%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV024+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 : n015.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 03:16:14 PM UTC 2026
% Result : Theorem 1.09s 1.75s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f309ERROR: Could not build tree for root c_11952ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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 )
=> ( ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& a_select2(s_try7_init,n2) = init
& a_select2(s_try7_init,n1) = init
& a_select2(s_try7_init,n0) = init
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0009) ).
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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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 )
=> ( ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& a_select2(s_try7_init,n2) = init
& a_select2(s_try7_init,n1) = init
& a_select2(s_try7_init,n0) = init
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f73,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f74,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f80,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f99,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f100,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f101,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f102,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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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
& ( ( 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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != a_select2(s_try7_init,n2)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n0)
| init != s_worst7_init
| init != s_sworst7_init
| init != s_best7_init
| init != init ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f103,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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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
& ( ( 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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != a_select2(s_try7_init,n2)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n0)
| init != s_worst7_init
| init != s_sworst7_init
| init != s_best7_init
| init != init ) ),
inference(flattening,[],[f102]) ).
fof(f108,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f130,plain,
( ~ sP2
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& init != a_select2(s_center7_init,X8) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f131,plain,
( ~ sP2
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) ) ),
inference(rectify,[],[f130]) ).
fof(f132,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)],[f131]) ).
fof(f133,plain,
( ~ sP1
| ? [X9] :
( leq(X9,minus(n3,n1))
& leq(n0,X9)
& init != a_select2(s_try7_init,X9) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f134,plain,
( ~ sP1
| ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) ) ),
inference(rectify,[],[f133]) ).
fof(f135,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)],[f134]) ).
fof(f139,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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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
& ( ( 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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != a_select2(s_try7_init,n2)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n0)
| init != s_worst7_init
| init != s_sworst7_init
| init != s_best7_init
| init != init ) ),
inference(rectify,[],[f129]) ).
fof(f140,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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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
& ( ( 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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != a_select2(s_try7_init,n2)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n0)
| init != s_worst7_init
| init != s_sworst7_init
| init != s_best7_init
| init != init ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f139]) ).
fof(f144,plain,
( ~ sP2
| leq(sK3,n2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f145,plain,
( ~ sP2
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f146,plain,
( ~ sP2
| init != a_select2(s_center7_init,sK3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f147,plain,
( ~ sP1
| leq(sK4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f148,plain,
( ~ sP1
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f135]) ).
fof(f149,plain,
( ~ sP1
| init != a_select2(s_try7_init,sK4) ),
inference(cnf_transformation,[],[f135]) ).
fof(f155,plain,
( ~ gt(loopcounter,n1)
| init = pvar1402_init ),
inference(cnf_transformation,[],[f140]) ).
fof(f156,plain,
( ~ gt(loopcounter,n1)
| init = pvar1401_init ),
inference(cnf_transformation,[],[f140]) ).
fof(f157,plain,
( ~ gt(loopcounter,n1)
| init = pvar1400_init ),
inference(cnf_transformation,[],[f140]) ).
fof(f158,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| init = a_select2(s_try7_init,X5) ),
inference(cnf_transformation,[],[f140]) ).
fof(f159,plain,
! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| init = a_select2(s_center7_init,X4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f160,plain,
! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| init = a_select2(s_values7_init,X3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f161,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,[],[f140]) ).
fof(f162,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f140]) ).
fof(f163,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f140]) ).
fof(f165,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f140]) ).
fof(f166,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f140]) ).
fof(f167,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f140]) ).
fof(f168,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f140]) ).
fof(f169,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f140]) ).
fof(f170,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f140]) ).
fof(f172,plain,
leq(n0,pv7),
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f140]) ).
fof(f174,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f140]) ).
fof(f175,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f140]) ).
fof(f176,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f140]) ).
fof(f177,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f140]) ).
fof(f178,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f140]) ).
fof(f189,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f199,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f99]) ).
fof(f207,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f80]) ).
fof(f210,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f73]) ).
fof(f211,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f100]) ).
fof(f215,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f74]) ).
fof(f217,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f101]) ).
fof(f225,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f258,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f261,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f264,plain,
( ~ sP2
| s_best7_init != a_select2(s_center7_init,sK3) ),
inference(definition_unfolding,[],[f146,f178]) ).
fof(f265,plain,
( ~ sP1
| s_best7_init != a_select2(s_try7_init,sK4) ),
inference(definition_unfolding,[],[f149,f178]) ).
fof(f274,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f177,f178]) ).
fof(f275,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f176,f178]) ).
fof(f276,plain,
! [X2,X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2)
| s_best7_init = a_select3(simplex7_init,X2,X1) ),
inference(definition_unfolding,[],[f161,f178]) ).
fof(f277,plain,
! [X3] :
( ~ leq(X3,n3)
| ~ leq(n0,X3)
| s_best7_init = a_select2(s_values7_init,X3) ),
inference(definition_unfolding,[],[f160,f178]) ).
fof(f278,plain,
! [X4] :
( ~ leq(X4,n2)
| ~ leq(n0,X4)
| s_best7_init = a_select2(s_center7_init,X4) ),
inference(definition_unfolding,[],[f159,f178]) ).
fof(f279,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| s_best7_init = a_select2(s_try7_init,X5) ),
inference(definition_unfolding,[],[f158,f178]) ).
fof(f280,plain,
( ~ gt(loopcounter,n1)
| s_best7_init = pvar1400_init ),
inference(definition_unfolding,[],[f157,f178]) ).
fof(f281,plain,
( ~ gt(loopcounter,n1)
| s_best7_init = pvar1401_init ),
inference(definition_unfolding,[],[f156,f178]) ).
fof(f282,plain,
( ~ gt(loopcounter,n1)
| s_best7_init = pvar1402_init ),
inference(definition_unfolding,[],[f155,f178]) ).
fof(f289,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f200,f258]) ).
fof(f290,plain,
n2 = plus(n1,plus(n1,n0)),
inference(definition_unfolding,[],[f211,f258,f258]) ).
fof(f291,plain,
n3 = plus(n1,plus(n1,plus(n1,n0))),
inference(definition_unfolding,[],[f217,f258,f258,f258]) ).
fof(f306,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f261,f225,f258]) ).
tcf(c_49,negated_conjecture,
( ~ sP2
| ( a_select2(s_center7_init,sK3) != s_best7_init ) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_50,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_51,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_52,negated_conjecture,
( ~ sP1
| ( a_select2(s_try7_init,sK4) != s_best7_init ) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_53,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_54,plain,
( leq(sK4,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_60,negated_conjecture,
( sP0
| sP1
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != pvar1402_init )
| ( s_best7_init != pvar1401_init )
| ( s_best7_init != pvar1400_init )
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( s_best7_init != s_best7_init )
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(cnf_transformation,[],[f309]) ).
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,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( s_best7_init != s_best7_init )
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(cnf_transformation,[],[f310]) ).
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,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != pvar1402_init )
| ( s_best7_init != pvar1401_init )
| ( s_best7_init != pvar1400_init )
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( s_best7_init != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(cnf_transformation,[],[f311]) ).
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,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( s_best7_init != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(cnf_transformation,[],[f312]) ).
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,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != pvar1402_init )
| ( s_best7_init != pvar1401_init )
| ( s_best7_init != pvar1400_init )
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( s_best7_init != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(cnf_transformation,[],[f313]) ).
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,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( s_best7_init != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_66,negated_conjecture,
s_best7_init = s_sworst7_init,
inference(cnf_transformation,[],[f274]) ).
tcf(c_67,negated_conjecture,
s_best7_init = s_worst7_init,
inference(cnf_transformation,[],[f275]) ).
tcf(c_68,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f175]) ).
tcf(c_69,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f174]) ).
tcf(c_70,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f173]) ).
tcf(c_71,negated_conjecture,
leq(n0,pv7),
inference(cnf_transformation,[],[f172]) ).
tcf(c_73,negated_conjecture,
leq(n0,pv19),
inference(cnf_transformation,[],[f170]) ).
tcf(c_74,negated_conjecture,
leq(n0,pv20),
inference(cnf_transformation,[],[f169]) ).
tcf(c_75,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f168]) ).
tcf(c_76,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f167]) ).
tcf(c_77,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f166]) ).
tcf(c_78,negated_conjecture,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f165]) ).
tcf(c_80,negated_conjecture,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f163]) ).
tcf(c_81,negated_conjecture,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f162]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(simplex7_init,X0,X1) = s_best7_init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_values7_init,X0) = s_best7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_84,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_center7_init,X0) = s_best7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_try7_init,X0) = s_best7_init )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_86,negated_conjecture,
( ( s_best7_init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_87,negated_conjecture,
( ( s_best7_init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_88,negated_conjecture,
( ( s_best7_init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_102,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f199]) ).
tcf(c_103,plain,
plus(n1,n0) = n1,
inference(cnf_transformation,[],[f289]) ).
tcf(c_110,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f207]) ).
tcf(c_113,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f210]) ).
tcf(c_114,plain,
plus(n1,plus(n1,n0)) = n2,
inference(cnf_transformation,[],[f290]) ).
tcf(c_118,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f215]) ).
tcf(c_120,plain,
plus(n1,plus(n1,plus(n1,n0))) = n3,
inference(cnf_transformation,[],[f291]) ).
tcf(c_162,plain,
! [X0: $i] : minus(plus(n1,X0),n1) = X0,
inference(cnf_transformation,[],[f306]) ).
tcf(c_195,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_65]) ).
tcf(c_196,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(sK7,n3)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_195,c_77,c_76,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_81,c_80,c_78,c_195]) ).
tcf(c_198,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_63]) ).
tcf(c_199,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| leq(n0,sK7)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_198,c_77,c_76,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_81,c_80,c_78,c_198]) ).
tcf(c_201,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_61]) ).
tcf(c_202,plain,
( sP0
| sP1
| sP2
| gt(loopcounter,n1)
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_201,c_77,c_76,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_81,c_80,c_78,c_201]) ).
tcf(c_204,plain,
( sP0
| sP1
| sP2
| leq(sK7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != pvar1402_init )
| ( s_best7_init != pvar1401_init )
| ( s_best7_init != pvar1400_init )
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_64]) ).
tcf(c_205,plain,
( sP0
| sP1
| sP2
| leq(sK7,n3)
| ( a_select2(s_try7_init,n0) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_204,c_77,c_76,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_81,c_80,c_78,c_88,c_87,c_86,c_196,c_204]) ).
tcf(c_206,plain,
( sP0
| sP1
| sP2
| leq(sK7,n3)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(renaming,[status(thm)],[c_205]) ).
tcf(c_207,plain,
( sP0
| sP1
| sP2
| leq(n0,sK7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != pvar1402_init )
| ( s_best7_init != pvar1401_init )
| ( s_best7_init != pvar1400_init )
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_62]) ).
tcf(c_208,plain,
( sP0
| sP1
| sP2
| leq(n0,sK7)
| ( a_select2(s_try7_init,n0) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_207,c_77,c_76,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_81,c_80,c_78,c_88,c_87,c_86,c_199,c_207]) ).
tcf(c_209,plain,
( sP0
| sP1
| sP2
| leq(n0,sK7)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(renaming,[status(thm)],[c_208]) ).
tcf(c_210,plain,
( sP0
| sP1
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ( s_best7_init != pvar1402_init )
| ( s_best7_init != pvar1401_init )
| ( s_best7_init != pvar1400_init )
| ( s_best7_init != s_worst7_init )
| ( s_best7_init != s_sworst7_init )
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_60]) ).
tcf(c_211,plain,
( sP0
| sP1
| sP2
| ( a_select2(s_try7_init,n0) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_values7_init,sK7) != s_best7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_210,c_77,c_76,c_75,c_74,c_73,c_71,c_70,c_69,c_68,c_67,c_66,c_81,c_80,c_78,c_88,c_87,c_86,c_202,c_210]) ).
tcf(c_212,plain,
( sP0
| sP1
| sP2
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(renaming,[status(thm)],[c_211]) ).
tcf(c_888,plain,
plus(n1,n1) = n2,
inference(light_normalisation,[status(thm)],[c_114,c_103]) ).
tcf(c_937,plain,
plus(n1,n2) = n3,
inference(light_normalisation,[status(thm)],[c_120,c_103,c_888]) ).
tcf(c_5442,plain,
( ( a_select2(s_try7_init,minus(n3,n1)) = s_best7_init )
| ~ leq(n0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_102,c_85]) ).
tcf(c_5620,plain,
( ( a_select2(s_center7_init,sK3) = s_best7_init )
| ~ sP2
| ~ leq(sK3,n2) ),
inference(superposition,[status(thm)],[c_50,c_84]) ).
tcf(c_5637,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_49,c_5620]) ).
tcf(c_5772,plain,
( ( a_select2(s_try7_init,sK4) = s_best7_init )
| ~ sP1
| ~ leq(n0,sK4) ),
inference(superposition,[status(thm)],[c_54,c_85]) ).
tcf(c_5781,plain,
leq(n1,n2),
inference(superposition,[status(thm)],[c_110,c_92]) ).
tcf(c_5784,plain,
leq(n0,n1),
inference(superposition,[status(thm)],[c_113,c_92]) ).
tcf(c_5788,plain,
leq(n0,n2),
inference(superposition,[status(thm)],[c_118,c_92]) ).
tcf(c_5826,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_5772,c_53,c_52,c_5772]) ).
tcf(c_5903,plain,
minus(n3,n1) = n2,
inference(superposition,[status(thm)],[c_937,c_162]) ).
tcf(c_5909,plain,
( ( a_select2(s_try7_init,n2) = s_best7_init )
| ~ leq(n0,n2) ),
inference(demodulation,[status(thm)],[c_5442,c_5903]) ).
tcf(c_5910,plain,
! [X0: $i] :
( ( a_select2(s_try7_init,X0) = s_best7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(demodulation,[status(thm)],[c_85,c_5903]) ).
tcf(c_5919,plain,
( ( a_select2(s_try7_init,n1) = s_best7_init )
| ~ leq(n1,n2)
| ~ leq(n0,n1) ),
inference(instantiation,[status(thm)],[c_5910]) ).
tcf(c_5984,plain,
( ( a_select2(s_try7_init,n0) = s_best7_init )
| ~ leq(n0,n2) ),
inference(superposition,[status(thm)],[c_102,c_5910]) ).
tcf(c_7248,plain,
( ( a_select2(s_values7_init,sK7) = s_best7_init )
| ~ leq(sK7,n3)
| ~ leq(n0,sK7) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_11951,plain,
( ( a_select3(simplex7_init,sK6,sK5) = s_best7_init )
| ~ leq(sK5,n2)
| ~ leq(sK6,n3)
| ~ leq(n0,sK5)
| ~ leq(n0,sK6) ),
inference(instantiation,[status(thm)],[c_82]) ).
fof(f126,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(f127,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(f128,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(f129,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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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
& ( ( 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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != a_select2(s_try7_init,n2)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n0)
| init != s_worst7_init
| init != s_sworst7_init
| init != s_best7_init
| init != init ) ),
inference(definition_folding,[],[f103,f128,f127,f126]) ).
fof(f136,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,[],[f126]) ).
fof(f137,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,[],[f136]) ).
fof(f138,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)],[f137]) ).
fof(f150,plain,
( ~ sP0
| leq(sK5,n2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f151,plain,
( ~ sP0
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f138]) ).
fof(f152,plain,
( ~ sP0
| leq(sK6,n3) ),
inference(cnf_transformation,[],[f138]) ).
fof(f153,plain,
( ~ sP0
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f138]) ).
fof(f154,plain,
( ~ sP0
| init != a_select3(simplex7_init,sK6,sK5) ),
inference(cnf_transformation,[],[f138]) ).
fof(f266,plain,
( ~ sP0
| s_best7_init != a_select3(simplex7_init,sK6,sK5) ),
inference(definition_unfolding,[],[f154,f178]) ).
tcf(c_55,negated_conjecture,
( ~ sP0
| ( a_select3(simplex7_init,sK6,sK5) != s_best7_init ) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_56,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_57,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_58,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_59,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_233,plain,
( ( a_select3(simplex7_init,sK6,sK5) != s_best7_init )
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_234,plain,
( ~ sP0
| ( a_select3(simplex7_init,sK6,sK5) != s_best7_init ) ),
inference(renaming,[status(thm)],[c_233]) ).
tcf(c_235,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_237,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
tcf(c_239,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
tcf(c_241,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
tcf(c_1655,plain,
( sP1
| sP2
| leq(sK5,n2)
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_212,c_241]) ).
tcf(c_1677,plain,
( sP1
| sP2
| leq(n0,sK5)
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_212,c_239]) ).
tcf(c_1699,plain,
( sP1
| sP2
| leq(sK6,n3)
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_212,c_237]) ).
tcf(c_1721,plain,
( sP1
| sP2
| leq(n0,sK6)
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_212,c_235]) ).
tcf(c_1743,plain,
( sP1
| sP2
| ( a_select2(s_values7_init,sK7) != s_best7_init )
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init )
| ( a_select3(simplex7_init,sK6,sK5) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_212,c_234]) ).
tcf(c_1765,plain,
( sP1
| sP2
| leq(sK5,n2)
| leq(n0,sK7)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_209,c_241]) ).
tcf(c_1787,plain,
( sP1
| sP2
| leq(n0,sK7)
| leq(n0,sK5)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_209,c_239]) ).
tcf(c_1809,plain,
( sP1
| sP2
| leq(sK6,n3)
| leq(n0,sK7)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_209,c_237]) ).
tcf(c_1831,plain,
( sP1
| sP2
| leq(n0,sK7)
| leq(n0,sK6)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_209,c_235]) ).
tcf(c_1853,plain,
( sP1
| sP2
| leq(n0,sK7)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init )
| ( a_select3(simplex7_init,sK6,sK5) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_209,c_234]) ).
tcf(c_1875,plain,
( sP1
| sP2
| leq(sK7,n3)
| leq(sK5,n2)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_206,c_241]) ).
tcf(c_1897,plain,
( sP1
| sP2
| leq(sK7,n3)
| leq(n0,sK5)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_206,c_239]) ).
tcf(c_1919,plain,
( sP1
| sP2
| leq(sK7,n3)
| leq(sK6,n3)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_206,c_237]) ).
tcf(c_1941,plain,
( sP1
| sP2
| leq(sK7,n3)
| leq(n0,sK6)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_206,c_235]) ).
tcf(c_1963,plain,
( sP1
| sP2
| leq(sK7,n3)
| ( a_select2(s_try7_init,n1) != s_best7_init )
| ( a_select2(s_try7_init,n2) != s_best7_init )
| ( a_select2(s_try7_init,n0) != s_best7_init )
| ( a_select3(simplex7_init,sK6,sK5) != s_best7_init ) ),
inference(resolution,[status(thm)],[c_206,c_234]) ).
tcf(c_7354,negated_conjecture,
a_select3(simplex7_init,sK6,sK5) != s_best7_init,
inference(global_subsumption_just,[status(thm)],[c_55,c_53,c_51,c_52,c_49,c_1743,c_1853,c_1963,c_5620,c_5772,c_5788,c_5784,c_5781,c_5909,c_5919,c_5984,c_7248]) ).
tcf(c_8574,plain,
leq(n0,sK6),
inference(global_subsumption_just,[status(thm)],[c_56,c_53,c_51,c_52,c_49,c_1721,c_1831,c_1941,c_5620,c_5772,c_5788,c_5784,c_5781,c_5909,c_5919,c_5984,c_7248]) ).
tcf(c_8673,plain,
leq(sK6,n3),
inference(global_subsumption_just,[status(thm)],[c_57,c_53,c_51,c_52,c_49,c_1699,c_1809,c_1919,c_5620,c_5772,c_5788,c_5784,c_5781,c_5909,c_5919,c_5984,c_7248]) ).
tcf(c_8675,plain,
leq(n0,sK5),
inference(global_subsumption_just,[status(thm)],[c_58,c_53,c_51,c_52,c_49,c_1677,c_1787,c_1897,c_5620,c_5772,c_5788,c_5784,c_5781,c_5909,c_5919,c_5984,c_7248]) ).
tcf(c_8872,plain,
leq(sK5,n2),
inference(global_subsumption_just,[status(thm)],[c_59,c_1655,c_1765,c_1875,c_5637,c_5788,c_5784,c_5781,c_5826,c_5909,c_5919,c_5984,c_7248]) ).
tcf(c_11952,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11951,c_8872,c_8675,c_8673,c_8574,c_7354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV024+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 18:24:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.09/1.75 % SZS status Started for theBenchmark.p
% 1.09/1.75 % SZS status Theorem for theBenchmark.p
% 1.09/1.75
% 1.09/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.09/1.75
% 1.09/1.75 % ------ iProver source info
% 1.09/1.75
% 1.09/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.09/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.09/1.75 % git: non_committed_changes: false
% 1.09/1.75
% 1.09/1.75 % ------ Parsing...
% 1.09/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.09/1.75
% 1.09/1.75 % ------ 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 %
% 1.09/1.75
% 1.09/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.09/1.75
% 1.09/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.09/1.75 % ------ Proving...
% 1.09/1.75 % ------ Problem Properties
% 1.09/1.75
% 1.09/1.75 %
% 1.09/1.75 % clauses 113
% 1.09/1.75 % conjectures 26
% 1.09/1.75 % EPR 71
% 1.09/1.75 % Horn 103
% 1.09/1.75 % unary 72
% 1.09/1.75 % binary 24
% 1.09/1.75 % lits 200
% 1.09/1.75 % lits eq 62
% 1.09/1.75 % fd_pure 0
% 1.09/1.75 % fd_pseudo 0
% 1.09/1.75 % fd_cond 6
% 1.09/1.75 % fd_pseudo_cond 2
% 1.09/1.75 % AC symbols 0
% 1.09/1.75
% 1.09/1.75 % ------ Schedule dynamic 5 is on
% 1.09/1.75
% 1.09/1.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.09/1.75
% 1.09/1.75
% 1.09/1.75 % ------
% 1.09/1.75 % Current options:
% 1.09/1.75 % ------
% 1.09/1.75
% 1.09/1.75
% 1.09/1.75 %
% 1.09/1.75
% 1.09/1.75 % ------ Proving...
% 1.09/1.75 %
% 1.09/1.75
% 1.09/1.75 % SZS status Theorem for theBenchmark.p
% 1.09/1.75
% 1.09/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.09/1.76
% 1.09/1.76
%------------------------------------------------------------------------------