%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:53:16 AM UTC 2026
% Result : Unsatisfiable 1.31s 0.77s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 16 unt; 1 def)
% Number of atoms : 60 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 21 ~; 25 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_3) ).
fof(f104,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_5) ).
fof(f111,axiom,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2)
| colinear(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_1) ).
fof(f112,axiom,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2)
| colinear(X1,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_2) ).
fof(f117,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
fof(f118,axiom,
colinear(a,b,d1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_colinear) ).
fof(f119,axiom,
colinear(a,b,d2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd2_colinear) ).
fof(f120,axiom,
colinear(a,b,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd3_colinear) ).
fof(f121,negated_conjecture,
~ colinear(d1,d2,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d1d2d3_colinear) ).
fof(f5879,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d2)
| a = b ),
inference(resolution,[],[f111,f119]) ).
fof(f5880,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d3)
| a = b ),
inference(resolution,[],[f111,f120]) ).
fof(f5899,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d3) ),
inference(forward_subsumption_resolution,[],[f5880,f117]) ).
fof(f5900,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d2) ),
inference(forward_subsumption_resolution,[],[f5879,f117]) ).
fof(f5912,plain,
colinear(a,d1,d3),
inference(resolution,[],[f5899,f118]) ).
fof(f5913,plain,
colinear(a,d2,d3),
inference(resolution,[],[f5899,f119]) ).
fof(f6014,plain,
colinear(a,d1,d2),
inference(resolution,[],[f5900,f118]) ).
fof(f6095,plain,
colinear(d1,a,d3),
inference(resolution,[],[f5912,f104]) ).
fof(f6208,definition,
( spl0_59
<=> a = d2 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f6209,plain,
( a != d2
| spl0_59 ),
inference(avatar_component_clause,[],[f6208]) ).
fof(f6210,plain,
( a = d2
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f6208]) ).
fof(f6216,plain,
( ~ colinear(d1,a,d3)
| ~ spl0_59 ),
inference(superposition,[],[f121,f6210]) ).
fof(f6228,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f6216,f6095]) ).
fof(f6229,plain,
~ spl0_59,
inference(avatar_contradiction_clause,[],[f6228]) ).
fof(f6266,plain,
! [X0] :
( ~ colinear(a,d2,X0)
| colinear(d2,X0,d3)
| a = d2 ),
inference(resolution,[],[f5913,f112]) ).
fof(f6267,plain,
( ! [X0] :
( ~ colinear(a,d2,X0)
| colinear(d2,X0,d3) )
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f6266,f6209]) ).
fof(f6271,plain,
colinear(a,d2,d1),
inference(resolution,[],[f6014,f102]) ).
fof(f7403,plain,
( colinear(d2,d1,d3)
| spl0_59 ),
inference(resolution,[],[f6267,f6271]) ).
fof(f7472,plain,
( colinear(d1,d2,d3)
| spl0_59 ),
inference(resolution,[],[f7403,f104]) ).
fof(f7475,plain,
( $false
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f7472,f121]) ).
fof(f7476,plain,
spl0_59,
inference(avatar_contradiction_clause,[],[f7475]) ).
cnf(s3041,plain,
~ spl0_59,
inference(sat_conversion,[],[f6229]) ).
cnf(s3753,plain,
spl0_59,
inference(sat_conversion,[],[f7476]) ).
cnf(s3766,plain,
$false,
inference(rat,[],[s3041,s3753]) ).
fof(f7477,plain,
$false,
inference(avatar_sat_refutation,[],[s3766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44 % Computer : n019.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 06:34:50 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/0.77 % (2743898)Will run a generic schedule for satisfiability detection.
% 1.31/0.77 % (2743908)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=847911366:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.31/0.77 % (2743907)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2876456364:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.31/0.77 % (2743904)% WARNING: option uhcvi not known.
% 1.31/0.77 % (2743905)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3753550376:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.31/0.77 % (2743903)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1422172012_2999 on theBenchmark for (2999ds/0Mi)
% 1.31/0.77 % (2743904)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=28613533:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.31/0.77 % (2743906)dis+10_1_sil=32000:sp=arity:random_seed=2228215458:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.31/0.77 % (2743909)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1075498887:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.31/0.77 % Detected minimum model sizes of [3]
% 1.31/0.77 % Detected maximum model sizes of [max]
% 1.31/0.77 % TRYING [3]
% 1.31/0.77 % (2743908)Instruction limit reached!
% 1.31/0.77 % (2743908)------------------------------
% 1.31/0.77 % (2743908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.77 % (2743908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.77 % (2743908)CaDiCaL version: 2.1.3
% 1.31/0.77 % (2743908)Termination reason: Instruction limit
% 1.31/0.77 % (2743908)Termination phase: Saturation
% 1.31/0.77 % (2743908)Time elapsed: 0.069 s
% 1.31/0.77 % (2743908)Peak memory usage: 12 MB
% 1.31/0.77 % (2743908)Instructions burned: 133 (million)
% 1.31/0.77 % (2743917)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1833788955:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.31/0.77 % Detected minimum model sizes of [3]
% 1.31/0.77 % Detected maximum model sizes of [max]
% 1.31/0.77 % TRYING [3]
% 1.31/0.77 % (2743907)Instruction limit reached!
% 1.31/0.77 % (2743907)------------------------------
% 1.31/0.77 % (2743907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.77 % (2743907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.77 % (2743907)CaDiCaL version: 2.1.3
% 1.31/0.77 % (2743907)Termination reason: Instruction limit
% 1.31/0.77 % (2743907)Termination phase: Saturation
% 1.31/0.77 % (2743907)Time elapsed: 0.106 s
% 1.31/0.77 % (2743907)Peak memory usage: 12 MB
% 1.31/0.77 % (2743907)Instructions burned: 116 (million)
% 1.31/0.77 % (2743906)Instruction limit reached!
% 1.31/0.77 % (2743906)------------------------------
% 1.31/0.77 % (2743906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.77 % (2743906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.77 % (2743906)CaDiCaL version: 2.1.3
% 1.31/0.77 % (2743906)Termination reason: Instruction limit
% 1.31/0.77 % (2743906)Termination phase: Saturation
% 1.31/0.77 % (2743906)Time elapsed: 0.103 s
% 1.31/0.77 % (2743906)Peak memory usage: 12 MB
% 1.31/0.77 % (2743906)Instructions burned: 103 (million)
% 1.31/0.77 % (2743919)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=127082881:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.31/0.77 % (2743920)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=555353537:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.31/0.77 % TRYING [4]
% 1.31/0.77 % TRYING [4]
% 1.31/0.77 % (2743909)Instruction limit reached!
% 1.31/0.77 % (2743909)------------------------------
% 1.31/0.77 % (2743909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.77 % (2743909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.77 % (2743909)CaDiCaL version: 2.1.3
% 1.31/0.77 % (2743909)Termination reason: Instruction limit
% 1.31/0.77 % (2743909)Termination phase: Saturation
% 1.31/0.77 % (2743909)Time elapsed: 0.166 s
% 1.31/0.77 % (2743909)Peak memory usage: 13 MB
% 1.31/0.77 % (2743909)Instructions burned: 159 (million)
% 1.31/0.77 % (2743923)ott-21_1_sil=16000:fs=off:random_seed=2696250668:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.31/0.77 % (2743905) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2743898-2743905"...
% 1.31/0.77 % (2743905)...printing done.
% 1.31/0.77 % (2743905)Refutation found. Thanks to Tanya!
% 1.31/0.77 % SZS status Unsatisfiable for theBenchmark
% 1.31/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.77 % (2743905)------------------------------
% 1.31/0.77 % (2743905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.77 % (2743905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.77 % (2743905)CaDiCaL version: 2.1.3
% 1.31/0.77 % (2743905)Termination reason: Refutation
% 1.31/0.77 % (2743905)Time elapsed: 0.214 s
% 1.31/0.77 % (2743905)Peak memory usage: 14 MB
% 1.31/0.77 % (2743905)Instructions burned: 226 (million)
% 1.31/0.77 % (2743898)Success in time 0.255 s
% 1.31/0.77 % Vampire exiting
%------------------------------------------------------------------------------