TSTP Solution File: GEO179+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO179+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 11:14:28 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 37 ~; 37 |; 14 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f89,f100]) ).
fof(f100,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f96,f78]) ).
fof(f78,plain,
distinct_points(sK2,sK1),
inference(subsumption_resolution,[],[f74,f40]) ).
fof(f40,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f74,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f69,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f69,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(sK2,X0) ),
inference(resolution,[],[f54,f41]) ).
fof(f41,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f96,plain,
( ~ distinct_points(sK2,sK1)
| spl3_2 ),
inference(resolution,[],[f94,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f94,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| spl3_2 ),
inference(resolution,[],[f64,f70]) ).
fof(f70,plain,
! [X0] :
( distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f55,f41]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f64,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| spl3_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f89,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f85,f77]) ).
fof(f77,plain,
distinct_points(sK2,sK0),
inference(subsumption_resolution,[],[f73,f40]) ).
fof(f73,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f69,f48]) ).
fof(f85,plain,
( ~ distinct_points(sK2,sK0)
| spl3_1 ),
inference(resolution,[],[f81,f48]) ).
fof(f81,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK0))
| spl3_1 ),
inference(resolution,[],[f70,f60]) ).
fof(f60,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| spl3_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl3_1
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f65,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f42,f62,f58]) ).
fof(f42,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO179+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:39:12 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (19149)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (19151)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (19153)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (19154)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (19150)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (19152)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)
% 0.15/0.38 % (19155)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (19156)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (19155)First to succeed.
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 TRYING [4,2]
% 0.15/0.38 TRYING [4,2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (19152)Also succeeded, but the first one will report.
% 0.15/0.38 % (19155)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (19155)------------------------------
% 0.15/0.38 % (19155)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (19155)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (19155)Memory used [KB]: 782
% 0.15/0.38 % (19155)Time elapsed: 0.004 s
% 0.15/0.38 % (19155)Instructions burned: 5 (million)
% 0.15/0.38 % (19155)------------------------------
% 0.15/0.38 % (19155)------------------------------
% 0.15/0.38 % (19149)Success in time 0.021 s
%------------------------------------------------------------------------------