TSTP Solution File: GEO206+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Sun May 5 05:16:07 EDT 2024
% Result : Theorem 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 23 ~; 15 |; 12 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 46 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(subsumption_resolution,[],[f161,f153]) ).
fof(f153,plain,
~ convergent_lines(sK3,sK4),
inference(resolution,[],[f129,f108]) ).
fof(f108,plain,
parallel_lines(sK3,sK4),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ~ equal_lines(sK3,parallel_through_point(sK4,sK2))
& parallel_lines(sK3,sK4)
& incident_point_and_line(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f55,f101]) ).
fof(f101,plain,
( ? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) )
=> ( ~ equal_lines(sK3,parallel_through_point(sK4,sK2))
& parallel_lines(sK3,sK4)
& incident_point_and_line(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f129,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
=> ~ convergent_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f161,plain,
convergent_lines(sK3,sK4),
inference(resolution,[],[f158,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,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(f158,plain,
distinct_lines(sK3,sK4),
inference(resolution,[],[f157,f116]) ).
fof(f116,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f157,plain,
! [X0] :
( convergent_lines(parallel_through_point(sK4,sK2),X0)
| distinct_lines(sK3,X0) ),
inference(resolution,[],[f154,f120]) ).
fof(f154,plain,
! [X0] :
( distinct_lines(parallel_through_point(sK4,sK2),X0)
| distinct_lines(sK3,X0) ),
inference(resolution,[],[f132,f150]) ).
fof(f150,plain,
distinct_lines(sK3,parallel_through_point(sK4,sK2)),
inference(resolution,[],[f127,f109]) ).
fof(f109,plain,
~ equal_lines(sK3,parallel_through_point(sK4,sK2)),
inference(cnf_transformation,[],[f102]) ).
fof(f127,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 22:05:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.33 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35 % (5466)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.35 % (5463)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.35 % (5462)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.35 % (5466)First to succeed.
% 0.17/0.35 % (5466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5461"
% 0.17/0.35 % (5464)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)
% 0.17/0.35 % (5467)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.35 % (5465)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.35 % (5468)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 % (5466)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Theorem for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (5466)------------------------------
% 0.17/0.35 % (5466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.35 % (5466)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (5466)Memory used [KB]: 945
% 0.17/0.35 % (5466)Time elapsed: 0.004 s
% 0.17/0.35 % (5466)Instructions burned: 4 (million)
% 0.17/0.35 % (5461)Success in time 0.017 s
%------------------------------------------------------------------------------