TSTP Solution File: LAT274-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LAT274-2 : 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 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:36:55 EDT 2009
% Result : Unsatisfiable 0.8s
% Output : Refutation 0.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 166 ( 71 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-4 aty)
% Number of variables : 108 ( 7 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1,plain,
! [A,B,C] :
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| ~ c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173876560,plain,
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| ~ c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1]),
[] ).
fof(cls_conjecture_1,plain,
c_in(v_b,v_a,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173660056,plain,
c_in(v_b,v_a,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(192499064,plain,
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(c_pair(v_sko__4mi(A,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(B,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[173876560,173660056]),
[] ).
fof(cls_conjecture_4,plain,
c_tarski_oislub(v_s,v_cl,v_l,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173904848,plain,
c_tarski_oislub(v_s,v_cl,v_l,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(192620224,plain,
( ~ c_in(c_pair(v_sko__4mi(v_s,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[192499064,173904848]),
[] ).
fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B,C] :
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(A,v_r,C),A,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173849400,plain,
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,v_a,t_a)
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(A,v_r,C),A,t_a) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
cnf(192467520,plain,
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| c_in(c_pair(B,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(A,v_r,v_b),A,t_a) ),
inference(resolution,[status(thm)],[173849400,173660056]),
[] ).
cnf(192589488,plain,
( c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_s,v_r,v_b),v_s,t_a) ),
inference(resolution,[status(thm)],[192467520,173904848]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B,C,D,E,F] :
( ~ c_in(A,B,C)
| ~ c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))
| c_in(c_pair(A,F,C,C),D,tc_prod(C,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173785736,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))
| c_in(c_pair(A,F,C,C),D,tc_prod(C,C)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
fof(cls_conjecture_2,plain,
c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173890456,plain,
c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(192996432,plain,
( ~ c_in(A,v_s,t_a)
| c_in(c_pair(A,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[173785736,173890456]),
[] ).
cnf(193670672,plain,
( c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(v_sko__4mi(v_s,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[192589488,192996432]),
[] ).
cnf(203177888,plain,
c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[192620224,193670672]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B,C,D] :
( ~ c_lessequals(A,B,tc_set(t_a))
| c_in(c_pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(A,C,v_r),A,t_a)
| c_in(v_sko__4mk(D,A,v_r),A,t_a)
| $equal(c_emptyset,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173702304,plain,
( ~ c_lessequals(A,B,tc_set(t_a))
| c_in(c_pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(A,C,v_r),A,t_a)
| c_in(v_sko__4mk(D,A,v_r),A,t_a)
| $equal(c_emptyset,A) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
fof(cls_conjecture_3,plain,
~ $equal(c_emptyset,v_s),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173899680,plain,
~ $equal(c_emptyset,v_s),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(192548224,plain,
( ~ c_lessequals(v_s,A,tc_set(t_a))
| c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_s,B,v_r),v_s,t_a)
| c_in(v_sko__4mk(C,v_s,v_r),v_s,t_a) ),
inference(resolution,[status(thm)],[173702304,173899680]),
[] ).
cnf(192634744,plain,
( c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_s,A,v_r),v_s,t_a)
| c_in(v_sko__4mk(B,v_s,v_r),v_s,t_a) ),
inference(resolution,[status(thm)],[192548224,173890456]),
[] ).
fof(cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0,plain,
! [A,B,C,D,E] :
( ~ c_in(c_pair(A,B,C,C),D,tc_prod(C,C))
| ~ c_in(c_pair(E,A,C,C),D,tc_prod(C,C))
| c_in(A,c_tarski_ointerval(D,E,B,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173797464,plain,
( ~ c_in(c_pair(A,B,C,C),D,tc_prod(C,C))
| ~ c_in(c_pair(E,A,C,C),D,tc_prod(C,C))
| c_in(A,c_tarski_ointerval(D,E,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0]),
[] ).
fof(cls_conjecture_6,plain,
~ c_in(v_l,c_tarski_ointerval(v_r,v_a,v_b,t_a),t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173909264,plain,
~ c_in(v_l,c_tarski_ointerval(v_r,v_a,v_b,t_a),t_a),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(194245704,plain,
( ~ c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_a,v_l,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[173797464,173909264]),
[] ).
cnf(206372472,plain,
( c_in(v_sko__4mj(v_s,v_a,v_r),v_s,t_a)
| c_in(v_sko__4mk(v_l,v_s,v_r),v_s,t_a) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,192634744,194245704]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B,C,D,E,F] :
( ~ c_in(A,B,C)
| ~ c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))
| c_in(c_pair(E,A,C,C),D,tc_prod(C,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173776416,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))
| c_in(c_pair(E,A,C,C),D,tc_prod(C,C)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
cnf(192709368,plain,
( ~ c_in(A,v_s,t_a)
| c_in(c_pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[173776416,173890456]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2,plain,
! [A,B,C,D] :
( ~ c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,C,tc_set(t_a))
| c_in(c_pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(D,B,v_r),B,t_a)
| $equal(c_emptyset,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173734712,plain,
( ~ c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,C,tc_set(t_a))
| c_in(c_pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(D,B,v_r),B,t_a)
| $equal(c_emptyset,B) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2]),
[] ).
cnf(201736920,plain,
( ~ c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(B,v_s,v_r),v_s,t_a)
| $equal(c_emptyset,v_s) ),
inference(resolution,[status(thm)],[173734712,173890456]),
[] ).
cnf(201755176,plain,
( ~ c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(B,v_s,v_r),v_s,t_a) ),
inference(resolution,[status(thm)],[201736920,173899680]),
[] ).
cnf(206626096,plain,
( ~ c_in(c_pair(v_a,v_sko__4mj(v_s,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(v_l,v_s,v_r),v_s,t_a) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,201755176,194245704]),
[] ).
fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,plain,
! [A,B,C] :
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,A,t_a)
| c_in(c_pair(C,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173814176,plain,
( ~ c_tarski_oislub(A,v_cl,B,t_a)
| ~ c_in(C,A,t_a)
| c_in(c_pair(C,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0]),
[] ).
cnf(192674208,plain,
( ~ c_in(A,v_s,t_a)
| c_in(c_pair(A,v_l,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[173814176,173904848]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3,plain,
! [A,B,C,D] :
( ~ c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,D,tc_set(t_a))
| c_in(c_pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| $equal(c_emptyset,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173748760,plain,
( ~ c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,D,tc_set(t_a))
| c_in(c_pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a))
| $equal(c_emptyset,B) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3]),
[] ).
cnf(201743736,plain,
( ~ c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_sko__4mk(B,v_s,v_r),B,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))
| $equal(c_emptyset,v_s) ),
inference(resolution,[status(thm)],[173748760,173890456]),
[] ).
cnf(201764248,plain,
( ~ c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_sko__4mk(B,v_s,v_r),B,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[201743736,173899680]),
[] ).
cnf(206605360,plain,
( ~ c_in(c_pair(v_a,v_sko__4mj(v_s,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_pair(v_sko__4mk(v_l,v_s,v_r),v_l,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,201764248,194245704]),
[] ).
cnf(208437088,plain,
~ c_in(c_pair(v_a,v_sko__4mj(v_s,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[206626096,192674208,206605360]),
[] ).
cnf(208520424,plain,
~ c_in(v_sko__4mj(v_s,v_a,v_r),v_s,t_a),
inference(resolution,[status(thm)],[192709368,208437088]),
[] ).
cnf(208936944,plain,
c_in(v_sko__4mk(v_l,v_s,v_r),v_s,t_a),
inference(resolution,[status(thm)],[206372472,208520424]),
[] ).
fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,plain,
! [A,B,C,D] :
( ~ c_in(c_pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,C,tc_set(t_a))
| c_in(c_pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(B,D,v_r),B,t_a)
| $equal(c_emptyset,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),
[] ).
cnf(173723368,plain,
( ~ c_in(c_pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(B,C,tc_set(t_a))
| c_in(c_pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(B,D,v_r),B,t_a)
| $equal(c_emptyset,B) ),
inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1]),
[] ).
cnf(201723520,plain,
( ~ c_in(c_pair(v_sko__4mk(A,v_s,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_s,B,v_r),v_s,t_a)
| $equal(c_emptyset,v_s) ),
inference(resolution,[status(thm)],[173723368,173890456]),
[] ).
cnf(201749552,plain,
( ~ c_in(c_pair(v_sko__4mk(A,v_s,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_s,B,v_r),v_s,t_a) ),
inference(resolution,[status(thm)],[201723520,173899680]),
[] ).
cnf(206595040,plain,
( ~ c_in(c_pair(v_sko__4mk(v_l,v_s,v_r),v_l,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_s,v_a,v_r),v_s,t_a) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,201749552,194245704]),
[] ).
cnf(208465000,plain,
~ c_in(c_pair(v_sko__4mk(v_l,v_s,v_r),v_l,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[206595040,192709368,206605360]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[208936944,192674208,208465000]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|~c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173876560,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|~c_in(c_pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(v_b,v_a,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173660056,plain,(c_in(v_b,v_a,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(192499064,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(c_pair(v_sko__4mi(A,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(B,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[173876560,173660056]),[]).
%
% fof(cls_conjecture_4,plain,(c_tarski_oislub(v_s,v_cl,v_l,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173904848,plain,(c_tarski_oislub(v_s,v_cl,v_l,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(192620224,plain,(~c_in(c_pair(v_sko__4mi(v_s,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[192499064,173904848]),[]).
%
% fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(A,v_r,C),A,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173849400,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,v_a,t_a)|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(A,v_r,C),A,t_a)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% cnf(192467520,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|c_in(c_pair(B,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(A,v_r,v_b),A,t_a)),inference(resolution,[status(thm)],[173849400,173660056]),[]).
%
% cnf(192589488,plain,(c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(v_s,v_r,v_b),v_s,t_a)),inference(resolution,[status(thm)],[192467520,173904848]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_in(A,B,C)|~c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))|c_in(c_pair(A,F,C,C),D,tc_prod(C,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173785736,plain,(~c_in(A,B,C)|~c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))|c_in(c_pair(A,F,C,C),D,tc_prod(C,C))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% fof(cls_conjecture_2,plain,(c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173890456,plain,(c_lessequals(v_s,c_tarski_ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(192996432,plain,(~c_in(A,v_s,t_a)|c_in(c_pair(A,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[173785736,173890456]),[]).
%
% cnf(193670672,plain,(c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(v_sko__4mi(v_s,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[192589488,192996432]),[]).
%
% cnf(203177888,plain,(c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[192620224,193670672]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_lessequals(A,B,tc_set(t_a))|c_in(c_pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(A,C,v_r),A,t_a)|c_in(v_sko__4mk(D,A,v_r),A,t_a)|$equal(c_emptyset,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173702304,plain,(~c_lessequals(A,B,tc_set(t_a))|c_in(c_pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(A,C,v_r),A,t_a)|c_in(v_sko__4mk(D,A,v_r),A,t_a)|$equal(c_emptyset,A)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% fof(cls_conjecture_3,plain,(~$equal(c_emptyset,v_s)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173899680,plain,(~$equal(c_emptyset,v_s)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(192548224,plain,(~c_lessequals(v_s,A,tc_set(t_a))|c_in(c_pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_s,B,v_r),v_s,t_a)|c_in(v_sko__4mk(C,v_s,v_r),v_s,t_a)),inference(resolution,[status(thm)],[173702304,173899680]),[]).
%
% cnf(192634744,plain,(c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_s,A,v_r),v_s,t_a)|c_in(v_sko__4mk(B,v_s,v_r),v_s,t_a)),inference(resolution,[status(thm)],[192548224,173890456]),[]).
%
% fof(cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0,plain,(~c_in(c_pair(A,B,C,C),D,tc_prod(C,C))|~c_in(c_pair(E,A,C,C),D,tc_prod(C,C))|c_in(A,c_tarski_ointerval(D,E,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173797464,plain,(~c_in(c_pair(A,B,C,C),D,tc_prod(C,C))|~c_in(c_pair(E,A,C,C),D,tc_prod(C,C))|c_in(A,c_tarski_ointerval(D,E,B,C),C)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0]),[]).
%
% fof(cls_conjecture_6,plain,(~c_in(v_l,c_tarski_ointerval(v_r,v_a,v_b,t_a),t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173909264,plain,(~c_in(v_l,c_tarski_ointerval(v_r,v_a,v_b,t_a),t_a)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(194245704,plain,(~c_in(c_pair(v_l,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_pair(v_a,v_l,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[173797464,173909264]),[]).
%
% cnf(206372472,plain,(c_in(v_sko__4mj(v_s,v_a,v_r),v_s,t_a)|c_in(v_sko__4mk(v_l,v_s,v_r),v_s,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,192634744,194245704]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_in(A,B,C)|~c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))|c_in(c_pair(E,A,C,C),D,tc_prod(C,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173776416,plain,(~c_in(A,B,C)|~c_lessequals(B,c_tarski_ointerval(D,E,F,C),tc_set(C))|c_in(c_pair(E,A,C,C),D,tc_prod(C,C))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% cnf(192709368,plain,(~c_in(A,v_s,t_a)|c_in(c_pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[173776416,173890456]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2,plain,(~c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,C,tc_set(t_a))|c_in(c_pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(D,B,v_r),B,t_a)|$equal(c_emptyset,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173734712,plain,(~c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,C,tc_set(t_a))|c_in(c_pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(D,B,v_r),B,t_a)|$equal(c_emptyset,B)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2]),[]).
%
% cnf(201736920,plain,(~c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(B,v_s,v_r),v_s,t_a)|$equal(c_emptyset,v_s)),inference(resolution,[status(thm)],[173734712,173890456]),[]).
%
% cnf(201755176,plain,(~c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(B,v_s,v_r),v_s,t_a)),inference(resolution,[status(thm)],[201736920,173899680]),[]).
%
% cnf(206626096,plain,(~c_in(c_pair(v_a,v_sko__4mj(v_s,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(v_l,v_s,v_r),v_s,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,201755176,194245704]),[]).
%
% fof(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,A,t_a)|c_in(c_pair(C,B,t_a,t_a),v_r,tc_prod(t_a,t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173814176,plain,(~c_tarski_oislub(A,v_cl,B,t_a)|~c_in(C,A,t_a)|c_in(c_pair(C,B,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0]),[]).
%
% cnf(192674208,plain,(~c_in(A,v_s,t_a)|c_in(c_pair(A,v_l,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[173814176,173904848]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3,plain,(~c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,D,tc_set(t_a))|c_in(c_pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|$equal(c_emptyset,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173748760,plain,(~c_in(c_pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,D,tc_set(t_a))|c_in(c_pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a))|$equal(c_emptyset,B)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3]),[]).
%
% cnf(201743736,plain,(~c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_pair(v_sko__4mk(B,v_s,v_r),B,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))|$equal(c_emptyset,v_s)),inference(resolution,[status(thm)],[173748760,173890456]),[]).
%
% cnf(201764248,plain,(~c_in(c_pair(A,v_sko__4mj(v_s,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_pair(v_sko__4mk(B,v_s,v_r),B,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(resolution,[status(thm)],[201743736,173899680]),[]).
%
% cnf(206605360,plain,(~c_in(c_pair(v_a,v_sko__4mj(v_s,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_pair(v_sko__4mk(v_l,v_s,v_r),v_l,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,201764248,194245704]),[]).
%
% cnf(208437088,plain,(~c_in(c_pair(v_a,v_sko__4mj(v_s,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[206626096,192674208,206605360]),[]).
%
% cnf(208520424,plain,(~c_in(v_sko__4mj(v_s,v_a,v_r),v_s,t_a)),inference(resolution,[status(thm)],[192709368,208437088]),[]).
%
% cnf(208936944,plain,(c_in(v_sko__4mk(v_l,v_s,v_r),v_s,t_a)),inference(resolution,[status(thm)],[206372472,208520424]),[]).
%
% fof(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,plain,(~c_in(c_pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,C,tc_set(t_a))|c_in(c_pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(B,D,v_r),B,t_a)|$equal(c_emptyset,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT274-2.tptp',unknown),[]).
%
% cnf(173723368,plain,(~c_in(c_pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(B,C,tc_set(t_a))|c_in(c_pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(B,D,v_r),B,t_a)|$equal(c_emptyset,B)),inference(rewrite,[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1]),[]).
%
% cnf(201723520,plain,(~c_in(c_pair(v_sko__4mk(A,v_s,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_s,B,v_r),v_s,t_a)|$equal(c_emptyset,v_s)),inference(resolution,[status(thm)],[173723368,173890456]),[]).
%
% cnf(201749552,plain,(~c_in(c_pair(v_sko__4mk(A,v_s,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_s,B,v_r),v_s,t_a)),inference(resolution,[status(thm)],[201723520,173899680]),[]).
%
% cnf(206595040,plain,(~c_in(c_pair(v_sko__4mk(v_l,v_s,v_r),v_l,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_s,v_a,v_r),v_s,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[203177888,201749552,194245704]),[]).
%
% cnf(208465000,plain,(~c_in(c_pair(v_sko__4mk(v_l,v_s,v_r),v_l,t_a,t_a),v_r,tc_prod(t_a,t_a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[206595040,192709368,206605360]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[208936944,192674208,208465000]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------