TSTP Solution File: SWV210+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV210+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 12:24:18 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 9
% Syntax : Number of formulae : 80 ( 26 unt; 0 def)
% Number of atoms : 511 ( 258 equ)
% Maximal formula atoms : 66 ( 6 avg)
% Number of connectives : 577 ( 146 ~; 172 |; 242 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-3 aty)
% Number of variables : 92 ( 0 sgn 62 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',transitivity_leq) ).
fof(5,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',leq_gt1) ).
fof(15,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',succ_plus_1_r) ).
fof(17,axiom,
! [X1] : gt(succ(X1),X1),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',gt_succ) ).
fof(22,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',leq_succ_gt_equiv) ).
fof(37,axiom,
gt(n1,n0),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',gt_1_0) ).
fof(41,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
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,n998) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n998) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n998) )
=> a_select3(z_defuse,X8,X9) = use ) ),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',quaternion_ds1_inuse_0021) ).
fof(47,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('/tmp/tmpw9Mlev/sel_SWV210+1.p_1',finite_domain_2) ).
fof(65,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
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,n998) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n998) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n998) )
=> a_select3(z_defuse,X8,X9) = use ) ),
inference(assume_negation,[status(cth)],[41]) ).
fof(67,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
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,n998) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n998) )
=> a_select3(z_defuse,X6,X7) = use ) ) ),
introduced(definition) ).
fof(68,negated_conjecture,
~ ( epred1_0
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n998) )
=> a_select3(z_defuse,X8,X9) = use ) ),
inference(apply_def,[status(esa)],[65,67,theory(equality)]) ).
fof(74,plain,
! [X1,X2,X3] :
( ~ leq(X1,X2)
| ~ leq(X2,X3)
| leq(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(75,plain,
! [X4,X5,X6] :
( ~ leq(X4,X5)
| ~ leq(X5,X6)
| leq(X4,X6) ),
inference(variable_rename,[status(thm)],[74]) ).
cnf(76,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[75]) ).
fof(80,plain,
! [X1,X2] :
( ~ gt(X2,X1)
| leq(X1,X2) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(81,plain,
! [X3,X4] :
( ~ gt(X4,X3)
| leq(X3,X4) ),
inference(variable_rename,[status(thm)],[80]) ).
cnf(82,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(101,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[15]) ).
cnf(102,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[101]) ).
fof(105,plain,
! [X2] : gt(succ(X2),X2),
inference(variable_rename,[status(thm)],[17]) ).
cnf(106,plain,
gt(succ(X1),X1),
inference(split_conjunct,[status(thm)],[105]) ).
fof(115,plain,
! [X1,X2] :
( ( ~ leq(X1,X2)
| gt(succ(X2),X1) )
& ( ~ gt(succ(X2),X1)
| leq(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(116,plain,
! [X3,X4] :
( ( ~ leq(X3,X4)
| gt(succ(X4),X3) )
& ( ~ gt(succ(X4),X3)
| leq(X3,X4) ) ),
inference(variable_rename,[status(thm)],[115]) ).
cnf(117,plain,
( leq(X1,X2)
| ~ gt(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(137,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[37]) ).
fof(141,negated_conjecture,
( epred1_0
& ? [X8,X9] :
( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,n998)
& a_select3(z_defuse,X8,X9) != use ) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(142,negated_conjecture,
( epred1_0
& ? [X10,X11] :
( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n2)
& leq(X11,n998)
& a_select3(z_defuse,X10,X11) != use ) ),
inference(variable_rename,[status(thm)],[141]) ).
fof(143,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n2)
& leq(esk2_0,n998)
& a_select3(z_defuse,esk1_0,esk2_0) != use ),
inference(skolemize,[status(esa)],[142]) ).
cnf(144,negated_conjecture,
a_select3(z_defuse,esk1_0,esk2_0) != use,
inference(split_conjunct,[status(thm)],[143]) ).
cnf(145,negated_conjecture,
leq(esk2_0,n998),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(146,negated_conjecture,
leq(esk1_0,n2),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(147,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(148,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(149,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[143]) ).
fof(159,plain,
! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| X1 = n0
| X1 = n1
| X1 = n2 ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(160,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n2)
| X2 = n0
| X2 = n1
| X2 = n2 ),
inference(variable_rename,[status(thm)],[159]) ).
cnf(161,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[160]) ).
fof(185,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
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,n998)
| a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n2)
| ~ leq(X7,n998)
| a_select3(z_defuse,X6,X7) = use ) ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(186,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
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n998)
| a_select3(u_defuse,X8,X9) = use )
& ! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n998)
| a_select3(z_defuse,X10,X11) = use ) ) ),
inference(variable_rename,[status(thm)],[185]) ).
fof(187,plain,
! [X8,X9,X10,X11] :
( ( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n998)
| a_select3(z_defuse,X10,X11) = use )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n998)
| 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 )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[186]) ).
fof(188,plain,
! [X8,X9,X10,X11] :
( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,n998)
| a_select3(z_defuse,X10,X11) = use
| ~ epred1_0 )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,n998)
| 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 ) ),
inference(distribute,[status(thm)],[187]) ).
cnf(217,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ epred1_0
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(222,plain,
gt(plus(X1,n1),X1),
inference(rw,[status(thm)],[106,102,theory(equality)]),
[unfolding] ).
cnf(234,plain,
( leq(X1,X2)
| ~ gt(plus(X2,n1),X1) ),
inference(rw,[status(thm)],[117,102,theory(equality)]),
[unfolding] ).
cnf(275,negated_conjecture,
( leq(X1,n2)
| ~ leq(X1,esk1_0) ),
inference(spm,[status(thm)],[76,146,theory(equality)]) ).
cnf(276,negated_conjecture,
( leq(X1,n998)
| ~ leq(X1,esk2_0) ),
inference(spm,[status(thm)],[76,145,theory(equality)]) ).
cnf(278,plain,
( leq(X1,X2)
| ~ leq(X1,X3)
| ~ gt(X2,X3) ),
inference(spm,[status(thm)],[76,82,theory(equality)]) ).
cnf(327,plain,
leq(X1,X1),
inference(spm,[status(thm)],[234,222,theory(equality)]) ).
cnf(390,plain,
( a_select3(z_defuse,X1,X2) = use
| $false
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[217,149,theory(equality)]) ).
cnf(391,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[390,theory(equality)]) ).
cnf(532,negated_conjecture,
leq(n0,n2),
inference(spm,[status(thm)],[275,148,theory(equality)]) ).
cnf(533,negated_conjecture,
leq(esk1_0,n2),
inference(spm,[status(thm)],[275,327,theory(equality)]) ).
cnf(541,negated_conjecture,
( n2 = esk1_0
| n0 = esk1_0
| n1 = esk1_0
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[161,533,theory(equality)]) ).
cnf(571,negated_conjecture,
leq(esk2_0,n998),
inference(spm,[status(thm)],[276,327,theory(equality)]) ).
cnf(587,plain,
( leq(X1,n1)
| ~ leq(X1,n0) ),
inference(spm,[status(thm)],[278,137,theory(equality)]) ).
cnf(702,plain,
leq(n0,n1),
inference(spm,[status(thm)],[587,327,theory(equality)]) ).
cnf(845,negated_conjecture,
( esk1_0 = n1
| esk1_0 = n0
| esk1_0 = n2 ),
inference(spm,[status(thm)],[541,148,theory(equality)]) ).
cnf(854,negated_conjecture,
( esk1_0 = n0
| esk1_0 = n1
| a_select3(z_defuse,n2,esk2_0) != use ),
inference(spm,[status(thm)],[144,845,theory(equality)]) ).
cnf(1802,plain,
( esk1_0 = n1
| esk1_0 = n0
| ~ leq(esk2_0,n998)
| ~ leq(n2,n2)
| ~ leq(n0,esk2_0)
| ~ leq(n0,n2) ),
inference(spm,[status(thm)],[854,391,theory(equality)]) ).
cnf(1803,plain,
( esk1_0 = n1
| esk1_0 = n0
| $false
| ~ leq(n2,n2)
| ~ leq(n0,esk2_0)
| ~ leq(n0,n2) ),
inference(rw,[status(thm)],[1802,571,theory(equality)]) ).
cnf(1804,plain,
( esk1_0 = n1
| esk1_0 = n0
| $false
| $false
| ~ leq(n0,esk2_0)
| ~ leq(n0,n2) ),
inference(rw,[status(thm)],[1803,327,theory(equality)]) ).
cnf(1805,plain,
( esk1_0 = n1
| esk1_0 = n0
| $false
| $false
| ~ leq(n0,esk2_0)
| $false ),
inference(rw,[status(thm)],[1804,532,theory(equality)]) ).
cnf(1806,plain,
( esk1_0 = n1
| esk1_0 = n0
| ~ leq(n0,esk2_0) ),
inference(cn,[status(thm)],[1805,theory(equality)]) ).
cnf(1821,negated_conjecture,
( esk1_0 = n0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1806,147,theory(equality)]) ).
cnf(1829,negated_conjecture,
( esk1_0 = n1
| a_select3(z_defuse,n0,esk2_0) != use ),
inference(spm,[status(thm)],[144,1821,theory(equality)]) ).
cnf(1866,plain,
( esk1_0 = n1
| ~ leq(esk2_0,n998)
| ~ leq(n0,n2)
| ~ leq(n0,esk2_0)
| ~ leq(n0,n0) ),
inference(spm,[status(thm)],[1829,391,theory(equality)]) ).
cnf(1867,plain,
( esk1_0 = n1
| $false
| ~ leq(n0,n2)
| ~ leq(n0,esk2_0)
| ~ leq(n0,n0) ),
inference(rw,[status(thm)],[1866,571,theory(equality)]) ).
cnf(1868,plain,
( esk1_0 = n1
| $false
| $false
| ~ leq(n0,esk2_0)
| ~ leq(n0,n0) ),
inference(rw,[status(thm)],[1867,532,theory(equality)]) ).
cnf(1869,plain,
( esk1_0 = n1
| $false
| $false
| ~ leq(n0,esk2_0)
| $false ),
inference(rw,[status(thm)],[1868,327,theory(equality)]) ).
cnf(1870,plain,
( esk1_0 = n1
| ~ leq(n0,esk2_0) ),
inference(cn,[status(thm)],[1869,theory(equality)]) ).
cnf(1886,negated_conjecture,
esk1_0 = n1,
inference(spm,[status(thm)],[1870,147,theory(equality)]) ).
cnf(1891,negated_conjecture,
leq(n1,n2),
inference(rw,[status(thm)],[533,1886,theory(equality)]) ).
cnf(1897,negated_conjecture,
a_select3(z_defuse,n1,esk2_0) != use,
inference(rw,[status(thm)],[144,1886,theory(equality)]) ).
cnf(1922,plain,
( ~ leq(esk2_0,n998)
| ~ leq(n1,n2)
| ~ leq(n0,esk2_0)
| ~ leq(n0,n1) ),
inference(spm,[status(thm)],[1897,391,theory(equality)]) ).
cnf(1923,plain,
( $false
| ~ leq(n1,n2)
| ~ leq(n0,esk2_0)
| ~ leq(n0,n1) ),
inference(rw,[status(thm)],[1922,571,theory(equality)]) ).
cnf(1924,plain,
( $false
| $false
| ~ leq(n0,esk2_0)
| ~ leq(n0,n1) ),
inference(rw,[status(thm)],[1923,1891,theory(equality)]) ).
cnf(1925,plain,
( $false
| $false
| ~ leq(n0,esk2_0)
| $false ),
inference(rw,[status(thm)],[1924,702,theory(equality)]) ).
cnf(1926,plain,
~ leq(n0,esk2_0),
inference(cn,[status(thm)],[1925,theory(equality)]) ).
cnf(1929,negated_conjecture,
$false,
inference(sr,[status(thm)],[147,1926,theory(equality)]) ).
cnf(1930,negated_conjecture,
$false,
1929,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV210+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpw9Mlev/sel_SWV210+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV210+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV210+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV210+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
%
%------------------------------------------------------------------------------