%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO181+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 1.81s 1.30s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 21 unt; 7 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 230 ( 92 ~; 112 |; 10 &)
% ( 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 : 98 ( 0 sgn 92 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f9,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/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X1,line_connecting(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X1,line_connecting(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f20,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f21,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,[],[f9]) ).
fof(f22,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,[],[f21]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f34,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK2))
& 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)],[f16]) ).
fof(f35,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f36,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f37,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f34]) ).
fof(f38,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f39,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,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,[],[f22]) ).
fof(f43,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(resolution,[],[f38,f43]) ).
fof(f60,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f59,f35]) ).
fof(f63,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ apart_point_and_line(X1,X2) ),
inference(resolution,[],[f59,f40]) ).
fof(f64,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(resolution,[],[f39,f43]) ).
fof(f67,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f64,f35]) ).
fof(f71,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ apart_point_and_line(X0,X2) ),
inference(resolution,[],[f64,f40]) ).
fof(f75,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,[],[f41,f44]) ).
fof(f96,plain,
! [X0] :
( ~ apart_point_and_line(sK1,line_connecting(X0,sK1))
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f63,f60]) ).
fof(f99,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,[],[f75,f35]) ).
fof(f117,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(resolution,[],[f96,f36]) ).
fof(f135,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(X0,sK1))
| ~ apart_point_and_line(X0,line_connecting(sK2,sK1)) ),
inference(resolution,[],[f71,f117]) ).
fof(f249,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(factoring,[],[f135]) ).
fof(f254,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(X0,sK2))
| ~ apart_point_and_line(X0,line_connecting(sK2,sK1)) ),
inference(resolution,[],[f249,f71]) ).
fof(f255,plain,
! [X0] :
( apart_point_and_line(sK1,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| ~ apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f249,f99]) ).
fof(f256,plain,
! [X0] :
( ~ apart_point_and_line(sK2,line_connecting(X0,sK2))
| ~ apart_point_and_line(X0,line_connecting(sK2,sK1)) ),
inference(resolution,[],[f249,f63]) ).
fof(f258,definition,
( spl3_1
<=> ! [X0] :
( apart_point_and_line(sK0,X0)
| ~ apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f259,plain,
( ! [X0] :
( ~ apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,definition,
( spl3_2
<=> apart_point_and_line(sK0,line_connecting(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f262,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,definition,
( spl3_3
<=> apart_point_and_line(sK1,line_connecting(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f265,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( spl3_1
| spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f255,f264,f261,f258]) ).
fof(f304,definition,
( spl3_6
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f305,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,definition,
( spl3_7
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f308,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f413,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl3_2 ),
inference(resolution,[],[f254,f262]) ).
fof(f500,definition,
( spl3_12
<=> apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f501,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f523,plain,
( $false
| ~ spl3_6 ),
inference(resolution,[],[f305,f60]) ).
fof(f529,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f559,plain,
( $false
| ~ spl3_2
| ~ spl3_12 ),
inference(resolution,[],[f501,f413]) ).
fof(f562,plain,
( ~ spl3_2
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f664,plain,
( $false
| ~ spl3_3 ),
inference(resolution,[],[f265,f117]) ).
fof(f668,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f739,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(sK2,sK1))
| 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) ),
inference(resolution,[],[f256,f99]) ).
fof(f748,definition,
( spl3_17
<=> ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,line_connecting(X0,sK2))
| apart_point_and_line(sK1,line_connecting(X0,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f749,plain,
( ! [X0] :
( apart_point_and_line(sK1,line_connecting(X0,sK2))
| apart_point_and_line(sK0,line_connecting(X0,sK2))
| ~ apart_point_and_line(X0,line_connecting(sK2,sK1)) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( spl3_1
| spl3_17 ),
inference(avatar_split_clause,[],[f739,f748,f258]) ).
fof(f751,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
| ~ spl3_17 ),
inference(resolution,[],[f749,f37]) ).
fof(f755,plain,
( ~ spl3_2
| spl3_12
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f751,f748,f500,f261]) ).
fof(f756,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f259,f36]) ).
fof(f762,plain,
( spl3_6
| spl3_7
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f756,f258,f307,f304]) ).
fof(f763,plain,
( $false
| ~ spl3_7 ),
inference(resolution,[],[f308,f67]) ).
fof(f766,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f763]) ).
cnf(s1,plain,
( spl3_1
| spl3_2
| spl3_3 ),
inference(sat_conversion,[],[f266]) ).
cnf(s18,plain,
~ spl3_6,
inference(sat_conversion,[],[f529]) ).
cnf(s19,plain,
( ~ spl3_2
| ~ spl3_12 ),
inference(sat_conversion,[],[f562]) ).
cnf(s26,plain,
~ spl3_3,
inference(sat_conversion,[],[f668]) ).
cnf(s31,plain,
( spl3_1
| spl3_17 ),
inference(sat_conversion,[],[f750]) ).
cnf(s32,plain,
( ~ spl3_2
| spl3_12
| ~ spl3_17 ),
inference(sat_conversion,[],[f755]) ).
cnf(s34,plain,
( ~ spl3_1
| spl3_6
| spl3_7 ),
inference(sat_conversion,[],[f762]) ).
cnf(s35,plain,
~ spl3_7,
inference(sat_conversion,[],[f766]) ).
cnf(s36,plain,
( ~ spl3_1
| spl3_6 ),
inference(rat,[],[s34,s35]) ).
cnf(s37,plain,
~ spl3_1,
inference(rat,[],[s36,s18]) ).
cnf(s38,plain,
spl3_17,
inference(rat,[],[s31,s37]) ).
cnf(s42,plain,
spl3_2,
inference(rat,[],[s1,s26,s37]) ).
cnf(s43,plain,
spl3_12,
inference(rat,[],[s32,s38,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s19,s43,s42]) ).
fof(f767,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO181+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 07:25:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 1.81/1.30 % (1071037)Detected formulas, will run a generic FOF schedule.
% 1.81/1.30 % (1071046)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2392215798:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.81/1.30 % (1071046)Instruction limit reached!
% 1.81/1.30 % (1071046)------------------------------
% 1.81/1.30 % (1071046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.30 % (1071046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.30 % (1071046)CaDiCaL version: 2.1.3
% 1.81/1.30 % (1071046)Termination reason: Instruction limit
% 1.81/1.30 % (1071046)Termination phase: Saturation
% 1.81/1.30 % (1071046)Time elapsed: 0.026 s
% 1.81/1.30 % (1071046)Peak memory usage: 87 MB
% 1.81/1.30 % (1071046)Instructions burned: 121 (million)
% 1.81/1.30 % (1071048)dis-21_1_sil=8000:lcm=predicate:random_seed=1378398302: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)
% 1.81/1.30 % (1071044)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=3212959235:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.81/1.30 % (1071042)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=720002281:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.81/1.30 % (1071043)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=1116494870:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.81/1.30 % (1071045)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=454849676:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.81/1.30 % (1071047)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2064887197:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.81/1.30 % (1071048)First to succeed.
% 1.81/1.30 % (1071048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1071037"
% 1.81/1.30 % (1071047)Also succeeded, but the first one will report.
% 1.81/1.30 % (1071045)Instruction limit reached!
% 1.81/1.30 % (1071045)------------------------------
% 1.81/1.30 % (1071045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.30 % (1071045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.30 % (1071045)CaDiCaL version: 2.1.3
% 1.81/1.30 % (1071045)Termination reason: Instruction limit
% 1.81/1.30 % (1071045)Termination phase: Saturation
% 1.81/1.30 % (1071045)Time elapsed: 0.054 s
% 1.81/1.30 % (1071045)Peak memory usage: 88 MB
% 1.81/1.30 % (1071045)Instructions burned: 110 (million)
% 1.81/1.30 % (1071050)lrs+10_1_sil=8000:sp=occurrence:random_seed=2904943031:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.81/1.30 % (1071050)Also succeeded, but the first one will report.
% 1.81/1.30 % (1071057)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3604185229:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.81/1.30 % (1071057)Also succeeded, but the first one will report.
% 1.81/1.30 % (1071048)Refutation found. Thanks to Tanya!
% 1.81/1.30 % SZS status Theorem for theBenchmark
% 1.81/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.50 % (1071048)------------------------------
% 3.87/1.50 % (1071048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.50 % (1071048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.50 % (1071048)CaDiCaL version: 2.1.3
% 3.87/1.50 % (1071048)Termination reason: Refutation
% 3.87/1.50 % (1071048)Time elapsed: 0.023 s
% 3.87/1.50 % (1071048)Peak memory usage: 89 MB
% 3.87/1.50 % (1071048)Instructions burned: 37 (million)
% 3.87/1.50 % (1071048)------------------------------
% 3.87/1.50 % (1071048)------------------------------
% 3.87/1.50 % (1071037)Success in time 0.452 s
% 3.87/1.50 % Vampire exiting
%------------------------------------------------------------------------------