TSTP Solution File: GEO200+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO200+1 : 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 : n016.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 16:12:15 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 7 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 137 ( 56 ~; 64 |; 6 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 89 ( 85 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(resolution,[],[f148,f67]) ).
fof(f67,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( distinct_points(sK1,sK0)
& distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f32,f50]) ).
fof(f50,plain,
( ? [X0,X1] :
( distinct_points(X1,X0)
& distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) )
=> ( distinct_points(sK1,sK0)
& distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0,X1] :
( distinct_points(X1,X0)
& distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X0] :
( distinct_points(X1,X0)
=> ~ distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f148,plain,
~ distinct_points(sK1,sK0),
inference(resolution,[],[f140,f71]) ).
fof(f71,plain,
! [X0,X1] :
( distinct_points(X0,X1)
| ~ distinct_points(X1,X0) ),
inference(resolution,[],[f57,f55]) ).
fof(f55,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f57,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
| ~ distinct_points(X2,X0)
| distinct_points(X0,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( distinct_points(X1,X0)
| ~ distinct_points(X1,X2)
| distinct_points(X2,X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X2,X1,X0] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( distinct_points(X1,X2)
=> ( distinct_points(X2,X0)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f140,plain,
~ distinct_points(sK0,sK1),
inference(resolution,[],[f130,f67]) ).
fof(f130,plain,
( ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f129,f66]) ).
fof(f66,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f51]) ).
fof(f129,plain,
! [X0,X1] :
( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
| ~ distinct_points(X1,X0)
| ~ distinct_points(X0,X1) ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
| ~ distinct_points(X0,X1)
| ~ distinct_points(X0,X1)
| ~ distinct_points(X1,X0) ),
inference(resolution,[],[f111,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f111,plain,
! [X3,X4,X5] :
( apart_point_and_line(X4,line_connecting(X5,X3))
| ~ distinct_lines(line_connecting(X5,X3),line_connecting(X3,X4))
| ~ distinct_points(X5,X3)
| ~ distinct_points(X3,X4) ),
inference(resolution,[],[f104,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,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/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f104,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,line_connecting(X0,X1))
| apart_point_and_line(X1,X2) ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,line_connecting(X0,X1))
| apart_point_and_line(X1,X2)
| ~ distinct_points(X0,X1)
| ~ distinct_points(X0,X1)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(resolution,[],[f88,f58]) ).
fof(f88,plain,
! [X6,X7,X4,X5] :
( apart_point_and_line(X4,line_connecting(X6,X7))
| ~ distinct_points(X4,X7)
| apart_point_and_line(X7,X5)
| apart_point_and_line(X4,X5)
| ~ distinct_points(X6,X7)
| ~ distinct_lines(X5,line_connecting(X6,X7)) ),
inference(resolution,[],[f69,f68]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X3,X0,X2] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X3,X2,X1,X0] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X0)
| ~ distinct_points(X3,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X3,X2,X1,X0] :
( ( distinct_lines(X1,X0)
& distinct_points(X3,X2) )
=> ( apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X3,X1,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n016.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 21:53:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (19720)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)
% 0.18/0.50 % (19723)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 % (19732)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (19737)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 % (19724)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 % (19729)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)
% 0.18/0.51 TRYING [2]
% 0.18/0.51 TRYING [3]
% 0.18/0.51 TRYING [4]
% 0.18/0.51 % (19734)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 TRYING [5]
% 0.18/0.52 % (19739)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)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 % (19722)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)
% 0.18/0.52 % (19726)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 % (19725)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)
% 0.18/0.52 % (19729)First to succeed.
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (19733)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 TRYING [3]
% 0.18/0.52 TRYING [4]
% 0.18/0.53 % (19741)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)
% 0.18/0.53 TRYING [6]
% 0.18/0.53 % (19747)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)
% 0.18/0.53 % (19749)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (19746)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 % (19729)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (19729)------------------------------
% 0.18/0.53 % (19729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (19729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (19729)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (19729)Memory used [KB]: 1023
% 0.18/0.53 % (19729)Time elapsed: 0.126 s
% 0.18/0.53 % (19729)Instructions burned: 4 (million)
% 0.18/0.53 % (19729)------------------------------
% 0.18/0.53 % (19729)------------------------------
% 0.18/0.53 % (19717)Success in time 0.189 s
%------------------------------------------------------------------------------