%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV039+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:16:17 PM UTC 2026
% Result : Theorem 5.01s 2.37s
% Output : CNFRefutation 5.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f267ERROR: Could not build tree for root c_17644ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> a_select2(s_center7_init,X3) = init )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X8] :
( ( leq(X8,minus(n0,n1))
& leq(n0,X8) )
=> a_select2(s_try7_init,X8) = init )
& ! [X7] :
( ( leq(X7,n2)
& leq(n0,X7) )
=> a_select2(s_center7_init,X7) = init )
& ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> a_select2(s_values7_init,X6) = init )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> a_select3(simplex7_init,X5,X4) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0069) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> a_select2(s_center7_init,X3) = init )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X8] :
( ( leq(X8,minus(n0,n1))
& leq(n0,X8) )
=> a_select2(s_try7_init,X8) = init )
& ! [X7] :
( ( leq(X7,n2)
& leq(n0,X7) )
=> a_select2(s_center7_init,X7) = init )
& ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> a_select2(s_values7_init,X6) = init )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> a_select3(simplex7_init,X5,X4) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| a_select2(s_center7_init,X3) = init )
& ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X8] :
( leq(X8,minus(n0,n1))
& leq(n0,X8)
& init != a_select2(s_try7_init,X8) )
| ? [X7] :
( leq(X7,n2)
& leq(n0,X7)
& init != a_select2(s_center7_init,X7) )
| ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select2(s_values7_init,X6) )
| ? [X4] :
( leq(X4,n2)
& leq(n0,X4)
& ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4) ) )
| ~ 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,[],[f54]) ).
fof(f88,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| a_select2(s_center7_init,X3) = init )
& ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X8] :
( leq(X8,minus(n0,n1))
& leq(n0,X8)
& init != a_select2(s_try7_init,X8) )
| ? [X7] :
( leq(X7,n2)
& leq(n0,X7)
& init != a_select2(s_center7_init,X7) )
| ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select2(s_values7_init,X6) )
| ? [X4] :
( leq(X4,n2)
& leq(n0,X4)
& ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4) ) )
| ~ 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,[],[f87]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f98]) ).
fof(f115,plain,
( ~ sP2
| ? [X7] :
( leq(X7,n2)
& leq(n0,X7)
& init != a_select2(s_center7_init,X7) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f116,plain,
( ~ sP2
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
( ~ sP2
| ( leq(sK3,n2)
& leq(n0,sK3)
& init != a_select2(s_center7_init,sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f116]) ).
fof(f118,plain,
( ~ sP1
| ? [X8] :
( leq(X8,minus(n0,n1))
& leq(n0,X8)
& init != a_select2(s_try7_init,X8) ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f119,plain,
( ~ sP1
| ? [X0] :
( leq(X0,minus(n0,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
( ~ sP1
| ( leq(sK4,minus(n0,n1))
& leq(n0,sK4)
& init != a_select2(s_try7_init,sK4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f119]) ).
fof(f124,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| init = a_select2(s_center7_init,X4) )
& ! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) )
& ! [X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| sP1
| sP2
| ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) )
| sP0
| ~ 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,[],[f114]) ).
fof(f125,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| init = a_select2(s_center7_init,X4) )
& ! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) )
& ! [X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| sP1
| sP2
| ( leq(sK7,n3)
& leq(n0,sK7)
& init != a_select2(s_values7_init,sK7) )
| sP0
| ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f124]) ).
fof(f128,plain,
! [X0,X1] :
( ( ~ leq(X0,pred(X1))
| gt(X1,X0) )
& ( ~ gt(X1,X0)
| leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f129,plain,
( ~ sP2
| leq(sK3,n2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f130,plain,
( ~ sP2
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f131,plain,
( ~ sP2
| init != a_select2(s_center7_init,sK3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f132,plain,
( ~ sP1
| leq(sK4,minus(n0,n1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f133,plain,
( ~ sP1
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f120]) ).
fof(f140,plain,
( ~ gt(loopcounter,n1)
| init = pvar1402_init ),
inference(cnf_transformation,[],[f125]) ).
fof(f141,plain,
( ~ gt(loopcounter,n1)
| init = pvar1401_init ),
inference(cnf_transformation,[],[f125]) ).
fof(f142,plain,
( ~ gt(loopcounter,n1)
| init = pvar1400_init ),
inference(cnf_transformation,[],[f125]) ).
fof(f143,plain,
! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| init = a_select2(s_center7_init,X4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f144,plain,
! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f145,plain,
! [X2,X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f146,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f125]) ).
fof(f147,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f125]) ).
fof(f148,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f125]) ).
fof(f149,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f125]) ).
fof(f150,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f125]) ).
fof(f151,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f125]) ).
fof(f152,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f125]) ).
fof(f153,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f125]) ).
fof(f169,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f201,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f222,plain,
! [X0,X1] :
( ~ leq(X0,pred(X1))
| gt(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f225,plain,
( ~ sP2
| s_sworst7_init != a_select2(s_center7_init,sK3) ),
inference(definition_unfolding,[],[f131,f153]) ).
fof(f234,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f152,f153]) ).
fof(f235,plain,
! [X2,X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2)
| s_sworst7_init = a_select3(simplex7_init,X2,X1) ),
inference(definition_unfolding,[],[f145,f153]) ).
fof(f236,plain,
! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| s_sworst7_init = a_select2(s_values7_init,X3) ),
inference(definition_unfolding,[],[f144,f153]) ).
fof(f237,plain,
! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| s_sworst7_init = a_select2(s_center7_init,X4) ),
inference(definition_unfolding,[],[f143,f153]) ).
fof(f238,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1400_init ),
inference(definition_unfolding,[],[f142,f153]) ).
fof(f239,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1401_init ),
inference(definition_unfolding,[],[f141,f153]) ).
fof(f240,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1402_init ),
inference(definition_unfolding,[],[f140,f153]) ).
fof(f266,plain,
! [X0,X1] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f222,f201]) ).
tcf(c_49,negated_conjecture,
( ~ sP2
| ( a_select2(s_center7_init,sK3) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_50,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_51,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_53,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_54,plain,
( leq(sK4,minus(n0,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_60,negated_conjecture,
( sP0
| sP1
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init )
| ( a_select2(s_values7_init,sK7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_61,negated_conjecture,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init )
| ( a_select2(s_values7_init,sK7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_62,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init ) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_63,negated_conjecture,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init ) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_64,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init ) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_65,negated_conjecture,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init ) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_66,negated_conjecture,
s_sworst7_init = s_worst7_init,
inference(cnf_transformation,[],[f234]) ).
tcf(c_67,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f151]) ).
tcf(c_68,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f150]) ).
tcf(c_69,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f149]) ).
tcf(c_70,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f148]) ).
tcf(c_71,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f147]) ).
tcf(c_72,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f146]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(simplex7_init,X0,X1) = s_sworst7_init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_values7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_center7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_76,negated_conjecture,
( ( s_sworst7_init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_77,negated_conjecture,
( ( s_sworst7_init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_78,negated_conjecture,
( ( s_sworst7_init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_87,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f169]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_169,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != s_worst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_65]) ).
tcf(c_172,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != s_worst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_63]) ).
tcf(c_175,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != s_worst7_init )
| ( a_select2(s_values7_init,sK7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_61]) ).
tcf(c_178,plain,
( sP0
| sP1
| sP2
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( s_sworst7_init != s_worst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_64]) ).
tcf(c_179,plain,
( sP0
| sP1
| sP2
| leq(sK7,n3) ),
inference(global_subsumption_just,[status(thm)],[c_178,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_78,c_77,c_76,c_169,c_178]) ).
tcf(c_181,plain,
( sP0
| sP1
| sP2
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( s_sworst7_init != s_worst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_62]) ).
tcf(c_182,plain,
( sP0
| sP1
| sP2
| leq(n0,sK7) ),
inference(global_subsumption_just,[status(thm)],[c_181,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_78,c_77,c_76,c_172,c_181]) ).
tcf(c_184,plain,
( sP0
| sP1
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( s_sworst7_init != s_worst7_init )
| ( a_select2(s_values7_init,sK7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_60]) ).
tcf(c_185,plain,
( sP0
| sP1
| sP2
| ( a_select2(s_values7_init,sK7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_184,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_78,c_77,c_76,c_175,c_184]) ).
tcf(c_4194,plain,
( sP0
| sP1
| sP2
| ( a_select2(s_values7_init,sK7) = s_sworst7_init )
| ~ leq(sK7,n3) ),
inference(superposition,[status(thm)],[c_182,c_74]) ).
tcf(c_4213,plain,
( sP0
| sP1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_185,c_179,c_185,c_4194]) ).
tcf(c_4234,plain,
( ( a_select2(s_center7_init,sK3) = s_sworst7_init )
| ~ sP2
| ~ leq(sK3,n2) ),
inference(superposition,[status(thm)],[c_50,c_75]) ).
tcf(c_4260,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_4234,c_51,c_49,c_4234]) ).
tcf(c_4565,plain,
( ( a_select3(simplex7_init,sK6,sK5) = s_sworst7_init )
| ~ leq(sK5,n2)
| ~ leq(sK6,n3)
| ~ leq(n0,sK5)
| ~ leq(n0,sK6) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_4830,plain,
! [X0: $i] :
( gt(X0,n0)
| ~ leq(n0,minus(X0,n1)) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_5099,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,minus(X1,n1))
| ~ leq(X2,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_5564,plain,
( gt(n0,n0)
| ~ leq(n0,minus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_4830]) ).
tcf(c_5565,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_7746,plain,
! [X0: $i] :
( leq(X0,minus(n0,n1))
| ~ leq(X0,sK4)
| ~ leq(sK4,minus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_5099]) ).
tcf(c_17643,plain,
( leq(n0,minus(n0,n1))
| ~ leq(n0,sK4)
| ~ leq(sK4,minus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_7746]) ).
fof(f111,definition,
( ~ sP0
| ? [X4] :
( leq(X4,n2)
& leq(n0,X4)
& ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f112,definition,
( ~ sP1
| ? [X8] :
( leq(X8,minus(n0,n1))
& leq(n0,X8)
& init != a_select2(s_try7_init,X8) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f113,definition,
( ~ sP2
| ? [X7] :
( leq(X7,n2)
& leq(n0,X7)
& init != a_select2(s_center7_init,X7) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f114,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| a_select2(s_center7_init,X3) = init )
& ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| a_select2(s_values7_init,X2) = init )
& ! [X0] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ! [X1] :
( ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| sP1
| sP2
| ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select2(s_values7_init,X6) )
| sP0
| ~ 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,[],[f88,f113,f112,f111]) ).
fof(f121,plain,
( ~ sP0
| ? [X4] :
( leq(X4,n2)
& leq(n0,X4)
& ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select3(simplex7_init,X5,X4) ) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f122,plain,
( ~ sP0
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
( ~ sP0
| ( leq(sK5,n2)
& leq(n0,sK5)
& leq(sK6,n3)
& leq(n0,sK6)
& init != a_select3(simplex7_init,sK6,sK5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f122]) ).
fof(f135,plain,
( ~ sP0
| leq(sK5,n2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f136,plain,
( ~ sP0
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f137,plain,
( ~ sP0
| leq(sK6,n3) ),
inference(cnf_transformation,[],[f123]) ).
fof(f138,plain,
( ~ sP0
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f123]) ).
fof(f139,plain,
( ~ sP0
| init != a_select3(simplex7_init,sK6,sK5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f227,plain,
( ~ sP0
| s_sworst7_init != a_select3(simplex7_init,sK6,sK5) ),
inference(definition_unfolding,[],[f139,f153]) ).
tcf(c_55,negated_conjecture,
( ~ sP0
| ( a_select3(simplex7_init,sK6,sK5) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_56,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_57,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_58,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_59,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_4317,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK6,X0) = s_sworst7_init )
| ~ sP0
| ~ leq(sK6,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_56,c_73]) ).
tcf(c_4987,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_4317,c_59,c_58,c_57,c_56,c_55,c_4565]) ).
tcf(c_17644,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17643,c_5565,c_5564,c_4987,c_4260,c_4213,c_54,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV039+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n001.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Thu Sep 24 18:28:25 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.49 % Detected problem language: tptp
% 0.22/0.51 % Proving...
% 5.01/2.37 % SZS status Started for theBenchmark.p
% 5.01/2.37 % SZS status Theorem for theBenchmark.p
% 5.01/2.37
% 5.01/2.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.01/2.37
% 5.01/2.37 % ------ iProver source info
% 5.01/2.37
% 5.01/2.37 % git: date: 2026-07-19 20:42:38 +0200
% 5.01/2.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.01/2.37 % git: non_committed_changes: false
% 5.01/2.37
% 5.01/2.37 % ------ Parsing...
% 5.01/2.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.01/2.37
% 5.01/2.37 % ------ Preprocessing... sup_sim: 10 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 %
% 5.01/2.37
% 5.01/2.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.01/2.37
% 5.01/2.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.01/2.37 % ------ Proving...
% 5.01/2.37 % ------ Problem Properties
% 5.01/2.37
% 5.01/2.37 %
% 5.01/2.37 % clauses 88
% 5.01/2.37 % conjectures 16
% 5.01/2.37 % EPR 53
% 5.01/2.37 % Horn 78
% 5.01/2.37 % unary 48
% 5.01/2.37 % binary 24
% 5.01/2.37 % lits 164
% 5.01/2.37 % lits eq 51
% 5.01/2.37 % fd_pure 0
% 5.01/2.37 % fd_pseudo 0
% 5.01/2.37 % fd_cond 6
% 5.01/2.37 % fd_pseudo_cond 2
% 5.01/2.37 % AC symbols 0
% 5.01/2.37
% 5.01/2.37 % ------ Schedule dynamic 5 is on
% 5.01/2.37
% 5.01/2.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.01/2.37
% 5.01/2.37
% 5.01/2.37 % ------
% 5.01/2.37 % Current options:
% 5.01/2.37 % ------
% 5.01/2.37
% 5.01/2.37
% 5.01/2.37 %
% 5.01/2.37
% 5.01/2.37 % ------ Proving...
% 5.01/2.37 %
% 5.01/2.37
% 5.01/2.37 % SZS status Theorem for theBenchmark.p
% 5.01/2.37
% 5.01/2.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.01/2.38
% 5.01/2.38
%------------------------------------------------------------------------------