition,[],[f254,f254]) ).
fof(f2645,plain,
~ is_a_theorem(implies(not(and(sK1,sK0)),implies(sK0,not(sK1)))),
inference(backward_demodulation,[],[f406,f2431]) ).
fof(f406,plain,
~ is_a_theorem(implies(not(and(sK1,sK0)),not(and(sK0,sK1)))),
inference(resolution,[],[f285,f270]) ).
fof(f285,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(and(sK0,sK1),and(sK1,sK0))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f273,f252]) ).
fof(f273,plain,
~ is_a_theorem(implies(and(sK0,sK1),and(sK1,sK0))),
inference(resolution,[],[f269,f228]) ).
fof(f228,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ),
inference(subsumption_resolution,[],[f199,f164]) ).
fof(f164,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f199,plain,
! [X0] :
( ~ necessitation
| ~ is_a_theorem(X0)
| is_a_theorem(necessarily(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f269,plain,
~ is_a_theorem(necessarily(implies(and(sK0,sK1),and(sK1,sK0)))),
inference(resolution,[],[f159,f245]) ).
fof(f245,plain,
( axiom_m1
| ~ is_a_theorem(necessarily(implies(and(sK0,sK1),and(sK1,sK0)))) ),
inference(backward_demodulation,[],[f195,f244]) ).
fof(f244,plain,
! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
inference(subsumption_resolution,[],[f189,f182]) ).
fof(f182,plain,
op_strict_implies,
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f189,plain,
! [X0,X1] :
( ~ op_strict_implies
| strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f195,plain,
( axiom_m1
| ~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0))) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( axiom_m1
| ? [X0,X1] : ~ is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
=> axiom_m1 ),
inference(unused_predicate_definition_removal,[],[f63]) ).
fof(f63,axiom,
( axiom_m1
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f159,plain,
~ axiom_m1,
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
~ axiom_m1,
inference(flattening,[],[f90]) ).
fof(f90,negated_conjecture,
~ axiom_m1,
inference(negated_conjecture,[],[f89]) ).
fof(f89,conjecture,
axiom_m1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2436,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(forward_demodulation,[],[f2380,f890]) ).
fof(f2380,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,and(not(X0),not(X0))))),
inference(superposition,[],[f271,f2264]) ).
fof(f271,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1))))),
inference(superposition,[],[f270,f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : LCL541+1 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.10/0.10 % Command : run_vampire %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Jun 22 11:58:24 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.16/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.32 Running first-order theorem proving
% 0.16/0.32 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.36 % (3900)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.16/0.36 % (3900)Refutation not found, incomplete strategy% (3900)------------------------------
% 0.16/0.36 % (3900)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.36 % (3900)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.36 % (3900)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.36
% 0.16/0.36 % (3900)Memory used [KB]: 1189
% 0.16/0.36 % (3900)Time elapsed: 0.001 s
% 0.16/0.36 % (3900)Instructions burned: 1 (million)
% 0.16/0.36 % (3900)------------------------------
% 0.16/0.36 % (3900)------------------------------
% 0.16/0.36 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.36 % (3898)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.16/0.37 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (3901)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.16/0.37 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (3902)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.16/0.37 % (3902)Refutation not found, incomplete strategy% (3902)------------------------------
% 0.16/0.37 % (3902)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.37 % (3902)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.37 % (3902)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.37
% 0.16/0.37 % (3902)Memory used [KB]: 1190
% 0.16/0.37 % (3902)Time elapsed: 0.002 s
% 0.16/0.37 % (3902)Instructions burned: 2 (million)
% 0.16/0.37 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (3903)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.16/0.37 % (3902)------------------------------
% 0.16/0.37 % (3902)------------------------------
% 0.16/0.37 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (3897)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.16/0.38 % (3903)Refutation not found, incomplete strategy% (3903)------------------------------
% 0.16/0.38 % (3903)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.38 % (3903)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.38 % (3903)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38
% 0.16/0.38 % (3903)Memory used [KB]: 1210
% 0.16/0.38 % (3903)Time elapsed: 0.003 s
% 0.16/0.38 % (3903)Instructions burned: 5 (million)
% 0.16/0.38 % (3903)------------------------------
% 0.16/0.38 % (3903)------------------------------
% 0.16/0.38 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (3899)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.16/0.39 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (3904)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2999ds/123Mi)
% 0.16/0.39 % (3904)Refutation not found, incomplete strategy% (3904)------------------------------
% 0.16/0.39 % (3904)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.39 % (3904)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.39 % (3904)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39 % (3904)Memory used [KB]: 1190
% 0.16/0.39 % (3904)Time elapsed: 0.002 s
% 0.16/0.39 % (3904)Instructions burned: 2 (million)
% 0.16/0.39 % (3904)------------------------------
% 0.16/0.39 % (3904)------------------------------
% 0.18/0.41 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (3905)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2999ds/205Mi)
% 0.18/0.41 % (3905)Refutation not found, incomplete strategy% (3905)------------------------------
% 0.18/0.41 % (3905)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.41 % (3905)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.41 % (3905)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.41
% 0.18/0.41 % (3905)Memory used [KB]: 1189
% 0.18/0.41 % (3905)Time elapsed: 0.001 s
% 0.18/0.41 % (3905)Instructions burned: 1 (million)
% 0.18/0.41 % (3905)------------------------------
% 0.18/0.41 % (3905)------------------------------
% 0.18/0.41 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (3906)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2999ds/180Mi)
% 0.18/0.41 % (3901)Instruction limit reached!
% 0.18/0.41 % (3901)------------------------------
% 0.18/0.41 % (3901)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.41 % (3901)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.41 % (3901)Termination reason: Time limit
% 0.18/0.41 % (3901)Termination phase: Saturation
% 0.18/0.41
% 0.18/0.41 % (3901)Memory used [KB]: 3033
% 0.18/0.41 % (3901)Time elapsed: 0.044 s
% 0.18/0.41 % (3901)Instructions burned: 121 (million)
% 0.18/0.42 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.42 % (3907)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2999ds/143Mi)
% 0.18/0.43 % (3907)Refutation not found, incomplete strategy% (3907)------------------------------
% 0.18/0.43 % (3907)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.43 % (3907)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.43 % (3907)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.43
% 0.18/0.43 % (3907)Memory used [KB]: 1188
% 0.18/0.43 % (3907)Time elapsed: 0.001 s
% 0.18/0.43 % (3907)Instructions burned: 2 (million)
% 0.18/0.43 % (3907)------------------------------
% 0.18/0.43 % (3907)------------------------------
% 0.18/0.45 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.45 % (3908)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2999ds/113Mi)
% 0.18/0.45 % (3908)Refutation not found, incomplete strategy% (3908)------------------------------
% 0.18/0.45 % (3908)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.45 % (3908)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.45 % (3908)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.45
% 0.18/0.45 % (3908)Memory used [KB]: 1212
% 0.18/0.45 % (3908)Time elapsed: 0.002 s
% 0.18/0.45 % (3908)Instructions burned: 3 (million)
% 0.18/0.45 % (3908)------------------------------
% 0.18/0.45 % (3908)------------------------------
% 0.18/0.45 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.45 % (3909)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2999ds/113Mi)
% 0.18/0.46 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.46 % (3910)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2999ds/114Mi)
% 0.18/0.46 % (3910)Refutation not found, incomplete strategy% (3910)------------------------------
% 0.18/0.46 % (3910)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.46 % (3910)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.46 % (3910)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.46
% 0.18/0.46 % (3910)Memory used [KB]: 1218
% 0.18/0.46 % (3910)Time elapsed: 0.002 s
% 0.18/0.46 % (3910)Instructions burned: 5 (million)
% 0.18/0.46 % (3910)------------------------------
% 0.18/0.46 % (3910)------------------------------
% 0.18/0.48 % (3906)Instruction limit reached!
% 0.18/0.48 % (3906)------------------------------
% 0.18/0.48 % (3906)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.48 % (3906)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.48 % (3906)Termination reason: Time limit
% 0.18/0.48 % (3906)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (3906)Memory used [KB]: 4032
% 0.18/0.48 % (3906)Time elapsed: 0.068 s
% 0.18/0.48 % (3906)Instructions burned: 181 (million)
% 0.18/0.48 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.48 % (3911)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2998ds/253Mi)
% 0.18/0.49 % (3909)Instruction limit reached!
% 0.18/0.49 % (3909)------------------------------
% 0.18/0.49 % (3909)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.49 % (3909)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.49 % (3909)Termination reason: Time limit
% 0.18/0.49 % (3909)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (3909)Memory used [KB]: 2495
% 0.18/0.49 % (3909)Time elapsed: 0.039 s
% 0.18/0.49 % (3909)Instructions burned: 115 (million)
% 0.18/0.49 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.49 % (3912)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=150:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2998ds/150Mi)
% 0.18/0.49 % (3912)Refutation not found, incomplete strategy% (3912)------------------------------
% 0.18/0.49 % (3912)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.49 % (3912)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.49 % (3912)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49
% 0.18/0.49 % (3912)Memory used [KB]: 1196
% 0.18/0.49 % (3912)Time elapsed: 0.001 s
% 0.18/0.49 % (3912)Instructions burned: 2 (million)
% 0.18/0.49 % (3912)------------------------------
% 0.18/0.49 % (3912)------------------------------
% 0.18/0.51 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.51 % (3913)lrs+1010_1:1_tgt=ground:fde=unused:sp=const_frequency:nwc=5.0:sac=on:avsq=on:i=196:avsqr=1,8:fsd=on:sil=64000:gs=on:rnwc=on_0 on theBenchmark for (2998ds/196Mi)
% 0.18/0.52 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.52 % (3914)lrs+1002_1:1_sil=4000:i=107:sd=2:ep=RS:av=off:ss=axioms:sos=on:erd=off_0 on theBenchmark for (2998ds/107Mi)
% 0.18/0.52 % (3914)Refutation not found, incomplete strategy% (3914)------------------------------
% 0.18/0.52 % (3914)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.52 % (3914)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.52 % (3914)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (3914)Memory used [KB]: 1189
% 0.18/0.52 % (3914)Time elapsed: 0.002 s
% 0.18/0.52 % (3914)Instructions burned: 1 (million)
% 0.18/0.52 % (3914)------------------------------
% 0.18/0.52 % (3914)------------------------------
% 0.18/0.52 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.52 % (3915)lrs+10_1:1024_sil=2000:st=2.0:i=107:sd=2:ss=included:ep=R_0 on theBenchmark for (2998ds/107Mi)
% 0.18/0.52 % (3915)Refutation not found, incomplete strategy% (3915)------------------------------
% 0.18/0.52 % (3915)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.52 % (3915)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.52 % (3915)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (3915)Memory used [KB]: 1196
% 0.18/0.52 % (3915)Time elapsed: 0.001 s
% 0.18/0.52 % (3915)Instructions burned: 2 (million)
% 0.18/0.52 % (3915)------------------------------
% 0.18/0.52 % (3915)------------------------------
% 0.18/0.56 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.56 % (3916)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=147:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2998ds/147Mi)
% 0.18/0.56 % (3896)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.56 % (3917)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=116:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2998ds/116Mi)
% 0.18/0.56 % (3916)Refutation not found, incomplete strategy% (3916)------------------------------
% 0.18/0.56 % (3916)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.56 % (3916)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.56 % (3916)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.56
% 0.18/0.56 % (3916)Memory used [KB]: 1190
% 0.18/0.56 % (3916)Time elapsed: 0.003 s
% 0.18/0.56 % (3916)Instructions burned: 2 (million)
% 0.18/0.56 % (3917)Refutation not found, incomplete strategy% (3917)------------------------------
% 0.18/0.56 % (3917)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.56 % (3916)------------------------------
% 0.18/0.56 % (3916)------------------------------
% 0.18/0.56 % (3917)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.56 % (3917)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.56
% 0.18/0.56 % (3917)Memory used [KB]: 1193
% 0.18/0.56 % (3917)Time elapsed: 0.003 s
% 0.18/0.56 % (3917)Instructions burned: 3 (million)
% 0.18/0.56 % (3917)------------------------------
% 0.18/0.56 % (3917)------------------------------
% 0.18/0.56 % (3911)Instruction limit reached!
% 0.18/0.56 % (3911)------------------------------
% 0.18/0.56 % (3911)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.56 % (3911)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.56 % (3911)Termination reason: Time limit
% 0.18/0.56 % (3911)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (3911)Memory used [KB]: 4836
% 0.18/0.56 % (3911)Time elapsed: 0.084 s
% 0.18/0.56 % (3911)Instructions burned: 253 (million)
% 0.18/0.59 % (3913)Instruction limit reached!
% 0.18/0.59 % (3913)------------------------------
% 0.18/0.59 % (3913)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.59 % (3913)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.59 % (3913)Termination reason: Time limit
% 0.18/0.59 % (3913)Termination phase: Saturation
% 0.18/0.59
% 0.18/0.59 % (3913)Memory used [KB]: 3770
% 0.18/0.59 % (3913)Time elapsed: 0.094 s
% 0.18/0.59 % (3913)Instructions burned: 198 (million)
% 1.90/0.59 % (3896)Running in auto input_syntax mode. Trying TPTP
% 1.90/0.59 % (3919)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=135:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2997ds/135Mi)
% 1.90/0.59 % (3919)Refutation not found, incomplete strategy% (3919)------------------------------
% 1.90/0.59 % (3919)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.90/0.59 % (3919)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.90/0.59 % (3919)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.59
% 1.90/0.59 % (3919)Memory used [KB]: 1191
% 1.90/0.59 % (3919)Time elapsed: 0.002 s
% 1.90/0.59 % (3919)Instructions burned: 2 (million)
% 1.90/0.59 % (3919)------------------------------
% 1.90/0.59 % (3919)------------------------------
% 1.90/0.59 % (3896)Running in auto input_syntax mode. Trying TPTP
% 1.90/0.59 % (3918)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=304:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2997ds/304Mi)
% 1.90/0.59 % (3918)Refutation not found, incomplete strategy% (3918)------------------------------
% 1.90/0.59 % (3918)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.90/0.59 % (3918)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.90/0.59 % (3918)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.59
% 1.90/0.59 % (3918)Memory used [KB]: 1190
% 1.90/0.59 % (3918)Time elapsed: 0.002 s
% 1.90/0.59 % (3918)Instructions burned: 2 (million)
% 1.90/0.59 % (3918)------------------------------
% 1.90/0.59 % (3918)------------------------------
% 1.90/0.60 % (3896)Running in auto input_syntax mode. Trying TPTP
% 1.90/0.60 WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 1.90/0.60 % (3920)dis+1010_1:1_sil=2000:urr=on:lcm=predicate:i=261:ile=on:gs=on:br=off_0 on theBenchmark for (2997ds/261Mi)
% 2.02/0.62 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.62 % (3922)dis+1011_5:1_sil=2000:fde=unused:nwc=10.0:i=118:ep=R:fs=off:fsr=off:awrs=converge_0 on theBenchmark for (2997ds/118Mi)
% 2.02/0.62 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.62 % (3921)lrs+21_1:1_to=lpo:sil=2000:sp=const_min:st=3.0:i=109:sd=1:erml=4:ss=axioms:er=filter:alpa=true:amm=sco:bd=off_0 on theBenchmark for (2997ds/109Mi)
% 2.02/0.62 % (3921)Refutation not found, incomplete strategy% (3921)------------------------------
% 2.02/0.62 % (3921)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.02/0.62 % (3921)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.02/0.62 % (3921)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.62
% 2.02/0.62 % (3921)Memory used [KB]: 1190
% 2.02/0.62 % (3921)Time elapsed: 0.001 s
% 2.02/0.62 % (3921)Instructions burned: 2 (million)
% 2.10/0.62 % (3921)------------------------------
% 2.10/0.62 % (3921)------------------------------
% 2.10/0.63 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.63 % (3923)lrs-21_1:1_sil=4000:sos=on:lcm=predicate:i=109:sd=2:ss=axioms_0 on theBenchmark for (2997ds/109Mi)
% 2.10/0.63 % (3923)Refutation not found, incomplete strategy% (3923)------------------------------
% 2.10/0.63 % (3923)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.63 % (3923)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.63 % (3923)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.63
% 2.10/0.63 % (3923)Memory used [KB]: 1189
% 2.10/0.63 % (3923)Time elapsed: 0.001 s
% 2.10/0.63 % (3923)Instructions burned: 1 (million)
% 2.10/0.63 % (3923)------------------------------
% 2.10/0.63 % (3923)------------------------------
% 2.10/0.66 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.66 % (3924)lrs+32_1:128_drc=off:sil=2000:tgt=ground:flr=on:i=119:fsr=off_0 on theBenchmark for (2996ds/119Mi)
% 2.10/0.66 % (3922)Instruction limit reached!
% 2.10/0.66 % (3922)------------------------------
% 2.10/0.66 % (3922)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.66 % (3922)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.66 % (3922)Termination reason: Time limit
% 2.10/0.66 % (3922)Termination phase: Saturation
% 2.10/0.66
% 2.10/0.66 % (3922)Memory used [KB]: 3216
% 2.10/0.66 % (3922)Time elapsed: 0.039 s
% 2.10/0.66 % (3922)Instructions burned: 120 (million)
% 2.10/0.66 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.66 % (3925)dis+1002_1:1_sil=2000:sos=on:sac=on:st=5.0:i=213:ss=axioms_0 on theBenchmark for (2996ds/213Mi)
% 2.10/0.66 % (3925)Refutation not found, incomplete strategy% (3925)------------------------------
% 2.10/0.66 % (3925)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.66 % (3925)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.66 % (3925)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.66
% 2.10/0.66 % (3925)Memory used [KB]: 1189
% 2.10/0.66 % (3925)Time elapsed: 0.001 s
% 2.10/0.66 % (3925)Instructions burned: 2 (million)
% 2.10/0.66 % (3925)------------------------------
% 2.10/0.66 % (3925)------------------------------
% 2.10/0.68 % (3920)Instruction limit reached!
% 2.10/0.68 % (3920)------------------------------
% 2.10/0.68 % (3920)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.68 % (3920)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.68 % (3920)Termination reason: Time limit
% 2.10/0.68 % (3920)Termination phase: Saturation
% 2.10/0.68
% 2.10/0.68 % (3920)Memory used [KB]: 4330
% 2.10/0.68 % (3920)Time elapsed: 0.081 s
% 2.10/0.68 % (3920)Instructions burned: 261 (million)
% 2.10/0.69 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.69 % (3926)dis+10_78677:524288_anc=all_dependent:sil=4000:irw=on:fde=unused:plsq=on:plsqr=4929279,131072:etr=on:sp=const_max:sos=all:spb=goal_then_units:lcm=predicate:fd=off:nwc=6.051592140664891:i=126:sd=3:kws=inv_arity_squared:afp=40000:bd=off:nm=6:afq=1.82720764930041:ss=axioms:rawr=on:bsr=on:newcnf=on:bs=unit_only:abs=on:ins=4:gsp=on:rnwc=on:awrs=decay:awrsf=179:s2a=on:s2agt=10:s2at=4.0:st=5.0:foolp=on:afr=on_0 on theBenchmark for (2996ds/126Mi)
% 2.10/0.69 % (3926)Refutation not found, incomplete strategy% (3926)------------------------------
% 2.10/0.69 % (3926)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.69 % (3926)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.69 % (3926)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.69
% 2.10/0.69 % (3926)Memory used [KB]: 1191
% 2.10/0.69 % (3926)Time elapsed: 0.002 s
% 2.10/0.69 % (3926)Instructions burned: 2 (million)
% 2.10/0.69 % (3926)------------------------------
% 2.10/0.69 % (3926)------------------------------
% 2.10/0.70 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.70 % (3927)dis+1011_1:20_sil=2000:tgt=full:fde=unused:sos=on:i=301:kws=inv_arity_squared:aac=none_0 on theBenchmark for (2996ds/301Mi)
% 2.10/0.70 % (3924)Instruction limit reached!
% 2.10/0.70 % (3924)------------------------------
% 2.10/0.70 % (3924)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.70 % (3924)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.70 % (3924)Termination reason: Time limit
% 2.10/0.70 % (3924)Termination phase: Saturation
% 2.10/0.70
% 2.10/0.70 % (3924)Memory used [KB]: 3660
% 2.10/0.70 % (3924)Time elapsed: 0.045 s
% 2.10/0.70 % (3924)Instructions burned: 120 (million)
% 2.10/0.70 % (3927)Refutation not found, incomplete strategy% (3927)------------------------------
% 2.10/0.70 % (3927)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.70 % (3927)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.70 % (3927)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.70
% 2.10/0.70 % (3927)Memory used [KB]: 1229
% 2.10/0.70 % (3927)Time elapsed: 0.003 s
% 2.10/0.70 % (3927)Instructions burned: 5 (million)
% 2.10/0.70 % (3927)------------------------------
% 2.10/0.70 % (3927)------------------------------
% 2.10/0.71 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.71 % (3928)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=115:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2996ds/115Mi)
% 2.75/0.72 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.72 % (3929)dis+1011_5:2_to=lpo:sil=8000:tgt=ground:plsq=on:plsqr=65749,1048576:spb=goal:nwc=10.0:newcnf=on:i=335:rawr=on:av=off:nm=5:awrs=converge:awrsf=340:bsd=on:s2a=on:fdi=1_0 on theBenchmark for (2996ds/335Mi)
% 2.75/0.73 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.73 % (3931)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=120:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2996ds/120Mi)
% 2.75/0.75 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.75 % (3930)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=484:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/484Mi)
% 2.75/0.75 % (3930)Refutation not found, incomplete strategy% (3930)------------------------------
% 2.75/0.75 % (3930)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.75 % (3930)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.75 % (3930)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.75
% 2.75/0.75 % (3930)Memory used [KB]: 1190
% 2.75/0.75 % (3930)Time elapsed: 0.002 s
% 2.75/0.75 % (3930)Instructions burned: 2 (million)
% 2.75/0.75 % (3930)------------------------------
% 2.75/0.75 % (3930)------------------------------
% 2.75/0.75 % (3928)Instruction limit reached!
% 2.75/0.75 % (3928)------------------------------
% 2.75/0.75 % (3928)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.75 % (3928)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.75 % (3928)Termination reason: Time limit
% 2.75/0.75 % (3928)Termination phase: Saturation
% 2.75/0.75
% 2.75/0.75 % (3928)Memory used [KB]: 2212
% 2.75/0.75 % (3928)Time elapsed: 0.037 s
% 2.75/0.75 % (3928)Instructions burned: 115 (million)
% 2.75/0.77 % (3931)Instruction limit reached!
% 2.75/0.77 % (3931)------------------------------
% 2.75/0.77 % (3931)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.77 % (3931)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.77 % (3931)Termination reason: Time limit
% 2.75/0.77 % (3931)Termination phase: Saturation
% 2.75/0.77
% 2.75/0.77 % (3931)Memory used [KB]: 2868
% 2.75/0.77 % (3931)Time elapsed: 0.040 s
% 2.75/0.77 % (3931)Instructions burned: 121 (million)
% 2.75/0.78 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.78 % (3933)dis+1010_3:1_sil=4000:bce=on:s2agt=15:st=5.0:s2a=on:i=168:sd=1:ep=RS:ss=axioms:plsq=on:plsqc=1:plsqr=24176865,524288:fsr=off_0 on theBenchmark for (2995ds/168Mi)
% 2.75/0.78 % (3933)Refutation not found, incomplete strategy% (3933)------------------------------
% 2.75/0.78 % (3933)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.78 % (3933)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.78 % (3933)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.78
% 2.75/0.78 % (3933)Memory used [KB]: 1190
% 2.75/0.78 % (3933)Time elapsed: 0.001 s
% 2.75/0.78 % (3933)Instructions burned: 2 (million)
% 2.75/0.78 % (3933)------------------------------
% 2.75/0.78 % (3933)------------------------------
% 2.75/0.78 % (3896)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.78 % (3932)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=141:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/141Mi)
% 2.75/0.79 % (3932)Refutation not found, incomplete strategy% (3932)------------------------------
% 2.75/0.79 % (3932)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.79 % (3932)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.79 % (3932)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.79
% 2.75/0.79 % (3932)Memory used [KB]: 1224
% 2.75/0.79 % (3932)Time elapsed: 0.004 s
% 2.75/0.79 % (3932)Instructions burned: 6 (million)
% 3.21/0.79 % (3932)------------------------------
% 3.21/0.79 % (3932)------------------------------
% 3.21/0.80 % (3929)First to succeed.
% 3.21/0.80 % (3929)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3896"
% 3.21/0.80 % (3896)Running in auto input_syntax mode. Trying TPTP
% 3.21/0.80 % (3929)Refutation found. Thanks to Tanya!
% 3.21/0.80 % SZS status Theorem for theBenchmark
% 3.21/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 3.21/0.80 % (3929)------------------------------
% 3.21/0.80 % (3929)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.21/0.80 % (3929)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.21/0.80 % (3929)Termination reason: Refutation
% 3.21/0.80
% 3.21/0.80 % (3929)Memory used [KB]: 3134
% 3.21/0.80 % (3929)Time elapsed: 0.073 s
% 3.21/0.80 % (3929)Instructions burned: 215 (million)
% 3.21/0.80 % (3929)------------------------------
% 3.21/0.80 % (3929)------------------------------
% 3.21/0.80 % (3896)Success in time 0.47 s
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