%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV034+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 : n005.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 03:16:16 PM UTC 2026
% Result : Theorem 1.54s 1.29s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f285ERROR: Could not build tree for root c_4776ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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 ) )
& ! [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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0049) ).
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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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 ) )
& ! [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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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 ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f94,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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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 ) )
| ? [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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ 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 ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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 ) )
| ? [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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ 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 ) ),
inference(flattening,[],[f94]) ).
fof(f122,plain,
( ~ sP2
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& init != a_select2(s_center7_init,X8) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f123,plain,
( ~ sP2
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) ) ),
inference(rectify,[],[f122]) ).
fof(f124,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)],[f123]) ).
fof(f125,plain,
( ~ sP1
| ? [X9] :
( leq(X9,minus(n3,n1))
& leq(n0,X9)
& init != a_select2(s_try7_init,X9) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f126,plain,
( ~ sP1
| ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) ) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
( ~ sP1
| ( leq(sK4,minus(n3,n1))
& leq(n0,sK4)
& init != a_select2(s_try7_init,sK4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f126]) ).
fof(f131,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| init = a_select2(s_try7_init,X5) )
& ! [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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ 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 ) ),
inference(rectify,[],[f121]) ).
fof(f132,plain,
( ( ~ gt(loopcounter,n1)
| ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| init = a_select2(s_try7_init,X5) )
& ! [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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ 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 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f131]) ).
fof(f136,plain,
( ~ sP2
| leq(sK3,n2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f137,plain,
( ~ sP2
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f138,plain,
( ~ sP2
| init != a_select2(s_center7_init,sK3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f139,plain,
( ~ sP1
| leq(sK4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f140,plain,
( ~ sP1
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f141,plain,
( ~ sP1
| init != a_select2(s_try7_init,sK4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f147,plain,
( ~ gt(loopcounter,n1)
| init = pvar1402_init ),
inference(cnf_transformation,[],[f132]) ).
fof(f148,plain,
( ~ gt(loopcounter,n1)
| init = pvar1401_init ),
inference(cnf_transformation,[],[f132]) ).
fof(f149,plain,
( ~ gt(loopcounter,n1)
| init = pvar1400_init ),
inference(cnf_transformation,[],[f132]) ).
fof(f150,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| init = a_select2(s_try7_init,X5) ),
inference(cnf_transformation,[],[f132]) ).
fof(f151,plain,
! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| init = a_select2(s_center7_init,X4) ),
inference(cnf_transformation,[],[f132]) ).
fof(f152,plain,
! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f153,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,[],[f132]) ).
fof(f154,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f132]) ).
fof(f155,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f132]) ).
fof(f156,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f132]) ).
fof(f157,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f132]) ).
fof(f158,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f132]) ).
fof(f159,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f132]) ).
fof(f160,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f132]) ).
fof(f161,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f132]) ).
fof(f162,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f132]) ).
fof(f163,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f132]) ).
fof(f242,plain,
( ~ sP2
| s_sworst7_init != a_select2(s_center7_init,sK3) ),
inference(definition_unfolding,[],[f138,f163]) ).
fof(f243,plain,
( ~ sP1
| s_sworst7_init != a_select2(s_try7_init,sK4) ),
inference(definition_unfolding,[],[f141,f163]) ).
fof(f251,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f162,f163]) ).
fof(f252,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,[],[f153,f163]) ).
fof(f253,plain,
! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| s_sworst7_init = a_select2(s_values7_init,X3) ),
inference(definition_unfolding,[],[f152,f163]) ).
fof(f254,plain,
! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| s_sworst7_init = a_select2(s_center7_init,X4) ),
inference(definition_unfolding,[],[f151,f163]) ).
fof(f255,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| s_sworst7_init = a_select2(s_try7_init,X5) ),
inference(definition_unfolding,[],[f150,f163]) ).
fof(f256,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1400_init ),
inference(definition_unfolding,[],[f149,f163]) ).
fof(f257,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1401_init ),
inference(definition_unfolding,[],[f148,f163]) ).
fof(f258,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1402_init ),
inference(definition_unfolding,[],[f147,f163]) ).
tcf(c_49,negated_conjecture,
( ~ sP2
| ( a_select2(s_center7_init,sK3) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_50,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_51,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_52,negated_conjecture,
( ~ sP1
| ( a_select2(s_try7_init,sK4) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_53,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_54,plain,
( leq(sK4,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_60,negated_conjecture,
( sP0
| sP1
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( 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,[],[f285]) ).
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,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init )
| ( a_select2(s_values7_init,sK7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f286]) ).
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,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( 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,[],[f287]) ).
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,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init ) ),
inference(cnf_transformation,[],[f288]) ).
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,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( 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,[],[f289]) ).
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,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init ) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_66,negated_conjecture,
s_sworst7_init = s_worst7_init,
inference(cnf_transformation,[],[f251]) ).
tcf(c_67,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f161]) ).
tcf(c_68,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f160]) ).
tcf(c_69,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f159]) ).
tcf(c_70,negated_conjecture,
leq(n0,pv19),
inference(cnf_transformation,[],[f158]) ).
tcf(c_71,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f157]) ).
tcf(c_72,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f156]) ).
tcf(c_73,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f155]) ).
tcf(c_74,negated_conjecture,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_75,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,[],[f252]) ).
tcf(c_76,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_values7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_center7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_78,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_try7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_79,negated_conjecture,
( ( s_sworst7_init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_80,negated_conjecture,
( ( s_sworst7_init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_81,negated_conjecture,
( ( s_sworst7_init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_180,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( s_sworst7_init != s_worst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_65]) ).
tcf(c_181,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(sK7,n3) ),
inference(global_subsumption_just,[status(thm)],[c_180,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_74,c_180]) ).
tcf(c_183,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( s_sworst7_init != s_worst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_63]) ).
tcf(c_184,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(n0,sK7) ),
inference(global_subsumption_just,[status(thm)],[c_183,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_74,c_183]) ).
tcf(c_186,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( 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_189,plain,
( sP0
| sP1
| sP2
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( 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_190,plain,
( sP0
| sP1
| sP2
| leq(sK7,n3) ),
inference(global_subsumption_just,[status(thm)],[c_189,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_74,c_81,c_80,c_79,c_181,c_189]) ).
tcf(c_192,plain,
( sP0
| sP1
| sP2
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( 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_193,plain,
( sP0
| sP1
| sP2
| leq(n0,sK7) ),
inference(global_subsumption_just,[status(thm)],[c_192,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_74,c_81,c_80,c_79,c_184,c_192]) ).
tcf(c_195,plain,
( sP0
| sP1
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ( 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_196,plain,
( sP0
| sP1
| sP2
| ( a_select2(s_values7_init,sK7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_195,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_74,c_81,c_80,c_79,c_186,c_195]) ).
tcf(c_4378,plain,
( sP0
| sP1
| sP2
| ( a_select2(s_values7_init,sK7) = s_sworst7_init )
| ~ leq(sK7,n3) ),
inference(superposition,[status(thm)],[c_193,c_76]) ).
tcf(c_4397,plain,
( sP0
| sP1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_196,c_190,c_196,c_4378]) ).
tcf(c_4438,plain,
( ( a_select2(s_center7_init,sK3) = s_sworst7_init )
| ~ sP2
| ~ leq(sK3,n2) ),
inference(superposition,[status(thm)],[c_50,c_77]) ).
tcf(c_4452,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_49,c_4438]) ).
tcf(c_4636,plain,
( ( a_select2(s_try7_init,sK4) = s_sworst7_init )
| ~ sP1
| ~ leq(n0,sK4) ),
inference(superposition,[status(thm)],[c_54,c_78]) ).
tcf(c_4691,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_4636,c_53,c_52,c_4636]) ).
tcf(c_4775,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_75]) ).
fof(f118,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(f119,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(f120,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(f121,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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& 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
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) )
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ 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 ) ),
inference(definition_folding,[],[f95,f120,f119,f118]) ).
fof(f128,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,[],[f118]) ).
fof(f129,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,[],[f128]) ).
fof(f130,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)],[f129]) ).
fof(f142,plain,
( ~ sP0
| leq(sK5,n2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f143,plain,
( ~ sP0
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f130]) ).
fof(f144,plain,
( ~ sP0
| leq(sK6,n3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f145,plain,
( ~ sP0
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f130]) ).
fof(f146,plain,
( ~ sP0
| init != a_select3(simplex7_init,sK6,sK5) ),
inference(cnf_transformation,[],[f130]) ).
fof(f244,plain,
( ~ sP0
| s_sworst7_init != a_select3(simplex7_init,sK6,sK5) ),
inference(definition_unfolding,[],[f146,f163]) ).
tcf(c_55,negated_conjecture,
( ~ sP0
| ( a_select3(simplex7_init,sK6,sK5) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_56,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_57,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_58,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_59,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_4776,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4775,c_4691,c_4452,c_4397,c_55,c_56,c_57,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV034+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 18:21:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.54/1.29 % SZS status Started for theBenchmark.p
% 1.54/1.29 % SZS status Theorem for theBenchmark.p
% 1.54/1.29
% 1.54/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.54/1.29
% 1.54/1.29 % ------ iProver source info
% 1.54/1.29
% 1.54/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.54/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.54/1.29 % git: non_committed_changes: false
% 1.54/1.29
% 1.54/1.29 % ------ Parsing...
% 1.54/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.54/1.29
% 1.54/1.29 % ------ 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 %
% 1.54/1.29
% 1.54/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.54/1.29
% 1.54/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.54/1.29 % ------ Proving...
% 1.54/1.29 % ------ Problem Properties
% 1.54/1.29
% 1.54/1.29 %
% 1.54/1.29 % clauses 98
% 1.54/1.29 % conjectures 19
% 1.54/1.29 % EPR 61
% 1.54/1.29 % Horn 88
% 1.54/1.29 % unary 57
% 1.54/1.29 % binary 24
% 1.54/1.29 % lits 176
% 1.54/1.29 % lits eq 52
% 1.54/1.29 % fd_pure 0
% 1.54/1.29 % fd_pseudo 0
% 1.54/1.29 % fd_cond 6
% 1.54/1.29 % fd_pseudo_cond 2
% 1.54/1.29 % AC symbols 0
% 1.54/1.29
% 1.54/1.29 % ------ Schedule dynamic 5 is on
% 1.54/1.29
% 1.54/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.54/1.29
% 1.54/1.29
% 1.54/1.29 % ------
% 1.54/1.29 % Current options:
% 1.54/1.29 % ------
% 1.54/1.29
% 1.54/1.29
% 1.54/1.29 %
% 1.54/1.29
% 1.54/1.29 % ------ Proving...
% 1.54/1.29 %
% 1.54/1.29
% 1.54/1.29 % SZS status Theorem for theBenchmark.p
% 1.54/1.29
% 1.54/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/1.29
% 1.54/1.29
%------------------------------------------------------------------------------