%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 : 600s
% DateTime : Wed Jul 20 18:15:01 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 40 unt; 0 def)
% Number of atoms : 279 ( 100 equ)
% Maximal formula atoms : 73 ( 3 avg)
% Number of connectives : 347 ( 143 ~; 150 |; 44 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 16 con; 0-3 aty)
% Number of variables : 43 ( 2 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0031,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(X14,minus(pv12,n1)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X18,n0),a_select2(x,pv10)),minus(a_select3(center,X18,n0),a_select2(x,pv10)))))) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(X4,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(X21,minus(pv12,n1)) )
=> a_select3(q,pv10,X21) = divide(sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X22,n0),a_select2(x,pv10)),minus(a_select3(center,X22,n0),a_select2(x,pv10)))))) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(X28,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cl5_nebula_norm_0031) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_4) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_5) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(c_0_9,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(X14,minus(pv12,n1)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X18,n0),a_select2(x,pv10)),minus(a_select3(center,X18,n0),a_select2(x,pv10)))))) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(X4,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(X21,minus(pv12,n1)) )
=> a_select3(q,pv10,X21) = divide(sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X22,n0),a_select2(x,pv10)),minus(a_select3(center,X22,n0),a_select2(x,pv10)))))) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(X28,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 ) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0031]) ).
fof(c_0_10,negated_conjecture,
! [X30,X31,X32,X33] :
( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ( ~ leq(n0,X30)
| ~ leq(X30,minus(pv12,n1))
| a_select3(q,pv10,X30) = divide(sqrt(times(minus(a_select3(center,X30,n0),a_select2(x,pv10)),minus(a_select3(center,X30,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X31,n0),a_select2(x,pv10)),minus(a_select3(center,X31,n0),a_select2(x,pv10)))))) )
& ( ~ leq(n0,X32)
| ~ leq(X32,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X32,X33)) = n1 )
& ( leq(n0,esk3_0)
| leq(n0,esk1_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk3_0,minus(pv10,n1))
| leq(n0,esk1_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| leq(n0,esk1_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk3_0,minus(pv10,n1))
| leq(esk1_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| leq(esk1_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk3_0)
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk3_0,minus(pv10,n1))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
fof(c_0_11,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_12,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_13,negated_conjecture,
( ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10))))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
leq(n0,pv12),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_17,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_18,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_19,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_22,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
leq(pv12,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( leq(n0,esk1_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c_0_29,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_30,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_31,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),c_0_23])]) ).
cnf(c_0_33,negated_conjecture,
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10))))))
| ~ leq(X1,minus(pv12,n1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_35,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_36,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_19]),c_0_27]) ).
cnf(c_0_37,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_28,c_0_19]) ).
fof(c_0_38,plain,
! [X24] : sum(n0,tptp_minus_1,X24) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_39,negated_conjecture,
( leq(n0,esk3_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_41,plain,
plus(n1,plus(n1,plus(n1,plus(n1,n0)))) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_43,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_46,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(n0,esk3_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_47,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_48,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,negated_conjecture,
( leq(n0,esk3_0)
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_50,plain,
plus(n4,n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_41]) ).
cnf(c_0_51,negated_conjecture,
sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_52,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_53,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_54,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(n0,esk3_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_55,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(n0,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_56,negated_conjecture,
( leq(n0,esk3_0)
| leq(n0,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_57,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58,negated_conjecture,
( leq(n0,esk3_0)
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_43]),c_0_44])]) ).
cnf(c_0_59,plain,
minus(n5,n1) = n4,
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_60,negated_conjecture,
( ~ leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,esk3_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_43]),c_0_44])]) ).
cnf(c_0_62,negated_conjecture,
( leq(esk1_0,minus(pv12,n1))
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_43]),c_0_44])]) ).
cnf(c_0_63,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(n0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_43]),c_0_44])]) ).
cnf(c_0_64,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_43]),c_0_44])]) ).
cnf(c_0_65,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_14]),c_0_15]),c_0_22]),c_0_23])]) ).
cnf(c_0_66,negated_conjecture,
( leq(n0,esk3_0)
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
| ~ leq(X1,minus(pv12,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_33,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
leq(esk1_0,minus(pv12,n1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_69,negated_conjecture,
leq(n0,esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_43]),c_0_44])]) ).
cnf(c_0_71,negated_conjecture,
leq(n0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69])]) ).
cnf(c_0_72,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk2_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0) ),
inference(rw,[status(thm)],[c_0_70,c_0_59]) ).
cnf(c_0_73,negated_conjecture,
~ leq(esk3_0,minus(pv10,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_71])]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_68]),c_0_69])]),c_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 07:02:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.027 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 75
% 0.23/1.41 # Proof object clause steps : 59
% 0.23/1.41 # Proof object formula steps : 16
% 0.23/1.41 # Proof object conjectures : 45
% 0.23/1.41 # Proof object clause conjectures : 42
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 23
% 0.23/1.41 # Proof object initial formulas used : 9
% 0.23/1.41 # Proof object generating inferences : 8
% 0.23/1.41 # Proof object simplifying inferences : 106
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 92
% 0.23/1.41 # Removed by relevancy pruning/SinE : 23
% 0.23/1.41 # Initial clauses : 86
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 84
% 0.23/1.41 # Processed clauses : 723
% 0.23/1.41 # ...of these trivial : 34
% 0.23/1.41 # ...subsumed : 242
% 0.23/1.41 # ...remaining for further processing : 446
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 27
% 0.23/1.41 # Backward-rewritten : 59
% 0.23/1.41 # Generated clauses : 2254
% 0.23/1.41 # ...of the previous two non-trivial : 1764
% 0.23/1.41 # Contextual simplify-reflections : 57
% 0.23/1.41 # Paramodulations : 2249
% 0.23/1.41 # Factorizations : 5
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 360
% 0.23/1.41 # Positive orientable unit clauses : 104
% 0.23/1.41 # Positive unorientable unit clauses: 3
% 0.23/1.41 # Negative unit clauses : 64
% 0.23/1.41 # Non-unit-clauses : 189
% 0.23/1.41 # Current number of unprocessed clauses: 865
% 0.23/1.41 # ...number of literals in the above : 2895
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 88
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 18763
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 8787
% 0.23/1.41 # Non-unit clause-clause subsumptions : 185
% 0.23/1.41 # Unit Clause-clause subsumption calls : 2812
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 39
% 0.23/1.41 # BW rewrite match successes : 37
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 24915
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.207 s
% 0.23/1.41 # System time : 0.006 s
% 0.23/1.41 # Total time : 0.213 s
% 0.23/1.41 # Maximum resident set size: 4820 pages
%------------------------------------------------------------------------------