%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL462+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 : n005.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 11:52:31 AM UTC 2026
% Result : Theorem 8.34s 2.09s
% Output : Refutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 15
% Syntax : Number of formulae : 99 ( 33 unt; 1 def)
% Number of atoms : 205 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 202 ( 96 ~; 89 |; 2 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 190 ( 0 sgn 188 !; 2 ?)
% 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(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',modus_tollens) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn3) ).
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(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(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3) ).
fof(f40,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f43,conjecture,
modus_tollens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_tollens) ).
fof(f44,negated_conjecture,
~ modus_tollens,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ modus_tollens,
inference(flattening,[],[f44]) ).
fof(f46,plain,
( cn3
=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f47,plain,
( cn2
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f48,plain,
( cn1
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f49,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
=> modus_tollens ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f51,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(f55,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f51]) ).
fof(f56,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f55]) ).
fof(f58,plain,
( modus_tollens
| ? [X0,X1] : ~ is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f60,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(ennf_transformation,[],[f47]) ).
fof(f61,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(ennf_transformation,[],[f46]) ).
fof(f62,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f63,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
( modus_tollens
| ~ is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f58]) ).
fof(f66,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f56]) ).
fof(f68,plain,
( modus_tollens
| ~ is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f69,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f71,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f72,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f62]) ).
fof(f73,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f63]) ).
fof(f77,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f78,plain,
cn1,
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
cn2,
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
cn3,
inference(cnf_transformation,[],[f38]) ).
fof(f82,plain,
op_or,
inference(cnf_transformation,[],[f40]) ).
fof(f83,plain,
op_implies_and,
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
~ modus_tollens,
inference(cnf_transformation,[],[f45]) ).
fof(f87,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f73,f83]) ).
fof(f88,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f72,f82]) ).
fof(f89,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(forward_subsumption_resolution,[],[f71,f80]) ).
fof(f90,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(forward_subsumption_resolution,[],[f70,f79]) ).
fof(f91,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(forward_subsumption_resolution,[],[f69,f78]) ).
fof(f92,plain,
~ is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1))),
inference(forward_subsumption_resolution,[],[f68,f85]) ).
fof(f94,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f66,f77]) ).
fof(f95,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f88,f87]) ).
fof(f100,plain,
~ is_a_theorem(implies(or(sK1,not(sK0)),implies(sK0,sK1))),
inference(superposition,[],[f92,f95]) ).
fof(f101,plain,
! [X0] : is_a_theorem(implies(or(X0,X0),X0)),
inference(superposition,[],[f89,f95]) ).
fof(f102,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(superposition,[],[f90,f95]) ).
fof(f111,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f94,f91]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f111,f94]) ).
fof(f121,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),or(X0,X1)))
| ~ is_a_theorem(implies(not(X0),X2)) ),
inference(superposition,[],[f111,f95]) ).
fof(f122,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),or(X0,X1)))
| ~ is_a_theorem(or(X0,X2)) ),
inference(forward_demodulation,[],[f121,f95]) ).
fof(f123,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f119,f91]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f119,f111]) ).
fof(f128,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f119,f101]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) ),
inference(resolution,[],[f123,f94]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(resolution,[],[f143,f90]) ).
fof(f168,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),or(X0,X2)))
| ~ is_a_theorem(X0) ),
inference(forward_demodulation,[],[f161,f95]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,or(X0,X3))) ),
inference(resolution,[],[f168,f119]) ).
fof(f268,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X1,or(X0,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f170,f90]) ).
fof(f282,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(or(X1,X0)) ),
inference(resolution,[],[f128,f122]) ).
fof(f285,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f128,f102]) ).
fof(f286,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f128,f268]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f286,f124]) ).
fof(f315,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f282,f94]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
inference(resolution,[],[f300,f91]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f334,f286]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X2,implies(X3,X4)))
| is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f363,f124]) ).
fof(f397,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f378,f90]) ).
fof(f414,definition,
( spl2_4
<=> ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X2) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f415,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X2) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f418,plain,
spl2_4,
inference(avatar_split_clause,[],[f397,f414]) ).
fof(f432,plain,
( ! [X2,X0,X1] :
( is_a_theorem(or(X0,implies(X1,X2)))
| ~ is_a_theorem(X2) )
| ~ spl2_4 ),
inference(superposition,[],[f415,f95]) ).
fof(f772,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X0),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) )
| ~ spl2_4 ),
inference(resolution,[],[f432,f315]) ).
fof(f791,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X4,X0),implies(X3,X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X0) )
| ~ spl2_4 ),
inference(resolution,[],[f772,f123]) ).
fof(f839,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(X3) )
| ~ spl2_4 ),
inference(resolution,[],[f791,f91]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X2),X3)) )
| ~ spl2_4 ),
inference(resolution,[],[f839,f94]) ).
fof(f887,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) )
| ~ spl2_4 ),
inference(resolution,[],[f873,f89]) ).
fof(f908,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) )
| ~ spl2_4 ),
inference(resolution,[],[f887,f119]) ).
fof(f928,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,X0)))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_4 ),
inference(resolution,[],[f908,f123]) ).
fof(f1113,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X4,X2),X3))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(X0,implies(X4,X1))) )
| ~ spl2_4 ),
inference(resolution,[],[f928,f123]) ).
fof(f1201,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,implies(not(X2),X1))) )
| ~ spl2_4 ),
inference(resolution,[],[f1113,f89]) ).
fof(f1220,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,or(X2,X1))) )
| ~ spl2_4 ),
inference(forward_demodulation,[],[f1201,f95]) ).
fof(f1221,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(X2,X1)))
| is_a_theorem(implies(X0,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) )
| ~ spl2_4 ),
inference(resolution,[],[f1220,f124]) ).
fof(f1246,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X2,not(X1))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl2_4 ),
inference(resolution,[],[f1221,f90]) ).
fof(f1286,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0)))
| ~ spl2_4 ),
inference(resolution,[],[f1246,f285]) ).
fof(f1357,plain,
( $false
| ~ spl2_4 ),
inference(resolution,[],[f1286,f100]) ).
fof(f1378,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f1357]) ).
cnf(s4,plain,
spl2_4,
inference(sat_conversion,[],[f418]) ).
cnf(s32,plain,
~ spl2_4,
inference(sat_conversion,[],[f1378]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s4,s32]) ).
fof(f1379,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL462+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:45:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.34/2.09 % (4165735)Detected formulas, will run a generic FOF schedule.
% 8.34/2.09 % (4165744)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1620841927:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.34/2.09 % (4165744)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165744)------------------------------
% 8.34/2.09 % (4165744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165744)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165744)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165744)Time elapsed: 0.0000 s
% 8.34/2.09 % (4165744)Peak memory usage: 87 MB
% 8.34/2.09 % (4165741)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=959793632:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.34/2.09 % (4165740)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=2100452645:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.34/2.09 % (4165742)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=1678677717:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.34/2.09 % (4165746)dis-21_1_sil=8000:lcm=predicate:random_seed=2513768122: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)
% 8.34/2.09 % (4165743)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=558579512:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.34/2.09 % (4165745)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=874287400:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.34/2.09 % (4165743)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165743)------------------------------
% 8.34/2.09 % (4165743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165743)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165743)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165743)Time elapsed: 0.001 s
% 8.34/2.09 % (4165743)Peak memory usage: 87 MB
% 8.34/2.09 % (4165746)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165746)------------------------------
% 8.34/2.09 % (4165746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165746)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165746)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165746)Time elapsed: 0.002 s
% 8.34/2.09 % (4165746)Peak memory usage: 88 MB
% 8.34/2.09 % (4165746)Instructions burned: 1 (million)
% 8.34/2.09 % (4165745)Instruction limit reached!
% 8.34/2.09 % (4165745)------------------------------
% 8.34/2.09 % (4165745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165745)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165745)Termination reason: Instruction limit
% 8.34/2.09 % (4165745)Termination phase: Saturation
% 8.34/2.09 % (4165745)Time elapsed: 0.093 s
% 8.34/2.09 % (4165745)Peak memory usage: 90 MB
% 8.34/2.09 % (4165745)Instructions burned: 139 (million)
% 8.34/2.09 % (4165744)------------------------------
% 8.34/2.09 % (4165744)------------------------------
% 8.34/2.09 % (4165755)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1497909977:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.34/2.09 % (4165755)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165755)------------------------------
% 8.34/2.09 % (4165755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165755)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165755)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165755)Time elapsed: 0.0000 s
% 8.34/2.09 % (4165755)Peak memory usage: 87 MB
% 8.34/2.09 % (4165754)lrs+10_1_sil=8000:sp=occurrence:random_seed=23303023:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.34/2.09 % (4165746)------------------------------
% 8.34/2.09 % (4165746)------------------------------
% 8.34/2.09 % (4165743)------------------------------
% 8.34/2.09 % (4165743)------------------------------
% 8.34/2.09 % (4165759)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=250440405:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.34/2.09 % (4165755)------------------------------
% 8.34/2.09 % (4165755)------------------------------
% 8.34/2.09 % (4165758)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2270273029:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.34/2.09 % (4165758)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165758)------------------------------
% 8.34/2.09 % (4165758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165758)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165758)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165758)Time elapsed: 0.001 s
% 8.34/2.09 % (4165758)Peak memory usage: 87 MB
% 8.34/2.09 % (4165754)Instruction limit reached!
% 8.34/2.09 % (4165754)------------------------------
% 8.34/2.09 % (4165754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165754)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165754)Termination reason: Instruction limit
% 8.34/2.09 % (4165754)Termination phase: Saturation
% 8.34/2.09 % (4165754)Time elapsed: 0.165 s
% 8.34/2.09 % (4165754)Peak memory usage: 92 MB
% 8.34/2.09 % (4165754)Instructions burned: 285 (million)
% 8.34/2.09 % (4165762)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2695546355:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.34/2.09 % (4165762)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165762)------------------------------
% 8.34/2.09 % (4165762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165762)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165762)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165762)Time elapsed: 0.0000 s
% 8.34/2.09 % (4165762)Peak memory usage: 87 MB
% 8.34/2.09 % (4165763)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3092563528:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.34/2.09 % (4165759)Instruction limit reached!
% 8.34/2.09 % (4165759)------------------------------
% 8.34/2.09 % (4165759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165759)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165759)Termination reason: Instruction limit
% 8.34/2.09 % (4165759)Termination phase: Saturation
% 8.34/2.09 % (4165759)Time elapsed: 0.159 s
% 8.34/2.09 % (4165759)Peak memory usage: 92 MB
% 8.34/2.09 % (4165759)Instructions burned: 250 (million)
% 8.34/2.09 % (4165742)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165742)------------------------------
% 8.34/2.09 % (4165742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165742)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165742)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165742)Time elapsed: 0.564 s
% 8.34/2.09 % (4165742)Peak memory usage: 126 MB
% 8.34/2.09 % (4165742)Instructions burned: 829 (million)
% 8.34/2.09 % (4165762)------------------------------
% 8.34/2.09 % (4165762)------------------------------
% 8.34/2.09 % (4165758)------------------------------
% 8.34/2.09 % (4165758)------------------------------
% 8.34/2.09 % (4165766)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=501696622:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.34/2.09 % (4165766)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165766)------------------------------
% 8.34/2.09 % (4165766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165766)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165766)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165766)Time elapsed: 0.001 s
% 8.34/2.09 % (4165766)Peak memory usage: 88 MB
% 8.34/2.09 % (4165767)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3826821307:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.34/2.09 % (4165767)Instruction limit reached!
% 8.34/2.09 % (4165767)------------------------------
% 8.34/2.09 % (4165767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165767)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165767)Termination reason: Instruction limit
% 8.34/2.09 % (4165767)Termination phase: Saturation
% 8.34/2.09 % (4165767)Time elapsed: 0.039 s
% 8.34/2.09 % (4165767)Peak memory usage: 89 MB
% 8.34/2.09 % (4165767)Instructions burned: 131 (million)
% 8.34/2.09 % (4165768)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3337715617:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.34/2.09 % (4165768)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165768)------------------------------
% 8.34/2.09 % (4165768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165768)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165768)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165768)Time elapsed: 0.001 s
% 8.34/2.09 % (4165768)Peak memory usage: 87 MB
% 8.34/2.09 % (4165740)First to succeed.
% 8.34/2.09 % (4165742)------------------------------
% 8.34/2.09 % (4165742)------------------------------
% 8.34/2.09 % (4165740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4165735"
% 8.34/2.09 % (4165771)lrs+10_1_sil=8000:sp=occurrence:random_seed=765705946:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.34/2.09 % (4165766)------------------------------
% 8.34/2.09 % (4165766)------------------------------
% 8.34/2.09 % (4165773)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=70123923:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.34/2.09 % (4165773)Refutation not found, incomplete strategy
% 8.34/2.09 % (4165773)------------------------------
% 8.34/2.09 % (4165773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.09 % (4165773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.09 % (4165773)CaDiCaL version: 2.1.3
% 8.34/2.09 % (4165773)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.09 % (4165773)Time elapsed: 0.001 s
% 8.34/2.09 % (4165773)Peak memory usage: 88 MB
% 8.34/2.09 % (4165768)------------------------------
% 8.34/2.09 % (4165768)------------------------------
% 8.34/2.09 % (4165775)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2267920454:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.34/2.09 % (4165740)Refutation found. Thanks to Tanya!
% 8.34/2.09 % SZS status Theorem for theBenchmark
% 8.34/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.27/2.29 % (4165740)------------------------------
% 9.27/2.29 % (4165740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.29 % (4165740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.29 % (4165740)CaDiCaL version: 2.1.3
% 9.27/2.29 % (4165740)Termination reason: Refutation
% 9.27/2.29 % (4165740)Time elapsed: 0.817 s
% 9.27/2.29 % (4165740)Peak memory usage: 131 MB
% 9.27/2.29 % (4165740)Instructions burned: 1210 (million)
% 9.27/2.29 % (4165740)------------------------------
% 9.27/2.29 % (4165740)------------------------------
% 9.27/2.29 % (4165735)Success in time 1.229 s
% 9.27/2.29 % Vampire exiting
%------------------------------------------------------------------------------