TSTP Solution File: GEO217+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:14:49 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 27 ~; 26 |; 14 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 66 ( 57 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f201,plain,
$false,
inference(subsumption_resolution,[],[f200,f146]) ).
fof(f146,plain,
~ convergent_lines(sK2,sK4),
inference(resolution,[],[f123,f104]) ).
fof(f104,plain,
parallel_lines(sK2,sK4),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ~ parallel_lines(sK3,sK4)
& parallel_lines(sK2,sK4)
& parallel_lines(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f53,f96]) ).
fof(f96,plain,
( ? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X2)
& parallel_lines(X0,X1) )
=> ( ~ parallel_lines(sK3,sK4)
& parallel_lines(sK2,sK4)
& parallel_lines(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X2)
& parallel_lines(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X2)
& parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2] :
( ( parallel_lines(X0,X2)
& parallel_lines(X0,X1) )
=> parallel_lines(X1,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X5,X6,X7] :
( ( parallel_lines(X5,X7)
& parallel_lines(X5,X6) )
=> parallel_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X5,X6,X7] :
( ( parallel_lines(X5,X7)
& parallel_lines(X5,X6) )
=> parallel_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f123,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) )
& ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f200,plain,
convergent_lines(sK2,sK4),
inference(resolution,[],[f196,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f196,plain,
distinct_lines(sK2,sK4),
inference(resolution,[],[f185,f107]) ).
fof(f107,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f185,plain,
! [X0] :
( distinct_lines(sK4,X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f180,f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f180,plain,
distinct_lines(sK4,sK2),
inference(resolution,[],[f167,f145]) ).
fof(f145,plain,
~ convergent_lines(sK2,sK3),
inference(resolution,[],[f123,f103]) ).
fof(f103,plain,
parallel_lines(sK2,sK3),
inference(cnf_transformation,[],[f97]) ).
fof(f167,plain,
! [X0] :
( convergent_lines(X0,sK3)
| distinct_lines(sK4,X0) ),
inference(resolution,[],[f163,f116]) ).
fof(f163,plain,
! [X0] :
( distinct_lines(X0,sK3)
| distinct_lines(sK4,X0) ),
inference(resolution,[],[f152,f108]) ).
fof(f108,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f152,plain,
! [X0,X1] :
( convergent_lines(sK3,X1)
| distinct_lines(X0,X1)
| distinct_lines(sK4,X0) ),
inference(resolution,[],[f150,f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f150,plain,
! [X0] :
( convergent_lines(sK3,X0)
| distinct_lines(sK4,X0) ),
inference(resolution,[],[f131,f147]) ).
fof(f147,plain,
convergent_lines(sK3,sK4),
inference(resolution,[],[f124,f105]) ).
fof(f105,plain,
~ parallel_lines(sK3,sK4),
inference(cnf_transformation,[],[f97]) ).
fof(f124,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.38 % Computer : n002.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Tue Apr 30 06:05:10 EDT 2024
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % (23009)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39 % (23015)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.39 % (23014)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.40 % (23012)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.40 % (23013)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.40 % (23016)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.40 % (23011)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.40 % (23014)First to succeed.
% 0.13/0.40 % (23010)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.40 % (23012)Also succeeded, but the first one will report.
% 0.13/0.40 % (23014)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (23014)------------------------------
% 0.13/0.40 % (23014)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.40 % (23014)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (23014)Memory used [KB]: 950
% 0.13/0.40 % (23014)Time elapsed: 0.004 s
% 0.13/0.40 % (23014)Instructions burned: 6 (million)
% 0.13/0.40 % (23014)------------------------------
% 0.13/0.40 % (23014)------------------------------
% 0.13/0.40 % (23009)Success in time 0.018 s
%------------------------------------------------------------------------------