TSTP Solution File: SWV203+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV203+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 12:23:45 EST 2010
% Result : Theorem 0.46s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 76 ( 26 unt; 0 def)
% Number of atoms : 535 ( 296 equ)
% Maximal formula atoms : 72 ( 7 avg)
% Number of connectives : 624 ( 165 ~; 150 |; 289 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 57 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/tmp/tmpV35Yr2/sel_SWV203+1.p_1',leq_gt2) ).
fof(15,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/tmp/tmpV35Yr2/sel_SWV203+1.p_1',succ_plus_1_r) ).
fof(22,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('/tmp/tmpV35Yr2/sel_SWV203+1.p_1',leq_succ_gt_equiv) ).
fof(23,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/tmp/tmpV35Yr2/sel_SWV203+1.p_1',leq_gt_pred) ).
fof(39,axiom,
succ(succ(n0)) = n2,
file('/tmp/tmpV35Yr2/sel_SWV203+1.p_1',successor_2) ).
fof(52,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,n998)
& gt(pv5,n0)
& ! [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/tmpV35Yr2/sel_SWV203+1.p_1',quaternion_ds1_inuse_0014) ).
fof(54,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('/tmp/tmpV35Yr2/sel_SWV203+1.p_1',finite_domain_1) ).
fof(57,axiom,
succ(n0) = n1,
file('/tmp/tmpV35Yr2/sel_SWV203+1.p_1',successor_1) ).
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,n998)
& gt(pv5,n0)
& ! [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)],[52]) ).
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,n998)
& gt(pv5,n0)
& ! [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(80,plain,
! [X1,X2] :
( ~ leq(X1,X2)
| X1 = X2
| gt(X2,X1) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(81,plain,
! [X3,X4] :
( ~ leq(X3,X4)
| X3 = X4
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[80]) ).
cnf(82,plain,
( gt(X1,X2)
| X2 = X1
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(104,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[15]) ).
cnf(105,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[104]) ).
fof(118,plain,
! [X1,X2] :
( ( ~ leq(X1,X2)
| gt(succ(X2),X1) )
& ( ~ gt(succ(X2),X1)
| leq(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(119,plain,
! [X3,X4] :
( ( ~ leq(X3,X4)
| gt(succ(X4),X3) )
& ( ~ gt(succ(X4),X3)
| leq(X3,X4) ) ),
inference(variable_rename,[status(thm)],[118]) ).
cnf(120,plain,
( leq(X1,X2)
| ~ gt(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[119]) ).
fof(122,plain,
! [X1,X2] :
( ( ~ leq(X1,pred(X2))
| gt(X2,X1) )
& ( ~ gt(X2,X1)
| leq(X1,pred(X2)) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(123,plain,
! [X3,X4] :
( ( ~ leq(X3,pred(X4))
| gt(X4,X3) )
& ( ~ gt(X4,X3)
| leq(X3,pred(X4)) ) ),
inference(variable_rename,[status(thm)],[122]) ).
cnf(124,plain,
( leq(X1,pred(X2))
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[123]) ).
cnf(147,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[39]) ).
fof(170,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(171,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)],[170]) ).
fof(172,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)],[171]) ).
cnf(173,negated_conjecture,
a_select3(z_defuse,esk1_0,esk2_0) != use,
inference(split_conjunct,[status(thm)],[172]) ).
cnf(174,negated_conjecture,
( pv5 != esk2_0
| n2 != esk1_0 ),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(175,negated_conjecture,
( pv5 != esk2_0
| n1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(176,negated_conjecture,
( pv5 != esk2_0
| n0 != esk1_0 ),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(177,negated_conjecture,
leq(esk2_0,pv5),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(178,negated_conjecture,
leq(esk1_0,n2),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(179,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(180,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(181,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[172]) ).
fof(183,plain,
! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n1)
| X1 = n0
| X1 = n1 ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(184,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n1)
| X2 = n0
| X2 = n1 ),
inference(variable_rename,[status(thm)],[183]) ).
cnf(185,plain,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[184]) ).
cnf(188,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[57]) ).
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,n998)
& gt(pv5,n0)
& ! [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,n998)
& gt(pv5,n0)
& ! [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,n998)
& gt(pv5,n0) )
| ~ 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,n998)
| ~ epred1_0 )
& ( gt(pv5,n0)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[201]) ).
cnf(234,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ epred1_0
| ~ leq(X2,pred(pv5))
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[202]) ).
cnf(236,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[188,105,theory(equality)]),
[unfolding] ).
cnf(240,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[147,105,theory(equality)]),105,theory(equality)]),
[unfolding] ).
cnf(253,plain,
( leq(X1,X2)
| ~ gt(plus(X2,n1),X1) ),
inference(rw,[status(thm)],[120,105,theory(equality)]),
[unfolding] ).
cnf(364,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[240,236,theory(equality)]) ).
cnf(409,plain,
( leq(X1,n1)
| ~ gt(n2,X1) ),
inference(spm,[status(thm)],[253,364,theory(equality)]) ).
cnf(529,plain,
( a_select3(z_defuse,X1,X2) = use
| $false
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X2,pred(pv5)) ),
inference(rw,[status(thm)],[234,181,theory(equality)]) ).
cnf(530,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X2,pred(pv5)) ),
inference(cn,[status(thm)],[529,theory(equality)]) ).
cnf(532,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ gt(pv5,X2) ),
inference(spm,[status(thm)],[530,124,theory(equality)]) ).
cnf(1323,plain,
( leq(X1,n1)
| n2 = X1
| ~ leq(X1,n2) ),
inference(spm,[status(thm)],[409,82,theory(equality)]) ).
cnf(1826,negated_conjecture,
( n2 = esk1_0
| leq(esk1_0,n1) ),
inference(spm,[status(thm)],[1323,178,theory(equality)]) ).
cnf(6450,plain,
( ~ gt(pv5,esk2_0)
| ~ leq(esk1_0,n2)
| ~ leq(n0,esk2_0)
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[173,532,theory(equality)]) ).
cnf(6456,plain,
( ~ gt(pv5,esk2_0)
| $false
| ~ leq(n0,esk2_0)
| ~ leq(n0,esk1_0) ),
inference(rw,[status(thm)],[6450,178,theory(equality)]) ).
cnf(6457,plain,
( ~ gt(pv5,esk2_0)
| $false
| $false
| ~ leq(n0,esk1_0) ),
inference(rw,[status(thm)],[6456,179,theory(equality)]) ).
cnf(6458,plain,
( ~ gt(pv5,esk2_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[6457,180,theory(equality)]) ).
cnf(6459,plain,
~ gt(pv5,esk2_0),
inference(cn,[status(thm)],[6458,theory(equality)]) ).
cnf(6480,plain,
( pv5 = esk2_0
| ~ leq(esk2_0,pv5) ),
inference(spm,[status(thm)],[6459,82,theory(equality)]) ).
cnf(6482,plain,
( pv5 = esk2_0
| $false ),
inference(rw,[status(thm)],[6480,177,theory(equality)]) ).
cnf(6483,plain,
pv5 = esk2_0,
inference(cn,[status(thm)],[6482,theory(equality)]) ).
cnf(6567,negated_conjecture,
( esk1_0 != n2
| $false ),
inference(rw,[status(thm)],[174,6483,theory(equality)]) ).
cnf(6568,negated_conjecture,
esk1_0 != n2,
inference(cn,[status(thm)],[6567,theory(equality)]) ).
cnf(6569,negated_conjecture,
( esk1_0 != n0
| $false ),
inference(rw,[status(thm)],[176,6483,theory(equality)]) ).
cnf(6570,negated_conjecture,
esk1_0 != n0,
inference(cn,[status(thm)],[6569,theory(equality)]) ).
cnf(6571,negated_conjecture,
( esk1_0 != n1
| $false ),
inference(rw,[status(thm)],[175,6483,theory(equality)]) ).
cnf(6572,negated_conjecture,
esk1_0 != n1,
inference(cn,[status(thm)],[6571,theory(equality)]) ).
cnf(6578,negated_conjecture,
leq(esk1_0,n1),
inference(sr,[status(thm)],[1826,6568,theory(equality)]) ).
cnf(6589,negated_conjecture,
( n0 = esk1_0
| n1 = esk1_0
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[185,6578,theory(equality)]) ).
cnf(6596,negated_conjecture,
( n0 = esk1_0
| n1 = esk1_0
| $false ),
inference(rw,[status(thm)],[6589,180,theory(equality)]) ).
cnf(6597,negated_conjecture,
( n0 = esk1_0
| n1 = esk1_0 ),
inference(cn,[status(thm)],[6596,theory(equality)]) ).
cnf(6598,negated_conjecture,
esk1_0 = n1,
inference(sr,[status(thm)],[6597,6570,theory(equality)]) ).
cnf(6695,negated_conjecture,
$false,
inference(rw,[status(thm)],[6572,6598,theory(equality)]) ).
cnf(6696,negated_conjecture,
$false,
inference(cn,[status(thm)],[6695,theory(equality)]) ).
cnf(6697,negated_conjecture,
$false,
6696,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV203+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpV35Yr2/sel_SWV203+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV203+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV203+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV203+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
%
%------------------------------------------------------------------------------