%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO069-3 : 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 : n001.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 09:51:26 AM UTC 2026
% Result : Unsatisfiable 3.66s 1.47s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 17 unt; 2 def)
% Number of atoms : 53 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f111,axiom,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2)
| colinear(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_1) ).
fof(f113,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
fof(f114,axiom,
colinear(w,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wvu_colinear) ).
fof(f115,axiom,
colinear(x,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xvu_colinear) ).
fof(f116,negated_conjecture,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).
fof(f120,definition,
( spl0_1
<=> colinear(x,w,v) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f122,plain,
( ~ colinear(x,w,v)
| spl0_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl0_2
<=> colinear(x,w,u) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f126,plain,
( ~ colinear(x,w,u)
| spl0_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f116,f124,f120]) ).
fof(f147,plain,
colinear(u,v,w),
inference(resolution,[],[f100,f114]) ).
fof(f148,plain,
colinear(u,v,x),
inference(resolution,[],[f100,f115]) ).
fof(f153,plain,
colinear(v,u,w),
inference(resolution,[],[f101,f114]) ).
fof(f154,plain,
colinear(v,u,x),
inference(resolution,[],[f101,f115]) ).
fof(f282,plain,
! [X0] :
( ~ colinear(v,u,X0)
| colinear(v,X0,x)
| u = v ),
inference(resolution,[],[f111,f154]) ).
fof(f288,plain,
! [X0] :
( ~ colinear(u,v,X0)
| colinear(u,X0,x)
| u = v ),
inference(resolution,[],[f111,f148]) ).
fof(f325,plain,
! [X0] :
( ~ colinear(u,v,X0)
| colinear(u,X0,x) ),
inference(forward_subsumption_resolution,[],[f288,f113]) ).
fof(f343,plain,
! [X0] :
( ~ colinear(v,u,X0)
| colinear(v,X0,x) ),
inference(forward_subsumption_resolution,[],[f282,f113]) ).
fof(f775,plain,
colinear(u,w,x),
inference(resolution,[],[f325,f147]) ).
fof(f786,plain,
colinear(x,w,u),
inference(resolution,[],[f775,f100]) ).
fof(f795,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f786,f126]) ).
fof(f796,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f1120,plain,
colinear(v,w,x),
inference(resolution,[],[f343,f153]) ).
fof(f1795,plain,
colinear(x,w,v),
inference(resolution,[],[f1120,f100]) ).
fof(f1804,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1795,f122]) ).
fof(f1805,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1804]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f127]) ).
cnf(s43,plain,
spl0_2,
inference(sat_conversion,[],[f796]) ).
cnf(s96,plain,
spl0_1,
inference(sat_conversion,[],[f1805]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s1,s43,s96]) ).
fof(f1808,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.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 06:55:15 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
% 3.66/1.47 % (3210024)Input is clausal, will run a generic CNF schedule.
% 3.66/1.47 % (3210033)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3678651021:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.47 % (3210035)dis-21_1_sil=8000:lcm=predicate:random_seed=1592998586: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)
% 3.66/1.47 % (3210032)lrs+10_1_sil=8000:sp=occurrence:random_seed=3493620505:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.47 % (3210029)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=534161714:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.47 % (3210030)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=675140772:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.47 % (3210031)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1946381756:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.47 % (3210033)Instruction limit reached!
% 3.66/1.47 % (3210033)------------------------------
% 3.66/1.47 % (3210033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.47 % (3210033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.47 % (3210033)CaDiCaL version: 2.1.3
% 3.66/1.47 % (3210033)Termination reason: Instruction limit
% 3.66/1.47 % (3210033)Termination phase: Saturation
% 3.66/1.47 % (3210033)Time elapsed: 0.036 s
% 3.66/1.47 % (3210033)Peak memory usage: 89 MB
% 3.66/1.47 % (3210033)Instructions burned: 117 (million)
% 3.66/1.47 % (3210034)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3630684234:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.47 % (3210032)First to succeed.
% 3.66/1.47 % (3210032)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3210024"
% 3.66/1.47 % (3210035)Instruction limit reached!
% 3.66/1.47 % (3210035)------------------------------
% 3.66/1.47 % (3210035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.47 % (3210035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.47 % (3210035)CaDiCaL version: 2.1.3
% 3.66/1.47 % (3210035)Termination reason: Instruction limit
% 3.66/1.47 % (3210035)Termination phase: Saturation
% 3.66/1.47 % (3210035)Time elapsed: 0.064 s
% 3.66/1.47 % (3210035)Peak memory usage: 89 MB
% 3.66/1.47 % (3210035)Instructions burned: 117 (million)
% 3.66/1.47 % (3210043)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=731091163:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.66/1.47 % (3210043)Also succeeded, but the first one will report.
% 3.66/1.47 % (3210034)Instruction limit reached!
% 3.66/1.47 % (3210034)------------------------------
% 3.66/1.47 % (3210034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.47 % (3210034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.47 % (3210034)CaDiCaL version: 2.1.3
% 3.66/1.47 % (3210034)Termination reason: Instruction limit
% 3.66/1.47 % (3210034)Termination phase: Saturation
% 3.66/1.47 % (3210034)Time elapsed: 0.118 s
% 3.66/1.47 % (3210034)Peak memory usage: 89 MB
% 3.66/1.47 % (3210034)Instructions burned: 180 (million)
% 3.66/1.47 % (3210044)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2306844761: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)
% 3.66/1.47 % (3210046)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1978866980:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.66/1.47 % (3210032)Refutation found. Thanks to Tanya!
% 3.66/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.47 % (3210032)------------------------------
% 3.66/1.47 % (3210032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.47 % (3210032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.47 % (3210032)CaDiCaL version: 2.1.3
% 3.66/1.47 % (3210032)Termination reason: Refutation
% 3.66/1.47 % (3210032)Time elapsed: 0.031 s
% 3.66/1.47 % (3210032)Peak memory usage: 90 MB
% 3.66/1.47 % (3210032)Instructions burned: 49 (million)
% 3.66/1.47 % (3210032)------------------------------
% 3.66/1.47 % (3210032)------------------------------
% 3.66/1.47 % (3210024)Success in time 0.438 s
% 3.66/1.47 % Vampire exiting
%------------------------------------------------------------------------------