TSTP Solution File: SWV221+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV221+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 12:25:05 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 13 unt; 0 def)
% Number of atoms : 436 ( 77 equ)
% Maximal formula atoms : 51 ( 9 avg)
% Number of connectives : 582 ( 194 ~; 178 |; 167 &)
% ( 1 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 129 ( 0 sgn 111 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/tmp/tmpMPAl7f/sel_SWV221+1.p_1',transitivity_leq) ).
fof(5,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/tmp/tmpMPAl7f/sel_SWV221+1.p_1',leq_gt1) ).
fof(22,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/tmp/tmpMPAl7f/sel_SWV221+1.p_1',leq_gt_pred) ).
fof(52,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n5) )
=> a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n2) )
=> a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n5)
& leq(X9,n5) )
=> a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n5) )
=> ( ( X10 = pv57
& gt(pv58,X11) )
=> a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
=> ( gt(pv57,X12)
=> a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) ) )
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> a_select3(id_ds1_filter,X14,X15) = a_select3(id_ds1_filter,X15,X14) ) ) )
=> ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n5) )
=> ( ( ~ ( pv57 = X17
& X17 = X16 )
& pv57 != X16 )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) ) ) ),
file('/tmp/tmpMPAl7f/sel_SWV221+1.p_1',quaternion_ds1_symm_0401) ).
fof(67,negated_conjecture,
~ ( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n5) )
=> a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n2) )
=> a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n5)
& leq(X9,n5) )
=> a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n5) )
=> ( ( X10 = pv57
& gt(pv58,X11) )
=> a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
=> ( gt(pv57,X12)
=> a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) ) )
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> a_select3(id_ds1_filter,X14,X15) = a_select3(id_ds1_filter,X15,X14) ) ) )
=> ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n5) )
=> ( ( ~ ( pv57 = X17
& X17 = X16 )
& pv57 != X16 )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) ) ) ),
inference(assume_negation,[status(cth)],[52]) ).
fof(69,plain,
( epred1_0
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n5)
& leq(X5,n5) )
=> a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,n2) )
=> a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n5)
& leq(X9,n5) )
=> a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n5)
& leq(X11,n5) )
=> ( ( X10 = pv57
& gt(pv58,X11) )
=> a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X12,X13] :
( ( leq(n0,X12)
& leq(n0,X13)
& leq(X12,n5)
& leq(X13,n5) )
=> ( gt(pv57,X12)
=> a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) ) )
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> a_select3(id_ds1_filter,X14,X15) = a_select3(id_ds1_filter,X15,X14) ) ) ) ),
introduced(definition) ).
fof(70,negated_conjecture,
~ ( epred1_0
=> ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n5) )
=> ( ( ~ ( pv57 = X17
& X17 = X16 )
& pv57 != X16 )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) ) ) ),
inference(apply_def,[status(esa)],[67,69,theory(equality)]) ).
fof(76,plain,
! [X1,X2,X3] :
( ~ leq(X1,X2)
| ~ leq(X2,X3)
| leq(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(77,plain,
! [X4,X5,X6] :
( ~ leq(X4,X5)
| ~ leq(X5,X6)
| leq(X4,X6) ),
inference(variable_rename,[status(thm)],[76]) ).
cnf(78,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(82,plain,
! [X1,X2] :
( ~ gt(X2,X1)
| leq(X1,X2) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(83,plain,
! [X3,X4] :
( ~ gt(X4,X3)
| leq(X3,X4) ),
inference(variable_rename,[status(thm)],[82]) ).
cnf(84,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(120,plain,
! [X1,X2] :
( ( ~ leq(X1,pred(X2))
| gt(X2,X1) )
& ( ~ gt(X2,X1)
| leq(X1,pred(X2)) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(121,plain,
! [X3,X4] :
( ( ~ leq(X3,pred(X4))
| gt(X4,X3) )
& ( ~ gt(X4,X3)
| leq(X3,pred(X4)) ) ),
inference(variable_rename,[status(thm)],[120]) ).
cnf(123,plain,
( gt(X1,X2)
| ~ leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[121]) ).
fof(171,negated_conjecture,
( epred1_0
& ? [X16] :
( leq(n0,X16)
& leq(X16,pred(pv57))
& ? [X17] :
( leq(n0,X17)
& leq(X17,n5)
& ( pv57 != X17
| X17 != X16 )
& pv57 != X16
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(172,negated_conjecture,
( epred1_0
& ? [X18] :
( leq(n0,X18)
& leq(X18,pred(pv57))
& ? [X19] :
( leq(n0,X19)
& leq(X19,n5)
& ( pv57 != X19
| X19 != X18 )
& pv57 != X18
& a_select3(id_ds1_filter,X18,X19) != a_select3(id_ds1_filter,X19,X18) ) ) ),
inference(variable_rename,[status(thm)],[171]) ).
fof(173,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(esk1_0,pred(pv57))
& leq(n0,esk2_0)
& leq(esk2_0,n5)
& ( pv57 != esk2_0
| esk2_0 != esk1_0 )
& pv57 != esk1_0
& a_select3(id_ds1_filter,esk1_0,esk2_0) != a_select3(id_ds1_filter,esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[172]) ).
cnf(174,negated_conjecture,
a_select3(id_ds1_filter,esk1_0,esk2_0) != a_select3(id_ds1_filter,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(177,negated_conjecture,
leq(esk2_0,n5),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(178,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(179,negated_conjecture,
leq(esk1_0,pred(pv57)),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(180,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(181,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[173]) ).
fof(196,plain,
( ~ epred1_0
| ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| ~ leq(X5,n5)
| a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n2)
| ~ leq(X7,n2)
| a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n5)
| ~ leq(X9,n5)
| a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n5)
| ~ leq(X11,n5)
| X10 != pv57
| ~ gt(pv58,X11)
| a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ~ leq(n0,X12)
| ~ leq(n0,X13)
| ~ leq(X12,n5)
| ~ leq(X13,n5)
| ~ gt(pv57,X12)
| a_select3(id_ds1_filter,X12,X13) = a_select3(id_ds1_filter,X13,X12) )
& ! [X14] :
( ~ leq(n0,X14)
| ~ leq(X14,pred(pv57))
| ! [X15] :
( ~ leq(n0,X15)
| ~ leq(X15,n5)
| a_select3(id_ds1_filter,X14,X15) = a_select3(id_ds1_filter,X15,X14) ) ) ) ),
inference(fof_nnf,[status(thm)],[69]) ).
fof(197,plain,
( ~ epred1_0
| ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X16,X17] :
( ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5)
| a_select3(q_ds1_filter,X16,X17) = a_select3(q_ds1_filter,X17,X16) )
& ! [X18,X19] :
( ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n2)
| ~ leq(X19,n2)
| a_select3(r_ds1_filter,X18,X19) = a_select3(r_ds1_filter,X19,X18) )
& ! [X20,X21] :
( ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5)
| a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X22,X23] :
( ~ leq(n0,X22)
| ~ leq(n0,X23)
| ~ leq(X22,n5)
| ~ leq(X23,n5)
| X22 != pv57
| ~ gt(pv58,X23)
| a_select3(id_ds1_filter,X22,X23) = a_select3(id_ds1_filter,X23,X22) )
& ! [X24,X25] :
( ~ leq(n0,X24)
| ~ leq(n0,X25)
| ~ leq(X24,n5)
| ~ leq(X25,n5)
| ~ gt(pv57,X24)
| a_select3(id_ds1_filter,X24,X25) = a_select3(id_ds1_filter,X25,X24) )
& ! [X26] :
( ~ leq(n0,X26)
| ~ leq(X26,pred(pv57))
| ! [X27] :
( ~ leq(n0,X27)
| ~ leq(X27,n5)
| a_select3(id_ds1_filter,X26,X27) = a_select3(id_ds1_filter,X27,X26) ) ) ) ),
inference(variable_rename,[status(thm)],[196]) ).
fof(198,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( ( ~ leq(n0,X27)
| ~ leq(X27,n5)
| a_select3(id_ds1_filter,X26,X27) = a_select3(id_ds1_filter,X27,X26)
| ~ leq(n0,X26)
| ~ leq(X26,pred(pv57)) )
& ( ~ leq(n0,X24)
| ~ leq(n0,X25)
| ~ leq(X24,n5)
| ~ leq(X25,n5)
| ~ gt(pv57,X24)
| a_select3(id_ds1_filter,X24,X25) = a_select3(id_ds1_filter,X25,X24) )
& ( ~ leq(n0,X22)
| ~ leq(n0,X23)
| ~ leq(X22,n5)
| ~ leq(X23,n5)
| X22 != pv57
| ~ gt(pv58,X23)
| a_select3(id_ds1_filter,X22,X23) = a_select3(id_ds1_filter,X23,X22) )
& ( ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5)
| a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ( ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n2)
| ~ leq(X19,n2)
| a_select3(r_ds1_filter,X18,X19) = a_select3(r_ds1_filter,X19,X18) )
& ( ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5)
| a_select3(q_ds1_filter,X16,X17) = a_select3(q_ds1_filter,X17,X16) )
& leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57) )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[197]) ).
fof(199,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( ~ leq(n0,X27)
| ~ leq(X27,n5)
| a_select3(id_ds1_filter,X26,X27) = a_select3(id_ds1_filter,X27,X26)
| ~ leq(n0,X26)
| ~ leq(X26,pred(pv57))
| ~ epred1_0 )
& ( ~ leq(n0,X24)
| ~ leq(n0,X25)
| ~ leq(X24,n5)
| ~ leq(X25,n5)
| ~ gt(pv57,X24)
| a_select3(id_ds1_filter,X24,X25) = a_select3(id_ds1_filter,X25,X24)
| ~ epred1_0 )
& ( ~ leq(n0,X22)
| ~ leq(n0,X23)
| ~ leq(X22,n5)
| ~ leq(X23,n5)
| X22 != pv57
| ~ gt(pv58,X23)
| a_select3(id_ds1_filter,X22,X23) = a_select3(id_ds1_filter,X23,X22)
| ~ epred1_0 )
& ( ~ leq(n0,X20)
| ~ leq(n0,X21)
| ~ leq(X20,n5)
| ~ leq(X21,n5)
| a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20)
| ~ epred1_0 )
& ( ~ leq(n0,X18)
| ~ leq(n0,X19)
| ~ leq(X18,n2)
| ~ leq(X19,n2)
| a_select3(r_ds1_filter,X18,X19) = a_select3(r_ds1_filter,X19,X18)
| ~ epred1_0 )
& ( ~ leq(n0,X16)
| ~ leq(n0,X17)
| ~ leq(X16,n5)
| ~ leq(X17,n5)
| a_select3(q_ds1_filter,X16,X17) = a_select3(q_ds1_filter,X17,X16)
| ~ epred1_0 )
& ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(n0,pv57)
| ~ epred1_0 )
& ( leq(pv5,n998)
| ~ epred1_0 )
& ( leq(pv57,n5)
| ~ epred1_0 )
& ( leq(pv58,n5)
| ~ epred1_0 )
& ( gt(pv58,pv57)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[198]) ).
cnf(202,plain,
( leq(pv57,n5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(210,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ epred1_0
| ~ gt(pv57,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(238,plain,
( leq(pv57,n5)
| $false ),
inference(rw,[status(thm)],[202,181,theory(equality)]) ).
cnf(239,plain,
leq(pv57,n5),
inference(cn,[status(thm)],[238,theory(equality)]) ).
cnf(283,plain,
( leq(X1,n5)
| ~ leq(X1,pv57) ),
inference(spm,[status(thm)],[78,239,theory(equality)]) ).
cnf(292,negated_conjecture,
gt(pv57,esk1_0),
inference(spm,[status(thm)],[123,179,theory(equality)]) ).
cnf(470,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| $false
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ gt(pv57,X1) ),
inference(rw,[status(thm)],[210,181,theory(equality)]) ).
cnf(471,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ gt(pv57,X1) ),
inference(cn,[status(thm)],[470,theory(equality)]) ).
cnf(473,plain,
( ~ gt(pv57,esk1_0)
| ~ leq(esk2_0,n5)
| ~ leq(esk1_0,n5)
| ~ leq(n0,esk2_0)
| ~ leq(n0,esk1_0) ),
inference(spm,[status(thm)],[174,471,theory(equality)]) ).
cnf(478,plain,
( ~ gt(pv57,esk1_0)
| $false
| ~ leq(esk1_0,n5)
| ~ leq(n0,esk2_0)
| ~ leq(n0,esk1_0) ),
inference(rw,[status(thm)],[473,177,theory(equality)]) ).
cnf(479,plain,
( ~ gt(pv57,esk1_0)
| $false
| ~ leq(esk1_0,n5)
| $false
| ~ leq(n0,esk1_0) ),
inference(rw,[status(thm)],[478,178,theory(equality)]) ).
cnf(480,plain,
( ~ gt(pv57,esk1_0)
| $false
| ~ leq(esk1_0,n5)
| $false
| $false ),
inference(rw,[status(thm)],[479,180,theory(equality)]) ).
cnf(481,plain,
( ~ gt(pv57,esk1_0)
| ~ leq(esk1_0,n5) ),
inference(cn,[status(thm)],[480,theory(equality)]) ).
cnf(618,negated_conjecture,
leq(esk1_0,pv57),
inference(spm,[status(thm)],[84,292,theory(equality)]) ).
cnf(620,plain,
( $false
| ~ leq(esk1_0,n5) ),
inference(rw,[status(thm)],[481,292,theory(equality)]) ).
cnf(621,plain,
~ leq(esk1_0,n5),
inference(cn,[status(thm)],[620,theory(equality)]) ).
cnf(683,negated_conjecture,
leq(esk1_0,n5),
inference(spm,[status(thm)],[283,618,theory(equality)]) ).
cnf(687,negated_conjecture,
$false,
inference(sr,[status(thm)],[683,621,theory(equality)]) ).
cnf(688,negated_conjecture,
$false,
687,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV221+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpMPAl7f/sel_SWV221+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV221+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV221+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV221+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
%
%------------------------------------------------------------------------------