%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS083+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:41:36 AM UTC 2026
% Result : Unsatisfiable 2.86s 1.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 88 ( 12 unt; 4 def)
% Number of atoms : 295 ( 22 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 354 ( 147 ~; 138 |; 54 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 118 ( 0 sgn 99 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f18,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) )
& ~ cc(X0)
& ? [X1] :
( rinvF(X0,X1)
& cd(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f19,axiom,
! [X0] :
( cd(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& ~ cc(X1) )
& cc(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f20,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f21,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f22,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_19_32337),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f25,axiom,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) )
& ~ cc(X0)
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) ) ),
inference(rectify,[],[f18]) ).
fof(f57,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& cd(X2) )
| ~ rinvR(X0,X1) )
& ~ cc(X0)
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f58,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f59,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f64,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
& rinvR(X0,X1) )
| cc(X0)
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& cd(X2) )
| ~ rinvR(X0,X1) )
& ~ cc(X0)
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f65,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
& rinvR(X0,X1) )
| cc(X0)
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& cd(X2) )
| ~ rinvR(X0,X1) )
& ~ cc(X0)
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ? [X1] :
( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
& rinvR(X0,X1) )
| cc(X0)
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ! [X4] :
( ? [X5] :
( rinvF(X4,X5)
& cd(X5) )
| ~ rinvR(X0,X4) )
& ~ cc(X0)
& ? [X6] :
( rinvF(X0,X6)
& cd(X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ( ! [X2] :
( ~ rinvF(sK0(X0),X2)
| ~ cd(X2) )
& rinvR(X0,sK0(X0)) )
| cc(X0)
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ! [X4] :
( ( rinvF(X4,sK1(X4))
& cd(sK1(X4)) )
| ~ rinvR(X0,X4) )
& ~ cc(X0)
& rinvF(X0,sK2(X0))
& cd(sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X5,sK1(X4)),skolemize(X6,sK2(X0))],[f66]) ).
fof(f68,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| cc(X1) )
| ~ cc(X0) )
& ( ( ? [X1] :
( rf(X0,X1)
& ~ cc(X1) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f69,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| cc(X1) )
| ~ cc(X0) )
& ( ( ? [X1] :
( rf(X0,X1)
& ~ cc(X1) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| cc(X1) )
| ~ cc(X0) )
& ( ( ? [X2] :
( rf(X0,X2)
& ~ cc(X2) )
& cc(X0) )
| ~ cd(X0) ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ( cd(X0)
| ! [X1] :
( ~ rf(X0,X1)
| cc(X1) )
| ~ cc(X0) )
& ( ( rf(X0,sK3(X0))
& ~ cc(sK3(X0))
& cc(X0) )
| ~ cd(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f73,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f90,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f93,plain,
! [X0] :
( cd(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f94,plain,
! [X0] :
( rinvF(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f96,plain,
! [X0,X4] :
( cd(sK1(X4))
| ~ rinvR(X0,X4)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f97,plain,
! [X0,X4] :
( rinvF(X4,sK1(X4))
| ~ rinvR(X0,X4)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f100,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f101,plain,
! [X0] :
( ~ cc(sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f102,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f104,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
! [X0,X1] :
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f107,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f108,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f110,plain,
cUnsatisfiable(i2003_11_14_17_19_32337),
inference(cnf_transformation,[],[f24]) ).
fof(f111,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(forward_subsumption_resolution,[],[f104,f90]) ).
fof(f134,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| sK3(X0) = X1
| ~ cd(X0) ),
inference(resolution,[],[f133,f102]) ).
fof(f138,plain,
! [X0,X1] :
( ~ cd(X0)
| sK3(X0) = X1
| ~ rinvF(X1,X0) ),
inference(resolution,[],[f134,f105]) ).
fof(f144,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rinvF(X1,sK2(X0))
| sK3(sK2(X0)) = X1 ),
inference(resolution,[],[f138,f93]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X2)
| ~ rinvF(X1,sK1(X0))
| ~ rinvR(X2,X0)
| sK3(sK1(X0)) = X1 ),
inference(resolution,[],[f138,f96]) ).
fof(f155,plain,
! [X0] :
( ~ rinvF(X0,sK2(i2003_11_14_17_19_32337))
| sK3(sK2(i2003_11_14_17_19_32337)) = X0 ),
inference(resolution,[],[f144,f110]) ).
fof(f160,definition,
( spl4_1
<=> cd(sK2(i2003_11_14_17_19_32337)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f161,plain,
( cd(sK2(i2003_11_14_17_19_32337))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f162,plain,
( ~ cd(sK2(i2003_11_14_17_19_32337))
| spl4_1 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f164,definition,
( spl4_2
<=> i2003_11_14_17_19_32337 = sK3(sK2(i2003_11_14_17_19_32337)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f166,plain,
( i2003_11_14_17_19_32337 = sK3(sK2(i2003_11_14_17_19_32337))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f170,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_32337)
| spl4_1 ),
inference(resolution,[],[f162,f93]) ).
fof(f173,definition,
( spl4_3
<=> cc(sK2(i2003_11_14_17_19_32337)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f174,plain,
( cc(sK2(i2003_11_14_17_19_32337))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f180,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f170,f110]) ).
fof(f181,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f182,plain,
! [X0,X1] :
( ~ rinvR(i2003_11_14_17_19_32337,X1)
| ~ rinvF(X0,sK1(X1))
| sK3(sK1(X1)) = X0 ),
inference(resolution,[],[f145,f110]) ).
fof(f185,plain,
( cc(sK2(i2003_11_14_17_19_32337))
| ~ spl4_1 ),
inference(resolution,[],[f161,f100]) ).
fof(f186,plain,
( spl4_3
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f185,f160,f173]) ).
fof(f190,plain,
( i2003_11_14_17_19_32337 = sK3(sK2(i2003_11_14_17_19_32337))
| ~ cUnsatisfiable(i2003_11_14_17_19_32337) ),
inference(resolution,[],[f155,f94]) ).
fof(f192,plain,
i2003_11_14_17_19_32337 = sK3(sK2(i2003_11_14_17_19_32337)),
inference(forward_subsumption_resolution,[],[f190,f110]) ).
fof(f193,plain,
spl4_2,
inference(avatar_split_clause,[],[f192,f164]) ).
fof(f197,plain,
( rf(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
| ~ cd(sK2(i2003_11_14_17_19_32337))
| ~ spl4_2 ),
inference(superposition,[],[f102,f166]) ).
fof(f200,plain,
( rf(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
| ~ spl4_1
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f197,f161]) ).
fof(f201,plain,
! [X0,X1] :
( ~ rinvF(X0,sK1(X1))
| sK3(sK1(X1)) = X0
| ~ rr(X1,i2003_11_14_17_19_32337) ),
inference(resolution,[],[f182,f108]) ).
fof(f242,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ rr(X0,i2003_11_14_17_19_32337)
| ~ rinvR(X1,X0)
| sK3(sK1(X0)) = X0 ),
inference(resolution,[],[f201,f97]) ).
fof(f323,plain,
! [X0] :
( ~ rr(X0,i2003_11_14_17_19_32337)
| ~ rinvR(i2003_11_14_17_19_32337,X0)
| sK3(sK1(X0)) = X0 ),
inference(resolution,[],[f242,f110]) ).
fof(f325,plain,
! [X0] :
( ~ rinvR(i2003_11_14_17_19_32337,X0)
| sK3(sK1(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f323,f107]) ).
fof(f340,plain,
! [X0] :
( ~ rr(X0,i2003_11_14_17_19_32337)
| sK3(sK1(X0)) = X0 ),
inference(resolution,[],[f325,f108]) ).
fof(f345,plain,
! [X0] :
( ~ rf(X0,i2003_11_14_17_19_32337)
| sK3(sK1(X0)) = X0 ),
inference(resolution,[],[f340,f111]) ).
fof(f353,plain,
( sK2(i2003_11_14_17_19_32337) = sK3(sK1(sK2(i2003_11_14_17_19_32337)))
| ~ spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f345,f200]) ).
fof(f356,plain,
( ~ cc(sK2(i2003_11_14_17_19_32337))
| ~ cd(sK1(sK2(i2003_11_14_17_19_32337)))
| ~ spl4_1
| ~ spl4_2 ),
inference(superposition,[],[f101,f353]) ).
fof(f370,definition,
( spl4_10
<=> cd(sK1(sK2(i2003_11_14_17_19_32337))) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f372,plain,
( ~ cd(sK1(sK2(i2003_11_14_17_19_32337)))
| spl4_10 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f424,plain,
( ~ cd(sK1(sK2(i2003_11_14_17_19_32337)))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f356,f174]) ).
fof(f426,plain,
( ~ spl4_10
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f424,f173,f164,f160,f370]) ).
fof(f429,plain,
( ! [X0] :
( ~ rinvR(X0,sK2(i2003_11_14_17_19_32337))
| ~ cUnsatisfiable(X0) )
| spl4_10 ),
inference(resolution,[],[f372,f96]) ).
fof(f467,plain,
( ! [X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(sK2(i2003_11_14_17_19_32337),X0) )
| spl4_10 ),
inference(resolution,[],[f429,f108]) ).
fof(f471,plain,
( ~ rr(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
| spl4_10 ),
inference(resolution,[],[f467,f110]) ).
fof(f476,plain,
( ~ rf(sK2(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337)
| spl4_10 ),
inference(resolution,[],[f471,f111]) ).
fof(f478,plain,
( $false
| ~ spl4_1
| ~ spl4_2
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f476,f200]) ).
fof(f479,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_10 ),
inference(avatar_contradiction_clause,[],[f478]) ).
cnf(s3,plain,
spl4_1,
inference(sat_conversion,[],[f181]) ).
cnf(s4,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f186]) ).
cnf(s5,plain,
spl4_2,
inference(sat_conversion,[],[f193]) ).
cnf(s17,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_10 ),
inference(sat_conversion,[],[f426]) ).
cnf(s21,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_10 ),
inference(sat_conversion,[],[f479]) ).
cnf(s22,plain,
spl4_10,
inference(rat,[],[s21,s5,s3]) ).
cnf(s23,plain,
~ spl4_3,
inference(rat,[],[s17,s22,s5,s3]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s4,s23,s3]) ).
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS083+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % 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 13:20:39 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.86/1.31 % (1222868)Detected formulas, will run a generic FOF schedule.
% 2.86/1.31 % (1222875)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=500249123:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.86/1.31 % (1222874)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=2066746951:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.86/1.31 % (1222876)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1698217108:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.86/1.31 % (1222878)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1312189190:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.86/1.31 % (1222877)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1792215210:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.86/1.31 % (1222879)dis-21_1_sil=8000:lcm=predicate:random_seed=1143146574: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)
% 2.86/1.31 % (1222873)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=3273328790:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.86/1.31 % (1222877)Refutation not found, incomplete strategy
% 2.86/1.31 % (1222877)------------------------------
% 2.86/1.31 % (1222877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.31 % (1222877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.31 % (1222877)CaDiCaL version: 2.1.3
% 2.86/1.31 % (1222876)Refutation not found, incomplete strategy
% 2.86/1.31 % (1222876)------------------------------
% 2.86/1.31 % (1222876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.31 % (1222877)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.31 % (1222877)Time elapsed: 0.0000 s
% 2.86/1.31 % (1222877)Peak memory usage: 86 MB
% 2.86/1.31 % (1222876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.31 % (1222876)CaDiCaL version: 2.1.3
% 2.86/1.31 % (1222876)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.31 % (1222876)Time elapsed: 0.0000 s
% 2.86/1.31 % (1222876)Peak memory usage: 86 MB
% 2.86/1.31 % (1222878)First to succeed.
% 2.86/1.31 % (1222878)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1222868"
% 2.86/1.31 % (1222879)Instruction limit reached!
% 2.86/1.31 % (1222879)------------------------------
% 2.86/1.31 % (1222879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.31 % (1222879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.31 % (1222879)CaDiCaL version: 2.1.3
% 2.86/1.31 % (1222879)Termination reason: Instruction limit
% 2.86/1.31 % (1222879)Termination phase: Saturation
% 2.86/1.31 % (1222879)Time elapsed: 0.058 s
% 2.86/1.31 % (1222879)Peak memory usage: 88 MB
% 2.86/1.31 % (1222879)Instructions burned: 130 (million)
% 2.86/1.31 % (1222887)lrs+10_1_sil=8000:sp=occurrence:random_seed=1961174156:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.86/1.31 % (1222887)Refutation not found, incomplete strategy
% 2.86/1.31 % (1222887)------------------------------
% 2.86/1.31 % (1222887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.31 % (1222887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.31 % (1222887)CaDiCaL version: 2.1.3
% 2.86/1.31 % (1222887)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.31 % (1222887)Time elapsed: 0.001 s
% 2.86/1.31 % (1222887)Peak memory usage: 86 MB
% 2.86/1.31 % (1222877)------------------------------
% 2.86/1.31 % (1222877)------------------------------
% 2.86/1.31 % (1222876)------------------------------
% 2.86/1.31 % (1222876)------------------------------
% 2.86/1.31 % (1222878)Refutation found. Thanks to Tanya!
% 2.86/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.86/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.51 % (1222878)------------------------------
% 0.17/1.51 % (1222878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.51 % (1222878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.51 % (1222878)CaDiCaL version: 2.1.3
% 0.17/1.51 % (1222878)Termination reason: Refutation
% 0.17/1.51 % (1222878)Time elapsed: 0.016 s
% 0.17/1.51 % (1222878)Peak memory usage: 89 MB
% 0.17/1.51 % (1222878)Instructions burned: 20 (million)
% 0.17/1.51 % (1222878)------------------------------
% 0.17/1.51 % (1222878)------------------------------
% 0.17/1.51 % (1222868)Success in time 0.439 s
% 0.17/1.51 % Vampire exiting
%------------------------------------------------------------------------------