%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV039+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Thu Sep 24 02:53:34 PM UTC 2026
% Result : Theorem 35.76s 6.88s
% Output : CNFRefutation 35.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 289 ( 65 unt; 0 def)
% Number of atoms : 2051 ( 638 equ)
% Maximal formula atoms : 585 ( 7 avg)
% Number of connectives : 2888 (1126 ~;1489 |; 216 &)
% ( 3 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 25 con; 0-3 aty)
% Number of variables : 156 ( 0 sgn 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0069,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> a_select2(s_center7_init,X20) = init )
& ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> a_select2(s_values7_init,X4) = init )
& ! [X14] :
( ( leq(X14,n2)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n3)
& leq(n0,X18) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X5] :
( ( leq(X5,minus(n0,n1))
& leq(n0,X5) )
=> a_select2(s_try7_init,X5) = init )
& ! [X29] :
( ( leq(X29,n2)
& leq(n0,X29) )
=> a_select2(s_center7_init,X29) = init )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> a_select2(s_values7_init,X28) = 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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0069) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(leq_succ,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(totality,axiom,
! [X1,X2] :
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',totality) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X2,X3)
& leq(X1,X2) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(finite_domain_0,axiom,
! [X1] :
( ( leq(X1,n0)
& leq(n0,X1) )
=> X1 = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(transitivity_gt,axiom,
! [X1,X2,X3] :
( ( gt(X2,X3)
& gt(X1,X2) )
=> gt(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(finite_domain_1,axiom,
! [X1] :
( ( leq(X1,n1)
& leq(n0,X1) )
=> ( X1 = n1
| X1 = n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(gt_0_tptp_minus_1,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(c_0_21,plain,
( epred2_0
<=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> a_select2(s_center7_init,X20) = init )
& ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> a_select2(s_values7_init,X4) = init )
& ! [X14] :
( ( leq(X14,n2)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n3)
& leq(n0,X18) )
=> a_select3(simplex7_init,X18,X14) = 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 ) ),
introduced(definition) ).
fof(c_0_22,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> a_select2(s_center7_init,X20) = init )
& ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> a_select2(s_values7_init,X4) = init )
& ! [X14] :
( ( leq(X14,n2)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n3)
& leq(n0,X18) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X5] :
( ( leq(X5,minus(n0,n1))
& leq(n0,X5) )
=> a_select2(s_try7_init,X5) = init )
& ! [X29] :
( ( leq(X29,n2)
& leq(n0,X29) )
=> a_select2(s_center7_init,X29) = init )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> a_select2(s_values7_init,X28) = 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 ) ),
inference(assume_negation,[status(cth)],[gauss_init_0069]) ).
fof(c_0_23,plain,
( epred3_0
<=> ( ! [X29] :
( ( leq(X29,n2)
& leq(n0,X29) )
=> a_select2(s_center7_init,X29) = init )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> a_select2(s_values7_init,X28) = 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 ) ),
introduced(definition) ).
fof(c_0_24,plain,
( epred2_0
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,n2)
& leq(n0,X20) )
=> a_select2(s_center7_init,X20) = init )
& ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> a_select2(s_values7_init,X4) = init )
& ! [X14] :
( ( leq(X14,n2)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n3)
& leq(n0,X18) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init ) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
fof(c_0_25,negated_conjecture,
~ ( epred2_0
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X5] :
( ( leq(X5,minus(n0,n1))
& leq(n0,X5) )
=> a_select2(s_try7_init,X5) = init )
& epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22,c_0_21]),c_0_23]) ).
fof(c_0_26,plain,
( ( ! [X29] :
( ( leq(X29,n2)
& leq(n0,X29) )
=> a_select2(s_center7_init,X29) = init )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> a_select2(s_values7_init,X28) = 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 )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X203,X204,X205,X206] :
( ( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1402_init = init )
& ( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1401_init = init )
& ( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1400_init = init )
& ( ~ epred2_0
| a_select2(s_center7_init,X206) = init
| ~ leq(X206,n2)
| ~ leq(n0,X206) )
& ( ~ epred2_0
| a_select2(s_values7_init,X205) = init
| ~ leq(X205,n3)
| ~ leq(n0,X205) )
& ( ~ epred2_0
| a_select3(simplex7_init,X204,X203) = init
| ~ leq(X204,n3)
| ~ leq(n0,X204)
| ~ leq(X203,n2)
| ~ leq(n0,X203) )
& ( ~ epred2_0
| leq(s_worst7,n3) )
& ( ~ epred2_0
| leq(s_sworst7,n3) )
& ( ~ epred2_0
| leq(s_best7,n3) )
& ( ~ epred2_0
| leq(n0,s_worst7) )
& ( ~ epred2_0
| leq(n0,s_sworst7) )
& ( ~ epred2_0
| leq(n0,s_best7) )
& ( ~ epred2_0
| s_worst7_init = init )
& ( ~ epred2_0
| s_sworst7_init = init )
& ( ~ epred2_0
| s_best7_init = init ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])]) ).
fof(c_0_28,negated_conjecture,
( ( ~ epred3_0
| a_select2(s_try7_init,esk24_0) != init
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& ( ~ epred3_0
| a_select2(s_try7_init,esk24_0) != init
| gt(loopcounter,n1) )
& ( ~ epred3_0
| leq(esk24_0,minus(n0,n1))
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& ( ~ epred3_0
| leq(esk24_0,minus(n0,n1))
| gt(loopcounter,n1) )
& ( ~ epred3_0
| leq(n0,esk24_0)
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& ( ~ epred3_0
| leq(n0,esk24_0)
| gt(loopcounter,n1) )
& epred2_0 ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])]) ).
fof(c_0_29,plain,
( ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(esk31_0,n3)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(esk31_0,n3)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(esk31_0,n3)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk31_0)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk31_0)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk31_0)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| leq(esk31_0,n3)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| leq(esk31_0,n3)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| leq(esk31_0,n3)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| leq(n0,esk31_0)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| leq(n0,esk31_0)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(esk30_0,n3)
| leq(n0,esk31_0)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| leq(esk31_0,n3)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| leq(esk31_0,n3)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| leq(esk31_0,n3)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| leq(n0,esk31_0)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| leq(esk31_0,n3)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| leq(esk31_0,n3)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| leq(n0,esk31_0)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| leq(n0,esk31_0)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(esk29_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| leq(esk31_0,n3)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| leq(esk31_0,n3)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| leq(esk31_0,n3)
| leq(n0,esk32_0) )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| leq(n0,esk31_0)
| a_select2(s_center7_init,esk32_0) != init )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(esk32_0,n2) )
& ( epred3_0
| ~ 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
| leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(n0,esk32_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
cnf(c_0_30,plain,
( ~ epred2_0
| s_best7_init = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( ~ epred2_0
| s_sworst7_init = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( ~ epred2_0
| s_worst7_init = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
s_best7_init = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_36,plain,
s_sworst7_init = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_31])]) ).
cnf(c_0_37,plain,
s_worst7_init = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_31])]) ).
cnf(c_0_38,plain,
( ~ epred2_0
| leq(n0,s_best7) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
( ~ epred2_0
| leq(n0,s_sworst7) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( ~ epred2_0
| leq(n0,s_worst7) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,plain,
( ~ epred2_0
| leq(s_best7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( ~ epred2_0
| leq(s_sworst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,plain,
( ~ epred2_0
| leq(s_worst7,n3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
( ~ 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_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]) ).
cnf(c_0_45,plain,
leq(n0,s_best7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_31])]) ).
cnf(c_0_46,plain,
leq(n0,s_sworst7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_31])]) ).
cnf(c_0_47,plain,
leq(n0,s_worst7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_31])]) ).
cnf(c_0_48,plain,
leq(s_best7,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_31])]) ).
cnf(c_0_49,plain,
leq(s_sworst7,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_31])]) ).
cnf(c_0_50,plain,
leq(s_worst7,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_31])]) ).
cnf(c_0_51,plain,
( ~ epred2_0
| ~ leq(X1,n2)
| ~ leq(n0,X1)
| a_select2(s_center7_init,X1) = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_52,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_53,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_54,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_55,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0
| leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_56,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0
| leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_57,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(esk31_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_58,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0
| leq(esk31_0,n3)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_59,plain,
( ~ 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
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0
| leq(esk31_0,n3)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_60,plain,
( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_61,plain,
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| a_select2(s_center7_init,X1) = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_31])]) ).
cnf(c_0_62,plain,
( a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk32_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_63,plain,
( a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_64,plain,
( ~ epred2_0
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select2(s_values7_init,X1) = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_65,plain,
( a_select2(s_center7_init,esk32_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk31_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_66,plain,
( a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk31_0)
| leq(n0,esk32_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_67,plain,
( a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk31_0)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_68,plain,
( a_select2(s_center7_init,esk32_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_69,plain,
( a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk32_0)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_70,plain,
( a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(esk31_0,n3)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_71,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(esk30_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_72,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(esk30_0,n3)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_73,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(esk30_0,n3)
| leq(esk31_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_74,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(esk30_0,n3)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_75,plain,
( ~ 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
| epred3_0
| leq(esk30_0,n3)
| leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_76,plain,
( ~ 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
| epred3_0
| leq(esk30_0,n3)
| leq(esk31_0,n3)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_77,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(esk30_0,n3)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_78,plain,
( ~ 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
| epred3_0
| leq(esk30_0,n3)
| leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_79,plain,
( ~ 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
| epred3_0
| leq(esk30_0,n3)
| leq(esk31_0,n3)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_80,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(esk29_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_81,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(esk29_0,n2)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_82,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(esk29_0,n2)
| leq(esk31_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_83,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(esk29_0,n2)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_84,plain,
( ~ 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
| epred3_0
| leq(esk29_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_85,plain,
( ~ 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
| epred3_0
| leq(esk29_0,n2)
| leq(esk31_0,n3)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_86,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(esk29_0,n2)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_87,plain,
( ~ 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
| epred3_0
| leq(esk29_0,n2)
| leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_88,plain,
( ~ 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
| epred3_0
| leq(esk29_0,n2)
| leq(esk31_0,n3)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_89,plain,
( a_select2(s_values7_init,esk31_0) != init
| a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_90,plain,
( ~ leq(n0,X1)
| ~ leq(X1,n3)
| a_select2(s_values7_init,X1) = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_31])]) ).
cnf(c_0_91,plain,
( a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(n0,esk31_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_61]),c_0_66]),c_0_67]) ).
cnf(c_0_92,plain,
( a_select3(simplex7_init,esk30_0,esk29_0) != init
| leq(esk31_0,n3)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_69]),c_0_70]) ).
cnf(c_0_93,plain,
( ~ epred2_0
| ~ leq(X2,n3)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X2,X1) = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_94,plain,
( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(esk30_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_95,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk31_0)
| leq(esk30_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_96,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(esk30_0,n3)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_97,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk32_0)
| leq(esk30_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_98,plain,
( leq(n0,esk31_0)
| leq(n0,esk32_0)
| leq(esk30_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_99,plain,
( leq(n0,esk32_0)
| leq(esk30_0,n3)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_100,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_101,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_102,plain,
( leq(esk30_0,n3)
| leq(esk31_0,n3)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_103,plain,
( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(esk29_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_104,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk31_0)
| leq(esk29_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_105,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(esk29_0,n2)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_106,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk32_0)
| leq(esk29_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_107,plain,
( leq(n0,esk31_0)
| leq(n0,esk32_0)
| leq(esk29_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_108,plain,
( leq(n0,esk32_0)
| leq(esk29_0,n2)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_109,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(esk29_0,n2)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_110,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n2)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_111,plain,
( leq(esk29_0,n2)
| leq(esk31_0,n3)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_112,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_113,plain,
( ~ 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
| epred3_0
| leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_114,plain,
( ~ 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
| epred3_0
| leq(n0,esk29_0)
| leq(esk31_0,n3)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_115,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_116,plain,
( ~ 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
| epred3_0
| leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_117,plain,
( ~ 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
| epred3_0
| leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_118,plain,
( a_select3(simplex7_init,esk30_0,esk29_0) != init
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]) ).
cnf(c_0_119,plain,
( ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X2,n2)
| ~ leq(X1,n3)
| a_select3(simplex7_init,X1,X2) = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_31])]) ).
cnf(c_0_120,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(esk30_0,n3)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_90]),c_0_95]),c_0_96]) ).
cnf(c_0_121,plain,
( leq(esk30_0,n3)
| leq(n0,esk32_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_90]),c_0_98]),c_0_99]) ).
cnf(c_0_122,plain,
( leq(esk32_0,n2)
| leq(esk30_0,n3)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_90]),c_0_101]),c_0_102]) ).
cnf(c_0_123,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(esk29_0,n2)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_90]),c_0_104]),c_0_105]) ).
cnf(c_0_124,plain,
( leq(esk29_0,n2)
| leq(n0,esk32_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_90]),c_0_107]),c_0_108]) ).
cnf(c_0_125,plain,
( leq(esk32_0,n2)
| leq(esk29_0,n2)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_90]),c_0_110]),c_0_111]) ).
cnf(c_0_126,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_127,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk29_0)
| leq(n0,esk32_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_128,plain,
( leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(n0,esk32_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_129,plain,
( leq(n0,esk29_0)
| leq(n0,esk32_0)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_130,plain,
( ~ 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
| epred3_0
| leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_131,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(n0,esk30_0)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_132,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk30_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_133,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(n0,esk32_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_134,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_135,plain,
( ~ 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
| epred3_0
| leq(n0,esk30_0)
| leq(esk31_0,n3)
| leq(n0,esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_136,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(n0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_137,plain,
( ~ leq(n0,esk29_0)
| ~ leq(n0,esk30_0)
| ~ leq(esk29_0,n2)
| ~ leq(esk30_0,n3)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_138,plain,
( leq(esk30_0,n3)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_61]),c_0_121]),c_0_122]) ).
cnf(c_0_139,plain,
( leq(esk29_0,n2)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_61]),c_0_124]),c_0_125]) ).
cnf(c_0_140,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk29_0)
| leq(n0,esk31_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_141,plain,
( leq(n0,esk32_0)
| leq(n0,esk29_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_90]),c_0_128]),c_0_129]) ).
cnf(c_0_142,plain,
( leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_143,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(n0,esk30_0)
| leq(esk31_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_144,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(n0,esk32_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_145,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_61]),c_0_133]),c_0_134]) ).
cnf(c_0_146,plain,
( leq(n0,esk30_0)
| leq(n0,esk32_0)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_147,plain,
( ~ 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
| epred3_0
| leq(n0,esk30_0)
| leq(esk31_0,n3)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_148,plain,
( ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk30_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_149,plain,
( ~ leq(n0,esk29_0)
| ~ leq(n0,esk30_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_150,plain,
( leq(n0,esk31_0)
| leq(n0,esk29_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_61]),c_0_141]),c_0_142]) ).
cnf(c_0_151,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk30_0)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_152,plain,
( leq(n0,esk32_0)
| leq(n0,esk30_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_90]),c_0_145]),c_0_146]) ).
cnf(c_0_153,plain,
( leq(n0,esk30_0)
| leq(esk31_0,n3)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_154,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(n0,esk30_0)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_155,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_156,plain,
! [X152,X153] :
( gt(X153,X152)
| ~ leq(succ(X152),X153) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])])]) ).
fof(c_0_157,plain,
! [X137] : plus(X137,n1) = succ(X137),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_158,plain,
! [X139] : plus(X139,n2) = succ(succ(X139)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_159,plain,
! [X138] : plus(n1,X138) = succ(X138),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_160,plain,
( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk30_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_49])]),c_0_50])]) ).
cnf(c_0_161,plain,
( leq(n0,esk31_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_145]),c_0_150]) ).
cnf(c_0_162,plain,
( leq(esk31_0,n3)
| leq(n0,esk30_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_61]),c_0_152]),c_0_153]) ).
cnf(c_0_163,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
fof(c_0_164,plain,
! [X35] : ~ gt(X35,X35),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_155])]) ).
cnf(c_0_165,plain,
( ~ leq(succ(X1),X2)
| gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_166,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
fof(c_0_167,plain,
! [X51,X52] :
( leq(X51,succ(X52))
| ~ leq(X51,X52) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])])]) ).
cnf(c_0_168,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_169,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
fof(c_0_170,plain,
! [X140] : plus(n2,X140) = succ(succ(X140)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
fof(c_0_171,plain,
! [X148] : pred(succ(X148)) = X148,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_172,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_173,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(n0,esk29_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_174,plain,
( ~ 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
| a_select2(s_center7_init,esk32_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(esk31_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_175,plain,
( ~ 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
| epred3_0
| leq(n0,esk29_0)
| leq(esk31_0,n3)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_176,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk30_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_90]),c_0_161]),c_0_162]) ).
cnf(c_0_177,plain,
( leq(n0,esk32_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_152]),c_0_141]) ).
cnf(c_0_178,plain,
( leq(esk32_0,n2)
| leq(n0,esk30_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_90]),c_0_145]),c_0_162]) ).
cnf(c_0_179,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_180,plain,
( ~ leq(plus(X1,n1),X2)
| gt(X2,X1) ),
inference(rw,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_181,plain,
( ~ leq(X1,X2)
| leq(X1,succ(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_182,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_166]),c_0_166]) ).
cnf(c_0_183,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_169,c_0_166]) ).
fof(c_0_184,plain,
! [X48,X49] :
( ( leq(X48,pred(X49))
| ~ gt(X49,X48) )
& ( gt(X49,X48)
| ~ leq(X48,pred(X49)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])]) ).
cnf(c_0_185,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_186,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_187,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_188,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c_0_189,plain,
( ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk29_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_35]),c_0_36]),c_0_37]),c_0_45])]) ).
cnf(c_0_190,plain,
( a_select2(s_center7_init,esk32_0) != init
| leq(n0,esk29_0)
| leq(esk31_0,n3)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_191,plain,
( leq(n0,esk29_0)
| leq(esk31_0,n3)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_192,plain,
( leq(n0,esk30_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_61]),c_0_177]),c_0_178]) ).
cnf(c_0_193,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_194,plain,
( ~ leq(X1,X2)
| leq(X1,plus(X2,n1)) ),
inference(rw,[status(thm)],[c_0_181,c_0_166]) ).
cnf(c_0_195,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_196,plain,
( ~ gt(X1,X2)
| leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_197,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_166]),c_0_166]) ).
fof(c_0_198,plain,
! [X44,X45] :
( leq(X44,X45)
| ~ gt(X45,X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])])]) ).
fof(c_0_199,plain,
! [X30,X31] :
( X30 = X31
| gt(X31,X30)
| gt(X30,X31) ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(c_0_200,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_166]),c_0_187]) ).
cnf(c_0_201,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_188,c_0_166]) ).
cnf(c_0_202,plain,
( a_select2(s_center7_init,esk32_0) != init
| a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk29_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_46])]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_203,plain,
( leq(esk31_0,n3)
| leq(n0,esk29_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_61]),c_0_141]),c_0_191]) ).
cnf(c_0_204,plain,
( ~ leq(n0,esk29_0)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_192]) ).
cnf(c_0_205,plain,
( ~ 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
| a_select2(s_values7_init,esk31_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(esk32_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_206,plain,
~ leq(plus(X1,n2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_183]),c_0_195]) ).
cnf(c_0_207,plain,
( ~ gt(X1,X2)
| leq(X2,minus(X1,n1)) ),
inference(rw,[status(thm)],[c_0_196,c_0_187]) ).
cnf(c_0_208,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_183]),c_0_195]) ).
cnf(c_0_209,plain,
( ~ gt(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_210,plain,
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_211,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_200,c_0_183]) ).
cnf(c_0_212,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_201,c_0_183]) ).
cnf(c_0_213,plain,
( a_select2(s_center7_init,esk32_0) != init
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_90]),c_0_161]),c_0_203]),c_0_204]) ).
cnf(c_0_214,plain,
( a_select2(s_values7_init,esk31_0) != init
| leq(n0,esk29_0)
| leq(esk32_0,n2)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_35]),c_0_36]),c_0_37]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_215,plain,
( ~ leq(X1,pred(X2))
| gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
fof(c_0_216,plain,
! [X37,X38,X39] :
( leq(X37,X39)
| ~ leq(X38,X39)
| ~ leq(X37,X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])])]) ).
cnf(c_0_217,plain,
~ gt(X1,plus(n2,minus(X1,n1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).
cnf(c_0_218,plain,
( gt(X1,X2)
| leq(X1,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_219,negated_conjecture,
( ~ epred3_0
| leq(esk24_0,minus(n0,n1))
| gt(loopcounter,n1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_220,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_221,plain,
( ~ leq(esk32_0,n2)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_61]),c_0_177]) ).
cnf(c_0_222,plain,
( leq(esk32_0,n2)
| leq(n0,esk29_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_90]),c_0_150]),c_0_203]) ).
cnf(c_0_223,plain,
( ~ leq(X1,minus(X2,n1))
| gt(X2,X1) ),
inference(rw,[status(thm)],[c_0_215,c_0_187]) ).
cnf(c_0_224,negated_conjecture,
( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| leq(esk24_0,minus(n0,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_225,plain,
( ~ leq(X2,X3)
| ~ leq(X1,X2)
| leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_226,plain,
( leq(X1,plus(n2,minus(X1,n1)))
| plus(n2,minus(X1,n1)) = X1 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_227,plain,
( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1402_init = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_228,negated_conjecture,
( ~ epred3_0
| gt(loopcounter,n1)
| leq(esk24_0,tptp_minus_1) ),
inference(rw,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_229,plain,
epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_204]) ).
cnf(c_0_230,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_231,plain,
( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1401_init = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_232,plain,
( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1400_init = init ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_233,plain,
! [X191] :
( X191 = n0
| ~ leq(X191,n0)
| ~ leq(n0,X191) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])])]) ).
cnf(c_0_234,negated_conjecture,
( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| gt(n0,esk24_0) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_235,plain,
( ~ leq(X2,X1)
| leq(X2,plus(n2,minus(X1,n1)))
| plus(n2,minus(X1,n1)) = X1 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_236,plain,
( ~ gt(loopcounter,n1)
| pvar1402_init = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_31])]) ).
cnf(c_0_237,negated_conjecture,
( gt(loopcounter,n1)
| leq(esk24_0,tptp_minus_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229])]) ).
cnf(c_0_238,plain,
plus(n1,plus(n1,X1)) = plus(X1,n2),
inference(spm,[status(thm)],[c_0_195,c_0_183]) ).
cnf(c_0_239,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_230,c_0_166]) ).
cnf(c_0_240,negated_conjecture,
( ~ epred3_0
| leq(n0,esk24_0)
| gt(loopcounter,n1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_241,plain,
( ~ gt(loopcounter,n1)
| pvar1401_init = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_31])]) ).
cnf(c_0_242,plain,
( ~ gt(loopcounter,n1)
| pvar1400_init = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_31])]) ).
fof(c_0_243,plain,
! [X32,X33,X34] :
( gt(X32,X34)
| ~ gt(X33,X34)
| ~ gt(X32,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])])]) ).
cnf(c_0_244,plain,
( ~ leq(X1,n0)
| ~ leq(n0,X1)
| X1 = n0 ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_245,negated_conjecture,
( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| leq(esk24_0,n0) ),
inference(spm,[status(thm)],[c_0_209,c_0_234]) ).
cnf(c_0_246,negated_conjecture,
( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| leq(n0,esk24_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_247,plain,
! [X192] :
( X192 = n1
| X192 = n0
| ~ leq(X192,n1)
| ~ leq(n0,X192) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])])]) ).
cnf(c_0_248,plain,
( ~ leq(X2,X1)
| leq(X2,plus(n2,X1))
| plus(n2,X1) = plus(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_194]),c_0_200]),c_0_200]) ).
cnf(c_0_249,plain,
( leq(esk24_0,tptp_minus_1)
| pvar1402_init = init ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_250,plain,
plus(n2,tptp_minus_1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_212]),c_0_183]),c_0_239]),c_0_208]) ).
cnf(c_0_251,negated_conjecture,
( gt(loopcounter,n1)
| leq(n0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_229])]) ).
cnf(c_0_252,plain,
( leq(esk24_0,tptp_minus_1)
| pvar1401_init = init ),
inference(spm,[status(thm)],[c_0_241,c_0_237]) ).
cnf(c_0_253,plain,
( leq(esk24_0,tptp_minus_1)
| pvar1400_init = init ),
inference(spm,[status(thm)],[c_0_242,c_0_237]) ).
cnf(c_0_254,plain,
( ~ gt(X2,X3)
| ~ gt(X1,X2)
| gt(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_243]) ).
cnf(c_0_255,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]) ).
cnf(c_0_256,negated_conjecture,
( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| esk24_0 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_257,plain,
( ~ leq(X1,n1)
| ~ leq(n0,X1)
| X1 = n1
| X1 = n0 ),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_258,plain,
( leq(esk24_0,n1)
| n1 = n0
| pvar1402_init = init ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]),c_0_183]),c_0_212]),c_0_250]) ).
cnf(c_0_259,plain,
( leq(n0,esk24_0)
| pvar1402_init = init ),
inference(spm,[status(thm)],[c_0_236,c_0_251]) ).
cnf(c_0_260,plain,
( leq(esk24_0,n1)
| n1 = n0
| pvar1401_init = init ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_252]),c_0_250]),c_0_183]),c_0_212]),c_0_250]) ).
cnf(c_0_261,plain,
( leq(n0,esk24_0)
| pvar1401_init = init ),
inference(spm,[status(thm)],[c_0_241,c_0_251]) ).
cnf(c_0_262,plain,
( leq(esk24_0,n1)
| n1 = n0
| pvar1400_init = init ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_253]),c_0_250]),c_0_183]),c_0_212]),c_0_250]) ).
cnf(c_0_263,plain,
( leq(n0,esk24_0)
| pvar1400_init = init ),
inference(spm,[status(thm)],[c_0_242,c_0_251]) ).
cnf(c_0_264,plain,
( ~ gt(X1,n0)
| gt(X1,tptp_minus_1) ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_265,negated_conjecture,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| esk24_0 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_229])]) ).
cnf(c_0_266,plain,
( esk24_0 = n1
| esk24_0 = n0
| pvar1402_init = init
| n1 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]) ).
cnf(c_0_267,plain,
( esk24_0 = n1
| esk24_0 = n0
| pvar1401_init = init
| n1 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_260]),c_0_261]) ).
cnf(c_0_268,plain,
( esk24_0 = n1
| esk24_0 = n0
| pvar1400_init = init
| n1 = n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_262]),c_0_263]) ).
cnf(c_0_269,plain,
~ gt(tptp_minus_1,n0),
inference(spm,[status(thm)],[c_0_179,c_0_264]) ).
cnf(c_0_270,negated_conjecture,
( esk24_0 = n0
| n1 = n0
| esk24_0 = n1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]),c_0_268]) ).
cnf(c_0_271,plain,
~ leq(n1,tptp_minus_1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_180]),c_0_239]) ).
cnf(c_0_272,plain,
( pvar1402_init = init
| n1 = n0
| esk24_0 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_270]),c_0_271]) ).
cnf(c_0_273,plain,
( pvar1401_init = init
| n1 = n0
| esk24_0 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_270]),c_0_271]) ).
cnf(c_0_274,plain,
( pvar1400_init = init
| n1 = n0
| esk24_0 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_270]),c_0_271]) ).
cnf(c_0_275,plain,
~ leq(plus(n1,X1),X1),
inference(spm,[status(thm)],[c_0_193,c_0_183]) ).
cnf(c_0_276,negated_conjecture,
( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| leq(esk24_0,tptp_minus_1) ),
inference(rw,[status(thm)],[c_0_224,c_0_220]) ).
cnf(c_0_277,negated_conjecture,
( esk24_0 = n0
| n1 = n0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_272]),c_0_273]),c_0_274]) ).
cnf(c_0_278,plain,
~ leq(n0,tptp_minus_1),
inference(spm,[status(thm)],[c_0_275,c_0_212]) ).
cnf(c_0_279,negated_conjecture,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| leq(esk24_0,tptp_minus_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_229])]) ).
cnf(c_0_280,plain,
( pvar1400_init = init
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_277]),c_0_278]) ).
cnf(c_0_281,negated_conjecture,
( pvar1402_init != init
| pvar1401_init != init
| n1 = n0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_277]),c_0_278]),c_0_280]) ).
cnf(c_0_282,plain,
( pvar1402_init = init
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_277]),c_0_278]) ).
cnf(c_0_283,plain,
( pvar1401_init = init
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_277]),c_0_278]) ).
fof(c_0_284,plain,
! [X36] : leq(X36,X36),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_285,plain,
~ leq(n1,n0),
inference(spm,[status(thm)],[c_0_193,c_0_239]) ).
cnf(c_0_286,negated_conjecture,
n1 = n0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]) ).
cnf(c_0_287,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_288,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_286]),c_0_287])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV039+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n002.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 08:30:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.76/6.88 % Version: 3.5.1
% 35.76/6.88 % Preprocessing class: FSLSSMSMSSSNFFN.
% 35.76/6.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.76/6.88 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 35.76/6.88 % Starting new_bool_3 with 300s (1) cores
% 35.76/6.88 % Starting new_bool_1 with 300s (1) cores
% 35.76/6.88 % Starting sh5l with 300s (1) cores
% 35.76/6.88 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2874427 completed with status 0
% 35.76/6.88 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 35.76/6.88 % Preprocessing class: FSLSSMSMSSSNFFN.
% 35.76/6.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.76/6.88 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 35.76/6.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 35.76/6.88 % No SInE strategy applied
% 35.76/6.88 % Search class: FGHSM-FSLM33-DFFFFFNN
% 35.76/6.88 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 35.76/6.88 % Starting SubtermCWHack with 136s (1) cores
% 35.76/6.88 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 35.76/6.88 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 35.76/6.88 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 35.76/6.88 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 35.76/6.88 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 2874437 completed with status 0
% 35.76/6.88 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 35.76/6.88 % Preprocessing class: FSLSSMSMSSSNFFN.
% 35.76/6.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.76/6.88 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 35.76/6.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 35.76/6.88 % No SInE strategy applied
% 35.76/6.88 % Search class: FGHSM-FSLM33-DFFFFFNN
% 35.76/6.88 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 35.76/6.88 % Starting SubtermCWHack with 136s (1) cores
% 35.76/6.88 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 35.76/6.88 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 35.76/6.88 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 35.76/6.88 % Preprocessing time : 0.014 s
% 35.76/6.88
% 35.76/6.88 % Proof found!
% 35.76/6.88 % SZS status Theorem
% 35.76/6.88 % SZS output start CNFRefutation
% See solution above
% 35.76/6.88 % Parsed axioms : 85
% 35.76/6.88 % Removed by relevancy pruning/SinE : 0
% 35.76/6.88 % Initial clauses : 259
% 35.76/6.88 % Removed in clause preprocessing : 2
% 35.76/6.88 % Initial clauses in saturation : 257
% 35.76/6.88 % Processed clauses : 4969
% 35.76/6.88 % ...of these trivial : 105
% 35.76/6.88 % ...subsumed : 2587
% 35.76/6.88 % ...remaining for further processing : 2277
% 35.76/6.88 % Other redundant clauses eliminated : 12
% 35.76/6.88 % Clauses deleted for lack of memory : 0
% 35.76/6.88 % Backward-subsumed : 275
% 35.76/6.88 % Backward-rewritten : 867
% 35.76/6.88 % Generated clauses : 88411
% 35.76/6.88 % ...of the previous two non-redundant : 85716
% 35.76/6.88 % ...aggressively subsumed : 0
% 35.76/6.88 % Contextual simplify-reflections : 199
% 35.76/6.88 % Paramodulations : 88267
% 35.76/6.88 % Factorizations : 130
% 35.76/6.88 % NegExts : 0
% 35.76/6.88 % Equation resolutions : 14
% 35.76/6.88 % Disequality decompositions : 0
% 35.76/6.88 % Total rewrite steps : 48731
% 35.76/6.88 % ...of those cached : 48485
% 35.76/6.88 % Propositional unsat checks : 0
% 35.76/6.88 % Propositional check models : 0
% 35.76/6.88 % Propositional check unsatisfiable : 0
% 35.76/6.88 % Propositional clauses : 0
% 35.76/6.88 % Propositional clauses after purity: 0
% 35.76/6.88 % Propositional unsat core size : 0
% 35.76/6.88 % Propositional preprocessing time : 0.000
% 35.76/6.88 % Propositional encoding time : 0.000
% 35.76/6.88 % Propositional solver time : 0.000
% 35.76/6.88 % Success case prop preproc time : 0.000
% 35.76/6.88 % Success case prop encoding time : 0.000
% 35.76/6.88 % Success case prop solver time : 0.000
% 35.76/6.88 % Current number of processed clauses : 1134
% 35.76/6.88 % Positive orientable unit clauses : 104
% 35.76/6.88 % Positive unorientable unit clauses: 4
% 35.76/6.88 % Negative unit clauses : 168
% 35.76/6.88 % Non-unit-clauses : 858
% 35.76/6.88 % Current number of unprocessed clauses: 80194
% 35.76/6.88 % ...number of literals in the above : 664291
% 35.76/6.88 % Current number of archived formulas : 0
% 35.76/6.88 % Current number of archived clauses : 1144
% 35.76/6.88 % Clause-clause subsumption calls (NU) : 809827
% 35.76/6.88 % Rec. Clause-clause subsumption calls : 25626
% 35.76/6.88 % Non-unit clause-clause subsumptions : 1955
% 35.76/6.88 % Unit Clause-clause subsumption calls : 42437
% 35.76/6.88 % Rewrite failures with RHS unbound : 0
% 35.76/6.88 % BW rewrite match attempts : 66
% 35.76/6.88 % BW rewrite match successes : 41
% 35.76/6.88 % Condensation attempts : 0
% 35.76/6.88 % Condensation successes : 0
% 35.76/6.88 % Termbank termtop insertions : 2204565
% 35.76/6.88 % Search garbage collected termcells : 2745
% 35.76/6.88
% 35.76/6.88 % -------------------------------------------------
% 35.76/6.88 % User time : 5.582 s
% 35.76/6.88 % System time : 0.128 s
% 35.76/6.88 % Total time : 5.710 s
% 35.76/6.88 % Maximum resident set size: 4008 pages
% 35.76/6.88
% 35.76/6.88 % -------------------------------------------------
% 35.76/6.88 % User time : 29.213 s
% 35.76/6.88 % System time : 0.897 s
% 35.76/6.88 % Total time : 30.110 s
% 35.76/6.88 % Maximum resident set size: 4608 pages
% 35.76/6.88 % E exiting
%------------------------------------------------------------------------------