TSTP Solution File: GEO174+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO174+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 : n017.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 16:12:06 EDT 2022
% Result : Theorem 1.40s 0.53s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 80 ( 24 ~; 26 |; 21 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 4 con; 0-2 aty)
% Number of variables : 55 ( 43 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238,plain,
$false,
inference(subsumption_resolution,[],[f235,f129]) ).
fof(f129,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ distinct_lines(sK3,line_connecting(sK2,sK1))
& convergent_lines(sK3,sK0)
& distinct_points(sK2,sK1)
& ( apart_point_and_line(sK2,sK3)
| apart_point_and_line(sK1,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f80,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2,X3] :
( ~ distinct_lines(X3,line_connecting(X2,X1))
& convergent_lines(X3,X0)
& distinct_points(X2,X1)
& ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) ) )
=> ( ~ distinct_lines(sK3,line_connecting(sK2,sK1))
& convergent_lines(sK3,sK0)
& distinct_points(sK2,sK1)
& ( apart_point_and_line(sK2,sK3)
| apart_point_and_line(sK1,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( ~ distinct_lines(X3,line_connecting(X2,X1))
& convergent_lines(X3,X0)
& distinct_points(X2,X1)
& ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X0,X1,X2,X3] :
( ~ distinct_lines(X3,line_connecting(X2,X1))
& convergent_lines(X3,X0)
& ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) )
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X0,X1,X2,X3] :
( ( convergent_lines(X3,X0)
& ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) )
& distinct_points(X2,X1) )
=> distinct_lines(X3,line_connecting(X2,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X4,X1,X0,X3] :
( ( convergent_lines(X3,X4)
& distinct_points(X0,X1)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X4,X1,X0,X3] :
( ( convergent_lines(X3,X4)
& distinct_points(X0,X1)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) )
=> distinct_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f235,plain,
~ distinct_points(sK2,sK1),
inference(resolution,[],[f226,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f226,plain,
apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(resolution,[],[f223,f131]) ).
fof(f131,plain,
~ distinct_lines(sK3,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f110]) ).
fof(f223,plain,
! [X1] :
( distinct_lines(sK3,X1)
| apart_point_and_line(sK1,X1) ),
inference(resolution,[],[f216,f155]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X2,X0] :
( apart_point_and_line(X0,X2)
=> ( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f216,plain,
apart_point_and_line(sK1,sK3),
inference(subsumption_resolution,[],[f213,f129]) ).
fof(f213,plain,
( ~ distinct_points(sK2,sK1)
| apart_point_and_line(sK1,sK3) ),
inference(resolution,[],[f199,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f199,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| apart_point_and_line(sK1,sK3) ),
inference(resolution,[],[f181,f131]) ).
fof(f181,plain,
! [X0] :
( distinct_lines(sK3,X0)
| apart_point_and_line(sK1,sK3)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f155,f128]) ).
fof(f128,plain,
( apart_point_and_line(sK2,sK3)
| apart_point_and_line(sK1,sK3) ),
inference(cnf_transformation,[],[f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : n017.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 20:47:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (21195)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 % (21198)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 % (21210)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)
% 0.19/0.51 % (21205)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (21196)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (21203)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 % (21202)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 % (21193)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 % (21188)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 % (21214)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 % (21190)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 [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (21194)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)
% 0.19/0.52 % (21189)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 % (21195)Instruction limit reached!
% 0.19/0.52 % (21195)------------------------------
% 0.19/0.52 % (21195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21195)Termination reason: Unknown
% 0.19/0.52 % (21195)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (21195)Memory used [KB]: 5500
% 0.19/0.52 % (21195)Time elapsed: 0.116 s
% 0.19/0.52 % (21195)Instructions burned: 8 (million)
% 0.19/0.52 % (21195)------------------------------
% 0.19/0.52 % (21195)------------------------------
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (21191)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)
% 0.19/0.52 % (21192)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (21190)First to succeed.
% 0.19/0.52 % (21189)Refutation not found, incomplete strategy% (21189)------------------------------
% 0.19/0.52 % (21189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (21213)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 % (21201)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (21211)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 TRYING [4]
% 0.19/0.52 % (21204)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)
% 0.19/0.53 % (21215)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)
% 0.19/0.53 % (21216)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 TRYING [5]
% 0.19/0.53 % (21197)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)
% 0.19/0.53 % (21208)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)
% 0.19/0.53 % (21212)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (21217)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)
% 0.19/0.53 % (21209)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (21196)Instruction limit reached!
% 0.19/0.53 % (21196)------------------------------
% 0.19/0.53 % (21196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (21196)Termination reason: Unknown
% 0.19/0.53 % (21196)Termination phase: Blocked clause elimination
% 0.19/0.53
% 0.19/0.53 % (21196)Memory used [KB]: 895
% 0.19/0.53 % (21196)Time elapsed: 0.002 s
% 0.19/0.53 % (21196)Instructions burned: 2 (million)
% 0.19/0.53 % (21196)------------------------------
% 0.19/0.53 % (21196)------------------------------
% 0.19/0.53 % (21199)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.53 TRYING [4]
% 1.40/0.53 TRYING [3]
% 1.40/0.53 % (21190)Refutation found. Thanks to Tanya!
% 1.40/0.53 % SZS status Theorem for theBenchmark
% 1.40/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53 % (21190)------------------------------
% 1.40/0.53 % (21190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (21190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (21190)Termination reason: Refutation
% 1.40/0.53
% 1.40/0.53 % (21190)Memory used [KB]: 1023
% 1.40/0.53 % (21190)Time elapsed: 0.115 s
% 1.40/0.53 % (21190)Instructions burned: 7 (million)
% 1.40/0.53 % (21190)------------------------------
% 1.40/0.53 % (21190)------------------------------
% 1.40/0.53 % (21187)Success in time 0.18 s
%------------------------------------------------------------------------------