%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:52:59 AM UTC 2026
% Result : Theorem 4.05s 1.55s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 88 ( 22 ~; 17 |; 44 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 69 ( 55 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) )
=> coll(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) )
=> coll(X6,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X6,X4,X5)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X6,X4,X5)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X3)
& coll(X6,X0,X3) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f102,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f121,plain,
( ~ coll(sK6,sK4,sK5)
& eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2)
& eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0)
& eqangle(sK3,sK2,sK2,sK0,sK3,sK2,sK2,sK1)
& perp(sK4,sK3,sK0,sK2)
& coll(sK4,sK0,sK2)
& perp(sK5,sK3,sK1,sK2)
& coll(sK5,sK1,sK2)
& perp(sK6,sK1,sK0,sK3)
& coll(sK6,sK0,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f98]) ).
fof(f126,plain,
coll(sK6,sK0,sK3),
inference(cnf_transformation,[],[f121]) ).
fof(f128,plain,
coll(sK5,sK1,sK2),
inference(cnf_transformation,[],[f121]) ).
fof(f130,plain,
coll(sK4,sK0,sK2),
inference(cnf_transformation,[],[f121]) ).
fof(f135,plain,
~ coll(sK6,sK4,sK5),
inference(cnf_transformation,[],[f121]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f157,plain,
coll(sK6,sK3,sK0),
inference(resolution,[],[f126,f138]) ).
fof(f162,plain,
! [X0] :
( ~ coll(sK5,sK1,X0)
| coll(X0,sK2,sK5) ),
inference(resolution,[],[f128,f136]) ).
fof(f163,plain,
coll(sK4,sK2,sK0),
inference(resolution,[],[f130,f138]) ).
fof(f165,plain,
! [X0] :
( ~ coll(sK4,sK0,X0)
| coll(X0,sK2,sK4) ),
inference(resolution,[],[f130,f136]) ).
fof(f168,plain,
! [X0] :
( ~ coll(sK6,sK3,X0)
| coll(X0,sK0,sK6) ),
inference(resolution,[],[f157,f136]) ).
fof(f201,plain,
! [X0] :
( ~ coll(sK4,sK2,X0)
| coll(X0,sK0,sK4) ),
inference(resolution,[],[f163,f136]) ).
fof(f280,plain,
coll(sK2,sK2,sK5),
inference(resolution,[],[f162,f128]) ).
fof(f283,plain,
! [X0] :
( ~ coll(sK2,sK2,X0)
| coll(X0,sK5,sK2) ),
inference(resolution,[],[f280,f136]) ).
fof(f284,plain,
coll(sK2,sK2,sK4),
inference(resolution,[],[f165,f130]) ).
fof(f453,plain,
coll(sK0,sK0,sK6),
inference(resolution,[],[f168,f157]) ).
fof(f457,plain,
! [X0] :
( ~ coll(sK0,sK0,X0)
| coll(X0,sK6,sK0) ),
inference(resolution,[],[f453,f136]) ).
fof(f471,plain,
coll(sK0,sK0,sK4),
inference(resolution,[],[f201,f163]) ).
fof(f817,plain,
coll(sK4,sK5,sK2),
inference(resolution,[],[f283,f284]) ).
fof(f826,plain,
coll(sK4,sK2,sK5),
inference(resolution,[],[f817,f138]) ).
fof(f898,plain,
! [X0] :
( ~ coll(sK4,sK2,X0)
| coll(X0,sK5,sK4) ),
inference(resolution,[],[f826,f136]) ).
fof(f1498,plain,
coll(sK4,sK6,sK0),
inference(resolution,[],[f457,f471]) ).
fof(f1501,plain,
coll(sK4,sK0,sK6),
inference(resolution,[],[f1498,f138]) ).
fof(f1507,plain,
coll(sK6,sK2,sK4),
inference(resolution,[],[f1501,f165]) ).
fof(f1527,plain,
coll(sK6,sK4,sK2),
inference(resolution,[],[f1507,f138]) ).
fof(f1587,plain,
coll(sK4,sK6,sK2),
inference(resolution,[],[f1527,f137]) ).
fof(f1669,plain,
coll(sK4,sK2,sK6),
inference(resolution,[],[f1587,f138]) ).
fof(f4170,plain,
coll(sK6,sK5,sK4),
inference(resolution,[],[f898,f1669]) ).
fof(f4178,plain,
coll(sK6,sK4,sK5),
inference(resolution,[],[f4170,f138]) ).
fof(f4181,plain,
$false,
inference(forward_subsumption_resolution,[],[f4178,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.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 08:34:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.05/1.54 % (639008)Detected formulas, will run a generic FOF schedule.
% 4.05/1.54 % (639019)dis-21_1_sil=8000:lcm=predicate:random_seed=3809906546: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)
% 4.05/1.54 % (639016)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2474509581:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.05/1.54 % (639013)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=3503888080:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.05/1.54 % (639017)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3012868043:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.05/1.54 % (639014)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=3395948035:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.05/1.54 % (639015)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=1309767007:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.05/1.54 % (639018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1128228334:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.05/1.54 % (639019)Instruction limit reached!
% 4.05/1.54 % (639019)------------------------------
% 4.05/1.54 % (639019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.54 % (639019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.54 % (639019)CaDiCaL version: 2.1.3
% 4.05/1.54 % (639019)Termination reason: Instruction limit
% 4.05/1.54 % (639019)Termination phase: Saturation
% 4.05/1.54 % (639019)Time elapsed: 0.040 s
% 4.05/1.54 % (639019)Peak memory usage: 89 MB
% 4.05/1.54 % (639019)Instructions burned: 130 (million)
% 4.05/1.54 % (639016)First to succeed.
% 4.05/1.54 % (639016)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-639008"
% 4.05/1.54 % (639018)Instruction limit reached!
% 4.05/1.54 % (639018)------------------------------
% 4.05/1.55 % (639018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.55 % (639018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.55 % (639018)CaDiCaL version: 2.1.3
% 4.05/1.55 % (639018)Termination reason: Instruction limit
% 4.05/1.55 % (639018)Termination phase: Saturation
% 4.05/1.55 % (639018)Time elapsed: 0.065 s
% 4.05/1.55 % (639018)Peak memory usage: 88 MB
% 4.05/1.55 % (639018)Instructions burned: 140 (million)
% 4.05/1.55 % (639017)Instruction limit reached!
% 4.05/1.55 % (639017)------------------------------
% 4.05/1.55 % (639017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.55 % (639017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.55 % (639017)CaDiCaL version: 2.1.3
% 4.05/1.55 % (639017)Termination reason: Instruction limit
% 4.05/1.55 % (639017)Termination phase: Saturation
% 4.05/1.55 % (639017)Time elapsed: 0.067 s
% 4.05/1.55 % (639017)Peak memory usage: 88 MB
% 4.05/1.55 % (639017)Instructions burned: 119 (million)
% 4.05/1.55 % (639027)lrs+10_1_sil=8000:sp=occurrence:random_seed=684641931:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.05/1.55 % (639027)Also succeeded, but the first one will report.
% 4.05/1.55 % (639028)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3815378129:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.05/1.55 % (639029)lrs+1011_1_sil=32000:sp=occurrence:random_seed=614591015:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.05/1.55 % (639028)Also succeeded, but the first one will report.
% 4.05/1.55 % (639016)Refutation found. Thanks to Tanya!
% 4.05/1.55 % SZS status Theorem for theBenchmark
% 4.05/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.55 % (639016)------------------------------
% 4.05/1.55 % (639016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.55 % (639016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.55 % (639016)CaDiCaL version: 2.1.3
% 4.05/1.55 % (639016)Termination reason: Refutation
% 4.05/1.55 % (639016)Time elapsed: 0.055 s
% 4.05/1.55 % (639016)Peak memory usage: 89 MB
% 4.05/1.55 % (639016)Instructions burned: 90 (million)
% 4.05/1.55 % (639016)------------------------------
% 4.05/1.55 % (639016)------------------------------
% 4.05/1.55 % (639008)Success in time 0.489 s
% 4.05/1.55 % Vampire exiting
%------------------------------------------------------------------------------