TSTP Solution File: GEO191+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO191+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 : n022.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 0.60s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 122 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 38 ~; 49 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 76 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f405,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f324,f404]) ).
fof(f404,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f401,plain,
( $false
| ~ spl6_1 ),
inference(resolution,[],[f398,f114]) ).
fof(f114,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f398,plain,
( ! [X0] : distinct_lines(sK2,X0)
| ~ spl6_1 ),
inference(resolution,[],[f386,f117]) ).
fof(f117,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1,X0] : ~ 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/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f386,plain,
( ! [X4,X5] :
( convergent_lines(parallel_through_point(X5,sF5),X4)
| distinct_lines(sK2,X4) )
| ~ spl6_1 ),
inference(resolution,[],[f348,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_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(f348,plain,
( ! [X0,X1] :
( distinct_lines(parallel_through_point(X1,sF5),X0)
| distinct_lines(sK2,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f340,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X0)
=> ( distinct_lines(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f340,plain,
( ! [X6] : distinct_lines(sK2,parallel_through_point(X6,sF5))
| ~ spl6_1 ),
inference(resolution,[],[f326,f106]) ).
fof(f106,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,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(f326,plain,
( ! [X1] :
( apart_point_and_line(sF5,X1)
| distinct_lines(sK2,X1) )
| ~ spl6_1 ),
inference(resolution,[],[f160,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X1,X2,X0] :
( ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X2,X0] :
( apart_point_and_line(X0,X2)
=> ( distinct_lines(X2,X1)
| apart_point_and_line(X0,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/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f160,plain,
( apart_point_and_line(sF5,sK2)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl6_1
<=> apart_point_and_line(sF5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f324,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| ~ spl6_2 ),
inference(resolution,[],[f318,f114]) ).
fof(f318,plain,
( ! [X0] : distinct_lines(sK1,X0)
| ~ spl6_2 ),
inference(resolution,[],[f306,f117]) ).
fof(f306,plain,
( ! [X4,X5] :
( convergent_lines(parallel_through_point(X5,sF5),X4)
| distinct_lines(sK1,X4) )
| ~ spl6_2 ),
inference(resolution,[],[f262,f118]) ).
fof(f262,plain,
( ! [X0,X1] :
( distinct_lines(parallel_through_point(X1,sF5),X0)
| distinct_lines(sK1,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f252,f119]) ).
fof(f252,plain,
( ! [X4] : distinct_lines(sK1,parallel_through_point(X4,sF5))
| ~ spl6_2 ),
inference(resolution,[],[f246,f106]) ).
fof(f246,plain,
( ! [X0] :
( apart_point_and_line(sF5,X0)
| distinct_lines(sK1,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f120,f164]) ).
fof(f164,plain,
( apart_point_and_line(sF5,sK1)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl6_2
<=> apart_point_and_line(sF5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f165,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f156,f162,f158]) ).
fof(f156,plain,
( apart_point_and_line(sF5,sK1)
| apart_point_and_line(sF5,sK2) ),
inference(definition_folding,[],[f139,f155,f155]) ).
fof(f155,plain,
intersection_point(sK0,sK3) = sF5,
introduced(function_definition,[]) ).
fof(f139,plain,
( apart_point_and_line(intersection_point(sK0,sK3),sK2)
| apart_point_and_line(intersection_point(sK0,sK3),sK1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
? [X2,X0,X3,X1] :
( ~ apart_point_and_line(intersection_point(X0,X3),X1)
& convergent_lines(X2,X1)
& convergent_lines(X0,X3)
& ~ apart_point_and_line(intersection_point(X0,X3),X2)
& ( apart_point_and_line(intersection_point(X2,X1),X0)
| apart_point_and_line(intersection_point(X2,X1),X3) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
? [X1,X3,X2,X0] :
( ~ apart_point_and_line(intersection_point(X0,X3),X1)
& ~ apart_point_and_line(intersection_point(X0,X3),X2)
& ( apart_point_and_line(intersection_point(X2,X1),X0)
| apart_point_and_line(intersection_point(X2,X1),X3) )
& convergent_lines(X2,X1)
& convergent_lines(X0,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
~ ! [X1,X3,X2,X0] :
( ( ( apart_point_and_line(intersection_point(X2,X1),X0)
| apart_point_and_line(intersection_point(X2,X1),X3) )
& convergent_lines(X2,X1)
& convergent_lines(X0,X3) )
=> ( apart_point_and_line(intersection_point(X0,X3),X1)
| apart_point_and_line(intersection_point(X0,X3),X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X3,X1,X0,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X4) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X3,X1,X0,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X4) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.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 21:27:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (20954)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (20946)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (20938)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)
% 0.19/0.56 % (20962)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)
% 0.19/0.56 % (20947)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)
% 0.19/0.57 % (20944)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)
% 0.19/0.57 % (20936)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)
% 0.19/0.58 % (20939)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)
% 0.19/0.58 % (20937)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58 % (20960)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)
% 0.19/0.58 % (20956)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)
% 0.19/0.58 % (20948)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)
% 0.19/0.58 % (20953)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)
% 0.19/0.58 % (20952)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)
% 0.19/0.59 % (20955)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)
% 0.19/0.59 % (20945)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.59 % (20961)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.59 TRYING [1]
% 0.19/0.59 % (20936)First to succeed.
% 0.19/0.59 TRYING [2]
% 0.19/0.59 TRYING [3]
% 0.19/0.60 % (20936)Refutation found. Thanks to Tanya!
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.60 % (20936)------------------------------
% 0.19/0.60 % (20936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (20936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (20936)Termination reason: Refutation
% 0.19/0.60
% 0.19/0.60 % (20936)Memory used [KB]: 5628
% 0.19/0.60 % (20936)Time elapsed: 0.182 s
% 0.19/0.60 % (20936)Instructions burned: 9 (million)
% 0.19/0.60 % (20936)------------------------------
% 0.19/0.60 % (20936)------------------------------
% 0.19/0.60 % (20932)Success in time 0.244 s
%------------------------------------------------------------------------------