TSTP Solution File: SWV253-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV253-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 16:28:44 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,plain,
! [A] : $equal(c_message_oinvkey(c_message_oinvkey(A)),A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV253-2.tptp',unknown),
[] ).
cnf(157554112,plain,
$equal(c_message_oinvkey(c_message_oinvkey(A)),A),
inference(rewrite,[status(thm)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0]),
[] ).
fof(cls_conjecture_1,plain,
( $equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k))
| $equal(v_k_h,v_k) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV253-2.tptp',unknown),
[] ).
cnf(157550272,plain,
( $equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k))
| $equal(v_k_h,v_k) ),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_conjecture_0,plain,
( ~ $equal(v_k_h,v_k)
| ~ $equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV253-2.tptp',unknown),
[] ).
cnf(157543720,plain,
( ~ $equal(v_k_h,v_k)
| ~ $equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k)) ),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(167929376,plain,
$equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k)),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[157550272,157543720,157550272,theory(equality)]),
[] ).
cnf(167948680,plain,
$equal(c_message_oinvkey(c_message_oinvkey(v_k_h)),v_k),
inference(paramodulation,[status(thm)],[167929376,157554112,theory(equality)]),
[] ).
cnf(168001472,plain,
$equal(c_message_oinvkey(v_k_h),c_message_oinvkey(c_message_oinvkey(c_message_oinvkey(v_k_h)))),
inference(paramodulation,[status(thm)],[167948680,167929376,theory(equality)]),
[] ).
cnf(168046464,plain,
$equal(c_message_oinvkey(c_message_oinvkey(c_message_oinvkey(c_message_oinvkey(v_k_h)))),v_k_h),
inference(paramodulation,[status(thm)],[168001472,157554112,theory(equality)]),
[] ).
cnf(167934560,plain,
~ $equal(v_k_h,v_k),
inference(resolution,[status(thm)],[167929376,157543720]),
[] ).
cnf(167969304,plain,
~ $equal(v_k_h,c_message_oinvkey(c_message_oinvkey(v_k_h))),
inference(paramodulation,[status(thm)],[167948680,167934560,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[157554112,168046464,167969304,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,plain,($equal(c_message_oinvkey(c_message_oinvkey(A)),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV253-2.tptp',unknown),[]).
%
% cnf(157554112,plain,($equal(c_message_oinvkey(c_message_oinvkey(A)),A)),inference(rewrite,[status(thm)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0]),[]).
%
% fof(cls_conjecture_1,plain,($equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k))|$equal(v_k_h,v_k)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV253-2.tptp',unknown),[]).
%
% cnf(157550272,plain,($equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k))|$equal(v_k_h,v_k)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_conjecture_0,plain,(~$equal(v_k_h,v_k)|~$equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV253-2.tptp',unknown),[]).
%
% cnf(157543720,plain,(~$equal(v_k_h,v_k)|~$equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(167929376,plain,($equal(c_message_oinvkey(v_k_h),c_message_oinvkey(v_k))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[157550272,157543720,157550272,theory(equality)]),[]).
%
% cnf(167948680,plain,($equal(c_message_oinvkey(c_message_oinvkey(v_k_h)),v_k)),inference(paramodulation,[status(thm)],[167929376,157554112,theory(equality)]),[]).
%
% cnf(168001472,plain,($equal(c_message_oinvkey(v_k_h),c_message_oinvkey(c_message_oinvkey(c_message_oinvkey(v_k_h))))),inference(paramodulation,[status(thm)],[167948680,167929376,theory(equality)]),[]).
%
% cnf(168046464,plain,($equal(c_message_oinvkey(c_message_oinvkey(c_message_oinvkey(c_message_oinvkey(v_k_h)))),v_k_h)),inference(paramodulation,[status(thm)],[168001472,157554112,theory(equality)]),[]).
%
% cnf(167934560,plain,(~$equal(v_k_h,v_k)),inference(resolution,[status(thm)],[167929376,157543720]),[]).
%
% cnf(167969304,plain,(~$equal(v_k_h,c_message_oinvkey(c_message_oinvkey(v_k_h)))),inference(paramodulation,[status(thm)],[167948680,167934560,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[157554112,168046464,167969304,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------