%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG092+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : Mon Jul 18 20:26:53 EDT 2022
% Result : Theorem 0.17s 1.35s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 8 unt; 0 def)
% Number of atoms : 318 ( 26 equ)
% Maximal formula atoms : 53 ( 6 avg)
% Number of connectives : 440 ( 174 ~; 188 |; 64 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-4 aty)
% Number of variables : 102 ( 10 sgn 40 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( aElementOf0(X1,sdtpldt1(xI,xJ))
& aElementOf0(X2,sdtpldt1(xI,xJ))
& aElement0(X3) )
=> ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& X1 = sdtpldt0(X4,X5)
& ? [X6,X7] :
( aElementOf0(X6,xI)
& aElementOf0(X7,xJ)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(sdtpldt0(X4,X6),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtasdt0(X3,X5),xJ)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefIdeal) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(m__870,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__870) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB) ).
fof(mDefSSum,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSSum) ).
fof(c_0_6,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( aElementOf0(X1,sdtpldt1(xI,xJ))
& aElementOf0(X2,sdtpldt1(xI,xJ))
& aElement0(X3) )
=> ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& X1 = sdtpldt0(X4,X5)
& ? [X6,X7] :
( aElementOf0(X6,xI)
& aElementOf0(X7,xJ)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(sdtpldt0(X4,X6),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtasdt0(X3,X5),xJ)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,plain,
! [X4,X5,X6,X7,X4] :
( ( aSet0(X4)
| ~ aIdeal0(X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( aElementOf0(esk5_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk7_1(X4))
| aElementOf0(esk6_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk7_1(X4),esk5_1(X4)),X4)
| aElementOf0(esk6_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk7_1(X4))
| ~ aElementOf0(sdtpldt0(esk5_1(X4),esk6_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk7_1(X4),esk5_1(X4)),X4)
| ~ aElementOf0(sdtpldt0(esk5_1(X4),esk6_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) ) ),
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)],[mDefIdeal])])])])])])]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).
fof(c_0_9,negated_conjecture,
! [X8,X9,X10] :
( ( aElementOf0(esk1_3(X8,X9,X10),xI)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(esk2_3(X8,X9,X10),xJ)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( X8 = sdtpldt0(esk1_3(X8,X9,X10),esk2_3(X8,X9,X10))
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(esk3_3(X8,X9,X10),xI)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(esk4_3(X8,X9,X10),xJ)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( X9 = sdtpldt0(esk3_3(X8,X9,X10),esk4_3(X8,X9,X10))
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(sdtpldt0(esk1_3(X8,X9,X10),esk3_3(X8,X9,X10)),xI)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(sdtpldt0(esk2_3(X8,X9,X10),esk4_3(X8,X9,X10)),xJ)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(sdtasdt0(X10,esk1_3(X8,X9,X10)),xI)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(sdtasdt0(X10,esk2_3(X8,X9,X10)),xJ)
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( sdtpldt0(X8,X9) = sdtpldt0(sdtpldt0(esk1_3(X8,X9,X10),esk3_3(X8,X9,X10)),sdtpldt0(esk2_3(X8,X9,X10),esk4_3(X8,X9,X10)))
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(sdtpldt0(X8,X9),sdtpldt1(xI,xJ))
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ( aElementOf0(sdtasdt0(X10,X8),sdtpldt1(xI,xJ))
| ~ aElementOf0(X8,sdtpldt1(xI,xJ))
| ~ aElementOf0(X9,sdtpldt1(xI,xJ))
| ~ aElement0(X10) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
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_6])])])])])])]) ).
cnf(c_0_10,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__870]) ).
cnf(c_0_12,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[m__870]) ).
fof(c_0_13,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_14,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(esk1_3(X3,X2,X1),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(esk2_3(X3,X2,X1),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_19,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( X3 = sdtpldt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,negated_conjecture,
( aElement0(esk1_3(X1,X2,X3))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_22,negated_conjecture,
( aElement0(esk2_3(X1,X2,X3))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_17]),c_0_18])]) ).
cnf(c_0_23,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_24,plain,
( aIdeal0(X1)
| aElementOf0(esk5_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( aElement0(esk5_1(sdtpldt1(xI,xJ)))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElement0(X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
fof(c_0_27,plain,
! [X7,X8,X9,X10,X10,X13,X14,X9,X16,X17] :
( ( aSet0(X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk8_4(X7,X8,X9,X10),X7)
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk9_4(X7,X8,X9,X10),X8)
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( sdtpldt0(esk8_4(X7,X8,X9,X10),esk9_4(X7,X8,X9,X10)) = X10
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( ~ aElementOf0(X13,X7)
| ~ aElementOf0(X14,X8)
| sdtpldt0(X13,X14) != X10
| aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( ~ aElementOf0(esk10_3(X7,X8,X9),X9)
| ~ aElementOf0(X16,X7)
| ~ aElementOf0(X17,X8)
| sdtpldt0(X16,X17) != esk10_3(X7,X8,X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk11_3(X7,X8,X9),X7)
| aElementOf0(esk10_3(X7,X8,X9),X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk12_3(X7,X8,X9),X8)
| aElementOf0(esk10_3(X7,X8,X9),X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( sdtpldt0(esk11_3(X7,X8,X9),esk12_3(X7,X8,X9)) = esk10_3(X7,X8,X9)
| aElementOf0(esk10_3(X7,X8,X9),X9)
| ~ aSet0(X9)
| X9 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) ) ),
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)],[mDefSSum])])])])])])]) ).
cnf(c_0_28,negated_conjecture,
( aElement0(esk5_1(sdtpldt1(xI,xJ)))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_25]) ).
cnf(c_0_29,plain,
( aIdeal0(X1)
| aElement0(esk5_1(X1))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_30,plain,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( aIdeal0(X1)
| aElement0(esk5_1(sdtpldt1(xI,xJ)))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( aSet0(sdtpldt1(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( aIdeal0(X1)
| aElement0(esk5_1(sdtpldt1(xI,xJ)))
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_16]),c_0_18])]) ).
cnf(c_0_34,negated_conjecture,
( aIdeal0(sdtpldt1(X1,X2))
| aElement0(esk5_1(sdtpldt1(xI,xJ)))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_35,hypothesis,
( aIdeal0(sdtpldt1(xI,X1))
| aElement0(esk5_1(sdtpldt1(xI,xJ)))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_36,negated_conjecture,
( aElementOf0(sdtpldt0(X3,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,hypothesis,
aElement0(esk5_1(sdtpldt1(xI,xJ))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_25]) ).
cnf(c_0_38,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk5_1(X1),esk6_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk7_1(X1),esk5_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
( aIdeal0(X1)
| aElement0(esk7_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk5_1(X1),esk6_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_41,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk7_1(sdtpldt1(xI,xJ)),esk5_1(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk5_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk6_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25]) ).
cnf(c_0_42,plain,
( aIdeal0(X1)
| aElementOf0(esk6_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk7_1(X1),esk5_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_43,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X3),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( aElement0(esk7_1(sdtpldt1(xI,xJ)))
| ~ aElementOf0(esk5_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk6_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_25]) ).
cnf(c_0_45,plain,
( aIdeal0(X1)
| aElementOf0(esk6_1(X1),X1)
| aElement0(esk7_1(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk7_1(sdtpldt1(xI,xJ)),esk5_1(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk5_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_25]) ).
cnf(c_0_47,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( aElement0(esk7_1(sdtpldt1(xI,xJ)))
| ~ aElementOf0(esk5_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_25]) ).
cnf(c_0_49,negated_conjecture,
( ~ aElementOf0(esk5_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_50,negated_conjecture,
~ aSet0(sdtpldt1(xI,xJ)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_24]),c_0_25]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_16]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : RNG092+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.10 % Command : run_ET %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Mon May 30 06:46:12 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.17/1.35 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.17/1.35 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.17/1.35 # Preprocessing time : 0.017 s
% 0.17/1.35
% 0.17/1.35 # Proof found!
% 0.17/1.35 # SZS status Theorem
% 0.17/1.35 # SZS output start CNFRefutation
% See solution above
% 0.17/1.35 # Proof object total steps : 52
% 0.17/1.35 # Proof object clause steps : 40
% 0.17/1.35 # Proof object formula steps : 12
% 0.17/1.35 # Proof object conjectures : 26
% 0.17/1.35 # Proof object clause conjectures : 23
% 0.17/1.35 # Proof object formula conjectures : 3
% 0.17/1.35 # Proof object initial clauses used : 17
% 0.17/1.35 # Proof object initial formulas used : 6
% 0.17/1.35 # Proof object generating inferences : 23
% 0.17/1.35 # Proof object simplifying inferences : 22
% 0.17/1.35 # Training examples: 0 positive, 0 negative
% 0.17/1.35 # Parsed axioms : 26
% 0.17/1.35 # Removed by relevancy pruning/SinE : 11
% 0.17/1.35 # Initial clauses : 48
% 0.17/1.35 # Removed in clause preprocessing : 2
% 0.17/1.35 # Initial clauses in saturation : 46
% 0.17/1.35 # Processed clauses : 445
% 0.17/1.35 # ...of these trivial : 0
% 0.17/1.35 # ...subsumed : 252
% 0.17/1.35 # ...remaining for further processing : 193
% 0.17/1.35 # Other redundant clauses eliminated : 3
% 0.17/1.35 # Clauses deleted for lack of memory : 0
% 0.17/1.35 # Backward-subsumed : 38
% 0.17/1.35 # Backward-rewritten : 7
% 0.17/1.35 # Generated clauses : 3376
% 0.17/1.35 # ...of the previous two non-trivial : 3330
% 0.17/1.35 # Contextual simplify-reflections : 426
% 0.17/1.35 # Paramodulations : 3367
% 0.17/1.35 # Factorizations : 0
% 0.17/1.35 # Equation resolutions : 9
% 0.17/1.35 # Current number of processed clauses : 148
% 0.17/1.35 # Positive orientable unit clauses : 5
% 0.17/1.35 # Positive unorientable unit clauses: 0
% 0.17/1.35 # Negative unit clauses : 2
% 0.17/1.35 # Non-unit-clauses : 141
% 0.17/1.35 # Current number of unprocessed clauses: 2632
% 0.17/1.35 # ...number of literals in the above : 18993
% 0.17/1.35 # Current number of archived formulas : 0
% 0.17/1.35 # Current number of archived clauses : 45
% 0.17/1.35 # Clause-clause subsumption calls (NU) : 13550
% 0.17/1.35 # Rec. Clause-clause subsumption calls : 3112
% 0.17/1.35 # Non-unit clause-clause subsumptions : 714
% 0.17/1.35 # Unit Clause-clause subsumption calls : 77
% 0.17/1.35 # Rewrite failures with RHS unbound : 0
% 0.17/1.35 # BW rewrite match attempts : 1
% 0.17/1.35 # BW rewrite match successes : 1
% 0.17/1.35 # Condensation attempts : 0
% 0.17/1.35 # Condensation successes : 0
% 0.17/1.35 # Termbank termtop insertions : 82558
% 0.17/1.35
% 0.17/1.35 # -------------------------------------------------
% 0.17/1.35 # User time : 0.350 s
% 0.17/1.35 # System time : 0.004 s
% 0.17/1.35 # Total time : 0.354 s
% 0.17/1.35 # Maximum resident set size: 6764 pages
% 0.17/23.35 eprover: CPU time limit exceeded, terminating
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: CPU time limit exceeded, terminating
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.39 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.peprover: No such file or directory
% 0.17/23.39
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: eprover: No such file or directory
% 0.17/23.39 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.ineprover:
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.41 eprover: eprover: No such file or directory
% 0.17/23.41 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.42 eprover: No such file or directory
% 0.17/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.42 eprover: No such file or directory
% 0.17/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.42 eprover: No such file or directory
% 0.17/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.43 eprover: No such file or directory
%------------------------------------------------------------------------------