TSTP Solution File: GEO225+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n007.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 : Wed Aug 31 16:12:23 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 6 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 31 ~; 38 |; 21 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 58 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(avatar_sat_refutation,[],[f215,f234,f239]) ).
fof(f239,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl2_6 ),
inference(resolution,[],[f214,f72]) ).
fof(f72,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(f214,plain,
( ! [X35] : distinct_points(sK0,X35)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl2_6
<=> ! [X35] : distinct_points(sK0,X35) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f234,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl2_3 ),
inference(resolution,[],[f202,f72]) ).
fof(f202,plain,
( distinct_points(sK1,sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl2_3
<=> distinct_points(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f215,plain,
( spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f190,f213,f200]) ).
fof(f190,plain,
! [X35] :
( distinct_points(sK0,X35)
| distinct_points(sK1,sK1) ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f187,plain,
! [X35] :
( distinct_points(sK0,X35)
| distinct_points(sK1,sK1)
| distinct_points(sK0,X35) ),
inference(resolution,[],[f165,f98]) ).
fof(f98,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f84,f72]) ).
fof(f84,plain,
! [X0,X1] :
( distinct_points(sK1,X1)
| distinct_points(sK0,X0)
| distinct_points(X0,X1) ),
inference(resolution,[],[f82,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X2,X1,X0] :
( distinct_points(X1,X0)
| ~ distinct_points(X1,X2)
| distinct_points(X2,X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X2,X0] :
( distinct_points(X1,X2)
=> ( distinct_points(X2,X0)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f82,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f75,f67]) ).
fof(f67,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0,X1] :
( point(X0)
& ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) )
& distinct_points(X1,X0)
& point(X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) )
& point(X1)
& distinct_points(X1,X0)
& point(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( ( point(X1)
& distinct_points(X1,X0)
& point(X0) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X6,X5] :
( ( point(X5)
& distinct_points(X5,X6)
& point(X6) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X6,X5] :
( ( point(X5)
& distinct_points(X5,X6)
& point(X6) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f165,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(sK1,X1)
| distinct_points(sK0,X0) ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(sK0,X0)
| ~ distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(resolution,[],[f151,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( distinct_points(X2,X0)
=> ( apart_point_and_line(X1,line_connecting(X2,X0))
=> ( distinct_points(X1,X2)
& distinct_points(X1,X0) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X0] :
( 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(f151,plain,
! [X3,X4] :
( apart_point_and_line(sK0,line_connecting(X3,X4))
| ~ distinct_points(X3,X4)
| distinct_points(sK1,X4) ),
inference(resolution,[],[f78,f64]) ).
fof(f64,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n007.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 : Mon Aug 29 21:16:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.49 % (16614)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (16615)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (16630)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49 % (16613)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.50 % (16621)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (16619)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (16638)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 TRYING [3]
% 0.20/0.51 TRYING [4]
% 0.20/0.51 % (16611)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (16619)Instruction limit reached!
% 0.20/0.51 % (16619)------------------------------
% 0.20/0.51 % (16619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16619)Termination reason: Unknown
% 0.20/0.51 % (16619)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (16619)Memory used [KB]: 5373
% 0.20/0.51 % (16619)Time elapsed: 0.003 s
% 0.20/0.51 % (16619)Instructions burned: 3 (million)
% 0.20/0.51 % (16619)------------------------------
% 0.20/0.51 % (16619)------------------------------
% 0.20/0.51 % (16614)First to succeed.
% 0.20/0.51 TRYING [5]
% 0.20/0.51 % (16624)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (16637)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 TRYING [6]
% 0.20/0.51 % (16618)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (16612)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.52 % (16612)Refutation not found, incomplete strategy% (16612)------------------------------
% 0.20/0.52 % (16612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16612)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (16612)Memory used [KB]: 5500
% 0.20/0.52 % (16612)Time elapsed: 0.117 s
% 0.20/0.52 % (16612)Instructions burned: 2 (million)
% 0.20/0.52 % (16612)------------------------------
% 0.20/0.52 % (16612)------------------------------
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (16636)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 TRYING [5]
% 0.20/0.52 % (16628)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 TRYING [7]
% 0.20/0.52 % (16631)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 TRYING [8]
% 0.20/0.52 % (16624)Also succeeded, but the first one will report.
% 0.20/0.52 % (16627)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (16615)Also succeeded, but the first one will report.
% 0.20/0.52 % (16617)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (16621)Also succeeded, but the first one will report.
% 0.20/0.52 % (16620)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (16614)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16614)------------------------------
% 0.20/0.52 % (16614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16614)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16614)Memory used [KB]: 5500
% 0.20/0.52 % (16614)Time elapsed: 0.123 s
% 0.20/0.52 % (16614)Instructions burned: 6 (million)
% 0.20/0.52 % (16614)------------------------------
% 0.20/0.52 % (16614)------------------------------
% 0.20/0.52 % (16609)Success in time 0.177 s
%------------------------------------------------------------------------------