TSTP Solution File: GEO175+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO175+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 : 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 16:12:06 EDT 2022
% Result : Theorem 1.35s 0.54s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 148 ( 1 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 155 ( 53 ~; 57 |; 35 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 88 ( 72 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(subsumption_resolution,[],[f167,f103]) ).
fof(f103,plain,
~ apart_point_and_line(sF4,sK2),
inference(subsumption_resolution,[],[f102,f69]) ).
fof(f69,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ~ apart_point_and_line(sK1,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK1,intersection_point(sK2,sK3))
& distinct_points(sK1,sK0)
& ~ apart_point_and_line(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f49,f50]) ).
fof(f50,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& convergent_lines(X2,X3)
& distinct_points(X1,intersection_point(X2,X3))
& distinct_points(X1,X0)
& ~ apart_point_and_line(X1,X3) )
=> ( ~ apart_point_and_line(sK1,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK1,intersection_point(sK2,sK3))
& distinct_points(sK1,sK0)
& ~ apart_point_and_line(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& convergent_lines(X2,X3)
& distinct_points(X1,intersection_point(X2,X3))
& distinct_points(X1,X0)
& ~ apart_point_and_line(X1,X3) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
? [X3,X2,X1,X0] :
( ~ apart_point_and_line(X2,X1)
& convergent_lines(X1,X0)
& distinct_points(X2,intersection_point(X1,X0))
& distinct_points(X2,X3)
& ~ apart_point_and_line(X2,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
? [X3,X1,X2,X0] :
( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1)
& convergent_lines(X1,X0)
& distinct_points(X2,X3)
& distinct_points(X2,intersection_point(X1,X0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X3,X1,X2,X0] :
( ( convergent_lines(X1,X0)
& distinct_points(X2,X3)
& distinct_points(X2,intersection_point(X1,X0)) )
=> ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X4,X3,X0,X1] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& distinct_points(X0,intersection_point(X3,X4)) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X4,X3,X0,X1] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& distinct_points(X0,intersection_point(X3,X4)) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f102,plain,
( ~ convergent_lines(sK2,sK3)
| ~ apart_point_and_line(sF4,sK2) ),
inference(superposition,[],[f86,f72]) ).
fof(f72,plain,
intersection_point(sK2,sK3) = sF4,
introduced(function_definition,[]) ).
fof(f86,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f53,f58]) ).
fof(f58,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f53,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ~ apart_point_and_line(X1,X0)
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| distinct_points(X2,intersection_point(X0,X1))
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f167,plain,
apart_point_and_line(sF4,sK2),
inference(subsumption_resolution,[],[f166,f105]) ).
fof(f105,plain,
~ apart_point_and_line(sF4,sK3),
inference(subsumption_resolution,[],[f104,f69]) ).
fof(f104,plain,
( ~ apart_point_and_line(sF4,sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(superposition,[],[f90,f72]) ).
fof(f90,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f54,f58]) ).
fof(f54,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f166,plain,
( apart_point_and_line(sF4,sK3)
| apart_point_and_line(sF4,sK2) ),
inference(subsumption_resolution,[],[f165,f66]) ).
fof(f66,plain,
~ apart_point_and_line(sK1,sK3),
inference(cnf_transformation,[],[f51]) ).
fof(f165,plain,
( apart_point_and_line(sK1,sK3)
| apart_point_and_line(sF4,sK2)
| apart_point_and_line(sF4,sK3) ),
inference(subsumption_resolution,[],[f146,f70]) ).
fof(f70,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f146,plain,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK1,sK3)
| apart_point_and_line(sF4,sK2)
| apart_point_and_line(sF4,sK3) ),
inference(resolution,[],[f97,f73]) ).
fof(f73,plain,
distinct_points(sK1,sF4),
inference(definition_folding,[],[f68,f72]) ).
fof(f68,plain,
distinct_points(sK1,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f51]) ).
fof(f97,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(X1,sK3)
| apart_point_and_line(X1,sK2) ),
inference(resolution,[],[f71,f74]) ).
fof(f74,plain,
distinct_lines(sK2,sK3),
inference(resolution,[],[f65,f69]) ).
fof(f65,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X3)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X3)
| apart_point_and_line(X2,X3) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X1,X3,X0,X2] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X3,X0,X2] :
( ( distinct_lines(X2,X0)
& distinct_points(X1,X3) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X0,X3,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n002.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 21:36:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (2905)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)
% 0.19/0.51 % (2908)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 % (2922)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.52 % (2914)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.53 % (2927)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)
% 1.35/0.53 % (2928)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.53 % (2905)Refutation not found, incomplete strategy% (2905)------------------------------
% 1.35/0.53 % (2905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (2905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (2905)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.53
% 1.35/0.53 % (2905)Memory used [KB]: 5373
% 1.35/0.53 % (2905)Time elapsed: 0.125 s
% 1.35/0.53 % (2905)Instructions burned: 2 (million)
% 1.35/0.53 % (2905)------------------------------
% 1.35/0.53 % (2905)------------------------------
% 1.35/0.53 % (2932)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.53 % (2918)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)
% 1.35/0.53 % (2909)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)
% 1.35/0.53 % (2929)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.35/0.53 % (2920)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)
% 1.35/0.53 % (2931)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)
% 1.35/0.53 % (2906)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)
% 1.35/0.53 % (2911)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.54 % (2926)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)
% 1.35/0.54 % (2928)First to succeed.
% 1.35/0.54 % (2921)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.54 % (2922)Also succeeded, but the first one will report.
% 1.35/0.54 % (2910)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)
% 1.35/0.54 % (2923)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.54 % (2928)Refutation found. Thanks to Tanya!
% 1.35/0.54 % SZS status Theorem for theBenchmark
% 1.35/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.54 % (2928)------------------------------
% 1.35/0.54 % (2928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54 % (2928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54 % (2928)Termination reason: Refutation
% 1.35/0.54
% 1.35/0.54 % (2928)Memory used [KB]: 5500
% 1.35/0.54 % (2928)Time elapsed: 0.142 s
% 1.35/0.54 % (2928)Instructions burned: 6 (million)
% 1.35/0.54 % (2928)------------------------------
% 1.35/0.54 % (2928)------------------------------
% 1.35/0.54 % (2903)Success in time 0.187 s
%------------------------------------------------------------------------------