%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV031+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 : n028.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 05:20:40 PM UTC 2026
% Result : Theorem 2.14s 1.95s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 86 ( 11 unt; 0 def)
% Number of atoms : 450 ( 141 equ)
% Maximal formula atoms : 103 ( 5 avg)
% Number of connectives : 613 ( 249 ~; 291 |; 58 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0037,conjecture,
( ( init = init
& leq(n0,pv9)
& leq(n0,pv10)
& leq(pv9,minus(n410,n1))
& leq(pv10,minus(n330,n1))
& ! [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 ) )
=> ( init = init
& a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init
& leq(n0,pv9)
& leq(pv9,minus(n410,n1))
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n2) )
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n3) )
=> a_select3(simplex7_init,X21,X20) = init ) )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select2(s_values7_init,X22) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0037) ).
fof(const_array2_select,axiom,
! [X5,X9,X10,X11,X12,X13,X8] :
( ( leq(X9,X5)
& leq(X5,X10)
& leq(X12,X11)
& leq(X11,X13) )
=> a_select3(tptp_const_array2(dim(X9,X10),dim(X12,X13),X8),X5,X11) = X8 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',const_array2_select) ).
fof(c_0_2,negated_conjecture,
~ ( ( init = init
& leq(n0,pv9)
& leq(n0,pv10)
& leq(pv9,minus(n410,n1))
& leq(pv10,minus(n330,n1))
& ! [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 ) )
=> ( init = init
& a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init
& leq(n0,pv9)
& leq(pv9,minus(n410,n1))
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n2) )
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n3) )
=> a_select3(simplex7_init,X21,X20) = init ) )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n3) )
=> a_select2(s_values7_init,X22) = init ) ) ),
inference(assume_negation,[status(cth)],[gauss_init_0037]) ).
fof(c_0_3,negated_conjecture,
! [X360,X361,X362] :
( init = init
& leq(n0,pv9)
& leq(n0,pv10)
& leq(pv9,minus(n410,n1))
& leq(pv10,minus(n330,n1))
& ( ~ leq(n0,X360)
| ~ leq(X360,n2)
| ~ leq(n0,X361)
| ~ leq(X361,n3)
| a_select3(simplex7_init,X361,X360) = init )
& ( ~ leq(n0,X362)
| ~ leq(X362,n3)
| a_select2(s_values7_init,X362) = init )
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(esk26_0,n3)
| leq(n0,esk24_0)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( a_select2(s_values7_init,esk26_0) != init
| leq(n0,esk24_0)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(n0,esk26_0)
| leq(esk24_0,n2)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(esk26_0,n3)
| leq(esk24_0,n2)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( a_select2(s_values7_init,esk26_0) != init
| leq(esk24_0,n2)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(n0,esk26_0)
| leq(n0,esk25_0)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(esk26_0,n3)
| leq(n0,esk25_0)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( a_select2(s_values7_init,esk26_0) != init
| leq(n0,esk25_0)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(n0,esk26_0)
| leq(esk25_0,n3)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(esk26_0,n3)
| leq(esk25_0,n3)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( a_select2(s_values7_init,esk26_0) != init
| leq(esk25_0,n3)
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(n0,esk26_0)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( leq(esk26_0,n3)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) )
& ( a_select2(s_values7_init,esk26_0) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| init != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
cnf(c_0_4,negated_conjecture,
( a_select2(s_values7_init,esk26_0) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( a_select2(s_values7_init,esk26_0) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
leq(n0,pv9),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( leq(esk24_0,n2)
| a_select2(s_values7_init,esk26_0) != init
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( leq(n0,esk24_0)
| a_select2(s_values7_init,esk26_0) != init
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| a_select2(s_values7_init,esk26_0) != init
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_11,negated_conjecture,
leq(pv9,minus(n410,n1)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_12,plain,
! [X235,X236,X237,X238,X239,X240,X241] :
( ~ leq(X236,X235)
| ~ leq(X235,X237)
| ~ leq(X239,X238)
| ~ leq(X238,X240)
| a_select3(tptp_const_array2(dim(X236,X237),dim(X239,X240),X241),X235,X238) = X241 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array2_select])]) ).
cnf(c_0_13,negated_conjecture,
( leq(esk24_0,n2)
| a_select2(s_values7_init,esk26_0) != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( leq(n0,esk24_0)
| a_select2(s_values7_init,esk26_0) != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( leq(n0,esk24_0)
| leq(n0,esk26_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( leq(esk25_0,n3)
| a_select2(s_values7_init,esk26_0) != init
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| a_select2(s_values7_init,esk26_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_18,plain,
( a_select3(tptp_const_array2(dim(X1,X3),dim(X4,X6),X7),X2,X5) = X7
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ leq(X4,X5)
| ~ leq(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
leq(pv10,minus(n330,n1)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,negated_conjecture,
( leq(esk24_0,n2)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select2(s_values7_init,esk26_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_6]),c_0_11])]) ).
cnf(c_0_22,negated_conjecture,
( leq(esk26_0,n3)
| leq(n0,esk24_0)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( leq(n0,esk24_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select2(s_values7_init,esk26_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_6]),c_0_11])]) ).
cnf(c_0_24,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_6]),c_0_11])]) ).
cnf(c_0_25,negated_conjecture,
( leq(esk25_0,n3)
| a_select2(s_values7_init,esk26_0) != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( leq(n0,esk25_0)
| a_select2(s_values7_init,esk26_0) != init
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( a_select3(simplex7_init,esk25_0,esk24_0) != init
| a_select2(s_values7_init,esk26_0) != init ),
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_17,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_28,negated_conjecture,
( a_select2(s_values7_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,negated_conjecture,
( leq(esk24_0,n2)
| a_select2(s_values7_init,esk26_0) != init ),
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_21,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_30,negated_conjecture,
( leq(n0,esk24_0)
| leq(esk26_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( leq(n0,esk24_0)
| a_select2(s_values7_init,esk26_0) != init ),
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_23,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_32,negated_conjecture,
( leq(n0,esk24_0)
| leq(n0,esk26_0) ),
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_24,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_33,negated_conjecture,
( leq(esk25_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select2(s_values7_init,esk26_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_6]),c_0_11])]) ).
cnf(c_0_34,negated_conjecture,
( leq(n0,esk25_0)
| a_select2(s_values7_init,esk26_0) != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( a_select3(simplex7_init,esk25_0,esk24_0) != init
| ~ leq(esk26_0,n3)
| ~ leq(n0,esk26_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( a_select3(simplex7_init,X2,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(X2,n3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( leq(esk24_0,n2)
| ~ leq(esk26_0,n3)
| ~ leq(n0,esk26_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
( leq(esk26_0,n3)
| leq(n0,esk24_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_6]),c_0_11])]) ).
cnf(c_0_39,negated_conjecture,
( leq(n0,esk24_0)
| ~ leq(esk26_0,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( leq(esk25_0,n3)
| a_select2(s_values7_init,esk26_0) != init ),
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_33,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_41,negated_conjecture,
( leq(esk26_0,n3)
| leq(n0,esk25_0)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_42,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk25_0)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_43,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_44,negated_conjecture,
( leq(n0,esk25_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select2(s_values7_init,esk26_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_6]),c_0_11])]) ).
cnf(c_0_45,negated_conjecture,
( ~ leq(esk26_0,n3)
| ~ leq(n0,esk26_0)
| ~ leq(esk25_0,n3)
| ~ leq(n0,esk25_0)
| ~ leq(n0,esk24_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_46,negated_conjecture,
leq(n0,esk24_0),
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_38,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]),c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( leq(esk25_0,n3)
| ~ leq(esk26_0,n3)
| ~ leq(n0,esk26_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_28]) ).
cnf(c_0_48,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( leq(n0,esk25_0)
| leq(n0,esk26_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n2)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_51,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n3)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_52,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( leq(n0,esk25_0)
| a_select2(s_values7_init,esk26_0) != init ),
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_44,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_54,negated_conjecture,
( ~ leq(esk26_0,n3)
| ~ leq(n0,esk26_0)
| ~ leq(n0,esk25_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]),c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( leq(esk26_0,n3)
| leq(n0,esk25_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_6]),c_0_11])]) ).
cnf(c_0_56,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk25_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_6]),c_0_11])]) ).
cnf(c_0_57,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,n2)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( leq(esk26_0,n3)
| leq(esk25_0,n3)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_60,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_6]),c_0_11])]) ).
cnf(c_0_61,negated_conjecture,
( ~ leq(esk26_0,n3)
| ~ leq(n0,esk26_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_28]),c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( leq(n0,esk25_0)
| leq(esk26_0,n3) ),
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_55,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_63,negated_conjecture,
( leq(n0,esk25_0)
| leq(n0,esk26_0) ),
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_56,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_64,negated_conjecture,
( leq(esk24_0,n2)
| leq(n0,esk26_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_6]),c_0_11])]) ).
cnf(c_0_65,negated_conjecture,
( leq(esk25_0,n3)
| leq(n0,esk26_0)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_6]),c_0_11])]) ).
cnf(c_0_66,negated_conjecture,
( leq(esk26_0,n3)
| leq(esk24_0,n2)
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_67,negated_conjecture,
( leq(esk26_0,n3)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| $false
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_68,negated_conjecture,
( leq(esk25_0,n3)
| leq(esk26_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(simplex7_init,esk25_0,esk24_0) != init ),
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_60,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_70,negated_conjecture,
leq(n0,esk25_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_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_64,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_72,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk25_0,n3) ),
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_65,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_73,negated_conjecture,
( leq(esk24_0,n2)
| leq(esk26_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( leq(esk26_0,n3)
| a_select3(simplex7_init,esk25_0,esk24_0) != init
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| ~ leq(n0,pv9)
| ~ leq(pv9,minus(n410,n1)) ),
inference(cn,[status(thm)],[c_0_67]) ).
cnf(c_0_75,negated_conjecture,
( leq(esk26_0,n3)
| leq(esk25_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_6]),c_0_11])]) ).
cnf(c_0_76,negated_conjecture,
leq(n0,esk26_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_36]),c_0_70]),c_0_46])]),c_0_71]),c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( leq(esk26_0,n3)
| leq(esk24_0,n2)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_6]),c_0_11])]) ).
cnf(c_0_78,negated_conjecture,
( leq(esk26_0,n3)
| a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
| a_select3(simplex7_init,esk25_0,esk24_0) != init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_6]),c_0_11])]) ).
cnf(c_0_79,negated_conjecture,
( leq(esk25_0,n3)
| leq(esk26_0,n3) ),
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_75,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_80,negated_conjecture,
~ leq(esk26_0,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_76])]) ).
cnf(c_0_81,negated_conjecture,
( leq(esk24_0,n2)
| leq(esk26_0,n3) ),
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_77,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_82,negated_conjecture,
( leq(esk26_0,n3)
| a_select3(simplex7_init,esk25_0,esk24_0) != init ),
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_78,c_0_18]),c_0_19]),c_0_20]),c_0_11]),c_0_6])]) ).
cnf(c_0_83,negated_conjecture,
leq(esk25_0,n3),
inference(sr,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
leq(esk24_0,n2),
inference(sr,[status(thm)],[c_0_81,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
$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_82,c_0_36]),c_0_83]),c_0_84]),c_0_70]),c_0_46])]),c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV031+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
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:54:30 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 2.14/1.95 % Version : CSE_E---1.7
% 2.14/1.95 % Problem : theBenchmark.p
% 2.14/1.95 % SZS status Theorem for theBenchmark.p
% 2.14/1.95 % SZS output start CNFRefutation
% See solution above
% 2.14/1.95 % Total time : 1.376s
%------------------------------------------------------------------------------