TSTP Solution File: GEO184+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO184+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_uns --cores 0 -t %d %s
% Computer : n012.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 16:09:01 EDT 2022
% Result : Theorem 1.72s 0.58s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 149 ( 51 ~; 47 |; 35 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 110 ( 94 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f249,plain,
$false,
inference(unit_resulting_resolution,[],[f156,f181,f157,f163,f162,f159,f137]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X2,X1,X3,X0] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X2) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X2,X1,X3,X0] :
( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X2,X1,X3,X0] :
( ( distinct_lines(X2,X3)
& distinct_points(X1,X0) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f159,plain,
distinct_lines(sK0,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f122,f146]) ).
fof(f146,plain,
! [X0,X1] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f122,plain,
~ equal_lines(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( incident_point_and_line(sK2,sK0)
& ~ equal_lines(sK0,line_connecting(sK2,sK1))
& incident_point_and_line(sK1,sK0)
& convergent_lines(sK0,sK3)
& distinct_points(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f101,f102]) ).
fof(f102,plain,
( ? [X0,X1,X2,X3] :
( incident_point_and_line(X2,X0)
& ~ equal_lines(X0,line_connecting(X2,X1))
& incident_point_and_line(X1,X0)
& convergent_lines(X0,X3)
& distinct_points(X2,X1) )
=> ( incident_point_and_line(sK2,sK0)
& ~ equal_lines(sK0,line_connecting(sK2,sK1))
& incident_point_and_line(sK1,sK0)
& convergent_lines(sK0,sK3)
& distinct_points(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0,X1,X2,X3] :
( incident_point_and_line(X2,X0)
& ~ equal_lines(X0,line_connecting(X2,X1))
& incident_point_and_line(X1,X0)
& convergent_lines(X0,X3)
& distinct_points(X2,X1) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
? [X2,X1,X0,X3] :
( incident_point_and_line(X0,X2)
& ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0,X3,X2,X1] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X3,X2,X1] :
( ( convergent_lines(X2,X3)
& distinct_points(X0,X1)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f162,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f119,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f119,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f103]) ).
fof(f163,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f119,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,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(f157,plain,
~ apart_point_and_line(sK2,sK0),
inference(unit_resulting_resolution,[],[f123,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ incident_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
=> ~ apart_point_and_line(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
<=> ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ~ apart_point_and_line(X0,X1)
<=> incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f123,plain,
incident_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f103]) ).
fof(f181,plain,
distinct_points(sK1,sK2),
inference(unit_resulting_resolution,[],[f142,f119,f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X0)
| distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X2,X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( distinct_points(X1,X0)
| distinct_points(X2,X0)
| ~ distinct_points(X1,X2) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X2,X0] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X2,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(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f142,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(f156,plain,
~ apart_point_and_line(sK1,sK0),
inference(unit_resulting_resolution,[],[f121,f130]) ).
fof(f121,plain,
incident_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % 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 : n012.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 21:25:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (17294)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56 % (17284)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (17286)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57 % (17278)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)
% 1.72/0.57 % (17276)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.72/0.58 % (17281)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.72/0.58 % (17286)Instruction limit reached!
% 1.72/0.58 % (17286)------------------------------
% 1.72/0.58 % (17286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (17286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (17286)Termination reason: Unknown
% 1.72/0.58 % (17286)Termination phase: Saturation
% 1.72/0.58
% 1.72/0.58 % (17286)Memory used [KB]: 6012
% 1.72/0.58 % (17286)Time elapsed: 0.086 s
% 1.72/0.58 % (17286)Instructions burned: 8 (million)
% 1.72/0.58 % (17286)------------------------------
% 1.72/0.58 % (17286)------------------------------
% 1.72/0.58 % (17284)First to succeed.
% 1.72/0.58 % (17276)Also succeeded, but the first one will report.
% 1.72/0.58 % (17284)Refutation found. Thanks to Tanya!
% 1.72/0.58 % SZS status Theorem for theBenchmark
% 1.72/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58 % (17284)------------------------------
% 1.72/0.58 % (17284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (17284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (17284)Termination reason: Refutation
% 1.72/0.58
% 1.72/0.58 % (17284)Memory used [KB]: 6012
% 1.72/0.58 % (17284)Time elapsed: 0.153 s
% 1.72/0.58 % (17284)Instructions burned: 6 (million)
% 1.72/0.58 % (17284)------------------------------
% 1.72/0.58 % (17284)------------------------------
% 1.72/0.58 % (17270)Success in time 0.234 s
%------------------------------------------------------------------------------