TSTP Solution File: LCL434-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL434-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 13:49:56 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_PropLog_Othms__I_0,plain,
! [A,B,C] : c_in(c_proplog_opl_oop_a_n_62(A,A,B),c_proplog_othms(C,B),tc_proplog_opl(B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),
[] ).
cnf(146402896,plain,
c_in(c_proplog_opl_oop_a_n_62(A,A,B),c_proplog_othms(C,B),tc_proplog_opl(B)),
inference(rewrite,[status(thm)],[cls_PropLog_Othms__I_0]),
[] ).
fof(cls_Set_OinsertE_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_insert(B,C,D),D)
| c_in(A,C,D)
| $equal(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),
[] ).
cnf(146444720,plain,
( ~ c_in(A,c_insert(B,C,D),D)
| c_in(A,C,D)
| $equal(B,A) ),
inference(rewrite,[status(thm)],[cls_Set_OinsertE_0]),
[] ).
fof(cls_conjecture_0,plain,
c_in(v_pa,c_insert(v_p,v_h,tc_proplog_opl(t_a)),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),
[] ).
cnf(146383616,plain,
c_in(v_pa,c_insert(v_p,v_h,tc_proplog_opl(t_a)),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(156891480,plain,
( c_in(v_pa,v_h,tc_proplog_opl(t_a))
| $equal(v_p,v_pa) ),
inference(resolution,[status(thm)],[146444720,146383616]),
[] ).
fof(cls_conjecture_1,plain,
~ c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),
[] ).
cnf(146388656,plain,
~ c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(157197680,plain,
c_in(v_pa,v_h,tc_proplog_opl(t_a)),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[146402896,156891480,146388656,theory(equality)]),
[] ).
fof(cls_PropLog_Othms_OH_0,plain,
! [A,B,C] :
( ~ c_in(A,B,tc_proplog_opl(C))
| c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),
[] ).
cnf(146394408,plain,
( ~ c_in(A,B,tc_proplog_opl(C))
| c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Othms_OH_0]),
[] ).
cnf(157206448,plain,
c_in(v_pa,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[157197680,146394408]),
[] ).
fof(cls_PropLog_Oweaken__right_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(c_proplog_opl_oop_a_n_62(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),
[] ).
cnf(146426008,plain,
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(c_proplog_opl_oop_a_n_62(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__right_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[157206448,146426008,146388656]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_PropLog_Othms__I_0,plain,(c_in(c_proplog_opl_oop_a_n_62(A,A,B),c_proplog_othms(C,B),tc_proplog_opl(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),[]).
%
% cnf(146402896,plain,(c_in(c_proplog_opl_oop_a_n_62(A,A,B),c_proplog_othms(C,B),tc_proplog_opl(B))),inference(rewrite,[status(thm)],[cls_PropLog_Othms__I_0]),[]).
%
% fof(cls_Set_OinsertE_0,plain,(~c_in(A,c_insert(B,C,D),D)|c_in(A,C,D)|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),[]).
%
% cnf(146444720,plain,(~c_in(A,c_insert(B,C,D),D)|c_in(A,C,D)|$equal(B,A)),inference(rewrite,[status(thm)],[cls_Set_OinsertE_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_pa,c_insert(v_p,v_h,tc_proplog_opl(t_a)),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),[]).
%
% cnf(146383616,plain,(c_in(v_pa,c_insert(v_p,v_h,tc_proplog_opl(t_a)),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(156891480,plain,(c_in(v_pa,v_h,tc_proplog_opl(t_a))|$equal(v_p,v_pa)),inference(resolution,[status(thm)],[146444720,146383616]),[]).
%
% fof(cls_conjecture_1,plain,(~c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),[]).
%
% cnf(146388656,plain,(~c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(157197680,plain,(c_in(v_pa,v_h,tc_proplog_opl(t_a))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[146402896,156891480,146388656,theory(equality)]),[]).
%
% fof(cls_PropLog_Othms_OH_0,plain,(~c_in(A,B,tc_proplog_opl(C))|c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),[]).
%
% cnf(146394408,plain,(~c_in(A,B,tc_proplog_opl(C))|c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Othms_OH_0]),[]).
%
% cnf(157206448,plain,(c_in(v_pa,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[157197680,146394408]),[]).
%
% fof(cls_PropLog_Oweaken__right_0,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(c_proplog_opl_oop_a_n_62(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL434-2.tptp',unknown),[]).
%
% cnf(146426008,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(c_proplog_opl_oop_a_n_62(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__right_0]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[157206448,146426008,146388656]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------