TSTP Solution File: GEO190+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n013.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 16:12:11 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 112 ( 1 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 100 ( 31 ~; 25 |; 34 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 73 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f282,plain,
$false,
inference(resolution,[],[f268,f131]) ).
fof(f131,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f268,plain,
! [X0] : convergent_lines(sF3,X0),
inference(resolution,[],[f219,f155]) ).
fof(f155,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f219,plain,
! [X8,X7] :
( convergent_lines(parallel_through_point(X7,sK1),X8)
| convergent_lines(sF3,X8) ),
inference(resolution,[],[f134,f205]) ).
fof(f205,plain,
! [X0] : convergent_lines(sF3,parallel_through_point(X0,sK1)),
inference(resolution,[],[f202,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f202,plain,
! [X4] : distinct_lines(sF3,parallel_through_point(X4,sK1)),
inference(resolution,[],[f197,f160]) ).
fof(f160,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f197,plain,
! [X0] :
( apart_point_and_line(sK1,X0)
| distinct_lines(sF3,X0) ),
inference(resolution,[],[f125,f174]) ).
fof(f174,plain,
apart_point_and_line(sK1,sF3),
inference(resolution,[],[f133,f168]) ).
fof(f168,plain,
~ incident_point_and_line(sK1,sF3),
inference(definition_folding,[],[f142,f167]) ).
fof(f167,plain,
line_connecting(sK2,sK0) = sF3,
introduced(function_definition,[]) ).
fof(f142,plain,
~ incident_point_and_line(sK1,line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ incident_point_and_line(sK1,line_connecting(sK2,sK0))
& incident_point_and_line(sK1,line_connecting(sK0,sK2))
& distinct_points(sK2,sK1)
& distinct_points(sK0,sK1)
& distinct_points(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2] :
( ~ incident_point_and_line(X1,line_connecting(X2,X0))
& incident_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X2,X1)
& distinct_points(X0,X1)
& distinct_points(X0,X2) )
=> ( ~ incident_point_and_line(sK1,line_connecting(sK2,sK0))
& incident_point_and_line(sK1,line_connecting(sK0,sK2))
& distinct_points(sK2,sK1)
& distinct_points(sK0,sK1)
& distinct_points(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(X1,line_connecting(X2,X0))
& incident_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X2,X1)
& distinct_points(X0,X1)
& distinct_points(X0,X2) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
? [X2,X0,X1] :
( ~ incident_point_and_line(X0,line_connecting(X1,X2))
& incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0)
& distinct_points(X2,X0)
& distinct_points(X2,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0,X2,X1] :
( ~ incident_point_and_line(X0,line_connecting(X1,X2))
& incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0)
& distinct_points(X2,X1)
& distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X2,X1] :
( ( incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0)
& distinct_points(X2,X1)
& distinct_points(X2,X0) )
=> incident_point_and_line(X0,line_connecting(X1,X2)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X1,X0] :
( ( incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> incident_point_and_line(X2,line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X1,X0] :
( ( incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> incident_point_and_line(X2,line_connecting(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f133,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) )
& ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
<=> ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X1,X0,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.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 : Mon Aug 29 21:22:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (1418)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (1415)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)
% 0.19/0.52 % (1421)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (1415)Refutation not found, incomplete strategy% (1415)------------------------------
% 0.19/0.52 % (1415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1415)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (1415)Memory used [KB]: 5500
% 0.19/0.52 % (1415)Time elapsed: 0.115 s
% 0.19/0.52 % (1415)Instructions burned: 3 (million)
% 0.19/0.52 % (1415)------------------------------
% 0.19/0.52 % (1415)------------------------------
% 0.19/0.52 % (1423)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)
% 0.19/0.52 % (1430)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)
% 0.19/0.52 % (1439)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (1437)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)
% 0.19/0.52 % (1414)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)
% 0.19/0.52 % (1416)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.53 % (1439)First to succeed.
% 0.19/0.53 % (1431)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (1427)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (1421)Instruction limit reached!
% 0.19/0.53 % (1421)------------------------------
% 0.19/0.53 % (1421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1421)Termination reason: Unknown
% 0.19/0.53 % (1421)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1421)Memory used [KB]: 5500
% 0.19/0.53 % (1421)Time elapsed: 0.126 s
% 0.19/0.53 % (1421)Instructions burned: 8 (million)
% 0.19/0.53 % (1421)------------------------------
% 0.19/0.53 % (1421)------------------------------
% 0.19/0.53 % (1420)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)
% 0.19/0.53 % (1422)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (1422)Instruction limit reached!
% 0.19/0.53 % (1422)------------------------------
% 0.19/0.53 % (1422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (1417)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)
% 0.19/0.53 % (1436)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (1439)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (1439)------------------------------
% 0.19/0.53 % (1439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1439)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (1439)Memory used [KB]: 5500
% 0.19/0.53 % (1439)Time elapsed: 0.120 s
% 0.19/0.53 % (1439)Instructions burned: 9 (million)
% 0.19/0.53 % (1439)------------------------------
% 0.19/0.53 % (1439)------------------------------
% 0.19/0.53 % (1413)Success in time 0.184 s
%------------------------------------------------------------------------------