TSTP Solution File: GEO204+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO204+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 : 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 : Sun May 5 05:16:05 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 10 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 197 ( 75 ~; 89 |; 19 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 64 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f267,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f69,f216,f228,f237,f246,f266]) ).
fof(f266,plain,
( ~ spl3_1
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl3_1
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f264,f56]) ).
fof(f56,plain,
( distinct_points(sK0,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_1
<=> distinct_points(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f264,plain,
( ~ distinct_points(sK0,sK2)
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f258,f38]) ).
fof(f38,plain,
~ distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& ~ distinct_points(sK1,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(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& ~ distinct_points(sK1,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f258,plain,
( distinct_points(sK1,sK2)
| ~ distinct_points(sK0,sK2)
| ~ spl3_12 ),
inference(resolution,[],[f182,f52]) ).
fof(f52,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/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f182,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl3_12
<=> apart_point_and_line(sK1,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f246,plain,
~ spl3_11,
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f244,f37]) ).
fof(f37,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f244,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f238,f42]) ).
fof(f42,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f238,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl3_11 ),
inference(resolution,[],[f178,f52]) ).
fof(f178,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl3_11
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f237,plain,
( ~ spl3_1
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl3_1
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f235,f56]) ).
fof(f235,plain,
( ~ distinct_points(sK0,sK2)
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f230,f42]) ).
fof(f230,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK2)
| ~ spl3_14 ),
inference(resolution,[],[f191,f51]) ).
fof(f51,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(f191,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl3_14
<=> apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f228,plain,
~ spl3_13,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f226,f37]) ).
fof(f226,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f221,f42]) ).
fof(f221,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl3_13 ),
inference(resolution,[],[f187,f51]) ).
fof(f187,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl3_13
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f216,plain,
( spl3_13
| spl3_14
| spl3_11
| spl3_12
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f139,f59,f180,f176,f189,f185]) ).
fof(f59,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f139,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK2))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_2 ),
inference(resolution,[],[f114,f115]) ).
fof(f115,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f105,f38]) ).
fof(f105,plain,
! [X0] :
( distinct_points(X0,sK2)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f85,f42]) ).
fof(f85,plain,
! [X0,X1] :
( distinct_points(X0,sK2)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f76,f50]) ).
fof(f50,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/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f76,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK2) ),
inference(resolution,[],[f66,f38]) ).
fof(f66,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(sK1,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f63,f50]) ).
fof(f63,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f50,f37]) ).
fof(f114,plain,
( ! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK0,sK2))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X0,line_connecting(sK0,sK1)) )
| ~ spl3_2 ),
inference(resolution,[],[f53,f61]) ).
fof(f61,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f53,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/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f69,plain,
spl3_1,
inference(avatar_split_clause,[],[f64,f55]) ).
fof(f64,plain,
distinct_points(sK0,sK2),
inference(resolution,[],[f63,f38]) ).
fof(f62,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f39,f59,f55]) ).
fof(f39,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) ),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO204+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n008.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 21:59:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (13467)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (13468)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (13471)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 % (13470)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 % (13474)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 % (13472)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (13469)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (13473)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 Detected minimum model sizes of [1,1,1,1]
% 0.12/0.35 Detected maximum model sizes of [max,3,max,max]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [1,1,1,1]
% 0.12/0.35 TRYING [2,2,1,1]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 Detected minimum model sizes of [1,1,1,1]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 Detected maximum model sizes of [max,3,max,max]
% 0.12/0.35 TRYING [1,1,1,1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [3,2,1,1]
% 0.12/0.36 TRYING [2,2,1,1]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [3,2,1,1]
% 0.12/0.36 TRYING [4,2,1,1]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [4,2,1,1]
% 0.12/0.36 TRYING [3,3,1,1]
% 0.12/0.36 TRYING [3,3,1,1]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [5,2,1,1]
% 0.12/0.36 % (13473)First to succeed.
% 0.12/0.36 TRYING [5,2,1,1]
% 0.12/0.36 TRYING [4,3,1,1]
% 0.12/0.36 TRYING [5]
% 0.12/0.36 % (13473)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13467"
% 0.12/0.36 TRYING [4,3,1,1]
% 0.12/0.36 TRYING [6,2,1,1]
% 0.12/0.36 % (13473)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (13473)------------------------------
% 0.12/0.36 % (13473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (13473)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (13473)Memory used [KB]: 888
% 0.12/0.36 % (13473)Time elapsed: 0.007 s
% 0.12/0.36 % (13473)Instructions burned: 10 (million)
% 0.12/0.36 % (13467)Success in time 0.022 s
%------------------------------------------------------------------------------