TSTP Solution File: SWV102+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV102+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 12:05:40 EST 2010
% Result : Theorem 0.55s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 28 unt; 0 def)
% Number of atoms : 381 ( 260 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 475 ( 160 ~; 247 |; 64 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 50 ( 3 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X4,X5,X1,X6,X7] :
( ( X4 != X5
& a_select2(X1,X5) = X6 )
=> a_select2(tptp_update2(X1,X4,X7),X5) = X6 ),
file('/tmp/tmp8vuW4P/sel_SWV102+1.p_1',sel2_update_2) ).
fof(10,axiom,
! [X1,X5,X6] : a_select2(tptp_update2(X1,X5,X6),X5) = X6,
file('/tmp/tmp8vuW4P/sel_SWV102+1.p_1',sel2_update_1) ).
fof(19,axiom,
! [X1] : ~ gt(X1,X1),
file('/tmp/tmp8vuW4P/sel_SWV102+1.p_1',irreflexivity_gt) ).
fof(26,axiom,
! [X1,X2,X3] :
( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ),
file('/tmp/tmp8vuW4P/sel_SWV102+1.p_1',transitivity_gt) ).
fof(39,axiom,
gt(n1,n0),
file('/tmp/tmp8vuW4P/sel_SWV102+1.p_1',gt_1_0) ).
fof(41,axiom,
gt(n2,n1),
file('/tmp/tmp8vuW4P/sel_SWV102+1.p_1',gt_2_1) ).
fof(51,conjecture,
( ( a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use )
=> ( a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use ) ),
file('/tmp/tmp8vuW4P/sel_SWV102+1.p_1',quaternion_ds1_inuse_0014) ).
fof(61,negated_conjecture,
~ ( ( a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use )
=> ( a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use ) ),
inference(assume_negation,[status(cth)],[51]) ).
fof(62,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).
fof(79,plain,
! [X4,X5,X1,X6,X7] :
( X4 = X5
| a_select2(X1,X5) != X6
| a_select2(tptp_update2(X1,X4,X7),X5) = X6 ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(80,plain,
! [X8,X9,X10,X11,X12] :
( X8 = X9
| a_select2(X10,X9) != X11
| a_select2(tptp_update2(X10,X8,X12),X9) = X11 ),
inference(variable_rename,[status(thm)],[79]) ).
cnf(81,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X5
| X2 = X4
| a_select2(X1,X4) != X5 ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(91,plain,
! [X7,X8,X9] : a_select2(tptp_update2(X7,X8,X9),X8) = X9,
inference(variable_rename,[status(thm)],[10]) ).
cnf(92,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[91]) ).
fof(109,plain,
! [X2] : ~ gt(X2,X2),
inference(variable_rename,[status(thm)],[62]) ).
cnf(110,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[109]) ).
fof(125,plain,
! [X1,X2,X3] :
( ~ gt(X1,X2)
| ~ gt(X2,X3)
| gt(X1,X3) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(126,plain,
! [X4,X5,X6] :
( ~ gt(X4,X5)
| ~ gt(X5,X6)
| gt(X4,X6) ),
inference(variable_rename,[status(thm)],[125]) ).
cnf(127,plain,
( gt(X1,X2)
| ~ gt(X3,X2)
| ~ gt(X1,X3) ),
inference(split_conjunct,[status(thm)],[126]) ).
cnf(142,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(144,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[41]) ).
fof(164,negated_conjecture,
( a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& ( a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ) ),
inference(fof_nnf,[status(thm)],[61]) ).
cnf(165,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use ),
inference(split_conjunct,[status(thm)],[164]) ).
cnf(166,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(167,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(168,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(169,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(170,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(171,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(172,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(173,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(174,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(175,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(176,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(177,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[164]) ).
cnf(254,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
| X2 = X4 ),
inference(er,[status(thm)],[81,theory(equality)]) ).
cnf(342,plain,
( gt(X1,n0)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[127,142,theory(equality)]) ).
cnf(430,negated_conjecture,
( $false
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[165,173,theory(equality)]) ).
cnf(431,negated_conjecture,
( $false
| $false
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[430,176,theory(equality)]) ).
cnf(432,negated_conjecture,
( $false
| $false
| $false
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[431,177,theory(equality)]) ).
cnf(433,negated_conjecture,
( $false
| $false
| $false
| $false
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[432,172,theory(equality)]) ).
cnf(434,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| a_select2(sigma_defuse,n2) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[433,174,theory(equality)]) ).
cnf(435,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[434,175,theory(equality)]) ).
cnf(436,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[435,167,theory(equality)]) ).
cnf(437,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[436,166,theory(equality)]) ).
cnf(438,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[437,168,theory(equality)]) ).
cnf(439,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[438,170,theory(equality)]) ).
cnf(440,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| a_select3(u_defuse,n2,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[439,171,theory(equality)]) ).
cnf(441,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
inference(rw,[status(thm)],[440,169,theory(equality)]) ).
cnf(442,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| $false ),
inference(rw,[status(thm)],[441,92,theory(equality)]) ).
cnf(443,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(cn,[status(thm)],[442,theory(equality)]) ).
cnf(683,negated_conjecture,
( n2 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(spm,[status(thm)],[443,254,theory(equality)]) ).
cnf(2085,plain,
~ gt(n0,n1),
inference(spm,[status(thm)],[110,342,theory(equality)]) ).
cnf(11440,negated_conjecture,
( n2 = n0
| n2 = n1
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1) != use
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(spm,[status(thm)],[683,254,theory(equality)]) ).
cnf(11443,negated_conjecture,
( n2 = n0
| n2 = n1
| $false
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(rw,[status(thm)],[11440,92,theory(equality)]) ).
cnf(11444,negated_conjecture,
( n2 = n0
| n2 = n1
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(cn,[status(thm)],[11443,theory(equality)]) ).
cnf(12385,negated_conjecture,
( n2 = n1
| n2 = n0
| n1 = n0
| a_select2(tptp_update2(rho_defuse,n0,use),n0) != use ),
inference(spm,[status(thm)],[11444,254,theory(equality)]) ).
cnf(12388,negated_conjecture,
( n2 = n1
| n2 = n0
| n1 = n0
| $false ),
inference(rw,[status(thm)],[12385,92,theory(equality)]) ).
cnf(12389,negated_conjecture,
( n2 = n1
| n2 = n0
| n1 = n0 ),
inference(cn,[status(thm)],[12388,theory(equality)]) ).
cnf(12401,negated_conjecture,
( gt(n0,n1)
| n0 = n1
| n2 = n1 ),
inference(spm,[status(thm)],[144,12389,theory(equality)]) ).
cnf(12529,negated_conjecture,
( n0 = n1
| n2 = n1 ),
inference(sr,[status(thm)],[12401,2085,theory(equality)]) ).
cnf(12586,negated_conjecture,
( gt(n1,n1)
| n0 = n1 ),
inference(spm,[status(thm)],[144,12529,theory(equality)]) ).
cnf(12715,negated_conjecture,
n0 = n1,
inference(sr,[status(thm)],[12586,110,theory(equality)]) ).
cnf(12833,plain,
gt(n1,n1),
inference(rw,[status(thm)],[142,12715,theory(equality)]) ).
cnf(12834,plain,
$false,
inference(sr,[status(thm)],[12833,110,theory(equality)]) ).
cnf(12835,plain,
$false,
12834,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV102+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmp8vuW4P/sel_SWV102+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV102+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV102+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV102+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------