TSTP Solution File: SYN033-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN033-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 May 31 12:45:43 EDT 2023
% Result : Unsatisfiable 0.08s 0.30s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 38 (; 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : p(g(A,B),A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : p(A,h(A,B),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D,E,F] :
( ~ p(A,B,C)
| ~ p(D,E,B)
| ~ p(A,D,F)
| p(F,E,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [A] : ~ p(k(A),A,k(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1] : p(g(X0,X1),X0,X1),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1] : p(X0,h(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [C,E,F] :
( ! [A,D] :
( ! [B] :
( ~ p(A,B,C)
| ~ p(D,E,B) )
| ~ p(A,D,F) )
| p(F,E,C) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p(X0,X1,X2)
| ~ p(X3,X4,X1)
| ~ p(X0,X3,X5)
| p(X5,X4,X2) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,plain,
! [X0] : ~ p(k(X0),X0,k(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4] :
( ~ p(g(X0,X1),X2,X3)
| ~ p(X0,X4,X2)
| p(X1,X4,X3) ),
inference(resolution,[status(thm)],[f5,f8]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X0)
| p(X2,X1,X2) ),
inference(resolution,[status(thm)],[f12,f5]) ).
fof(f17,plain,
! [X0,X1] : p(X0,h(X1,X1),X0),
inference(resolution,[status(thm)],[f6,f14]) ).
fof(f21,plain,
$false,
inference(resolution,[status(thm)],[f17,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN033-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n010.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue May 30 10:14:22 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.29 % Drodi V3.5.1
% 0.08/0.30 % Refutation found
% 0.08/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.51 % Elapsed time: 0.010007 seconds
% 0.12/0.51 % CPU time: 0.021015 seconds
% 0.12/0.51 % Memory used: 6.128 MB
%------------------------------------------------------------------------------