TSTP Solution File: SWV116+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 0.46s 1.15s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 71 ( 3 unt; 0 def)
% Number of atoms : 546 ( 96 equ)
% Maximal formula atoms : 42 ( 7 avg)
% Number of connectives : 690 ( 215 ~; 222 |; 220 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 153 ( 0 sgn; 104 !; 34 ?)
% 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) )
=> ( ! [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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0009) ).
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) )
=> ( ! [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) ) ) ),
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,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(pminus_ds1_filter,X10,X11) = a_select3(pminus_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X15) = a_select3(q_ds1_filter,X15,X14) ) ) ),
inference(rectify,[],[f54]) ).
fof(f166,plain,
( ( ? [X10,X11] :
( a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) ) )
& ! [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(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) ) )
& ! [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,
( ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f190,plain,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f191,plain,
( ( ? [X10,X11] :
( a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| sP5
| sP4 )
& ! [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,f190,f189]) ).
fof(f239,plain,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP5 ),
inference(nnf_transformation,[],[f190]) ).
fof(f240,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,[],[f239]) ).
fof(f241,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,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
& leq(sK34,minus(n3,n1))
& leq(sK33,minus(n3,n1))
& leq(n0,sK34)
& leq(n0,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
( ( a_select3(r_ds1_filter,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
& leq(sK34,minus(n3,n1))
& leq(sK33,minus(n3,n1))
& leq(n0,sK34)
& leq(n0,sK33) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f240,f241]) ).
fof(f243,plain,
( ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP4 ),
inference(nnf_transformation,[],[f189]) ).
fof(f244,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,[],[f243]) ).
fof(f245,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,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,minus(n6,n1))
& leq(n0,sK36)
& leq(n0,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
( ( a_select3(q_ds1_filter,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,minus(n6,n1))
& leq(n0,sK36)
& leq(n0,sK35) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f244,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) )
| sP5
| sP4 )
& ! [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,[],[f191]) ).
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) )
=> ( 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(f249,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) )
| sP5
| sP4 )
& ! [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,[sK37,sK38])],[f247,f248]) ).
fof(f360,plain,
( leq(n0,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f242]) ).
fof(f361,plain,
( leq(n0,sK34)
| ~ sP5 ),
inference(cnf_transformation,[],[f242]) ).
fof(f362,plain,
( leq(sK33,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f242]) ).
fof(f363,plain,
( leq(sK34,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f242]) ).
fof(f364,plain,
( a_select3(r_ds1_filter,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f242]) ).
fof(f365,plain,
( leq(n0,sK35)
| ~ sP4 ),
inference(cnf_transformation,[],[f246]) ).
fof(f366,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f246]) ).
fof(f367,plain,
( leq(sK35,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f246]) ).
fof(f368,plain,
( leq(sK36,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f246]) ).
fof(f369,plain,
( a_select3(q_ds1_filter,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
| ~ sP4 ),
inference(cnf_transformation,[],[f246]) ).
fof(f372,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,[],[f249]) ).
fof(f373,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,[],[f249]) ).
fof(f375,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,[],[f249]) ).
fof(f377,plain,
( leq(n0,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f249]) ).
fof(f378,plain,
( leq(n0,sK38)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f249]) ).
fof(f379,plain,
( leq(sK37,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f249]) ).
fof(f380,plain,
( leq(sK38,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f249]) ).
fof(f381,plain,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_157,plain,
( a_select3(r_ds1_filter,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_158,plain,
( ~ sP5
| leq(sK34,minus(n3,n1)) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_159,plain,
( ~ sP5
| leq(sK33,minus(n3,n1)) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_160,plain,
( ~ sP5
| leq(n0,sK34) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_161,plain,
( ~ sP5
| leq(n0,sK33) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_162,plain,
( a_select3(q_ds1_filter,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
| ~ sP4 ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_163,plain,
( ~ sP4
| leq(sK36,minus(n6,n1)) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_164,plain,
( ~ sP4
| leq(sK35,minus(n6,n1)) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_165,plain,
( ~ sP4
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_166,plain,
( ~ sP4
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_167,negated_conjecture,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_168,negated_conjecture,
( leq(sK38,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_169,negated_conjecture,
( leq(sK37,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_170,negated_conjecture,
( leq(n0,sK38)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_171,negated_conjecture,
( leq(n0,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_173,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,[],[f375]) ).
cnf(c_175,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,[],[f373]) ).
cnf(c_176,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,[],[f372]) ).
cnf(c_16634,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK38)
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0)
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_168,c_173]) ).
cnf(c_16755,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0)
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_16634,c_170,c_16634]) ).
cnf(c_16756,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0)
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_16755]) ).
cnf(c_16770,plain,
( ~ leq(n0,sK37)
| a_select3(pminus_ds1_filter,sK37,sK38) = a_select3(pminus_ds1_filter,sK38,sK37)
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_169,c_16756]) ).
cnf(c_16779,plain,
( sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_16770,c_171,c_167,c_16770]) ).
cnf(c_16906,plain,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK34)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK34) = a_select3(r_ds1_filter,sK34,X0) ),
inference(superposition,[status(thm)],[c_158,c_175]) ).
cnf(c_16922,plain,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK33)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK33) = a_select3(r_ds1_filter,sK33,X0) ),
inference(superposition,[status(thm)],[c_159,c_175]) ).
cnf(c_16940,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK36)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK36) = a_select3(q_ds1_filter,sK36,X0) ),
inference(superposition,[status(thm)],[c_163,c_176]) ).
cnf(c_16973,plain,
( ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1))
| ~ sP5
| a_select3(r_ds1_filter,X0,sK34) = a_select3(r_ds1_filter,sK34,X0) ),
inference(global_subsumption_just,[status(thm)],[c_16906,c_160,c_16906]) ).
cnf(c_16974,plain,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK34) = a_select3(r_ds1_filter,sK34,X0) ),
inference(renaming,[status(thm)],[c_16973]) ).
cnf(c_16986,plain,
( ~ leq(n0,sK33)
| ~ sP5
| a_select3(r_ds1_filter,sK33,sK34) = a_select3(r_ds1_filter,sK34,sK33) ),
inference(superposition,[status(thm)],[c_159,c_16974]) ).
cnf(c_16993,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_16922,c_161,c_157,c_16986]) ).
cnf(c_16999,plain,
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,sK36) = a_select3(q_ds1_filter,sK36,X0) ),
inference(global_subsumption_just,[status(thm)],[c_16940,c_171,c_165,c_161,c_167,c_157,c_16770,c_16940,c_16986]) ).
cnf(c_17044,plain,
leq(sK35,minus(n6,n1)),
inference(global_subsumption_just,[status(thm)],[c_164,c_164,c_16779,c_16993]) ).
cnf(c_17048,plain,
( ~ leq(n0,sK35)
| a_select3(q_ds1_filter,sK35,sK36) = a_select3(q_ds1_filter,sK36,sK35) ),
inference(superposition,[status(thm)],[c_17044,c_16999]) ).
cnf(c_17082,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17048,c_16993,c_16779,c_162,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 29 04:05:40 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.15 % SZS status Started for theBenchmark.p
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.15
% 0.46/1.15 ------ iProver source info
% 0.46/1.15
% 0.46/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.15 git: non_committed_changes: false
% 0.46/1.15 git: last_make_outside_of_git: false
% 0.46/1.15
% 0.46/1.15 ------ Parsing...
% 0.46/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.15
% 0.46/1.15 ------ 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
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.15 ------ Proving...
% 0.46/1.15 ------ Problem Properties
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses 178
% 0.46/1.15 conjectures 11
% 0.46/1.15 EPR 59
% 0.46/1.15 Horn 122
% 0.46/1.15 unary 64
% 0.46/1.15 binary 44
% 0.46/1.15 lits 561
% 0.46/1.15 lits eq 128
% 0.46/1.15 fd_pure 0
% 0.46/1.15 fd_pseudo 0
% 0.46/1.15 fd_cond 7
% 0.46/1.15 fd_pseudo_cond 4
% 0.46/1.15 AC symbols 0
% 0.46/1.15
% 0.46/1.15 ------ Schedule dynamic 5 is on
% 0.46/1.15
% 0.46/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------
% 0.46/1.15 Current options:
% 0.46/1.15 ------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Proving...
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.16
%------------------------------------------------------------------------------