TSTP Solution File: RNG105+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG105+1 : 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 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 102 ( 22 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 120 ( 51 ~; 48 |; 16 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 32 ( 2 sgn 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
& aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefPrIdeal) ).
fof(m__2010,hypothesis,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2010) ).
fof(m__1905,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1905) ).
fof(m__2043,hypothesis,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2043) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB) ).
fof(m__1979,hypothesis,
( aElement0(xv)
& sdtasdt0(xc,xv) = xy ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1979) ).
fof(m__1956,hypothesis,
( aElement0(xu)
& sdtasdt0(xc,xu) = xx ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1956) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB_02) ).
fof(m__1933,hypothesis,
( aElementOf0(xx,slsdtgt0(xc))
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1933) ).
fof(c_0_10,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
& aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_11,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( aSet0(X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( sdtasdt0(X5,esk1_3(X5,X6,X7)) = X7
| ~ aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( ~ aElement0(X9)
| sdtasdt0(X5,X9) != X7
| aElementOf0(X7,X6)
| X6 != slsdtgt0(X5)
| ~ aElement0(X5) )
& ( ~ aElementOf0(esk2_2(X5,X6),X6)
| ~ aElement0(X11)
| sdtasdt0(X5,X11) != esk2_2(X5,X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) )
& ( aElement0(esk3_2(X5,X6))
| aElementOf0(esk2_2(X5,X6),X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) )
& ( sdtasdt0(X5,esk3_2(X5,X6)) = esk2_2(X5,X6)
| aElementOf0(esk2_2(X5,X6),X6)
| ~ aSet0(X6)
| X6 = slsdtgt0(X5)
| ~ aElement0(X5) ) ),
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)],[mDefPrIdeal])])])])])])]) ).
fof(c_0_12,negated_conjecture,
( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( aElementOf0(X3,X2)
| ~ aElement0(X1)
| X2 != slsdtgt0(X1)
| sdtasdt0(X1,X4) != X3
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,hypothesis,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(split_conjunct,[status(thm)],[m__2010]) ).
cnf(c_0_16,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| X3 != slsdtgt0(X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xc,sdtpldt0(xu,xv)),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_19,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__1905]) ).
cnf(c_0_20,hypothesis,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(split_conjunct,[status(thm)],[m__2043]) ).
cnf(c_0_21,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,hypothesis,
( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_19])]) ).
fof(c_0_23,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_24,negated_conjecture,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,hypothesis,
aElement0(xv),
inference(split_conjunct,[status(thm)],[m__1979]) ).
cnf(c_0_27,hypothesis,
aElement0(xu),
inference(split_conjunct,[status(thm)],[m__1956]) ).
fof(c_0_28,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_29,negated_conjecture,
~ aElement0(sdtasdt0(xu,xz)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_30,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,hypothesis,
aElement0(xz),
inference(split_conjunct,[status(thm)],[m__1933]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG105+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 15:05:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.016 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 33
% 0.23/1.42 # Proof object clause steps : 18
% 0.23/1.42 # Proof object formula steps : 15
% 0.23/1.42 # Proof object conjectures : 9
% 0.23/1.42 # Proof object clause conjectures : 6
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 10
% 0.23/1.42 # Proof object initial formulas used : 10
% 0.23/1.42 # Proof object generating inferences : 7
% 0.23/1.42 # Proof object simplifying inferences : 11
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 44
% 0.23/1.42 # Removed by relevancy pruning/SinE : 24
% 0.23/1.42 # Initial clauses : 41
% 0.23/1.42 # Removed in clause preprocessing : 2
% 0.23/1.42 # Initial clauses in saturation : 39
% 0.23/1.42 # Processed clauses : 144
% 0.23/1.42 # ...of these trivial : 9
% 0.23/1.42 # ...subsumed : 24
% 0.23/1.42 # ...remaining for further processing : 111
% 0.23/1.42 # Other redundant clauses eliminated : 1
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 2
% 0.23/1.42 # Backward-rewritten : 3
% 0.23/1.42 # Generated clauses : 341
% 0.23/1.42 # ...of the previous two non-trivial : 327
% 0.23/1.42 # Contextual simplify-reflections : 1
% 0.23/1.42 # Paramodulations : 332
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 9
% 0.23/1.42 # Current number of processed clauses : 106
% 0.23/1.42 # Positive orientable unit clauses : 28
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 1
% 0.23/1.42 # Non-unit-clauses : 77
% 0.23/1.42 # Current number of unprocessed clauses: 218
% 0.23/1.42 # ...number of literals in the above : 831
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 5
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 480
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 399
% 0.23/1.42 # Non-unit clause-clause subsumptions : 27
% 0.23/1.42 # Unit Clause-clause subsumption calls : 51
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 6
% 0.23/1.42 # BW rewrite match successes : 3
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 8846
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.027 s
% 0.23/1.42 # System time : 0.002 s
% 0.23/1.42 # Total time : 0.029 s
% 0.23/1.42 # Maximum resident set size: 3336 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------