%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV042+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:20:41 PM UTC 2026
% Result : Theorem 9.37s 6.03s
% Output : CNFRefutation 9.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 150 ( 25 unt; 0 def)
% Number of atoms : 712 ( 166 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 755 ( 193 ~; 425 |; 102 &)
% ( 2 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0081,conjecture,
( ( ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0081) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(c_0_5,plain,
( epred2_0
<=> ( ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( epred3_0
<=> ( ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init ) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( epred2_0
=> ( ! [X14] :
( ( leq(n0,X14)
& leq(X14,n2) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n3) )
=> a_select3(simplex7_init,X18,X14) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select2(s_values7_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,minus(plus(n1,n2),n1)) )
=> a_select2(s_center7_init,X20) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
~ ( epred2_0
=> ( epred3_0
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_init_0081]),c_0_5]),c_0_6]) ).
fof(c_0_9,plain,
! [X378,X379,X380,X381] :
( ( ~ leq(n0,X378)
| ~ leq(X378,n2)
| ~ leq(n0,X379)
| ~ leq(X379,n3)
| a_select3(simplex7_init,X379,X378) = init
| ~ epred2_0 )
& ( ~ leq(n0,X380)
| ~ leq(X380,n3)
| a_select2(s_values7_init,X380) = init
| ~ epred2_0 )
& ( ~ leq(n0,X381)
| ~ leq(X381,minus(plus(n1,n2),n1))
| a_select2(s_center7_init,X381) = init
| ~ epred2_0 )
& ( pvar1400_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 )
& ( pvar1401_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 )
& ( pvar1402_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_10,negated_conjecture,
( epred2_0
& ( gt(loopcounter,n1)
| ~ epred3_0 )
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_11,plain,
! [X314] : plus(n1,X314) = succ(X314),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_12,plain,
! [X313] : plus(X313,n1) = succ(X313),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
cnf(c_0_13,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X324] : pred(succ(X324)) = X324,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_20,plain,
! [X323] : minus(X323,n1) = pred(X323),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_21,plain,
( ( ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select3(simplex7_init,X22,X21) = init ) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> a_select2(s_values7_init,X28) = init )
& ! [X29] :
( ( leq(n0,X29)
& leq(X29,n2) )
=> a_select2(s_center7_init,X29) = init ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_23,negated_conjecture,
( gt(loopcounter,n1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14])]) ).
cnf(c_0_25,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14])]) ).
cnf(c_0_26,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,minus(plus(n1,n2),n1))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_28,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_30,plain,
( ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk28_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk28_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk28_0,n2)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(esk28_0,n2)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk29_0)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk29_0)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk29_0,n3)
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(esk29_0,n3)
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(n0,esk31_0)
| leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(esk31_0,n2)
| leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(n0,esk31_0)
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( leq(esk31_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 )
& ( a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_31,negated_conjecture,
( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
( pvar1402_init = init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( pvar1401_init = init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( pvar1400_init = init
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_35,plain,
( a_select2(s_values7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(X1,minus(plus(n2,n1),n1))
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_14]),c_0_27])]) ).
cnf(c_0_37,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_18]),c_0_29]) ).
cnf(c_0_38,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_40,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_47,plain,
( epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_48,plain,
( a_select2(s_values7_init,X1) = init
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_14])]) ).
cnf(c_0_49,plain,
( leq(n0,esk30_0)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_50,plain,
( a_select2(s_center7_init,X1) = init
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_51,plain,
( leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_52,plain,
( leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_53,plain,
( leq(esk30_0,n3)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,plain,
( leq(n0,esk28_0)
| leq(n0,esk31_0)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_55,plain,
( leq(n0,esk28_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_56,plain,
( leq(n0,esk30_0)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_57,plain,
( leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_58,plain,
( leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_59,plain,
( leq(esk30_0,n3)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_60,plain,
( leq(n0,esk29_0)
| leq(n0,esk31_0)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_61,plain,
( leq(n0,esk29_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_62,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_63,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_64,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_65,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_66,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_67,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_68,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_69,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_70,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_center7_init,esk31_0) != init
| ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_39]) ).
cnf(c_0_71,plain,
( a_select3(simplex7_init,X2,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_72,plain,
( leq(n0,esk28_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_73,plain,
( leq(n0,esk28_0)
| leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_39]),c_0_51]),c_0_52]) ).
cnf(c_0_74,plain,
( leq(n0,esk28_0)
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_50]),c_0_39]),c_0_54]),c_0_55]) ).
cnf(c_0_75,plain,
( leq(n0,esk31_0)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_76,plain,
( leq(esk31_0,n2)
| leq(n0,esk28_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_77,plain,
( leq(n0,esk29_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_78,plain,
( leq(n0,esk29_0)
| leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_50]),c_0_39]),c_0_57]),c_0_58]) ).
cnf(c_0_79,plain,
( leq(n0,esk29_0)
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_39]),c_0_60]),c_0_61]) ).
cnf(c_0_80,plain,
( leq(n0,esk31_0)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_81,plain,
( leq(esk31_0,n2)
| leq(n0,esk29_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_82,plain,
( leq(n0,esk30_0)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_83,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(esk28_0,n2) ),
inference(sr,[status(thm)],[c_0_62,c_0_39]) ).
cnf(c_0_84,plain,
( leq(n0,esk30_0)
| leq(esk28_0,n2)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_63,c_0_39]) ).
cnf(c_0_85,plain,
( leq(esk30_0,n3)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_86,plain,
( leq(n0,esk31_0)
| leq(esk28_0,n2)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_64,c_0_39]) ).
cnf(c_0_87,plain,
( leq(esk28_0,n2)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_65,c_0_39]) ).
cnf(c_0_88,plain,
( leq(n0,esk30_0)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_89,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0)
| leq(esk29_0,n3) ),
inference(sr,[status(thm)],[c_0_66,c_0_39]) ).
cnf(c_0_90,plain,
( leq(n0,esk30_0)
| leq(esk29_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_67,c_0_39]) ).
cnf(c_0_91,plain,
( leq(esk30_0,n3)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_92,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n3)
| leq(esk30_0,n3) ),
inference(sr,[status(thm)],[c_0_68,c_0_39]) ).
cnf(c_0_93,plain,
( leq(esk29_0,n3)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[c_0_69,c_0_39]) ).
cnf(c_0_94,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0)
| ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_50]) ).
cnf(c_0_95,plain,
( a_select3(simplex7_init,X1,X2) = init
| ~ leq(X1,n3)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_14])]) ).
cnf(c_0_96,plain,
( leq(n0,esk28_0)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_48]),c_0_39]),c_0_73]),c_0_74]) ).
cnf(c_0_97,plain,
( leq(n0,esk28_0)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_48]),c_0_39]),c_0_73]),c_0_74]) ).
cnf(c_0_98,plain,
( leq(n0,esk28_0)
| leq(esk31_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_48]),c_0_39]),c_0_73]),c_0_74]) ).
cnf(c_0_99,plain,
( leq(n0,esk29_0)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_48]),c_0_39]),c_0_78]),c_0_79]) ).
cnf(c_0_100,plain,
( leq(n0,esk29_0)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_48]),c_0_39]),c_0_78]),c_0_79]) ).
cnf(c_0_101,plain,
( leq(n0,esk29_0)
| leq(esk31_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_48]),c_0_39]),c_0_78]),c_0_79]) ).
cnf(c_0_102,plain,
( leq(esk28_0,n2)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_103,plain,
( leq(n0,esk30_0)
| leq(esk28_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_50]),c_0_39]),c_0_83]),c_0_84]) ).
cnf(c_0_104,plain,
( leq(esk28_0,n2)
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_50]),c_0_39]),c_0_86]),c_0_87]) ).
cnf(c_0_105,plain,
( leq(n0,esk31_0)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_106,plain,
( leq(esk31_0,n2)
| leq(esk28_0,n2)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_107,plain,
( leq(esk29_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_108,plain,
( leq(n0,esk30_0)
| leq(esk29_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_50]),c_0_39]),c_0_89]),c_0_90]) ).
cnf(c_0_109,plain,
( leq(esk29_0,n3)
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_50]),c_0_39]),c_0_92]),c_0_93]) ).
cnf(c_0_110,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_111,plain,
( leq(esk31_0,n2)
| leq(esk29_0,n3)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_112,plain,
( ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0)
| ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0)
| ~ leq(esk29_0,n3)
| ~ leq(esk28_0,n2)
| ~ leq(n0,esk29_0)
| ~ leq(n0,esk28_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_113,plain,
leq(n0,esk28_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_50]),c_0_97]),c_0_98]) ).
cnf(c_0_114,plain,
leq(n0,esk29_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_50]),c_0_100]),c_0_101]) ).
cnf(c_0_115,plain,
( leq(esk28_0,n2)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_48]),c_0_39]),c_0_103]),c_0_104]) ).
cnf(c_0_116,plain,
( leq(n0,esk31_0)
| leq(esk28_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_48]),c_0_39]),c_0_103]),c_0_104]) ).
cnf(c_0_117,plain,
( leq(esk28_0,n2)
| leq(esk31_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_48]),c_0_39]),c_0_103]),c_0_104]) ).
cnf(c_0_118,plain,
( leq(n0,esk30_0)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_119,plain,
( leq(esk29_0,n3)
| a_select2(s_center7_init,esk31_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_48]),c_0_39]),c_0_108]),c_0_109]) ).
cnf(c_0_120,plain,
( leq(n0,esk31_0)
| leq(esk29_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_48]),c_0_39]),c_0_108]),c_0_109]) ).
cnf(c_0_121,plain,
( leq(esk29_0,n3)
| leq(esk31_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_48]),c_0_39]),c_0_108]),c_0_109]) ).
cnf(c_0_122,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_123,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_124,plain,
( leq(esk30_0,n3)
| epred3_0
| a_select2(s_center7_init,esk31_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_125,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_126,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_127,plain,
( ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0)
| ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0)
| ~ leq(esk29_0,n3)
| ~ leq(esk28_0,n2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),c_0_114])]) ).
cnf(c_0_128,plain,
leq(esk28_0,n2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_50]),c_0_116]),c_0_117]) ).
cnf(c_0_129,plain,
( leq(esk31_0,n2)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_130,plain,
( leq(n0,esk30_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_50]),c_0_39]) ).
cnf(c_0_131,plain,
leq(esk29_0,n3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_50]),c_0_120]),c_0_121]) ).
cnf(c_0_132,plain,
( leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_95]),c_0_39]),c_0_97]),c_0_100]),c_0_116]),c_0_120]) ).
cnf(c_0_133,plain,
( leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_95]),c_0_39]),c_0_73]),c_0_78]),c_0_103]),c_0_108]) ).
cnf(c_0_134,plain,
( leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_50]),c_0_39]) ).
cnf(c_0_135,plain,
( leq(n0,esk31_0)
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_95]),c_0_39]),c_0_97]),c_0_100]),c_0_116]),c_0_120]) ).
cnf(c_0_136,plain,
( leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_95]),c_0_39]),c_0_98]),c_0_101]),c_0_117]),c_0_121]) ).
cnf(c_0_137,plain,
( ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0)
| ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0)
| ~ leq(esk29_0,n3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).
cnf(c_0_138,plain,
( leq(esk31_0,n2)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_48]),c_0_39]) ).
cnf(c_0_139,plain,
leq(n0,esk30_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_95]),c_0_131]),c_0_128]),c_0_114]),c_0_113])]),c_0_132]),c_0_133]) ).
cnf(c_0_140,plain,
leq(esk30_0,n3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_95]),c_0_131]),c_0_128]),c_0_114]),c_0_113])]),c_0_135]),c_0_136]) ).
cnf(c_0_141,plain,
( leq(n0,esk31_0)
| epred3_0
| a_select2(s_values7_init,esk30_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_142,plain,
( ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0)
| ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_131])]) ).
cnf(c_0_143,plain,
( leq(esk31_0,n2)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]),c_0_140])]) ).
cnf(c_0_144,plain,
( leq(n0,esk31_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| ~ leq(esk30_0,n3)
| ~ leq(n0,esk30_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_48]),c_0_39]) ).
cnf(c_0_145,plain,
( ~ leq(esk31_0,n2)
| ~ leq(n0,esk31_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_139])]),c_0_140])]) ).
cnf(c_0_146,plain,
leq(esk31_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_95]),c_0_131]),c_0_128]),c_0_114]),c_0_113])]) ).
cnf(c_0_147,plain,
( leq(n0,esk31_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_139])]),c_0_140])]) ).
cnf(c_0_148,plain,
~ leq(n0,esk31_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).
cnf(c_0_149,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_95]),c_0_131]),c_0_128]),c_0_114]),c_0_113])]),c_0_148]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV042+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 5 04:53:56 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 9.37/6.03 % Version : CSE_E---1.7
% 9.37/6.03 % Problem : theBenchmark.p
% 9.37/6.03 % SZS status Theorem for theBenchmark.p
% 9.37/6.03 % SZS output start CNFRefutation
% See solution above
% 9.37/6.07 % Total time : 4.425s
%------------------------------------------------------------------------------