%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL498+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:58:49 AM UTC 2026
% Result : Theorem 21.16s 3.61s
% Output : Refutation 21.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 84 ( 37 unt; 0 def)
% Number of atoms : 143 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 103 ( 44 ~; 40 |; 2 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 129 ( 128 !; 1 ?)
% 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/Axioms/LCL006+0.ax',modus_ponens) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',cn3) ).
fof(f22,axiom,
( r1
<=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r1) ).
fof(f23,axiom,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r2) ).
fof(f24,axiom,
( r3
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r3) ).
fof(f25,axiom,
( r4
<=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r4) ).
fof(f26,axiom,
( r5
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r5) ).
fof(f30,axiom,
( op_implies_or
=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_or) ).
fof(f32,axiom,
op_implies_or,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_op_implies_or) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_modus_ponens) ).
fof(f36,axiom,
r1,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r1) ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r2) ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r3) ).
fof(f39,axiom,
r4,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r4) ).
fof(f40,axiom,
r5,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r5) ).
fof(f45,conjecture,
cn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3) ).
fof(f46,negated_conjecture,
~ cn3,
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f47,plain,
~ cn3,
inference(flattening,[],[f46]) ).
fof(f48,plain,
( r5
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f26]) ).
fof(f49,plain,
( r4
=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f50,plain,
( r3
=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f51,plain,
( r2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f52,plain,
( r1
=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f53,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
=> cn3 ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f55,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f58,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f55]) ).
fof(f59,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f58]) ).
fof(f61,plain,
( cn3
| ? [X0] : ~ is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f62,plain,
( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(ennf_transformation,[],[f52]) ).
fof(f63,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(ennf_transformation,[],[f51]) ).
fof(f64,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(ennf_transformation,[],[f50]) ).
fof(f65,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(ennf_transformation,[],[f49]) ).
fof(f66,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(ennf_transformation,[],[f48]) ).
fof(f69,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(ennf_transformation,[],[f30]) ).
fof(f71,plain,
( cn3
| ~ is_a_theorem(implies(implies(not(sK0),sK0),sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f61]) ).
fof(f72,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f59]) ).
fof(f74,plain,
( cn3
| ~ is_a_theorem(implies(implies(not(sK0),sK0),sK0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f75,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f76,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f77,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[],[f64]) ).
fof(f78,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[],[f65]) ).
fof(f79,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(cnf_transformation,[],[f66]) ).
fof(f82,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[],[f69]) ).
fof(f84,plain,
op_implies_or,
inference(cnf_transformation,[],[f32]) ).
fof(f87,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f88,plain,
r1,
inference(cnf_transformation,[],[f36]) ).
fof(f89,plain,
r2,
inference(cnf_transformation,[],[f37]) ).
fof(f90,plain,
r3,
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
r4,
inference(cnf_transformation,[],[f39]) ).
fof(f92,plain,
r5,
inference(cnf_transformation,[],[f40]) ).
fof(f96,plain,
~ cn3,
inference(cnf_transformation,[],[f47]) ).
fof(f98,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(forward_subsumption_resolution,[],[f82,f84]) ).
fof(f101,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))),
inference(forward_subsumption_resolution,[],[f79,f92]) ).
fof(f102,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(forward_subsumption_resolution,[],[f78,f91]) ).
fof(f103,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))),
inference(forward_subsumption_resolution,[],[f77,f90]) ).
fof(f104,plain,
! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
inference(forward_subsumption_resolution,[],[f76,f89]) ).
fof(f105,plain,
! [X0] : is_a_theorem(implies(or(X0,X0),X0)),
inference(forward_subsumption_resolution,[],[f75,f88]) ).
fof(f106,plain,
~ is_a_theorem(implies(implies(not(sK0),sK0),sK0)),
inference(forward_subsumption_resolution,[],[f74,f96]) ).
fof(f108,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f72,f87]) ).
fof(f112,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[],[f103,f98]) ).
fof(f114,plain,
! [X0,X1] :
( is_a_theorem(or(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f108,f104]) ).
fof(f116,plain,
! [X0] :
( ~ is_a_theorem(or(X0,X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f108,f105]) ).
fof(f117,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,X1))
| is_a_theorem(or(X1,X0)) ),
inference(resolution,[],[f108,f103]) ).
fof(f131,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X2,X0),or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f101,f108]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,or(X1,X2)))
| is_a_theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f102,f108]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(X2,X1)) ),
inference(resolution,[],[f131,f108]) ).
fof(f226,plain,
! [X2,X0,X1] :
( is_a_theorem(or(X0,or(X1,X2)))
| ~ is_a_theorem(or(X0,X2)) ),
inference(resolution,[],[f141,f114]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(or(X1,or(not(X0),X2))) ),
inference(superposition,[],[f141,f98]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X2)))
| is_a_theorem(or(X1,implies(X0,X2))) ),
inference(forward_demodulation,[],[f228,f98]) ).
fof(f525,plain,
! [X0,X1] :
( ~ is_a_theorem(or(or(X0,X1),X1))
| is_a_theorem(or(X0,X1)) ),
inference(resolution,[],[f226,f116]) ).
fof(f661,plain,
! [X0,X1] : is_a_theorem(or(X0,implies(X1,X1))),
inference(resolution,[],[f229,f104]) ).
fof(f677,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f661,f116]) ).
fof(f678,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(or(X2,X1)) ),
inference(resolution,[],[f661,f197]) ).
fof(f699,plain,
! [X0,X1] : is_a_theorem(or(X0,implies(or(X0,X1),X1))),
inference(resolution,[],[f677,f229]) ).
fof(f871,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(or(not(X0),X1),X1))),
inference(superposition,[],[f699,f98]) ).
fof(f872,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(forward_demodulation,[],[f871,f98]) ).
fof(f4569,plain,
! [X0,X1] :
( ~ is_a_theorem(or(implies(X0,X1),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[],[f525,f98]) ).
fof(f14124,plain,
! [X0,X1] : is_a_theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[],[f678,f112]) ).
fof(f14422,plain,
! [X0] : is_a_theorem(or(X0,not(X0))),
inference(resolution,[],[f14124,f116]) ).
fof(f14832,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(or(X0,X1)) ),
inference(resolution,[],[f14422,f197]) ).
fof(f23238,plain,
! [X0,X1] : is_a_theorem(or(X0,implies(implies(not(X0),X1),X1))),
inference(resolution,[],[f14832,f872]) ).
fof(f26415,plain,
! [X0,X1] : is_a_theorem(or(implies(implies(not(X0),X1),X1),X0)),
inference(resolution,[],[f23238,f117]) ).
fof(f32098,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(resolution,[],[f4569,f26415]) ).
fof(f32226,plain,
$false,
inference(resolution,[],[f32098,f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL498+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.33 % Computer : n012.cluster.edu
% 0.04/0.33 % Model : x86_64 x86_64
% 0.04/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.33 % Memory : 8046.5625MB
% 0.04/0.33 % OS : Linux 6.8.0-71-generic
% 0.04/0.33 % CPULimit : 300
% 0.04/0.33 % WCLimit : 300
% 0.04/0.33 % DateTime : Sun Sep 27 15:50:50 UTC 2026
% 0.04/0.33 % CPUTime :
% 0.04/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.35 Running first-order model finding
% 0.04/0.35 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.77/1.69 % (2542948)Will run a generic schedule for satisfiability detection.
% 7.77/1.69 % (2542954)% WARNING: option uhcvi not known.
% 7.77/1.69 % (2542953)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3463198441_2999 on theBenchmark for (2999ds/0Mi)
% 7.77/1.69 % (2542954)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1791520769:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.77/1.69 % (2542955)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2805122921:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.77/1.69 % (2542956)dis+10_1_sil=32000:sp=arity:random_seed=578198197:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.77/1.69 % (2542957)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1233837634:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.77/1.69 % (2542958)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3546778493:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.77/1.69 % (2542959)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=361654288:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.77/1.69 % TRYING [1]
% 7.77/1.69 % TRYING [2]
% 7.77/1.69 % TRYING [3]
% 7.77/1.69 % TRYING [4]
% 7.77/1.69 % TRYING [5]
% 7.77/1.69 % (2542956)Instruction limit reached!
% 7.77/1.69 % (2542956)------------------------------
% 7.77/1.69 % (2542956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.69 % (2542956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.69 % (2542956)CaDiCaL version: 2.1.3
% 7.77/1.69 % (2542956)Termination reason: Instruction limit
% 7.77/1.69 % (2542956)Termination phase: Saturation
% 7.77/1.69 % (2542956)Time elapsed: 0.037 s
% 7.77/1.69 % (2542956)Peak memory usage: 13 MB
% 7.77/1.69 % (2542956)Instructions burned: 108 (million)
% 7.77/1.69 % (2542957)Instruction limit reached!
% 7.77/1.69 % (2542957)------------------------------
% 7.77/1.69 % (2542957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.69 % (2542957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.69 % (2542957)CaDiCaL version: 2.1.3
% 7.77/1.69 % (2542957)Termination reason: Instruction limit
% 7.77/1.69 % (2542957)Termination phase: Saturation
% 7.77/1.69 % (2542957)Time elapsed: 0.040 s
% 7.77/1.69 % (2542957)Peak memory usage: 13 MB
% 7.77/1.69 % (2542957)Instructions burned: 117 (million)
% 7.77/1.69 % (2542958)Instruction limit reached!
% 7.77/1.69 % (2542958)------------------------------
% 7.77/1.69 % (2542958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.69 % (2542958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.69 % (2542958)CaDiCaL version: 2.1.3
% 7.77/1.69 % (2542958)Termination reason: Instruction limit
% 7.77/1.69 % (2542958)Termination phase: Saturation
% 7.77/1.69 % (2542958)Time elapsed: 0.045 s
% 7.77/1.69 % (2542958)Peak memory usage: 14 MB
% 7.77/1.69 % (2542958)Instructions burned: 131 (million)
% 7.77/1.69 % (2542967)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1576513111:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.77/1.69 % TRYING [1]
% 7.77/1.69 % TRYING [2]
% 7.77/1.69 % TRYING [3]
% 7.77/1.69 % (2542968)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1310825747:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.77/1.69 % TRYING [4]
% 7.77/1.69 % (2542969)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1697376197:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.77/1.69 % (2542959)Instruction limit reached!
% 7.77/1.69 % (2542959)------------------------------
% 7.77/1.69 % (2542959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.69 % (2542959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.69 % (2542959)CaDiCaL version: 2.1.3
% 7.77/1.69 % (2542959)Termination reason: Instruction limit
% 7.77/1.69 % (2542959)Termination phase: Saturation
% 7.77/1.69 % (2542959)Time elapsed: 0.060 s
% 7.77/1.69 % (2542959)Peak memory usage: 13 MB
% 7.77/1.69 % (2542959)Instructions burned: 159 (million)
% 7.77/1.69 % (2542973)ott-21_1_sil=16000:fs=off:random_seed=2812429552:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 7.77/1.69 % (2542968)Instruction limit reached!
% 7.77/1.69 % (2542968)------------------------------
% 7.77/1.69 % (2542968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542968)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542968)Termination reason: Instruction limit
% 21.16/3.61 % (2542968)Termination phase: Saturation
% 21.16/3.61 % (2542968)Time elapsed: 0.048 s
% 21.16/3.61 % (2542968)Peak memory usage: 14 MB
% 21.16/3.61 % (2542968)Instructions burned: 132 (million)
% 21.16/3.61 % TRYING [5]
% 21.16/3.61 % (2542975)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4170786158:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.16/3.61 % (2542973)Instruction limit reached!
% 21.16/3.61 % (2542973)------------------------------
% 21.16/3.61 % (2542973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542973)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542973)Termination reason: Instruction limit
% 21.16/3.61 % (2542973)Termination phase: Saturation
% 21.16/3.61 % (2542973)Time elapsed: 0.052 s
% 21.16/3.61 % (2542973)Peak memory usage: 13 MB
% 21.16/3.61 % (2542973)Instructions burned: 181 (million)
% 21.16/3.61 % TRYING [6]
% 21.16/3.61 % (2542977)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=141151468:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 21.16/3.61 % TRYING [1]
% 21.16/3.61 % TRYING [2]
% 21.16/3.61 % TRYING [3]
% 21.16/3.61 % TRYING [4]
% 21.16/3.61 % (2542975)Instruction limit reached!
% 21.16/3.61 % (2542975)------------------------------
% 21.16/3.61 % (2542975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542975)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542975)Termination reason: Instruction limit
% 21.16/3.61 % (2542975)Termination phase: Saturation
% 21.16/3.61 % (2542975)Time elapsed: 0.167 s
% 21.16/3.61 % (2542975)Peak memory usage: 14 MB
% 21.16/3.61 % (2542975)Instructions burned: 477 (million)
% 21.16/3.61 % (2542967)Instruction limit reached!
% 21.16/3.61 % (2542967)------------------------------
% 21.16/3.61 % (2542967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542967)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542967)Termination reason: Instruction limit
% 21.16/3.61 % (2542967)Termination phase: Finite model building SAT solving
% 21.16/3.61 % (2542967)Time elapsed: 0.236 s
% 21.16/3.61 % (2542967)Peak memory usage: 20 MB
% 21.16/3.61 % (2542967)Instructions burned: 715 (million)
% 21.16/3.61 % (2542979)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1315065348:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 21.16/3.61 % (2542969)Instruction limit reached!
% 21.16/3.61 % (2542969)------------------------------
% 21.16/3.61 % (2542969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542969)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542969)Termination reason: Instruction limit
% 21.16/3.61 % (2542969)Termination phase: Saturation
% 21.16/3.61 % (2542969)Time elapsed: 0.238 s
% 21.16/3.61 % (2542969)Peak memory usage: 20 MB
% 21.16/3.61 % (2542969)Instructions burned: 686 (million)
% 21.16/3.61 % (2542980)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4294430414:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 21.16/3.61 % (2542982)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1421637332:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 21.16/3.61 % TRYING [5]
% 21.16/3.61 % TRYING [14]
% 21.16/3.61 % (2542977)Instruction limit reached!
% 21.16/3.61 % (2542977)------------------------------
% 21.16/3.61 % (2542977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542977)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542977)Termination reason: Instruction limit
% 21.16/3.61 % (2542977)Termination phase: Finite model building constraint generation
% 21.16/3.61 % (2542977)Time elapsed: 0.206 s
% 21.16/3.61 % (2542977)Peak memory usage: 20 MB
% 21.16/3.61 % (2542977)Instructions burned: 868 (million)
% 21.16/3.61 % (2542985)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1301841522:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 21.16/3.61 % (2542980)Instruction limit reached!
% 21.16/3.61 % (2542980)------------------------------
% 21.16/3.61 % (2542980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542980)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542980)Termination reason: Instruction limit
% 21.16/3.61 % (2542980)Termination phase: Finite model building constraint generation
% 21.16/3.61 % (2542980)Time elapsed: 0.171 s
% 21.16/3.61 % (2542980)Peak memory usage: 67 MB
% 21.16/3.61 % (2542980)Instructions burned: 889 (million)
% 21.16/3.61 % (2542987)fmb+10_1_sil=64000:random_seed=1400571244:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 21.16/3.61 % TRYING [1]
% 21.16/3.61 % TRYING [2]
% 21.16/3.61 % TRYING [3]
% 21.16/3.61 % TRYING [4]
% 21.16/3.61 % TRYING [5]
% 21.16/3.61 % (2542982)Instruction limit reached!
% 21.16/3.61 % (2542982)------------------------------
% 21.16/3.61 % (2542982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542982)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542982)Termination reason: Instruction limit
% 21.16/3.61 % (2542982)Termination phase: Saturation
% 21.16/3.61 % (2542982)Time elapsed: 0.226 s
% 21.16/3.61 % (2542982)Peak memory usage: 18 MB
% 21.16/3.61 % (2542982)Instructions burned: 695 (million)
% 21.16/3.61 % (2542989)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2650185730:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 21.16/3.61 % TRYING [20]
% 21.16/3.61 % TRYING [6]
% 21.16/3.61 % (2542985)Instruction limit reached!
% 21.16/3.61 % (2542985)------------------------------
% 21.16/3.61 % (2542985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542985)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542985)Termination reason: Instruction limit
% 21.16/3.61 % (2542985)Termination phase: Saturation
% 21.16/3.61 % (2542985)Time elapsed: 0.261 s
% 21.16/3.61 % (2542985)Peak memory usage: 22 MB
% 21.16/3.61 % (2542985)Instructions burned: 883 (million)
% 21.16/3.61 % (2542991)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3020357504:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 21.16/3.61 % TRYING [8]
% 21.16/3.61 % (2542979)Instruction limit reached!
% 21.16/3.61 % (2542979)------------------------------
% 21.16/3.61 % (2542979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542979)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542979)Termination reason: Instruction limit
% 21.16/3.61 % (2542979)Termination phase: Saturation
% 21.16/3.61 % (2542979)Time elapsed: 0.378 s
% 21.16/3.61 % (2542979)Peak memory usage: 23 MB
% 21.16/3.61 % (2542979)Instructions burned: 1182 (million)
% 21.16/3.61 % (2542993)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2460878829:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 21.16/3.61 % TRYING [7]
% 21.16/3.61 % (2542991)Instruction limit reached!
% 21.16/3.61 % (2542991)------------------------------
% 21.16/3.61 % (2542991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542991)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542991)Termination reason: Instruction limit
% 21.16/3.61 % (2542991)Termination phase: Finite model building SAT solving
% 21.16/3.61 % (2542991)Time elapsed: 0.239 s
% 21.16/3.61 % (2542991)Peak memory usage: 60 MB
% 21.16/3.61 % (2542991)Instructions burned: 920 (million)
% 21.16/3.61 % (2542995)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=329809151:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 21.16/3.61 % TRYING [7]
% 21.16/3.61 % (2542995)Instruction limit reached!
% 21.16/3.61 % (2542995)------------------------------
% 21.16/3.61 % (2542995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542995)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542995)Termination reason: Instruction limit
% 21.16/3.61 % (2542995)Termination phase: Saturation
% 21.16/3.61 % (2542995)Time elapsed: 0.417 s
% 21.16/3.61 % (2542995)Peak memory usage: 29 MB
% 21.16/3.61 % (2542995)Instructions burned: 1472 (million)
% 21.16/3.61 % (2542997)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=267167866:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 21.16/3.61 % TRYING [77]
% 21.16/3.61 % (2542993)Instruction limit reached!
% 21.16/3.61 % (2542993)------------------------------
% 21.16/3.61 % (2542993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542993)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542993)Termination reason: Instruction limit
% 21.16/3.61 % (2542993)Termination phase: Saturation
% 21.16/3.61 % (2542993)Time elapsed: 1.551 s
% 21.16/3.61 % (2542993)Peak memory usage: 62 MB
% 21.16/3.61 % (2542993)Instructions burned: 5132 (million)
% 21.16/3.61 % (2542999)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3346519389:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 21.16/3.61 % TRYING [16]
% 21.16/3.61 % (2542989)Instruction limit reached!
% 21.16/3.61 % (2542989)------------------------------
% 21.16/3.61 % (2542989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542989)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542989)Termination reason: Instruction limit
% 21.16/3.61 % (2542989)Termination phase: Finite model building constraint generation
% 21.16/3.61 % (2542989)Time elapsed: 1.856 s
% 21.16/3.61 % (2542989)Peak memory usage: 598 MB
% 21.16/3.61 % (2542989)Instructions burned: 9516 (million)
% 21.16/3.61 % (2543001)ott-2_1_sil=16000:newcnf=on:random_seed=1122197610:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 21.16/3.61 % TRYING [8]
% 21.16/3.61 % (2542997)Instruction limit reached!
% 21.16/3.61 % (2542997)------------------------------
% 21.16/3.61 % (2542997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542997)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542997)Termination reason: Instruction limit
% 21.16/3.61 % (2542997)Termination phase: Finite model building constraint generation
% 21.16/3.61 % (2542997)Time elapsed: 1.277 s
% 21.16/3.61 % (2542997)Peak memory usage: 415 MB
% 21.16/3.61 % (2542997)Instructions burned: 6329 (million)
% 21.16/3.61 % TRYING [8]
% 21.16/3.61 % (2543003)ott+10_1_sil=32000:tgt=ground:random_seed=3561404145:i=5114:av=off_2973 on theBenchmark for (2973ds/5114Mi)
% 21.16/3.61 % (2542999)Instruction limit reached!
% 21.16/3.61 % (2542999)------------------------------
% 21.16/3.61 % (2542999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2542999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2542999)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2542999)Termination reason: Instruction limit
% 21.16/3.61 % (2542999)Termination phase: Finite model building constraint generation
% 21.16/3.61 % (2542999)Time elapsed: 0.405 s
% 21.16/3.61 % (2542999)Peak memory usage: 132 MB
% 21.16/3.61 % (2542999)Instructions burned: 2177 (million)
% 21.16/3.61 % (2543005)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1048872115:i=54282_2973 on theBenchmark for (2973ds/54282Mi)
% 21.16/3.61 % TRYING [1]
% 21.16/3.61 % TRYING [2]
% 21.16/3.61 % TRYING [3]
% 21.16/3.61 % TRYING [4]
% 21.16/3.61 % TRYING [5]
% 21.16/3.61 % (2543001)Instruction limit reached!
% 21.16/3.61 % (2543001)------------------------------
% 21.16/3.61 % (2543001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.61 % (2543001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.61 % (2543001)CaDiCaL version: 2.1.3
% 21.16/3.61 % (2543001)Termination reason: Instruction limit
% 21.16/3.61 % (2543001)Termination phase: Saturation
% 21.16/3.61 % (2543001)Time elapsed: 0.297 s
% 21.16/3.61 % (2543001)Peak memory usage: 23 MB
% 21.16/3.61 % (2543001)Instructions burned: 869 (million)
% 21.16/3.61 % (2543007)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2748319754:i=3512:aac=none_2972 on theBenchmark for (2972ds/3512Mi)
% 21.16/3.61 % TRYING [6]
% 21.16/3.61 % (2543003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2542948-2543003"...
% 21.16/3.61 % (2543003)...printing done.
% 21.16/3.61 % (2543003)Refutation found. Thanks to Tanya!
% 21.16/3.61 % SZS status Theorem for theBenchmark
% 21.16/3.61 % SZS output start Proof for theBenchmark
% See solution above
% 21.16/3.62 % (2543003)------------------------------
% 21.16/3.62 % (2543003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.16/3.62 % (2543003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/3.62 % (2543003)CaDiCaL version: 2.1.3
% 21.16/3.62 % (2543003)Termination reason: Refutation
% 21.16/3.62 % (2543003)Time elapsed: 0.589 s
% 21.16/3.62 % (2543003)Peak memory usage: 34 MB
% 21.16/3.62 % (2543003)Instructions burned: 1799 (million)
% 21.16/3.62 % (2542948)Success in time 3.26 s
% 21.16/3.62 % Vampire exiting
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