TSTP Solution File: GEO206+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO206+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 11:14:43 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 40 ~; 30 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 57 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(resolution,[],[f202,f50]) ).
fof(f50,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f202,plain,
distinct_lines(sK1,sK1),
inference(resolution,[],[f169,f47]) ).
fof(f47,plain,
distinct_lines(sK1,parallel_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( distinct_lines(sK1,parallel_through_point(sK2,sK0))
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ( distinct_lines(sK1,parallel_through_point(sK2,sK0))
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f169,plain,
! [X0] :
( ~ distinct_lines(X0,parallel_through_point(sK2,sK0))
| distinct_lines(X0,sK1) ),
inference(resolution,[],[f155,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f155,plain,
~ distinct_lines(parallel_through_point(sK2,sK0),sK1),
inference(resolution,[],[f121,f71]) ).
fof(f71,plain,
! [X0] : ~ convergent_lines(parallel_through_point(sK2,X0),sK1),
inference(resolution,[],[f66,f51]) ).
fof(f51,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f66,plain,
! [X0] :
( convergent_lines(X0,sK2)
| ~ convergent_lines(X0,sK1) ),
inference(resolution,[],[f58,f46]) ).
fof(f46,plain,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f58,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f121,plain,
! [X0] :
( convergent_lines(parallel_through_point(X0,sK0),sK1)
| ~ distinct_lines(parallel_through_point(X0,sK0),sK1) ),
inference(resolution,[],[f102,f52]) ).
fof(f52,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f102,plain,
! [X0] :
( apart_point_and_line(sK0,X0)
| convergent_lines(X0,sK1)
| ~ distinct_lines(X0,sK1) ),
inference(resolution,[],[f61,f45]) ).
fof(f45,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO206+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34 % Computer : n008.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Apr 30 05:45:27 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (8552)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.36 % (8555)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)
% 0.11/0.36 % (8554)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36 % (8556)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.36 % (8557)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.36 % (8558)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.36 % (8559)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)
% 0.11/0.36 TRYING [1,1]
% 0.11/0.36 TRYING [1,1]
% 0.11/0.36 TRYING [2,1]
% 0.11/0.36 TRYING [2,1]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [3,1]
% 0.11/0.36 TRYING [3,1]
% 0.11/0.36 % (8555)First to succeed.
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [4,1]
% 0.11/0.36 TRYING [4,1]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 % (8558)Also succeeded, but the first one will report.
% 0.11/0.36 % (8553)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36 TRYING [5,1]
% 0.11/0.36 TRYING [5,1]
% 0.11/0.36 % (8555)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (8555)------------------------------
% 0.11/0.36 % (8555)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36 % (8555)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (8555)Memory used [KB]: 880
% 0.11/0.36 % (8555)Time elapsed: 0.006 s
% 0.11/0.36 % (8555)Instructions burned: 8 (million)
% 0.11/0.36 % (8555)------------------------------
% 0.11/0.36 % (8555)------------------------------
% 0.11/0.36 % (8552)Success in time 0.017 s
%------------------------------------------------------------------------------