TSTP Solution File: MSC010+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:51:31 EDT 2022
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 2 unt; 9 def)
% Number of atoms : 784 ( 163 equ)
% Maximal formula atoms : 68 ( 22 avg)
% Number of connectives : 988 ( 239 ~; 200 |; 464 &)
% ( 23 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 4 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 254 ( 0 sgn 173 !; 81 ?)
% Comments :
%------------------------------------------------------------------------------
fof(n1,axiom,
( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ) ).
fof(n91,conjecture,
~ ~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| pv63 = pv64
| ? [X19] :
( leq(X19,pred(pv63))
& leq(n0,X19)
& ? [X20] :
( a_select3(id_ds1_filter_init,X19,X20) != init
& leq(X20,n5)
& leq(n0,X20) ) )
| ? [X1,X2] :
( a_select3(h_ds1_filter_init,X1,X2) != init
& leq(X1,n2)
& leq(X2,n5)
& leq(n0,X1)
& leq(n0,X2) )
| ? [X10,X9] :
( a_select3(r_ds1_filter_init,X9,X10) != init
& leq(X10,n2)
& leq(X9,n2)
& leq(n0,X10)
& leq(n0,X9) )
| ? [X11,X12] :
( a_select3(xhatmin_ds1_filter_init,X11,X12) != init
& leq(X11,n5)
& leq(X12,n0)
& leq(n0,X11)
& leq(n0,X12) )
| ? [X13,X14] :
( a_select3(pminus_ds1_filter_init,X13,X14) != init
& leq(X13,n5)
& leq(X14,n5)
& leq(n0,X13)
& leq(n0,X14) )
| ! [X21,X22] :
( X21 != pv63
| ~ leq(X21,n5)
| ~ leq(X22,n5)
| ~ leq(X22,pv64)
| ~ leq(n0,X21)
| ~ leq(n0,X22)
| a_select3(id_ds1_filter_init,X21,X22) = init
| pv64 = X22 ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( ! [X11,X12] :
( ~ leq(X11,n5)
| ~ leq(X12,n0)
| ~ leq(n0,X11)
| ~ leq(n0,X12)
| a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ~ leq(X13,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X14)
| a_select3(pminus_ds1_filter_init,X13,X14) = init ) ) ) ).
fof(definition_2,definition,
! [X11,X12] :
( definitionFOFtoCNF_2(X11,X12)
<=> ( ~ leq(X11,n5)
| ~ leq(X12,n0)
| ~ leq(n0,X11)
| ~ leq(n0,X12)
| a_select3(xhatmin_ds1_filter_init,X11,X12) = init ) ) ).
fof(definition_3,definition,
! [X19] :
( definitionFOFtoCNF_3(X19)
<=> ( ~ leq(X19,pred(pv63))
| ~ leq(n0,X19)
| ! [X20] :
( ~ leq(X20,n5)
| ~ leq(n0,X20)
| a_select3(id_ds1_filter_init,X19,X20) = init ) ) ) ).
fof(definition_4,definition,
! [X1,X2] :
( definitionFOFtoCNF_4(X1,X2)
<=> ( ~ leq(X1,n2)
| ~ leq(X2,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(h_ds1_filter_init,X1,X2) = init ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_5
<=> ( ? [X15,X16] :
( a_select3(id_ds1_filter_init,X15,X16) != init
& X15 = pv63
& gt(pv64,X16)
& leq(X15,n5)
& leq(X16,n5)
& leq(n0,X15)
& leq(n0,X16) )
| ? [X17,X18] :
( a_select3(id_ds1_filter_init,X17,X18) != init
& gt(pv63,X17)
& leq(X17,n5)
& leq(X18,n5)
& leq(n0,X17)
& leq(n0,X18) ) ) ) ).
fof(definition_6,definition,
! [X17,X18] :
( definitionFOFtoCNF_6(X17,X18)
<=> ( ~ gt(pv63,X17)
| ~ leq(X17,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X18)
| a_select3(id_ds1_filter_init,X17,X18) = init ) ) ).
fof(definition_7,definition,
! [X3,X4] :
( definitionFOFtoCNF_7(X3,X4)
<=> ( a_select3(phi_ds1_filter_init,X3,X4) != init
& leq(X3,n5)
& leq(X4,n5)
& leq(n0,X3)
& leq(n0,X4) ) ) ).
fof(definition_8,definition,
! [X5,X6] :
( definitionFOFtoCNF_8(X5,X6)
<=> ( a_select3(dv_ds1_filter_init,X5,X6) != init
& leq(X5,n5)
& leq(X6,n0)
& leq(n0,X5)
& leq(n0,X6) ) ) ).
fof(subgoal_0,plain,
( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5)
& pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ),
inference(strip,[],[n91]) ).
fof(negate_0_0,plain,
~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5)
& pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ? [X21,X22] :
( a_select3(id_ds1_filter_init,X21,X22) != init
& pv64 != X22
& X21 = pv63
& leq(X21,n5)
& leq(X22,n5)
& leq(X22,pv64)
& leq(n0,X21)
& leq(n0,X22) )
& ! [X19] :
( ~ leq(X19,pred(pv63))
| ~ leq(n0,X19)
| ! [X20] :
( ~ leq(X20,n5)
| ~ leq(n0,X20)
| a_select3(id_ds1_filter_init,X19,X20) = init ) )
& ! [X1,X2] :
( ~ leq(X1,n2)
| ~ leq(X2,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X10,X9] :
( ~ leq(X10,n2)
| ~ leq(X9,n2)
| ~ leq(n0,X10)
| ~ leq(n0,X9)
| a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ~ leq(X11,n5)
| ~ leq(X12,n0)
| ~ leq(n0,X11)
| ~ leq(n0,X12)
| a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ~ leq(X13,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X14)
| a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( X15 != pv63
| ~ gt(pv64,X16)
| ~ leq(X15,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X16)
| a_select3(id_ds1_filter_init,X15,X16) = init )
& ! [X17,X18] :
( ~ gt(pv63,X17)
| ~ leq(X17,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X18)
| a_select3(id_ds1_filter_init,X17,X18) = init )
& ! [X3,X4] :
( ~ leq(X3,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X4)
| a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ~ leq(X5,n5)
| ~ leq(X6,n0)
| ~ leq(n0,X5)
| ~ leq(n0,X6)
| a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ~ leq(X7,n5)
| ~ leq(X8,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X8)
| a_select3(q_ds1_filter_init,X7,X8) = init ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ leq(n0,pv5)
| ~ leq(n0,pv63)
| ~ leq(n0,pv64)
| ~ leq(pv5,n998)
| ~ leq(pv63,n5)
| ~ leq(pv64,n5)
| pv63 = pv64
| ? [X19] :
( leq(X19,pred(pv63))
& leq(n0,X19)
& ? [X20] :
( a_select3(id_ds1_filter_init,X19,X20) != init
& leq(X20,n5)
& leq(n0,X20) ) )
| ? [X1,X2] :
( a_select3(h_ds1_filter_init,X1,X2) != init
& leq(X1,n2)
& leq(X2,n5)
& leq(n0,X1)
& leq(n0,X2) )
| ? [X10,X9] :
( a_select3(r_ds1_filter_init,X9,X10) != init
& leq(X10,n2)
& leq(X9,n2)
& leq(n0,X10)
& leq(n0,X9) )
| ? [X11,X12] :
( a_select3(xhatmin_ds1_filter_init,X11,X12) != init
& leq(X11,n5)
& leq(X12,n0)
& leq(n0,X11)
& leq(n0,X12) )
| ? [X13,X14] :
( a_select3(pminus_ds1_filter_init,X13,X14) != init
& leq(X13,n5)
& leq(X14,n5)
& leq(n0,X13)
& leq(n0,X14) )
| ? [X15,X16] :
( a_select3(id_ds1_filter_init,X15,X16) != init
& X15 = pv63
& gt(pv64,X16)
& leq(X15,n5)
& leq(X16,n5)
& leq(n0,X15)
& leq(n0,X16) )
| ? [X17,X18] :
( a_select3(id_ds1_filter_init,X17,X18) != init
& gt(pv63,X17)
& leq(X17,n5)
& leq(X18,n5)
& leq(n0,X17)
& leq(n0,X18) )
| ? [X3,X4] :
( a_select3(phi_ds1_filter_init,X3,X4) != init
& leq(X3,n5)
& leq(X4,n5)
& leq(n0,X3)
& leq(n0,X4) )
| ? [X5,X6] :
( a_select3(dv_ds1_filter_init,X5,X6) != init
& leq(X5,n5)
& leq(X6,n0)
& leq(n0,X5)
& leq(n0,X6) )
| ? [X7,X8] :
( a_select3(q_ds1_filter_init,X7,X8) != init
& leq(X7,n5)
& leq(X8,n5)
& leq(n0,X7)
& leq(n0,X8) )
| ! [X21,X22] :
( X21 != pv63
| ~ leq(X21,n5)
| ~ leq(X22,n5)
| ~ leq(X22,pv64)
| ~ leq(n0,X21)
| ~ leq(n0,X22)
| a_select3(id_ds1_filter_init,X21,X22) = init
| pv64 = X22 ) ),
inference(canonicalize,[],[n1]) ).
fof(normalize_0_2,plain,
( ~ definitionFOFtoCNF_0
<=> ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ? [X21,X22] :
( a_select3(id_ds1_filter_init,X21,X22) != init
& pv64 != X22
& X21 = pv63
& leq(X21,n5)
& leq(X22,n5)
& leq(X22,pv64)
& leq(n0,X21)
& leq(n0,X22) )
& ! [X19] :
( ~ leq(X19,pred(pv63))
| ~ leq(n0,X19)
| ! [X20] :
( ~ leq(X20,n5)
| ~ leq(n0,X20)
| a_select3(id_ds1_filter_init,X19,X20) = init ) )
& ! [X1,X2] :
( ~ leq(X1,n2)
| ~ leq(X2,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X10,X9] :
( ~ leq(X10,n2)
| ~ leq(X9,n2)
| ~ leq(n0,X10)
| ~ leq(n0,X9)
| a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ~ leq(X11,n5)
| ~ leq(X12,n0)
| ~ leq(n0,X11)
| ~ leq(n0,X12)
| a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ~ leq(X13,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X14)
| a_select3(pminus_ds1_filter_init,X13,X14) = init ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_3,plain,
( ~ definitionFOFtoCNF_1
<=> ( ? [X11,X12] :
( a_select3(xhatmin_ds1_filter_init,X11,X12) != init
& leq(X11,n5)
& leq(X12,n0)
& leq(n0,X11)
& leq(n0,X12) )
| ? [X13,X14] :
( a_select3(pminus_ds1_filter_init,X13,X14) != init
& leq(X13,n5)
& leq(X14,n5)
& leq(n0,X13)
& leq(n0,X14) ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_4,plain,
! [X11,X12] :
( ~ definitionFOFtoCNF_2(X11,X12)
<=> ( a_select3(xhatmin_ds1_filter_init,X11,X12) != init
& leq(X11,n5)
& leq(X12,n0)
& leq(n0,X11)
& leq(n0,X12) ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_5,plain,
( ~ definitionFOFtoCNF_1
<=> ( ? [X11,X12] : ~ definitionFOFtoCNF_2(X11,X12)
| ? [X13,X14] :
( a_select3(pminus_ds1_filter_init,X13,X14) != init
& leq(X13,n5)
& leq(X14,n5)
& leq(n0,X13)
& leq(n0,X14) ) ) ),
inference(simplify,[],[normalize_0_3,normalize_0_4]) ).
fof(normalize_0_6,plain,
( ~ definitionFOFtoCNF_0
<=> ( pv63 != pv64
& definitionFOFtoCNF_1
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ? [X21,X22] :
( a_select3(id_ds1_filter_init,X21,X22) != init
& pv64 != X22
& X21 = pv63
& leq(X21,n5)
& leq(X22,n5)
& leq(X22,pv64)
& leq(n0,X21)
& leq(n0,X22) )
& ! [X19] :
( ~ leq(X19,pred(pv63))
| ~ leq(n0,X19)
| ! [X20] :
( ~ leq(X20,n5)
| ~ leq(n0,X20)
| a_select3(id_ds1_filter_init,X19,X20) = init ) )
& ! [X1,X2] :
( ~ leq(X1,n2)
| ~ leq(X2,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X10,X9] :
( ~ leq(X10,n2)
| ~ leq(X9,n2)
| ~ leq(n0,X10)
| ~ leq(n0,X9)
| a_select3(r_ds1_filter_init,X9,X10) = init ) ) ),
inference(simplify,[],[normalize_0_2,normalize_0_5,normalize_0_4]) ).
fof(normalize_0_7,plain,
! [X19] :
( ~ definitionFOFtoCNF_3(X19)
<=> ( leq(X19,pred(pv63))
& leq(n0,X19)
& ? [X20] :
( a_select3(id_ds1_filter_init,X19,X20) != init
& leq(X20,n5)
& leq(n0,X20) ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_0_8,plain,
( ~ definitionFOFtoCNF_0
<=> ( pv63 != pv64
& definitionFOFtoCNF_1
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ? [X21,X22] :
( a_select3(id_ds1_filter_init,X21,X22) != init
& pv64 != X22
& X21 = pv63
& leq(X21,n5)
& leq(X22,n5)
& leq(X22,pv64)
& leq(n0,X21)
& leq(n0,X22) )
& ! [X19] : definitionFOFtoCNF_3(X19)
& ! [X1,X2] :
( ~ leq(X1,n2)
| ~ leq(X2,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X10,X9] :
( ~ leq(X10,n2)
| ~ leq(X9,n2)
| ~ leq(n0,X10)
| ~ leq(n0,X9)
| a_select3(r_ds1_filter_init,X9,X10) = init ) ) ),
inference(simplify,[],[normalize_0_6,normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X1,X2] :
( ~ definitionFOFtoCNF_4(X1,X2)
<=> ( a_select3(h_ds1_filter_init,X1,X2) != init
& leq(X1,n2)
& leq(X2,n5)
& leq(n0,X1)
& leq(n0,X2) ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_0_10,plain,
( ~ definitionFOFtoCNF_0
<=> ( pv63 != pv64
& definitionFOFtoCNF_1
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ? [X21,X22] :
( a_select3(id_ds1_filter_init,X21,X22) != init
& pv64 != X22
& X21 = pv63
& leq(X21,n5)
& leq(X22,n5)
& leq(X22,pv64)
& leq(n0,X21)
& leq(n0,X22) )
& ! [X19] : definitionFOFtoCNF_3(X19)
& ! [X1,X2] : definitionFOFtoCNF_4(X1,X2)
& ! [X10,X9] :
( ~ leq(X10,n2)
| ~ leq(X9,n2)
| ~ leq(n0,X10)
| ~ leq(n0,X9)
| a_select3(r_ds1_filter_init,X9,X10) = init ) ) ),
inference(simplify,[],[normalize_0_8,normalize_0_9]) ).
fof(normalize_0_11,plain,
( definitionFOFtoCNF_0
| ? [X15,X16] :
( a_select3(id_ds1_filter_init,X15,X16) != init
& X15 = pv63
& gt(pv64,X16)
& leq(X15,n5)
& leq(X16,n5)
& leq(n0,X15)
& leq(n0,X16) )
| ? [X17,X18] :
( a_select3(id_ds1_filter_init,X17,X18) != init
& gt(pv63,X17)
& leq(X17,n5)
& leq(X18,n5)
& leq(n0,X17)
& leq(n0,X18) )
| ? [X3,X4] :
( a_select3(phi_ds1_filter_init,X3,X4) != init
& leq(X3,n5)
& leq(X4,n5)
& leq(n0,X3)
& leq(n0,X4) )
| ? [X5,X6] :
( a_select3(dv_ds1_filter_init,X5,X6) != init
& leq(X5,n5)
& leq(X6,n0)
& leq(n0,X5)
& leq(n0,X6) )
| ? [X7,X8] :
( a_select3(q_ds1_filter_init,X7,X8) != init
& leq(X7,n5)
& leq(X8,n5)
& leq(n0,X7)
& leq(n0,X8) ) ),
inference(simplify,[],[normalize_0_1,normalize_0_10,normalize_0_5,normalize_0_7,normalize_0_9,normalize_0_4]) ).
fof(normalize_0_12,plain,
( ~ definitionFOFtoCNF_5
<=> ( ! [X15,X16] :
( X15 != pv63
| ~ gt(pv64,X16)
| ~ leq(X15,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X16)
| a_select3(id_ds1_filter_init,X15,X16) = init )
& ! [X17,X18] :
( ~ gt(pv63,X17)
| ~ leq(X17,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X18)
| a_select3(id_ds1_filter_init,X17,X18) = init ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_0_13,plain,
! [X17,X18] :
( ~ definitionFOFtoCNF_6(X17,X18)
<=> ( a_select3(id_ds1_filter_init,X17,X18) != init
& gt(pv63,X17)
& leq(X17,n5)
& leq(X18,n5)
& leq(n0,X17)
& leq(n0,X18) ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_0_14,plain,
( ~ definitionFOFtoCNF_5
<=> ( ! [X15,X16] :
( X15 != pv63
| ~ gt(pv64,X16)
| ~ leq(X15,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X16)
| a_select3(id_ds1_filter_init,X15,X16) = init )
& ! [X17,X18] : definitionFOFtoCNF_6(X17,X18) ) ),
inference(simplify,[],[normalize_0_12,normalize_0_13]) ).
fof(normalize_0_15,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_5
| ? [X3,X4] :
( a_select3(phi_ds1_filter_init,X3,X4) != init
& leq(X3,n5)
& leq(X4,n5)
& leq(n0,X3)
& leq(n0,X4) )
| ? [X5,X6] :
( a_select3(dv_ds1_filter_init,X5,X6) != init
& leq(X5,n5)
& leq(X6,n0)
& leq(n0,X5)
& leq(n0,X6) )
| ? [X7,X8] :
( a_select3(q_ds1_filter_init,X7,X8) != init
& leq(X7,n5)
& leq(X8,n5)
& leq(n0,X7)
& leq(n0,X8) ) ),
inference(simplify,[],[normalize_0_11,normalize_0_14,normalize_0_13]) ).
fof(normalize_0_16,plain,
! [X3,X4] :
( ~ definitionFOFtoCNF_7(X3,X4)
<=> ( ~ leq(X3,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X4)
| a_select3(phi_ds1_filter_init,X3,X4) = init ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_0_17,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_5
| ? [X3,X4] : definitionFOFtoCNF_7(X3,X4)
| ? [X5,X6] :
( a_select3(dv_ds1_filter_init,X5,X6) != init
& leq(X5,n5)
& leq(X6,n0)
& leq(n0,X5)
& leq(n0,X6) )
| ? [X7,X8] :
( a_select3(q_ds1_filter_init,X7,X8) != init
& leq(X7,n5)
& leq(X8,n5)
& leq(n0,X7)
& leq(n0,X8) ) ),
inference(simplify,[],[normalize_0_15,normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X5,X6] :
( ~ definitionFOFtoCNF_8(X5,X6)
<=> ( ~ leq(X5,n5)
| ~ leq(X6,n0)
| ~ leq(n0,X5)
| ~ leq(n0,X6)
| a_select3(dv_ds1_filter_init,X5,X6) = init ) ),
inference(canonicalize,[],[definition_8]) ).
fof(normalize_0_19,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_5
| ? [X3,X4] : definitionFOFtoCNF_7(X3,X4)
| ? [X5,X6] : definitionFOFtoCNF_8(X5,X6)
| ? [X7,X8] :
( a_select3(q_ds1_filter_init,X7,X8) != init
& leq(X7,n5)
& leq(X8,n5)
& leq(n0,X7)
& leq(n0,X8) ) ),
inference(simplify,[],[normalize_0_17,normalize_0_18]) ).
fof(normalize_0_20,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_19,normalize_0_14,normalize_0_10,normalize_0_5,normalize_0_7,normalize_0_9,normalize_0_4,normalize_0_13,normalize_0_16,normalize_0_18]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 1 15:54:38 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.43
%------------------------------------------------------------------------------