TSTP Solution File: LAT276-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT276-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 13:37:02 EDT 2009
% Result : Unsatisfiable 3.9s
% Output : Refutation 3.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 87 ( 40 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B] :
( ~ c_in(A,B,t_a)
| ~ c_lessequals(B,v_a,tc_set(t_a))
| c_in(c_pair(A,c_tarski_olub(B,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166708648,plain,
( ~ c_in(A,B,t_a)
| ~ c_lessequals(B,v_a,tc_set(t_a))
| c_in(c_pair(A,c_tarski_olub(B,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
fof(cls_conjecture_0,plain,
c_lessequals(v_s,v_a,tc_set(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166575800,plain,
c_lessequals(v_s,v_a,tc_set(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(187767480,plain,
( ~ c_in(A,v_s,t_a)
| c_in(c_pair(A,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[166708648,166575800]),
[] ).
fof(cls_Tarski_Or_A_61_61_Aorder_Acl_0,plain,
$equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166712600,plain,
$equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r),
inference(rewrite,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]),
[] ).
cnf(189543520,plain,
( ~ c_in(A,v_s,t_a)
| c_in(c_pair(A,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a)) ),
inference(paramodulation,[status(thm)],[187767480,166712600,theory(equality)]),
[] ).
fof(cls_conjecture_4,plain,
( ~ c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_s,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166602208,plain,
( ~ c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_s,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(188288136,plain,
( ~ c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_s,t_a) ),
inference(paramodulation,[status(thm)],[166602208,166712600,theory(equality)]),
[] ).
cnf(190097384,plain,
( c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| ~ c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[189543520,188288136]),
[] ).
fof(cls_conjecture_6,plain,
( ~ c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166611888,plain,
( ~ c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a)) ),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(204544600,plain,
~ c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[190097384,166611888,166712600,theory(equality)]),
[] ).
fof(cls_Set_OsubsetD_0,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166632856,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),
[] ).
cnf(187747920,plain,
( ~ c_in(A,v_s,t_a)
| c_in(A,v_a,t_a) ),
inference(resolution,[status(thm)],[166632856,166575800]),
[] ).
fof(cls_conjecture_3,plain,
( c_in(v_xa,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a)
| c_in(v_xa,v_s,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166594928,plain,
( c_in(v_xa,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a)
| c_in(v_xa,v_s,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(187911256,plain,
( c_in(v_xa,v_a,t_a)
| c_in(v_xa,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a) ),
inference(resolution,[status(thm)],[187747920,166594928]),
[] ).
fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,plain,
$equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166642080,plain,
$equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a),
inference(rewrite,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]),
[] ).
cnf(187982336,plain,
c_in(v_xa,v_a,t_a),
inference(paramodulation,[status(thm)],[187911256,166642080,theory(equality)]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,plain,
! [A,B] :
( ~ c_in(A,v_a,t_a)
| ~ c_in(c_pair(v_sko__4mp(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,v_a,tc_set(t_a))
| c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166697104,plain,
( ~ c_in(A,v_a,t_a)
| ~ c_in(c_pair(v_sko__4mp(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,v_a,tc_set(t_a))
| c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1]),
[] ).
fof(cls_conjecture_9,plain,
! [A] :
( c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| ~ c_in(A,v_s,t_a)
| c_in(v_xa,v_s,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166616632,plain,
( c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| ~ c_in(A,v_s,t_a)
| c_in(v_xa,v_s,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_9]),
[] ).
cnf(188508808,plain,
( c_in(c_pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(A,v_s,t_a)
| c_in(v_xa,v_s,t_a) ),
inference(paramodulation,[status(thm)],[166616632,166712600,theory(equality)]),
[] ).
cnf(190140968,plain,
( c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| c_in(c_pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(A,v_s,t_a) ),
inference(resolution,[status(thm)],[189543520,188508808]),
[] ).
fof(cls_conjecture_10,plain,
! [A] :
( c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| ~ c_in(A,v_s,t_a)
| ~ c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166584832,plain,
( c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))
| ~ c_in(A,v_s,t_a)
| ~ c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a)) ),
inference(rewrite,[status(thm)],[cls_conjecture_10]),
[] ).
cnf(206198632,plain,
( c_in(c_pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(A,v_s,t_a) ),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[190140968,166584832,166712600,theory(equality)]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B] :
( ~ c_in(A,v_a,t_a)
| ~ c_lessequals(B,v_a,tc_set(t_a))
| c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mp(A,B,v_r),B,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),
[] ).
cnf(166683824,plain,
( ~ c_in(A,v_a,t_a)
| ~ c_lessequals(B,v_a,tc_set(t_a))
| c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mp(A,B,v_r),B,t_a) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
cnf(187802920,plain,
( ~ c_in(A,v_a,t_a)
| c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mp(A,v_s,v_r),v_s,t_a) ),
inference(resolution,[status(thm)],[166683824,166575800]),
[] ).
cnf(204600832,plain,
c_in(v_sko__4mp(v_xa,v_s,v_r),v_s,t_a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[187982336,204544600,187802920]),
[] ).
cnf(206410120,plain,
c_in(c_pair(v_sko__4mp(v_xa,v_s,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[206198632,204600832]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[204544600,187982336,166575800,166697104,206410120]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_in(A,B,t_a)|~c_lessequals(B,v_a,tc_set(t_a))|c_in(c_pair(A,c_tarski_olub(B,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166708648,plain,(~c_in(A,B,t_a)|~c_lessequals(B,v_a,tc_set(t_a))|c_in(c_pair(A,c_tarski_olub(B,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_lessequals(v_s,v_a,tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166575800,plain,(c_lessequals(v_s,v_a,tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(187767480,plain,(~c_in(A,v_s,t_a)|c_in(c_pair(A,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[166708648,166575800]),[]).
%
% fof(cls_Tarski_Or_A_61_61_Aorder_Acl_0,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166712600,plain,($equal(c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),v_r)),inference(rewrite,[status(thm)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]),[]).
%
% cnf(189543520,plain,(~c_in(A,v_s,t_a)|c_in(c_pair(A,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))),inference(paramodulation,[status(thm)],[187767480,166712600,theory(equality)]),[]).
%
% fof(cls_conjecture_4,plain,(~c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|c_in(v_xa,v_s,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166602208,plain,(~c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|c_in(v_xa,v_s,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(188288136,plain,(~c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_xa,v_s,t_a)),inference(paramodulation,[status(thm)],[166602208,166712600,theory(equality)]),[]).
%
% cnf(190097384,plain,(c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|~c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[189543520,188288136]),[]).
%
% fof(cls_conjecture_6,plain,(~c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|~c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166611888,plain,(~c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|~c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(204544600,plain,(~c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[190097384,166611888,166712600,theory(equality)]),[]).
%
% fof(cls_Set_OsubsetD_0,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166632856,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),[]).
%
% cnf(187747920,plain,(~c_in(A,v_s,t_a)|c_in(A,v_a,t_a)),inference(resolution,[status(thm)],[166632856,166575800]),[]).
%
% fof(cls_conjecture_3,plain,(c_in(v_xa,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a)|c_in(v_xa,v_s,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166594928,plain,(c_in(v_xa,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a)|c_in(v_xa,v_s,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(187911256,plain,(c_in(v_xa,v_a,t_a)|c_in(v_xa,c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a)),inference(resolution,[status(thm)],[187747920,166594928]),[]).
%
% fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166642080,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),inference(rewrite,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]),[]).
%
% cnf(187982336,plain,(c_in(v_xa,v_a,t_a)),inference(paramodulation,[status(thm)],[187911256,166642080,theory(equality)]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,plain,(~c_in(A,v_a,t_a)|~c_in(c_pair(v_sko__4mp(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,v_a,tc_set(t_a))|c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166697104,plain,(~c_in(A,v_a,t_a)|~c_in(c_pair(v_sko__4mp(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,v_a,tc_set(t_a))|c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1]),[]).
%
% fof(cls_conjecture_9,plain,(c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|~c_in(A,v_s,t_a)|c_in(v_xa,v_s,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166616632,plain,(c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|~c_in(A,v_s,t_a)|c_in(v_xa,v_s,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_9]),[]).
%
% cnf(188508808,plain,(c_in(c_pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(A,v_s,t_a)|c_in(v_xa,v_s,t_a)),inference(paramodulation,[status(thm)],[166616632,166712600,theory(equality)]),[]).
%
% cnf(190140968,plain,(c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|c_in(c_pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(A,v_s,t_a)),inference(resolution,[status(thm)],[189543520,188508808]),[]).
%
% fof(cls_conjecture_10,plain,(c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|~c_in(A,v_s,t_a)|~c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166584832,plain,(c_in(c_pair(A,v_xa,t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))|~c_in(A,v_s,t_a)|~c_in(c_pair(v_xa,c_tarski_olub(v_s,v_cl,t_a),t_a,t_a),c_tarski_opotype_oorder(v_cl,t_a,tc_product__type_ounit),tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_conjecture_10]),[]).
%
% cnf(206198632,plain,(c_in(c_pair(A,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(A,v_s,t_a)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[190140968,166584832,166712600,theory(equality)]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_in(A,v_a,t_a)|~c_lessequals(B,v_a,tc_set(t_a))|c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mp(A,B,v_r),B,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT276-2.tptp',unknown),[]).
%
% cnf(166683824,plain,(~c_in(A,v_a,t_a)|~c_lessequals(B,v_a,tc_set(t_a))|c_in(c_pair(c_tarski_olub(B,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mp(A,B,v_r),B,t_a)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% cnf(187802920,plain,(~c_in(A,v_a,t_a)|c_in(c_pair(c_tarski_olub(v_s,v_cl,t_a),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mp(A,v_s,v_r),v_s,t_a)),inference(resolution,[status(thm)],[166683824,166575800]),[]).
%
% cnf(204600832,plain,(c_in(v_sko__4mp(v_xa,v_s,v_r),v_s,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[187982336,204544600,187802920]),[]).
%
% cnf(206410120,plain,(c_in(c_pair(v_sko__4mp(v_xa,v_s,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[206198632,204600832]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[204544600,187982336,166575800,166697104,206410120]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------