TSTP Solution File: SWV038+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV038+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 3.68s 1.16s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f466)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [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 )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& 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 = init ) )
& init = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0065) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [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 )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& 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 = init ) )
& init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f107,plain,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X0] :
( ( leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> init = a_select2(s_try7_init,X0) )
& ! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> init = a_select2(s_center7_init,X1) )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select2(s_values7_init,X2) )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> init = a_select3(simplex7_init,X4,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 )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X5] :
( ( leq(X5,minus(n3,n1))
& leq(n0,X5) )
=> init = a_select2(s_try7_init,X5) )
& ! [X6] :
( ( leq(X6,n2)
& leq(n0,X6) )
=> init = a_select2(s_center7_init,X6) )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> init = a_select2(s_values7_init,X7) )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> init = a_select3(simplex7_init,X9,X8) ) )
& 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 = init ) )
& init = init ) ),
inference(rectify,[],[f54]) ).
fof(f148,plain,
( ( ( ~ true
& n0 = pv1413 )
| ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ 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 != init )
& n0 != pv1413 )
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [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(ennf_transformation,[],[f107]) ).
fof(f149,plain,
( ( ( ~ true
& n0 = pv1413 )
| ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ 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 != init )
& n0 != pv1413 )
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [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(flattening,[],[f148]) ).
fof(f169,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f170,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f171,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f172,plain,
( ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| 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 != init )
& n0 != pv1413 )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f173,plain,
( ( ( ~ true
& n0 = pv1413 )
| sP7
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [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(definition_folding,[],[f149,f172,f171,f170,f169]) ).
fof(f225,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP6 ),
inference(nnf_transformation,[],[f171]) ).
fof(f226,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP6 ),
inference(rectify,[],[f225]) ).
fof(f227,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
=> ( init != a_select2(s_center7_init,sK36)
& leq(sK36,n2)
& leq(n0,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ( init != a_select2(s_center7_init,sK36)
& leq(sK36,n2)
& leq(n0,sK36) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f226,f227]) ).
fof(f229,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP5 ),
inference(nnf_transformation,[],[f170]) ).
fof(f230,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f229]) ).
fof(f231,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
=> ( init != a_select2(s_values7_init,sK37)
& leq(sK37,n3)
& leq(n0,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( ( init != a_select2(s_values7_init,sK37)
& leq(sK37,n3)
& leq(n0,sK37) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f230,f231]) ).
fof(f233,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP4 ),
inference(nnf_transformation,[],[f169]) ).
fof(f234,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,[],[f233]) ).
fof(f235,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,sK38)
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK38,n2)
& leq(n0,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ? [X1] :
( init != a_select3(simplex7_init,X1,sK38)
& leq(X1,n3)
& leq(n0,X1) )
=> ( init != a_select3(simplex7_init,sK39,sK38)
& leq(sK39,n3)
& leq(n0,sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
( ( init != a_select3(simplex7_init,sK39,sK38)
& leq(sK39,n3)
& leq(n0,sK39)
& leq(sK38,n2)
& leq(n0,sK38) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f234,f236,f235]) ).
fof(f347,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f356,plain,
( leq(n0,sK36)
| ~ sP6 ),
inference(cnf_transformation,[],[f228]) ).
fof(f357,plain,
( leq(sK36,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f228]) ).
fof(f358,plain,
( init != a_select2(s_center7_init,sK36)
| ~ sP6 ),
inference(cnf_transformation,[],[f228]) ).
fof(f359,plain,
( leq(n0,sK37)
| ~ sP5 ),
inference(cnf_transformation,[],[f232]) ).
fof(f360,plain,
( leq(sK37,n3)
| ~ sP5 ),
inference(cnf_transformation,[],[f232]) ).
fof(f361,plain,
( init != a_select2(s_values7_init,sK37)
| ~ sP5 ),
inference(cnf_transformation,[],[f232]) ).
fof(f362,plain,
( leq(n0,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f237]) ).
fof(f363,plain,
( leq(sK38,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f237]) ).
fof(f364,plain,
( leq(n0,sK39)
| ~ sP4 ),
inference(cnf_transformation,[],[f237]) ).
fof(f365,plain,
( leq(sK39,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f237]) ).
fof(f366,plain,
( init != a_select3(simplex7_init,sK39,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f237]) ).
fof(f368,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f173]) ).
fof(f369,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f173]) ).
fof(f370,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f173]) ).
fof(f371,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f173]) ).
fof(f372,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f173]) ).
fof(f373,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f173]) ).
fof(f374,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f173]) ).
fof(f375,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f173]) ).
fof(f376,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,[],[f173]) ).
fof(f377,plain,
! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f378,plain,
! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f379,plain,
! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f380,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f381,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f382,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f445,plain,
( s_worst7_init != a_select2(s_center7_init,sK36)
| ~ sP6 ),
inference(definition_unfolding,[],[f358,f369]) ).
fof(f446,plain,
( s_worst7_init != a_select2(s_values7_init,sK37)
| ~ sP5 ),
inference(definition_unfolding,[],[f361,f369]) ).
fof(f447,plain,
( s_worst7_init != a_select3(simplex7_init,sK39,sK38)
| ~ sP4 ),
inference(definition_unfolding,[],[f366,f369]) ).
fof(f450,plain,
( s_worst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f382,f369]) ).
fof(f451,plain,
( s_worst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f381,f369]) ).
fof(f452,plain,
( s_worst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f380,f369]) ).
fof(f453,plain,
! [X0] :
( s_worst7_init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(definition_unfolding,[],[f379,f369]) ).
fof(f454,plain,
! [X1] :
( s_worst7_init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f378,f369]) ).
fof(f455,plain,
! [X2] :
( s_worst7_init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f377,f369]) ).
fof(f456,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,[],[f376,f369]) ).
fof(f457,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f368,f369]) ).
cnf(c_156,plain,
true,
inference(cnf_transformation,[],[f347]) ).
cnf(c_158,negated_conjecture,
( a_select2(s_try7_init,sK35) != s_worst7_init
| 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)
| ~ sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f466]) ).
cnf(c_159,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)
| ~ sP7
| leq(sK35,minus(n3,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_160,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)
| ~ sP7
| leq(n0,sK35)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f468]) ).
cnf(c_161,negated_conjecture,
( a_select2(s_try7_init,sK35) != s_worst7_init
| 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)
| ~ sP7
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f469]) ).
cnf(c_162,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)
| ~ sP7
| leq(sK35,minus(n3,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f470]) ).
cnf(c_163,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)
| ~ sP7
| gt(loopcounter,n1)
| leq(n0,sK35)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f471]) ).
cnf(c_165,negated_conjecture,
( a_select2(s_center7_init,sK36) != s_worst7_init
| ~ sP6 ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_166,plain,
( ~ sP6
| leq(sK36,n2) ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_167,plain,
( ~ sP6
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_168,negated_conjecture,
( a_select2(s_values7_init,sK37) != s_worst7_init
| ~ sP5 ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_169,plain,
( ~ sP5
| leq(sK37,n3) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_170,plain,
( ~ sP5
| leq(n0,sK37) ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_171,negated_conjecture,
( a_select3(simplex7_init,sK39,sK38) != s_worst7_init
| ~ sP4 ),
inference(cnf_transformation,[],[f447]) ).
cnf(c_172,plain,
( ~ sP4
| leq(sK39,n3) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_173,plain,
( ~ sP4
| leq(n0,sK39) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_174,plain,
( ~ sP4
| leq(sK38,n2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_175,plain,
( ~ sP4
| leq(n0,sK38) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_176,negated_conjecture,
( ~ true
| sP7 ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_178,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1402_init ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_179,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1401_init ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_180,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1400_init ),
inference(cnf_transformation,[],[f452]) ).
cnf(c_181,negated_conjecture,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| a_select2(s_try7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f453]) ).
cnf(c_182,negated_conjecture,
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| a_select2(s_center7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_183,negated_conjecture,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| a_select2(s_values7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f455]) ).
cnf(c_184,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,[],[f456]) ).
cnf(c_185,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f375]) ).
cnf(c_186,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f374]) ).
cnf(c_187,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f373]) ).
cnf(c_188,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f372]) ).
cnf(c_189,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f371]) ).
cnf(c_190,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f370]) ).
cnf(c_191,negated_conjecture,
s_worst7_init = s_sworst7_init,
inference(cnf_transformation,[],[f457]) ).
cnf(c_324,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)
| ~ sP7
| gt(loopcounter,n1)
| leq(n0,sK35)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_163]) ).
cnf(c_325,plain,
( gt(loopcounter,n1)
| leq(n0,sK35)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_324,c_156,c_190,c_189,c_188,c_187,c_186,c_185,c_176,c_191,c_324]) ).
cnf(c_327,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)
| ~ sP7
| leq(sK35,minus(n3,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_162]) ).
cnf(c_328,plain,
( leq(sK35,minus(n3,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_327,c_156,c_190,c_189,c_188,c_187,c_186,c_185,c_176,c_191,c_327]) ).
cnf(c_330,plain,
( a_select2(s_try7_init,sK35) != 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)
| ~ sP7
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_161]) ).
cnf(c_333,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)
| ~ sP7
| leq(n0,sK35)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_160]) ).
cnf(c_334,plain,
( leq(n0,sK35)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_333,c_156,c_190,c_189,c_188,c_187,c_186,c_185,c_176,c_191,c_180,c_179,c_178,c_325,c_333]) ).
cnf(c_336,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)
| ~ sP7
| leq(sK35,minus(n3,n1))
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_159]) ).
cnf(c_337,plain,
( leq(sK35,minus(n3,n1))
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_336,c_156,c_190,c_189,c_188,c_187,c_186,c_185,c_176,c_191,c_180,c_179,c_178,c_328,c_336]) ).
cnf(c_339,plain,
( a_select2(s_try7_init,sK35) != 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)
| ~ sP7
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_158]) ).
cnf(c_340,plain,
( a_select2(s_try7_init,sK35) != s_worst7_init
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_339,c_156,c_190,c_189,c_188,c_187,c_186,c_185,c_176,c_191,c_180,c_179,c_178,c_330,c_339]) ).
cnf(c_16379,plain,
( ~ leq(n0,sK35)
| a_select2(s_try7_init,sK35) = s_worst7_init
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_337,c_181]) ).
cnf(c_16385,plain,
( sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_340,c_334,c_340,c_16379]) ).
cnf(c_16433,plain,
( ~ leq(sK36,n3)
| ~ sP6
| a_select2(s_values7_init,sK36) = s_worst7_init ),
inference(superposition,[status(thm)],[c_167,c_183]) ).
cnf(c_16434,plain,
( ~ leq(sK36,n2)
| ~ sP6
| a_select2(s_center7_init,sK36) = s_worst7_init ),
inference(superposition,[status(thm)],[c_167,c_182]) ).
cnf(c_16456,plain,
( ~ leq(sK37,n3)
| ~ sP5
| a_select2(s_values7_init,sK37) = s_worst7_init ),
inference(superposition,[status(thm)],[c_170,c_183]) ).
cnf(c_16497,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_16433,c_166,c_165,c_16434]) ).
cnf(c_16499,plain,
( sP5
| sP4 ),
inference(backward_subsumption_resolution,[status(thm)],[c_16385,c_16497]) ).
cnf(c_16504,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_16456,c_169,c_168,c_16456]) ).
cnf(c_16549,plain,
leq(n0,sK38),
inference(global_subsumption_just,[status(thm)],[c_175,c_175,c_169,c_166,c_168,c_165,c_334,c_340,c_16379,c_16434,c_16456]) ).
cnf(c_16552,plain,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| ~ leq(sK38,n2)
| a_select3(simplex7_init,X0,sK38) = s_worst7_init ),
inference(superposition,[status(thm)],[c_16549,c_184]) ).
cnf(c_16568,plain,
sP4,
inference(global_subsumption_just,[status(thm)],[c_16499,c_16385,c_16497,c_16504]) ).
cnf(c_16571,plain,
leq(n0,sK39),
inference(backward_subsumption_resolution,[status(thm)],[c_173,c_16568]) ).
cnf(c_16572,plain,
leq(sK39,n3),
inference(backward_subsumption_resolution,[status(thm)],[c_172,c_16568]) ).
cnf(c_16573,plain,
a_select3(simplex7_init,sK39,sK38) != s_worst7_init,
inference(backward_subsumption_resolution,[status(thm)],[c_171,c_16568]) ).
cnf(c_16878,plain,
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| a_select3(simplex7_init,X0,sK38) = s_worst7_init ),
inference(global_subsumption_just,[status(thm)],[c_16552,c_174,c_169,c_166,c_168,c_165,c_334,c_340,c_16379,c_16434,c_16456,c_16552]) ).
cnf(c_16879,plain,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| a_select3(simplex7_init,X0,sK38) = s_worst7_init ),
inference(renaming,[status(thm)],[c_16878]) ).
cnf(c_16891,plain,
( ~ leq(sK39,n3)
| a_select3(simplex7_init,sK39,sK38) = s_worst7_init ),
inference(superposition,[status(thm)],[c_16571,c_16879]) ).
cnf(c_16898,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16891,c_16573,c_16572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV038+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 08:51:00 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.68/1.16 % SZS status Started for theBenchmark.p
% 3.68/1.16 % SZS status Theorem for theBenchmark.p
% 3.68/1.16
% 3.68/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.68/1.16
% 3.68/1.16 ------ iProver source info
% 3.68/1.16
% 3.68/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.68/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.68/1.16 git: non_committed_changes: false
% 3.68/1.16 git: last_make_outside_of_git: false
% 3.68/1.16
% 3.68/1.16 ------ Parsing...
% 3.68/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.68/1.16
% 3.68/1.16 ------ Preprocessing... sup_sim: 16 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.68/1.16
% 3.68/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.68/1.16
% 3.68/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.68/1.16 ------ Proving...
% 3.68/1.16 ------ Problem Properties
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 clauses 169
% 3.68/1.16 conjectures 17
% 3.68/1.16 EPR 56
% 3.68/1.16 Horn 116
% 3.68/1.16 unary 54
% 3.68/1.16 binary 48
% 3.68/1.16 lits 541
% 3.68/1.16 lits eq 126
% 3.68/1.16 fd_pure 0
% 3.68/1.16 fd_pseudo 0
% 3.68/1.16 fd_cond 6
% 3.68/1.16 fd_pseudo_cond 4
% 3.68/1.16 AC symbols 0
% 3.68/1.16
% 3.68/1.16 ------ Schedule dynamic 5 is on
% 3.68/1.16
% 3.68/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 ------
% 3.68/1.16 Current options:
% 3.68/1.16 ------
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 ------ Proving...
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 % SZS status Theorem for theBenchmark.p
% 3.68/1.16
% 3.68/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/1.16
% 3.68/1.16
%------------------------------------------------------------------------------