%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV038+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 1.11s 1.18s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f277ERROR: Could not build tree for root c_4686ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X4] :
( ( leq(X4,minus(n3,n1))
& leq(n0,X4) )
=> a_select2(s_try7_init,X4) = 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 )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X9] :
( ( leq(X9,minus(n3,n1))
& leq(n0,X9) )
=> a_select2(s_try7_init,X9) = init )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> a_select2(s_center7_init,X8) = init )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> a_select2(s_values7_init,X7) = init )
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> a_select3(simplex7_init,X6,X5) = 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
& init = init ) )
& init = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0065) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X4] :
( ( leq(X4,minus(n3,n1))
& leq(n0,X4) )
=> a_select2(s_try7_init,X4) = 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 )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X9] :
( ( leq(X9,minus(n3,n1))
& leq(n0,X9) )
=> a_select2(s_try7_init,X9) = init )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> a_select2(s_center7_init,X8) = init )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> a_select2(s_values7_init,X7) = init )
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> a_select3(simplex7_init,X6,X5) = 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
& init = init ) )
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| a_select2(s_try7_init,X4) = 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
& ( ( n0 = pv1413
& ~ true )
| ( n0 != pv1413
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X9] :
( leq(X9,minus(n3,n1))
& leq(n0,X9)
& init != a_select2(s_try7_init,X9) )
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& init != a_select2(s_center7_init,X8) )
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) )
| ? [X5] :
( leq(X5,n2)
& leq(n0,X5)
& ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select3(simplex7_init,X6,X5) ) )
| ~ 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(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| a_select2(s_try7_init,X4) = 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
& ( ( n0 = pv1413
& ~ true )
| ( n0 != pv1413
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X9] :
( leq(X9,minus(n3,n1))
& leq(n0,X9)
& init != a_select2(s_try7_init,X9) )
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& init != a_select2(s_center7_init,X8) )
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) )
| ? [X5] :
( leq(X5,n2)
& leq(n0,X5)
& ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select3(simplex7_init,X6,X5) ) )
| ~ 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(flattening,[],[f87]) ).
fof(f119,plain,
( ~ sP2
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& init != a_select2(s_center7_init,X8) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f120,plain,
( ~ sP2
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) ) ),
inference(rectify,[],[f119]) ).
fof(f121,plain,
( ~ sP2
| ( leq(sK5,n2)
& leq(n0,sK5)
& init != a_select2(s_center7_init,sK5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f120]) ).
fof(f122,plain,
( ~ sP1
| ? [X9] :
( leq(X9,minus(n3,n1))
& leq(n0,X9)
& init != a_select2(s_try7_init,X9) ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f123,plain,
( ~ sP1
| ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
( ~ sP1
| ( leq(sK6,minus(n3,n1))
& leq(n0,sK6)
& init != a_select2(s_try7_init,sK6) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f123]) ).
fof(f138,plain,
( ~ sP2
| leq(sK5,n2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f139,plain,
( ~ sP2
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f121]) ).
fof(f140,plain,
( ~ sP2
| init != a_select2(s_center7_init,sK5) ),
inference(cnf_transformation,[],[f121]) ).
fof(f141,plain,
( ~ sP1
| leq(sK6,minus(n3,n1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f142,plain,
( ~ sP1
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f124]) ).
fof(f143,plain,
( ~ sP1
| init != a_select2(s_try7_init,sK6) ),
inference(cnf_transformation,[],[f124]) ).
fof(f149,plain,
( ~ gt(loopcounter,n1)
| init = pvar1402_init ),
inference(cnf_transformation,[],[f115]) ).
fof(f150,plain,
( ~ gt(loopcounter,n1)
| init = pvar1401_init ),
inference(cnf_transformation,[],[f115]) ).
fof(f151,plain,
( ~ gt(loopcounter,n1)
| init = pvar1400_init ),
inference(cnf_transformation,[],[f115]) ).
fof(f152,plain,
! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| init = a_select2(s_try7_init,X4) ),
inference(cnf_transformation,[],[f115]) ).
fof(f153,plain,
! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| init = a_select2(s_center7_init,X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f154,plain,
! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select2(s_values7_init,X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f155,plain,
! [X0,X1] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| init = a_select3(simplex7_init,X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f156,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f115]) ).
fof(f157,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f115]) ).
fof(f158,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f115]) ).
fof(f159,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f115]) ).
fof(f160,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f115]) ).
fof(f161,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f115]) ).
fof(f162,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f115]) ).
fof(f163,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f115]) ).
fof(f182,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f238,plain,
( ~ sP2
| s_sworst7_init != a_select2(s_center7_init,sK5) ),
inference(definition_unfolding,[],[f140,f163]) ).
fof(f239,plain,
( ~ sP1
| s_sworst7_init != a_select2(s_try7_init,sK6) ),
inference(definition_unfolding,[],[f143,f163]) ).
fof(f243,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f162,f163]) ).
fof(f244,plain,
! [X0,X1] :
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| s_sworst7_init = a_select3(simplex7_init,X1,X0) ),
inference(definition_unfolding,[],[f155,f163]) ).
fof(f245,plain,
! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| s_sworst7_init = a_select2(s_values7_init,X2) ),
inference(definition_unfolding,[],[f154,f163]) ).
fof(f246,plain,
! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| s_sworst7_init = a_select2(s_center7_init,X3) ),
inference(definition_unfolding,[],[f153,f163]) ).
fof(f247,plain,
! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| s_sworst7_init = a_select2(s_try7_init,X4) ),
inference(definition_unfolding,[],[f152,f163]) ).
fof(f248,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1400_init ),
inference(definition_unfolding,[],[f151,f163]) ).
fof(f249,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1401_init ),
inference(definition_unfolding,[],[f150,f163]) ).
fof(f250,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1402_init ),
inference(definition_unfolding,[],[f149,f163]) ).
tcf(c_49,negated_conjecture,
( sP1
| sP2
| sP0
| ~ sP3
| ~ 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,sK4) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_50,negated_conjecture,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| ~ sP3
| ~ 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,sK4) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_51,negated_conjecture,
( sP1
| sP2
| sP0
| leq(n0,sK4)
| ~ sP3
| ~ 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,[],[f279]) ).
tcf(c_52,negated_conjecture,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(n0,sK4)
| ~ sP3
| ~ 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,[],[f280]) ).
tcf(c_53,negated_conjecture,
( sP1
| sP2
| sP0
| leq(sK4,n3)
| ~ sP3
| ~ 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,[],[f281]) ).
tcf(c_54,negated_conjecture,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(sK4,n3)
| ~ sP3
| ~ 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,[],[f282]) ).
tcf(c_56,negated_conjecture,
( ~ sP2
| ( a_select2(s_center7_init,sK5) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_57,plain,
( leq(n0,sK5)
| ~ sP2 ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_58,plain,
( leq(sK5,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_59,negated_conjecture,
( ~ sP1
| ( a_select2(s_try7_init,sK6) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_60,plain,
( leq(n0,sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_61,plain,
( leq(sK6,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_67,negated_conjecture,
( sP3
| ~ true ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_69,negated_conjecture,
s_sworst7_init = s_worst7_init,
inference(cnf_transformation,[],[f243]) ).
tcf(c_70,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f161]) ).
tcf(c_71,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f160]) ).
tcf(c_72,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f159]) ).
tcf(c_73,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f158]) ).
tcf(c_74,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f157]) ).
tcf(c_75,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f156]) ).
tcf(c_76,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,[],[f244]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_values7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_78,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_center7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_79,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_try7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_80,negated_conjecture,
( ( s_sworst7_init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_81,negated_conjecture,
( ( s_sworst7_init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_82,negated_conjecture,
( ( s_sworst7_init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_98,plain,
true,
inference(cnf_transformation,[],[f182]) ).
tcf(c_181,plain,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(sK4,n3)
| ~ sP3
| ~ 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_54]) ).
tcf(c_184,plain,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(n0,sK4)
| ~ sP3
| ~ 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_52]) ).
tcf(c_187,plain,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| ~ sP3
| ~ 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,sK4) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_50]) ).
tcf(c_190,plain,
( sP1
| sP2
| sP0
| leq(sK4,n3)
| ~ sP3
| ~ 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_53]) ).
tcf(c_191,plain,
( sP1
| sP2
| sP0
| leq(sK4,n3) ),
inference(global_subsumption_just,[status(thm)],[c_190,c_98,c_75,c_74,c_73,c_72,c_71,c_70,c_67,c_69,c_82,c_81,c_80,c_181,c_190]) ).
tcf(c_193,plain,
( sP1
| sP2
| sP0
| leq(n0,sK4)
| ~ sP3
| ~ 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_51]) ).
tcf(c_194,plain,
( sP1
| sP2
| sP0
| leq(n0,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_193,c_98,c_75,c_74,c_73,c_72,c_71,c_70,c_67,c_69,c_82,c_81,c_80,c_184,c_193]) ).
tcf(c_196,plain,
( sP1
| sP2
| sP0
| ~ sP3
| ~ 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,sK4) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_49]) ).
tcf(c_197,plain,
( sP1
| sP2
| sP0
| ( a_select2(s_values7_init,sK4) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_196,c_98,c_75,c_74,c_73,c_72,c_71,c_70,c_67,c_69,c_82,c_81,c_80,c_187,c_196]) ).
tcf(c_4277,plain,
( sP1
| sP2
| sP0
| ( a_select2(s_values7_init,sK4) = s_sworst7_init )
| ~ leq(sK4,n3) ),
inference(superposition,[status(thm)],[c_194,c_77]) ).
tcf(c_4296,plain,
( sP1
| sP2
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_197,c_191,c_197,c_4277]) ).
tcf(c_4313,plain,
( ( a_select2(s_center7_init,sK5) = s_sworst7_init )
| ~ sP2
| ~ leq(sK5,n2) ),
inference(superposition,[status(thm)],[c_57,c_78]) ).
tcf(c_4343,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_4313,c_58,c_56,c_4313]) ).
tcf(c_4505,plain,
( ( a_select2(s_try7_init,sK6) = s_sworst7_init )
| ~ sP1
| ~ leq(n0,sK6) ),
inference(superposition,[status(thm)],[c_61,c_79]) ).
tcf(c_4550,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_4505,c_60,c_59,c_4505]) ).
tcf(c_4685,plain,
( ( a_select3(simplex7_init,sK8,sK7) = s_sworst7_init )
| ~ leq(sK7,n2)
| ~ leq(sK8,n3)
| ~ leq(n0,sK7)
| ~ leq(n0,sK8) ),
inference(instantiation,[status(thm)],[c_76]) ).
fof(f111,definition,
( ~ sP0
| ? [X5] :
( leq(X5,n2)
& leq(n0,X5)
& ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select3(simplex7_init,X6,X5) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f112,definition,
( ~ sP1
| ? [X9] :
( leq(X9,minus(n3,n1))
& leq(n0,X9)
& init != a_select2(s_try7_init,X9) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f113,definition,
( ~ sP2
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& init != a_select2(s_center7_init,X8) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f114,definition,
( ~ sP3
| ( n0 != pv1413
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| sP1
| sP2
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) )
| 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
| init != init ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f115,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| a_select2(s_try7_init,X4) = 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
& ( ( n0 = pv1413
& ~ true )
| sP3
| init != init ) ),
inference(definition_folding,[],[f88,f114,f113,f112,f111]) ).
fof(f125,plain,
( ~ sP0
| ? [X5] :
( leq(X5,n2)
& leq(n0,X5)
& ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select3(simplex7_init,X6,X5) ) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f126,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,[],[f125]) ).
fof(f127,plain,
( ~ sP0
| ( leq(sK7,n2)
& leq(n0,sK7)
& leq(sK8,n3)
& leq(n0,sK8)
& init != a_select3(simplex7_init,sK8,sK7) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f126]) ).
fof(f144,plain,
( ~ sP0
| leq(sK7,n2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f145,plain,
( ~ sP0
| leq(n0,sK7) ),
inference(cnf_transformation,[],[f127]) ).
fof(f146,plain,
( ~ sP0
| leq(sK8,n3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f147,plain,
( ~ sP0
| leq(n0,sK8) ),
inference(cnf_transformation,[],[f127]) ).
fof(f148,plain,
( ~ sP0
| init != a_select3(simplex7_init,sK8,sK7) ),
inference(cnf_transformation,[],[f127]) ).
fof(f240,plain,
( ~ sP0
| s_sworst7_init != a_select3(simplex7_init,sK8,sK7) ),
inference(definition_unfolding,[],[f148,f163]) ).
tcf(c_62,negated_conjecture,
( ~ sP0
| ( a_select3(simplex7_init,sK8,sK7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_63,plain,
( leq(n0,sK8)
| ~ sP0 ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_64,plain,
( leq(sK8,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_65,plain,
( leq(n0,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_66,plain,
( leq(sK7,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_4686,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4685,c_4550,c_4343,c_4296,c_62,c_63,c_64,c_65,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV038+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 18:23:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 1.11/1.18 % SZS status Started for theBenchmark.p
% 1.11/1.18 % SZS status Theorem for theBenchmark.p
% 1.11/1.18
% 1.11/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.11/1.18
% 1.11/1.18 % ------ iProver source info
% 1.11/1.18
% 1.11/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.11/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.11/1.18 % git: non_committed_changes: false
% 1.11/1.18
% 1.11/1.18 % ------ Parsing...
% 1.11/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.11/1.18
% 1.11/1.18 % ------ Preprocessing... sup_sim: 10 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 %
% 1.11/1.18
% 1.11/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.11/1.18
% 1.11/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.11/1.18 % ------ Proving...
% 1.11/1.18 % ------ Problem Properties
% 1.11/1.18
% 1.11/1.18 %
% 1.11/1.18 % clauses 90
% 1.11/1.18 % conjectures 17
% 1.11/1.18 % EPR 54
% 1.11/1.18 % Horn 80
% 1.11/1.18 % unary 49
% 1.11/1.18 % binary 24
% 1.11/1.18 % lits 168
% 1.11/1.18 % lits eq 53
% 1.11/1.18 % fd_pure 0
% 1.11/1.18 % fd_pseudo 0
% 1.11/1.18 % fd_cond 6
% 1.11/1.18 % fd_pseudo_cond 2
% 1.11/1.18 % AC symbols 0
% 1.11/1.18
% 1.11/1.18 % ------ Schedule dynamic 5 is on
% 1.11/1.18
% 1.11/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.11/1.18
% 1.11/1.18
% 1.11/1.18 % ------
% 1.11/1.18 % Current options:
% 1.11/1.18 % ------
% 1.11/1.18
% 1.11/1.18
% 1.11/1.18 %
% 1.11/1.18
% 1.11/1.18 % ------ Proving...
% 1.11/1.18 %
% 1.11/1.18
% 1.11/1.18 % SZS status Theorem for theBenchmark.p
% 1.11/1.18
% 1.11/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.11/1.19
% 1.11/1.19
%------------------------------------------------------------------------------