TSTP Solution File: GEO208+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO208+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 : n010.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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 64 ( 21 ~; 8 |; 26 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 43 ( 31 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,plain,
$false,
inference(subsumption_resolution,[],[f187,f180]) ).
fof(f180,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f142,f148]) ).
fof(f148,plain,
parallel_lines(sK1,sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ~ equal_lines(sK1,sK0)
& parallel_lines(sK1,sK0)
& incident_point_and_line(sK2,sK0)
& incident_point_and_line(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( ~ equal_lines(X1,X0)
& parallel_lines(X1,X0)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) )
=> ( ~ equal_lines(sK1,sK0)
& parallel_lines(sK1,sK0)
& incident_point_and_line(sK2,sK0)
& incident_point_and_line(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,X0)
& parallel_lines(X1,X0)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
? [X1,X0,X2] :
( ~ equal_lines(X0,X1)
& parallel_lines(X0,X1)
& incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
? [X0,X1,X2] :
( ~ equal_lines(X0,X1)
& parallel_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
~ ! [X0,X1,X2] :
( ( parallel_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) )
=> equal_lines(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X2,X0] :
( ( incident_point_and_line(X0,X1)
& incident_point_and_line(X0,X2)
& parallel_lines(X1,X2) )
=> equal_lines(X1,X2) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X2,X0] :
( ( incident_point_and_line(X0,X1)
& incident_point_and_line(X0,X2)
& parallel_lines(X1,X2) )
=> equal_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f142,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) )
& ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
<=> parallel_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f187,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f172,f182]) ).
fof(f182,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f154,f149]) ).
fof(f149,plain,
~ equal_lines(sK1,sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f154,plain,
! [X0,X1] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( ~ distinct_lines(X1,X0)
| ~ equal_lines(X1,X0) )
& ( equal_lines(X1,X0)
| distinct_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
<=> equal_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
<=> equal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f172,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:21:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (17350)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)
% 0.19/0.50 % (17372)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)
% 0.19/0.50 % (17350)First to succeed.
% 0.19/0.50 % (17364)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)
% 0.19/0.50 % (17363)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)
% 0.19/0.50 % (17350)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (17350)------------------------------
% 0.19/0.50 % (17350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17350)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (17350)Memory used [KB]: 1023
% 0.19/0.50 % (17350)Time elapsed: 0.100 s
% 0.19/0.50 % (17350)Instructions burned: 2 (million)
% 0.19/0.50 % (17350)------------------------------
% 0.19/0.50 % (17350)------------------------------
% 0.19/0.50 % (17344)Success in time 0.157 s
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