TSTP Solution File: SYN557-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN557-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:52:31 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 23 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X3] : p2(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X10,X11] : p2(f3(X10,X11),f3(X11,X10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X4,X5,X3] :
( p2(X4,X5)
| ~ p2(X3,X4)
| ~ p2(X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(f3(X0,X2),f3(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X12,X13,X14] : p2(f3(X12,f3(X13,X14)),f3(X13,f3(X12,X14))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
~ p2(c6,f3(c8,f5(c9))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f17,plain,
! [X0,X1] : p2(f3(X0,X1),f3(X1,X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X5,X3] :
( ! [X4] :
( p2(X4,X5)
| ~ p2(X3,X4) )
| ~ p2(X3,X5) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( p2(X0,X1)
| ! [X2] : ~ p2(f3(X0,X2),f3(X1,X2)) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(f3(X0,X2),f3(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f27,plain,
! [X0,X1,X2] : p2(f3(X0,f3(X1,X2)),f3(X1,f3(X0,X2))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f33,plain,
! [X0] : ~ p2(f3(c6,X0),f3(f3(c8,f5(c9)),X0)),
inference(resolution,[status(thm)],[f24,f16]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p2(X0,f3(c6,X1))
| ~ p2(X0,f3(f3(c8,f5(c9)),X1)) ),
inference(resolution,[status(thm)],[f33,f20]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ p2(X0,f3(c6,X1))
| ~ p2(X2,X0)
| ~ p2(X2,f3(f3(c8,f5(c9)),X1)) ),
inference(resolution,[status(thm)],[f47,f20]) ).
fof(f408,plain,
! [X0,X1] :
( ~ p2(X0,f3(c6,X1))
| ~ p2(f3(X1,f3(c8,f5(c9))),X0) ),
inference(resolution,[status(thm)],[f105,f17]) ).
fof(f431,plain,
! [X0] : ~ p2(f3(c8,f3(X0,f5(c9))),f3(c6,X0)),
inference(resolution,[status(thm)],[f408,f27]) ).
fof(f447,plain,
! [X0,X1] :
( ~ p2(X0,f3(c8,f3(X1,f5(c9))))
| ~ p2(X0,f3(c6,X1)) ),
inference(resolution,[status(thm)],[f431,f20]) ).
fof(f479,plain,
! [X0] : ~ p2(f3(c6,X0),f3(c8,f3(X0,f5(c9)))),
inference(resolution,[status(thm)],[f447,f14]) ).
fof(f480,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f29,f479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SYN557-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n017.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 29 21:38:48 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.104959 seconds
% 0.14/0.40 % CPU time: 0.758774 seconds
% 0.14/0.40 % Total memory used: 45.657 MB
% 0.14/0.40 % Net memory used: 44.394 MB
%------------------------------------------------------------------------------