%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV037+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 : n004.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 14.88s 12.83s
% Output : CNFRefutation 14.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f487ERROR: Could not build tree for root c_41504ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',totality) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
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 )
=> ( ( gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X25] :
( ( leq(X25,minus(n3,n1))
& leq(n0,X25) )
=> a_select2(s_try7_init,X25) = init )
& ! [X24] :
( ( leq(X24,n2)
& leq(n0,X24) )
=> a_select2(s_center7_init,X24) = init )
& ! [X23] :
( ( leq(X23,n3)
& leq(n0,X23) )
=> a_select2(tptp_update2(s_values7_init,s_worst7,init),X23) = init )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X22] :
( ( leq(X22,n3)
& leq(n0,X22) )
=> a_select3(simplex7_init,X22,X21) = 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 ) )
& ( ~ gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
=> ( ( geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> a_select2(s_try7_init,X20) = init )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> a_select2(s_center7_init,X19) = init )
& ! [X18] :
( ( leq(X18,n3)
& leq(n0,X18) )
=> a_select2(s_values7_init,X18) = init )
& ! [X16] :
( ( leq(X16,n2)
& leq(n0,X16) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> a_select3(simplex7_init,X17,X16) = 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 ) )
& ( ~ geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
=> ( ( leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X15] :
( ( leq(X15,minus(n3,n1))
& leq(n0,X15) )
=> a_select2(s_try7_init,X15) = init )
& ! [X14] :
( ( leq(X14,n2)
& leq(n0,X14) )
=> a_select2(s_center7_init,X14) = init )
& ! [X13] :
( ( leq(X13,n3)
& leq(n0,X13) )
=> a_select2(s_values7_init,X13) = init )
& ! [X11] :
( ( leq(X11,n2)
& leq(n0,X11) )
=> ! [X12] :
( ( leq(X12,n3)
& leq(n0,X12) )
=> a_select3(simplex7_init,X12,X11) = 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)
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ) )
& ( ~ leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( ( gt(loopcounter,n0)
=> ( a_select2(s_values7_init,s_worst7) = init
& a_select2(s_values7_init,s_sworst7) = init
& a_select2(s_values7_init,s_best7) = init ) )
& ( gt(loopcounter,n0)
=> ( 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 ) )
& ( ~ geq(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)
=> ( 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 ) )
& ! [X10] :
( ( leq(X10,n3)
& leq(n0,X10) )
=> a_select2(s_values7_init,X10) = init )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> a_select3(simplex7_init,X9,X8) = init ) )
& a_select2(s_values7_init,s_worst7) = init
& a_select2(s_values7_init,s_sworst7) = init
& a_select2(s_values7_init,s_best7) = init
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ( ~ gt(loopcounter,n1)
=> ( ( gt(loopcounter,n0)
=> ( a_select2(s_values7_init,s_worst7) = init
& a_select2(s_values7_init,s_sworst7) = init
& a_select2(s_values7_init,s_best7) = init ) )
& ( gt(loopcounter,n0)
=> ( 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 ) )
& ( ~ geq(pv1403,tptp_float_0_001)
=> ( 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 ) )
& ! [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 ) ) ) )
& init = init ) )
& a_select2(s_values7_init,s_sworst7) = init
& s_sworst7_init = init
& init = init ) )
& a_select2(s_values7_init,s_best7) = init
& s_best7_init = init
& init = init ) )
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& init = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0061) ).
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 )
=> ( ( gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X25] :
( ( leq(X25,minus(n3,n1))
& leq(n0,X25) )
=> a_select2(s_try7_init,X25) = init )
& ! [X24] :
( ( leq(X24,n2)
& leq(n0,X24) )
=> a_select2(s_center7_init,X24) = init )
& ! [X23] :
( ( leq(X23,n3)
& leq(n0,X23) )
=> a_select2(tptp_update2(s_values7_init,s_worst7,init),X23) = init )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X22] :
( ( leq(X22,n3)
& leq(n0,X22) )
=> a_select3(simplex7_init,X22,X21) = 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 ) )
& ( ~ gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
=> ( ( geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> a_select2(s_try7_init,X20) = init )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> a_select2(s_center7_init,X19) = init )
& ! [X18] :
( ( leq(X18,n3)
& leq(n0,X18) )
=> a_select2(s_values7_init,X18) = init )
& ! [X16] :
( ( leq(X16,n2)
& leq(n0,X16) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> a_select3(simplex7_init,X17,X16) = 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 ) )
& ( ~ geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
=> ( ( leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X15] :
( ( leq(X15,minus(n3,n1))
& leq(n0,X15) )
=> a_select2(s_try7_init,X15) = init )
& ! [X14] :
( ( leq(X14,n2)
& leq(n0,X14) )
=> a_select2(s_center7_init,X14) = init )
& ! [X13] :
( ( leq(X13,n3)
& leq(n0,X13) )
=> a_select2(s_values7_init,X13) = init )
& ! [X11] :
( ( leq(X11,n2)
& leq(n0,X11) )
=> ! [X12] :
( ( leq(X12,n3)
& leq(n0,X12) )
=> a_select3(simplex7_init,X12,X11) = 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)
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ) )
& ( ~ leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
=> ( ( gt(loopcounter,n1)
=> ( ( gt(loopcounter,n0)
=> ( a_select2(s_values7_init,s_worst7) = init
& a_select2(s_values7_init,s_sworst7) = init
& a_select2(s_values7_init,s_best7) = init ) )
& ( gt(loopcounter,n0)
=> ( 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 ) )
& ( ~ geq(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)
=> ( 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 ) )
& ! [X10] :
( ( leq(X10,n3)
& leq(n0,X10) )
=> a_select2(s_values7_init,X10) = init )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> a_select3(simplex7_init,X9,X8) = init ) )
& a_select2(s_values7_init,s_worst7) = init
& a_select2(s_values7_init,s_sworst7) = init
& a_select2(s_values7_init,s_best7) = init
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ( ~ gt(loopcounter,n1)
=> ( ( gt(loopcounter,n0)
=> ( a_select2(s_values7_init,s_worst7) = init
& a_select2(s_values7_init,s_sworst7) = init
& a_select2(s_values7_init,s_best7) = init ) )
& ( gt(loopcounter,n0)
=> ( 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 ) )
& ( ~ geq(pv1403,tptp_float_0_001)
=> ( 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 ) )
& ! [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 ) ) ) )
& init = init ) )
& a_select2(s_values7_init,s_sworst7) = init
& s_sworst7_init = init
& init = init ) )
& a_select2(s_values7_init,s_best7) = init
& s_best7_init = init
& init = init ) )
& a_select2(s_values7_init,s_worst7) = init
& s_worst7_init = init
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& ( ( gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X25] :
( leq(X25,minus(n3,n1))
& leq(n0,X25)
& init != a_select2(s_try7_init,X25) )
| ? [X24] :
( leq(X24,n2)
& leq(n0,X24)
& init != a_select2(s_center7_init,X24) )
| ? [X23] :
( leq(X23,n3)
& leq(n0,X23)
& init != a_select2(tptp_update2(s_values7_init,s_worst7,init),X23) )
| ? [X21] :
( leq(X21,n2)
& leq(n0,X21)
& ? [X22] :
( leq(X22,n3)
& leq(n0,X22)
& init != a_select3(simplex7_init,X22,X21) ) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ) )
| ( ~ gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
& ( ( geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X20] :
( leq(X20,minus(n3,n1))
& leq(n0,X20)
& init != a_select2(s_try7_init,X20) )
| ? [X19] :
( leq(X19,n2)
& leq(n0,X19)
& init != a_select2(s_center7_init,X19) )
| ? [X18] :
( leq(X18,n3)
& leq(n0,X18)
& init != a_select2(s_values7_init,X18) )
| ? [X16] :
( leq(X16,n2)
& leq(n0,X16)
& ? [X17] :
( leq(X17,n3)
& leq(n0,X17)
& init != a_select3(simplex7_init,X17,X16) ) )
| ~ 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 ) )
| ( ~ geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
& ( ( leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X15] :
( leq(X15,minus(n3,n1))
& leq(n0,X15)
& init != a_select2(s_try7_init,X15) )
| ? [X14] :
( leq(X14,n2)
& leq(n0,X14)
& init != a_select2(s_center7_init,X14) )
| ? [X13] :
( leq(X13,n3)
& leq(n0,X13)
& init != a_select2(s_values7_init,X13) )
| ? [X11] :
( leq(X11,n2)
& leq(n0,X11)
& ? [X12] :
( leq(X12,n3)
& leq(n0,X12)
& init != a_select3(simplex7_init,X12,X11) ) )
| ~ 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 != a_select2(s_values7_init,s_worst7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ) )
| ( ~ leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
& ( ( gt(loopcounter,n1)
& ( ( gt(loopcounter,n0)
& ( init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7) ) )
| ( gt(loopcounter,n0)
& ( ~ 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 ) )
| ( ~ geq(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)
& ( ~ 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 ) )
| ? [X10] :
( leq(X10,n3)
& leq(n0,X10)
& init != a_select2(s_values7_init,X10) )
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8) ) )
| init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ( ~ gt(loopcounter,n1)
& ( ( gt(loopcounter,n0)
& ( init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7) ) )
| ( gt(loopcounter,n0)
& ( ~ 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 ) )
| ( ~ geq(pv1403,tptp_float_0_001)
& ( ~ 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 ) )
| ? [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) ) ) ) )
| init != init ) )
| init != a_select2(s_values7_init,s_sworst7)
| init != s_sworst7_init
| init != init ) )
| init != a_select2(s_values7_init,s_best7)
| s_best7_init != init
| init != init ) )
| init != a_select2(s_values7_init,s_worst7)
| init != s_worst7_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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& ( ( gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X25] :
( leq(X25,minus(n3,n1))
& leq(n0,X25)
& init != a_select2(s_try7_init,X25) )
| ? [X24] :
( leq(X24,n2)
& leq(n0,X24)
& init != a_select2(s_center7_init,X24) )
| ? [X23] :
( leq(X23,n3)
& leq(n0,X23)
& init != a_select2(tptp_update2(s_values7_init,s_worst7,init),X23) )
| ? [X21] :
( leq(X21,n2)
& leq(n0,X21)
& ? [X22] :
( leq(X22,n3)
& leq(n0,X22)
& init != a_select3(simplex7_init,X22,X21) ) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ) )
| ( ~ gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
& ( ( geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X20] :
( leq(X20,minus(n3,n1))
& leq(n0,X20)
& init != a_select2(s_try7_init,X20) )
| ? [X19] :
( leq(X19,n2)
& leq(n0,X19)
& init != a_select2(s_center7_init,X19) )
| ? [X18] :
( leq(X18,n3)
& leq(n0,X18)
& init != a_select2(s_values7_init,X18) )
| ? [X16] :
( leq(X16,n2)
& leq(n0,X16)
& ? [X17] :
( leq(X17,n3)
& leq(n0,X17)
& init != a_select3(simplex7_init,X17,X16) ) )
| ~ 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 ) )
| ( ~ geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
& ( ( leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X15] :
( leq(X15,minus(n3,n1))
& leq(n0,X15)
& init != a_select2(s_try7_init,X15) )
| ? [X14] :
( leq(X14,n2)
& leq(n0,X14)
& init != a_select2(s_center7_init,X14) )
| ? [X13] :
( leq(X13,n3)
& leq(n0,X13)
& init != a_select2(s_values7_init,X13) )
| ? [X11] :
( leq(X11,n2)
& leq(n0,X11)
& ? [X12] :
( leq(X12,n3)
& leq(n0,X12)
& init != a_select3(simplex7_init,X12,X11) ) )
| ~ 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 != a_select2(s_values7_init,s_worst7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ) )
| ( ~ leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
& ( ( gt(loopcounter,n1)
& ( ( gt(loopcounter,n0)
& ( init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7) ) )
| ( gt(loopcounter,n0)
& ( ~ 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 ) )
| ( ~ geq(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)
& ( ~ 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 ) )
| ? [X10] :
( leq(X10,n3)
& leq(n0,X10)
& init != a_select2(s_values7_init,X10) )
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8) ) )
| init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ( ~ gt(loopcounter,n1)
& ( ( gt(loopcounter,n0)
& ( init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7) ) )
| ( gt(loopcounter,n0)
& ( ~ 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 ) )
| ( ~ geq(pv1403,tptp_float_0_001)
& ( ~ 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 ) )
| ? [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) ) ) ) )
| init != init ) )
| init != a_select2(s_values7_init,s_sworst7)
| init != s_sworst7_init
| init != init ) )
| init != a_select2(s_values7_init,s_best7)
| s_best7_init != init
| init != init ) )
| init != a_select2(s_values7_init,s_worst7)
| init != s_worst7_init
| init != init ) ),
inference(flattening,[],[f102]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(ennf_transformation,[],[f49]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(flattening,[],[f117]) ).
fof(f159,plain,
( ~ sP13
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f160,plain,
( ~ sP13
| ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) ) ),
inference(rectify,[],[f159]) ).
fof(f161,plain,
( ~ sP13
| ( leq(sK21,n3)
& leq(n0,sK21)
& init != a_select2(s_values7_init,sK21) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f160]) ).
fof(f162,plain,
( ~ sP12
| ? [X5] :
( leq(X5,n2)
& leq(n0,X5)
& ? [X6] :
( leq(X6,n3)
& leq(n0,X6)
& init != a_select3(simplex7_init,X6,X5) ) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f163,plain,
( ~ sP12
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) ) ),
inference(rectify,[],[f162]) ).
fof(f164,plain,
( ~ sP12
| ( leq(sK22,n2)
& leq(n0,sK22)
& leq(sK23,n3)
& leq(n0,sK23)
& init != a_select3(simplex7_init,sK23,sK22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f163]) ).
fof(f166,plain,
( ~ sP10
| ? [X10] :
( leq(X10,n3)
& leq(n0,X10)
& init != a_select2(s_values7_init,X10) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f167,plain,
( ~ sP10
| ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) ) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
( ~ sP10
| ( leq(sK24,n3)
& leq(n0,sK24)
& init != a_select2(s_values7_init,sK24) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f167]) ).
fof(f169,plain,
( ~ sP9
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8) ) ) ),
inference(nnf_transformation,[],[f139]) ).
fof(f170,plain,
( ~ sP9
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) ) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
( ~ sP9
| ( leq(sK25,n2)
& leq(n0,sK25)
& leq(sK26,n3)
& leq(n0,sK26)
& init != a_select3(simplex7_init,sK26,sK25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f170]) ).
fof(f172,plain,
( ~ sP8
| ? [X14] :
( leq(X14,n2)
& leq(n0,X14)
& init != a_select2(s_center7_init,X14) ) ),
inference(nnf_transformation,[],[f138]) ).
fof(f173,plain,
( ~ sP8
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) ) ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
( ~ sP8
| ( leq(sK27,n2)
& leq(n0,sK27)
& init != a_select2(s_center7_init,sK27) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X0,sK27)],[f173]) ).
fof(f175,plain,
( ~ sP7
| ? [X15] :
( leq(X15,minus(n3,n1))
& leq(n0,X15)
& init != a_select2(s_try7_init,X15) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f176,plain,
( ~ sP7
| ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) ) ),
inference(rectify,[],[f175]) ).
fof(f177,plain,
( ~ sP7
| ( leq(sK28,minus(n3,n1))
& leq(n0,sK28)
& init != a_select2(s_try7_init,sK28) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X0,sK28)],[f176]) ).
fof(f178,plain,
( ~ sP6
| ? [X11] :
( leq(X11,n2)
& leq(n0,X11)
& ? [X12] :
( leq(X12,n3)
& leq(n0,X12)
& init != a_select3(simplex7_init,X12,X11) ) ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f179,plain,
( ~ sP6
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) ) ),
inference(rectify,[],[f178]) ).
fof(f180,plain,
( ~ sP6
| ( leq(sK29,n2)
& leq(n0,sK29)
& leq(sK30,n3)
& leq(n0,sK30)
& init != a_select3(simplex7_init,sK30,sK29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X0,sK29),skolemize(X1,sK30)],[f179]) ).
fof(f181,plain,
( ~ sP5
| ? [X19] :
( leq(X19,n2)
& leq(n0,X19)
& init != a_select2(s_center7_init,X19) ) ),
inference(nnf_transformation,[],[f135]) ).
fof(f182,plain,
( ~ sP5
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) ) ),
inference(rectify,[],[f181]) ).
fof(f183,plain,
( ~ sP5
| ( leq(sK31,n2)
& leq(n0,sK31)
& init != a_select2(s_center7_init,sK31) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f182]) ).
fof(f184,plain,
( ~ sP4
| ? [X20] :
( leq(X20,minus(n3,n1))
& leq(n0,X20)
& init != a_select2(s_try7_init,X20) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f185,plain,
( ~ sP4
| ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) ) ),
inference(rectify,[],[f184]) ).
fof(f186,plain,
( ~ sP4
| ( leq(sK32,minus(n3,n1))
& leq(n0,sK32)
& init != a_select2(s_try7_init,sK32) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X0,sK32)],[f185]) ).
fof(f187,plain,
( ~ sP3
| ? [X16] :
( leq(X16,n2)
& leq(n0,X16)
& ? [X17] :
( leq(X17,n3)
& leq(n0,X17)
& init != a_select3(simplex7_init,X17,X16) ) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f188,plain,
( ~ sP3
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) ) ),
inference(rectify,[],[f187]) ).
fof(f189,plain,
( ~ sP3
| ( leq(sK33,n2)
& leq(n0,sK33)
& leq(sK34,n3)
& leq(n0,sK34)
& init != a_select3(simplex7_init,sK34,sK33) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33,sK34]),skolemize(X0,sK33),skolemize(X1,sK34)],[f188]) ).
fof(f190,plain,
( ~ sP2
| ? [X24] :
( leq(X24,n2)
& leq(n0,X24)
& init != a_select2(s_center7_init,X24) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f191,plain,
( ~ sP2
| ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) ) ),
inference(rectify,[],[f190]) ).
fof(f192,plain,
( ~ sP2
| ( leq(sK35,n2)
& leq(n0,sK35)
& init != a_select2(s_center7_init,sK35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f191]) ).
fof(f193,plain,
( ~ sP1
| ? [X25] :
( leq(X25,minus(n3,n1))
& leq(n0,X25)
& init != a_select2(s_try7_init,X25) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f194,plain,
( ~ sP1
| ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) ) ),
inference(rectify,[],[f193]) ).
fof(f195,plain,
( ~ sP1
| ( leq(sK36,minus(n3,n1))
& leq(n0,sK36)
& init != a_select2(s_try7_init,sK36) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f194]) ).
fof(f233,plain,
( ~ sP13
| leq(sK21,n3) ),
inference(cnf_transformation,[],[f161]) ).
fof(f234,plain,
( ~ sP13
| leq(n0,sK21) ),
inference(cnf_transformation,[],[f161]) ).
fof(f235,plain,
( ~ sP13
| init != a_select2(s_values7_init,sK21) ),
inference(cnf_transformation,[],[f161]) ).
fof(f236,plain,
( ~ sP12
| leq(sK22,n2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f237,plain,
( ~ sP12
| leq(n0,sK22) ),
inference(cnf_transformation,[],[f164]) ).
fof(f238,plain,
( ~ sP12
| leq(sK23,n3) ),
inference(cnf_transformation,[],[f164]) ).
fof(f239,plain,
( ~ sP12
| leq(n0,sK23) ),
inference(cnf_transformation,[],[f164]) ).
fof(f240,plain,
( ~ sP12
| init != a_select3(simplex7_init,sK23,sK22) ),
inference(cnf_transformation,[],[f164]) ).
fof(f249,plain,
( ~ sP10
| leq(sK24,n3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f250,plain,
( ~ sP10
| leq(n0,sK24) ),
inference(cnf_transformation,[],[f168]) ).
fof(f251,plain,
( ~ sP10
| init != a_select2(s_values7_init,sK24) ),
inference(cnf_transformation,[],[f168]) ).
fof(f252,plain,
( ~ sP9
| leq(sK25,n2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f253,plain,
( ~ sP9
| leq(n0,sK25) ),
inference(cnf_transformation,[],[f171]) ).
fof(f254,plain,
( ~ sP9
| leq(sK26,n3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f255,plain,
( ~ sP9
| leq(n0,sK26) ),
inference(cnf_transformation,[],[f171]) ).
fof(f256,plain,
( ~ sP9
| init != a_select3(simplex7_init,sK26,sK25) ),
inference(cnf_transformation,[],[f171]) ).
fof(f257,plain,
( ~ sP8
| leq(sK27,n2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f258,plain,
( ~ sP8
| leq(n0,sK27) ),
inference(cnf_transformation,[],[f174]) ).
fof(f259,plain,
( ~ sP8
| init != a_select2(s_center7_init,sK27) ),
inference(cnf_transformation,[],[f174]) ).
fof(f260,plain,
( ~ sP7
| leq(sK28,minus(n3,n1)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f261,plain,
( ~ sP7
| leq(n0,sK28) ),
inference(cnf_transformation,[],[f177]) ).
fof(f262,plain,
( ~ sP7
| init != a_select2(s_try7_init,sK28) ),
inference(cnf_transformation,[],[f177]) ).
fof(f263,plain,
( ~ sP6
| leq(sK29,n2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f264,plain,
( ~ sP6
| leq(n0,sK29) ),
inference(cnf_transformation,[],[f180]) ).
fof(f265,plain,
( ~ sP6
| leq(sK30,n3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f266,plain,
( ~ sP6
| leq(n0,sK30) ),
inference(cnf_transformation,[],[f180]) ).
fof(f267,plain,
( ~ sP6
| init != a_select3(simplex7_init,sK30,sK29) ),
inference(cnf_transformation,[],[f180]) ).
fof(f268,plain,
( ~ sP5
| leq(sK31,n2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f269,plain,
( ~ sP5
| leq(n0,sK31) ),
inference(cnf_transformation,[],[f183]) ).
fof(f270,plain,
( ~ sP5
| init != a_select2(s_center7_init,sK31) ),
inference(cnf_transformation,[],[f183]) ).
fof(f271,plain,
( ~ sP4
| leq(sK32,minus(n3,n1)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f272,plain,
( ~ sP4
| leq(n0,sK32) ),
inference(cnf_transformation,[],[f186]) ).
fof(f273,plain,
( ~ sP4
| init != a_select2(s_try7_init,sK32) ),
inference(cnf_transformation,[],[f186]) ).
fof(f274,plain,
( ~ sP3
| leq(sK33,n2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f275,plain,
( ~ sP3
| leq(n0,sK33) ),
inference(cnf_transformation,[],[f189]) ).
fof(f276,plain,
( ~ sP3
| leq(sK34,n3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f277,plain,
( ~ sP3
| leq(n0,sK34) ),
inference(cnf_transformation,[],[f189]) ).
fof(f278,plain,
( ~ sP3
| init != a_select3(simplex7_init,sK34,sK33) ),
inference(cnf_transformation,[],[f189]) ).
fof(f279,plain,
( ~ sP2
| leq(sK35,n2) ),
inference(cnf_transformation,[],[f192]) ).
fof(f280,plain,
( ~ sP2
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f192]) ).
fof(f281,plain,
( ~ sP2
| init != a_select2(s_center7_init,sK35) ),
inference(cnf_transformation,[],[f192]) ).
fof(f282,plain,
( ~ sP1
| leq(sK36,minus(n3,n1)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f283,plain,
( ~ sP1
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f195]) ).
fof(f284,plain,
( ~ sP1
| init != a_select2(s_try7_init,sK36) ),
inference(cnf_transformation,[],[f195]) ).
fof(f290,plain,
( ~ gt(loopcounter,n1)
| init = pvar1402_init ),
inference(cnf_transformation,[],[f148]) ).
fof(f291,plain,
( ~ gt(loopcounter,n1)
| init = pvar1401_init ),
inference(cnf_transformation,[],[f148]) ).
fof(f292,plain,
( ~ gt(loopcounter,n1)
| init = pvar1400_init ),
inference(cnf_transformation,[],[f148]) ).
fof(f293,plain,
! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| init = a_select2(s_try7_init,X4) ),
inference(cnf_transformation,[],[f148]) ).
fof(f294,plain,
! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| init = a_select2(s_center7_init,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f295,plain,
! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select2(s_values7_init,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f296,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,[],[f148]) ).
fof(f297,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f148]) ).
fof(f298,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f148]) ).
fof(f299,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f148]) ).
fof(f300,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f148]) ).
fof(f301,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f148]) ).
fof(f302,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f148]) ).
fof(f303,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f148]) ).
fof(f304,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f148]) ).
fof(f315,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f317,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f332,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(cnf_transformation,[],[f118]) ).
fof(f333,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f424,plain,
( ~ sP13
| s_sworst7_init != a_select2(s_values7_init,sK21) ),
inference(definition_unfolding,[],[f235,f304]) ).
fof(f425,plain,
( ~ sP12
| s_sworst7_init != a_select3(simplex7_init,sK23,sK22) ),
inference(definition_unfolding,[],[f240,f304]) ).
fof(f434,plain,
( ~ sP10
| s_sworst7_init != a_select2(s_values7_init,sK24) ),
inference(definition_unfolding,[],[f251,f304]) ).
fof(f435,plain,
( ~ sP9
| s_sworst7_init != a_select3(simplex7_init,sK26,sK25) ),
inference(definition_unfolding,[],[f256,f304]) ).
fof(f436,plain,
( ~ sP8
| s_sworst7_init != a_select2(s_center7_init,sK27) ),
inference(definition_unfolding,[],[f259,f304]) ).
fof(f437,plain,
( ~ sP7
| s_sworst7_init != a_select2(s_try7_init,sK28) ),
inference(definition_unfolding,[],[f262,f304]) ).
fof(f438,plain,
( ~ sP6
| s_sworst7_init != a_select3(simplex7_init,sK30,sK29) ),
inference(definition_unfolding,[],[f267,f304]) ).
fof(f439,plain,
( ~ sP5
| s_sworst7_init != a_select2(s_center7_init,sK31) ),
inference(definition_unfolding,[],[f270,f304]) ).
fof(f440,plain,
( ~ sP4
| s_sworst7_init != a_select2(s_try7_init,sK32) ),
inference(definition_unfolding,[],[f273,f304]) ).
fof(f441,plain,
( ~ sP3
| s_sworst7_init != a_select3(simplex7_init,sK34,sK33) ),
inference(definition_unfolding,[],[f278,f304]) ).
fof(f442,plain,
( ~ sP2
| s_sworst7_init != a_select2(s_center7_init,sK35) ),
inference(definition_unfolding,[],[f281,f304]) ).
fof(f443,plain,
( ~ sP1
| s_sworst7_init != a_select2(s_try7_init,sK36) ),
inference(definition_unfolding,[],[f284,f304]) ).
fof(f452,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f303,f304]) ).
fof(f453,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,[],[f296,f304]) ).
fof(f454,plain,
! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| s_sworst7_init = a_select2(s_values7_init,X2) ),
inference(definition_unfolding,[],[f295,f304]) ).
fof(f455,plain,
! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| s_sworst7_init = a_select2(s_center7_init,X3) ),
inference(definition_unfolding,[],[f294,f304]) ).
fof(f456,plain,
! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| s_sworst7_init = a_select2(s_try7_init,X4) ),
inference(definition_unfolding,[],[f293,f304]) ).
fof(f457,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1400_init ),
inference(definition_unfolding,[],[f292,f304]) ).
fof(f458,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1401_init ),
inference(definition_unfolding,[],[f291,f304]) ).
fof(f459,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1402_init ),
inference(definition_unfolding,[],[f290,f304]) ).
fof(f486,plain,
! [X2,X0,X1,X4] :
( X0 = X1
| a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1) ),
inference(equality_resolution,[],[f332]) ).
tcf(c_49,negated_conjecture,
( sP1
| sP2
| sP0
| ~ sP17
| ~ 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(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_50,negated_conjecture,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| ~ sP17
| ~ 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(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_51,negated_conjecture,
( sP1
| sP2
| sP0
| leq(n0,sK18)
| ~ sP17
| ~ 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,[],[f489]) ).
tcf(c_52,negated_conjecture,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(n0,sK18)
| ~ sP17
| ~ 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,[],[f490]) ).
tcf(c_53,negated_conjecture,
( sP1
| sP2
| sP0
| leq(sK18,n3)
| ~ sP17
| ~ 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,[],[f491]) ).
tcf(c_54,negated_conjecture,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(sK18,n3)
| ~ sP17
| ~ 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,[],[f492]) ).
tcf(c_56,negated_conjecture,
( sP4
| sP5
| sP3
| ~ sP16
| ~ 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,sK19) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_57,negated_conjecture,
( sP4
| sP5
| sP3
| gt(loopcounter,n1)
| ~ sP16
| ~ 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,sK19) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_58,negated_conjecture,
( sP4
| sP5
| sP3
| leq(n0,sK19)
| ~ sP16
| ~ 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,[],[f495]) ).
tcf(c_59,negated_conjecture,
( sP4
| sP5
| sP3
| gt(loopcounter,n1)
| leq(n0,sK19)
| ~ sP16
| ~ 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,[],[f496]) ).
tcf(c_60,negated_conjecture,
( sP4
| sP5
| sP3
| leq(sK19,n3)
| ~ sP16
| ~ 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,[],[f497]) ).
tcf(c_61,negated_conjecture,
( sP4
| sP5
| sP3
| gt(loopcounter,n1)
| leq(sK19,n3)
| ~ sP16
| ~ 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,[],[f498]) ).
tcf(c_63,negated_conjecture,
( sP7
| sP8
| sP6
| ~ sP15
| ~ 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,sK20) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_64,negated_conjecture,
( sP7
| sP8
| sP6
| gt(loopcounter,n1)
| ~ sP15
| ~ 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,sK20) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_65,negated_conjecture,
( sP7
| sP8
| sP6
| leq(n0,sK20)
| ~ sP15
| ~ 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,s_worst7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_66,negated_conjecture,
( sP7
| sP8
| sP6
| gt(loopcounter,n1)
| leq(n0,sK20)
| ~ sP15
| ~ 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,s_worst7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_67,negated_conjecture,
( sP7
| sP8
| sP6
| leq(sK20,n3)
| ~ sP15
| ~ 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,s_worst7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_68,negated_conjecture,
( sP7
| sP8
| sP6
| gt(loopcounter,n1)
| leq(sK20,n3)
| ~ sP15
| ~ 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,s_worst7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_70,negated_conjecture,
( sP13
| sP12
| ~ sP14
| ~ 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_74,negated_conjecture,
( sP13
| sP12
| ~ sP14
| ~ geq(pv1403,tptp_float_0_001)
| ~ 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_78,negated_conjecture,
( ~ sP13
| ( a_select2(s_values7_init,sK21) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_79,plain,
( leq(n0,sK21)
| ~ sP13 ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_80,plain,
( leq(sK21,n3)
| ~ sP13 ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_81,negated_conjecture,
( ~ sP12
| ( a_select3(simplex7_init,sK23,sK22) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_82,plain,
( leq(n0,sK23)
| ~ sP12 ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_83,plain,
( leq(sK23,n3)
| ~ sP12 ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_84,plain,
( leq(n0,sK22)
| ~ sP12 ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_85,plain,
( leq(sK22,n2)
| ~ sP12 ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_86,negated_conjecture,
( sP10
| sP9
| ~ sP11
| ~ 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f512]) ).
tcf(c_91,negated_conjecture,
( sP10
| sP9
| gt(loopcounter,n0)
| ~ sP11
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ geq(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)
| ( 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_94,negated_conjecture,
( ~ sP10
| ( a_select2(s_values7_init,sK24) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_95,plain,
( leq(n0,sK24)
| ~ sP10 ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_96,plain,
( leq(sK24,n3)
| ~ sP10 ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_97,negated_conjecture,
( ~ sP9
| ( a_select3(simplex7_init,sK26,sK25) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f435]) ).
tcf(c_98,plain,
( leq(n0,sK26)
| ~ sP9 ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_99,plain,
( leq(sK26,n3)
| ~ sP9 ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_100,plain,
( leq(n0,sK25)
| ~ sP9 ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_101,plain,
( leq(sK25,n2)
| ~ sP9 ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_102,negated_conjecture,
( ~ sP8
| ( a_select2(s_center7_init,sK27) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_103,plain,
( leq(n0,sK27)
| ~ sP8 ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_104,plain,
( leq(sK27,n2)
| ~ sP8 ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_105,negated_conjecture,
( ~ sP7
| ( a_select2(s_try7_init,sK28) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_106,plain,
( leq(n0,sK28)
| ~ sP7 ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_107,plain,
( leq(sK28,minus(n3,n1))
| ~ sP7 ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_108,negated_conjecture,
( ~ sP6
| ( a_select3(simplex7_init,sK30,sK29) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f438]) ).
tcf(c_109,plain,
( leq(n0,sK30)
| ~ sP6 ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_110,plain,
( leq(sK30,n3)
| ~ sP6 ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_111,plain,
( leq(n0,sK29)
| ~ sP6 ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_112,plain,
( leq(sK29,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_113,negated_conjecture,
( ~ sP5
| ( a_select2(s_center7_init,sK31) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_114,plain,
( leq(n0,sK31)
| ~ sP5 ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_115,plain,
( leq(sK31,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_116,negated_conjecture,
( ~ sP4
| ( a_select2(s_try7_init,sK32) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_117,plain,
( leq(n0,sK32)
| ~ sP4 ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_118,plain,
( leq(sK32,minus(n3,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_119,negated_conjecture,
( ~ sP3
| ( a_select3(simplex7_init,sK34,sK33) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_120,plain,
( leq(n0,sK34)
| ~ sP3 ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_121,plain,
( leq(sK34,n3)
| ~ sP3 ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_122,plain,
( leq(n0,sK33)
| ~ sP3 ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_123,plain,
( leq(sK33,n2)
| ~ sP3 ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_124,negated_conjecture,
( ~ sP2
| ( a_select2(s_center7_init,sK35) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_125,plain,
( leq(n0,sK35)
| ~ sP2 ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_126,plain,
( leq(sK35,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_127,negated_conjecture,
( ~ sP1
| ( a_select2(s_try7_init,sK36) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_128,plain,
( leq(n0,sK36)
| ~ sP1 ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_129,plain,
( leq(sK36,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_135,negated_conjecture,
( sP11
| sP14
| sP15
| sP16
| sP17
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_136,negated_conjecture,
( sP14
| sP15
| sP16
| sP17
| gt(loopcounter,n1)
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_137,negated_conjecture,
( sP11
| sP15
| sP16
| sP17
| ~ gt(loopcounter,n1)
| ( s_sworst7_init != s_worst7_init )
| ( s_sworst7_init != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_142,negated_conjecture,
s_sworst7_init = s_worst7_init,
inference(cnf_transformation,[],[f452]) ).
tcf(c_143,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f302]) ).
tcf(c_144,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f301]) ).
tcf(c_145,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f300]) ).
tcf(c_146,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f299]) ).
tcf(c_147,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f298]) ).
tcf(c_148,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f297]) ).
tcf(c_149,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,[],[f453]) ).
tcf(c_150,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_values7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n3) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_151,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_center7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_152,negated_conjecture,
! [X0: $i] :
( ( a_select2(s_try7_init,X0) = s_sworst7_init )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_153,negated_conjecture,
( ( s_sworst7_init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_154,negated_conjecture,
( ( s_sworst7_init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_155,negated_conjecture,
( ( s_sworst7_init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| gt(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_160,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f317]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3) ) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f333]) ).
tcf(c_240,plain,
~ gt(s_sworst7_init,s_sworst7_init),
inference(instantiation,[status(thm)],[c_160]) ).
tcf(c_253,plain,
( gt(s_sworst7_init,s_sworst7_init)
| ( s_sworst7_init = s_sworst7_init ) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_279,plain,
( sP11
| sP14
| sP15
| sP16
| sP17
| ( s_sworst7_init != s_worst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_135]) ).
tcf(c_280,plain,
( sP11
| sP14
| sP15
| sP16
| sP17
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_279,c_142,c_279]) ).
tcf(c_281,plain,
( sP11
| sP14
| sP15
| sP16
| sP17
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_280]) ).
tcf(c_282,plain,
( sP14
| sP15
| sP16
| sP17
| gt(loopcounter,n1)
| ( s_sworst7_init != s_worst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_136]) ).
tcf(c_283,plain,
( sP14
| sP15
| sP16
| sP17
| gt(loopcounter,n1)
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_282,c_142,c_282]) ).
tcf(c_284,plain,
( sP14
| sP15
| sP16
| sP17
| gt(loopcounter,n1)
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_283]) ).
tcf(c_285,plain,
( sP11
| sP15
| sP16
| sP17
| ~ gt(loopcounter,n1)
| ( s_sworst7_init != s_worst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_137]) ).
tcf(c_286,plain,
( sP11
| sP15
| sP16
| sP17
| ~ gt(loopcounter,n1)
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_285,c_142,c_240,c_253,c_137]) ).
tcf(c_287,plain,
( sP11
| sP15
| sP16
| sP17
| ~ gt(loopcounter,n1)
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_286]) ).
tcf(c_298,plain,
( sP4
| sP5
| sP3
| gt(loopcounter,n1)
| leq(sK19,n3)
| ~ sP16
| ~ 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_61]) ).
tcf(c_299,plain,
( sP4
| sP5
| sP3
| ~ sP16
| leq(sK19,n3) ),
inference(global_subsumption_just,[status(thm)],[c_298,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_61,c_60]) ).
tcf(c_300,plain,
( sP4
| sP5
| sP3
| leq(sK19,n3)
| ~ sP16 ),
inference(renaming,[status(thm)],[c_299]) ).
tcf(c_301,plain,
( sP4
| sP5
| sP3
| gt(loopcounter,n1)
| leq(n0,sK19)
| ~ sP16
| ~ 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_59]) ).
tcf(c_302,plain,
( sP4
| sP5
| sP3
| ~ sP16
| leq(n0,sK19) ),
inference(global_subsumption_just,[status(thm)],[c_301,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_59,c_58]) ).
tcf(c_303,plain,
( sP4
| sP5
| sP3
| leq(n0,sK19)
| ~ sP16 ),
inference(renaming,[status(thm)],[c_302]) ).
tcf(c_304,plain,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(sK18,n3)
| ~ sP17
| ~ 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_305,plain,
( sP1
| sP2
| sP0
| ~ sP17
| leq(sK18,n3) ),
inference(global_subsumption_just,[status(thm)],[c_304,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_54,c_53]) ).
tcf(c_306,plain,
( sP1
| sP2
| sP0
| leq(sK18,n3)
| ~ sP17 ),
inference(renaming,[status(thm)],[c_305]) ).
tcf(c_307,plain,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| leq(n0,sK18)
| ~ sP17
| ~ 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_308,plain,
( sP1
| sP2
| sP0
| ~ sP17
| leq(n0,sK18) ),
inference(global_subsumption_just,[status(thm)],[c_307,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_52,c_51]) ).
tcf(c_309,plain,
( sP1
| sP2
| sP0
| leq(n0,sK18)
| ~ sP17 ),
inference(renaming,[status(thm)],[c_308]) ).
tcf(c_313,plain,
( sP4
| sP5
| sP3
| gt(loopcounter,n1)
| ~ sP16
| ~ 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,sK19) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_57]) ).
tcf(c_314,plain,
( sP4
| sP5
| sP3
| ( a_select2(s_values7_init,sK19) != s_sworst7_init )
| ~ sP16 ),
inference(global_subsumption_just,[status(thm)],[c_313,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_57,c_56]) ).
tcf(c_315,plain,
( sP4
| sP5
| sP3
| ~ sP16
| ( a_select2(s_values7_init,sK19) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_314]) ).
tcf(c_316,plain,
( sP7
| sP8
| sP6
| gt(loopcounter,n1)
| leq(sK20,n3)
| ~ sP15
| ~ 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,s_worst7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_68]) ).
tcf(c_317,plain,
( sP7
| sP8
| sP6
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ~ sP15
| leq(sK20,n3) ),
inference(global_subsumption_just,[status(thm)],[c_316,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_67,c_316]) ).
tcf(c_318,plain,
( sP7
| sP8
| sP6
| leq(sK20,n3)
| ~ sP15
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_317]) ).
tcf(c_319,plain,
( sP7
| sP8
| sP6
| gt(loopcounter,n1)
| leq(n0,sK20)
| ~ sP15
| ~ 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,s_worst7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_66]) ).
tcf(c_320,plain,
( sP7
| sP8
| sP6
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ~ sP15
| leq(n0,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_319,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_66,c_65]) ).
tcf(c_321,plain,
( sP7
| sP8
| sP6
| leq(n0,sK20)
| ~ sP15
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_320]) ).
tcf(c_322,plain,
( sP1
| sP2
| sP0
| gt(loopcounter,n1)
| ~ sP17
| ~ 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(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_50]) ).
tcf(c_323,plain,
( sP1
| sP2
| sP0
| ( a_select2(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init )
| ~ sP17 ),
inference(global_subsumption_just,[status(thm)],[c_322,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_50,c_49]) ).
tcf(c_324,plain,
( sP1
| sP2
| sP0
| ~ sP17
| ( a_select2(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_323]) ).
tcf(c_325,plain,
( sP7
| sP8
| sP6
| gt(loopcounter,n1)
| ~ sP15
| ~ 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,sK20) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_64]) ).
tcf(c_326,plain,
( sP7
| sP8
| sP6
| ( a_select2(s_values7_init,sK20) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ~ sP15 ),
inference(global_subsumption_just,[status(thm)],[c_325,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_63,c_325]) ).
tcf(c_327,plain,
( sP7
| sP8
| sP6
| ~ sP15
| ( a_select2(s_values7_init,sK20) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_326]) ).
tcf(c_334,plain,
( sP4
| sP5
| sP3
| leq(n0,sK19)
| ~ sP16
| ~ 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_58]) ).
tcf(c_335,plain,
( sP4
| sP5
| sP3
| leq(n0,sK19)
| ~ sP16 ),
inference(global_subsumption_just,[status(thm)],[c_334,c_303]) ).
tcf(c_337,plain,
( sP1
| sP2
| sP0
| leq(sK18,n3)
| ~ sP17
| ~ 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_338,plain,
( sP1
| sP2
| sP0
| leq(sK18,n3)
| ~ sP17 ),
inference(global_subsumption_just,[status(thm)],[c_337,c_306]) ).
tcf(c_340,plain,
( sP1
| sP2
| sP0
| leq(n0,sK18)
| ~ sP17
| ~ 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_341,plain,
( sP1
| sP2
| sP0
| leq(n0,sK18)
| ~ sP17 ),
inference(global_subsumption_just,[status(thm)],[c_340,c_309]) ).
tcf(c_343,plain,
( sP13
| sP12
| ~ sP14
| ~ 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_70]) ).
tcf(c_344,plain,
( sP13
| sP12
| ~ sP14
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_343,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_253,c_70]) ).
tcf(c_345,plain,
( sP13
| sP12
| ~ sP14
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_344]) ).
tcf(c_346,plain,
( sP4
| sP5
| sP3
| ~ sP16
| ~ 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,sK19) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_56]) ).
tcf(c_347,plain,
( sP4
| sP5
| sP3
| ~ sP16
| ( a_select2(s_values7_init,sK19) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_346,c_315]) ).
tcf(c_352,plain,
( sP13
| sP12
| ~ sP14
| ~ geq(pv1403,tptp_float_0_001)
| ~ 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_74]) ).
tcf(c_353,plain,
( sP13
| sP12
| ~ sP14
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_352,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_253,c_70]) ).
tcf(c_358,plain,
( sP7
| sP8
| sP6
| leq(n0,sK20)
| ~ sP15
| ~ 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,s_worst7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_65]) ).
tcf(c_359,plain,
( sP7
| sP8
| sP6
| leq(n0,sK20)
| ~ sP15
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_358,c_321]) ).
tcf(c_361,plain,
( sP1
| sP2
| sP0
| ~ sP17
| ~ 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(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_49]) ).
tcf(c_362,plain,
( sP1
| sP2
| sP0
| ~ sP17
| ( a_select2(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_324]) ).
tcf(c_367,plain,
( sP10
| sP9
| ~ sP11
| ~ 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_86]) ).
tcf(c_368,plain,
( sP10
| sP9
| ~ sP11
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_367,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_253,c_86]) ).
tcf(c_369,plain,
( sP10
| sP9
| ~ sP11
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_368]) ).
tcf(c_388,plain,
( sP10
| sP9
| gt(loopcounter,n0)
| ~ sP11
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ geq(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)
| ( 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,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(equality_resolution_simp,[status(thm)],[c_91]) ).
tcf(c_389,plain,
( sP10
| sP9
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ~ sP11 ),
inference(global_subsumption_just,[status(thm)],[c_388,c_369]) ).
tcf(c_390,plain,
( sP10
| sP9
| ~ sP11
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_389]) ).
tcf(c_2569,plain,
( sP10
| sP9
| sP15
| sP16
| sP17
| ~ gt(loopcounter,n1)
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(resolution,[status(thm)],[c_287,c_390]) ).
tcf(c_2570,plain,
( sP10
| sP9
| sP15
| sP16
| sP17
| ~ gt(loopcounter,n1)
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_2569,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_240,c_155,c_154,c_153,c_253,c_137,c_86]) ).
tcf(c_2571,plain,
( sP10
| sP9
| sP15
| sP16
| sP17
| ~ gt(loopcounter,n1)
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_2570]) ).
tcf(c_2599,plain,
( sP10
| sP9
| sP14
| sP15
| sP16
| sP17
| ( s_sworst7_init != pvar1402_init )
| ( s_sworst7_init != pvar1401_init )
| ( s_sworst7_init != pvar1400_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(resolution,[status(thm)],[c_281,c_390]) ).
tcf(c_2600,plain,
( sP10
| sP9
| sP14
| sP15
| sP16
| sP17
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init ) ),
inference(global_subsumption_just,[status(thm)],[c_2599,c_284,c_2571]) ).
tcf(c_2601,plain,
( sP10
| sP9
| sP14
| sP15
| sP16
| sP17
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(renaming,[status(thm)],[c_2600]) ).
tcf(c_3403,plain,
( sP10
| sP9
| sP13
| sP12
| sP15
| sP16
| sP17
| ( a_select2(s_values7_init,s_worst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_sworst7) != s_sworst7_init )
| ( a_select2(s_values7_init,s_best7) != s_sworst7_init ) ),
inference(resolution,[status(thm)],[c_2601,c_353]) ).
tcf(c_18295,plain,
( ( a_select2(s_values7_init,s_best7) = s_sworst7_init )
| ~ leq(s_best7,n3) ),
inference(superposition,[status(thm)],[c_143,c_150]) ).
tcf(c_18296,plain,
( ( a_select2(s_values7_init,s_sworst7) = s_sworst7_init )
| ~ leq(s_sworst7,n3) ),
inference(superposition,[status(thm)],[c_144,c_150]) ).
tcf(c_18297,plain,
( ( a_select2(s_values7_init,s_worst7) = s_sworst7_init )
| ~ leq(s_worst7,n3) ),
inference(superposition,[status(thm)],[c_145,c_150]) ).
tcf(c_18301,plain,
a_select2(s_values7_init,s_worst7) = s_sworst7_init,
inference(forward_subsumption_resolution,[status(thm)],[c_18297,c_148]) ).
tcf(c_18302,plain,
a_select2(s_values7_init,s_sworst7) = s_sworst7_init,
inference(forward_subsumption_resolution,[status(thm)],[c_18296,c_147]) ).
tcf(c_18303,plain,
a_select2(s_values7_init,s_best7) = s_sworst7_init,
inference(forward_subsumption_resolution,[status(thm)],[c_18295,c_146]) ).
tcf(c_18393,plain,
( sP4
| sP5
| sP3
| ( a_select2(s_values7_init,sK19) = s_sworst7_init )
| ~ sP16
| ~ leq(sK19,n3) ),
inference(superposition,[status(thm)],[c_335,c_150]) ).
tcf(c_18437,plain,
( sP1
| sP2
| sP0
| ( a_select2(s_values7_init,sK18) = s_sworst7_init )
| ~ sP17
| ~ leq(sK18,n3) ),
inference(superposition,[status(thm)],[c_341,c_150]) ).
tcf(c_18486,plain,
( ( a_select2(s_values7_init,sK21) = s_sworst7_init )
| ~ sP13
| ~ leq(sK21,n3) ),
inference(superposition,[status(thm)],[c_79,c_150]) ).
tcf(c_18499,plain,
~ sP13,
inference(global_subsumption_just,[status(thm)],[c_80,c_80,c_78,c_18486]) ).
tcf(c_18501,plain,
( sP4
| sP5
| sP3
| ~ sP16 ),
inference(global_subsumption_just,[status(thm)],[c_347,c_300,c_315,c_18393]) ).
tcf(c_18531,plain,
( sP7
| sP8
| sP6
| leq(n0,sK20)
| ~ sP15 ),
inference(global_subsumption_just,[status(thm)],[c_359,c_321,c_18301]) ).
tcf(c_18544,plain,
( sP7
| sP8
| sP6
| ( a_select2(s_center7_init,sK20) = s_sworst7_init )
| ~ sP15
| ~ leq(sK20,n2) ),
inference(superposition,[status(thm)],[c_18531,c_151]) ).
tcf(c_18545,plain,
( sP7
| sP8
| sP6
| ( a_select2(s_values7_init,sK20) = s_sworst7_init )
| ~ sP15
| ~ leq(sK20,n3) ),
inference(superposition,[status(thm)],[c_18531,c_150]) ).
tcf(c_18616,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK23,X0) = s_sworst7_init )
| ~ sP12
| ~ leq(sK23,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_82,c_149]) ).
tcf(c_18672,plain,
( ( a_select2(s_values7_init,sK24) = s_sworst7_init )
| ~ sP10
| ~ leq(sK24,n3) ),
inference(superposition,[status(thm)],[c_95,c_150]) ).
tcf(c_18688,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_96,c_96,c_94,c_18672]) ).
tcf(c_18695,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK26,X0) = s_sworst7_init )
| ~ sP9
| ~ leq(sK26,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_98,c_149]) ).
tcf(c_18788,plain,
( ( a_select2(s_center7_init,sK27) = s_sworst7_init )
| ~ sP8
| ~ leq(sK27,n2) ),
inference(superposition,[status(thm)],[c_103,c_151]) ).
tcf(c_18805,plain,
~ sP8,
inference(global_subsumption_just,[status(thm)],[c_104,c_104,c_102,c_18788]) ).
tcf(c_18845,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK30,X0) = s_sworst7_init )
| ~ sP6
| ~ leq(sK30,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_109,c_149]) ).
tcf(c_18940,plain,
( ( a_select2(s_center7_init,sK31) = s_sworst7_init )
| ~ sP5
| ~ leq(sK31,n2) ),
inference(superposition,[status(thm)],[c_114,c_151]) ).
tcf(c_18957,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_115,c_115,c_113,c_18940]) ).
tcf(c_18959,plain,
( sP4
| sP3
| ~ sP16 ),
inference(backward_subsumption_resolution,[status(thm)],[c_18501,c_18957]) ).
tcf(c_18997,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK34,X0) = s_sworst7_init )
| ~ sP3
| ~ leq(sK34,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_120,c_149]) ).
tcf(c_19093,plain,
( ( a_select2(s_center7_init,sK35) = s_sworst7_init )
| ~ sP2
| ~ leq(sK35,n2) ),
inference(superposition,[status(thm)],[c_125,c_151]) ).
tcf(c_19110,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_126,c_126,c_124,c_19093]) ).
tcf(c_19112,plain,
( sP1
| sP0
| ~ sP17
| ( a_select2(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_362,c_19110]) ).
tcf(c_19113,plain,
( sP1
| sP0
| leq(n0,sK18)
| ~ sP17 ),
inference(backward_subsumption_resolution,[status(thm)],[c_341,c_19110]) ).
tcf(c_19114,plain,
( sP1
| sP0
| leq(sK18,n3)
| ~ sP17 ),
inference(backward_subsumption_resolution,[status(thm)],[c_338,c_19110]) ).
tcf(c_19134,plain,
( ( a_select2(s_values7_init,sK36) = s_sworst7_init )
| ~ sP1
| ~ leq(sK36,n3) ),
inference(superposition,[status(thm)],[c_128,c_150]) ).
tcf(c_19262,plain,
( ( a_select2(s_try7_init,sK28) = s_sworst7_init )
| ~ sP7
| ~ leq(n0,sK28) ),
inference(superposition,[status(thm)],[c_107,c_152]) ).
tcf(c_19270,plain,
( ( a_select2(s_try7_init,sK32) = s_sworst7_init )
| ~ sP4
| ~ leq(n0,sK32) ),
inference(superposition,[status(thm)],[c_118,c_152]) ).
tcf(c_19278,plain,
( ( a_select2(s_try7_init,sK36) = s_sworst7_init )
| ~ sP1
| ~ leq(n0,sK36) ),
inference(superposition,[status(thm)],[c_129,c_152]) ).
tcf(c_19339,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_19134,c_128,c_127,c_19278]) ).
tcf(c_19365,plain,
~ sP7,
inference(global_subsumption_just,[status(thm)],[c_19262,c_106,c_105,c_19262]) ).
tcf(c_19367,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_19270,c_117,c_116,c_19270]) ).
tcf(c_19369,plain,
( sP3
| ~ sP16 ),
inference(backward_subsumption_resolution,[status(thm)],[c_18959,c_19367]) ).
tcf(c_20251,plain,
( sP6
| ~ sP15 ),
inference(global_subsumption_just,[status(thm)],[c_18544,c_318,c_327,c_18301,c_18545,c_18805,c_19365]) ).
tcf(c_22253,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK23,X0) = s_sworst7_init )
| ~ sP12
| ~ leq(sK23,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_82,c_149]) ).
tcf(c_27993,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK23,X0) = s_sworst7_init )
| ~ sP12
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_22253,c_83,c_18616]) ).
tcf(c_27994,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK23,X0) = s_sworst7_init )
| ~ sP12
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_27993]) ).
tcf(c_28004,plain,
( ( a_select3(simplex7_init,sK23,s_best7) = s_sworst7_init )
| ~ sP12
| ~ leq(s_best7,n2) ),
inference(superposition,[status(thm)],[c_143,c_27994]) ).
tcf(c_28009,plain,
( ( a_select3(simplex7_init,sK23,sK22) = s_sworst7_init )
| ~ sP12
| ~ leq(sK22,n2) ),
inference(superposition,[status(thm)],[c_84,c_27994]) ).
tcf(c_28376,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_28004,c_85,c_81,c_28009]) ).
tcf(c_29288,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK26,X0) = s_sworst7_init )
| ~ sP9
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_18695,c_99,c_18695]) ).
tcf(c_29289,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK26,X0) = s_sworst7_init )
| ~ sP9
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_29288]) ).
tcf(c_29299,plain,
( ( a_select3(simplex7_init,sK26,s_best7) = s_sworst7_init )
| ~ sP9
| ~ leq(s_best7,n2) ),
inference(superposition,[status(thm)],[c_143,c_29289]) ).
tcf(c_29303,plain,
( ( a_select3(simplex7_init,sK26,sK25) = s_sworst7_init )
| ~ sP9
| ~ leq(sK25,n2) ),
inference(superposition,[status(thm)],[c_100,c_29289]) ).
tcf(c_29468,plain,
~ sP9,
inference(global_subsumption_just,[status(thm)],[c_29299,c_101,c_97,c_29303]) ).
tcf(c_29572,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK30,X0) = s_sworst7_init )
| ~ sP6
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_18845,c_110,c_18845]) ).
tcf(c_29573,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK30,X0) = s_sworst7_init )
| ~ sP6
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_29572]) ).
tcf(c_29583,plain,
( ( a_select3(simplex7_init,sK30,s_best7) = s_sworst7_init )
| ~ sP6
| ~ leq(s_best7,n2) ),
inference(superposition,[status(thm)],[c_143,c_29573]) ).
tcf(c_29587,plain,
( ( a_select3(simplex7_init,sK30,sK29) = s_sworst7_init )
| ~ sP6
| ~ leq(sK29,n2) ),
inference(superposition,[status(thm)],[c_111,c_29573]) ).
tcf(c_29814,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_29583,c_112,c_108,c_29587]) ).
tcf(c_29827,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK34,X0) = s_sworst7_init )
| ~ sP3
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_18997,c_121,c_18997]) ).
tcf(c_29828,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK34,X0) = s_sworst7_init )
| ~ sP3
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_29827]) ).
tcf(c_29838,plain,
( ( a_select3(simplex7_init,sK34,s_best7) = s_sworst7_init )
| ~ sP3
| ~ leq(s_best7,n2) ),
inference(superposition,[status(thm)],[c_143,c_29828]) ).
tcf(c_29842,plain,
( ( a_select3(simplex7_init,sK34,sK33) = s_sworst7_init )
| ~ sP3
| ~ leq(sK33,n2) ),
inference(superposition,[status(thm)],[c_122,c_29828]) ).
tcf(c_30041,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_29838,c_123,c_119,c_29842]) ).
fof(f130,definition,
( ~ sP0
| ? [X21] :
( leq(X21,n2)
& leq(n0,X21)
& ? [X22] :
( leq(X22,n3)
& leq(n0,X22)
& init != a_select3(simplex7_init,X22,X21) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f131,definition,
( ~ sP1
| ? [X25] :
( leq(X25,minus(n3,n1))
& leq(n0,X25)
& init != a_select2(s_try7_init,X25) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f132,definition,
( ~ sP2
| ? [X24] :
( leq(X24,n2)
& leq(n0,X24)
& init != a_select2(s_center7_init,X24) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f133,definition,
( ~ sP3
| ? [X16] :
( leq(X16,n2)
& leq(n0,X16)
& ? [X17] :
( leq(X17,n3)
& leq(n0,X17)
& init != a_select3(simplex7_init,X17,X16) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f134,definition,
( ~ sP4
| ? [X20] :
( leq(X20,minus(n3,n1))
& leq(n0,X20)
& init != a_select2(s_try7_init,X20) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f135,definition,
( ~ sP5
| ? [X19] :
( leq(X19,n2)
& leq(n0,X19)
& init != a_select2(s_center7_init,X19) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f136,definition,
( ~ sP6
| ? [X11] :
( leq(X11,n2)
& leq(n0,X11)
& ? [X12] :
( leq(X12,n3)
& leq(n0,X12)
& init != a_select3(simplex7_init,X12,X11) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f137,definition,
( ~ sP7
| ? [X15] :
( leq(X15,minus(n3,n1))
& leq(n0,X15)
& init != a_select2(s_try7_init,X15) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f138,definition,
( ~ sP8
| ? [X14] :
( leq(X14,n2)
& leq(n0,X14)
& init != a_select2(s_center7_init,X14) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f139,definition,
( ~ sP9
| ? [X8] :
( leq(X8,n2)
& leq(n0,X8)
& ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f140,definition,
( ~ sP10
| ? [X10] :
( leq(X10,n3)
& leq(n0,X10)
& init != a_select2(s_values7_init,X10) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f141,definition,
( ~ sP11
| ( gt(loopcounter,n0)
& ( init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7) ) )
| ( gt(loopcounter,n0)
& ( ~ 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 ) )
| ( ~ geq(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)
& ( ~ 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 ) )
| sP10
| sP9
| init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f142,definition,
( ~ sP12
| ? [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,[sP12])],[predicate_definition_introduction]) ).
fof(f143,definition,
( ~ sP13
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f144,definition,
( ~ sP14
| ( gt(loopcounter,n0)
& ( init != a_select2(s_values7_init,s_worst7)
| init != a_select2(s_values7_init,s_sworst7)
| init != a_select2(s_values7_init,s_best7) ) )
| ( gt(loopcounter,n0)
& ( ~ 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 ) )
| ( ~ geq(pv1403,tptp_float_0_001)
& ( ~ 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 ) )
| sP13
| sP12 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f145,definition,
( ~ sP15
| ( leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| sP7
| sP8
| ? [X13] :
( leq(X13,n3)
& leq(n0,X13)
& init != a_select2(s_values7_init,X13) )
| sP6
| ~ 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 != a_select2(s_values7_init,s_worst7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f146,definition,
( ~ sP16
| ( geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| sP4
| sP5
| ? [X18] :
( leq(X18,n3)
& leq(n0,X18)
& init != a_select2(s_values7_init,X18) )
| 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)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f147,definition,
( ~ sP17
| ( gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
& ( ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| sP1
| sP2
| ? [X23] :
( leq(X23,n3)
& leq(n0,X23)
& init != a_select2(tptp_update2(s_values7_init,s_worst7,init),X23) )
| 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,[sP17])],[predicate_definition_introduction]) ).
fof(f148,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
& ( sP17
| ( ~ gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))
& ( sP16
| ( ~ geq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))
& ( sP15
| ( ~ leq(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))
& ( ( gt(loopcounter,n1)
& sP11 )
| ( ~ gt(loopcounter,n1)
& sP14 )
| init != init ) )
| init != a_select2(s_values7_init,s_sworst7)
| init != s_sworst7_init
| init != init ) )
| init != a_select2(s_values7_init,s_best7)
| s_best7_init != init
| init != init ) )
| init != a_select2(s_values7_init,s_worst7)
| init != s_worst7_init
| init != init ) ),
inference(definition_folding,[],[f103,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130]) ).
fof(f196,plain,
( ~ sP0
| ? [X21] :
( leq(X21,n2)
& leq(n0,X21)
& ? [X22] :
( leq(X22,n3)
& leq(n0,X22)
& init != a_select3(simplex7_init,X22,X21) ) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f197,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,[],[f196]) ).
fof(f198,plain,
( ~ sP0
| ( leq(sK37,n2)
& leq(n0,sK37)
& leq(sK38,n3)
& leq(n0,sK38)
& init != a_select3(simplex7_init,sK38,sK37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38]),skolemize(X0,sK37),skolemize(X1,sK38)],[f197]) ).
fof(f285,plain,
( ~ sP0
| leq(sK37,n2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f286,plain,
( ~ sP0
| leq(n0,sK37) ),
inference(cnf_transformation,[],[f198]) ).
fof(f287,plain,
( ~ sP0
| leq(sK38,n3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f288,plain,
( ~ sP0
| leq(n0,sK38) ),
inference(cnf_transformation,[],[f198]) ).
fof(f289,plain,
( ~ sP0
| init != a_select3(simplex7_init,sK38,sK37) ),
inference(cnf_transformation,[],[f198]) ).
fof(f444,plain,
( ~ sP0
| s_sworst7_init != a_select3(simplex7_init,sK38,sK37) ),
inference(definition_unfolding,[],[f289,f304]) ).
tcf(c_130,negated_conjecture,
( ~ sP0
| ( a_select3(simplex7_init,sK38,sK37) != s_sworst7_init ) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_131,plain,
( leq(n0,sK38)
| ~ sP0 ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_132,plain,
( leq(sK38,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_133,plain,
( leq(n0,sK37)
| ~ sP0 ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_134,plain,
( leq(sK37,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_19155,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK38,X0) = s_sworst7_init )
| ~ sP0
| ~ leq(sK38,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(superposition,[status(thm)],[c_131,c_149]) ).
tcf(c_30054,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK38,X0) = s_sworst7_init )
| ~ sP0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_19155,c_132,c_19155]) ).
tcf(c_30055,plain,
! [X0: $i] :
( ( a_select3(simplex7_init,sK38,X0) = s_sworst7_init )
| ~ sP0
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(renaming,[status(thm)],[c_30054]) ).
tcf(c_30065,plain,
( ( a_select3(simplex7_init,sK38,s_best7) = s_sworst7_init )
| ~ sP0
| ~ leq(s_best7,n2) ),
inference(superposition,[status(thm)],[c_143,c_30055]) ).
tcf(c_30069,plain,
( ( a_select3(simplex7_init,sK38,sK37) = s_sworst7_init )
| ~ sP0
| ~ leq(sK37,n2) ),
inference(superposition,[status(thm)],[c_133,c_30055]) ).
tcf(c_30166,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_30065,c_134,c_130,c_30069]) ).
tcf(c_31302,plain,
leq(n0,sK18),
inference(global_subsumption_just,[status(thm)],[c_19113,c_134,c_128,c_123,c_112,c_101,c_96,c_85,c_80,c_127,c_94,c_78,c_130,c_119,c_108,c_97,c_81,c_3403,c_18303,c_18302,c_18301,c_18486,c_18672,c_19113,c_19278,c_19369,c_20251,c_28009,c_29303,c_29587,c_29842,c_30069]) ).
tcf(c_31322,plain,
( ( a_select2(s_values7_init,sK18) = s_sworst7_init )
| ~ leq(sK18,n3) ),
inference(superposition,[status(thm)],[c_31302,c_150]) ).
tcf(c_31622,plain,
a_select2(s_values7_init,sK18) = s_sworst7_init,
inference(global_subsumption_just,[status(thm)],[c_31322,c_134,c_128,c_126,c_123,c_112,c_101,c_96,c_85,c_80,c_127,c_124,c_94,c_78,c_130,c_119,c_108,c_97,c_81,c_3403,c_18303,c_18302,c_18301,c_18437,c_18486,c_18672,c_19093,c_19114,c_19278,c_19369,c_20251,c_28009,c_29303,c_29587,c_29842,c_30069]) ).
tcf(c_41478,plain,
a_select2(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),sK18) != s_sworst7_init,
inference(global_subsumption_just,[status(thm)],[c_19112,c_324,c_345,c_2601,c_18303,c_18302,c_18301,c_18499,c_18501,c_18688,c_18957,c_19110,c_19339,c_19367,c_20251,c_28376,c_29468,c_29814,c_30041,c_30166]) ).
tcf(c_41480,plain,
( ( s_worst7 = sK18 )
| ( a_select2(s_values7_init,sK18) != s_sworst7_init ) ),
inference(superposition,[status(thm)],[c_175,c_41478]) ).
tcf(c_41481,plain,
s_worst7 = sK18,
inference(ground_joinability,[status(thm)],[c_41480,c_31622]) ).
tcf(c_41482,plain,
a_select2(tptp_update2(s_values7_init,s_worst7,s_sworst7_init),s_worst7) != s_sworst7_init,
inference(demodulation,[status(thm)],[c_41478,c_41481]) ).
tcf(c_41504,plain,
$false,
inference(ground_joinability,[status(thm)],[c_41482,c_176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV037+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.37 % Computer : n004.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Thu Sep 24 18:21:32 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/10.42 Running first-order theorem proving
% 0.13/10.42 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
% 0.13/10.43
% 0.13/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/10.43
% 0.13/10.43 % Detected problem language: tptp
% 0.13/10.44 % Proving...
% 14.88/12.83 % SZS status Started for theBenchmark.p
% 14.88/12.83 % SZS status Theorem for theBenchmark.p
% 14.88/12.83
% 14.88/12.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.88/12.83
% 14.88/12.83 % ------ iProver source info
% 14.88/12.83
% 14.88/12.83 % git: date: 2026-07-19 20:42:38 +0200
% 14.88/12.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.88/12.83 % git: non_committed_changes: false
% 14.88/12.83
% 14.88/12.83 % ------ Parsing...
% 14.88/12.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.88/12.83
% 14.88/12.83 % ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 14.88/12.83
% 14.88/12.83 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.88/12.83
% 14.88/12.83 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.88/12.83 % ------ Proving...
% 14.88/12.83 % ------ Problem Properties
% 14.88/12.83
% 14.88/12.83 %
% 14.88/12.83 % clauses 162
% 14.88/12.83 % conjectures 28
% 14.88/12.83 % EPR 96
% 14.88/12.83 % Horn 138
% 14.88/12.83 % unary 64
% 14.88/12.83 % binary 66
% 14.88/12.83 % lits 358
% 14.88/12.83 % lits eq 89
% 14.88/12.83 % fd_pure 0
% 14.88/12.83 % fd_pseudo 0
% 14.88/12.83 % fd_cond 6
% 14.88/12.83 % fd_pseudo_cond 3
% 14.88/12.83 % AC symbols 0
% 14.88/12.83
% 14.88/12.83 % ------ Schedule dynamic 5 is on
% 14.88/12.83
% 14.88/12.83 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.88/12.83
% 14.88/12.83
% 14.88/12.83 % ------
% 14.88/12.83 % Current options:
% 14.88/12.83 % ------
% 14.88/12.83
% 14.88/12.83
% 14.88/12.83 %
% 14.88/12.83
% 14.88/12.83 % ------ Proving...
% 14.88/12.83 %
% 14.88/12.83
% 14.88/12.83 % SZS status Theorem for theBenchmark.p
% 14.88/12.83
% 14.88/12.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.88/12.84
% 14.88/12.84
%------------------------------------------------------------------------------