%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO177+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 : 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 09:51:48 AM UTC 2026
% Result : Theorem 2.80s 1.26s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 13 unt; 4 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 221 ( 79 ~; 115 |; 15 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 69 !; 8 ?)
% 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(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,X3] :
( ( distinct_points(X0,X1)
& distinct_points(X2,X3) )
=> ( ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_points(X2,X3) )
=> ( ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,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(f28,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,[],[f27]) ).
fof(f31,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(f32,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
& distinct_points(X0,X1)
& distinct_points(X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
& distinct_points(X0,X1)
& distinct_points(X2,X3) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,line_connecting(sK2,sK3)) )
& distinct_points(sK0,sK1)
& distinct_points(sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f36]) ).
fof(f44,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,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,[],[f28]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f58,definition,
( spl4_1
<=> apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f60,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,definition,
( spl4_2
<=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f64,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f54,f62,f58]) ).
fof(f69,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f50,f64]) ).
fof(f71,plain,
( ! [X2,X0,X1] :
( apart_point_and_line(sK0,X1)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X2,X1)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,line_connecting(sK2,sK3))
| apart_point_and_line(X0,X1) )
| ~ spl4_2 ),
inference(resolution,[],[f48,f69]) ).
fof(f72,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(sK0,X1)
| apart_point_and_line(X0,line_connecting(sK0,X1))
| ~ distinct_points(X2,X0)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X2,line_connecting(sK0,X1))
| apart_point_and_line(X0,line_connecting(sK2,sK3)) )
| ~ spl4_2 ),
inference(resolution,[],[f71,f44]) ).
fof(f82,plain,
( ! [X0,X1] :
( apart_point_and_line(X1,line_connecting(sK2,sK3))
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK2,sK3)) )
| ~ spl4_2 ),
inference(resolution,[],[f72,f53]) ).
fof(f88,plain,
( ! [X0] :
( ~ distinct_points(sK2,X0)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK2,sK3))
| ~ distinct_points(sK2,sK3) )
| ~ spl4_2 ),
inference(resolution,[],[f82,f44]) ).
fof(f95,plain,
( ! [X0] :
( ~ distinct_points(sK2,X0)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK2,sK3))
| ~ distinct_points(sK2,sK3) )
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f88,f56]) ).
fof(f97,plain,
( ! [X0] :
( ~ distinct_points(sK2,X0)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK2,sK3)) )
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f95,f52]) ).
fof(f104,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK3,line_connecting(sK2,sK3))
| ~ spl4_2 ),
inference(resolution,[],[f97,f52]) ).
fof(f107,plain,
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f104,f55]) ).
fof(f113,plain,
( ~ distinct_points(sK2,sK3)
| ~ spl4_2 ),
inference(resolution,[],[f107,f45]) ).
fof(f116,plain,
( $false
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f113,f52]) ).
fof(f117,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f118,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f60,f50]) ).
fof(f121,plain,
( ! [X2,X0,X1] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X2,X0)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X1,line_connecting(sK2,sK3)) )
| ~ spl4_1 ),
inference(resolution,[],[f118,f48]) ).
fof(f124,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X1,sK1)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X2,line_connecting(X1,sK1))
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,line_connecting(sK2,sK3))
| apart_point_and_line(X0,line_connecting(X1,sK1)) )
| ~ spl4_1 ),
inference(resolution,[],[f121,f45]) ).
fof(f138,plain,
( ! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK2,sK3))
| apart_point_and_line(X1,line_connecting(sK2,sK3))
| apart_point_and_line(X1,line_connecting(sK0,sK1)) )
| ~ spl4_1 ),
inference(resolution,[],[f124,f53]) ).
fof(f147,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| ~ spl4_1 ),
inference(resolution,[],[f138,f52]) ).
fof(f149,plain,
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f147,f55]) ).
fof(f150,plain,
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f149,f56]) ).
fof(f152,definition,
( spl4_3
<=> apart_point_and_line(sK2,line_connecting(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f154,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f156,definition,
( spl4_4
<=> apart_point_and_line(sK3,line_connecting(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f158,plain,
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( spl4_3
| spl4_4
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f150,f58,f156,f152]) ).
fof(f165,plain,
( ~ distinct_points(sK2,sK3)
| ~ spl4_4 ),
inference(resolution,[],[f158,f45]) ).
fof(f168,plain,
( $false
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f165,f52]) ).
fof(f169,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f176,plain,
( ~ distinct_points(sK2,sK3)
| ~ spl4_3 ),
inference(resolution,[],[f154,f44]) ).
fof(f179,plain,
( $false
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f176,f52]) ).
fof(f180,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f179]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
~ spl4_2,
inference(sat_conversion,[],[f117]) ).
cnf(s3,plain,
( ~ spl4_1
| spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f159]) ).
cnf(s4,plain,
~ spl4_4,
inference(sat_conversion,[],[f169]) ).
cnf(s5,plain,
~ spl4_3,
inference(sat_conversion,[],[f180]) ).
cnf(s6,plain,
~ spl4_1,
inference(rat,[],[s3,s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s2,s6]) ).
fof(f181,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO177+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 07:24:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.80/1.26 % (3650882)Detected formulas, will run a generic FOF schedule.
% 2.80/1.26 % (3650891)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1299572173:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.80/1.26 % (3650891)Instruction limit reached!
% 2.80/1.26 % (3650891)------------------------------
% 2.80/1.26 % (3650891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.26 % (3650891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.26 % (3650891)CaDiCaL version: 2.1.3
% 2.80/1.26 % (3650891)Termination reason: Instruction limit
% 2.80/1.26 % (3650891)Termination phase: Saturation
% 2.80/1.26 % (3650891)Time elapsed: 0.028 s
% 2.80/1.26 % (3650891)Peak memory usage: 87 MB
% 2.80/1.26 % (3650891)Instructions burned: 120 (million)
% 2.80/1.26 % (3650892)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1795068902:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.80/1.26 % (3650893)dis-21_1_sil=8000:lcm=predicate:random_seed=3492575797: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)
% 2.80/1.26 % (3650890)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=667414703:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.80/1.26 % (3650887)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=2881703116:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.80/1.26 % (3650889)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=3150499801:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.80/1.26 % (3650888)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=1322461613:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.80/1.26 % (3650892)First to succeed.
% 2.80/1.26 % (3650892)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3650882"
% 2.80/1.26 % (3650893)Also succeeded, but the first one will report.
% 2.80/1.26 % (3650890)Instruction limit reached!
% 2.80/1.26 % (3650890)------------------------------
% 2.80/1.26 % (3650890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.26 % (3650890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.26 % (3650890)CaDiCaL version: 2.1.3
% 2.80/1.26 % (3650890)Termination reason: Instruction limit
% 2.80/1.26 % (3650890)Termination phase: Saturation
% 2.80/1.26 % (3650890)Time elapsed: 0.058 s
% 2.80/1.26 % (3650890)Peak memory usage: 88 MB
% 2.80/1.26 % (3650890)Instructions burned: 109 (million)
% 2.80/1.26 % (3650895)lrs+10_1_sil=8000:sp=occurrence:random_seed=757771493:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.80/1.26 % (3650895)Also succeeded, but the first one will report.
% 2.80/1.26 % (3650902)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3591867457:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.80/1.26 % (3650902)Also succeeded, but the first one will report.
% 2.80/1.26 % (3650892)Refutation found. Thanks to Tanya!
% 2.80/1.26 % SZS status Theorem for theBenchmark
% 2.80/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.35 % (3650892)------------------------------
% 3.44/1.35 % (3650892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.35 % (3650892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.35 % (3650892)CaDiCaL version: 2.1.3
% 3.44/1.35 % (3650892)Termination reason: Refutation
% 3.44/1.35 % (3650892)Time elapsed: 0.008 s
% 3.44/1.35 % (3650892)Peak memory usage: 89 MB
% 3.44/1.35 % (3650892)Instructions burned: 11 (million)
% 3.44/1.35 % (3650892)------------------------------
% 3.44/1.35 % (3650892)------------------------------
% 3.44/1.35 % (3650882)Success in time 0.421 s
% 3.44/1.35 % Vampire exiting
%------------------------------------------------------------------------------