TSTP Solution File: SWV115+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : 300s
% DateTime : Thu Aug 31 22:31:12 EDT 2023
% Result : Theorem 4.06s 1.18s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 125 ( 9 unt; 0 def)
% Number of atoms : 865 ( 137 equ)
% Maximal formula atoms : 54 ( 6 avg)
% Number of connectives : 1078 ( 338 ~; 380 |; 315 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-3 aty)
% Number of variables : 203 ( 0 sgn; 118 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X4] :
( ( leq(X4,minus(n6,n1))
& leq(n0,X4) )
=> ! [X10] :
( ( leq(X10,minus(n6,n1))
& leq(n0,X10) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X33] :
( ( leq(X33,minus(n6,n1))
& leq(n0,X33) )
=> ! [X34] :
( ( leq(X34,minus(n6,n1))
& leq(n0,X34) )
=> a_select3(id_ds1_filter,X33,X34) = a_select3(id_ds1_filter,X34,X33) ) )
& ! [X31,X32] :
( ( leq(X32,minus(n6,n1))
& leq(X31,minus(n6,n1))
& leq(n0,X32)
& leq(n0,X31) )
=> a_select3(pminus_ds1_filter,X31,X32) = a_select3(pminus_ds1_filter,X32,X31) )
& ! [X29,X30] :
( ( leq(X30,minus(n6,n1))
& leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X18,X14] :
( ( leq(X14,minus(n3,n1))
& leq(X18,minus(n3,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0008) ).
fof(f54,negated_conjecture,
~ ( ( ! [X4] :
( ( leq(X4,minus(n6,n1))
& leq(n0,X4) )
=> ! [X10] :
( ( leq(X10,minus(n6,n1))
& leq(n0,X10) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X33] :
( ( leq(X33,minus(n6,n1))
& leq(n0,X33) )
=> ! [X34] :
( ( leq(X34,minus(n6,n1))
& leq(n0,X34) )
=> a_select3(id_ds1_filter,X33,X34) = a_select3(id_ds1_filter,X34,X33) ) )
& ! [X31,X32] :
( ( leq(X32,minus(n6,n1))
& leq(X31,minus(n6,n1))
& leq(n0,X32)
& leq(n0,X31) )
=> a_select3(pminus_ds1_filter,X31,X32) = a_select3(pminus_ds1_filter,X32,X31) )
& ! [X29,X30] :
( ( leq(X30,minus(n6,n1))
& leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X18,X14] :
( ( leq(X14,minus(n3,n1))
& leq(X18,minus(n3,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f124,plain,
~ ( ( ! [X0] :
( ( leq(X0,minus(n6,n1))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ) )
& ! [X2,X3] :
( ( leq(X3,minus(n6,n1))
& leq(X2,minus(n6,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(X7,minus(n3,n1))
& leq(X6,minus(n3,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ( leq(X9,minus(n6,n1))
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X10] :
( ( leq(X10,minus(n6,n1))
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,minus(n6,n1))
& leq(n0,X11) )
=> a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X12,X13] :
( ( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(pminus_ds1_filter,X12,X13) = a_select3(pminus_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X16,X17] :
( ( leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
=> a_select3(r_ds1_filter,X16,X17) = a_select3(r_ds1_filter,X17,X16) )
& ! [X18,X19] :
( ( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
=> a_select3(q_ds1_filter,X18,X19) = a_select3(q_ds1_filter,X19,X18) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(rectify,[],[f54]) ).
fof(f166,plain,
( ( ? [X10] :
( ? [X11] :
( a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11) )
& leq(X10,minus(n6,n1))
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(ennf_transformation,[],[f124]) ).
fof(f167,plain,
( ( ? [X10] :
( ? [X11] :
( a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11) )
& leq(X10,minus(n6,n1))
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(flattening,[],[f166]) ).
fof(f189,plain,
( ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f190,plain,
( ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f191,plain,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f192,plain,
( ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f193,plain,
( ( ? [X10] :
( ? [X11] :
( a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11) )
& leq(X10,minus(n6,n1))
& leq(n0,X10) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(definition_folding,[],[f167,f192,f191,f190,f189]) ).
fof(f241,plain,
( ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP7 ),
inference(nnf_transformation,[],[f192]) ).
fof(f242,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP7 ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(pminus_ds1_filter,sK35,sK36) != a_select3(pminus_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,minus(n6,n1))
& leq(n0,sK36)
& leq(n0,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
( ( a_select3(pminus_ds1_filter,sK35,sK36) != a_select3(pminus_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,minus(n6,n1))
& leq(n0,sK36)
& leq(n0,sK35) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f242,f243]) ).
fof(f245,plain,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP6 ),
inference(nnf_transformation,[],[f191]) ).
fof(f246,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP6 ),
inference(rectify,[],[f245]) ).
fof(f247,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
& leq(sK38,minus(n6,n1))
& leq(sK37,minus(n6,n1))
& leq(n0,sK38)
& leq(n0,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
( ( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
& leq(sK38,minus(n6,n1))
& leq(sK37,minus(n6,n1))
& leq(n0,sK38)
& leq(n0,sK37) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f246,f247]) ).
fof(f249,plain,
( ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP5 ),
inference(nnf_transformation,[],[f190]) ).
fof(f250,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f249]) ).
fof(f251,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(r_ds1_filter,sK39,sK40) != a_select3(r_ds1_filter,sK40,sK39)
& leq(sK40,minus(n3,n1))
& leq(sK39,minus(n3,n1))
& leq(n0,sK40)
& leq(n0,sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ( a_select3(r_ds1_filter,sK39,sK40) != a_select3(r_ds1_filter,sK40,sK39)
& leq(sK40,minus(n3,n1))
& leq(sK39,minus(n3,n1))
& leq(n0,sK40)
& leq(n0,sK39) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f250,f251]) ).
fof(f253,plain,
( ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ sP4 ),
inference(nnf_transformation,[],[f189]) ).
fof(f254,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP4 ),
inference(rectify,[],[f253]) ).
fof(f255,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(q_ds1_filter,sK41,sK42) != a_select3(q_ds1_filter,sK42,sK41)
& leq(sK42,minus(n6,n1))
& leq(sK41,minus(n6,n1))
& leq(n0,sK42)
& leq(n0,sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ( a_select3(q_ds1_filter,sK41,sK42) != a_select3(q_ds1_filter,sK42,sK41)
& leq(sK42,minus(n6,n1))
& leq(sK41,minus(n6,n1))
& leq(n0,sK42)
& leq(n0,sK41) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42])],[f254,f255]) ).
fof(f257,plain,
( ( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [X2] :
( ! [X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)
| ~ leq(X9,minus(n3,n1))
| ~ leq(X8,minus(n3,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(X10,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(rectify,[],[f193]) ).
fof(f258,plain,
( ? [X0] :
( ? [X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(X0,minus(n6,n1))
& leq(n0,X0) )
=> ( ? [X1] :
( a_select3(id_ds1_filter,sK43,X1) != a_select3(id_ds1_filter,X1,sK43)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK43,minus(n6,n1))
& leq(n0,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK43,X1) != a_select3(id_ds1_filter,X1,sK43)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK43,sK44) != a_select3(id_ds1_filter,sK44,sK43)
& leq(sK44,minus(n6,n1))
& leq(n0,sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ( ( a_select3(id_ds1_filter,sK43,sK44) != a_select3(id_ds1_filter,sK44,sK43)
& leq(sK44,minus(n6,n1))
& leq(n0,sK44)
& leq(sK43,minus(n6,n1))
& leq(n0,sK43) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [X2] :
( ! [X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)
| ~ leq(X9,minus(n3,n1))
| ~ leq(X8,minus(n3,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(X10,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f257,f259,f258]) ).
fof(f371,plain,
( leq(n0,sK35)
| ~ sP7 ),
inference(cnf_transformation,[],[f244]) ).
fof(f372,plain,
( leq(n0,sK36)
| ~ sP7 ),
inference(cnf_transformation,[],[f244]) ).
fof(f373,plain,
( leq(sK35,minus(n6,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f244]) ).
fof(f374,plain,
( leq(sK36,minus(n6,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f244]) ).
fof(f375,plain,
( a_select3(pminus_ds1_filter,sK35,sK36) != a_select3(pminus_ds1_filter,sK36,sK35)
| ~ sP7 ),
inference(cnf_transformation,[],[f244]) ).
fof(f376,plain,
( leq(n0,sK37)
| ~ sP6 ),
inference(cnf_transformation,[],[f248]) ).
fof(f377,plain,
( leq(n0,sK38)
| ~ sP6 ),
inference(cnf_transformation,[],[f248]) ).
fof(f378,plain,
( leq(sK37,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f248]) ).
fof(f379,plain,
( leq(sK38,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f248]) ).
fof(f380,plain,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| ~ sP6 ),
inference(cnf_transformation,[],[f248]) ).
fof(f381,plain,
( leq(n0,sK39)
| ~ sP5 ),
inference(cnf_transformation,[],[f252]) ).
fof(f382,plain,
( leq(n0,sK40)
| ~ sP5 ),
inference(cnf_transformation,[],[f252]) ).
fof(f383,plain,
( leq(sK39,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f252]) ).
fof(f384,plain,
( leq(sK40,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f252]) ).
fof(f385,plain,
( a_select3(r_ds1_filter,sK39,sK40) != a_select3(r_ds1_filter,sK40,sK39)
| ~ sP5 ),
inference(cnf_transformation,[],[f252]) ).
fof(f386,plain,
( leq(n0,sK41)
| ~ sP4 ),
inference(cnf_transformation,[],[f256]) ).
fof(f387,plain,
( leq(n0,sK42)
| ~ sP4 ),
inference(cnf_transformation,[],[f256]) ).
fof(f388,plain,
( leq(sK41,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f256]) ).
fof(f389,plain,
( leq(sK42,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f256]) ).
fof(f390,plain,
( a_select3(q_ds1_filter,sK41,sK42) != a_select3(q_ds1_filter,sK42,sK41)
| ~ sP4 ),
inference(cnf_transformation,[],[f256]) ).
fof(f391,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f260]) ).
fof(f392,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f260]) ).
fof(f393,plain,
! [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(X10,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) ),
inference(cnf_transformation,[],[f260]) ).
fof(f394,plain,
! [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)
| ~ leq(X9,minus(n3,n1))
| ~ leq(X8,minus(n3,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f260]) ).
fof(f396,plain,
! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f260]) ).
fof(f397,plain,
! [X2,X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f260]) ).
fof(f398,plain,
( leq(n0,sK43)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f260]) ).
fof(f399,plain,
( leq(sK43,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f260]) ).
fof(f400,plain,
( leq(n0,sK44)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f260]) ).
fof(f401,plain,
( leq(sK44,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f260]) ).
fof(f402,plain,
( a_select3(id_ds1_filter,sK43,sK44) != a_select3(id_ds1_filter,sK44,sK43)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_157,plain,
( a_select3(pminus_ds1_filter,sK35,sK36) != a_select3(pminus_ds1_filter,sK36,sK35)
| ~ sP7 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_158,plain,
( ~ sP7
| leq(sK36,minus(n6,n1)) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_159,plain,
( ~ sP7
| leq(sK35,minus(n6,n1)) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_160,plain,
( ~ sP7
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_161,plain,
( ~ sP7
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_162,plain,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| ~ sP6 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_163,plain,
( ~ sP6
| leq(sK38,minus(n6,n1)) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_164,plain,
( ~ sP6
| leq(sK37,minus(n6,n1)) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_165,plain,
( ~ sP6
| leq(n0,sK38) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_166,plain,
( ~ sP6
| leq(n0,sK37) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_167,plain,
( a_select3(r_ds1_filter,sK39,sK40) != a_select3(r_ds1_filter,sK40,sK39)
| ~ sP5 ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_168,plain,
( ~ sP5
| leq(sK40,minus(n3,n1)) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_169,plain,
( ~ sP5
| leq(sK39,minus(n3,n1)) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_170,plain,
( ~ sP5
| leq(n0,sK40) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_171,plain,
( ~ sP5
| leq(n0,sK39) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_172,plain,
( a_select3(q_ds1_filter,sK41,sK42) != a_select3(q_ds1_filter,sK42,sK41)
| ~ sP4 ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_173,plain,
( ~ sP4
| leq(sK42,minus(n6,n1)) ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_174,plain,
( ~ sP4
| leq(sK41,minus(n6,n1)) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_175,plain,
( ~ sP4
| leq(n0,sK42) ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_176,plain,
( ~ sP4
| leq(n0,sK41) ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_177,negated_conjecture,
( a_select3(id_ds1_filter,sK43,sK44) != a_select3(id_ds1_filter,sK44,sK43)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_178,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(sK44,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_179,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,sK44)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_180,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(sK43,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_181,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,sK43)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_182,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f397]) ).
cnf(c_183,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f396]) ).
cnf(c_185,negated_conjecture,
( ~ leq(X0,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_186,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_187,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f392]) ).
cnf(c_188,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f391]) ).
cnf(c_332,negated_conjecture,
( leq(n0,sK43)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_181,c_188,c_187,c_181]) ).
cnf(c_334,negated_conjecture,
( leq(n0,sK44)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_179,c_188,c_187,c_179]) ).
cnf(c_336,negated_conjecture,
( leq(sK43,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_180,c_188,c_187,c_180]) ).
cnf(c_338,negated_conjecture,
( leq(sK44,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_178,c_188,c_187,c_178]) ).
cnf(c_340,negated_conjecture,
( a_select3(id_ds1_filter,sK43,sK44) != a_select3(id_ds1_filter,sK44,sK43)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_177,c_188,c_187,c_177]) ).
cnf(c_20117,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK44)
| a_select3(id_ds1_filter,X0,sK44) = a_select3(id_ds1_filter,sK44,X0)
| sP7
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_338,c_182]) ).
cnf(c_20231,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| a_select3(id_ds1_filter,X0,sK44) = a_select3(id_ds1_filter,sK44,X0)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_20117,c_334,c_20117]) ).
cnf(c_20232,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,sK44) = a_select3(id_ds1_filter,sK44,X0)
| sP7
| sP6
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_20231]) ).
cnf(c_20250,plain,
( ~ leq(n0,sK43)
| a_select3(id_ds1_filter,sK43,sK44) = a_select3(id_ds1_filter,sK44,sK43)
| sP7
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_336,c_20232]) ).
cnf(c_20263,plain,
( sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_20250,c_332,c_340,c_20250]) ).
cnf(c_20409,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK36)
| ~ sP7
| a_select3(pminus_ds1_filter,X0,sK36) = a_select3(pminus_ds1_filter,sK36,X0) ),
inference(superposition,[status(thm)],[c_158,c_183]) ).
cnf(c_20410,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK36)
| ~ sP7
| a_select3(id_ds1_filter,X0,sK36) = a_select3(id_ds1_filter,sK36,X0) ),
inference(superposition,[status(thm)],[c_158,c_182]) ).
cnf(c_20489,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK38)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0) ),
inference(superposition,[status(thm)],[c_163,c_183]) ).
cnf(c_20490,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK38)
| ~ sP6
| a_select3(id_ds1_filter,X0,sK38) = a_select3(id_ds1_filter,sK38,X0) ),
inference(superposition,[status(thm)],[c_163,c_182]) ).
cnf(c_20546,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ sP7
| a_select3(pminus_ds1_filter,X0,sK36) = a_select3(pminus_ds1_filter,sK36,X0) ),
inference(global_subsumption_just,[status(thm)],[c_20409,c_160,c_20409]) ).
cnf(c_20547,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ sP7
| a_select3(pminus_ds1_filter,X0,sK36) = a_select3(pminus_ds1_filter,sK36,X0) ),
inference(renaming,[status(thm)],[c_20546]) ).
cnf(c_20559,plain,
( ~ leq(n0,sK35)
| ~ sP7
| a_select3(pminus_ds1_filter,sK35,sK36) = a_select3(pminus_ds1_filter,sK36,sK35) ),
inference(superposition,[status(thm)],[c_159,c_20547]) ).
cnf(c_20571,plain,
~ sP7,
inference(global_subsumption_just,[status(thm)],[c_20410,c_161,c_157,c_20559]) ).
cnf(c_20599,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0) ),
inference(global_subsumption_just,[status(thm)],[c_20489,c_165,c_20489]) ).
cnf(c_20600,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0) ),
inference(renaming,[status(thm)],[c_20599]) ).
cnf(c_20623,plain,
( ~ leq(n0,sK37)
| ~ sP6
| a_select3(pminus_ds1_filter,sK37,sK38) = a_select3(pminus_ds1_filter,sK38,sK37) ),
inference(superposition,[status(thm)],[c_164,c_20600]) ).
cnf(c_20672,plain,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK40)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK40) = a_select3(r_ds1_filter,sK40,X0) ),
inference(superposition,[status(thm)],[c_168,c_185]) ).
cnf(c_20688,plain,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK39)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK39) = a_select3(r_ds1_filter,sK39,X0) ),
inference(superposition,[status(thm)],[c_169,c_185]) ).
cnf(c_20708,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK42)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK42) = a_select3(q_ds1_filter,sK42,X0) ),
inference(superposition,[status(thm)],[c_173,c_186]) ).
cnf(c_20749,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_20490,c_166,c_162,c_20623]) ).
cnf(c_20757,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1))
| ~ sP5
| a_select3(r_ds1_filter,X0,sK40) = a_select3(r_ds1_filter,sK40,X0) ),
inference(global_subsumption_just,[status(thm)],[c_20672,c_170,c_20672]) ).
cnf(c_20758,plain,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK40) = a_select3(r_ds1_filter,sK40,X0) ),
inference(renaming,[status(thm)],[c_20757]) ).
cnf(c_20770,plain,
( ~ leq(n0,sK39)
| ~ sP5
| a_select3(r_ds1_filter,sK39,sK40) = a_select3(r_ds1_filter,sK40,sK39) ),
inference(superposition,[status(thm)],[c_169,c_20758]) ).
cnf(c_20777,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_20688,c_171,c_167,c_20770]) ).
cnf(c_20779,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,sK42) = a_select3(q_ds1_filter,sK42,X0) ),
inference(global_subsumption_just,[status(thm)],[c_20708,c_175,c_171,c_166,c_161,c_167,c_162,c_157,c_20263,c_20559,c_20623,c_20708,c_20770]) ).
cnf(c_20808,plain,
leq(sK41,minus(n6,n1)),
inference(global_subsumption_just,[status(thm)],[c_174,c_174,c_20263,c_20571,c_20749,c_20777]) ).
cnf(c_20811,plain,
( ~ leq(n0,sK41)
| a_select3(q_ds1_filter,sK41,sK42) = a_select3(q_ds1_filter,sK42,sK41) ),
inference(superposition,[status(thm)],[c_20808,c_20779]) ).
cnf(c_20843,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20811,c_20777,c_20749,c_20571,c_20263,c_172,c_176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 06:46:17 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.06/1.18 % SZS status Started for theBenchmark.p
% 4.06/1.18 % SZS status Theorem for theBenchmark.p
% 4.06/1.18
% 4.06/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.06/1.18
% 4.06/1.18 ------ iProver source info
% 4.06/1.18
% 4.06/1.18 git: date: 2023-05-31 18:12:56 +0000
% 4.06/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.06/1.18 git: non_committed_changes: false
% 4.06/1.18 git: last_make_outside_of_git: false
% 4.06/1.18
% 4.06/1.18 ------ Parsing...
% 4.06/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.06/1.18
% 4.06/1.18 ------ Preprocessing... sup_sim: 17 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.06/1.18
% 4.06/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.06/1.18
% 4.06/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.06/1.18 ------ Proving...
% 4.06/1.18 ------ Problem Properties
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 clauses 188
% 4.06/1.18 conjectures 11
% 4.06/1.18 EPR 63
% 4.06/1.18 Horn 132
% 4.06/1.18 unary 64
% 4.06/1.18 binary 54
% 4.06/1.18 lits 591
% 4.06/1.18 lits eq 130
% 4.06/1.18 fd_pure 0
% 4.06/1.18 fd_pseudo 0
% 4.06/1.18 fd_cond 7
% 4.06/1.18 fd_pseudo_cond 4
% 4.06/1.18 AC symbols 0
% 4.06/1.18
% 4.06/1.18 ------ Schedule dynamic 5 is on
% 4.06/1.18
% 4.06/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 ------
% 4.06/1.18 Current options:
% 4.06/1.18 ------
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 ------ Proving...
% 4.06/1.18
% 4.06/1.18
% 4.06/1.18 % SZS status Theorem for theBenchmark.p
% 4.06/1.18
% 4.06/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.18
% 4.06/1.19
%------------------------------------------------------------------------------