TSTP Solution File: SWV117+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV117+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 03:13:32 EDT 2024
% Result : Theorem 7.96s 1.69s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_pred) ).
fof(f53,conjecture,
( ( ! [X27] :
( ( leq(X27,minus(plus(n1,minus(n6,n1)),n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28) )
=> 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(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X29] :
( ( leq(X29,minus(n6,n1))
& leq(n0,X29) )
=> ! [X30] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30) )
=> a_select3(id_ds1_filter,X29,X30) = a_select3(id_ds1_filter,X30,X29) ) )
& ! [X18,X14] :
( ( leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(pminus_ds1_filter,X18,X14) = a_select3(pminus_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(X15,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0010) ).
fof(f54,negated_conjecture,
~ ( ( ! [X27] :
( ( leq(X27,minus(plus(n1,minus(n6,n1)),n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28) )
=> 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(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X29] :
( ( leq(X29,minus(n6,n1))
& leq(n0,X29) )
=> ! [X30] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30) )
=> a_select3(id_ds1_filter,X29,X30) = a_select3(id_ds1_filter,X30,X29) ) )
& ! [X18,X14] :
( ( leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(pminus_ds1_filter,X18,X14) = a_select3(pminus_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(X15,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f124,plain,
~ ( ( ! [X0] :
( ( leq(X0,minus(plus(n1,minus(n6,n1)),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(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X8] :
( ( leq(X8,minus(n6,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [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) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(rectify,[],[f54]) ).
fof(f166,plain,
( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| ? [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) )
| ~ 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(plus(n1,minus(n6,n1)),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(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(ennf_transformation,[],[f124]) ).
fof(f167,plain,
( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| ? [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) )
| ~ 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(plus(n1,minus(n6,n1)),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(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& 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) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f192,plain,
( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| 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(plus(n1,minus(n6,n1)),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(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(definition_folding,[],[f167,f191,f190,f189]) ).
fof(f240,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) )
| ~ sP6 ),
inference(nnf_transformation,[],[f191]) ).
fof(f241,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,[],[f240]) ).
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) )
=> ( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
& leq(sK35,minus(n6,n1))
& leq(sK34,minus(n6,n1))
& leq(n0,sK35)
& leq(n0,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
& leq(sK35,minus(n6,n1))
& leq(sK34,minus(n6,n1))
& leq(n0,sK35)
& leq(n0,sK34) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f241,f242]) ).
fof(f244,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(f245,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,[],[f244]) ).
fof(f246,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,sK36,sK37) != a_select3(r_ds1_filter,sK37,sK36)
& leq(sK37,minus(n3,n1))
& leq(sK36,minus(n3,n1))
& leq(n0,sK37)
& leq(n0,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f247,plain,
( ( a_select3(r_ds1_filter,sK36,sK37) != a_select3(r_ds1_filter,sK37,sK36)
& leq(sK37,minus(n3,n1))
& leq(sK36,minus(n3,n1))
& leq(n0,sK37)
& leq(n0,sK36) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f245,f246]) ).
fof(f248,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(f249,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,[],[f248]) ).
fof(f250,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,sK38,sK39) != a_select3(q_ds1_filter,sK39,sK38)
& leq(sK39,minus(n6,n1))
& leq(sK38,minus(n6,n1))
& leq(n0,sK39)
& leq(n0,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ( a_select3(q_ds1_filter,sK38,sK39) != a_select3(q_ds1_filter,sK39,sK38)
& leq(sK39,minus(n6,n1))
& leq(sK38,minus(n6,n1))
& leq(n0,sK39)
& leq(n0,sK38) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f249,f250]) ).
fof(f252,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) )
| 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(plus(n1,minus(n6,n1)),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(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(rectify,[],[f192]) ).
fof(f253,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,sK40,X1) != a_select3(id_ds1_filter,X1,sK40)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK40,minus(n6,n1))
& leq(n0,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK40,X1) != a_select3(id_ds1_filter,X1,sK40)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK40,sK41) != a_select3(id_ds1_filter,sK41,sK40)
& leq(sK41,minus(n6,n1))
& leq(n0,sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ( ( a_select3(id_ds1_filter,sK40,sK41) != a_select3(id_ds1_filter,sK41,sK40)
& leq(sK41,minus(n6,n1))
& leq(n0,sK41)
& leq(sK40,minus(n6,n1))
& leq(n0,sK40) )
| 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(plus(n1,minus(n6,n1)),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(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(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f252,f254,f253]) ).
fof(f336,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f337,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f346,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f348,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f366,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f243]) ).
fof(f367,plain,
( leq(n0,sK35)
| ~ sP6 ),
inference(cnf_transformation,[],[f243]) ).
fof(f368,plain,
( leq(sK34,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f243]) ).
fof(f369,plain,
( leq(sK35,minus(n6,n1))
| ~ sP6 ),
inference(cnf_transformation,[],[f243]) ).
fof(f370,plain,
( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f243]) ).
fof(f371,plain,
( leq(n0,sK36)
| ~ sP5 ),
inference(cnf_transformation,[],[f247]) ).
fof(f372,plain,
( leq(n0,sK37)
| ~ sP5 ),
inference(cnf_transformation,[],[f247]) ).
fof(f373,plain,
( leq(sK36,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f247]) ).
fof(f374,plain,
( leq(sK37,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f247]) ).
fof(f375,plain,
( a_select3(r_ds1_filter,sK36,sK37) != a_select3(r_ds1_filter,sK37,sK36)
| ~ sP5 ),
inference(cnf_transformation,[],[f247]) ).
fof(f376,plain,
( leq(n0,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f251]) ).
fof(f377,plain,
( leq(n0,sK39)
| ~ sP4 ),
inference(cnf_transformation,[],[f251]) ).
fof(f378,plain,
( leq(sK38,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f251]) ).
fof(f379,plain,
( leq(sK39,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f251]) ).
fof(f380,plain,
( a_select3(q_ds1_filter,sK38,sK39) != a_select3(q_ds1_filter,sK39,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f251]) ).
fof(f381,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f255]) ).
fof(f382,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f255]) ).
fof(f383,plain,
! [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) ),
inference(cnf_transformation,[],[f255]) ).
fof(f384,plain,
! [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) ),
inference(cnf_transformation,[],[f255]) ).
fof(f385,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,[],[f255]) ).
fof(f386,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(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f255]) ).
fof(f387,plain,
( leq(n0,sK40)
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f255]) ).
fof(f388,plain,
( leq(sK40,minus(n6,n1))
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f255]) ).
fof(f389,plain,
( leq(n0,sK41)
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f255]) ).
fof(f390,plain,
( leq(sK41,minus(n6,n1))
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f255]) ).
fof(f391,plain,
( a_select3(id_ds1_filter,sK40,sK41) != a_select3(id_ds1_filter,sK41,sK40)
| sP6
| sP5
| sP4
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f255]) ).
fof(f448,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f337,f336]) ).
fof(f458,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f348,f336,f346]) ).
cnf(c_129,plain,
plus(X0,n1) = plus(n1,X0),
inference(cnf_transformation,[],[f448]) ).
cnf(c_139,plain,
plus(minus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f458]) ).
cnf(c_157,plain,
( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_158,plain,
( ~ sP6
| leq(sK35,minus(n6,n1)) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_159,plain,
( ~ sP6
| leq(sK34,minus(n6,n1)) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_160,plain,
( ~ sP6
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_161,plain,
( ~ sP6
| leq(n0,sK34) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_162,plain,
( a_select3(r_ds1_filter,sK36,sK37) != a_select3(r_ds1_filter,sK37,sK36)
| ~ sP5 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_163,plain,
( ~ sP5
| leq(sK37,minus(n3,n1)) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_164,plain,
( ~ sP5
| leq(sK36,minus(n3,n1)) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_165,plain,
( ~ sP5
| leq(n0,sK37) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_166,plain,
( ~ sP5
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_167,plain,
( a_select3(q_ds1_filter,sK38,sK39) != a_select3(q_ds1_filter,sK39,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_168,plain,
( ~ sP4
| leq(sK39,minus(n6,n1)) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_169,plain,
( ~ sP4
| leq(sK38,minus(n6,n1)) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_170,plain,
( ~ sP4
| leq(n0,sK39) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_171,plain,
( ~ sP4
| leq(n0,sK38) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_172,negated_conjecture,
( a_select3(id_ds1_filter,sK40,sK41) != a_select3(id_ds1_filter,sK41,sK40)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_173,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(sK41,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_174,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,sK41)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_175,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(sK40,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_176,negated_conjecture,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,sK40)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_177,negated_conjecture,
( ~ leq(X0,minus(plus(n1,minus(n6,n1)),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,[],[f386]) ).
cnf(c_178,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,[],[f385]) ).
cnf(c_179,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,[],[f384]) ).
cnf(c_180,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,[],[f383]) ).
cnf(c_181,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f382]) ).
cnf(c_182,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f381]) ).
cnf(c_326,negated_conjecture,
( leq(n0,sK40)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_176,c_182,c_181,c_176]) ).
cnf(c_328,negated_conjecture,
( leq(n0,sK41)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_174,c_182,c_181,c_174]) ).
cnf(c_330,negated_conjecture,
( leq(sK40,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_175,c_182,c_181,c_175]) ).
cnf(c_332,negated_conjecture,
( leq(sK41,minus(n6,n1))
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_173,c_182,c_181,c_173]) ).
cnf(c_334,negated_conjecture,
( a_select3(id_ds1_filter,sK40,sK41) != a_select3(id_ds1_filter,sK41,sK40)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_172,c_182,c_181,c_172]) ).
cnf(c_2023,plain,
plus(n1,minus(X0,n1)) = X0,
inference(demodulation,[status(thm)],[c_139,c_129]) ).
cnf(c_2449,plain,
( ~ 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(demodulation,[status(thm)],[c_177,c_2023]) ).
cnf(c_7581,plain,
a_select3(id_ds1_filter,sK40,sK41) = sP0_iProver_def,
definition ).
cnf(c_7582,plain,
a_select3(id_ds1_filter,sK41,sK40) = sP1_iProver_def,
definition ).
cnf(c_7583,plain,
minus(n6,n1) = sP2_iProver_def,
definition ).
cnf(c_7585,plain,
minus(n3,n1) = sP4_iProver_def,
definition ).
cnf(c_7586,negated_conjecture,
( sP0_iProver_def != sP1_iProver_def
| sP6
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_334,c_7582,c_7581]) ).
cnf(c_7587,negated_conjecture,
( leq(sK41,sP2_iProver_def)
| sP6
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_332,c_7583]) ).
cnf(c_7588,negated_conjecture,
( leq(sK40,sP2_iProver_def)
| sP6
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_330]) ).
cnf(c_7589,negated_conjecture,
( leq(n0,sK41)
| sP6
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_328]) ).
cnf(c_7590,negated_conjecture,
( leq(n0,sK40)
| sP6
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_326]) ).
cnf(c_7593,negated_conjecture,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(X1,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
inference(demodulation,[status(thm)],[c_180]) ).
cnf(c_7594,negated_conjecture,
( ~ leq(X0,sP4_iProver_def)
| ~ leq(X1,sP4_iProver_def)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
inference(demodulation,[status(thm)],[c_179,c_7585]) ).
cnf(c_7595,negated_conjecture,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(X1,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) ),
inference(demodulation,[status(thm)],[c_178]) ).
cnf(c_11683,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(X1,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(light_normalisation,[status(thm)],[c_2449,c_7583]) ).
cnf(c_11696,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK41,sP2_iProver_def)
| a_select3(id_ds1_filter,X0,sK41) = a_select3(id_ds1_filter,sK41,X0)
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_7589,c_11683]) ).
cnf(c_11697,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK40,sP2_iProver_def)
| a_select3(id_ds1_filter,X0,sK40) = a_select3(id_ds1_filter,sK40,X0)
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_7590,c_11683]) ).
cnf(c_11776,plain,
( ~ leq(n0,X0)
| ~ leq(X0,sP2_iProver_def)
| a_select3(id_ds1_filter,X0,sK41) = a_select3(id_ds1_filter,sK41,X0)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_11696,c_7587,c_11696]) ).
cnf(c_11777,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| a_select3(id_ds1_filter,X0,sK41) = a_select3(id_ds1_filter,sK41,X0)
| sP6
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_11776]) ).
cnf(c_11794,plain,
( ~ leq(sK40,sP2_iProver_def)
| a_select3(id_ds1_filter,sK40,sK41) = a_select3(id_ds1_filter,sK41,sK40)
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_7590,c_11777]) ).
cnf(c_11795,plain,
( ~ leq(sK40,sP2_iProver_def)
| sP0_iProver_def = sP1_iProver_def
| sP6
| sP5
| sP4 ),
inference(light_normalisation,[status(thm)],[c_11794,c_7581,c_7582]) ).
cnf(c_11806,plain,
( sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_11697,c_7586,c_7588,c_11795]) ).
cnf(c_11838,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK35,sP2_iProver_def)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK35) = a_select3(pminus_ds1_filter,sK35,X0) ),
inference(superposition,[status(thm)],[c_160,c_7595]) ).
cnf(c_11973,plain,
( ~ leq(X0,sP4_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK37,sP4_iProver_def)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK37) = a_select3(r_ds1_filter,sK37,X0) ),
inference(superposition,[status(thm)],[c_165,c_7594]) ).
cnf(c_12108,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK39,sP2_iProver_def)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK39) = a_select3(q_ds1_filter,sK39,X0) ),
inference(superposition,[status(thm)],[c_170,c_7593]) ).
cnf(c_12849,plain,
( ~ sP6
| leq(sK35,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_158,c_7583]) ).
cnf(c_12854,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK35) = a_select3(pminus_ds1_filter,sK35,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11838,c_12849]) ).
cnf(c_12971,plain,
( ~ sP5
| leq(sK37,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_163,c_7585]) ).
cnf(c_12976,plain,
( ~ leq(X0,sP4_iProver_def)
| ~ leq(n0,X0)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK37) = a_select3(r_ds1_filter,sK37,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11973,c_12971]) ).
cnf(c_12993,plain,
( ~ sP4
| leq(sK39,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_168,c_7583]) ).
cnf(c_12998,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK39) = a_select3(q_ds1_filter,sK39,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12108,c_12993]) ).
cnf(c_15812,negated_conjecture,
( sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_7587,c_11806]) ).
cnf(c_16636,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK35,sP2_iProver_def)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK35) = a_select3(pminus_ds1_filter,sK35,X0) ),
inference(superposition,[status(thm)],[c_160,c_7595]) ).
cnf(c_17060,plain,
( ~ leq(n0,X0)
| ~ leq(X0,sP2_iProver_def)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK35) = a_select3(pminus_ds1_filter,sK35,X0) ),
inference(global_subsumption_just,[status(thm)],[c_16636,c_12854]) ).
cnf(c_17061,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK35) = a_select3(pminus_ds1_filter,sK35,X0) ),
inference(renaming,[status(thm)],[c_17060]) ).
cnf(c_17431,plain,
( ~ leq(sK34,sP2_iProver_def)
| ~ sP6
| a_select3(pminus_ds1_filter,sK34,sK35) = a_select3(pminus_ds1_filter,sK35,sK34) ),
inference(superposition,[status(thm)],[c_161,c_17061]) ).
cnf(c_17441,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK34,sP2_iProver_def)
| ~ sP6
| a_select3(pminus_ds1_filter,X0,sK34) = a_select3(pminus_ds1_filter,sK34,X0) ),
inference(superposition,[status(thm)],[c_161,c_7595]) ).
cnf(c_18159,plain,
( ~ leq(X0,sP4_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK37,sP4_iProver_def)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK37) = a_select3(r_ds1_filter,sK37,X0) ),
inference(superposition,[status(thm)],[c_165,c_7594]) ).
cnf(c_18777,plain,
( ~ leq(X0,sP4_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK36,sP4_iProver_def)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK36) = a_select3(r_ds1_filter,sK36,X0) ),
inference(superposition,[status(thm)],[c_166,c_7594]) ).
cnf(c_19328,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK39,sP2_iProver_def)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK39) = a_select3(q_ds1_filter,sK39,X0) ),
inference(superposition,[status(thm)],[c_170,c_7593]) ).
cnf(c_19999,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK38,sP2_iProver_def)
| ~ sP4
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0) ),
inference(superposition,[status(thm)],[c_171,c_7595]) ).
cnf(c_20664,plain,
( ~ sP6
| ~ leq(sK34,sP2_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_17441,c_157,c_17431]) ).
cnf(c_20665,plain,
( ~ leq(sK34,sP2_iProver_def)
| ~ sP6 ),
inference(renaming,[status(thm)],[c_20664]) ).
cnf(c_20747,plain,
( ~ leq(n0,X0)
| ~ leq(X0,sP4_iProver_def)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK37) = a_select3(r_ds1_filter,sK37,X0) ),
inference(global_subsumption_just,[status(thm)],[c_18159,c_12976]) ).
cnf(c_20748,plain,
( ~ leq(X0,sP4_iProver_def)
| ~ leq(n0,X0)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK37) = a_select3(r_ds1_filter,sK37,X0) ),
inference(renaming,[status(thm)],[c_20747]) ).
cnf(c_20761,plain,
( ~ leq(sK36,sP4_iProver_def)
| ~ sP5
| a_select3(r_ds1_filter,sK36,sK37) = a_select3(r_ds1_filter,sK37,sK36) ),
inference(superposition,[status(thm)],[c_166,c_20748]) ).
cnf(c_21597,plain,
( ~ sP5
| ~ leq(sK36,sP4_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_18777,c_162,c_20761]) ).
cnf(c_21598,plain,
( ~ leq(sK36,sP4_iProver_def)
| ~ sP5 ),
inference(renaming,[status(thm)],[c_21597]) ).
cnf(c_21993,plain,
( ~ leq(n0,X0)
| ~ leq(X0,sP2_iProver_def)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK39) = a_select3(q_ds1_filter,sK39,X0) ),
inference(global_subsumption_just,[status(thm)],[c_19328,c_12998]) ).
cnf(c_21994,plain,
( ~ leq(X0,sP2_iProver_def)
| ~ leq(n0,X0)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK39) = a_select3(q_ds1_filter,sK39,X0) ),
inference(renaming,[status(thm)],[c_21993]) ).
cnf(c_22009,plain,
( ~ leq(sK38,sP2_iProver_def)
| ~ sP4
| a_select3(q_ds1_filter,sK38,sK39) = a_select3(q_ds1_filter,sK39,sK38) ),
inference(superposition,[status(thm)],[c_171,c_21994]) ).
cnf(c_22113,plain,
( ~ sP4
| ~ leq(sK38,sP2_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_19999,c_167,c_22009]) ).
cnf(c_22114,plain,
( ~ leq(sK38,sP2_iProver_def)
| ~ sP4 ),
inference(renaming,[status(thm)],[c_22113]) ).
cnf(c_23597,plain,
( ~ sP6
| leq(sK34,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_159,c_7583]) ).
cnf(c_23600,plain,
~ sP6,
inference(forward_subsumption_resolution,[status(thm)],[c_23597,c_20665]) ).
cnf(c_23601,plain,
( sP5
| sP4 ),
inference(backward_subsumption_resolution,[status(thm)],[c_15812,c_23600]) ).
cnf(c_23649,plain,
( ~ sP5
| leq(sK36,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_164,c_7585]) ).
cnf(c_23652,plain,
~ sP5,
inference(forward_subsumption_resolution,[status(thm)],[c_23649,c_21598]) ).
cnf(c_23653,plain,
sP4,
inference(backward_subsumption_resolution,[status(thm)],[c_23601,c_23652]) ).
cnf(c_23654,plain,
~ leq(sK38,sP2_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_22114,c_23653]) ).
cnf(c_23688,plain,
leq(sK38,minus(n6,n1)),
inference(global_subsumption_just,[status(thm)],[c_169,c_169,c_23653]) ).
cnf(c_23690,plain,
leq(sK38,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_23688,c_7583]) ).
cnf(c_23691,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_23654,c_23690]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV117+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 00:43:45 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.96/1.69 % SZS status Started for theBenchmark.p
% 7.96/1.69 % SZS status Theorem for theBenchmark.p
% 7.96/1.69
% 7.96/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.96/1.69
% 7.96/1.69 ------ iProver source info
% 7.96/1.69
% 7.96/1.69 git: date: 2024-05-02 19:28:25 +0000
% 7.96/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.96/1.69 git: non_committed_changes: false
% 7.96/1.69
% 7.96/1.69 ------ Parsing...
% 7.96/1.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.96/1.69
% 7.96/1.69 ------ Preprocessing... sup_sim: 18 sf_s rm: 1 0s sf_e pe_s pe_e
% 7.96/1.69
% 7.96/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.96/1.69
% 7.96/1.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.96/1.69 ------ Proving...
% 7.96/1.69 ------ Problem Properties
% 7.96/1.69
% 7.96/1.69
% 7.96/1.69 clauses 188
% 7.96/1.69 conjectures 10
% 7.96/1.69 EPR 65
% 7.96/1.69 Horn 132
% 7.96/1.69 unary 69
% 7.96/1.69 binary 49
% 7.96/1.69 lits 581
% 7.96/1.69 lits eq 134
% 7.96/1.69 fd_pure 0
% 7.96/1.69 fd_pseudo 0
% 7.96/1.69 fd_cond 7
% 7.96/1.69 fd_pseudo_cond 4
% 7.96/1.69 AC symbols 0
% 7.96/1.69
% 7.96/1.69 ------ Schedule dynamic 5 is on
% 7.96/1.69
% 7.96/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.96/1.69
% 7.96/1.69
% 7.96/1.69 ------
% 7.96/1.69 Current options:
% 7.96/1.69 ------
% 7.96/1.69
% 7.96/1.69
% 7.96/1.69
% 7.96/1.69
% 7.96/1.69 ------ Proving...
% 7.96/1.69
% 7.96/1.69
% 7.96/1.69 % SZS status Theorem for theBenchmark.p
% 7.96/1.69
% 7.96/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.96/1.69
% 7.96/1.69
%------------------------------------------------------------------------------