TSTP Solution File: GEO170+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO170+2 : 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 : n016.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 11:14:24 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 10 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 151 ( 53 ~; 64 |; 24 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 73 ( 64 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f164,f173]) ).
fof(f173,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f172,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f171,f37]) ).
fof(f37,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( distinct_lines(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ( distinct_lines(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f171,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f165,f43]) ).
fof(f43,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f165,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f105,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f105,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_1
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f164,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f162,f37]) ).
fof(f162,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f157,f43]) ).
fof(f157,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f109,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f109,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl3_2
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f138,plain,
( spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f137,f103,f107]) ).
fof(f137,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(subsumption_resolution,[],[f136,f38]) ).
fof(f38,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f136,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(subsumption_resolution,[],[f94,f39]) ).
fof(f39,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f94,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(resolution,[],[f85,f83]) ).
fof(f83,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f75,f43]) ).
fof(f75,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f70,f43]) ).
fof(f70,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f63,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f63,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f60,f43]) ).
fof(f60,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(sK1,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f58,f51]) ).
fof(f58,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f51,f37]) ).
fof(f85,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f54,f40]) ).
fof(f40,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 06:16:41 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (27318)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (27322)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.36 Detected maximum model sizes of [max,2,max,max]
% 0.13/0.36 TRYING [1,1,1,1]
% 0.13/0.36 TRYING [2,2,1,1]
% 0.13/0.36 TRYING [3,2,1,1]
% 0.13/0.36 TRYING [4,2,1,1]
% 0.13/0.36 TRYING [5,2,1,1]
% 0.13/0.36 TRYING [6,2,1,1]
% 0.13/0.36 TRYING [7,2,1,1]
% 0.13/0.36 TRYING [8,2,1,1]
% 0.13/0.36 % (27319)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (27320)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (27321)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)
% 0.13/0.36 % (27323)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (27324)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (27325)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [9,2,1,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [max,2,max,max]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 TRYING [2,2,1,1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3,2,1,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4,2,1,1]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [10,2,1,1]
% 0.13/0.37 TRYING [5,2,1,1]
% 0.13/0.37 % (27324)First to succeed.
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [6,2,1,1]
% 0.13/0.37 % (27321)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [11,2,1,1]
% 0.13/0.37 % (27324)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (27324)------------------------------
% 0.13/0.37 % (27324)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (27324)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (27324)Memory used [KB]: 802
% 0.13/0.37 % (27324)Time elapsed: 0.006 s
% 0.13/0.37 % (27324)Instructions burned: 7 (million)
% 0.13/0.37 % (27324)------------------------------
% 0.13/0.37 % (27324)------------------------------
% 0.13/0.37 % (27318)Success in time 0.022 s
%------------------------------------------------------------------------------