TSTP Solution File: SWV199+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV199+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 12:23:27 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 481 ( 297 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 559 ( 134 ~; 122 |; 285 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(49,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = 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(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,pred(pv5)) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5) )
=> ( ( ~ ( n0 = X8
& pv5 = X9 )
& ~ ( n1 = X8
& pv5 = X9 )
& ~ ( n2 = X8
& pv5 = X9 ) )
=> a_select3(z_defuse,X8,X9) = use ) ) ),
file('/tmp/tmpR8aZ4A/sel_SWV199+1.p_1',quaternion_ds1_inuse_0010) ).
fof(50,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('/tmp/tmpR8aZ4A/sel_SWV199+1.p_1',finite_domain_2) ).
fof(52,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n0) )
=> X1 = n0 ),
file('/tmp/tmpR8aZ4A/sel_SWV199+1.p_1',finite_domain_0) ).
fof(68,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = 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(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,pred(pv5)) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5) )
=> ( ( ~ ( n0 = X8
& pv5 = X9 )
& ~ ( n1 = X8
& pv5 = X9 )
& ~ ( n2 = X8
& pv5 = X9 ) )
=> a_select3(z_defuse,X8,X9) = use ) ) ),
inference(assume_negation,[status(cth)],[49]) ).
fof(70,plain,
( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = 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(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,pred(pv5)) )
=> a_select3(z_defuse,X6,X7) = use ) ) ),
introduced(definition) ).
fof(71,negated_conjecture,
~ ( epred1_0
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5) )
=> ( ( ~ ( n0 = X8
& pv5 = X9 )
& ~ ( n1 = X8
& pv5 = X9 )
& ~ ( n2 = X8
& pv5 = X9 ) )
=> a_select3(z_defuse,X8,X9) = use ) ) ),
inference(apply_def,[status(esa)],[68,70,theory(equality)]) ).
fof(161,negated_conjecture,
( epred1_0
& ? [X8,X9] :
( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5)
& ( n0 != X8
| pv5 != X9 )
& ( n1 != X8
| pv5 != X9 )
& ( n2 != X8
| pv5 != X9 )
& a_select3(z_defuse,X8,X9) != use ) ),
inference(fof_nnf,[status(thm)],[71]) ).
fof(162,negated_conjecture,
( epred1_0
& ? [X10,X11] :
( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n2)
& leq(X11,pv5)
& ( n0 != X10
| pv5 != X11 )
& ( n1 != X10
| pv5 != X11 )
& ( n2 != X10
| pv5 != X11 )
& a_select3(z_defuse,X10,X11) != use ) ),
inference(variable_rename,[status(thm)],[161]) ).
fof(163,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n2)
& leq(esk2_0,pv5)
& ( n0 != esk1_0
| pv5 != esk2_0 )
& ( n1 != esk1_0
| pv5 != esk2_0 )
& ( n2 != esk1_0
| pv5 != esk2_0 )
& a_select3(z_defuse,esk1_0,esk2_0) != use ),
inference(skolemize,[status(esa)],[162]) ).
cnf(165,negated_conjecture,
( pv5 != esk2_0
| n2 != esk1_0 ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(166,negated_conjecture,
( pv5 != esk2_0
| n1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(167,negated_conjecture,
( pv5 != esk2_0
| n0 != esk1_0 ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(168,negated_conjecture,
leq(esk2_0,pv5),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(169,negated_conjecture,
leq(esk1_0,n2),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(170,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(171,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(172,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[163]) ).
fof(173,plain,
! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| X1 = n0
| X1 = n1
| X1 = n2 ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(174,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n2)
| X2 = n0
| X2 = n1
| X2 = n2 ),
inference(variable_rename,[status(thm)],[173]) ).
cnf(175,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[174]) ).
fof(179,plain,
! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n0)
| X1 = n0 ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(180,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n0)
| X2 = n0 ),
inference(variable_rename,[status(thm)],[179]) ).
cnf(181,plain,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[180]) ).
fof(199,plain,
( ~ epred1_0
| ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = 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(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5))
| a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n2)
| ~ leq(X7,pred(pv5))
| a_select3(z_defuse,X6,X7) = use ) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(200,plain,
( ~ epred1_0
| ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = 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(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,pred(pv5))
| a_select3(u_defuse,X8,X9) = use )
& ! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,pred(pv5))
| a_select3(z_defuse,X10,X11) = use ) ) ),
inference(variable_rename,[status(thm)],[199]) ).
fof(201,plain,
! [X8,X9,X10,X11] :
( ( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,pred(pv5))
| a_select3(z_defuse,X10,X11) = use )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,pred(pv5))
| a_select3(u_defuse,X8,X9) = use )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = 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(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998) )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[200]) ).
fof(202,plain,
! [X8,X9,X10,X11] :
( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,pred(pv5))
| a_select3(z_defuse,X10,X11) = use
| ~ epred1_0 )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,pred(pv5))
| a_select3(u_defuse,X8,X9) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 )
& ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(pv5,n0)
| ~ epred1_0 )
& ( leq(pv5,n998)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[201]) ).
cnf(204,plain,
( leq(pv5,n0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(205,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(259,plain,
( leq(n0,pv5)
| $false ),
inference(rw,[status(thm)],[205,172,theory(equality)]) ).
cnf(260,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[259,theory(equality)]) ).
cnf(261,plain,
( leq(pv5,n0)
| $false ),
inference(rw,[status(thm)],[204,172,theory(equality)]) ).
cnf(262,plain,
leq(pv5,n0),
inference(cn,[status(thm)],[261,theory(equality)]) ).
cnf(334,plain,
( n0 = pv5
| ~ leq(n0,pv5) ),
inference(spm,[status(thm)],[181,262,theory(equality)]) ).
cnf(335,plain,
( n0 = pv5
| $false ),
inference(rw,[status(thm)],[334,260,theory(equality)]) ).
cnf(336,plain,
n0 = pv5,
inference(cn,[status(thm)],[335,theory(equality)]) ).
cnf(401,negated_conjecture,
( n2 = esk1_0
| n0 = esk1_0
| n1 = esk1_0
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[175,169,theory(equality)]) ).
cnf(402,negated_conjecture,
( n2 = esk1_0
| n0 = esk1_0
| n1 = esk1_0
| $false ),
inference(rw,[status(thm)],[401,171,theory(equality)]) ).
cnf(403,negated_conjecture,
( n2 = esk1_0
| n0 = esk1_0
| n1 = esk1_0 ),
inference(cn,[status(thm)],[402,theory(equality)]) ).
cnf(610,negated_conjecture,
leq(esk2_0,n0),
inference(rw,[status(thm)],[168,336,theory(equality)]) ).
cnf(613,negated_conjecture,
( esk1_0 != n2
| esk2_0 != n0 ),
inference(rw,[status(thm)],[165,336,theory(equality)]) ).
cnf(614,negated_conjecture,
( esk1_0 != n0
| esk2_0 != n0 ),
inference(rw,[status(thm)],[167,336,theory(equality)]) ).
cnf(615,negated_conjecture,
( esk1_0 != n1
| esk2_0 != n0 ),
inference(rw,[status(thm)],[166,336,theory(equality)]) ).
cnf(623,negated_conjecture,
( n0 = esk2_0
| ~ leq(n0,esk2_0) ),
inference(spm,[status(thm)],[181,610,theory(equality)]) ).
cnf(625,negated_conjecture,
( n0 = esk2_0
| $false ),
inference(rw,[status(thm)],[623,170,theory(equality)]) ).
cnf(626,negated_conjecture,
n0 = esk2_0,
inference(cn,[status(thm)],[625,theory(equality)]) ).
cnf(647,negated_conjecture,
( esk1_0 != n1
| $false ),
inference(rw,[status(thm)],[615,626,theory(equality)]) ).
cnf(648,negated_conjecture,
esk1_0 != n1,
inference(cn,[status(thm)],[647,theory(equality)]) ).
cnf(649,negated_conjecture,
( esk1_0 != n0
| $false ),
inference(rw,[status(thm)],[614,626,theory(equality)]) ).
cnf(650,negated_conjecture,
esk1_0 != n0,
inference(cn,[status(thm)],[649,theory(equality)]) ).
cnf(651,negated_conjecture,
( esk1_0 != n2
| $false ),
inference(rw,[status(thm)],[613,626,theory(equality)]) ).
cnf(652,negated_conjecture,
esk1_0 != n2,
inference(cn,[status(thm)],[651,theory(equality)]) ).
cnf(707,negated_conjecture,
( esk1_0 = n0
| esk1_0 = n1 ),
inference(sr,[status(thm)],[403,652,theory(equality)]) ).
cnf(708,negated_conjecture,
esk1_0 = n1,
inference(sr,[status(thm)],[707,650,theory(equality)]) ).
cnf(709,negated_conjecture,
$false,
inference(sr,[status(thm)],[708,648,theory(equality)]) ).
cnf(710,negated_conjecture,
$false,
709,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV199+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpR8aZ4A/sel_SWV199+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV199+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV199+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV199+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
%
%------------------------------------------------------------------------------