%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV042+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 02:53:35 PM UTC 2026
% Result : Theorem 43.09s 9.05s
% Output : CNFRefutation 43.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 180 ( 46 unt; 0 def)
% Number of atoms : 773 ( 201 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 781 ( 188 ~; 423 |; 122 &)
% ( 4 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 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 : 88 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0081,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,minus(plus(n1,n2),n1))
& 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 ) ) )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = 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 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0081) ).
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(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(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(leq_succ_gt_equiv,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(c_0_12,plain,
( epred2_0
<=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,minus(plus(n1,n2),n1))
& 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 ) ) ) ),
introduced(definition) ).
fof(c_0_13,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,minus(plus(n1,n2),n1))
& 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 ) ) )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = 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 ) ) ) ),
inference(assume_negation,[status(cth)],[gauss_init_0081]) ).
fof(c_0_14,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 ) ) ) ),
introduced(definition) ).
fof(c_0_15,plain,
( epred2_0
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [X20] :
( ( leq(X20,minus(plus(n1,n2),n1))
& 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 ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ ( epred2_0
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13,c_0_12]),c_0_14]) ).
fof(c_0_17,plain,
! [X202,X203,X204,X205] :
( ( ~ 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,X205) = init
| ~ leq(X205,minus(plus(n1,n2),n1))
| ~ leq(n0,X205) )
& ( ~ epred2_0
| a_select2(s_values7_init,X204) = init
| ~ leq(X204,n3)
| ~ leq(n0,X204) )
& ( ~ epred2_0
| a_select3(simplex7_init,X203,X202) = init
| ~ leq(X203,n3)
| ~ leq(n0,X203)
| ~ leq(X202,n2)
| ~ leq(n0,X202) ) ),
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_15])])])])]) ).
fof(c_0_18,negated_conjecture,
( ( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& ( ~ epred3_0
| gt(loopcounter,n1) )
& epred2_0 ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_19,plain,
( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1402_init = init ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,plain,
( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1401_init = init ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( ~ epred2_0
| ~ gt(loopcounter,n1)
| pvar1400_init = init ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,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 ) ) )
=> epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( ~ gt(loopcounter,n1)
| pvar1402_init = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
( ~ epred3_0
| gt(loopcounter,n1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( ~ gt(loopcounter,n1)
| pvar1401_init = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20])]) ).
cnf(c_0_27,plain,
( ~ gt(loopcounter,n1)
| pvar1400_init = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]) ).
fof(c_0_28,plain,
! [X137] : plus(X137,n1) = succ(X137),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_29,plain,
! [X148] : pred(succ(X148)) = X148,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_30,plain,
! [X147] : minus(X147,n1) = pred(X147),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_31,plain,
! [X138] : plus(n1,X138) = succ(X138),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_32,plain,
( ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(esk31_0,n2) )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk31_0) )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(esk30_0,n3)
| leq(esk31_0,n2) )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(esk30_0,n3)
| leq(n0,esk31_0) )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(n0,esk30_0)
| leq(esk31_0,n2) )
& ( epred3_0
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(n0,esk30_0)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(esk29_0,n3)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(esk29_0,n3)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk31_0,n2) )
& ( epred3_0
| leq(esk29_0,n3)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk31_0) )
& ( epred3_0
| leq(esk29_0,n3)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(esk29_0,n3)
| leq(esk30_0,n3)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(esk29_0,n3)
| leq(esk30_0,n3)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(esk29_0,n3)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(esk29_0,n3)
| leq(n0,esk30_0)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(esk29_0,n3)
| leq(n0,esk30_0)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk31_0,n2) )
& ( epred3_0
| leq(n0,esk29_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk31_0) )
& ( epred3_0
| leq(n0,esk29_0)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(n0,esk29_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(n0,esk29_0)
| leq(esk30_0,n3)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(n0,esk29_0)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(esk28_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(esk28_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk31_0,n2) )
& ( epred3_0
| leq(esk28_0,n2)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk31_0) )
& ( epred3_0
| leq(esk28_0,n2)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(esk28_0,n2)
| leq(esk30_0,n3)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(esk28_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(esk28_0,n2)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(esk28_0,n2)
| leq(n0,esk30_0)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(esk28_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(n0,esk28_0)
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(n0,esk28_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(esk31_0,n2) )
& ( epred3_0
| leq(n0,esk28_0)
| a_select2(s_values7_init,esk30_0) != init
| leq(n0,esk31_0) )
& ( epred3_0
| leq(n0,esk28_0)
| leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(n0,esk28_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(n0,esk28_0)
| leq(esk30_0,n3)
| leq(n0,esk31_0) )
& ( epred3_0
| leq(n0,esk28_0)
| leq(n0,esk30_0)
| a_select2(s_center7_init,esk31_0) != init )
& ( epred3_0
| leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) )
& ( epred3_0
| leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(n0,esk31_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_23])])])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ epred3_0
| pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,negated_conjecture,
( ~ epred3_0
| pvar1402_init = init ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,negated_conjecture,
( ~ epred3_0
| pvar1401_init = init ),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_36,negated_conjecture,
( ~ epred3_0
| pvar1400_init = init ),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_37,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_38,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_40,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( ~ epred2_0
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| a_select2(s_values7_init,X1) = init ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_44,plain,
( epred3_0
| leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_46,plain,
( epred3_0
| leq(n0,esk28_0)
| leq(esk30_0,n3)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(esk30_0,n3)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,plain,
( epred3_0
| leq(esk28_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_50,plain,
( epred3_0
| leq(esk28_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51,plain,
( epred3_0
| leq(esk29_0,n3)
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( epred3_0
| leq(esk29_0,n3)
| leq(esk30_0,n3)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_53,plain,
( epred3_0
| leq(n0,esk28_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_54,plain,
( epred3_0
| leq(n0,esk28_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_55,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_56,plain,
( epred3_0
| leq(n0,esk29_0)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_57,plain,
( epred3_0
| leq(esk28_0,n2)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_58,plain,
( epred3_0
| leq(esk28_0,n2)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_59,plain,
( epred3_0
| leq(esk29_0,n3)
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_60,plain,
( epred3_0
| leq(esk29_0,n3)
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_61,plain,
! [X139] : plus(X139,n2) = succ(succ(X139)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_62,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_63,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_64,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_38]) ).
cnf(c_0_65,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_66,plain,
( ~ epred2_0
| ~ leq(X1,minus(plus(n1,n2),n1))
| ~ leq(n0,X1)
| a_select2(s_center7_init,X1) = init ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_67,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_38]),c_0_41]) ).
cnf(c_0_68,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_42,c_0_38]) ).
cnf(c_0_69,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_17]) ).
cnf(c_0_70,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(n0,esk28_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_71,plain,
( ~ leq(n0,X1)
| ~ leq(X1,n3)
| a_select2(s_values7_init,X1) = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_20])]) ).
cnf(c_0_72,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk28_0) ),
inference(sr,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_73,plain,
( leq(esk30_0,n3)
| leq(n0,esk31_0)
| leq(n0,esk28_0) ),
inference(sr,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_74,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_75,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_0)
| leq(n0,esk29_0) ),
inference(sr,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_76,plain,
( leq(esk30_0,n3)
| leq(n0,esk31_0)
| leq(n0,esk29_0) ),
inference(sr,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_77,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(esk28_0,n2)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_78,plain,
( leq(esk28_0,n2)
| leq(n0,esk31_0)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_79,plain,
( leq(esk30_0,n3)
| leq(esk28_0,n2)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_50,c_0_45]) ).
cnf(c_0_80,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(esk29_0,n3)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_81,plain,
( leq(esk29_0,n3)
| leq(n0,esk31_0)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_51,c_0_45]) ).
cnf(c_0_82,plain,
( leq(esk30_0,n3)
| leq(esk29_0,n3)
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_83,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(n0,esk28_0)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_84,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk28_0) ),
inference(sr,[status(thm)],[c_0_53,c_0_45]) ).
cnf(c_0_85,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk28_0) ),
inference(sr,[status(thm)],[c_0_54,c_0_45]) ).
cnf(c_0_86,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_87,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_0)
| leq(n0,esk29_0) ),
inference(sr,[status(thm)],[c_0_55,c_0_45]) ).
cnf(c_0_88,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(n0,esk29_0) ),
inference(sr,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_89,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(esk28_0,n2)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_90,plain,
( leq(esk31_0,n2)
| leq(esk28_0,n2)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_57,c_0_45]) ).
cnf(c_0_91,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk28_0,n2) ),
inference(sr,[status(thm)],[c_0_58,c_0_45]) ).
cnf(c_0_92,plain,
( a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(esk29_0,n3)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_93,plain,
( leq(esk31_0,n2)
| leq(esk29_0,n3)
| leq(n0,esk30_0) ),
inference(sr,[status(thm)],[c_0_59,c_0_45]) ).
cnf(c_0_94,plain,
( leq(esk31_0,n2)
| leq(esk30_0,n3)
| leq(esk29_0,n3) ),
inference(sr,[status(thm)],[c_0_60,c_0_45]) ).
fof(c_0_95,plain,
! [X140] : plus(n2,X140) = succ(succ(X140)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_96,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_97,plain,
( ~ gt(X1,X2)
| leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_98,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_99,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_100,plain,
( ~ leq(n0,X1)
| ~ leq(X1,minus(plus(n1,n2),n1))
| a_select2(s_center7_init,X1) = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_20])]) ).
cnf(c_0_101,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_102,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0
| leq(n0,esk30_0)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_103,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_69,c_0_20])]) ).
cnf(c_0_104,plain,
( leq(n0,esk31_0)
| leq(n0,esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_45]),c_0_72]),c_0_73]) ).
cnf(c_0_105,plain,
( leq(n0,esk31_0)
| leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_71]),c_0_45]),c_0_75]),c_0_76]) ).
cnf(c_0_106,plain,
( leq(esk28_0,n2)
| leq(n0,esk31_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_71]),c_0_45]),c_0_78]),c_0_79]) ).
cnf(c_0_107,plain,
( leq(esk29_0,n3)
| 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_71]),c_0_45]),c_0_81]),c_0_82]) ).
cnf(c_0_108,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0
| leq(n0,esk30_0)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_109,plain,
( leq(esk31_0,n2)
| leq(n0,esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_71]),c_0_45]),c_0_84]),c_0_85]) ).
cnf(c_0_110,plain,
( leq(esk31_0,n2)
| leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_71]),c_0_45]),c_0_87]),c_0_88]) ).
cnf(c_0_111,plain,
( leq(esk31_0,n2)
| leq(esk28_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_71]),c_0_45]),c_0_90]),c_0_91]) ).
cnf(c_0_112,plain,
( leq(esk31_0,n2)
| leq(esk29_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_71]),c_0_45]),c_0_93]),c_0_94]) ).
fof(c_0_113,plain,
! [X53,X54] :
( ( leq(X53,X54)
| ~ gt(succ(X54),X53) )
& ( gt(succ(X54),X53)
| ~ leq(X53,X54) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])])]) ).
cnf(c_0_114,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_115,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_38]),c_0_38]) ).
cnf(c_0_116,plain,
( a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(esk29_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_117,plain,
( ~ gt(X1,X2)
| leq(X2,minus(X1,n1)) ),
inference(rw,[status(thm)],[c_0_97,c_0_41]) ).
cnf(c_0_118,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_65]),c_0_99]),c_0_68]) ).
cnf(c_0_119,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(esk29_0,n3)
| leq(n0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_120,plain,
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| a_select2(s_center7_init,X1) = init ),
inference(rw,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_121,plain,
( leq(n0,esk31_0)
| leq(n0,esk30_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_102,c_0_103]),c_0_45]),c_0_104]),c_0_105]),c_0_106]),c_0_107]) ).
cnf(c_0_122,plain,
( leq(esk31_0,n2)
| leq(n0,esk30_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_108,c_0_103]),c_0_45]),c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_123,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(esk29_0,n3)
| leq(esk30_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_124,plain,
( ~ leq(X1,X2)
| gt(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_125,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_38]),c_0_38]) ).
cnf(c_0_126,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_115,c_0_68]) ).
cnf(c_0_127,plain,
( a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(esk28_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_128,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(esk28_0,n2)
| leq(n0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_129,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(esk28_0,n2)
| leq(esk30_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_130,plain,
( a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(n0,esk29_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_131,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(n0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_132,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(n0,esk29_0)
| leq(esk30_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_133,plain,
( a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(n0,esk28_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_134,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(n0,esk28_0)
| leq(n0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_135,plain,
( a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(n0,esk28_0)
| leq(esk30_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_136,plain,
( ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init
| leq(esk29_0,n3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_71]),c_0_45]) ).
cnf(c_0_137,plain,
( ~ gt(n3,X1)
| ~ leq(n0,X1)
| a_select2(s_center7_init,X1) = init ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_117]),c_0_118]) ).
cnf(c_0_138,plain,
( leq(esk29_0,n3)
| leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_45]),c_0_121]),c_0_122]) ).
cnf(c_0_139,plain,
( leq(esk30_0,n3)
| leq(esk29_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_120]),c_0_45]),c_0_107]),c_0_112]) ).
cnf(c_0_140,plain,
( ~ leq(X1,X2)
| gt(plus(X2,n1),X1) ),
inference(rw,[status(thm)],[c_0_124,c_0_38]) ).
cnf(c_0_141,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_68]),c_0_126]) ).
cnf(c_0_142,plain,
( ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init
| leq(esk28_0,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_71]),c_0_45]) ).
cnf(c_0_143,plain,
( leq(esk28_0,n2)
| leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_120]),c_0_45]),c_0_121]),c_0_122]) ).
cnf(c_0_144,plain,
( leq(esk30_0,n3)
| leq(esk28_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_120]),c_0_45]),c_0_106]),c_0_111]) ).
cnf(c_0_145,plain,
( ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk29_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_71]),c_0_45]) ).
cnf(c_0_146,plain,
( leq(n0,esk30_0)
| leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_120]),c_0_45]),c_0_105]),c_0_110]) ).
cnf(c_0_147,plain,
( leq(esk30_0,n3)
| leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_120]),c_0_45]),c_0_105]),c_0_110]) ).
cnf(c_0_148,plain,
( ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init
| leq(n0,esk28_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_71]),c_0_45]) ).
cnf(c_0_149,plain,
( leq(n0,esk30_0)
| leq(n0,esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_120]),c_0_45]),c_0_104]),c_0_109]) ).
cnf(c_0_150,plain,
( leq(esk30_0,n3)
| leq(n0,esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_120]),c_0_45]),c_0_104]),c_0_109]) ).
cnf(c_0_151,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init
| a_select2(s_center7_init,esk31_0) != init
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_152,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_153,plain,
( ~ gt(n3,esk31_0)
| leq(esk29_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_107]),c_0_138]),c_0_139]) ).
cnf(c_0_154,plain,
( ~ leq(X1,n2)
| gt(n3,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_118]) ).
cnf(c_0_155,plain,
( ~ gt(n3,esk31_0)
| leq(esk28_0,n2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_137]),c_0_106]),c_0_143]),c_0_144]) ).
cnf(c_0_156,plain,
( ~ gt(n3,esk31_0)
| leq(n0,esk29_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_137]),c_0_105]),c_0_146]),c_0_147]) ).
cnf(c_0_157,plain,
( ~ gt(n3,esk31_0)
| leq(n0,esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_137]),c_0_104]),c_0_149]),c_0_150]) ).
cnf(c_0_158,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0
| leq(esk30_0,n3)
| leq(n0,esk31_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_159,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| epred3_0
| leq(esk30_0,n3)
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_160,plain,
( ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select2(s_center7_init,esk31_0) != init
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_71]),c_0_45]) ).
cnf(c_0_161,plain,
( ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(n0,esk31_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_71]),c_0_45]) ).
cnf(c_0_162,plain,
leq(esk29_0,n3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_112]) ).
cnf(c_0_163,plain,
leq(esk28_0,n2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_154]),c_0_111]) ).
cnf(c_0_164,plain,
leq(n0,esk29_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_154]),c_0_110]) ).
cnf(c_0_165,plain,
leq(n0,esk28_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_154]),c_0_109]) ).
cnf(c_0_166,plain,
( leq(esk30_0,n3)
| 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_158,c_0_103]),c_0_45]),c_0_104]),c_0_105]),c_0_106]),c_0_107]) ).
cnf(c_0_167,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(n0,esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_168,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_center7_init,esk31_0) != init
| epred3_0
| leq(esk30_0,n3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_169,plain,
( leq(esk31_0,n2)
| 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_159,c_0_103]),c_0_45]),c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_170,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| a_select2(s_values7_init,esk30_0) != init
| epred3_0
| leq(esk31_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_171,plain,
( ~ gt(n3,esk31_0)
| ~ leq(n0,esk31_0)
| ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(spm,[status(thm)],[c_0_160,c_0_137]) ).
cnf(c_0_172,plain,
leq(n0,esk31_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_161,c_0_103]),c_0_162]),c_0_163]),c_0_164]),c_0_165])]),c_0_121]),c_0_166]) ).
cnf(c_0_173,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(n0,esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_120]),c_0_45]),c_0_121]),c_0_122]) ).
cnf(c_0_174,plain,
( a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(esk30_0,n3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_120]),c_0_45]),c_0_166]),c_0_169]) ).
cnf(c_0_175,plain,
( ~ leq(n0,esk30_0)
| ~ leq(esk30_0,n3)
| a_select3(simplex7_init,esk29_0,esk28_0) != init
| leq(esk31_0,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_71]),c_0_45]) ).
cnf(c_0_176,plain,
( ~ gt(n3,esk31_0)
| a_select3(simplex7_init,esk29_0,esk28_0) != init ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]),c_0_173]),c_0_174]) ).
cnf(c_0_177,plain,
leq(esk31_0,n2),
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_175,c_0_103]),c_0_162]),c_0_163]),c_0_164]),c_0_165])]),c_0_122]),c_0_169]) ).
cnf(c_0_178,plain,
a_select3(simplex7_init,esk29_0,esk28_0) != init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_154]),c_0_177])]) ).
cnf(c_0_179,plain,
$false,
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_178,c_0_103]),c_0_162]),c_0_163]),c_0_164]),c_0_165])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV042+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n018.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 08:30:59 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 43.09/9.04 % Version: 3.5.1
% 43.09/9.04 % Preprocessing class: FSLSSMSMSSSNFFN.
% 43.09/9.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.09/9.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 43.09/9.04 % Starting new_bool_3 with 300s (1) cores
% 43.09/9.04 % Starting new_bool_1 with 300s (1) cores
% 43.09/9.04 % Starting sh5l with 300s (1) cores
% 43.09/9.04 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1452914 completed with status 0
% 43.09/9.04 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 43.09/9.04 % Preprocessing class: FSLSSMSMSSSNFFN.
% 43.09/9.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.09/9.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 43.09/9.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.09/9.04 % No SInE strategy applied
% 43.09/9.04 % Search class: FGHSM-FSLM33-DFFFFFNN
% 43.09/9.04 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 43.09/9.04 % Starting SubtermCWHack with 136s (1) cores
% 43.09/9.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 43.09/9.04 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 43.09/9.05 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 43.09/9.05 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 43.09/9.05 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 1452924 completed with status 0
% 43.09/9.05 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 43.09/9.05 % Preprocessing class: FSLSSMSMSSSNFFN.
% 43.09/9.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.09/9.05 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 43.09/9.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.09/9.05 % No SInE strategy applied
% 43.09/9.05 % Search class: FGHSM-FSLM33-DFFFFFNN
% 43.09/9.05 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 43.09/9.05 % Starting SubtermCWHack with 136s (1) cores
% 43.09/9.05 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 43.09/9.05 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 43.09/9.05 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 43.09/9.05 % Preprocessing time : 0.011 s
% 43.09/9.05
% 43.09/9.05 % Proof found!
% 43.09/9.05 % SZS status Theorem
% 43.09/9.05 % SZS output start CNFRefutation
% See solution above
% 43.09/9.05 % Parsed axioms : 85
% 43.09/9.05 % Removed by relevancy pruning/SinE : 0
% 43.09/9.05 % Initial clauses : 246
% 43.09/9.05 % Removed in clause preprocessing : 2
% 43.09/9.05 % Initial clauses in saturation : 244
% 43.09/9.05 % Processed clauses : 5620
% 43.09/9.05 % ...of these trivial : 52
% 43.09/9.05 % ...subsumed : 3176
% 43.09/9.05 % ...remaining for further processing : 2392
% 43.09/9.05 % Other redundant clauses eliminated : 37
% 43.09/9.05 % Clauses deleted for lack of memory : 0
% 43.09/9.05 % Backward-subsumed : 495
% 43.09/9.05 % Backward-rewritten : 280
% 43.09/9.05 % Generated clauses : 102304
% 43.09/9.05 % ...of the previous two non-redundant : 99358
% 43.09/9.05 % ...aggressively subsumed : 0
% 43.09/9.05 % Contextual simplify-reflections : 270
% 43.09/9.05 % Paramodulations : 101937
% 43.09/9.05 % Factorizations : 312
% 43.09/9.05 % NegExts : 0
% 43.09/9.05 % Equation resolutions : 39
% 43.09/9.05 % Disequality decompositions : 0
% 43.09/9.05 % Total rewrite steps : 30743
% 43.09/9.05 % ...of those cached : 30512
% 43.09/9.05 % Propositional unsat checks : 0
% 43.09/9.05 % Propositional check models : 0
% 43.09/9.05 % Propositional check unsatisfiable : 0
% 43.09/9.05 % Propositional clauses : 0
% 43.09/9.05 % Propositional clauses after purity: 0
% 43.09/9.05 % Propositional unsat core size : 0
% 43.09/9.05 % Propositional preprocessing time : 0.000
% 43.09/9.05 % Propositional encoding time : 0.000
% 43.09/9.05 % Propositional solver time : 0.000
% 43.09/9.05 % Success case prop preproc time : 0.000
% 43.09/9.05 % Success case prop encoding time : 0.000
% 43.09/9.05 % Success case prop solver time : 0.000
% 43.09/9.05 % Current number of processed clauses : 1600
% 43.09/9.05 % Positive orientable unit clauses : 125
% 43.09/9.05 % Positive unorientable unit clauses: 5
% 43.09/9.05 % Negative unit clauses : 202
% 43.09/9.05 % Non-unit-clauses : 1268
% 43.09/9.05 % Current number of unprocessed clauses: 90959
% 43.09/9.05 % ...number of literals in the above : 823273
% 43.09/9.05 % Current number of archived formulas : 0
% 43.09/9.05 % Current number of archived clauses : 793
% 43.09/9.05 % Clause-clause subsumption calls (NU) : 657352
% 43.09/9.05 % Rec. Clause-clause subsumption calls : 30646
% 43.09/9.05 % Non-unit clause-clause subsumptions : 2315
% 43.09/9.05 % Unit Clause-clause subsumption calls : 35565
% 43.09/9.05 % Rewrite failures with RHS unbound : 0
% 43.09/9.05 % BW rewrite match attempts : 41
% 43.09/9.05 % BW rewrite match successes : 27
% 43.09/9.05 % Condensation attempts : 0
% 43.09/9.05 % Condensation successes : 0
% 43.09/9.05 % Termbank termtop insertions : 2518039
% 43.09/9.05 % Search garbage collected termcells : 2670
% 43.09/9.05
% 43.09/9.05 % -------------------------------------------------
% 43.09/9.05 % User time : 6.189 s
% 43.09/9.05 % System time : 0.154 s
% 43.09/9.05 % Total time : 6.343 s
% 43.09/9.05 % Maximum resident set size: 4260 pages
% 43.09/9.05
% 43.09/9.05 % -------------------------------------------------
% 43.09/9.05 % User time : 33.418 s
% 43.09/9.05 % System time : 0.995 s
% 43.09/9.05 % Total time : 34.412 s
% 43.09/9.05 % Maximum resident set size: 4608 pages
% 43.09/9.05 % E exiting
%------------------------------------------------------------------------------