TSTP Solution File: GEO208+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO208+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 : n018.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 16:12:17 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 88 ( 39 ~; 19 |; 24 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 29 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,plain,
$false,
inference(subsumption_resolution,[],[f96,f81]) ).
fof(f81,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( distinct_lines(sK0,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ apart_point_and_line(sK1,sK0)
& ~ apart_point_and_line(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f61,f62]) ).
fof(f62,plain,
( ? [X0,X1,X2] :
( distinct_lines(X0,X2)
& ~ convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
=> ( distinct_lines(sK0,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ apart_point_and_line(sK1,sK0)
& ~ apart_point_and_line(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1,X2] :
( distinct_lines(X0,X2)
& ~ convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
? [X2,X0,X1] :
( distinct_lines(X2,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X1,X2,X0] :
( distinct_lines(X2,X1)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X1,X2,X0] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X2,X1) )
=> ~ distinct_lines(X2,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X2,X1] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,X2) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X2,X1] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f96,plain,
apart_point_and_line(sK1,sK0),
inference(resolution,[],[f93,f80]) ).
fof(f80,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f93,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK0) ),
inference(subsumption_resolution,[],[f91,f82]) ).
fof(f82,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f91,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| convergent_lines(sK0,sK2)
| apart_point_and_line(X0,sK0) ),
inference(resolution,[],[f84,f83]) ).
fof(f83,plain,
distinct_lines(sK0,sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| convergent_lines(X0,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2)
| convergent_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0,X2,X1] :
( apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X2,X1,X0] :
( apart_point_and_line(X2,X0)
| convergent_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X1)
=> ( apart_point_and_line(X2,X0)
| convergent_lines(X0,X1)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 21:31:54 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.47 % (27712)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)
% 0.15/0.47 % (27713)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (27726)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)
% 0.15/0.47 % (27714)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.48 TRYING [1]
% 0.15/0.48 TRYING [2]
% 0.15/0.48 % (27714)Instruction limit reached!
% 0.15/0.48 % (27714)------------------------------
% 0.15/0.48 % (27714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (27714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (27714)Termination reason: Unknown
% 0.15/0.48 % (27714)Termination phase: shuffling
% 0.15/0.48
% 0.15/0.48 % (27714)Memory used [KB]: 895
% 0.15/0.48 % (27714)Time elapsed: 0.003 s
% 0.15/0.48 % (27714)Instructions burned: 2 (million)
% 0.15/0.48 % (27714)------------------------------
% 0.15/0.48 % (27714)------------------------------
% 0.15/0.48 % (27713)First to succeed.
% 0.15/0.48 % (27726)Also succeeded, but the first one will report.
% 0.15/0.48 % (27728)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)
% 0.15/0.48 % (27713)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (27713)------------------------------
% 0.15/0.48 % (27713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (27713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (27713)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (27713)Memory used [KB]: 5373
% 0.15/0.48 % (27713)Time elapsed: 0.103 s
% 0.15/0.48 % (27713)Instructions burned: 2 (million)
% 0.15/0.48 % (27713)------------------------------
% 0.15/0.48 % (27713)------------------------------
% 0.15/0.48 % (27705)Success in time 0.161 s
%------------------------------------------------------------------------------