TSTP Solution File: SWV404+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV404+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 12:39:06 EST 2010
% Result : Theorem 2.37s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 10
% Syntax : Number of formulae : 85 ( 15 unt; 0 def)
% Number of atoms : 250 ( 70 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 229 ( 64 ~; 131 |; 23 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 162 ( 33 sgn 90 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& contains_slb(X2,findmin_pqp_res(X1))
& less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),X3) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',ax49) ).
fof(2,axiom,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& contains_slb(X2,findmin_pqp_res(X1))
& strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',ax48) ).
fof(12,axiom,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& ~ contains_slb(X2,findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',ax47) ).
fof(15,axiom,
! [X1] : removemin_cpq_eff(X1) = remove_cpq(findmin_cpq_eff(X1),findmin_cpq_res(X1)),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',ax52) ).
fof(16,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',totality) ).
fof(17,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',stricly_smaller_definition) ).
fof(21,axiom,
! [X1,X2] : check_cpq(triple(X1,create_slb,X2)),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',ax36) ).
fof(28,axiom,
! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',l40_l34) ).
fof(29,axiom,
! [X1,X2,X3,X4] :
( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> check_cpq(triple(X1,X2,X3)) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',l40_l27) ).
fof(30,conjecture,
! [X1,X2,X3] :
( ( check_cpq(removemin_cpq_eff(triple(X1,X2,X3)))
& ok(removemin_cpq_eff(triple(X1,X2,X3))) )
=> check_cpq(triple(X1,X2,X3)) ),
file('/tmp/tmp4jrseh/sel_SWV404+1.p_1',l40_co) ).
fof(31,negated_conjecture,
~ ! [X1,X2,X3] :
( ( check_cpq(removemin_cpq_eff(triple(X1,X2,X3)))
& ok(removemin_cpq_eff(triple(X1,X2,X3))) )
=> check_cpq(triple(X1,X2,X3)) ),
inference(assume_negation,[status(cth)],[30]) ).
fof(35,plain,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& ~ contains_slb(X2,findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(36,plain,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(37,plain,
! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(38,plain,
! [X1,X2,X3,X4] :
( X2 = create_slb
| ~ contains_slb(X2,findmin_pqp_res(X1))
| ~ less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),X3) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(39,plain,
! [X5,X6,X7,X8] :
( X6 = create_slb
| ~ contains_slb(X6,findmin_pqp_res(X5))
| ~ less_than(lookup_slb(X6,findmin_pqp_res(X5)),findmin_pqp_res(X5))
| findmin_cpq_eff(triple(X5,X6,X7)) = triple(X5,update_slb(X6,findmin_pqp_res(X5)),X7) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),X3)
| X2 = create_slb
| ~ less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| ~ contains_slb(X2,findmin_pqp_res(X1)) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X1,X2,X3,X4] :
( X2 = create_slb
| ~ contains_slb(X2,findmin_pqp_res(X1))
| ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1)))
| findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(42,plain,
! [X5,X6,X7,X8] :
( X6 = create_slb
| ~ contains_slb(X6,findmin_pqp_res(X5))
| ~ strictly_less_than(findmin_pqp_res(X5),lookup_slb(X6,findmin_pqp_res(X5)))
| findmin_cpq_eff(triple(X5,X6,X7)) = triple(X5,update_slb(X6,findmin_pqp_res(X5)),bad) ),
inference(variable_rename,[status(thm)],[41]) ).
cnf(43,plain,
( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)
| X2 = create_slb
| ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1)))
| ~ contains_slb(X2,findmin_pqp_res(X1)) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(72,plain,
! [X1,X2,X3,X4] :
( X2 = create_slb
| contains_slb(X2,findmin_pqp_res(X1))
| findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(73,plain,
! [X5,X6,X7,X8] :
( X6 = create_slb
| contains_slb(X6,findmin_pqp_res(X5))
| findmin_cpq_eff(triple(X5,X6,X7)) = triple(X5,update_slb(X6,findmin_pqp_res(X5)),bad) ),
inference(variable_rename,[status(thm)],[72]) ).
cnf(74,plain,
( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)
| contains_slb(X2,findmin_pqp_res(X1))
| X2 = create_slb ),
inference(split_conjunct,[status(thm)],[73]) ).
fof(79,plain,
! [X2] : removemin_cpq_eff(X2) = remove_cpq(findmin_cpq_eff(X2),findmin_cpq_res(X2)),
inference(variable_rename,[status(thm)],[15]) ).
cnf(80,plain,
removemin_cpq_eff(X1) = remove_cpq(findmin_cpq_eff(X1),findmin_cpq_res(X1)),
inference(split_conjunct,[status(thm)],[79]) ).
fof(81,plain,
! [X3,X4] :
( less_than(X3,X4)
| less_than(X4,X3) ),
inference(variable_rename,[status(thm)],[16]) ).
cnf(82,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(83,plain,
! [X1,X2] :
( ( ~ strictly_less_than(X1,X2)
| ( less_than(X1,X2)
& ~ less_than(X2,X1) ) )
& ( ~ less_than(X1,X2)
| less_than(X2,X1)
| strictly_less_than(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(84,plain,
! [X3,X4] :
( ( ~ strictly_less_than(X3,X4)
| ( less_than(X3,X4)
& ~ less_than(X4,X3) ) )
& ( ~ less_than(X3,X4)
| less_than(X4,X3)
| strictly_less_than(X3,X4) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X3,X4] :
( ( less_than(X3,X4)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X4,X3)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X3,X4)
| less_than(X4,X3)
| strictly_less_than(X3,X4) ) ),
inference(distribute,[status(thm)],[84]) ).
cnf(86,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(97,plain,
! [X3,X4] : check_cpq(triple(X3,create_slb,X4)),
inference(variable_rename,[status(thm)],[21]) ).
cnf(98,plain,
check_cpq(triple(X1,create_slb,X2)),
inference(split_conjunct,[status(thm)],[97]) ).
fof(121,plain,
! [X1,X2,X3] :
( check_cpq(triple(X1,X2,X3))
| ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(122,plain,
! [X4,X5,X6] :
( check_cpq(triple(X4,X5,X6))
| ~ check_cpq(findmin_cpq_eff(triple(X4,X5,X6))) ),
inference(variable_rename,[status(thm)],[121]) ).
cnf(123,plain,
( check_cpq(triple(X1,X2,X3))
| ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[122]) ).
fof(124,plain,
! [X1,X2,X3,X4] :
( ~ check_cpq(remove_cpq(triple(X1,X2,X3),X4))
| ~ ok(remove_cpq(triple(X1,X2,X3),X4))
| check_cpq(triple(X1,X2,X3)) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(125,plain,
! [X5,X6,X7,X8] :
( ~ check_cpq(remove_cpq(triple(X5,X6,X7),X8))
| ~ ok(remove_cpq(triple(X5,X6,X7),X8))
| check_cpq(triple(X5,X6,X7)) ),
inference(variable_rename,[status(thm)],[124]) ).
cnf(126,plain,
( check_cpq(triple(X1,X2,X3))
| ~ ok(remove_cpq(triple(X1,X2,X3),X4))
| ~ check_cpq(remove_cpq(triple(X1,X2,X3),X4)) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(127,negated_conjecture,
? [X1,X2,X3] :
( check_cpq(removemin_cpq_eff(triple(X1,X2,X3)))
& ok(removemin_cpq_eff(triple(X1,X2,X3)))
& ~ check_cpq(triple(X1,X2,X3)) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(128,negated_conjecture,
? [X4,X5,X6] :
( check_cpq(removemin_cpq_eff(triple(X4,X5,X6)))
& ok(removemin_cpq_eff(triple(X4,X5,X6)))
& ~ check_cpq(triple(X4,X5,X6)) ),
inference(variable_rename,[status(thm)],[127]) ).
fof(129,negated_conjecture,
( check_cpq(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
& ok(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
& ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)) ),
inference(skolemize,[status(esa)],[128]) ).
cnf(130,negated_conjecture,
~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(131,negated_conjecture,
ok(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(132,negated_conjecture,
check_cpq(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(133,negated_conjecture,
ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))),
inference(rw,[status(thm)],[131,80,theory(equality)]),
[unfolding] ).
cnf(134,negated_conjecture,
check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))),
inference(rw,[status(thm)],[132,80,theory(equality)]),
[unfolding] ).
cnf(146,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[86,82]) ).
cnf(171,plain,
( check_cpq(findmin_cpq_eff(triple(X1,X2,X4)))
| create_slb = X2
| contains_slb(X2,findmin_pqp_res(X1))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(X1,X2,X4)),X3))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(X1,X2,X4)),X3)) ),
inference(spm,[status(thm)],[126,74,theory(equality)]) ).
cnf(192,plain,
( triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) = findmin_cpq_eff(triple(X1,X2,X3))
| create_slb = X2
| ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))) ),
inference(csr,[status(thm)],[43,74]) ).
cnf(194,plain,
( triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) = findmin_cpq_eff(triple(X1,X2,X3))
| create_slb = X2
| less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
inference(spm,[status(thm)],[192,146,theory(equality)]) ).
cnf(501,negated_conjecture,
( create_slb = esk2_0
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[171,133,theory(equality)]) ).
cnf(511,negated_conjecture,
( create_slb = esk2_0
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0))
| $false ),
inference(rw,[status(thm)],[501,134,theory(equality)]) ).
cnf(512,negated_conjecture,
( create_slb = esk2_0
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(cn,[status(thm)],[511,theory(equality)]) ).
cnf(523,negated_conjecture,
( check_cpq(triple(esk1_0,esk2_0,esk3_0))
| esk2_0 = create_slb
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[123,512,theory(equality)]) ).
cnf(526,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(sr,[status(thm)],[523,130,theory(equality)]) ).
cnf(1697,plain,
( check_cpq(triple(X1,X2,X3))
| create_slb = X2
| less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| ~ check_cpq(triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)) ),
inference(spm,[status(thm)],[123,194,theory(equality)]) ).
cnf(1775,plain,
( findmin_cpq_eff(triple(X1,X2,X4)) = findmin_cpq_eff(triple(X1,X2,X3))
| create_slb = X2
| less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
inference(spm,[status(thm)],[194,194,theory(equality)]) ).
cnf(7231,negated_conjecture,
( ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| create_slb = esk2_0
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[133,1775,theory(equality)]) ).
cnf(7233,negated_conjecture,
( check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| create_slb = esk2_0
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[134,1775,theory(equality)]) ).
cnf(7240,plain,
( check_cpq(triple(X1,X2,X3))
| create_slb = X2
| less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X4))) ),
inference(spm,[status(thm)],[123,1775,theory(equality)]) ).
cnf(7503,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[7231,194,theory(equality)]) ).
cnf(7805,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(remove_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[7233,194,theory(equality)]) ).
cnf(8623,negated_conjecture,
( check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| esk2_0 = create_slb
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))
| ~ check_cpq(remove_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[126,7503,theory(equality)]) ).
cnf(24512,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(csr,[status(thm)],[8623,7805]) ).
cnf(24514,negated_conjecture,
( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
| create_slb = esk2_0
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| ~ contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[40,24512,theory(equality)]) ).
cnf(25314,negated_conjecture,
( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
| esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad)) ),
inference(csr,[status(thm)],[24514,526]) ).
cnf(25319,negated_conjecture,
( check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
| esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),X2))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),X2)) ),
inference(spm,[status(thm)],[126,25314,theory(equality)]) ).
cnf(25494,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[25319,133,theory(equality)]) ).
cnf(25527,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| $false ),
inference(rw,[status(thm)],[25494,134,theory(equality)]) ).
cnf(25528,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[25527,theory(equality)]) ).
cnf(25536,negated_conjecture,
( create_slb = esk2_0
| check_cpq(triple(esk1_0,esk2_0,X1))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[1697,25528,theory(equality)]) ).
cnf(25542,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,esk2_0,X1))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(csr,[status(thm)],[25536,7240]) ).
cnf(25544,negated_conjecture,
( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
| create_slb = esk2_0
| check_cpq(triple(esk1_0,esk2_0,X2))
| ~ contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[40,25542,theory(equality)]) ).
cnf(26354,negated_conjecture,
( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
| esk2_0 = create_slb
| check_cpq(triple(esk1_0,esk2_0,X2)) ),
inference(csr,[status(thm)],[25544,526]) ).
cnf(26360,negated_conjecture,
( check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
| esk2_0 = create_slb
| check_cpq(triple(esk1_0,esk2_0,X3))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),X2))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),X2)) ),
inference(spm,[status(thm)],[126,26354,theory(equality)]) ).
cnf(26706,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| check_cpq(triple(esk1_0,esk2_0,X1))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[26360,133,theory(equality)]) ).
cnf(26739,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| check_cpq(triple(esk1_0,esk2_0,X1))
| $false ),
inference(rw,[status(thm)],[26706,134,theory(equality)]) ).
cnf(26740,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
| check_cpq(triple(esk1_0,esk2_0,X1)) ),
inference(cn,[status(thm)],[26739,theory(equality)]) ).
cnf(26743,negated_conjecture,
( check_cpq(triple(esk1_0,esk2_0,esk3_0))
| esk2_0 = create_slb
| check_cpq(triple(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[123,26740,theory(equality)]) ).
cnf(26759,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[26743,130,theory(equality)]) ).
cnf(26762,negated_conjecture,
esk2_0 = create_slb,
inference(spm,[status(thm)],[130,26759,theory(equality)]) ).
cnf(26767,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[130,26762,theory(equality)]),98,theory(equality)]) ).
cnf(26768,negated_conjecture,
$false,
inference(cn,[status(thm)],[26767,theory(equality)]) ).
cnf(26769,negated_conjecture,
$false,
26768,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV404+1.p
% --creating new selector for [SWV007+0.ax, SWV007+2.ax, SWV007+3.ax]
% -running prover on /tmp/tmp4jrseh/sel_SWV404+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV404+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV404+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV404+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
%
%------------------------------------------------------------------------------