TSTP Solution File: COL110-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL110-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:34:49 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 24 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 24 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_3,plain,
c_in(c_pair(v_z,v_wa,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162188224,plain,
c_in(c_pair(v_z,v_wa,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
fof(cls_Comb_Oparcontract_Ointros__4_0,plain,
! [A,B,C,D] :
( ~ c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(C,D,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| c_in(c_pair(c_comb_ocomb_oop_a_d_d(C,A),c_comb_ocomb_oop_a_d_d(D,B),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162262904,plain,
( ~ c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(C,D,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| c_in(c_pair(c_comb_ocomb_oop_a_d_d(C,A),c_comb_ocomb_oop_a_d_d(D,B),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0]),
[] ).
fof(cls_conjecture_5,plain,
! [A] :
( c_in(c_pair(v_ya,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162205136,plain,
( c_in(c_pair(v_ya,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
fof(cls_conjecture_2,plain,
c_in(c_pair(v_x,v_yb,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162183880,plain,
c_in(c_pair(v_x,v_yb,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(185870448,plain,
c_in(c_pair(v_ya,v_xb(v_yb),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(resolution,[status(thm)],[162205136,162183880]),
[] ).
cnf(186313344,plain,
( ~ c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,A),c_comb_ocomb_oop_a_d_d(v_xb(v_yb),B),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(resolution,[status(thm)],[162262904,185870448]),
[] ).
fof(cls_conjecture_7,plain,
! [A] :
( c_in(c_pair(v_w,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162220840,plain,
( c_in(c_pair(v_w,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_conjecture_7]),
[] ).
cnf(203441024,plain,
( c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),c_comb_ocomb_oop_a_d_d(v_xb(v_yb),v_xaa(A)),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(resolution,[status(thm)],[186313344,162220840]),
[] ).
fof(cls_conjecture_8,plain,
! [A] :
( c_in(c_pair(A,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162226872,plain,
( c_in(c_pair(A,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_conjecture_8]),
[] ).
fof(cls_conjecture_6,plain,
! [A] :
( c_in(c_pair(A,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162215416,plain,
( c_in(c_pair(A,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
fof(cls_conjecture_4,plain,
! [A] :
( ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_yb,v_wa),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),
[] ).
cnf(162194872,plain,
( ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_yb,v_wa),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(187811904,plain,
( ~ c_in(c_pair(v_wa,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(v_yb,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),c_comb_ocomb_oop_a_d_d(B,A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(resolution,[status(thm)],[162262904,162194872]),
[] ).
cnf(205292320,plain,
( ~ c_in(c_pair(v_wa,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),c_comb_ocomb_oop_a_d_d(v_xb(v_yb),A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162183880,162215416,187811904]),
[] ).
cnf(205618840,plain,
~ c_in(c_pair(v_z,v_wa,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203441024,162226872,205292320]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[162188224,205618840]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_3,plain,(c_in(c_pair(v_z,v_wa,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162188224,plain,(c_in(c_pair(v_z,v_wa,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% fof(cls_Comb_Oparcontract_Ointros__4_0,plain,(~c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(C,D,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|c_in(c_pair(c_comb_ocomb_oop_a_d_d(C,A),c_comb_ocomb_oop_a_d_d(D,B),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162262904,plain,(~c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(C,D,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|c_in(c_pair(c_comb_ocomb_oop_a_d_d(C,A),c_comb_ocomb_oop_a_d_d(D,B),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0]),[]).
%
% fof(cls_conjecture_5,plain,(c_in(c_pair(v_ya,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162205136,plain,(c_in(c_pair(v_ya,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(c_pair(v_x,v_yb,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162183880,plain,(c_in(c_pair(v_x,v_yb,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(185870448,plain,(c_in(c_pair(v_ya,v_xb(v_yb),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(resolution,[status(thm)],[162205136,162183880]),[]).
%
% cnf(186313344,plain,(~c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,A),c_comb_ocomb_oop_a_d_d(v_xb(v_yb),B),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(resolution,[status(thm)],[162262904,185870448]),[]).
%
% fof(cls_conjecture_7,plain,(c_in(c_pair(v_w,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162220840,plain,(c_in(c_pair(v_w,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_7]),[]).
%
% cnf(203441024,plain,(c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),c_comb_ocomb_oop_a_d_d(v_xb(v_yb),v_xaa(A)),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(resolution,[status(thm)],[186313344,162220840]),[]).
%
% fof(cls_conjecture_8,plain,(c_in(c_pair(A,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162226872,plain,(c_in(c_pair(A,v_xaa(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_z,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_8]),[]).
%
% fof(cls_conjecture_6,plain,(c_in(c_pair(A,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162215416,plain,(c_in(c_pair(A,v_xb(A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_x,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% fof(cls_conjecture_4,plain,(~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_yb,v_wa),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL110-2.tptp',unknown),[]).
%
% cnf(162194872,plain,(~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_yb,v_wa),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(187811904,plain,(~c_in(c_pair(v_wa,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(v_yb,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),c_comb_ocomb_oop_a_d_d(B,A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(resolution,[status(thm)],[162262904,162194872]),[]).
%
% cnf(205292320,plain,(~c_in(c_pair(v_wa,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_ya,v_w),c_comb_ocomb_oop_a_d_d(v_xb(v_yb),A),tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(forward_subsumption_resolution__resolution,[status(thm)],[162183880,162215416,187811904]),[]).
%
% cnf(205618840,plain,(~c_in(c_pair(v_z,v_wa,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(forward_subsumption_resolution__resolution,[status(thm)],[203441024,162226872,205292320]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162188224,205618840]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------