TSTP Solution File: GEO260+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 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 11:15:04 EDT 2024
% Result : Theorem 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 149 ( 50 ~; 45 |; 42 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1775,plain,
$false,
inference(resolution,[],[f1771,f106]) ).
fof(f106,plain,
line(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( between_on_line(sK0,sK1,sK3,sK2)
& between_on_line(sK0,sK1,sK2,sK3)
& distinct_points(sK1,sK2)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3)
& line(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f64,f104]) ).
fof(f104,plain,
( ? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3)
& distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0) )
=> ( between_on_line(sK0,sK1,sK3,sK2)
& between_on_line(sK0,sK1,sK2,sK3)
& distinct_points(sK1,sK2)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3)
& line(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3)
& distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
? [X0,X1,X2,X3] :
( between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3)
& distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0) )
=> ~ ( between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X0,X3,X4] :
( ( distinct_points(X0,X3)
& distinct_points(X3,X4)
& distinct_points(X0,X4)
& line(X1) )
=> ~ ( between_on_line(X1,X0,X4,X3)
& between_on_line(X1,X0,X3,X4) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X0,X3,X4] :
( ( distinct_points(X0,X3)
& distinct_points(X3,X4)
& distinct_points(X0,X4)
& line(X1) )
=> ~ ( between_on_line(X1,X0,X4,X3)
& between_on_line(X1,X0,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f1771,plain,
! [X0] : ~ line(X0),
inference(duplicate_literal_removal,[],[f1770]) ).
fof(f1770,plain,
! [X0] :
( ~ line(X0)
| ~ line(X0) ),
inference(resolution,[],[f1762,f116]) ).
fof(f116,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( line(X0)
=> line(reverse_line(X0)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X1] :
( line(X1)
=> line(reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco4) ).
fof(f1762,plain,
! [X0] :
( ~ line(reverse_line(X0))
| ~ line(X0) ),
inference(resolution,[],[f1718,f186]) ).
fof(f186,plain,
! [X0] :
( unequally_directed_lines(reverse_line(X0),X0)
| ~ line(X0)
| ~ line(reverse_line(X0)) ),
inference(resolution,[],[f125,f114]) ).
fof(f114,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f125,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2] :
( ( line(X2)
& line(X1) )
=> ( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag8) ).
fof(f1718,plain,
! [X0,X1] : ~ unequally_directed_lines(X0,X1),
inference(resolution,[],[f1656,f1641]) ).
fof(f1641,plain,
! [X0,X1] : ~ unequally_directed_lines(X0,line_connecting(X1,X1)),
inference(factoring,[],[f649]) ).
fof(f649,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
| ~ unequally_directed_lines(X0,line_connecting(X2,X1)) ),
inference(resolution,[],[f326,f131]) ).
fof(f131,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f326,plain,
! [X2,X0,X1] :
( left_convergent_lines(X0,line_connecting(X2,X1))
| ~ unequally_directed_lines(X0,line_connecting(X1,X2))
| ~ unequally_directed_lines(X0,line_connecting(X2,X1)) ),
inference(resolution,[],[f172,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f128,f131]) ).
fof(f128,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).
fof(f172,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,reverse_line(line_connecting(X1,X2)))
| ~ unequally_directed_lines(X0,line_connecting(X2,X1)) ),
inference(resolution,[],[f138,f119]) ).
fof(f119,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X0,X3] : ~ unequally_directed_lines(line_connecting(X0,X3),reverse_line(line_connecting(X3,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco9) ).
fof(f138,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X2,X5)
| unequally_directed_lines(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).
fof(f1656,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,line_connecting(X1,X1))
| ~ unequally_directed_lines(X0,X2) ),
inference(resolution,[],[f1641,f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n002.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 : Tue Apr 30 06:03:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (16078)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (16080)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (16083)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (16081)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)
% 0.12/0.35 % (16084)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (16082)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (16079)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (16085)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)
% 0.12/0.35 TRYING [1,1]
% 0.12/0.35 TRYING [2,2]
% 0.12/0.35 TRYING [1]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [3,3]
% 0.18/0.36 TRYING [1,1]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 TRYING [2,2]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 TRYING [3,3]
% 0.18/0.36 TRYING [4,3]
% 0.18/0.36 TRYING [4]
% 0.18/0.36 TRYING [4]
% 0.18/0.36 TRYING [4,3]
% 0.18/0.37 TRYING [5,3]
% 0.18/0.37 TRYING [5]
% 0.18/0.37 TRYING [5,3]
% 0.18/0.37 TRYING [5]
% 0.18/0.38 TRYING [6,3]
% 0.18/0.38 TRYING [6]
% 0.18/0.38 TRYING [6,3]
% 0.18/0.38 % (16081)First to succeed.
% 0.18/0.39 % (16081)Refutation found. Thanks to Tanya!
% 0.18/0.39 % SZS status Theorem for theBenchmark
% 0.18/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.39 % (16081)------------------------------
% 0.18/0.39 % (16081)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.39 % (16081)Termination reason: Refutation
% 0.18/0.39
% 0.18/0.39 % (16081)Memory used [KB]: 1317
% 0.18/0.39 % (16081)Time elapsed: 0.037 s
% 0.18/0.39 % (16081)Instructions burned: 79 (million)
% 0.18/0.39 % (16081)------------------------------
% 0.18/0.39 % (16081)------------------------------
% 0.18/0.39 % (16078)Success in time 0.05 s
%------------------------------------------------------------------------------