%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO620+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 : n004.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 09:53:05 AM UTC 2026
% Result : Theorem 3.96s 1.44s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 23 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 93 ( 22 ~; 17 |; 49 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 73 ( 57 !; 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] :
( ( 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,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) )
=> coll(X4,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( 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,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) )
=> coll(X4,X7,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X4,X7,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,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ coll(X4,X7,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,X2,X0,X3)
& coll(X4,X0,X3)
& perp(X0,X3,X0,X5)
& perp(X6,X2,X0,X5)
& coll(X6,X0,X5)
& perp(X7,X2,X1,X3)
& coll(X7,X1,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(sK4,sK7,sK6)
& 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,sK2,sK0,sK3)
& coll(sK4,sK0,sK3)
& perp(sK0,sK3,sK0,sK5)
& perp(sK6,sK2,sK0,sK5)
& coll(sK6,sK0,sK5)
& perp(sK7,sK2,sK1,sK3)
& coll(sK7,sK1,sK3) ),
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)],[f98]) ).
fof(f126,plain,
coll(sK7,sK1,sK3),
inference(cnf_transformation,[],[f121]) ).
fof(f128,plain,
coll(sK6,sK0,sK5),
inference(cnf_transformation,[],[f121]) ).
fof(f131,plain,
coll(sK4,sK0,sK3),
inference(cnf_transformation,[],[f121]) ).
fof(f136,plain,
~ coll(sK4,sK7,sK6),
inference(cnf_transformation,[],[f121]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f160,plain,
! [X0] :
( ~ coll(sK7,sK1,X0)
| coll(X0,sK3,sK7) ),
inference(resolution,[],[f126,f137]) ).
fof(f161,plain,
coll(sK6,sK5,sK0),
inference(resolution,[],[f128,f139]) ).
fof(f164,plain,
coll(sK4,sK3,sK0),
inference(resolution,[],[f131,f139]) ).
fof(f166,plain,
! [X0] :
( ~ coll(sK4,sK0,X0)
| coll(X0,sK3,sK4) ),
inference(resolution,[],[f131,f137]) ).
fof(f179,plain,
! [X0] :
( ~ coll(sK6,sK5,X0)
| coll(X0,sK0,sK6) ),
inference(resolution,[],[f161,f137]) ).
fof(f189,plain,
! [X0] :
( ~ coll(sK4,sK3,X0)
| coll(X0,sK0,sK4) ),
inference(resolution,[],[f164,f137]) ).
fof(f281,plain,
coll(sK3,sK3,sK7),
inference(resolution,[],[f160,f126]) ).
fof(f284,plain,
! [X0] :
( ~ coll(sK3,sK3,X0)
| coll(X0,sK7,sK3) ),
inference(resolution,[],[f281,f137]) ).
fof(f289,plain,
coll(sK3,sK3,sK4),
inference(resolution,[],[f166,f131]) ).
fof(f471,plain,
coll(sK0,sK0,sK6),
inference(resolution,[],[f179,f161]) ).
fof(f475,plain,
! [X0] :
( ~ coll(sK0,sK0,X0)
| coll(X0,sK6,sK0) ),
inference(resolution,[],[f471,f137]) ).
fof(f480,plain,
coll(sK0,sK0,sK4),
inference(resolution,[],[f189,f164]) ).
fof(f813,plain,
coll(sK4,sK7,sK3),
inference(resolution,[],[f284,f289]) ).
fof(f820,plain,
coll(sK4,sK3,sK7),
inference(resolution,[],[f813,f139]) ).
fof(f911,plain,
! [X0] :
( ~ coll(sK4,sK3,X0)
| coll(X0,sK7,sK4) ),
inference(resolution,[],[f820,f137]) ).
fof(f1525,plain,
coll(sK4,sK6,sK0),
inference(resolution,[],[f475,f480]) ).
fof(f1531,plain,
coll(sK4,sK0,sK6),
inference(resolution,[],[f1525,f139]) ).
fof(f1538,plain,
coll(sK6,sK3,sK4),
inference(resolution,[],[f1531,f166]) ).
fof(f1578,plain,
coll(sK6,sK4,sK3),
inference(resolution,[],[f1538,f139]) ).
fof(f1652,plain,
coll(sK4,sK6,sK3),
inference(resolution,[],[f1578,f138]) ).
fof(f1748,plain,
coll(sK4,sK3,sK6),
inference(resolution,[],[f1652,f139]) ).
fof(f4258,plain,
coll(sK6,sK7,sK4),
inference(resolution,[],[f911,f1748]) ).
fof(f4268,plain,
coll(sK6,sK4,sK7),
inference(resolution,[],[f4258,f139]) ).
fof(f4281,plain,
coll(sK4,sK6,sK7),
inference(resolution,[],[f4268,f138]) ).
fof(f4299,plain,
coll(sK4,sK7,sK6),
inference(resolution,[],[f4281,f139]) ).
fof(f4302,plain,
$false,
inference(forward_subsumption_resolution,[],[f4299,f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO620+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 08:39:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.96/1.44 % (3206219)Detected formulas, will run a generic FOF schedule.
% 3.96/1.44 % (3206228)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1483152047:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.96/1.44 % (3206228)Instruction limit reached!
% 3.96/1.44 % (3206228)------------------------------
% 3.96/1.44 % (3206228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.44 % (3206228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.44 % (3206228)CaDiCaL version: 2.1.3
% 3.96/1.44 % (3206228)Termination reason: Instruction limit
% 3.96/1.44 % (3206228)Termination phase: Saturation
% 3.96/1.44 % (3206228)Time elapsed: 0.035 s
% 3.96/1.44 % (3206228)Peak memory usage: 88 MB
% 3.96/1.44 % (3206228)Instructions burned: 119 (million)
% 3.96/1.44 % (3206230)dis-21_1_sil=8000:lcm=predicate:random_seed=2368201727: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)
% 3.96/1.44 % (3206227)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3450538080:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.96/1.44 % (3206224)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=3632216067:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.96/1.44 % (3206226)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=2493897443:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.96/1.44 % (3206225)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=1430402696:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.96/1.44 % (3206229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2544194127:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.96/1.44 % (3206227)First to succeed.
% 3.96/1.44 % (3206227)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3206219"
% 3.96/1.44 % (3206229)Instruction limit reached!
% 3.96/1.44 % (3206229)------------------------------
% 3.96/1.44 % (3206229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.44 % (3206229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.44 % (3206229)CaDiCaL version: 2.1.3
% 3.96/1.44 % (3206229)Termination reason: Instruction limit
% 3.96/1.44 % (3206229)Termination phase: Saturation
% 3.96/1.44 % (3206229)Time elapsed: 0.064 s
% 3.96/1.44 % (3206229)Peak memory usage: 88 MB
% 3.96/1.44 % (3206229)Instructions burned: 141 (million)
% 3.96/1.44 % (3206230)Instruction limit reached!
% 3.96/1.44 % (3206230)------------------------------
% 3.96/1.44 % (3206230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.44 % (3206230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.44 % (3206230)CaDiCaL version: 2.1.3
% 3.96/1.44 % (3206230)Termination reason: Instruction limit
% 3.96/1.44 % (3206230)Termination phase: Saturation
% 3.96/1.44 % (3206230)Time elapsed: 0.074 s
% 3.96/1.44 % (3206230)Peak memory usage: 89 MB
% 3.96/1.44 % (3206230)Instructions burned: 130 (million)
% 3.96/1.44 % (3206232)lrs+10_1_sil=8000:sp=occurrence:random_seed=2314046804:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.96/1.44 % (3206232)Also succeeded, but the first one will report.
% 3.96/1.44 % (3206239)lrs+10_1_sil=32000:urr=on:br=off:random_seed=72445306:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.96/1.44 % (3206240)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3279136997:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.96/1.44 % (3206239)Also succeeded, but the first one will report.
% 3.96/1.44 % (3206227)Refutation found. Thanks to Tanya!
% 3.96/1.44 % SZS status Theorem for theBenchmark
% 3.96/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.44 % (3206227)------------------------------
% 3.96/1.44 % (3206227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.44 % (3206227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.44 % (3206227)CaDiCaL version: 2.1.3
% 3.96/1.44 % (3206227)Termination reason: Refutation
% 3.96/1.44 % (3206227)Time elapsed: 0.055 s
% 3.96/1.44 % (3206227)Peak memory usage: 89 MB
% 3.96/1.44 % (3206227)Instructions burned: 93 (million)
% 3.96/1.44 % (3206227)------------------------------
% 3.96/1.44 % (3206227)------------------------------
% 3.96/1.44 % (3206219)Success in time 0.488 s
% 3.96/1.44 % Vampire exiting
%------------------------------------------------------------------------------