%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:52:57 AM UTC 2026
% Result : Theorem 3.12s 1.52s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 60 ( 33 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 103 ( 27 ~; 22 |; 49 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 78 ( 62 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) )
=> coll(X7,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214028) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) )
=> coll(X7,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f100,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X7,X6,X5)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f101,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X7,X6,X5)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X3,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X3,X0,X2)
& coll(X7,X0,X2) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f105,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f112,plain,
( ~ coll(sK7,sK6,sK5)
& perp(sK3,sK2,sK0,sK1)
& coll(sK3,sK0,sK1)
& perp(sK1,sK2,sK0,sK4)
& perp(sK0,sK2,sK1,sK4)
& perp(sK5,sK3,sK1,sK2)
& coll(sK5,sK1,sK2)
& perp(sK6,sK3,sK0,sK4)
& coll(sK6,sK0,sK4)
& perp(sK7,sK3,sK0,sK2)
& coll(sK7,sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f101]) ).
fof(f115,plain,
coll(sK7,sK0,sK2),
inference(cnf_transformation,[],[f112]) ).
fof(f117,plain,
coll(sK6,sK0,sK4),
inference(cnf_transformation,[],[f112]) ).
fof(f119,plain,
coll(sK5,sK1,sK2),
inference(cnf_transformation,[],[f112]) ).
fof(f123,plain,
coll(sK3,sK0,sK1),
inference(cnf_transformation,[],[f112]) ).
fof(f125,plain,
~ coll(sK7,sK6,sK5),
inference(cnf_transformation,[],[f112]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f139,plain,
! [X0] :
( ~ coll(sK7,sK0,X0)
| coll(X0,sK2,sK7) ),
inference(resolution,[],[f115,f126]) ).
fof(f140,plain,
coll(sK6,sK4,sK0),
inference(resolution,[],[f117,f128]) ).
fof(f143,plain,
coll(sK5,sK2,sK1),
inference(resolution,[],[f119,f128]) ).
fof(f144,plain,
coll(sK1,sK5,sK2),
inference(resolution,[],[f119,f127]) ).
fof(f146,plain,
coll(sK3,sK1,sK0),
inference(resolution,[],[f123,f128]) ).
fof(f147,plain,
coll(sK0,sK3,sK1),
inference(resolution,[],[f123,f127]) ).
fof(f163,plain,
! [X0] :
( ~ coll(sK6,sK4,X0)
| coll(X0,sK0,sK6) ),
inference(resolution,[],[f140,f126]) ).
fof(f173,plain,
! [X0] :
( ~ coll(sK5,sK2,X0)
| coll(X0,sK1,sK5) ),
inference(resolution,[],[f143,f126]) ).
fof(f176,plain,
coll(sK1,sK2,sK5),
inference(resolution,[],[f144,f128]) ).
fof(f178,plain,
! [X0] :
( ~ coll(sK1,sK5,X0)
| coll(X0,sK2,sK1) ),
inference(resolution,[],[f144,f126]) ).
fof(f180,plain,
coll(sK1,sK3,sK0),
inference(resolution,[],[f146,f127]) ).
fof(f184,plain,
! [X0] :
( ~ coll(sK0,sK3,X0)
| coll(X0,sK1,sK0) ),
inference(resolution,[],[f147,f126]) ).
fof(f214,plain,
! [X0] :
( ~ coll(sK1,sK2,X0)
| coll(X0,sK5,sK1) ),
inference(resolution,[],[f176,f126]) ).
fof(f219,plain,
! [X0] :
( ~ coll(sK1,sK3,X0)
| coll(X0,sK0,sK1) ),
inference(resolution,[],[f180,f126]) ).
fof(f245,plain,
coll(sK2,sK2,sK7),
inference(resolution,[],[f139,f115]) ).
fof(f248,plain,
! [X0] :
( ~ coll(sK2,sK2,X0)
| coll(X0,sK7,sK2) ),
inference(resolution,[],[f245,f126]) ).
fof(f318,plain,
coll(sK0,sK0,sK6),
inference(resolution,[],[f163,f140]) ).
fof(f322,plain,
! [X0] :
( ~ coll(sK0,sK0,X0)
| coll(X0,sK6,sK0) ),
inference(resolution,[],[f318,f126]) ).
fof(f327,plain,
coll(sK1,sK1,sK5),
inference(resolution,[],[f173,f143]) ).
fof(f331,plain,
! [X0] :
( ~ coll(sK1,sK1,X0)
| coll(X0,sK5,sK1) ),
inference(resolution,[],[f327,f126]) ).
fof(f332,plain,
coll(sK2,sK2,sK1),
inference(resolution,[],[f178,f144]) ).
fof(f341,plain,
coll(sK1,sK1,sK0),
inference(resolution,[],[f184,f147]) ).
fof(f442,plain,
coll(sK0,sK0,sK1),
inference(resolution,[],[f219,f180]) ).
fof(f452,plain,
coll(sK1,sK7,sK2),
inference(resolution,[],[f248,f332]) ).
fof(f455,plain,
coll(sK1,sK2,sK7),
inference(resolution,[],[f452,f128]) ).
fof(f551,plain,
coll(sK7,sK5,sK1),
inference(resolution,[],[f455,f214]) ).
fof(f586,plain,
coll(sK1,sK6,sK0),
inference(resolution,[],[f322,f442]) ).
fof(f600,plain,
coll(sK0,sK5,sK1),
inference(resolution,[],[f331,f341]) ).
fof(f665,plain,
coll(sK1,sK0,sK6),
inference(resolution,[],[f586,f128]) ).
fof(f674,plain,
coll(sK0,sK1,sK5),
inference(resolution,[],[f600,f128]) ).
fof(f771,plain,
coll(sK5,sK7,sK1),
inference(resolution,[],[f551,f127]) ).
fof(f915,plain,
! [X0] :
( ~ coll(sK1,sK0,X0)
| coll(X0,sK6,sK1) ),
inference(resolution,[],[f665,f126]) ).
fof(f929,plain,
coll(sK1,sK0,sK5),
inference(resolution,[],[f674,f127]) ).
fof(f990,plain,
coll(sK5,sK1,sK7),
inference(resolution,[],[f771,f128]) ).
fof(f1521,plain,
! [X0] :
( ~ coll(sK5,sK1,X0)
| coll(X0,sK7,sK5) ),
inference(resolution,[],[f990,f126]) ).
fof(f1795,plain,
coll(sK5,sK6,sK1),
inference(resolution,[],[f915,f929]) ).
fof(f2020,plain,
coll(sK5,sK1,sK6),
inference(resolution,[],[f1795,f128]) ).
fof(f2969,plain,
coll(sK6,sK7,sK5),
inference(resolution,[],[f1521,f2020]) ).
fof(f3472,plain,
coll(sK7,sK6,sK5),
inference(resolution,[],[f2969,f127]) ).
fof(f3474,plain,
$false,
inference(forward_subsumption_resolution,[],[f3472,f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:33:05 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.12/1.52 % (927330)Detected formulas, will run a generic FOF schedule.
% 3.12/1.52 % (927356)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=473177342:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.12/1.52 % (927355)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3307994177:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.12/1.52 % (927355)First to succeed.
% 3.12/1.52 % (927355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-927330"
% 3.12/1.52 % (927353)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=862477879:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.12/1.52 % (927352)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=1418479908:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.12/1.52 % (927357)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3678754760:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.12/1.52 % (927354)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2101747904:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.12/1.52 % (927356)Instruction limit reached!
% 3.12/1.52 % (927356)------------------------------
% 3.12/1.52 % (927356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.52 % (927356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.52 % (927356)CaDiCaL version: 2.1.3
% 3.12/1.52 % (927356)Termination reason: Instruction limit
% 3.12/1.52 % (927356)Termination phase: Saturation
% 3.12/1.52 % (927356)Time elapsed: 0.080 s
% 3.12/1.52 % (927356)Peak memory usage: 88 MB
% 3.12/1.52 % (927356)Instructions burned: 119 (million)
% 3.12/1.52 % (927358)dis-21_1_sil=8000:lcm=predicate:random_seed=4156292629:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.12/1.52 % (927357)Instruction limit reached!
% 3.12/1.52 % (927357)------------------------------
% 3.12/1.52 % (927357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.52 % (927357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.52 % (927357)CaDiCaL version: 2.1.3
% 3.12/1.52 % (927357)Termination reason: Instruction limit
% 3.12/1.52 % (927357)Termination phase: Saturation
% 3.12/1.52 % (927357)Time elapsed: 0.090 s
% 3.12/1.52 % (927357)Peak memory usage: 90 MB
% 3.12/1.52 % (927357)Instructions burned: 140 (million)
% 3.12/1.52 % (927358)Instruction limit reached!
% 3.12/1.52 % (927358)------------------------------
% 3.12/1.52 % (927358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.52 % (927358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.52 % (927358)CaDiCaL version: 2.1.3
% 3.12/1.52 % (927358)Termination reason: Instruction limit
% 3.12/1.52 % (927358)Termination phase: Saturation
% 3.12/1.52 % (927358)Time elapsed: 0.075 s
% 3.12/1.52 % (927358)Peak memory usage: 89 MB
% 3.12/1.52 % (927358)Instructions burned: 131 (million)
% 3.12/1.52 % (927355)Refutation found. Thanks to Tanya!
% 3.12/1.52 % SZS status Theorem for theBenchmark
% 3.12/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.12/1.52 % (927355)------------------------------
% 3.12/1.52 % (927355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.52 % (927355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.52 % (927355)CaDiCaL version: 2.1.3
% 3.12/1.52 % (927355)Termination reason: Refutation
% 3.12/1.52 % (927355)Time elapsed: 0.023 s
% 3.12/1.52 % (927355)Peak memory usage: 89 MB
% 3.12/1.52 % (927355)Instructions burned: 48 (million)
% 3.12/1.52 % (927355)------------------------------
% 3.12/1.52 % (927355)------------------------------
% 3.12/1.52 % (927330)Success in time 0.328 s
% 3.12/1.52 % Vampire exiting
%------------------------------------------------------------------------------