TSTP Solution File: SYN312-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n002.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 : Tue Apr 30 20:51:50 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 36 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 64 ( 64 !; 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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X2,X1,X] :
( p(X2,X1,X)
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X1,X,X2] :
( p(X1,X,X2)
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,X1,X2] :
( p(X,X1,f(X2))
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,X1,X2] :
( p(g(X),X1,X2)
| ~ p(X,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p(a,f(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p(f(b),d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))),
file('/export/starexec/sandbox/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(f46,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(X1,g(X0),X2) ),
inference(resolution,[status(thm)],[f14,f12]) ).
fof(f48,plain,
~ p(f(g(a)),f(g(d)),g(c)),
inference(resolution,[status(thm)],[f17,f13]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(f(X2),X0,X1) ),
inference(resolution,[status(thm)],[f44,f11]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(X2,g(X0),X1) ),
inference(resolution,[status(thm)],[f46,f11]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(g(X0),X2,X1) ),
inference(resolution,[status(thm)],[f57,f12]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ p(X0,X1,X2)
| ~ p(X1,X3,X2)
| p(X2,X0,X3) ),
inference(resolution,[status(thm)],[f24,f11]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ p(X0,X1,X2)
| ~ p(X1,X3,X2)
| p(X0,X2,X3) ),
inference(resolution,[status(thm)],[f77,f12]) ).
fof(f90,plain,
~ p(f(g(d)),g(c),g(a)),
inference(resolution,[status(thm)],[f48,f52]) ).
fof(f128,plain,
~ p(g(c),g(a),g(d)),
inference(resolution,[status(thm)],[f90,f52]) ).
fof(f140,plain,
~ p(c,g(d),g(a)),
inference(resolution,[status(thm)],[f128,f66]) ).
fof(f152,plain,
~ p(d,g(a),c),
inference(resolution,[status(thm)],[f140,f57]) ).
fof(f162,plain,
~ p(a,c,d),
inference(resolution,[status(thm)],[f152,f57]) ).
fof(f170,plain,
! [X0] :
( ~ p(a,X0,c)
| ~ p(X0,d,c) ),
inference(resolution,[status(thm)],[f162,f82]) ).
fof(f538,plain,
~ p(f(b),d,c),
inference(resolution,[status(thm)],[f170,f15]) ).
fof(f539,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f538,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
% 0.13/0.34 % Computer : n002.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 Apr 29 22:11:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40 % Elapsed time: 0.057604 seconds
% 0.20/0.40 % CPU time: 0.353614 seconds
% 0.20/0.40 % Total memory used: 43.551 MB
% 0.20/0.40 % Net memory used: 39.594 MB
%------------------------------------------------------------------------------