%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL448+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 : n001.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 11:52:28 AM UTC 2026
% Result : Theorem 6.94s 1.92s
% Output : Refutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 81 ( 29 unt; 2 def)
% Number of atoms : 150 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 124 ( 55 ~; 50 |; 2 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 102 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f22,axiom,
( r1
<=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r1) ).
fof(f23,axiom,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2) ).
fof(f24,axiom,
( r3
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3) ).
fof(f25,axiom,
( r4
<=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).
fof(f26,axiom,
( r5
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r5) ).
fof(f30,axiom,
( op_implies_or
=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_or) ).
fof(f32,axiom,
op_implies_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_modus_ponens) ).
fof(f36,axiom,
r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r1) ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r2) ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r3) ).
fof(f39,axiom,
r5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r5) ).
fof(f41,conjecture,
r4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r4) ).
fof(f42,negated_conjecture,
~ r4,
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
~ r4,
inference(flattening,[],[f42]) ).
fof(f44,plain,
( r5
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f26]) ).
fof(f45,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
=> r4 ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f46,plain,
( r3
=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f47,plain,
( r2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f48,plain,
( r1
=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f50,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(f53,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f50]) ).
fof(f54,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f53]) ).
fof(f56,plain,
( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f57,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(ennf_transformation,[],[f47]) ).
fof(f58,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(ennf_transformation,[],[f46]) ).
fof(f59,plain,
( r4
| ? [X0,X1,X2] : ~ is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f60,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(ennf_transformation,[],[f44]) ).
fof(f62,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(ennf_transformation,[],[f30]) ).
fof(f64,plain,
( r4
| ~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f59]) ).
fof(f65,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f54]) ).
fof(f67,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f68,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f69,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f70,plain,
( r4
| ~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f71,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(cnf_transformation,[],[f60]) ).
fof(f73,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[],[f62]) ).
fof(f75,plain,
op_implies_or,
inference(cnf_transformation,[],[f32]) ).
fof(f78,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f79,plain,
r1,
inference(cnf_transformation,[],[f36]) ).
fof(f80,plain,
r2,
inference(cnf_transformation,[],[f37]) ).
fof(f81,plain,
r3,
inference(cnf_transformation,[],[f38]) ).
fof(f82,plain,
r5,
inference(cnf_transformation,[],[f39]) ).
fof(f84,plain,
~ r4,
inference(cnf_transformation,[],[f43]) ).
fof(f86,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(forward_subsumption_resolution,[],[f73,f75]) ).
fof(f88,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))),
inference(forward_subsumption_resolution,[],[f71,f82]) ).
fof(f89,plain,
~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))),
inference(forward_subsumption_resolution,[],[f70,f84]) ).
fof(f90,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))),
inference(forward_subsumption_resolution,[],[f69,f81]) ).
fof(f91,plain,
! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
inference(forward_subsumption_resolution,[],[f68,f80]) ).
fof(f92,plain,
! [X0] : is_a_theorem(implies(or(X0,X0),X0)),
inference(forward_subsumption_resolution,[],[f67,f79]) ).
fof(f94,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f65,f78]) ).
fof(f108,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X2,X0),or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f94,f88]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(X2,X1)) ),
inference(resolution,[],[f108,f94]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(or(not(X0),X2)) ),
inference(superposition,[],[f109,f86]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f114,f86]) ).
fof(f116,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f115,f91]) ).
fof(f118,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f115,f92]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(implies(X0,or(X2,X1))) ),
inference(resolution,[],[f115,f90]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(implies(X0,or(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f115,f108]) ).
fof(f122,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(resolution,[],[f119,f91]) ).
fof(f124,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X2,X0)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f119,f108]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X2,X3)))
| ~ is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f120,f124]) ).
fof(f205,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X2),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f177,f118]) ).
fof(f211,plain,
( ~ is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2))))
| ~ is_a_theorem(implies(sK0,or(sK1,or(sK0,sK2)))) ),
inference(resolution,[],[f205,f89]) ).
fof(f219,definition,
( spl3_1
<=> is_a_theorem(implies(sK0,or(sK1,or(sK0,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f221,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,or(sK0,sK2))))
| spl3_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f223,definition,
( spl3_2
<=> is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f225,plain,
( ~ is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2))))
| spl3_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f211,f223,f219]) ).
fof(f227,plain,
( ~ is_a_theorem(implies(sK0,or(sK0,sK2)))
| spl3_1 ),
inference(resolution,[],[f221,f116]) ).
fof(f229,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f227,f122]) ).
fof(f230,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f247,plain,
( ~ is_a_theorem(implies(sK2,or(sK0,sK2)))
| spl3_2 ),
inference(resolution,[],[f225,f108]) ).
fof(f253,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f247,f91]) ).
fof(f254,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f253]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f226]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f230]) ).
cnf(s4,plain,
spl3_2,
inference(sat_conversion,[],[f254]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f255,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL448+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.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
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:49:31 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.94/1.92 % (3741782)Detected formulas, will run a generic FOF schedule.
% 6.94/1.92 % (3741791)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3996604497:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.94/1.92 % (3741791)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741791)------------------------------
% 6.94/1.92 % (3741791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741791)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741791)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741791)Time elapsed: 0.0000 s
% 6.94/1.92 % (3741791)Peak memory usage: 87 MB
% 6.94/1.92 % (3741792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3918244028:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.94/1.92 % (3741787)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=2316436763:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.94/1.92 % (3741790)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3075519609:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.94/1.92 % (3741793)dis-21_1_sil=8000:lcm=predicate:random_seed=2201361724: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)
% 6.94/1.92 % (3741789)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=2604478782:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.94/1.92 % (3741788)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=771095872:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.94/1.92 % (3741790)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741790)------------------------------
% 6.94/1.92 % (3741790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741790)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741790)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741790)Time elapsed: 0.001 s
% 6.94/1.92 % (3741790)Peak memory usage: 87 MB
% 6.94/1.92 % (3741793)Instruction limit reached!
% 6.94/1.92 % (3741793)------------------------------
% 6.94/1.92 % (3741793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741793)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741793)Termination reason: Instruction limit
% 6.94/1.92 % (3741793)Termination phase: Saturation
% 6.94/1.92 % (3741793)Time elapsed: 0.071 s
% 6.94/1.92 % (3741793)Peak memory usage: 89 MB
% 6.94/1.92 % (3741793)Instructions burned: 130 (million)
% 6.94/1.92 % (3741792)Instruction limit reached!
% 6.94/1.92 % (3741792)------------------------------
% 6.94/1.92 % (3741792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741792)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741792)Termination reason: Instruction limit
% 6.94/1.92 % (3741792)Termination phase: Saturation
% 6.94/1.92 % (3741792)Time elapsed: 0.092 s
% 6.94/1.92 % (3741792)Peak memory usage: 90 MB
% 6.94/1.92 % (3741792)Instructions burned: 140 (million)
% 6.94/1.92 % (3741791)------------------------------
% 6.94/1.92 % (3741791)------------------------------
% 6.94/1.92 % (3741803)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2709632457:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.94/1.92 % (3741803)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741803)------------------------------
% 6.94/1.92 % (3741803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741803)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741803)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741803)Time elapsed: 0.0000 s
% 6.94/1.92 % (3741803)Peak memory usage: 87 MB
% 6.94/1.92 % (3741801)lrs+10_1_sil=8000:sp=occurrence:random_seed=2538797313:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.94/1.92 % (3741801)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741801)------------------------------
% 6.94/1.92 % (3741801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741801)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741801)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741801)Time elapsed: 0.001 s
% 6.94/1.92 % (3741801)Peak memory usage: 87 MB
% 6.94/1.92 % (3741802)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2566194823:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.94/1.92 % (3741802)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741802)------------------------------
% 6.94/1.92 % (3741802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741802)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741802)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741802)Time elapsed: 0.001 s
% 6.94/1.92 % (3741802)Peak memory usage: 87 MB
% 6.94/1.92 % (3741790)------------------------------
% 6.94/1.92 % (3741790)------------------------------
% 6.94/1.92 % (3741803)------------------------------
% 6.94/1.92 % (3741803)------------------------------
% 6.94/1.92 % (3741807)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=1768034729:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.94/1.92 % (3741808)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=422048732:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.94/1.92 % (3741808)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741808)------------------------------
% 6.94/1.92 % (3741808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741808)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741808)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741808)Time elapsed: 0.0000 s
% 6.94/1.92 % (3741808)Peak memory usage: 87 MB
% 6.94/1.92 % (3741802)------------------------------
% 6.94/1.92 % (3741802)------------------------------
% 6.94/1.92 % (3741801)------------------------------
% 6.94/1.92 % (3741801)------------------------------
% 6.94/1.92 % (3741807)Instruction limit reached!
% 6.94/1.92 % (3741807)------------------------------
% 6.94/1.92 % (3741807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741807)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741807)Termination reason: Instruction limit
% 6.94/1.92 % (3741807)Termination phase: Saturation
% 6.94/1.92 % (3741807)Time elapsed: 0.155 s
% 6.94/1.92 % (3741807)Peak memory usage: 92 MB
% 6.94/1.92 % (3741807)Instructions burned: 248 (million)
% 6.94/1.92 % (3741808)------------------------------
% 6.94/1.92 % (3741808)------------------------------
% 6.94/1.92 % (3741811)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2714747603:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.94/1.92 % (3741812)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=589600765:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.94/1.92 % (3741787)First to succeed.
% 6.94/1.92 % (3741787)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3741782"
% 6.94/1.92 % (3741813)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=916647183:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.94/1.92 % (3741812)Instruction limit reached!
% 6.94/1.92 % (3741812)------------------------------
% 6.94/1.92 % (3741812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741812)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741812)Termination reason: Instruction limit
% 6.94/1.92 % (3741812)Termination phase: Saturation
% 6.94/1.92 % (3741812)Time elapsed: 0.071 s
% 6.94/1.92 % (3741812)Peak memory usage: 90 MB
% 6.94/1.92 % (3741812)Instructions burned: 115 (million)
% 6.94/1.92 % (3741814)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2129674704:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.94/1.92 % (3741814)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741814)------------------------------
% 6.94/1.92 % (3741814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741814)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741814)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741814)Time elapsed: 0.0000 s
% 6.94/1.92 % (3741814)Peak memory usage: 87 MB
% 6.94/1.92 % (3741813)Instruction limit reached!
% 6.94/1.92 % (3741813)------------------------------
% 6.94/1.92 % (3741813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741813)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741813)Termination reason: Instruction limit
% 6.94/1.92 % (3741813)Termination phase: Saturation
% 6.94/1.92 % (3741813)Time elapsed: 0.067 s
% 6.94/1.92 % (3741813)Peak memory usage: 88 MB
% 6.94/1.92 % (3741813)Instructions burned: 127 (million)
% 6.94/1.92 % (3741819)lrs+10_1_sil=8000:sp=occurrence:random_seed=4050894321:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.94/1.92 % (3741788)Also succeeded, but the first one will report.
% 6.94/1.92 % (3741814)------------------------------
% 6.94/1.92 % (3741814)------------------------------
% 6.94/1.92 % (3741820)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=902865917:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.94/1.92 % (3741820)Refutation not found, incomplete strategy
% 6.94/1.92 % (3741820)------------------------------
% 6.94/1.92 % (3741820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.92 % (3741820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.92 % (3741820)CaDiCaL version: 2.1.3
% 6.94/1.92 % (3741820)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.92 % (3741820)Time elapsed: 0.001 s
% 6.94/1.92 % (3741820)Peak memory usage: 88 MB
% 6.94/1.92 % (3741820)Instructions burned: 1 (million)
% 6.94/1.92 % (3741787)Refutation found. Thanks to Tanya!
% 6.94/1.92 % SZS status Theorem for theBenchmark
% 6.94/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 8.09/2.11 % (3741787)------------------------------
% 8.09/2.11 % (3741787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.11 % (3741787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.11 % (3741787)CaDiCaL version: 2.1.3
% 8.09/2.11 % (3741787)Termination reason: Refutation
% 8.09/2.11 % (3741787)Time elapsed: 0.645 s
% 8.09/2.11 % (3741787)Peak memory usage: 129 MB
% 8.09/2.11 % (3741787)Instructions burned: 955 (million)
% 8.09/2.11 % (3741787)------------------------------
% 8.09/2.11 % (3741787)------------------------------
% 8.09/2.11 % (3741782)Success in time 1.065 s
% 8.09/2.11 % Vampire exiting
%------------------------------------------------------------------------------