TSTP Solution File: GEO189+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO189+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_uns --cores 0 -t %d %s
% Computer : n019.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 16:09:03 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 95 ( 34 ~; 33 |; 19 &)
% ( 0 <=>; 9 =>; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(unit_resulting_resolution,[],[f53,f73,f78,f51,f70,f121,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X3,X1,X2,X0] :
( apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X1,X3)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2,X3] :
( ( distinct_points(X1,X3)
& distinct_lines(X2,X0) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X0,X3,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f121,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f55,f75,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X1,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(f75,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f54,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f54,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
? [X2,X0,X1] :
( apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X1)
& distinct_points(X2,X0)
& distinct_points(X1,X0)
& ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X2,X1] :
( apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X1)
& distinct_points(X2,X0)
& ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X1] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0)
& ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0) )
=> ~ apart_point_and_line(X1,line_connecting(X2,X0)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ~ apart_point_and_line(X1,line_connecting(X0,X2)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ~ apart_point_and_line(X1,line_connecting(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f55,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f70,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f53,f48]) ).
fof(f51,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f37]) ).
fof(f78,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f54,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[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(f73,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f53,f50]) ).
fof(f53,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.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 21:29:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (9443)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (9462)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.50 % (9450)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (9443)Instruction limit reached!
% 0.20/0.51 % (9443)------------------------------
% 0.20/0.51 % (9443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (9445)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (9446)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (9450)First to succeed.
% 0.20/0.51 % (9443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (9443)Termination reason: Unknown
% 0.20/0.51 % (9443)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (9443)Memory used [KB]: 6012
% 0.20/0.51 % (9443)Time elapsed: 0.099 s
% 0.20/0.51 % (9443)Instructions burned: 14 (million)
% 0.20/0.51 % (9443)------------------------------
% 0.20/0.51 % (9443)------------------------------
% 0.20/0.52 % (9449)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (9450)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (9450)------------------------------
% 0.20/0.52 % (9450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9450)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (9450)Memory used [KB]: 6012
% 0.20/0.52 % (9450)Time elapsed: 0.113 s
% 0.20/0.52 % (9450)Instructions burned: 10 (million)
% 0.20/0.52 % (9450)------------------------------
% 0.20/0.52 % (9450)------------------------------
% 0.20/0.52 % (9441)Success in time 0.167 s
%------------------------------------------------------------------------------