TSTP Solution File: GEO008-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 May 31 12:07:23 EDT 2023
% Result : Unsatisfiable 18.70s 2.80s
% Output : CNFRefutation 19.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 37 ~; 39 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U,V,X,W] :
( ~ between(U,V,X)
| ~ between(V,W,X)
| between(U,W,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,W,X)
| between(U,V,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U,V,X,W] :
( ~ between(U,V,X)
| ~ between(U,W,X)
| between(U,V,W)
| between(U,W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,hypothesis,
between(c,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f160,plain,
! [U,X,W] :
( ! [V] :
( ~ between(U,V,X)
| ~ between(V,W,X) )
| between(U,W,X) ),
inference(miniscoping,[status(esa)],[f57]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
! [U,V,X] :
( ! [W] :
( ~ between(U,V,W)
| ~ between(U,W,X) )
| between(U,V,X) ),
inference(miniscoping,[status(esa)],[f58]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f196,plain,
! [U,V,W] :
( ! [X] :
( ~ between(U,V,X)
| ~ between(U,W,X) )
| between(U,V,W)
| between(U,W,V) ),
inference(miniscoping,[status(esa)],[f80]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| between(X0,X1,X3)
| between(X0,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f200,plain,
between(a,c,e),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f201,plain,
between(a,d,e),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f202,plain,
between(c,b,d),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f203,plain,
~ between(a,b,e),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f209,plain,
between(d,b,c),
inference(resolution,[status(thm)],[f142,f202]) ).
fof(f924,plain,
between(e,d,a),
inference(resolution,[status(thm)],[f201,f142]) ).
fof(f926,plain,
! [X0] :
( ~ between(a,X0,e)
| between(a,X0,c)
| between(a,c,X0) ),
inference(resolution,[status(thm)],[f200,f197]) ).
fof(f971,plain,
between(e,c,a),
inference(resolution,[status(thm)],[f200,f142]) ).
fof(f1453,plain,
between(a,d,e),
inference(resolution,[status(thm)],[f924,f142]) ).
fof(f1473,plain,
between(a,c,e),
inference(resolution,[status(thm)],[f971,f142]) ).
fof(f2215,plain,
! [X0] :
( ~ between(X0,d,c)
| between(X0,b,c) ),
inference(resolution,[status(thm)],[f209,f161]) ).
fof(f2235,plain,
! [X0] :
( ~ between(X0,c,d)
| between(X0,b,d) ),
inference(resolution,[status(thm)],[f202,f161]) ).
fof(f2274,plain,
! [X0] :
( ~ between(a,X0,d)
| between(a,X0,e) ),
inference(resolution,[status(thm)],[f1453,f163]) ).
fof(f4513,plain,
( spl0_275
<=> between(a,d,c) ),
introduced(split_symbol_definition) ).
fof(f4514,plain,
( between(a,d,c)
| ~ spl0_275 ),
inference(component_clause,[status(thm)],[f4513]) ).
fof(f4530,plain,
( spl0_278
<=> between(a,c,d) ),
introduced(split_symbol_definition) ).
fof(f4531,plain,
( between(a,c,d)
| ~ spl0_278 ),
inference(component_clause,[status(thm)],[f4530]) ).
fof(f5112,plain,
! [X0] :
( ~ between(a,X0,c)
| between(a,X0,e) ),
inference(resolution,[status(thm)],[f1473,f163]) ).
fof(f7803,plain,
( between(a,d,c)
| between(a,c,d) ),
inference(resolution,[status(thm)],[f1453,f926]) ).
fof(f7804,plain,
( spl0_275
| spl0_278 ),
inference(split_clause,[status(thm)],[f7803,f4513,f4530]) ).
fof(f9187,plain,
( between(a,b,d)
| ~ spl0_278 ),
inference(resolution,[status(thm)],[f4531,f2235]) ).
fof(f9285,plain,
( between(a,b,c)
| ~ spl0_275 ),
inference(resolution,[status(thm)],[f4514,f2215]) ).
fof(f10743,plain,
( between(a,b,e)
| ~ spl0_278 ),
inference(resolution,[status(thm)],[f9187,f2274]) ).
fof(f10744,plain,
( $false
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[status(thm)],[f10743,f203]) ).
fof(f10745,plain,
~ spl0_278,
inference(contradiction_clause,[status(thm)],[f10744]) ).
fof(f11458,plain,
( between(a,b,e)
| ~ spl0_275 ),
inference(resolution,[status(thm)],[f5112,f9285]) ).
fof(f11459,plain,
( $false
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[status(thm)],[f11458,f203]) ).
fof(f11460,plain,
~ spl0_275,
inference(contradiction_clause,[status(thm)],[f11459]) ).
fof(f11461,plain,
$false,
inference(sat_refutation,[status(thm)],[f7804,f10745,f11460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 : Tue May 30 12:24:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 18.70/2.80 % Refutation found
% 18.70/2.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.70/2.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.46/2.83 % Elapsed time: 2.473706 seconds
% 19.46/2.83 % CPU time: 19.526321 seconds
% 19.46/2.83 % Memory used: 155.274 MB
%------------------------------------------------------------------------------