TSTP Solution File: GEO203+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO203+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 : n028.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 16:12:16 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 16 unt; 0 def)
% Number of atoms : 144 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 144 ( 55 ~; 47 |; 28 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 79 ( 67 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f332,plain,
$false,
inference(subsumption_resolution,[],[f331,f189]) ).
fof(f189,plain,
~ apart_point_and_line(sF3,sK2),
inference(subsumption_resolution,[],[f186,f134]) ).
fof(f134,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ equal_lines(line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),sK2)
& distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
& convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2] :
( ~ equal_lines(line_connecting(intersection_point(X2,X1),intersection_point(X2,X0)),X2)
& distinct_points(intersection_point(X2,X1),intersection_point(X2,X0))
& convergent_lines(X2,X0)
& convergent_lines(X2,X1) )
=> ( ~ equal_lines(line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),sK2)
& distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
& convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1,X2] :
( ~ equal_lines(line_connecting(intersection_point(X2,X1),intersection_point(X2,X0)),X2)
& distinct_points(intersection_point(X2,X1),intersection_point(X2,X0))
& convergent_lines(X2,X0)
& convergent_lines(X2,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
? [X1,X0,X2] :
( ~ equal_lines(line_connecting(intersection_point(X2,X0),intersection_point(X2,X1)),X2)
& distinct_points(intersection_point(X2,X0),intersection_point(X2,X1))
& convergent_lines(X2,X1)
& convergent_lines(X2,X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X1,X2,X0] :
( ~ equal_lines(line_connecting(intersection_point(X2,X0),intersection_point(X2,X1)),X2)
& convergent_lines(X2,X1)
& distinct_points(intersection_point(X2,X0),intersection_point(X2,X1))
& convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X1,X2,X0] :
( ( convergent_lines(X2,X1)
& distinct_points(intersection_point(X2,X0),intersection_point(X2,X1))
& convergent_lines(X2,X0) )
=> equal_lines(line_connecting(intersection_point(X2,X0),intersection_point(X2,X1)),X2) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X2,X0] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) )
=> equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X2,X0] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) )
=> equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f186,plain,
( ~ convergent_lines(sK2,sK1)
| ~ apart_point_and_line(sF3,sK2) ),
inference(superposition,[],[f131,f173]) ).
fof(f173,plain,
sF3 = intersection_point(sK2,sK1),
introduced(function_definition,[]) ).
fof(f131,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f331,plain,
apart_point_and_line(sF3,sK2),
inference(subsumption_resolution,[],[f330,f188]) ).
fof(f188,plain,
~ apart_point_and_line(sF4,sK2),
inference(subsumption_resolution,[],[f187,f135]) ).
fof(f135,plain,
convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f187,plain,
( ~ apart_point_and_line(sF4,sK2)
| ~ convergent_lines(sK2,sK0) ),
inference(superposition,[],[f131,f174]) ).
fof(f174,plain,
intersection_point(sK2,sK0) = sF4,
introduced(function_definition,[]) ).
fof(f330,plain,
( apart_point_and_line(sF4,sK2)
| apart_point_and_line(sF3,sK2) ),
inference(subsumption_resolution,[],[f329,f196]) ).
fof(f196,plain,
~ apart_point_and_line(sF3,sF5),
inference(subsumption_resolution,[],[f195,f177]) ).
fof(f177,plain,
distinct_points(sF3,sF4),
inference(definition_folding,[],[f136,f174,f173]) ).
fof(f136,plain,
distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),
inference(cnf_transformation,[],[f110]) ).
fof(f195,plain,
( ~ distinct_points(sF3,sF4)
| ~ apart_point_and_line(sF3,sF5) ),
inference(superposition,[],[f166,f175]) ).
fof(f175,plain,
line_connecting(sF3,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f166,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f329,plain,
( apart_point_and_line(sF3,sF5)
| apart_point_and_line(sF3,sK2)
| apart_point_and_line(sF4,sK2) ),
inference(subsumption_resolution,[],[f326,f191]) ).
fof(f191,plain,
~ apart_point_and_line(sF4,sF5),
inference(subsumption_resolution,[],[f190,f177]) ).
fof(f190,plain,
( ~ apart_point_and_line(sF4,sF5)
| ~ distinct_points(sF3,sF4) ),
inference(superposition,[],[f162,f175]) ).
fof(f162,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f326,plain,
( apart_point_and_line(sF4,sF5)
| apart_point_and_line(sF3,sF5)
| apart_point_and_line(sF4,sK2)
| apart_point_and_line(sF3,sK2) ),
inference(resolution,[],[f294,f178]) ).
fof(f178,plain,
distinct_lines(sF5,sK2),
inference(resolution,[],[f143,f176]) ).
fof(f176,plain,
~ equal_lines(sF5,sK2),
inference(definition_folding,[],[f137,f175,f174,f173]) ).
fof(f137,plain,
~ equal_lines(line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),sK2),
inference(cnf_transformation,[],[f110]) ).
fof(f143,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) )
& ( equal_lines(X0,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X1,X0] :
( ( ~ distinct_lines(X1,X0)
| ~ equal_lines(X1,X0) )
& ( equal_lines(X1,X0)
| distinct_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( ~ distinct_lines(X1,X0)
<=> equal_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
<=> equal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f294,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sF4,X1)
| apart_point_and_line(sF3,X0)
| apart_point_and_line(sF3,X1)
| apart_point_and_line(sF4,X0) ),
inference(resolution,[],[f164,f177]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X0,X3) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2)
| ~ distinct_points(X0,X3) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0,X2,X3] :
( ( distinct_lines(X1,X2)
& distinct_points(X0,X3) )
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X3,X4,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % 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 : n028.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 21:47:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (12722)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)
% 0.18/0.49 % (12730)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (12731)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)
% 0.18/0.50 % (12723)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)
% 0.18/0.50 % (12730)Instruction limit reached!
% 0.18/0.50 % (12730)------------------------------
% 0.18/0.50 % (12730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (12730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (12730)Termination reason: Unknown
% 0.18/0.50 % (12730)Termination phase: Blocked clause elimination
% 0.18/0.50
% 0.18/0.50 % (12730)Memory used [KB]: 1023
% 0.18/0.50 % (12730)Time elapsed: 0.003 s
% 0.18/0.50 % (12730)Instructions burned: 3 (million)
% 0.18/0.50 % (12730)------------------------------
% 0.18/0.50 % (12730)------------------------------
% 0.18/0.50 % (12725)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)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.51 TRYING [3]
% 0.18/0.51 % (12727)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)
% 0.18/0.51 % (12726)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (12740)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51 % (12733)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)
% 0.18/0.51 TRYING [4]
% 0.18/0.51 % (12724)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)
% 0.18/0.51 % (12723)Refutation not found, incomplete strategy% (12723)------------------------------
% 0.18/0.51 % (12723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (12747)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 % (12723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (12723)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (12723)Memory used [KB]: 5500
% 0.18/0.51 % (12723)Time elapsed: 0.125 s
% 0.18/0.51 % (12723)Instructions burned: 4 (million)
% 0.18/0.51 % (12723)------------------------------
% 0.18/0.51 % (12723)------------------------------
% 0.18/0.51 % (12750)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)
% 0.18/0.51 % (12749)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)
% 0.18/0.52 % (12734)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52 % (12751)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (12752)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)
% 0.18/0.52 % (12743)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)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (12726)First to succeed.
% 0.18/0.52 % (12745)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)
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (12728)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)
% 0.18/0.52 % (12726)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (12726)------------------------------
% 0.18/0.52 % (12726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (12726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (12726)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (12726)Memory used [KB]: 5628
% 0.18/0.52 % (12726)Time elapsed: 0.116 s
% 0.18/0.52 % (12726)Instructions burned: 8 (million)
% 0.18/0.52 % (12726)------------------------------
% 0.18/0.52 % (12726)------------------------------
% 0.18/0.52 % (12718)Success in time 0.181 s
%------------------------------------------------------------------------------