%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO013-3 : 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 : n020.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 09:51:12 AM UTC 2026
% Result : Unsatisfiable 6.18s 1.92s
% Output : Refutation 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 15 unt; 1 def)
% Number of atoms : 57 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 24 |; 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 : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t12_2) ).
fof(f117,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
fof(f118,axiom,
colinear(a,b,d1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_colinear) ).
fof(f119,axiom,
colinear(a,b,d2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abd2_colinear) ).
fof(f120,axiom,
colinear(a,b,d3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abd3_colinear) ).
fof(f121,negated_conjecture,
~ colinear(d1,d2,d3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d1d2d3_colinear) ).
fof(f307,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d1)
| a = b ),
inference(resolution,[],[f111,f118]) ).
fof(f309,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d3)
| a = b ),
inference(resolution,[],[f111,f120]) ).
fof(f342,definition,
( spl0_5
<=> a = d2 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f343,plain,
( a != d2
| spl0_5 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( a = d2
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f400,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d3) ),
inference(forward_subsumption_resolution,[],[f309,f117]) ).
fof(f402,plain,
! [X0] :
( ~ colinear(a,b,X0)
| colinear(a,X0,d1) ),
inference(forward_subsumption_resolution,[],[f307,f117]) ).
fof(f651,plain,
( ~ colinear(d1,a,d3)
| ~ spl0_5 ),
inference(superposition,[],[f121,f344]) ).
fof(f868,plain,
colinear(a,d1,d3),
inference(resolution,[],[f400,f118]) ).
fof(f869,plain,
colinear(a,d2,d3),
inference(resolution,[],[f400,f119]) ).
fof(f886,plain,
colinear(d1,a,d3),
inference(resolution,[],[f868,f104]) ).
fof(f905,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f886,f651]) ).
fof(f906,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f967,plain,
colinear(a,d2,d1),
inference(resolution,[],[f402,f119]) ).
fof(f1017,plain,
! [X0] :
( ~ colinear(a,d2,X0)
| colinear(d2,X0,d3)
| a = d2 ),
inference(resolution,[],[f869,f112]) ).
fof(f1032,plain,
( ! [X0] :
( ~ colinear(a,d2,X0)
| colinear(d2,X0,d3) )
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f1017,f343]) ).
fof(f3260,plain,
( colinear(d2,d1,d3)
| spl0_5 ),
inference(resolution,[],[f1032,f967]) ).
fof(f3270,plain,
( colinear(d1,d2,d3)
| spl0_5 ),
inference(resolution,[],[f3260,f104]) ).
fof(f3279,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f3270,f121]) ).
fof(f3280,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f3279]) ).
cnf(s42,plain,
~ spl0_5,
inference(sat_conversion,[],[f906]) ).
cnf(s166,plain,
spl0_5,
inference(sat_conversion,[],[f3280]) ).
cnf(s178,plain,
$false,
inference(rat,[],[s42,s166]) ).
fof(f3294,plain,
$false,
inference(avatar_sat_refutation,[],[s178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 06:35:34 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 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
% 6.18/1.92 % (3048645)Input is clausal, will run a generic CNF schedule.
% 6.18/1.92 % (3048687)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2807599444:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.18/1.92 % (3048686)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=3504015495:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.18/1.92 % (3048691)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2902146204:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.18/1.92 % (3048694)dis-21_1_sil=8000:lcm=predicate:random_seed=2823990178: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)
% 6.18/1.92 % (3048690)lrs+10_1_sil=8000:sp=occurrence:random_seed=1050253662:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.18/1.92 % (3048692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4262229311:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.18/1.92 % (3048688)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1683664299:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.18/1.92 % (3048691)Instruction limit reached!
% 6.18/1.92 % (3048691)------------------------------
% 6.18/1.92 % (3048691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.92 % (3048691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.92 % (3048691)CaDiCaL version: 2.1.3
% 6.18/1.92 % (3048691)Termination reason: Instruction limit
% 6.18/1.92 % (3048691)Termination phase: Saturation
% 6.18/1.92 % (3048691)Time elapsed: 0.111 s
% 6.18/1.92 % (3048691)Peak memory usage: 88 MB
% 6.18/1.92 % (3048691)Instructions burned: 114 (million)
% 6.18/1.92 % (3048694)Instruction limit reached!
% 6.18/1.92 % (3048694)------------------------------
% 6.18/1.92 % (3048694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.92 % (3048694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.92 % (3048694)CaDiCaL version: 2.1.3
% 6.18/1.92 % (3048694)Termination reason: Instruction limit
% 6.18/1.92 % (3048694)Termination phase: Saturation
% 6.18/1.92 % (3048694)Time elapsed: 0.118 s
% 6.18/1.92 % (3048694)Peak memory usage: 89 MB
% 6.18/1.92 % (3048694)Instructions burned: 117 (million)
% 6.18/1.92 % (3048690)First to succeed.
% 6.18/1.92 % (3048690)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3048645"
% 6.18/1.92 % (3048692)Instruction limit reached!
% 6.18/1.92 % (3048692)------------------------------
% 6.18/1.92 % (3048692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.92 % (3048692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.92 % (3048692)CaDiCaL version: 2.1.3
% 6.18/1.92 % (3048692)Termination reason: Instruction limit
% 6.18/1.92 % (3048692)Termination phase: Saturation
% 6.18/1.92 % (3048692)Time elapsed: 0.188 s
% 6.18/1.92 % (3048692)Peak memory usage: 89 MB
% 6.18/1.92 % (3048692)Instructions burned: 180 (million)
% 6.18/1.92 % (3048705)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=4145073192:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.18/1.92 % (3048706)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3991828248:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.18/1.92 % (3048705)Also succeeded, but the first one will report.
% 6.18/1.92 % (3048687)Also succeeded, but the first one will report.
% 6.18/1.92 % (3048709)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4258282807:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.18/1.92 % (3048690)Refutation found. Thanks to Tanya!
% 6.18/1.92 % SZS status Unsatisfiable for theBenchmark
% 6.18/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 6.18/1.92 % (3048690)------------------------------
% 6.18/1.92 % (3048690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.92 % (3048690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.92 % (3048690)CaDiCaL version: 2.1.3
% 6.18/1.92 % (3048690)Termination reason: Refutation
% 6.18/1.92 % (3048690)Time elapsed: 0.084 s
% 6.18/1.92 % (3048690)Peak memory usage: 90 MB
% 6.18/1.92 % (3048690)Instructions burned: 81 (million)
% 6.18/1.92 % (3048690)------------------------------
% 6.18/1.92 % (3048690)------------------------------
% 6.18/1.92 % (3048645)Success in time 0.78 s
% 6.18/1.92 % Vampire exiting
%------------------------------------------------------------------------------