%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:51:09 AM UTC 2026
% Result : Unsatisfiable 1.67s 1.40s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 11 unt; 2 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 30 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f64,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).
fof(f65,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b9) ).
fof(f89,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3)
| between(X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).
fof(f91,axiom,
between(a,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_e) ).
fof(f92,axiom,
between(a,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_between_a_and_e) ).
fof(f93,axiom,
between(c,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_c_and_d) ).
fof(f94,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_betweenness) ).
fof(f96,plain,
between(e,d,a),
inference(resolution,[],[f54,f92]) ).
fof(f100,plain,
! [X0] :
( ~ between(a,X0,c)
| between(X0,c,e) ),
inference(resolution,[],[f61,f91]) ).
fof(f111,plain,
! [X0] :
( ~ between(X0,c,d)
| between(X0,b,d) ),
inference(resolution,[],[f64,f93]) ).
fof(f119,plain,
! [X0] :
( ~ between(a,X0,d)
| between(a,X0,e) ),
inference(resolution,[],[f65,f92]) ).
fof(f122,plain,
! [X0] :
( ~ between(e,X0,d)
| between(e,X0,a) ),
inference(resolution,[],[f65,f96]) ).
fof(f129,plain,
! [X0] :
( ~ between(a,X0,e)
| between(a,X0,c)
| between(a,c,X0) ),
inference(resolution,[],[f89,f91]) ).
fof(f165,plain,
( between(a,d,c)
| between(a,c,d) ),
inference(resolution,[],[f129,f92]) ).
fof(f170,definition,
( spl0_1
<=> between(a,c,d) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f172,plain,
( between(a,c,d)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f174,definition,
( spl0_2
<=> between(a,d,c) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f176,plain,
( between(a,d,c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f165,f174,f170]) ).
fof(f179,plain,
( between(d,c,e)
| ~ spl0_2 ),
inference(resolution,[],[f176,f100]) ).
fof(f196,plain,
( between(e,c,d)
| ~ spl0_2 ),
inference(resolution,[],[f179,f54]) ).
fof(f213,plain,
( between(e,b,d)
| ~ spl0_2 ),
inference(resolution,[],[f196,f111]) ).
fof(f264,plain,
( between(e,b,a)
| ~ spl0_2 ),
inference(resolution,[],[f122,f213]) ).
fof(f272,plain,
( between(a,b,e)
| ~ spl0_2 ),
inference(resolution,[],[f264,f54]) ).
fof(f273,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f272,f94]) ).
fof(f274,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f287,plain,
( between(a,b,d)
| ~ spl0_1 ),
inference(resolution,[],[f172,f111]) ).
fof(f309,plain,
( between(a,b,e)
| ~ spl0_1 ),
inference(resolution,[],[f287,f119]) ).
fof(f317,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f309,f94]) ).
fof(f318,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f317]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f177]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f274]) ).
cnf(s6,plain,
~ spl0_1,
inference(sat_conversion,[],[f318]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s2,s6]) ).
fof(f319,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 % Computer : n017.cluster.edu
% 0.10/0.41 % Model : x86_64 x86_64
% 0.10/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41 % Memory : 8046.5625MB
% 0.10/0.41 % OS : Linux 6.8.0-71-generic
% 0.10/0.41 % CPULimit : 300
% 0.10/0.41 % WCLimit : 300
% 0.10/0.41 % DateTime : Sun Sep 27 06:25:50 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 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
% 1.67/1.40 % (2185016)Input is clausal, will run a generic CNF schedule.
% 1.67/1.40 % (2185021)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=865280121:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.67/1.40 % (2185026)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=129730631:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.67/1.40 % (2185024)lrs+10_1_sil=8000:sp=occurrence:random_seed=14198796:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.67/1.40 % (2185022)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3432520205:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.67/1.40 % (2185023)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1234445919:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.67/1.40 % (2185025)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=794121013:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.67/1.40 % (2185024)First to succeed.
% 1.67/1.40 % (2185024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2185016"
% 1.67/1.40 % (2185027)dis-21_1_sil=8000:lcm=predicate:random_seed=1423265910:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.67/1.40 % (2185025)Instruction limit reached!
% 1.67/1.40 % (2185025)------------------------------
% 1.67/1.40 % (2185025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.40 % (2185025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.40 % (2185025)CaDiCaL version: 2.1.3
% 1.67/1.40 % (2185025)Termination reason: Instruction limit
% 1.67/1.40 % (2185025)Termination phase: Saturation
% 1.67/1.40 % (2185025)Time elapsed: 0.069 s
% 1.67/1.40 % (2185025)Peak memory usage: 89 MB
% 1.67/1.40 % (2185025)Instructions burned: 115 (million)
% 1.67/1.40 % (2185027)Instruction limit reached!
% 1.67/1.40 % (2185027)------------------------------
% 1.67/1.40 % (2185027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.40 % (2185027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.40 % (2185027)CaDiCaL version: 2.1.3
% 1.67/1.40 % (2185027)Termination reason: Instruction limit
% 1.67/1.40 % (2185027)Termination phase: Saturation
% 1.67/1.40 % (2185027)Time elapsed: 0.070 s
% 1.67/1.40 % (2185027)Peak memory usage: 89 MB
% 1.67/1.40 % (2185027)Instructions burned: 118 (million)
% 1.67/1.40 % (2185026)Instruction limit reached!
% 1.67/1.40 % (2185026)------------------------------
% 1.67/1.40 % (2185026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.40 % (2185026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.40 % (2185026)CaDiCaL version: 2.1.3
% 1.67/1.40 % (2185026)Termination reason: Instruction limit
% 1.67/1.40 % (2185026)Termination phase: Saturation
% 1.67/1.40 % (2185026)Time elapsed: 0.115 s
% 1.67/1.40 % (2185026)Peak memory usage: 90 MB
% 1.67/1.40 % (2185026)Instructions burned: 180 (million)
% 1.67/1.40 % (2185035)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1741477528:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.67/1.40 % (2185035)Also succeeded, but the first one will report.
% 1.67/1.40 % (2185036)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1391075145:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 1.67/1.40 % (2185036)Also succeeded, but the first one will report.
% 1.67/1.40 % (2185037)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4106613206:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 1.67/1.40 % (2185024)Refutation found. Thanks to Tanya!
% 1.67/1.40 % SZS status Unsatisfiable for theBenchmark
% 1.67/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.40 % (2185024)------------------------------
% 3.50/1.40 % (2185024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.40 % (2185024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.40 % (2185024)CaDiCaL version: 2.1.3
% 3.50/1.40 % (2185024)Termination reason: Refutation
% 3.50/1.40 % (2185024)Time elapsed: 0.005 s
% 3.50/1.40 % (2185024)Peak memory usage: 89 MB
% 3.50/1.40 % (2185024)Instructions burned: 6 (million)
% 3.50/1.40 % (2185024)------------------------------
% 3.50/1.40 % (2185024)------------------------------
% 3.50/1.40 % (2185016)Success in time 0.414 s
% 3.50/1.40 % Vampire exiting
%------------------------------------------------------------------------------