%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO182+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:51:50 AM UTC 2026
% Result : Theorem 2.30s 1.15s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 15 unt; 7 def)
% Number of atoms : 232 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 245 ( 100 ~; 122 |; 7 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn 83 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f22,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(flattening,[],[f23]) ).
fof(f27,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f37,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK1,sK0))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f18]) ).
fof(f38,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f39,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f40,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f37]) ).
fof(f41,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f55,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f41,f38]) ).
fof(f56,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f42,f38]) ).
fof(f58,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X2,X0)) ),
inference(resolution,[],[f43,f42]) ).
fof(f59,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,line_connecting(X2,X0)) ),
inference(resolution,[],[f43,f41]) ).
fof(f69,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK1,sK0))
| ~ apart_point_and_line(X0,line_connecting(X0,sK2)) ),
inference(resolution,[],[f58,f40]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4] :
( ~ distinct_points(X0,X2)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X4,X1)
| ~ apart_point_and_line(X4,X3) ),
inference(resolution,[],[f44,f47]) ).
fof(f81,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK1,sK0))
| ~ apart_point_and_line(sK2,line_connecting(X0,sK2)) ),
inference(resolution,[],[f59,f40]) ).
fof(f126,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(sK1,X1)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f74,f38]) ).
fof(f152,plain,
! [X0] :
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| ~ apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f126,f40]) ).
fof(f153,plain,
! [X0,X1] :
( apart_point_and_line(sK1,line_connecting(X0,sK2))
| apart_point_and_line(sK0,line_connecting(X0,sK2))
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK1,X1)
| ~ apart_point_and_line(sK2,X1)
| ~ apart_point_and_line(X0,line_connecting(sK1,sK0)) ),
inference(resolution,[],[f126,f81]) ).
fof(f155,definition,
( spl3_1
<=> ! [X1] :
( apart_point_and_line(sK0,X1)
| ~ apart_point_and_line(sK2,X1)
| apart_point_and_line(sK1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f156,plain,
( ! [X1] :
( ~ apart_point_and_line(sK2,X1)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK1,X1) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,definition,
( spl3_2
<=> ! [X0] :
( apart_point_and_line(sK1,line_connecting(X0,sK2))
| ~ apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(X0,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f159,plain,
( ! [X0] :
( apart_point_and_line(sK0,line_connecting(X0,sK2))
| ~ apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(X0,sK2)) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f153,f158,f155]) ).
fof(f162,definition,
( spl3_3
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f163,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,definition,
( spl3_4
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f166,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f167,plain,
( spl3_1
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f152,f165,f162,f155]) ).
fof(f176,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl3_3 ),
inference(resolution,[],[f163,f69]) ).
fof(f177,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK2))
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f176,f159]) ).
fof(f179,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK2))
| ~ apart_point_and_line(sK0,line_connecting(X0,sK0)) )
| ~ spl3_3 ),
inference(resolution,[],[f176,f59]) ).
fof(f182,definition,
( spl3_7
<=> apart_point_and_line(sK1,line_connecting(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f183,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK0))
| spl3_3 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f194,definition,
( spl3_8
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f195,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f197,definition,
( spl3_9
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f198,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl3_7
| ~ spl3_3
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f177,f162,f158,f162,f182]) ).
fof(f206,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl3_3
| ~ spl3_7 ),
inference(resolution,[],[f179,f183]) ).
fof(f210,plain,
( ~ spl3_3
| ~ spl3_3
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f206,f182,f162,f162]) ).
fof(f214,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK1,sK0))
| ~ apart_point_and_line(X0,line_connecting(X0,sK0)) )
| spl3_3 ),
inference(resolution,[],[f184,f58]) ).
fof(f228,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK0))
| spl3_3 ),
inference(factoring,[],[f214]) ).
fof(f229,plain,
( $false
| spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f228,f166]) ).
fof(f233,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f234,plain,
( $false
| ~ spl3_9 ),
inference(resolution,[],[f198,f56]) ).
fof(f237,plain,
~ spl3_9,
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f245,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f156,f39]) ).
fof(f250,plain,
( spl3_8
| spl3_9
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f245,f155,f197,f194]) ).
fof(f251,plain,
( $false
| ~ spl3_8 ),
inference(resolution,[],[f195,f55]) ).
fof(f254,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f251]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f160]) ).
cnf(s2,plain,
( spl3_1
| spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f167]) ).
cnf(s10,plain,
( ~ spl3_3
| ~ spl3_2
| ~ spl3_3
| spl3_7 ),
inference(sat_conversion,[],[f200]) ).
cnf(s11,plain,
( ~ spl3_2
| ~ spl3_3
| spl3_7 ),
inference(rat,[],[s10]) ).
cnf(s12,plain,
( ~ spl3_3
| ~ spl3_3
| ~ spl3_7 ),
inference(sat_conversion,[],[f210]) ).
cnf(s13,plain,
( ~ spl3_3
| ~ spl3_7 ),
inference(rat,[],[s12]) ).
cnf(s14,plain,
( spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f233]) ).
cnf(s15,plain,
~ spl3_9,
inference(sat_conversion,[],[f237]) ).
cnf(s18,plain,
( ~ spl3_1
| spl3_8
| spl3_9 ),
inference(sat_conversion,[],[f250]) ).
cnf(s19,plain,
~ spl3_8,
inference(sat_conversion,[],[f254]) ).
cnf(s20,plain,
( ~ spl3_1
| spl3_9 ),
inference(rat,[],[s18,s19]) ).
cnf(s21,plain,
~ spl3_1,
inference(rat,[],[s20,s15]) ).
cnf(s22,plain,
( spl3_3
| spl3_4 ),
inference(rat,[],[s2,s21]) ).
cnf(s23,plain,
spl3_2,
inference(rat,[],[s1,s21]) ).
cnf(s24,plain,
spl3_3,
inference(rat,[],[s22,s14]) ).
cnf(s25,plain,
~ spl3_7,
inference(rat,[],[s13,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s11,s23,s25,s24]) ).
fof(f255,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO182+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 07:26:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 2.30/1.15 % (1693838)Detected formulas, will run a generic FOF schedule.
% 2.30/1.15 % (1693849)dis-21_1_sil=8000:lcm=predicate:random_seed=3454364463: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)
% 2.30/1.15 % (1693849)First to succeed.
% 2.30/1.15 % (1693849)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1693838"
% 2.30/1.15 % (1693846)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3026036564:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.30/1.15 % (1693843)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=2931790049:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.30/1.15 % (1693847)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3110940753:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.30/1.15 % (1693845)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=3976028434:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.30/1.15 % (1693844)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=4196798553:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.30/1.15 % (1693848)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1581270815:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.30/1.15 % (1693848)Also succeeded, but the first one will report.
% 2.30/1.15 % (1693847)Instruction limit reached!
% 2.30/1.15 % (1693847)------------------------------
% 2.30/1.15 % (1693847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.15 % (1693847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.15 % (1693847)CaDiCaL version: 2.1.3
% 2.30/1.15 % (1693847)Termination reason: Instruction limit
% 2.30/1.15 % (1693847)Termination phase: Saturation
% 2.30/1.15 % (1693847)Time elapsed: 0.048 s
% 2.30/1.15 % (1693847)Peak memory usage: 87 MB
% 2.30/1.15 % (1693847)Instructions burned: 120 (million)
% 2.30/1.15 % (1693846)Instruction limit reached!
% 2.30/1.15 % (1693846)------------------------------
% 2.30/1.15 % (1693846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.15 % (1693846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.15 % (1693846)CaDiCaL version: 2.1.3
% 2.30/1.15 % (1693846)Termination reason: Instruction limit
% 2.30/1.15 % (1693846)Termination phase: Saturation
% 2.30/1.15 % (1693846)Time elapsed: 0.053 s
% 2.30/1.15 % (1693846)Peak memory usage: 88 MB
% 2.30/1.15 % (1693846)Instructions burned: 110 (million)
% 2.30/1.15 % (1693849)Refutation found. Thanks to Tanya!
% 2.30/1.15 % SZS status Theorem for theBenchmark
% 2.30/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.35 % (1693849)------------------------------
% 2.71/1.35 % (1693849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.35 % (1693849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.35 % (1693849)CaDiCaL version: 2.1.3
% 2.71/1.35 % (1693849)Termination reason: Refutation
% 2.71/1.35 % (1693849)Time elapsed: 0.004 s
% 2.71/1.35 % (1693849)Peak memory usage: 89 MB
% 2.71/1.35 % (1693849)Instructions burned: 7 (million)
% 2.71/1.35 % (1693849)------------------------------
% 2.71/1.35 % (1693849)------------------------------
% 2.71/1.35 % (1693838)Success in time 0.296 s
% 2.71/1.35 % Vampire exiting
%------------------------------------------------------------------------------