%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO547+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 : n011.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 09:52:54 AM UTC 2026
% Result : Theorem 3.56s 1.46s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 87 ( 24 ~; 19 |; 39 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 79 ( 61 !; 18 ?)
% 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,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) )
=> coll(X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012007) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) )
=> coll(X5,X6,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f100,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ coll(X5,X6,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f101,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ coll(X5,X6,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& perp(X5,X4,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X4,X0,X1)
& coll(X7,X0,X1) ),
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(f129,plain,
( ~ coll(sK5,sK6,sK7)
& circle(sK3,sK0,sK1,sK2)
& circle(sK3,sK0,sK4,sK8)
& perp(sK5,sK4,sK1,sK2)
& coll(sK5,sK1,sK2)
& perp(sK6,sK4,sK0,sK2)
& coll(sK6,sK0,sK2)
& perp(sK7,sK4,sK0,sK1)
& coll(sK7,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f101]) ).
fof(f135,plain,
coll(sK7,sK0,sK1),
inference(cnf_transformation,[],[f129]) ).
fof(f137,plain,
coll(sK6,sK0,sK2),
inference(cnf_transformation,[],[f129]) ).
fof(f139,plain,
coll(sK5,sK1,sK2),
inference(cnf_transformation,[],[f129]) ).
fof(f143,plain,
~ coll(sK5,sK6,sK7),
inference(cnf_transformation,[],[f129]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f166,plain,
coll(sK7,sK1,sK0),
inference(resolution,[],[f135,f146]) ).
fof(f168,plain,
! [X0] :
( ~ coll(sK7,sK0,X0)
| coll(X0,sK1,sK7) ),
inference(resolution,[],[f135,f144]) ).
fof(f169,plain,
coll(sK6,sK2,sK0),
inference(resolution,[],[f137,f146]) ).
fof(f171,plain,
! [X0] :
( ~ coll(sK6,sK0,X0)
| coll(X0,sK2,sK6) ),
inference(resolution,[],[f137,f144]) ).
fof(f172,plain,
coll(sK5,sK2,sK1),
inference(resolution,[],[f139,f146]) ).
fof(f174,plain,
! [X0] :
( ~ coll(sK5,sK1,X0)
| coll(X0,sK2,sK5) ),
inference(resolution,[],[f139,f144]) ).
fof(f177,plain,
! [X0] :
( ~ coll(sK7,sK1,X0)
| coll(X0,sK0,sK7) ),
inference(resolution,[],[f166,f144]) ).
fof(f187,plain,
! [X0] :
( ~ coll(sK6,sK2,X0)
| coll(X0,sK0,sK6) ),
inference(resolution,[],[f169,f144]) ).
fof(f205,plain,
! [X0] :
( ~ coll(sK5,sK2,X0)
| coll(X0,sK1,sK5) ),
inference(resolution,[],[f172,f144]) ).
fof(f249,plain,
coll(sK1,sK1,sK7),
inference(resolution,[],[f168,f135]) ).
fof(f252,plain,
! [X0] :
( ~ coll(sK1,sK1,X0)
| coll(X0,sK7,sK1) ),
inference(resolution,[],[f249,f144]) ).
fof(f291,plain,
coll(sK0,sK0,sK7),
inference(resolution,[],[f177,f166]) ).
fof(f294,plain,
! [X0] :
( ~ coll(sK0,sK0,X0)
| coll(X0,sK7,sK0) ),
inference(resolution,[],[f291,f144]) ).
fof(f299,plain,
coll(sK0,sK0,sK6),
inference(resolution,[],[f187,f169]) ).
fof(f307,plain,
coll(sK1,sK1,sK5),
inference(resolution,[],[f205,f172]) ).
fof(f380,plain,
coll(sK5,sK7,sK1),
inference(resolution,[],[f252,f307]) ).
fof(f402,plain,
coll(sK5,sK1,sK7),
inference(resolution,[],[f380,f146]) ).
fof(f479,plain,
coll(sK6,sK7,sK0),
inference(resolution,[],[f294,f299]) ).
fof(f520,plain,
coll(sK7,sK2,sK5),
inference(resolution,[],[f402,f174]) ).
fof(f573,plain,
coll(sK6,sK0,sK7),
inference(resolution,[],[f479,f146]) ).
fof(f674,plain,
! [X0] :
( ~ coll(sK7,sK2,X0)
| coll(X0,sK5,sK7) ),
inference(resolution,[],[f520,f144]) ).
fof(f775,plain,
coll(sK7,sK2,sK6),
inference(resolution,[],[f573,f171]) ).
fof(f1310,plain,
coll(sK6,sK5,sK7),
inference(resolution,[],[f674,f775]) ).
fof(f1483,plain,
coll(sK5,sK6,sK7),
inference(resolution,[],[f1310,f145]) ).
fof(f1485,plain,
$false,
inference(forward_subsumption_resolution,[],[f1483,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.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 08:29:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.56/1.46 % (2094235)Detected formulas, will run a generic FOF schedule.
% 3.56/1.46 % (2094244)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2915058824:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.56/1.46 % (2094244)Instruction limit reached!
% 3.56/1.46 % (2094244)------------------------------
% 3.56/1.46 % (2094244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.46 % (2094244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.46 % (2094244)CaDiCaL version: 2.1.3
% 3.56/1.46 % (2094244)Termination reason: Instruction limit
% 3.56/1.46 % (2094244)Termination phase: Saturation
% 3.56/1.46 % (2094244)Time elapsed: 0.038 s
% 3.56/1.46 % (2094244)Peak memory usage: 88 MB
% 3.56/1.46 % (2094244)Instructions burned: 122 (million)
% 3.56/1.46 % (2094240)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=2428361150:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.56/1.46 % (2094246)dis-21_1_sil=8000:lcm=predicate:random_seed=1983671421: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)
% 3.56/1.46 % (2094243)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1278974769:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.56/1.46 % (2094241)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=1113987394:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.56/1.46 % (2094242)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=4015434385:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.56/1.46 % (2094245)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1449483866:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.56/1.46 % (2094243)First to succeed.
% 3.56/1.46 % (2094243)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2094235"
% 3.56/1.46 % (2094246)Instruction limit reached!
% 3.56/1.46 % (2094246)------------------------------
% 3.56/1.46 % (2094246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.46 % (2094245)Instruction limit reached!
% 3.56/1.46 % (2094245)------------------------------
% 3.56/1.46 % (2094245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.46 % (2094245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.46 % (2094246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.46 % (2094245)CaDiCaL version: 2.1.3
% 3.56/1.46 % (2094246)CaDiCaL version: 2.1.3
% 3.56/1.46 % (2094245)Termination reason: Instruction limit
% 3.56/1.46 % (2094245)Termination phase: Saturation
% 3.56/1.46 % (2094245)Time elapsed: 0.066 s
% 3.56/1.46 % (2094246)Termination reason: Instruction limit
% 3.56/1.46 % (2094246)Termination phase: Saturation
% 3.56/1.46 % (2094245)Peak memory usage: 88 MB
% 3.56/1.46 % (2094246)Time elapsed: 0.075 s
% 3.56/1.46 % (2094246)Peak memory usage: 88 MB
% 3.56/1.46 % (2094245)Instructions burned: 140 (million)
% 3.56/1.46 % (2094246)Instructions burned: 132 (million)
% 3.56/1.46 % (2094253)lrs+10_1_sil=8000:sp=occurrence:random_seed=4078682805:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.56/1.46 % (2094253)Instruction limit reached!
% 3.56/1.46 % (2094253)------------------------------
% 3.56/1.46 % (2094253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.46 % (2094253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.46 % (2094253)CaDiCaL version: 2.1.3
% 3.56/1.46 % (2094253)Termination reason: Instruction limit
% 3.56/1.46 % (2094253)Termination phase: Saturation
% 3.56/1.46 % (2094253)Time elapsed: 0.100 s
% 3.56/1.46 % (2094253)Peak memory usage: 92 MB
% 3.56/1.46 % (2094253)Instructions burned: 285 (million)
% 3.56/1.46 % (2094255)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1696436278:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.56/1.46 % (2094256)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2192821772:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.56/1.46 % (2094255)Also succeeded, but the first one will report.
% 3.56/1.46 % (2094243)Refutation found. Thanks to Tanya!
% 3.56/1.46 % SZS status Theorem for theBenchmark
% 3.56/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.46 % (2094243)------------------------------
% 3.56/1.46 % (2094243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.46 % (2094243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.46 % (2094243)CaDiCaL version: 2.1.3
% 3.56/1.46 % (2094243)Termination reason: Refutation
% 3.56/1.46 % (2094243)Time elapsed: 0.015 s
% 3.56/1.46 % (2094243)Peak memory usage: 88 MB
% 3.56/1.46 % (2094243)Instructions burned: 24 (million)
% 3.56/1.46 % (2094243)------------------------------
% 3.56/1.46 % (2094243)------------------------------
% 3.56/1.46 % (2094235)Success in time 0.421 s
% 3.56/1.46 % Vampire exiting
%------------------------------------------------------------------------------