%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL464+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 9.39s 2.18s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 84 ( 30 unt; 0 def)
% Number of atoms : 157 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 134 ( 61 ~; 57 |; 2 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 154 ( 152 !; 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/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f5,axiom,
( implies_2
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn3) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn3) ).
fof(f40,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f43,conjecture,
implies_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).
fof(f44,negated_conjecture,
~ implies_2,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ implies_2,
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(X0,implies(X0,X1)),implies(X0,X1)))
=> implies_2 ),
inference(unused_predicate_definition_removal,[],[f5]) ).
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,
( implies_2
| ? [X0,X1] : ~ is_a_theorem(implies(implies(X0,implies(X0,X1)),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,
( implies_2
| ~ is_a_theorem(implies(implies(sK0,implies(sK0,sK1)),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,
( implies_2
| ~ is_a_theorem(implies(implies(sK0,implies(sK0,sK1)),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,
~ implies_2,
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(sK0,implies(sK0,sK1)),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,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(superposition,[],[f90,f95]) ).
fof(f110,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(f117,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f110,f94]) ).
fof(f119,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),or(X0,X1)))
| ~ is_a_theorem(implies(not(X0),X2)) ),
inference(superposition,[],[f110,f95]) ).
fof(f120,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),or(X0,X1)))
| ~ is_a_theorem(or(X0,X2)) ),
inference(forward_demodulation,[],[f119,f95]) ).
fof(f121,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,[],[f117,f91]) ).
fof(f122,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,[],[f117,f110]) ).
fof(f124,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f117,f89]) ).
fof(f127,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f124,f95]) ).
fof(f139,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,[],[f121,f94]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(resolution,[],[f139,f90]) ).
fof(f170,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),or(X0,X2)))
| ~ is_a_theorem(X0) ),
inference(forward_demodulation,[],[f161,f95]) ).
fof(f179,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f170,f127]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f179,f117]) ).
fof(f192,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f184,f90]) ).
fof(f210,plain,
! [X0,X1] :
( is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X1) ),
inference(superposition,[],[f192,f95]) ).
fof(f482,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[],[f120,f127]) ).
fof(f494,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X1,X0)))
| ~ is_a_theorem(or(X0,X1))
| is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f482,f117]) ).
fof(f527,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(implies(X0,X1),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) ),
inference(resolution,[],[f494,f91]) ).
fof(f551,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f527,f210]) ).
fof(f566,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,X0)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(resolution,[],[f551,f117]) ).
fof(f1881,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X3,implies(implies(X4,X1),X2)))
| ~ is_a_theorem(implies(X3,implies(X0,X4))) ),
inference(resolution,[],[f566,f121]) ).
fof(f1993,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,implies(not(X2),X1))) ),
inference(resolution,[],[f1881,f89]) ).
fof(f2032,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,or(X2,X1))) ),
inference(forward_demodulation,[],[f1993,f95]) ).
fof(f2033,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))) ),
inference(resolution,[],[f2032,f122]) ).
fof(f2071,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X2,not(X1))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2033,f90]) ).
fof(f2111,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f2071,f100]) ).
fof(f2170,plain,
! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
inference(superposition,[],[f2111,f95]) ).
fof(f2242,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f2170,f2071]) ).
fof(f2267,plain,
! [X0,X1] : is_a_theorem(or(X0,implies(X0,X1))),
inference(forward_demodulation,[],[f2242,f95]) ).
fof(f2270,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f2267,f527]) ).
fof(f2428,plain,
$false,
inference(resolution,[],[f2270,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL464+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:48:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.77/2.13 % (736381)Detected formulas, will run a generic FOF schedule.
% 8.77/2.13 % (736390)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1521123337:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.77/2.13 % (736390)Refutation not found, incomplete strategy
% 8.77/2.13 % (736390)------------------------------
% 8.77/2.13 % (736390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (736390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (736390)CaDiCaL version: 2.1.3
% 8.77/2.13 % (736390)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.13 % (736390)Time elapsed: 0.0000 s
% 8.77/2.13 % (736390)Peak memory usage: 86 MB
% 8.77/2.13 % (736387)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=2717288617:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.77/2.13 % (736386)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=1154010848:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.77/2.13 % (736388)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=2647029274:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.77/2.13 % (736389)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2409707486:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.77/2.13 % (736391)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1200837830:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.77/2.13 % (736392)dis-21_1_sil=8000:lcm=predicate:random_seed=1776283545: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)
% 8.77/2.13 % (736389)Refutation not found, incomplete strategy
% 8.77/2.13 % (736389)------------------------------
% 8.77/2.13 % (736389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (736389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (736389)CaDiCaL version: 2.1.3
% 8.77/2.13 % (736389)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.13 % (736389)Time elapsed: 0.001 s
% 8.77/2.13 % (736389)Peak memory usage: 86 MB
% 8.77/2.13 % (736392)Refutation not found, incomplete strategy
% 8.77/2.13 % (736392)------------------------------
% 8.77/2.13 % (736392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (736392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (736392)CaDiCaL version: 2.1.3
% 8.77/2.13 % (736392)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.13 % (736392)Time elapsed: 0.002 s
% 8.77/2.13 % (736392)Peak memory usage: 88 MB
% 8.77/2.13 % (736392)Instructions burned: 1 (million)
% 8.77/2.13 % (736390)------------------------------
% 8.77/2.13 % (736390)------------------------------
% 8.77/2.13 % (736391)Instruction limit reached!
% 8.77/2.13 % (736391)------------------------------
% 8.77/2.13 % (736391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (736391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (736391)CaDiCaL version: 2.1.3
% 8.77/2.13 % (736391)Termination reason: Instruction limit
% 8.77/2.13 % (736391)Termination phase: Saturation
% 8.77/2.13 % (736391)Time elapsed: 0.101 s
% 8.77/2.13 % (736391)Peak memory usage: 90 MB
% 8.77/2.13 % (736391)Instructions burned: 141 (million)
% 8.77/2.13 % (736400)lrs+10_1_sil=8000:sp=occurrence:random_seed=3042484110:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.77/2.13 % (736400)Refutation not found, incomplete strategy
% 8.77/2.13 % (736400)------------------------------
% 8.77/2.13 % (736400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (736400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (736400)CaDiCaL version: 2.1.3
% 8.77/2.13 % (736400)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.13 % (736400)Time elapsed: 0.0000 s
% 8.77/2.13 % (736400)Peak memory usage: 87 MB
% 8.77/2.13 % (736401)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1845851569:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.39/2.18 % (736401)Refutation not found, incomplete strategy
% 9.39/2.18 % (736401)------------------------------
% 9.39/2.18 % (736401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736401)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736401)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736401)Time elapsed: 0.001 s
% 9.39/2.18 % (736401)Peak memory usage: 87 MB
% 9.39/2.18 % (736392)------------------------------
% 9.39/2.18 % (736392)------------------------------
% 9.39/2.18 % (736389)------------------------------
% 9.39/2.18 % (736389)------------------------------
% 9.39/2.18 % (736400)------------------------------
% 9.39/2.18 % (736400)------------------------------
% 9.39/2.18 % (736404)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2489407899:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.39/2.18 % (736405)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=3724339302:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.39/2.18 % (736404)Refutation not found, incomplete strategy
% 9.39/2.18 % (736404)------------------------------
% 9.39/2.18 % (736404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736404)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736404)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736404)Time elapsed: 0.001 s
% 9.39/2.18 % (736404)Peak memory usage: 87 MB
% 9.39/2.18 % (736401)------------------------------
% 9.39/2.18 % (736401)------------------------------
% 9.39/2.18 % (736406)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=765091549:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.39/2.18 % (736406)Refutation not found, incomplete strategy
% 9.39/2.18 % (736406)------------------------------
% 9.39/2.18 % (736406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736406)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736406)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736406)Time elapsed: 0.0000 s
% 9.39/2.18 % (736406)Peak memory usage: 86 MB
% 9.39/2.18 % (736405)Instruction limit reached!
% 9.39/2.18 % (736405)------------------------------
% 9.39/2.18 % (736405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736405)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736405)Termination reason: Instruction limit
% 9.39/2.18 % (736405)Termination phase: Saturation
% 9.39/2.18 % (736405)Time elapsed: 0.158 s
% 9.39/2.18 % (736405)Peak memory usage: 92 MB
% 9.39/2.18 % (736405)Instructions burned: 248 (million)
% 9.39/2.18 % (736388)Refutation not found, incomplete strategy
% 9.39/2.18 % (736388)------------------------------
% 9.39/2.18 % (736388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736388)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736388)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736388)Time elapsed: 0.560 s
% 9.39/2.18 % (736388)Peak memory usage: 127 MB
% 9.39/2.18 % (736388)Instructions burned: 828 (million)
% 9.39/2.18 % (736410)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1737654957:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.39/2.18 % (736406)------------------------------
% 9.39/2.18 % (736406)------------------------------
% 9.39/2.18 % (736404)------------------------------
% 9.39/2.18 % (736404)------------------------------
% 9.39/2.18 % (736411)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=546019283:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.39/2.18 % (736411)Refutation not found, incomplete strategy
% 9.39/2.18 % (736411)------------------------------
% 9.39/2.18 % (736411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736411)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736411)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736411)Time elapsed: 0.001 s
% 9.39/2.18 % (736411)Peak memory usage: 88 MB
% 9.39/2.18 % (736413)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2683001937:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.39/2.18 % (736413)Instruction limit reached!
% 9.39/2.18 % (736413)------------------------------
% 9.39/2.18 % (736413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736413)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736413)Termination reason: Instruction limit
% 9.39/2.18 % (736413)Termination phase: Saturation
% 9.39/2.18 % (736413)Time elapsed: 0.038 s
% 9.39/2.18 % (736413)Peak memory usage: 89 MB
% 9.39/2.18 % (736413)Instructions burned: 127 (million)
% 9.39/2.18 % (736414)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1340390725:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.39/2.18 % (736414)Refutation not found, incomplete strategy
% 9.39/2.18 % (736414)------------------------------
% 9.39/2.18 % (736414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736414)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736414)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736414)Time elapsed: 0.001 s
% 9.39/2.18 % (736414)Peak memory usage: 87 MB
% 9.39/2.18 % (736388)------------------------------
% 9.39/2.18 % (736388)------------------------------
% 9.39/2.18 % (736417)lrs+10_1_sil=8000:sp=occurrence:random_seed=1363157700:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.39/2.18 % (736417)Refutation not found, incomplete strategy
% 9.39/2.18 % (736417)------------------------------
% 9.39/2.18 % (736417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736417)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736417)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736417)Time elapsed: 0.0000 s
% 9.39/2.18 % (736417)Peak memory usage: 87 MB
% 9.39/2.18 % (736386)First to succeed.
% 9.39/2.18 % (736386)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-736381"
% 9.39/2.18 % (736411)------------------------------
% 9.39/2.18 % (736411)------------------------------
% 9.39/2.18 % (736419)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3959255084:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.39/2.18 % (736419)Refutation not found, incomplete strategy
% 9.39/2.18 % (736419)------------------------------
% 9.39/2.18 % (736419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736419)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736419)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736419)Time elapsed: 0.001 s
% 9.39/2.18 % (736419)Peak memory usage: 88 MB
% 9.39/2.18 % (736417)------------------------------
% 9.39/2.18 % (736417)------------------------------
% 9.39/2.18 % (736414)------------------------------
% 9.39/2.18 % (736414)------------------------------
% 9.39/2.18 % (736421)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=198211320:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.39/2.18 % (736423)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3197486366:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.39/2.18 % (736423)Refutation not found, incomplete strategy
% 9.39/2.18 % (736423)------------------------------
% 9.39/2.18 % (736423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736423)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736423)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736423)Time elapsed: 0.001 s
% 9.39/2.18 % (736423)Peak memory usage: 89 MB
% 9.39/2.18 % (736424)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1317619809:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.39/2.18 % (736424)Refutation not found, incomplete strategy
% 9.39/2.18 % (736424)------------------------------
% 9.39/2.18 % (736424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.18 % (736424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.18 % (736424)CaDiCaL version: 2.1.3
% 9.39/2.18 % (736424)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.18 % (736424)Time elapsed: 0.001 s
% 9.39/2.18 % (736424)Peak memory usage: 87 MB
% 9.39/2.18 % (736386)Refutation found. Thanks to Tanya!
% 9.39/2.18 % SZS status Theorem for theBenchmark
% 9.39/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 9.96/2.37 % (736386)------------------------------
% 9.96/2.37 % (736386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.37 % (736386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.37 % (736386)CaDiCaL version: 2.1.3
% 9.96/2.37 % (736386)Termination reason: Refutation
% 9.96/2.37 % (736386)Time elapsed: 0.921 s
% 9.96/2.37 % (736386)Peak memory usage: 132 MB
% 9.96/2.37 % (736386)Instructions burned: 1384 (million)
% 9.96/2.37 % (736386)------------------------------
% 9.96/2.37 % (736386)------------------------------
% 9.96/2.37 % (736381)Success in time 1.334 s
% 9.96/2.37 % Vampire exiting
%------------------------------------------------------------------------------