TSTP Solution File: SYN312-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:46:28 EDT 2023
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 30 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 50 (; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,X3,X2,X1] :
( p(X,X3,X2)
| ~ p(X,X1,X2)
| ~ p(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X2,X1,X] :
( p(X2,X1,X)
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X1,X,X2] :
( p(X1,X,X2)
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,X1,X2] :
( p(X,X1,f(X2))
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,X1,X2] :
( p(g(X),X1,X2)
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p(a,f(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p(f(b),d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X3,X2,X1] :
( ! [X] :
( p(X,X3,X2)
| ~ p(X,X1,X2) )
| ~ p(X1,X3,X2) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( p(X0,X1,X2)
| ~ p(X0,X3,X2)
| ~ p(X3,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( p(X0,X1,X2)
| ~ p(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( p(X0,X1,X2)
| ~ p(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] :
( p(X0,X1,f(X2))
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] :
( p(g(X0),X1,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
p(a,f(b),c),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
p(f(b),d,c),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
~ p(f(g(a)),f(g(d)),f(g(c))),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ p(X0,X1,X2)
| ~ p(X1,X3,X2)
| p(X3,X0,X2) ),
inference(resolution,[status(thm)],[f10,f12]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(X1,X0,f(X2)) ),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(f(X2),X1,X0) ),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(X2,X1,g(X0)) ),
inference(resolution,[status(thm)],[f14,f11]) ).
fof(f57,plain,
~ p(f(g(c)),f(g(d)),g(a)),
inference(resolution,[status(thm)],[f45,f17]) ).
fof(f145,plain,
~ p(a,f(g(d)),f(g(c))),
inference(resolution,[status(thm)],[f47,f57]) ).
fof(f166,plain,
~ p(f(g(d)),a,g(c)),
inference(resolution,[status(thm)],[f145,f44]) ).
fof(f171,plain,
~ p(g(c),a,g(d)),
inference(resolution,[status(thm)],[f166,f45]) ).
fof(f176,plain,
~ p(c,a,g(d)),
inference(resolution,[status(thm)],[f171,f14]) ).
fof(f181,plain,
~ p(d,a,c),
inference(resolution,[status(thm)],[f176,f47]) ).
fof(f186,plain,
! [X0] :
( ~ p(a,X0,c)
| ~ p(X0,d,c) ),
inference(resolution,[status(thm)],[f181,f24]) ).
fof(f232,plain,
~ p(f(b),d,c),
inference(resolution,[status(thm)],[f186,f15]) ).
fof(f233,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f232,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:20:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.042741 seconds
% 0.12/0.38 % CPU time: 0.207784 seconds
% 0.12/0.38 % Memory used: 14.881 MB
%------------------------------------------------------------------------------