TSTP Solution File: SWV111+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV111+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Fri May 3 03:13:31 EDT 2024
% Result : Theorem 80.09s 11.70s
% Output : CNFRefutation 80.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 187 ( 39 unt; 0 def)
% Number of atoms : 1071 ( 191 equ)
% Maximal formula atoms : 62 ( 5 avg)
% Number of connectives : 1321 ( 437 ~; 479 |; 350 &)
% ( 2 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-3 aty)
% Number of variables : 264 ( 0 sgn 159 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( lt(X0,X1)
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_gt) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).
fof(f53,conjecture,
( ( ! [X4] :
( ( leq(X4,minus(pv57,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) )
=> ( ( lt(X27,pv57)
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_ds1_filter,X28,X27) )
& ( ( pv57 = X27
& lt(X28,plus(n1,minus(n6,n1))) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) )
=> ( ! [X33] :
( ( leq(X33,minus(pv57,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,pv57)
& leq(n0,X32)
& leq(n0,X31) )
=> a_select3(id_ds1_filter,X31,X32) = a_select3(id_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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0004) ).
fof(f54,negated_conjecture,
~ ( ( ! [X4] :
( ( leq(X4,minus(pv57,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) )
=> ( ( lt(X27,pv57)
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_ds1_filter,X28,X27) )
& ( ( pv57 = X27
& lt(X28,plus(n1,minus(n6,n1))) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) )
=> ( ! [X33] :
( ( leq(X33,minus(pv57,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,pv57)
& leq(n0,X32)
& leq(n0,X31) )
=> a_select3(id_ds1_filter,X31,X32) = a_select3(id_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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f124,plain,
~ ( ( ! [X0] :
( ( leq(X0,minus(pv57,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) )
=> ( ( lt(X2,pv57)
=> a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2) )
& ( ( pv57 = X2
& lt(X3,plus(n1,minus(n6,n1))) )
=> a_select3(id_ds1_filter,X2,X3) = a_select3(id_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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) )
=> ( ! [X10] :
( ( leq(X10,minus(pv57,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,pv57)
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(id_ds1_filter,X12,X13) = a_select3(id_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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ) ),
inference(rectify,[],[f54]) ).
fof(f125,plain,
! [X0,X1] :
( gt(X1,X0)
=> lt(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f131,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f133,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f134,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f133]) ).
fof(f168,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(pv57,n1))
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,pv57)
& 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(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ 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(pv57,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ( ( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ lt(X2,pv57) )
& ( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| pv57 != X2
| ~ lt(X3,plus(n1,minus(n6,n1))) ) )
| ~ 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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ),
inference(ennf_transformation,[],[f124]) ).
fof(f169,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(pv57,n1))
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,pv57)
& 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(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ 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(pv57,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ( ( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ lt(X2,pv57) )
& ( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| pv57 != X2
| ~ lt(X3,plus(n1,minus(n6,n1))) ) )
| ~ 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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ),
inference(flattening,[],[f168]) ).
fof(f191,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(f192,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(f193,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(f194,plain,
( ? [X12,X13] :
( a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,pv57)
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f195,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(pv57,n1))
& leq(n0,X10) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ 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(pv57,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ( ( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ lt(X2,pv57) )
& ( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| pv57 != X2
| ~ lt(X3,plus(n1,minus(n6,n1))) ) )
| ~ 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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ),
inference(definition_folding,[],[f169,f194,f193,f192,f191]) ).
fof(f196,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f243,plain,
( ? [X12,X13] :
( a_select3(id_ds1_filter,X12,X13) != a_select3(id_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,pv57)
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP7 ),
inference(nnf_transformation,[],[f194]) ).
fof(f244,plain,
( ? [X0,X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,pv57)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP7 ),
inference(rectify,[],[f243]) ).
fof(f245,plain,
( ? [X0,X1] :
( a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,pv57)
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(id_ds1_filter,sK35,sK36) != a_select3(id_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,pv57)
& leq(n0,sK36)
& leq(n0,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
( ( a_select3(id_ds1_filter,sK35,sK36) != a_select3(id_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,pv57)
& leq(n0,sK36)
& leq(n0,sK35) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f244,f245]) ).
fof(f247,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,[],[f193]) ).
fof(f248,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,[],[f247]) ).
fof(f249,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(f250,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])],[f248,f249]) ).
fof(f251,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,[],[f192]) ).
fof(f252,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,[],[f251]) ).
fof(f253,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(f254,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])],[f252,f253]) ).
fof(f255,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,[],[f191]) ).
fof(f256,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,[],[f255]) ).
fof(f257,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(f258,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])],[f256,f257]) ).
fof(f259,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(pv57,n1))
& leq(n0,X0) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ 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(pv57,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ( ( a_select3(id_ds1_filter,X4,X5) = a_select3(id_ds1_filter,X5,X4)
| ~ lt(X4,pv57) )
& ( a_select3(id_ds1_filter,X4,X5) = a_select3(id_ds1_filter,X5,X4)
| pv57 != X4
| ~ lt(X5,plus(n1,minus(n6,n1))) ) )
| ~ 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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ),
inference(rectify,[],[f195]) ).
fof(f260,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(pv57,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(pv57,n1))
& leq(n0,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f261,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(f262,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(pv57,n1))
& leq(n0,sK43) )
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ 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(pv57,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ( ( a_select3(id_ds1_filter,X4,X5) = a_select3(id_ds1_filter,X5,X4)
| ~ lt(X4,pv57) )
& ( a_select3(id_ds1_filter,X4,X5) = a_select3(id_ds1_filter,X5,X4)
| pv57 != X4
| ~ lt(X5,plus(n1,minus(n6,n1))) ) )
| ~ 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(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f259,f261,f260]) ).
fof(f268,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f270,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f271,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f272,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f344,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f345,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f354,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f356,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f374,plain,
( leq(n0,sK35)
| ~ sP7 ),
inference(cnf_transformation,[],[f246]) ).
fof(f375,plain,
( leq(n0,sK36)
| ~ sP7 ),
inference(cnf_transformation,[],[f246]) ).
fof(f376,plain,
( leq(sK35,pv57)
| ~ sP7 ),
inference(cnf_transformation,[],[f246]) ).
fof(f377,plain,
( leq(sK36,minus(n6,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f246]) ).
fof(f378,plain,
( a_select3(id_ds1_filter,sK35,sK36) != a_select3(id_ds1_filter,sK36,sK35)
| ~ sP7 ),
inference(cnf_transformation,[],[f246]) ).
fof(f379,plain,
( leq(n0,sK37)
| ~ sP6 ),
inference(cnf_transformation,[],[f250]) ).
fof(f380,plain,
( leq(n0,sK38)
| ~ sP6 ),
inference(cnf_transformation,[],[f250]) ).
fof(f381,plain,
( leq(sK37,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f250]) ).
fof(f382,plain,
( leq(sK38,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f250]) ).
fof(f383,plain,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| ~ sP6 ),
inference(cnf_transformation,[],[f250]) ).
fof(f384,plain,
( leq(n0,sK39)
| ~ sP5 ),
inference(cnf_transformation,[],[f254]) ).
fof(f385,plain,
( leq(n0,sK40)
| ~ sP5 ),
inference(cnf_transformation,[],[f254]) ).
fof(f386,plain,
( leq(sK39,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f254]) ).
fof(f387,plain,
( leq(sK40,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f254]) ).
fof(f388,plain,
( a_select3(r_ds1_filter,sK39,sK40) != a_select3(r_ds1_filter,sK40,sK39)
| ~ sP5 ),
inference(cnf_transformation,[],[f254]) ).
fof(f389,plain,
( leq(n0,sK41)
| ~ sP4 ),
inference(cnf_transformation,[],[f258]) ).
fof(f390,plain,
( leq(n0,sK42)
| ~ sP4 ),
inference(cnf_transformation,[],[f258]) ).
fof(f391,plain,
( leq(sK41,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f258]) ).
fof(f392,plain,
( leq(sK42,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f258]) ).
fof(f393,plain,
( a_select3(q_ds1_filter,sK41,sK42) != a_select3(q_ds1_filter,sK42,sK41)
| ~ sP4 ),
inference(cnf_transformation,[],[f258]) ).
fof(f394,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f262]) ).
fof(f395,plain,
leq(n0,pv57),
inference(cnf_transformation,[],[f262]) ).
fof(f396,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f262]) ).
fof(f397,plain,
leq(pv57,minus(n6,n1)),
inference(cnf_transformation,[],[f262]) ).
fof(f398,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,[],[f262]) ).
fof(f399,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,[],[f262]) ).
fof(f400,plain,
! [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) ),
inference(cnf_transformation,[],[f262]) ).
fof(f401,plain,
! [X4,X5] :
( a_select3(id_ds1_filter,X4,X5) = a_select3(id_ds1_filter,X5,X4)
| pv57 != X4
| ~ lt(X5,plus(n1,minus(n6,n1)))
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f262]) ).
fof(f403,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(pv57,n1))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f404,plain,
( leq(n0,sK43)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f405,plain,
( leq(sK43,minus(pv57,n1))
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f406,plain,
( leq(n0,sK44)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f407,plain,
( leq(sK44,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f408,plain,
( a_select3(id_ds1_filter,sK43,sK44) != a_select3(id_ds1_filter,sK44,sK43)
| sP7
| sP6
| sP5
| sP4
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f458,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f272,f354]) ).
fof(f459,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f271,f354]) ).
fof(f465,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f345,f344]) ).
fof(f475,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f356,f344,f354]) ).
fof(f488,plain,
! [X5] :
( a_select3(id_ds1_filter,pv57,X5) = a_select3(id_ds1_filter,X5,pv57)
| ~ lt(X5,plus(n1,minus(n6,n1)))
| ~ leq(X5,minus(n6,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,pv57) ),
inference(equality_resolution,[],[f401]) ).
cnf(c_54,plain,
( ~ gt(X0,X1)
| lt(X1,X0) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_56,plain,
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_57,plain,
( ~ gt(X0,X1)
| leq(X1,minus(X0,n1)) ),
inference(cnf_transformation,[],[f458]) ).
cnf(c_58,plain,
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_130,plain,
plus(X0,n1) = plus(n1,X0),
inference(cnf_transformation,[],[f465]) ).
cnf(c_140,plain,
plus(minus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f475]) ).
cnf(c_158,plain,
( a_select3(id_ds1_filter,sK35,sK36) != a_select3(id_ds1_filter,sK36,sK35)
| ~ sP7 ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_159,plain,
( ~ sP7
| leq(sK36,minus(n6,n1)) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_160,plain,
( ~ sP7
| leq(sK35,pv57) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_161,plain,
( ~ sP7
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_162,plain,
( ~ sP7
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_163,plain,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| ~ sP6 ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_164,plain,
( ~ sP6
| leq(sK38,minus(n6,n1)) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_165,plain,
( ~ sP6
| leq(sK37,minus(n6,n1)) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_166,plain,
( ~ sP6
| leq(n0,sK38) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_167,plain,
( ~ sP6
| leq(n0,sK37) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_168,plain,
( a_select3(r_ds1_filter,sK39,sK40) != a_select3(r_ds1_filter,sK40,sK39)
| ~ sP5 ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_169,plain,
( ~ sP5
| leq(sK40,minus(n3,n1)) ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_170,plain,
( ~ sP5
| leq(sK39,minus(n3,n1)) ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_171,plain,
( ~ sP5
| leq(n0,sK40) ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_172,plain,
( ~ sP5
| leq(n0,sK39) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_173,plain,
( a_select3(q_ds1_filter,sK41,sK42) != a_select3(q_ds1_filter,sK42,sK41)
| ~ sP4 ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_174,plain,
( ~ sP4
| leq(sK42,minus(n6,n1)) ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_175,plain,
( ~ sP4
| leq(sK41,minus(n6,n1)) ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_176,plain,
( ~ sP4
| leq(n0,sK42) ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_177,plain,
( ~ sP4
| leq(n0,sK41) ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_178,negated_conjecture,
( a_select3(id_ds1_filter,sK43,sK44) != a_select3(id_ds1_filter,sK44,sK43)
| ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_179,negated_conjecture,
( ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| leq(sK44,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f407]) ).
cnf(c_180,negated_conjecture,
( ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| leq(n0,sK44)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_181,negated_conjecture,
( ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| leq(sK43,minus(pv57,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_182,negated_conjecture,
( ~ leq(pv57,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv57)
| ~ leq(n0,pv5)
| leq(n0,sK43)
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_183,negated_conjecture,
( ~ leq(X0,minus(pv57,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,[],[f403]) ).
cnf(c_185,negated_conjecture,
( ~ lt(X0,plus(n1,minus(n6,n1)))
| ~ leq(X0,minus(n6,n1))
| ~ leq(pv57,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,pv57)
| a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_186,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,[],[f400]) ).
cnf(c_187,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,[],[f399]) ).
cnf(c_188,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,[],[f398]) ).
cnf(c_189,negated_conjecture,
leq(pv57,minus(n6,n1)),
inference(cnf_transformation,[],[f397]) ).
cnf(c_190,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f396]) ).
cnf(c_191,negated_conjecture,
leq(n0,pv57),
inference(cnf_transformation,[],[f395]) ).
cnf(c_192,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f394]) ).
cnf(c_338,negated_conjecture,
( leq(n0,sK43)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_182,c_192,c_191,c_190,c_189,c_182]) ).
cnf(c_342,negated_conjecture,
( leq(sK43,minus(pv57,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_181,c_192,c_191,c_190,c_189,c_181]) ).
cnf(c_344,negated_conjecture,
( leq(sK44,minus(n6,n1))
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_179,c_192,c_191,c_190,c_189,c_179]) ).
cnf(c_348,plain,
( ~ leq(n0,X0)
| ~ lt(X0,plus(n1,minus(n6,n1)))
| ~ leq(X0,minus(n6,n1))
| a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) ),
inference(global_subsumption_just,[status(thm)],[c_185,c_191,c_189,c_185]) ).
cnf(c_349,negated_conjecture,
( ~ lt(X0,plus(n1,minus(n6,n1)))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) ),
inference(renaming,[status(thm)],[c_348]) ).
cnf(c_355,plain,
( ~ gt(X0,X1)
| lt(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_359,plain,
( ~ gt(X0,X1)
| leq(X1,minus(X0,n1)) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
cnf(c_2141,plain,
plus(n1,minus(X0,n1)) = X0,
inference(demodulation,[status(thm)],[c_140,c_130]) ).
cnf(c_2427,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ lt(X0,n6)
| a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) ),
inference(demodulation,[status(thm)],[c_349,c_2141]) ).
cnf(c_3192,plain,
( X0 != n6
| X1 != X2
| ~ leq(X2,minus(n6,n1))
| ~ gt(X0,X1)
| ~ leq(n0,X2)
| a_select3(id_ds1_filter,X2,pv57) = a_select3(id_ds1_filter,pv57,X2) ),
inference(resolution_lifted,[status(thm)],[c_355,c_2427]) ).
cnf(c_3193,plain,
( ~ leq(X0,minus(n6,n1))
| ~ gt(n6,X0)
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) ),
inference(unflattening,[status(thm)],[c_3192]) ).
cnf(c_3203,plain,
( ~ gt(n6,X0)
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,pv57) = a_select3(id_ds1_filter,pv57,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3193,c_359]) ).
cnf(c_20456,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK43)
| a_select3(id_ds1_filter,X0,sK43) = a_select3(id_ds1_filter,sK43,X0)
| sP7
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_342,c_183]) ).
cnf(c_20566,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| a_select3(id_ds1_filter,X0,sK43) = a_select3(id_ds1_filter,sK43,X0)
| sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_20456,c_192,c_191,c_190,c_189,c_182,c_20456]) ).
cnf(c_20567,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,sK43) = a_select3(id_ds1_filter,sK43,X0)
| sP7
| sP6
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_20566]) ).
cnf(c_20577,plain,
( ~ leq(n0,pv57)
| a_select3(id_ds1_filter,pv57,sK43) = a_select3(id_ds1_filter,sK43,pv57)
| sP7
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_189,c_20567]) ).
cnf(c_20578,plain,
( ~ leq(n0,sK44)
| a_select3(id_ds1_filter,sK43,sK44) = a_select3(id_ds1_filter,sK44,sK43)
| sP7
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_344,c_20567]) ).
cnf(c_20579,plain,
( a_select3(id_ds1_filter,pv57,sK43) = a_select3(id_ds1_filter,sK43,pv57)
| sP7
| sP6
| sP5
| sP4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_20577,c_191]) ).
cnf(c_20653,plain,
( sP7
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_20579,c_192,c_191,c_190,c_189,c_180,c_178,c_20578]) ).
cnf(c_20959,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_164,c_186]) ).
cnf(c_21164,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_20959,c_166,c_20959]) ).
cnf(c_21165,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_21164]) ).
cnf(c_21174,plain,
( ~ leq(n0,sK37)
| ~ sP6
| a_select3(pminus_ds1_filter,sK37,sK38) = a_select3(pminus_ds1_filter,sK38,sK37) ),
inference(superposition,[status(thm)],[c_165,c_21165]) ).
cnf(c_21175,plain,
( ~ leq(n0,pv57)
| ~ sP6
| a_select3(pminus_ds1_filter,pv57,sK38) = a_select3(pminus_ds1_filter,sK38,pv57) ),
inference(superposition,[status(thm)],[c_189,c_21165]) ).
cnf(c_21177,plain,
( ~ sP6
| a_select3(pminus_ds1_filter,pv57,sK38) = a_select3(pminus_ds1_filter,sK38,pv57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21175,c_191]) ).
cnf(c_21284,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_21177,c_167,c_163,c_21174]) ).
cnf(c_21306,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_169,c_187]) ).
cnf(c_21311,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_170,c_187]) ).
cnf(c_21316,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_174,c_188]) ).
cnf(c_21347,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_21306,c_171,c_21306]) ).
cnf(c_21348,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_21347]) ).
cnf(c_21356,plain,
( ~ leq(n0,sK39)
| ~ sP5
| a_select3(r_ds1_filter,sK39,sK40) = a_select3(r_ds1_filter,sK40,sK39) ),
inference(superposition,[status(thm)],[c_170,c_21348]) ).
cnf(c_21357,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_21311,c_172,c_168,c_21356]) ).
cnf(c_21360,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ sP4
| a_select3(q_ds1_filter,X0,sK42) = a_select3(q_ds1_filter,sK42,X0) ),
inference(global_subsumption_just,[status(thm)],[c_21316,c_176,c_21316]) ).
cnf(c_21361,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK42) = a_select3(q_ds1_filter,sK42,X0) ),
inference(renaming,[status(thm)],[c_21360]) ).
cnf(c_21370,plain,
( ~ leq(n0,sK41)
| ~ sP4
| a_select3(q_ds1_filter,sK41,sK42) = a_select3(q_ds1_filter,sK42,sK41) ),
inference(superposition,[status(thm)],[c_175,c_21361]) ).
cnf(c_21371,plain,
( ~ leq(n0,pv57)
| ~ sP4
| a_select3(q_ds1_filter,pv57,sK42) = a_select3(q_ds1_filter,sK42,pv57) ),
inference(superposition,[status(thm)],[c_189,c_21361]) ).
cnf(c_21372,plain,
( ~ sP4
| a_select3(q_ds1_filter,pv57,sK42) = a_select3(q_ds1_filter,sK42,pv57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21371,c_191]) ).
cnf(c_21373,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_21372,c_177,c_173,c_21370]) ).
cnf(c_22290,negated_conjecture,
sP7,
inference(global_subsumption_just,[status(thm)],[c_338,c_20653,c_21284,c_21357,c_21373]) ).
cnf(c_22860,negated_conjecture,
sP7,
inference(global_subsumption_just,[status(thm)],[c_338,c_177,c_172,c_167,c_173,c_168,c_163,c_20653,c_21174,c_21356,c_21370]) ).
cnf(c_22867,plain,
a_select3(id_ds1_filter,sK35,sK36) != a_select3(id_ds1_filter,sK36,sK35),
inference(backward_subsumption_resolution,[status(thm)],[c_158,c_22860]) ).
cnf(c_22951,plain,
( ~ leq(sK35,minus(pv57,n1))
| ~ leq(sK36,minus(n6,n1))
| ~ leq(n0,sK35)
| ~ leq(n0,sK36) ),
inference(resolution,[status(thm)],[c_22867,c_183]) ).
cnf(c_22952,plain,
~ leq(sK35,minus(pv57,n1)),
inference(global_subsumption_just,[status(thm)],[c_22951,c_177,c_172,c_167,c_162,c_161,c_159,c_173,c_168,c_163,c_20653,c_21174,c_21356,c_21370,c_22951]) ).
cnf(c_23109,plain,
~ gt(pv57,sK35),
inference(resolution,[status(thm)],[c_57,c_22952]) ).
cnf(c_26527,plain,
leq(sK35,pv57),
inference(backward_subsumption_resolution,[status(thm)],[c_160,c_22290]) ).
cnf(c_29813,plain,
( sK35 = pv57
| gt(pv57,sK35) ),
inference(superposition,[status(thm)],[c_26527,c_56]) ).
cnf(c_123971,plain,
leq(n0,sK36),
inference(backward_subsumption_resolution,[status(thm)],[c_161,c_22290]) ).
cnf(c_123972,plain,
leq(sK35,pv57),
inference(backward_subsumption_resolution,[status(thm)],[c_160,c_22290]) ).
cnf(c_123973,plain,
leq(sK36,minus(n6,n1)),
inference(backward_subsumption_resolution,[status(thm)],[c_159,c_22290]) ).
cnf(c_123974,plain,
a_select3(id_ds1_filter,sK35,sK36) != a_select3(id_ds1_filter,sK36,sK35),
inference(backward_subsumption_resolution,[status(thm)],[c_158,c_22290]) ).
cnf(c_124330,plain,
gt(n6,sK36),
inference(superposition,[status(thm)],[c_123973,c_58]) ).
cnf(c_124400,plain,
( ~ leq(n0,sK36)
| a_select3(id_ds1_filter,sK36,pv57) = a_select3(id_ds1_filter,pv57,sK36) ),
inference(superposition,[status(thm)],[c_124330,c_3203]) ).
cnf(c_124401,plain,
a_select3(id_ds1_filter,sK36,pv57) = a_select3(id_ds1_filter,pv57,sK36),
inference(forward_subsumption_resolution,[status(thm)],[c_124400,c_123971]) ).
cnf(c_125666,plain,
( sK35 = pv57
| gt(pv57,sK35) ),
inference(superposition,[status(thm)],[c_123972,c_56]) ).
cnf(c_132646,plain,
sK35 = pv57,
inference(global_subsumption_just,[status(thm)],[c_125666,c_23109,c_29813]) ).
cnf(c_132648,plain,
a_select3(id_ds1_filter,sK36,pv57) != a_select3(id_ds1_filter,pv57,sK36),
inference(demodulation,[status(thm)],[c_123974,c_132646]) ).
cnf(c_132651,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_132648,c_124401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV111+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 00:33:33 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 80.09/11.70 % SZS status Started for theBenchmark.p
% 80.09/11.70 % SZS status Theorem for theBenchmark.p
% 80.09/11.70
% 80.09/11.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 80.09/11.70
% 80.09/11.70 ------ iProver source info
% 80.09/11.70
% 80.09/11.70 git: date: 2024-05-02 19:28:25 +0000
% 80.09/11.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 80.09/11.70 git: non_committed_changes: false
% 80.09/11.70
% 80.09/11.70 ------ Parsing...
% 80.09/11.70 ------ Clausification by vclausify_rel & Parsing by iProver...
% 80.09/11.70
% 80.09/11.70 ------ Preprocessing... sup_sim: 18 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 80.09/11.70
% 80.09/11.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 80.09/11.70
% 80.09/11.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 80.09/11.70 ------ Proving...
% 80.09/11.70 ------ Problem Properties
% 80.09/11.70
% 80.09/11.70
% 80.09/11.70 clauses 192
% 80.09/11.70 conjectures 13
% 80.09/11.70 EPR 65
% 80.09/11.70 Horn 136
% 80.09/11.70 unary 66
% 80.09/11.70 binary 54
% 80.09/11.70 lits 602
% 80.09/11.70 lits eq 132
% 80.09/11.70 fd_pure 0
% 80.09/11.70 fd_pseudo 0
% 80.09/11.70 fd_cond 7
% 80.09/11.70 fd_pseudo_cond 4
% 80.09/11.70 AC symbols 0
% 80.09/11.70
% 80.09/11.70 ------ Input Options Time Limit: Unbounded
% 80.09/11.70
% 80.09/11.70
% 80.09/11.70 ------
% 80.09/11.70 Current options:
% 80.09/11.70 ------
% 80.09/11.70
% 80.09/11.70
% 80.09/11.70
% 80.09/11.70
% 80.09/11.70 ------ Proving...
% 80.09/11.70
% 80.09/11.70
% 80.09/11.70 % SZS status Theorem for theBenchmark.p
% 80.09/11.70
% 80.09/11.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 80.09/11.70
% 80.09/11.71
%------------------------------------------------------------------------------