TSTP Solution File: GEO197+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO197+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 : n002.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 16:12:14 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 105 ( 36 ~; 26 |; 34 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 81 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294,plain,
$false,
inference(resolution,[],[f280,f177]) ).
fof(f177,plain,
apart_point_and_line(intersection_point(sK2,sK0),sK1),
inference(resolution,[],[f156,f152]) ).
fof(f152,plain,
~ incident_point_and_line(intersection_point(sK2,sK0),sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( convergent_lines(sK1,sK0)
& ~ incident_point_and_line(intersection_point(sK2,sK0),sK1)
& convergent_lines(sK2,sK0)
& convergent_lines(sK1,sK2)
& incident_point_and_line(intersection_point(sK1,sK0),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f114,f115]) ).
fof(f115,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X0)
& ~ incident_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X0)
& convergent_lines(X1,X2)
& incident_point_and_line(intersection_point(X1,X0),X2) )
=> ( convergent_lines(sK1,sK0)
& ~ incident_point_and_line(intersection_point(sK2,sK0),sK1)
& convergent_lines(sK2,sK0)
& convergent_lines(sK1,sK2)
& incident_point_and_line(intersection_point(sK1,sK0),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X0)
& ~ incident_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X0)
& convergent_lines(X1,X2)
& incident_point_and_line(intersection_point(X1,X0),X2) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
? [X2,X0,X1] :
( convergent_lines(X0,X2)
& ~ incident_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2)
& convergent_lines(X0,X1)
& incident_point_and_line(intersection_point(X0,X2),X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X2,X1,X0] :
( ~ incident_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& incident_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ! [X2,X1,X0] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& incident_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X1,X2) )
=> incident_point_and_line(intersection_point(X1,X2),X0) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1) )
=> incident_point_and_line(intersection_point(X2,X1),X0) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1) )
=> incident_point_and_line(intersection_point(X2,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f156,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) )
& ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
<=> incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f280,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f247,f148]) ).
fof(f148,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] : ~ 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/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f247,plain,
! [X10,X11,X9] :
( apart_point_and_line(X9,parallel_through_point(X10,X11))
| ~ apart_point_and_line(X9,X10) ),
inference(resolution,[],[f158,f186]) ).
fof(f186,plain,
! [X2,X1] : ~ distinct_lines(X1,parallel_through_point(X1,X2)),
inference(resolution,[],[f183,f176]) ).
fof(f176,plain,
! [X2,X1] : ~ distinct_lines(parallel_through_point(X1,X2),X1),
inference(resolution,[],[f131,f154]) ).
fof(f154,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f131,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f183,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ distinct_lines(X0,X1) ),
inference(resolution,[],[f130,f161]) ).
fof(f161,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f130,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X0)
| ~ distinct_lines(X1,X2)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X2,X1] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f158,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X0,X2] :
( ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X2,X0] :
( apart_point_and_line(X2,X0)
=> ( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO197+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:42:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 % (28832)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)
% 0.19/0.46 TRYING [1]
% 0.19/0.46 % (28855)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.46 TRYING [2]
% 0.19/0.46 TRYING [3]
% 0.19/0.47 % (28847)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.47 TRYING [4]
% 0.19/0.47 % (28840)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48 TRYING [5]
% 0.19/0.49 % (28853)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.49 % (28830)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (28827)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)
% 0.19/0.50 % (28825)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)
% 0.19/0.50 % (28835)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)
% 0.19/0.50 % (28828)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)
% 0.19/0.50 % (28838)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (28834)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (28834)Instruction limit reached!
% 0.19/0.50 % (28834)------------------------------
% 0.19/0.50 % (28834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28834)Termination reason: Unknown
% 0.19/0.50 % (28834)Termination phase: Clausification
% 0.19/0.50
% 0.19/0.50 % (28834)Memory used [KB]: 895
% 0.19/0.50 % (28834)Time elapsed: 0.002 s
% 0.19/0.50 % (28834)Instructions burned: 2 (million)
% 0.19/0.50 % (28834)------------------------------
% 0.19/0.50 % (28834)------------------------------
% 0.19/0.50 % (28832)Instruction limit reached!
% 0.19/0.50 % (28832)------------------------------
% 0.19/0.50 % (28832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28833)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (28836)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (28841)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (28849)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)
% 0.19/0.51 % (28843)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (28831)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (28848)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)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (28826)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 % (28852)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (28846)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (28826)Refutation not found, incomplete strategy% (28826)------------------------------
% 0.19/0.52 % (28826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28826)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (28826)Memory used [KB]: 5500
% 0.19/0.52 % (28826)Time elapsed: 0.127 s
% 0.19/0.52 % (28826)Instructions burned: 4 (million)
% 0.19/0.52 % (28826)------------------------------
% 0.19/0.52 % (28826)------------------------------
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (28835)First to succeed.
% 0.19/0.52 % (28832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28832)Termination reason: Unknown
% 0.19/0.52 % (28832)Termination phase: Finite model building SAT solving
% 0.19/0.52
% 0.19/0.52 % (28832)Memory used [KB]: 6780
% 0.19/0.52 % (28832)Time elapsed: 0.130 s
% 0.19/0.52 % (28832)Instructions burned: 52 (million)
% 0.19/0.52 % (28832)------------------------------
% 0.19/0.52 % (28832)------------------------------
% 0.19/0.53 % (28833)Instruction limit reached!
% 0.19/0.53 % (28833)------------------------------
% 0.19/0.53 % (28833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28833)Termination reason: Unknown
% 0.19/0.53 % (28833)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (28833)Memory used [KB]: 5500
% 0.19/0.53 % (28833)Time elapsed: 0.098 s
% 0.19/0.53 % (28833)Instructions burned: 7 (million)
% 0.19/0.53 % (28833)------------------------------
% 0.19/0.53 % (28833)------------------------------
% 0.19/0.53 % (28835)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 % (28835)------------------------------
% 0.19/0.53 % (28835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28835)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (28835)Memory used [KB]: 1023
% 0.19/0.53 % (28835)Time elapsed: 0.128 s
% 0.19/0.53 % (28835)Instructions burned: 5 (million)
% 0.19/0.53 % (28835)------------------------------
% 0.19/0.53 % (28835)------------------------------
% 0.19/0.53 % (28822)Success in time 0.182 s
%------------------------------------------------------------------------------