TSTP Solution File: SWV039+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV039+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 22:30:52 EDT 2023
% Result : Theorem 0.51s 1.21s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f459)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_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(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X4] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> init = a_select2(s_try7_init,X4) )
& ! [X28] :
( ( leq(X28,n2)
& leq(n0,X28) )
=> init = a_select2(s_center7_init,X28) )
& ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select2(s_values7_init,X27) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> ! [X21] :
( ( leq(X21,n3)
& leq(n0,X21) )
=> init = a_select3(simplex7_init,X21,X20) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0069) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X4] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> init = a_select2(s_try7_init,X4) )
& ! [X28] :
( ( leq(X28,n2)
& leq(n0,X28) )
=> init = a_select2(s_center7_init,X28) )
& ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select2(s_values7_init,X27) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> ! [X21] :
( ( leq(X21,n3)
& leq(n0,X21) )
=> init = a_select3(simplex7_init,X21,X20) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f107,plain,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> init = a_select2(s_center7_init,X0) )
& ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> init = a_select2(s_values7_init,X1) )
& ! [X2] :
( ( leq(X2,n2)
& leq(n0,X2) )
=> ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select3(simplex7_init,X3,X2) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X4] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> init = a_select2(s_try7_init,X4) )
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> init = a_select2(s_center7_init,X5) )
& ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> init = a_select2(s_values7_init,X6) )
& ! [X7] :
( ( leq(X7,n2)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n3)
& leq(n0,X8) )
=> init = a_select3(simplex7_init,X8,X7) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ) ),
inference(rectify,[],[f54]) ).
fof(f109,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f110,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f114,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f115,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f114]) ).
fof(f149,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X4] :
( init != a_select2(s_try7_init,X4)
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(X1,n3)
| ~ leq(n0,X1) )
& ! [X2] :
( ! [X3] :
( init = a_select3(simplex7_init,X3,X2)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(ennf_transformation,[],[f107]) ).
fof(f150,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X4] :
( init != a_select2(s_try7_init,X4)
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(X1,n3)
| ~ leq(n0,X1) )
& ! [X2] :
( ! [X3] :
( init = a_select3(simplex7_init,X3,X2)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(flattening,[],[f149]) ).
fof(f170,plain,
( ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f171,plain,
( ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f172,plain,
( ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f173,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X4] :
( init != a_select2(s_try7_init,X4)
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| sP6
| sP5
| sP4
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(X1,n3)
| ~ leq(n0,X1) )
& ! [X2] :
( ! [X3] :
( init = a_select3(simplex7_init,X3,X2)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(definition_folding,[],[f150,f172,f171,f170]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f221,plain,
( ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ~ sP6 ),
inference(nnf_transformation,[],[f172]) ).
fof(f222,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP6 ),
inference(rectify,[],[f221]) ).
fof(f223,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
=> ( init != a_select2(s_center7_init,sK34)
& leq(sK34,n2)
& leq(n0,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
( ( init != a_select2(s_center7_init,sK34)
& leq(sK34,n2)
& leq(n0,sK34) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f222,f223]) ).
fof(f225,plain,
( ? [X6] :
( init != a_select2(s_values7_init,X6)
& leq(X6,n3)
& leq(n0,X6) )
| ~ sP5 ),
inference(nnf_transformation,[],[f171]) ).
fof(f226,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f225]) ).
fof(f227,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
=> ( init != a_select2(s_values7_init,sK35)
& leq(sK35,n3)
& leq(n0,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ( init != a_select2(s_values7_init,sK35)
& leq(sK35,n3)
& leq(n0,sK35) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f226,f227]) ).
fof(f229,plain,
( ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ sP4 ),
inference(nnf_transformation,[],[f170]) ).
fof(f230,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP4 ),
inference(rectify,[],[f229]) ).
fof(f231,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ? [X1] :
( init != a_select3(simplex7_init,X1,sK36)
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK36,n2)
& leq(n0,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( ? [X1] :
( init != a_select3(simplex7_init,X1,sK36)
& leq(X1,n3)
& leq(n0,X1) )
=> ( init != a_select3(simplex7_init,sK37,sK36)
& leq(sK37,n3)
& leq(n0,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ( init != a_select3(simplex7_init,sK37,sK36)
& leq(sK37,n3)
& leq(n0,sK37)
& leq(sK36,n2)
& leq(n0,sK36) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f230,f232,f231]) ).
fof(f234,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
| sP6
| sP5
| sP4
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(rectify,[],[f173]) ).
fof(f235,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_try7_init,sK38)
& leq(sK38,minus(n0,n1))
& leq(n0,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ( init != a_select2(s_try7_init,sK38)
& leq(sK38,minus(n0,n1))
& leq(n0,sK38) )
| sP6
| sP5
| sP4
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f234,f235]) ).
fof(f237,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f238,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f239,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f243,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f244,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f327,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f347,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f224]) ).
fof(f348,plain,
( leq(sK34,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f224]) ).
fof(f349,plain,
( init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f224]) ).
fof(f350,plain,
( leq(n0,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f228]) ).
fof(f351,plain,
( leq(sK35,n3)
| ~ sP5 ),
inference(cnf_transformation,[],[f228]) ).
fof(f352,plain,
( init != a_select2(s_values7_init,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f228]) ).
fof(f353,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f233]) ).
fof(f354,plain,
( leq(sK36,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f233]) ).
fof(f355,plain,
( leq(n0,sK37)
| ~ sP4 ),
inference(cnf_transformation,[],[f233]) ).
fof(f356,plain,
( leq(sK37,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f233]) ).
fof(f357,plain,
( init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f233]) ).
fof(f359,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f236]) ).
fof(f360,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f236]) ).
fof(f361,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f236]) ).
fof(f362,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f236]) ).
fof(f363,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f236]) ).
fof(f364,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f236]) ).
fof(f365,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f236]) ).
fof(f366,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f236]) ).
fof(f367,plain,
! [X3,X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f368,plain,
! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f236]) ).
fof(f369,plain,
! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f370,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f371,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f372,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f413,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f244,f327]) ).
fof(f433,plain,
( s_worst7_init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(definition_unfolding,[],[f349,f360]) ).
fof(f434,plain,
( s_worst7_init != a_select2(s_values7_init,sK35)
| ~ sP5 ),
inference(definition_unfolding,[],[f352,f360]) ).
fof(f435,plain,
( s_worst7_init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(definition_unfolding,[],[f357,f360]) ).
fof(f442,plain,
( s_worst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f372,f360]) ).
fof(f443,plain,
( s_worst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f371,f360]) ).
fof(f444,plain,
( s_worst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f370,f360]) ).
fof(f445,plain,
! [X1] :
( s_worst7_init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f369,f360]) ).
fof(f446,plain,
! [X2] :
( s_worst7_init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f368,f360]) ).
fof(f447,plain,
! [X3,X4] :
( s_worst7_init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f367,f360]) ).
fof(f448,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f359,f360]) ).
cnf(c_49,plain,
( X0 = X1
| gt(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_50,plain,
( ~ gt(X0,X1)
| ~ gt(X1,X2)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_51,plain,
~ gt(X0,X0),
inference(cnf_transformation,[],[f239]) ).
cnf(c_55,plain,
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_57,plain,
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_157,negated_conjecture,
( a_select2(s_center7_init,sK34) != s_worst7_init
| ~ sP6 ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_158,plain,
( ~ sP6
| leq(sK34,n2) ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_159,plain,
( ~ sP6
| leq(n0,sK34) ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_160,negated_conjecture,
( a_select2(s_values7_init,sK35) != s_worst7_init
| ~ sP5 ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_161,plain,
( ~ sP5
| leq(sK35,n3) ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_162,plain,
( ~ sP5
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_163,negated_conjecture,
( a_select3(simplex7_init,sK37,sK36) != s_worst7_init
| ~ sP4 ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_164,plain,
( ~ sP4
| leq(sK37,n3) ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_165,plain,
( ~ sP4
| leq(n0,sK37) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_166,plain,
( ~ sP4
| leq(sK36,n2) ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_167,plain,
( ~ sP4
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f353]) ).
cnf(c_169,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n0,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f458]) ).
cnf(c_170,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_172,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n0,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_173,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_174,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1402_init ),
inference(cnf_transformation,[],[f442]) ).
cnf(c_175,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1401_init ),
inference(cnf_transformation,[],[f443]) ).
cnf(c_176,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1400_init ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_177,negated_conjecture,
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| a_select2(s_center7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_178,negated_conjecture,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| a_select2(s_values7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_179,negated_conjecture,
( ~ leq(X0,n2)
| ~ leq(X1,n3)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f447]) ).
cnf(c_180,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f366]) ).
cnf(c_181,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f365]) ).
cnf(c_182,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f364]) ).
cnf(c_183,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f363]) ).
cnf(c_184,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f362]) ).
cnf(c_185,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f361]) ).
cnf(c_186,negated_conjecture,
s_worst7_init = s_sworst7_init,
inference(cnf_transformation,[],[f448]) ).
cnf(c_220,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_251,plain,
( n0 = n0
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_312,plain,
( s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_173]) ).
cnf(c_313,plain,
( gt(loopcounter,n1)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_312,c_185,c_184,c_183,c_182,c_181,c_180,c_186,c_312]) ).
cnf(c_315,plain,
( s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n0,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_172]) ).
cnf(c_316,plain,
( leq(sK38,minus(n0,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_315,c_185,c_184,c_183,c_182,c_181,c_180,c_186,c_315]) ).
cnf(c_321,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_170]) ).
cnf(c_322,plain,
( leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_321,c_185,c_184,c_183,c_182,c_181,c_180,c_186,c_176,c_175,c_174,c_313,c_321]) ).
cnf(c_324,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n0,n1))
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_169]) ).
cnf(c_325,plain,
( leq(sK38,minus(n0,n1))
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_324,c_185,c_184,c_183,c_182,c_181,c_180,c_186,c_176,c_175,c_174,c_316,c_324]) ).
cnf(c_12948,plain,
( X0 != X1
| X2 != X3
| ~ gt(X1,X3)
| gt(X0,X2) ),
theory(equality) ).
cnf(c_16394,plain,
( ~ leq(sK34,n3)
| ~ sP6
| a_select2(s_values7_init,sK34) = s_worst7_init ),
inference(superposition,[status(thm)],[c_159,c_178]) ).
cnf(c_16395,plain,
( ~ leq(sK34,n2)
| ~ sP6
| a_select2(s_center7_init,sK34) = s_worst7_init ),
inference(superposition,[status(thm)],[c_159,c_177]) ).
cnf(c_16422,plain,
( ~ leq(sK35,n3)
| ~ sP5
| a_select2(s_values7_init,sK35) = s_worst7_init ),
inference(superposition,[status(thm)],[c_162,c_178]) ).
cnf(c_16476,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_16394,c_158,c_157,c_16395]) ).
cnf(c_16482,plain,
( leq(n0,sK38)
| sP5
| sP4 ),
inference(backward_subsumption_resolution,[status(thm)],[c_322,c_16476]) ).
cnf(c_16502,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_16422,c_161,c_160,c_16422]) ).
cnf(c_16553,plain,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| ~ leq(sK36,n2)
| ~ sP4
| a_select3(simplex7_init,X0,sK36) = s_worst7_init ),
inference(superposition,[status(thm)],[c_167,c_179]) ).
cnf(c_16577,plain,
( leq(n0,sK38)
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_16482,c_322,c_16476,c_16502]) ).
cnf(c_17236,plain,
( ~ leq(sK38,minus(n0,n1))
| gt(n0,sK38) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_18945,plain,
( ~ gt(sK38,X0)
| ~ gt(n0,sK38)
| gt(n0,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_18947,plain,
( ~ gt(n0,sK38)
| ~ gt(sK38,n0)
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[c_18945]) ).
cnf(c_18948,plain,
( X0 != n0
| X1 != sK38
| ~ gt(n0,sK38)
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_12948]) ).
cnf(c_18949,plain,
( n0 != n0
| n0 != sK38
| ~ gt(n0,sK38)
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[c_18948]) ).
cnf(c_19348,plain,
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| ~ sP4
| a_select3(simplex7_init,X0,sK36) = s_worst7_init ),
inference(global_subsumption_just,[status(thm)],[c_16553,c_166,c_16553]) ).
cnf(c_19349,plain,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| ~ sP4
| a_select3(simplex7_init,X0,sK36) = s_worst7_init ),
inference(renaming,[status(thm)],[c_19348]) ).
cnf(c_19371,plain,
( ~ leq(sK37,n3)
| ~ sP4
| a_select3(simplex7_init,sK37,sK36) = s_worst7_init ),
inference(superposition,[status(thm)],[c_165,c_19349]) ).
cnf(c_19375,plain,
( ~ leq(s_best7,n3)
| ~ sP4
| a_select3(simplex7_init,s_best7,sK36) = s_worst7_init ),
inference(superposition,[status(thm)],[c_185,c_19349]) ).
cnf(c_19401,plain,
( ~ sP4
| a_select3(simplex7_init,s_best7,sK36) = s_worst7_init ),
inference(forward_subsumption_resolution,[status(thm)],[c_19375,c_182]) ).
cnf(c_19517,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_19401,c_164,c_163,c_19371]) ).
cnf(c_19525,plain,
leq(n0,sK38),
inference(backward_subsumption_resolution,[status(thm)],[c_16577,c_19517]) ).
cnf(c_20653,plain,
( n0 = sK38
| gt(sK38,n0) ),
inference(superposition,[status(thm)],[c_19525,c_55]) ).
cnf(c_20763,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20653,c_19517,c_18949,c_18947,c_17236,c_16502,c_16476,c_325,c_251,c_220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV039+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 04:04:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.51/1.21 % SZS status Started for theBenchmark.p
% 0.51/1.21 % SZS status Theorem for theBenchmark.p
% 0.51/1.21
% 0.51/1.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.51/1.21
% 0.51/1.21 ------ iProver source info
% 0.51/1.21
% 0.51/1.21 git: date: 2023-05-31 18:12:56 +0000
% 0.51/1.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.51/1.21 git: non_committed_changes: false
% 0.51/1.21 git: last_make_outside_of_git: false
% 0.51/1.21
% 0.51/1.21 ------ Parsing...
% 0.51/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.51/1.21
% 0.51/1.21 ------ Preprocessing... sup_sim: 16 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
% 0.51/1.21
% 0.51/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.51/1.21
% 0.51/1.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.51/1.21 ------ Proving...
% 0.51/1.21 ------ Problem Properties
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 clauses 167
% 0.51/1.21 conjectures 16
% 0.51/1.21 EPR 55
% 0.51/1.21 Horn 114
% 0.51/1.21 unary 53
% 0.51/1.21 binary 48
% 0.51/1.21 lits 537
% 0.51/1.21 lits eq 124
% 0.51/1.21 fd_pure 0
% 0.51/1.21 fd_pseudo 0
% 0.51/1.21 fd_cond 6
% 0.51/1.21 fd_pseudo_cond 4
% 0.51/1.21 AC symbols 0
% 0.51/1.21
% 0.51/1.21 ------ Schedule dynamic 5 is on
% 0.51/1.21
% 0.51/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 ------
% 0.51/1.21 Current options:
% 0.51/1.21 ------
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 ------ Proving...
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 % SZS status Theorem for theBenchmark.p
% 0.51/1.21
% 0.51/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.21
% 0.51/1.21
%------------------------------------------------------------------------------