%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:51:25 AM UTC 2026
% Result : Unsatisfiable 2.76s 1.35s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 10 unt; 3 def)
% Number of atoms : 68 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 33 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity2) ).
fof(f56,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f59,axiom,
! [X0,X1] : between(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
fof(f100,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
fof(f101,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).
fof(f106,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| x = y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_1) ).
fof(f107,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_2) ).
fof(f109,plain,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(x,z,y) ),
inference(forward_subsumption_resolution,[],[f107,f100]) ).
fof(f110,plain,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| x = y ),
inference(forward_subsumption_resolution,[],[f106,f100]) ).
fof(f111,plain,
( ~ colinear(x,x,y)
| ~ colinear(x,z,y) ),
inference(forward_subsumption_resolution,[],[f109,f101]) ).
fof(f112,plain,
( ~ colinear(x,x,y)
| x = y ),
inference(forward_subsumption_resolution,[],[f110,f101]) ).
fof(f114,definition,
( spl0_1
<=> colinear(x,z,y) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f116,plain,
( ~ colinear(x,z,y)
| spl0_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl0_2
<=> colinear(x,x,y) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f120,plain,
( ~ colinear(x,x,y)
| spl0_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f111,f118,f114]) ).
fof(f123,definition,
( spl0_3
<=> x = y ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f125,plain,
( x = y
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f112,f118,f123]) ).
fof(f130,plain,
! [X0,X1] : colinear(X0,X0,X1),
inference(resolution,[],[f19,f59]) ).
fof(f131,plain,
! [X0,X1] : colinear(X0,X1,X0),
inference(resolution,[],[f20,f56]) ).
fof(f135,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f130,f120]) ).
fof(f136,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f137,plain,
( ~ colinear(x,z,x)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f116,f125]) ).
fof(f138,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f137,f131]) ).
fof(f139,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f138]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f121]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f126]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f136]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f139]) ).
cnf(s5,plain,
spl0_3,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
spl0_1,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s3,s6]) ).
fof(f140,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 06:49:14 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 2.76/1.35 % (2750027)Input is clausal, will run a generic CNF schedule.
% 2.76/1.35 % (2750035)lrs+10_1_sil=8000:sp=occurrence:random_seed=3178037100:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.76/1.35 % (2750035)First to succeed.
% 2.76/1.35 % (2750035)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2750027"
% 2.76/1.35 % (2750038)dis-21_1_sil=8000:lcm=predicate:random_seed=4294343081: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)
% 2.76/1.35 % (2750036)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2430373580:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.76/1.35 % (2750034)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=355665648:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.76/1.35 % (2750032)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=3960635905:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.76/1.35 % (2750033)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4002296026:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.76/1.35 % (2750037)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1061546631:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.76/1.35 % (2750036)Also succeeded, but the first one will report.
% 2.76/1.35 % (2750037)Also succeeded, but the first one will report.
% 2.76/1.35 % (2750038)Instruction limit reached!
% 2.76/1.35 % (2750038)------------------------------
% 2.76/1.35 % (2750038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.35 % (2750038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.35 % (2750038)CaDiCaL version: 2.1.3
% 2.76/1.35 % (2750038)Termination reason: Instruction limit
% 2.76/1.35 % (2750038)Termination phase: Saturation
% 2.76/1.35 % (2750038)Time elapsed: 0.063 s
% 2.76/1.35 % (2750038)Peak memory usage: 88 MB
% 2.76/1.35 % (2750038)Instructions burned: 118 (million)
% 2.76/1.35 % (2750035)Refutation found. Thanks to Tanya!
% 2.76/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.76/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.35 % (2750035)------------------------------
% 2.76/1.35 % (2750035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.35 % (2750035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.35 % (2750035)CaDiCaL version: 2.1.3
% 2.76/1.35 % (2750035)Termination reason: Refutation
% 2.76/1.35 % (2750035)Time elapsed: 0.002 s
% 2.76/1.35 % (2750035)Peak memory usage: 89 MB
% 2.76/1.35 % (2750035)Instructions burned: 2 (million)
% 2.76/1.35 % (2750035)------------------------------
% 2.76/1.35 % (2750035)------------------------------
% 2.76/1.35 % (2750027)Success in time 0.31 s
% 2.76/1.35 % Vampire exiting
%------------------------------------------------------------------------------