TSTP Solution File: RNG106+2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:15:09 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 398 ( 92 equ)
% Maximal formula atoms : 258 ( 14 avg)
% Number of connectives : 610 ( 240 ~; 248 |; 102 &)
% ( 3 <=>; 17 =>; 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 : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 63 ( 4 sgn; 35 !; 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/tmp/tmp.gsqRtja6u9/E---3.1_18122.p',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/tmp/tmp.gsqRtja6u9/E---3.1_18122.p',mDefIdeal) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.gsqRtja6u9/E---3.1_18122.p',mEOfElem) ).
fof(c_0_3,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_4,plain,
! [X23,X24,X25,X26,X27] :
( ( aSet0(X23)
| ~ aIdeal0(X23) )
& ( ~ aElementOf0(X25,X23)
| aElementOf0(sdtpldt0(X24,X25),X23)
| ~ aElementOf0(X24,X23)
| ~ aIdeal0(X23) )
& ( ~ aElement0(X26)
| aElementOf0(sdtasdt0(X26,X24),X23)
| ~ aElementOf0(X24,X23)
| ~ aIdeal0(X23) )
& ( aElementOf0(esk9_1(X27),X27)
| ~ aSet0(X27)
| aIdeal0(X27) )
& ( aElement0(esk11_1(X27))
| aElementOf0(esk10_1(X27),X27)
| ~ aSet0(X27)
| aIdeal0(X27) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X27),esk9_1(X27)),X27)
| aElementOf0(esk10_1(X27),X27)
| ~ aSet0(X27)
| aIdeal0(X27) )
& ( aElement0(esk11_1(X27))
| ~ aElementOf0(sdtpldt0(esk9_1(X27),esk10_1(X27)),X27)
| ~ aSet0(X27)
| aIdeal0(X27) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X27),esk9_1(X27)),X27)
| ~ aElementOf0(sdtpldt0(esk9_1(X27),esk10_1(X27)),X27)
| ~ aSet0(X27)
| aIdeal0(X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefIdeal])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X7,X8,X9,X10,X11,X16,X18,X19] :
( ( 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(X19)
| sdtasdt0(xc,X19) != X18
| aElementOf0(X18,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(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
cnf(c_0_6,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
aSet0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
~ aIdeal0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( aElementOf0(esk7_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(esk6_0,slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( aElement0(esk8_0)
| aElementOf0(esk7_0,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
aElementOf0(esk7_0,slsdtgt0(xc)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
fof(c_0_17,plain,
! [X41,X42] :
( ~ aSet0(X41)
| ~ aElementOf0(X42,X41)
| aElement0(X42) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_18,negated_conjecture,
( aElementOf0(sdtpldt0(X1,esk7_0),slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
aElement0(esk9_1(slsdtgt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_10]),c_0_7])]) ).
cnf(c_0_22,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( aElement0(esk8_0)
| ~ aElementOf0(sdtpldt0(esk6_0,esk7_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,negated_conjecture,
~ aElementOf0(sdtasdt0(esk8_0,esk6_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
aElement0(esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_12]),c_0_13]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 19:34:44 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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/tmp/tmp.gsqRtja6u9/E---3.1_18122.p
% 0.21/0.53 # Version: 3.1pre001
% 0.21/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # new_bool_3 with pid 18201 completed with status 0
% 0.21/0.53 # Result found by new_bool_3
% 0.21/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGHSF-FFLS32-MFFFFFNN
% 0.21/0.53 # partial match(1): FGHSF-FFMS32-MFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.21/0.53 # G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 18204 completed with status 0
% 0.21/0.53 # Result found by G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGHSF-FFLS32-MFFFFFNN
% 0.21/0.53 # partial match(1): FGHSF-FFMS32-MFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.21/0.53 # Preprocessing time : 0.003 s
% 0.21/0.53 # Presaturation interreduction done
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.21/0.54 # Parsed axioms : 39
% 0.21/0.54 # Removed by relevancy pruning/SinE : 20
% 0.21/0.54 # Initial clauses : 95
% 0.21/0.54 # Removed in clause preprocessing : 2
% 0.21/0.54 # Initial clauses in saturation : 93
% 0.21/0.54 # Processed clauses : 229
% 0.21/0.54 # ...of these trivial : 3
% 0.21/0.54 # ...subsumed : 24
% 0.21/0.54 # ...remaining for further processing : 202
% 0.21/0.54 # Other redundant clauses eliminated : 55
% 0.21/0.54 # Clauses deleted for lack of memory : 0
% 0.21/0.54 # Backward-subsumed : 4
% 0.21/0.54 # Backward-rewritten : 6
% 0.21/0.54 # Generated clauses : 261
% 0.21/0.54 # ...of the previous two non-redundant : 224
% 0.21/0.54 # ...aggressively subsumed : 0
% 0.21/0.54 # Contextual simplify-reflections : 2
% 0.21/0.54 # Paramodulations : 219
% 0.21/0.54 # Factorizations : 0
% 0.21/0.54 # NegExts : 0
% 0.21/0.54 # Equation resolutions : 55
% 0.21/0.54 # Total rewrite steps : 140
% 0.21/0.54 # Propositional unsat checks : 0
% 0.21/0.54 # Propositional check models : 0
% 0.21/0.54 # Propositional check unsatisfiable : 0
% 0.21/0.54 # Propositional clauses : 0
% 0.21/0.54 # Propositional clauses after purity: 0
% 0.21/0.54 # Propositional unsat core size : 0
% 0.21/0.54 # Propositional preprocessing time : 0.000
% 0.21/0.54 # Propositional encoding time : 0.000
% 0.21/0.54 # Propositional solver time : 0.000
% 0.21/0.54 # Success case prop preproc time : 0.000
% 0.21/0.54 # Success case prop encoding time : 0.000
% 0.21/0.54 # Success case prop solver time : 0.000
% 0.21/0.54 # Current number of processed clauses : 58
% 0.21/0.54 # Positive orientable unit clauses : 15
% 0.21/0.54 # Positive unorientable unit clauses: 0
% 0.21/0.54 # Negative unit clauses : 2
% 0.21/0.54 # Non-unit-clauses : 41
% 0.21/0.54 # Current number of unprocessed clauses: 169
% 0.21/0.54 # ...number of literals in the above : 567
% 0.21/0.54 # Current number of archived formulas : 0
% 0.21/0.54 # Current number of archived clauses : 103
% 0.21/0.54 # Clause-clause subsumption calls (NU) : 2753
% 0.21/0.54 # Rec. Clause-clause subsumption calls : 1379
% 0.21/0.54 # Non-unit clause-clause subsumptions : 23
% 0.21/0.54 # Unit Clause-clause subsumption calls : 59
% 0.21/0.54 # Rewrite failures with RHS unbound : 0
% 0.21/0.54 # BW rewrite match attempts : 5
% 0.21/0.54 # BW rewrite match successes : 5
% 0.21/0.54 # Condensation attempts : 0
% 0.21/0.54 # Condensation successes : 0
% 0.21/0.54 # Termbank termtop insertions : 9991
% 0.21/0.54
% 0.21/0.54 # -------------------------------------------------
% 0.21/0.54 # User time : 0.021 s
% 0.21/0.54 # System time : 0.004 s
% 0.21/0.54 # Total time : 0.025 s
% 0.21/0.54 # Maximum resident set size: 2044 pages
% 0.21/0.54
% 0.21/0.54 # -------------------------------------------------
% 0.21/0.54 # User time : 0.024 s
% 0.21/0.54 # System time : 0.006 s
% 0.21/0.54 # Total time : 0.030 s
% 0.21/0.54 # Maximum resident set size: 1736 pages
% 0.21/0.54 % E---3.1 exiting
% 0.21/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------