%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV053+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 02:53:36 PM UTC 2026
% Result : Theorem 1.50s 0.63s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 40 unt; 0 def)
% Number of atoms : 248 ( 82 equ)
% Maximal formula atoms : 73 ( 3 avg)
% Number of connectives : 305 ( 122 ~; 129 |; 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 : 27 ( 27 usr; 18 con; 0-3 aty)
% Number of variables : 38 ( 3 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
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/benchmark/theBenchmark.p',successor_4) ).
fof(cl5_nebula_norm_0031,conjecture,
( ( ! [X4,X20] :
( ( leq(X4,minus(pv10,n1))
& leq(n0,X4) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 )
& ! [X14,X18] :
( ( leq(X14,minus(pv12,n1))
& leq(n0,X14) )
=> 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)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) )
=> ( ! [X28,X29] :
( ( leq(X28,minus(pv10,n1))
& leq(n0,X28) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 )
& ! [X21,X22] :
( ( leq(X21,minus(pv12,n1))
& leq(n0,X21) )
=> 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)))))) )
& 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))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0031) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
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(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
cnf(c_0_10,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_11,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_12,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_13,plain,
succ(n1) = n2,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,plain,
! [X81] : pred(succ(X81)) = X81,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_15,plain,
! [X44] : minus(X44,n1) = pred(X44),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_16,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_17,plain,
succ(n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11]),c_0_13]) ).
fof(c_0_18,negated_conjecture,
~ ( ( ! [X4,X20] :
( ( leq(X4,minus(pv10,n1))
& leq(n0,X4) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 )
& ! [X14,X18] :
( ( leq(X14,minus(pv12,n1))
& leq(n0,X14) )
=> 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)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) )
=> ( ! [X28,X29] :
( ( leq(X28,minus(pv10,n1))
& leq(n0,X28) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 )
& ! [X21,X22] :
( ( leq(X21,minus(pv12,n1))
& leq(n0,X21) )
=> 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)))))) )
& 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(assume_negation,[status(cth)],[cl5_nebula_norm_0031]) ).
cnf(c_0_19,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_22,plain,
succ(n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11]),c_0_13]),c_0_17]) ).
cnf(c_0_23,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_24,negated_conjecture,
! [X30,X31,X32,X33] :
( ( ~ 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 )
& ( ~ 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))))))
| 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))))))
| 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)))))
| leq(esk1_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != 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)))))
| 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)))))
| 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)))))
| leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != 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)))))
| 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)))))
| leq(n0,esk1_0)
| leq(n0,esk3_0) )
& ( sum(n0,minus(n5,n1),a_select3(q,X32,X33)) = n1
| ~ leq(X32,minus(pv10,n1))
| ~ leq(n0,X32) )
& ( 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(X30,minus(pv12,n1))
| ~ leq(n0,X30) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).
cnf(c_0_25,plain,
minus(succ(X1),n1) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
succ(n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11]),c_0_13]),c_0_17]),c_0_22]) ).
cnf(c_0_27,plain,
pred(n0) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
fof(c_0_28,plain,
! [X43] : sum(n0,tptp_minus_1,X43) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_29,negated_conjecture,
leq(pv12,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
minus(n5,n1) = n4,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,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)))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| leq(esk1_0,minus(pv12,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
minus(n0,n1) = tptp_minus_1,
inference(rw,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_33,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
leq(n0,pv12),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,negated_conjecture,
leq(pv12,n4),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1)
| sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_39,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)))))
| leq(esk1_0,minus(pv12,n1))
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_40,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)))))
| leq(esk1_0,minus(pv12,n1))
| leq(esk3_0,minus(pv10,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,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)))))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| leq(n0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_42,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)))))
| leq(n0,esk1_0)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_43,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)))))
| leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_44,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_24]) ).
cnf(c_0_45,negated_conjecture,
( ~ leq(X1,minus(pv12,n1))
| ~ leq(n0,X1)
| 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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_46,negated_conjecture,
( sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1
| leq(esk1_0,minus(pv12,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_47,negated_conjecture,
( ~ leq(n0,X1)
| ~ leq(X1,minus(pv10,n1))
| sum(n0,n4,a_select3(q,X1,X2)) = n1 ),
inference(rw,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_48,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(pv12,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_49,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)],[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_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_50,negated_conjecture,
( sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1
| leq(n0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_30]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_51,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_52,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_53,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))))))
| leq(esk3_0,minus(pv10,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_54,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))))))
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_55,negated_conjecture,
( sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_30]),c_0_32]),c_0_33]),c_0_30]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_56,negated_conjecture,
( ~ leq(n0,X1)
| ~ leq(X1,minus(pv12,n1))
| 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) ),
inference(rw,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_57,negated_conjecture,
leq(esk1_0,minus(pv12,n1)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_58,negated_conjecture,
leq(n0,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_51]),c_0_52]) ).
cnf(c_0_59,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,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)
| leq(esk3_0,minus(pv10,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_32]),c_0_33]),c_0_30]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_60,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,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)
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_32]),c_0_33]),c_0_30]),c_0_34]),c_0_35]),c_0_36]),c_0_30]),c_0_37])]) ).
cnf(c_0_61,negated_conjecture,
sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_62,negated_conjecture,
leq(esk3_0,minus(pv10,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_63,negated_conjecture,
leq(n0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_47]),c_0_62]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV053+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:29:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/0.63 % Version: 3.5.1
% 1.50/0.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.50/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.50/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.50/0.63 % Starting new_bool_3 with 300s (1) cores
% 1.50/0.63 % Starting new_bool_1 with 300s (1) cores
% 1.50/0.63 % Starting sh5l with 300s (1) cores
% 1.50/0.63 % new_bool_1 with pid 2141088 completed with status 0
% 1.50/0.63 % Result found by new_bool_1
% 1.50/0.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.50/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.50/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.50/0.63 % Starting new_bool_3 with 300s (1) cores
% 1.50/0.63 % Starting new_bool_1 with 300s (1) cores
% 1.50/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.50/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.50/0.63 % Search class: FGHSM-FFMM31-DFFFFFNN
% 1.50/0.63 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.50/0.63 % Starting SubtermCWHack with 31s (1) cores
% 1.50/0.63 % SubtermCWHack with pid 2141101 completed with status 0
% 1.50/0.63 % Result found by SubtermCWHack
% 1.50/0.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.50/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.50/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.50/0.63 % Starting new_bool_3 with 300s (1) cores
% 1.50/0.63 % Starting new_bool_1 with 300s (1) cores
% 1.50/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.50/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.50/0.63 % Search class: FGHSM-FFMM31-DFFFFFNN
% 1.50/0.63 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.50/0.63 % Starting SubtermCWHack with 31s (1) cores
% 1.50/0.63 % Preprocessing time : 0.002 s
% 1.50/0.63
% 1.50/0.63 % Proof found!
% 1.50/0.63 % SZS status Theorem
% 1.50/0.63 % SZS output start CNFRefutation
% See solution above
% 1.50/0.63 % Parsed axioms : 92
% 1.50/0.63 % Removed by relevancy pruning/SinE : 23
% 1.50/0.63 % Initial clauses : 86
% 1.50/0.63 % Removed in clause preprocessing : 0
% 1.50/0.63 % Initial clauses in saturation : 86
% 1.50/0.63 % Processed clauses : 3531
% 1.50/0.63 % ...of these trivial : 180
% 1.50/0.63 % ...subsumed : 2340
% 1.50/0.63 % ...remaining for further processing : 1011
% 1.50/0.63 % Other redundant clauses eliminated : 0
% 1.50/0.63 % Clauses deleted for lack of memory : 0
% 1.50/0.63 % Backward-subsumed : 8
% 1.50/0.63 % Backward-rewritten : 95
% 1.50/0.63 % Generated clauses : 14830
% 1.50/0.63 % ...of the previous two non-redundant : 10207
% 1.50/0.63 % ...aggressively subsumed : 0
% 1.50/0.63 % Contextual simplify-reflections : 4
% 1.50/0.63 % Paramodulations : 14828
% 1.50/0.63 % Factorizations : 2
% 1.50/0.63 % NegExts : 0
% 1.50/0.63 % Equation resolutions : 0
% 1.50/0.63 % Disequality decompositions : 0
% 1.50/0.63 % Total rewrite steps : 9748
% 1.50/0.63 % ...of those cached : 9239
% 1.50/0.63 % Propositional unsat checks : 0
% 1.50/0.63 % Propositional check models : 0
% 1.50/0.63 % Propositional check unsatisfiable : 0
% 1.50/0.63 % Propositional clauses : 0
% 1.50/0.63 % Propositional clauses after purity: 0
% 1.50/0.63 % Propositional unsat core size : 0
% 1.50/0.63 % Propositional preprocessing time : 0.000
% 1.50/0.63 % Propositional encoding time : 0.000
% 1.50/0.63 % Propositional solver time : 0.000
% 1.50/0.63 % Success case prop preproc time : 0.000
% 1.50/0.63 % Success case prop encoding time : 0.000
% 1.50/0.63 % Success case prop solver time : 0.000
% 1.50/0.63 % Current number of processed clauses : 908
% 1.50/0.63 % Positive orientable unit clauses : 334
% 1.50/0.63 % Positive unorientable unit clauses: 3
% 1.50/0.63 % Negative unit clauses : 213
% 1.50/0.63 % Non-unit-clauses : 358
% 1.50/0.63 % Current number of unprocessed clauses: 6714
% 1.50/0.63 % ...number of literals in the above : 15883
% 1.50/0.63 % Current number of archived formulas : 0
% 1.50/0.63 % Current number of archived clauses : 103
% 1.50/0.63 % Clause-clause subsumption calls (NU) : 48082
% 1.50/0.63 % Rec. Clause-clause subsumption calls : 46789
% 1.50/0.63 % Non-unit clause-clause subsumptions : 403
% 1.50/0.63 % Unit Clause-clause subsumption calls : 6790
% 1.50/0.63 % Rewrite failures with RHS unbound : 0
% 1.50/0.63 % BW rewrite match attempts : 113
% 1.50/0.63 % BW rewrite match successes : 31
% 1.50/0.63 % Condensation attempts : 0
% 1.50/0.63 % Condensation successes : 0
% 1.50/0.63 % Termbank termtop insertions : 132281
% 1.50/0.63 % Search garbage collected termcells : 842
% 1.50/0.63
% 1.50/0.63 % -------------------------------------------------
% 1.50/0.63 % User time : 0.178 s
% 1.50/0.63 % System time : 0.009 s
% 1.50/0.63 % Total time : 0.187 s
% 1.50/0.63 % Maximum resident set size: 3752 pages
% 1.50/0.63
% 1.50/0.63 % -------------------------------------------------
% 1.50/0.63 % User time : 0.183 s
% 1.50/0.63 % System time : 0.013 s
% 1.50/0.63 % Total time : 0.196 s
% 1.50/0.63 % Maximum resident set size: 4608 pages
% 1.50/0.63 % E exiting
%------------------------------------------------------------------------------