TSTP Solution File: RNG106+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG106+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 20:26:56 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 368 ( 95 equ)
% Maximal formula atoms : 258 ( 13 avg)
% Number of connectives : 567 ( 226 ~; 230 |; 94 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 58 ( 3 sgn 30 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
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(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(m__1905,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1905) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,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_6,negated_conjecture,
! [X7,X8,X9,X10,X11,X16,X16,X18] :
( ( aElement0(esk1_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk1_3(X7,X8,X9)) = X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk2_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk2_3(X7,X8,X9)) = X8
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk1_3(X7,X8,X9),esk2_3(X7,X8,X9)))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk1_3(X7,X8,X9),X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk3_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk3_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk4_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk4_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk1_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk1_3(X7,X8,X9)) = X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk2_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk2_3(X7,X8,X9)) = X8
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk1_3(X7,X8,X9),esk2_3(X7,X8,X9)))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk1_3(X7,X8,X9),X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk3_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk3_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk4_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk4_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X9) )
& ( aElement0(esk1_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk1_3(X7,X8,X9)) = X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk2_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk2_3(X7,X8,X9)) = X8
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk1_3(X7,X8,X9),esk2_3(X7,X8,X9)))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk1_3(X7,X8,X9),X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk3_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk3_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk4_3(X7,X8,X9))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk4_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk1_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk1_3(X7,X8,X9)) = X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk2_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk2_3(X7,X8,X9)) = X8
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk1_3(X7,X8,X9),esk2_3(X7,X8,X9)))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk1_3(X7,X8,X9),X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk3_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk3_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk4_3(X7,X8,X9))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk4_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X9) )
& aSet0(slsdtgt0(xc))
& ( aElement0(esk5_1(X16))
| ~ aElementOf0(X16,slsdtgt0(xc)) )
& ( sdtasdt0(xc,esk5_1(X16)) = X16
| ~ aElementOf0(X16,slsdtgt0(xc)) )
& ( ~ aElement0(X18)
| sdtasdt0(xc,X18) != X16
| aElementOf0(X16,slsdtgt0(xc)) )
& aElementOf0(esk6_0,slsdtgt0(xc))
& ( aElement0(esk8_0)
| aElementOf0(esk7_0,slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc))
| aElementOf0(esk7_0,slsdtgt0(xc)) )
& ( aElement0(esk8_0)
| ~ aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc)) )
& ~ aIdeal0(slsdtgt0(xc)) ),
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_4])])])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_8,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
aElementOf0(esk6_0,slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
aSet0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( aElementOf0(esk7_0,slsdtgt0(xc))
| aElement0(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(sdtpldt0(X2,X3),slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__1905]) ).
cnf(c_0_14,negated_conjecture,
( aElement0(esk8_0)
| ~ aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
aElement0(esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
( aElement0(esk8_0)
| aElement0(esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_11]),c_0_10])]) ).
cnf(c_0_18,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(esk7_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( aElement0(esk8_0)
| ~ aElementOf0(sdtpldt0(esk7_0,esk6_0),slsdtgt0(xc)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_9])]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_9]) ).
cnf(c_0_25,negated_conjecture,
aElement0(esk8_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_9])]),c_0_11]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_9]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG106+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 07:31:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.046 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 27
% 0.24/1.42 # Proof object clause steps : 19
% 0.24/1.42 # Proof object formula steps : 8
% 0.24/1.42 # Proof object conjectures : 18
% 0.24/1.42 # Proof object clause conjectures : 15
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 11
% 0.24/1.42 # Proof object initial formulas used : 4
% 0.24/1.42 # Proof object generating inferences : 8
% 0.24/1.42 # Proof object simplifying inferences : 16
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 39
% 0.24/1.42 # Removed by relevancy pruning/SinE : 20
% 0.24/1.42 # Initial clauses : 95
% 0.24/1.42 # Removed in clause preprocessing : 2
% 0.24/1.42 # Initial clauses in saturation : 93
% 0.24/1.42 # Processed clauses : 115
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 2
% 0.24/1.42 # ...remaining for further processing : 113
% 0.24/1.42 # Other redundant clauses eliminated : 148
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 5
% 0.24/1.42 # Backward-rewritten : 6
% 0.24/1.42 # Generated clauses : 895
% 0.24/1.42 # ...of the previous two non-trivial : 727
% 0.24/1.42 # Contextual simplify-reflections : 7
% 0.24/1.42 # Paramodulations : 709
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 186
% 0.24/1.42 # Current number of processed clauses : 102
% 0.24/1.42 # Positive orientable unit clauses : 6
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 3
% 0.24/1.42 # Non-unit-clauses : 93
% 0.24/1.42 # Current number of unprocessed clauses: 651
% 0.24/1.42 # ...number of literals in the above : 3982
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 11
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 1706
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 506
% 0.24/1.42 # Non-unit clause-clause subsumptions : 14
% 0.24/1.42 # Unit Clause-clause subsumption calls : 60
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 2
% 0.24/1.42 # BW rewrite match successes : 2
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 20036
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.268 s
% 0.24/1.42 # System time : 0.004 s
% 0.24/1.42 # Total time : 0.272 s
% 0.24/1.42 # Maximum resident set size: 4264 pages
%------------------------------------------------------------------------------