%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS122+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:41:42 AM UTC 2026
% Result : Unsatisfiable 3.48s 1.45s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 9 unt; 3 def)
% Number of atoms : 219 ( 9 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 250 ( 105 ~; 96 |; 36 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 92 ( 0 sgn 77 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f23,axiom,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f25,axiom,
! [X0] :
( ca_Ax2(X0)
<=> ( cp1(X0)
& ! [X1] :
( rinvF(X0,X1)
=> ca_Vx3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( rf(X0,X1)
& cp1xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f31,axiom,
cUnsatisfiable(i2003_11_14_17_21_55116),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f70,plain,
! [X0] :
( cp1(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f71,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( cp1(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF(X0,X1) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f72,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f73,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f72]) ).
fof(f77,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ? [X2] :
( rf(X0,X2)
& ca_Ax2(X2) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ ca_Ax2(X1) ) )
& ( ( rf(X0,sK0(X0))
& ca_Ax2(sK0(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f78]) ).
fof(f80,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp1(X0) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f81,plain,
! [X0] :
( ( cp1(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(rectify,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( cp1(X0)
| ra_Px1(X0,sK1(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f81]) ).
fof(f83,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cp1xcomp(X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f84,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cp1xcomp(X0) ) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ( cp1xcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK2(X0))
| ~ cp1xcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f84]) ).
fof(f86,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp1(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF(X0,X1) ) )
& ( ( cp1(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF(X0,X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f87,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp1(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF(X0,X1) ) )
& ( ( cp1(X0)
& ! [X1] :
( ca_Vx3(X1)
| ~ rinvF(X0,X1) ) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp1(X0)
| ? [X1] :
( ~ ca_Vx3(X1)
& rinvF(X0,X1) ) )
& ( ( cp1(X0)
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( ca_Ax2(X0)
| ~ cp1(X0)
| ( ~ ca_Vx3(sK3(X0))
& rinvF(X0,sK3(X0)) ) )
& ( ( cp1(X0)
& ! [X2] :
( ca_Vx3(X2)
| ~ rinvF(X0,X2) ) )
| ~ ca_Ax2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f88]) ).
fof(f90,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp1xcomp(X1) ) )
& ( ? [X1] :
( rf(X0,X1)
& cp1xcomp(X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f91,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp1xcomp(X1) ) )
& ( ? [X2] :
( rf(X0,X2)
& cp1xcomp(X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp1xcomp(X1) ) )
& ( ( rf(X0,sK4(X0))
& cp1xcomp(sK4(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f118,plain,
! [X0] :
( ca_Ax2(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f119,plain,
! [X0] :
( rf(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f123,plain,
! [X0] :
( ra_Px1(X0,sK2(X0))
| ~ cp1xcomp(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f125,plain,
! [X2,X0] :
( ca_Vx3(X2)
| ~ rinvF(X0,X2)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f126,plain,
! [X0] :
( cp1(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f129,plain,
! [X0] :
( cp1xcomp(sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f130,plain,
! [X0] :
( rf(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f134,plain,
! [X0,X1] :
( rinvF(X0,X1)
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f138,plain,
cUnsatisfiable(i2003_11_14_17_21_55116),
inference(cnf_transformation,[],[f31]) ).
fof(f158,plain,
! [X0] :
( ~ cp1xcomp(X0)
| ~ cp1(X0) ),
inference(resolution,[],[f123,f121]) ).
fof(f160,plain,
! [X0] :
( ~ ca_Vx3(X0)
| ~ cp1(sK4(X0)) ),
inference(resolution,[],[f158,f129]) ).
fof(f164,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf(X0,X1)
| sK0(X0) = X1 ),
inference(resolution,[],[f132,f119]) ).
fof(f170,plain,
! [X0] :
( ~ rf(i2003_11_14_17_21_55116,X0)
| sK0(i2003_11_14_17_21_55116) = X0 ),
inference(resolution,[],[f164,f138]) ).
fof(f173,plain,
( sK0(i2003_11_14_17_21_55116) = sK4(i2003_11_14_17_21_55116)
| ~ ca_Vx3(i2003_11_14_17_21_55116) ),
inference(resolution,[],[f170,f130]) ).
fof(f175,definition,
( spl5_1
<=> ca_Vx3(i2003_11_14_17_21_55116) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f176,plain,
( ca_Vx3(i2003_11_14_17_21_55116)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f177,plain,
( ~ ca_Vx3(i2003_11_14_17_21_55116)
| spl5_1 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f179,definition,
( spl5_2
<=> sK0(i2003_11_14_17_21_55116) = sK4(i2003_11_14_17_21_55116) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f181,plain,
( sK0(i2003_11_14_17_21_55116) = sK4(i2003_11_14_17_21_55116)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f173,f179,f175]) ).
fof(f186,plain,
( ! [X0] :
( ~ rinvF(X0,i2003_11_14_17_21_55116)
| ~ ca_Ax2(X0) )
| spl5_1 ),
inference(resolution,[],[f177,f125]) ).
fof(f200,plain,
( ! [X0] :
( ~ rf(i2003_11_14_17_21_55116,X0)
| ~ ca_Ax2(X0) )
| spl5_1 ),
inference(resolution,[],[f186,f134]) ).
fof(f203,plain,
( ~ ca_Ax2(sK0(i2003_11_14_17_21_55116))
| ~ cUnsatisfiable(i2003_11_14_17_21_55116)
| spl5_1 ),
inference(resolution,[],[f200,f119]) ).
fof(f205,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f203,f118]) ).
fof(f206,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f205,f138]) ).
fof(f207,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f210,plain,
( ~ cp1(sK4(i2003_11_14_17_21_55116))
| ~ spl5_1 ),
inference(resolution,[],[f176,f160]) ).
fof(f217,plain,
( ~ cp1(sK0(i2003_11_14_17_21_55116))
| ~ spl5_1
| ~ spl5_2 ),
inference(superposition,[],[f210,f181]) ).
fof(f227,definition,
( spl5_5
<=> cp1(sK0(i2003_11_14_17_21_55116)) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f229,plain,
( ~ cp1(sK0(i2003_11_14_17_21_55116))
| spl5_5 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,plain,
( ~ spl5_5
| ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f217,f179,f175,f227]) ).
fof(f239,plain,
( ~ ca_Ax2(sK0(i2003_11_14_17_21_55116))
| spl5_5 ),
inference(resolution,[],[f229,f126]) ).
fof(f247,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
| spl5_5 ),
inference(resolution,[],[f239,f118]) ).
fof(f250,plain,
( $false
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f247,f138]) ).
fof(f251,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f250]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f182]) ).
cnf(s2,plain,
spl5_1,
inference(sat_conversion,[],[f207]) ).
cnf(s5,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_5 ),
inference(sat_conversion,[],[f231]) ).
cnf(s7,plain,
spl5_5,
inference(sat_conversion,[],[f251]) ).
cnf(s8,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(rat,[],[s5,s7]) ).
cnf(s10,plain,
~ spl5_2,
inference(rat,[],[s8,s2]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s10,s2]) ).
fof(f252,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS122+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n005.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 13:27:17 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.26 % (3988532)Detected formulas, will run a generic FOF schedule.
% 2.66/1.26 % (3988540)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=554367096:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.26 % (3988540)Refutation not found, incomplete strategy
% 2.66/1.26 % (3988540)------------------------------
% 2.66/1.26 % (3988540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (3988540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (3988540)CaDiCaL version: 2.1.3
% 2.66/1.26 % (3988540)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.26 % (3988540)Time elapsed: 0.0000 s
% 2.66/1.26 % (3988540)Peak memory usage: 86 MB
% 2.66/1.26 % (3988537)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=1734884103:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.26 % (3988541)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3943345877:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.26 % (3988538)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=4249413022:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.26 % (3988542)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2132317373:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.26 % (3988539)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=3356597554:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.26 % (3988541)Refutation not found, incomplete strategy
% 2.66/1.26 % (3988541)------------------------------
% 2.66/1.26 % (3988541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (3988541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (3988541)CaDiCaL version: 2.1.3
% 2.66/1.26 % (3988541)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.26 % (3988541)Time elapsed: 0.0000 s
% 2.66/1.26 % (3988541)Peak memory usage: 86 MB
% 2.66/1.26 % (3988542)First to succeed.
% 2.66/1.26 % (3988542)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3988532"
% 2.66/1.26 % (3988543)dis-21_1_sil=8000:lcm=predicate:random_seed=220540605: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)
% 2.66/1.26 % (3988543)Instruction limit reached!
% 2.66/1.26 % (3988543)------------------------------
% 2.66/1.26 % (3988543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (3988543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (3988543)CaDiCaL version: 2.1.3
% 2.66/1.26 % (3988543)Termination reason: Instruction limit
% 2.66/1.26 % (3988543)Termination phase: Saturation
% 2.66/1.26 % (3988543)Time elapsed: 0.068 s
% 2.66/1.26 % (3988543)Peak memory usage: 88 MB
% 2.66/1.26 % (3988543)Instructions burned: 129 (million)
% 2.66/1.26 % (3988540)------------------------------
% 2.66/1.26 % (3988540)------------------------------
% 2.66/1.26 % (3988552)lrs+10_1_sil=32000:urr=on:br=off:random_seed=582801172:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.66/1.26 % (3988552)Refutation not found, incomplete strategy
% 2.66/1.26 % (3988552)------------------------------
% 2.66/1.26 % (3988552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (3988552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (3988552)CaDiCaL version: 2.1.3
% 2.66/1.26 % (3988552)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.26 % (3988552)Time elapsed: 0.0000 s
% 2.66/1.26 % (3988552)Peak memory usage: 87 MB
% 2.66/1.26 % (3988551)lrs+10_1_sil=8000:sp=occurrence:random_seed=4159621999:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.66/1.26 % (3988551)Refutation not found, incomplete strategy
% 2.66/1.26 % (3988551)------------------------------
% 2.66/1.26 % (3988551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (3988551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (3988551)CaDiCaL version: 2.1.3
% 3.48/1.45 % (3988551)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.45 % (3988551)Time elapsed: 0.001 s
% 3.48/1.45 % (3988551)Peak memory usage: 86 MB
% 3.48/1.45 % (3988541)------------------------------
% 3.48/1.45 % (3988541)------------------------------
% 3.48/1.45 % (3988542)Refutation found. Thanks to Tanya!
% 3.48/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.45 % (3988542)------------------------------
% 3.48/1.45 % (3988542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (3988542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (3988542)CaDiCaL version: 2.1.3
% 3.48/1.45 % (3988542)Termination reason: Refutation
% 3.48/1.45 % (3988542)Time elapsed: 0.006 s
% 3.48/1.45 % (3988542)Peak memory usage: 89 MB
% 3.48/1.45 % (3988542)Instructions burned: 6 (million)
% 3.48/1.45 % (3988542)------------------------------
% 3.48/1.45 % (3988542)------------------------------
% 3.48/1.45 % (3988532)Success in time 0.404 s
% 3.48/1.45 % Vampire exiting
%------------------------------------------------------------------------------