TSTP Solution File: RNG067+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG067+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 20:26:47 EDT 2022
% Result : Theorem 0.17s 1.35s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 81 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 92 ( 44 ~; 34 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mLEMon) ).
fof(m__2004,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2004) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1949) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSumSc) ).
fof(m__2104,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2104) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulSc) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1930) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1892) ).
fof(m__1911,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1911) ).
fof(c_0_10,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_11,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_12,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtpldt0(X5,X7),sdtpldt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).
cnf(c_0_13,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(split_conjunct,[status(thm)],[m__2004]) ).
cnf(c_0_16,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).
cnf(c_0_18,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_19,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(split_conjunct,[status(thm)],[m__2104]) ).
cnf(c_0_20,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_14]),c_0_15]),c_0_19]),c_0_16])]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
fof(c_0_24,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_25,negated_conjecture,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_26,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_27,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_28,negated_conjecture,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_29,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_30,negated_conjecture,
~ aScalar0(sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_29])]) ).
cnf(c_0_31,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : RNG067+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.10 % Command : run_ET %s %d
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Mon May 30 14:58:57 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.17/1.35 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.17/1.35 # Preprocessing time : 0.019 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 : 33
% 0.17/1.35 # Proof object clause steps : 18
% 0.17/1.35 # Proof object formula steps : 15
% 0.17/1.35 # Proof object conjectures : 12
% 0.17/1.35 # Proof object clause conjectures : 9
% 0.17/1.35 # Proof object formula conjectures : 3
% 0.17/1.35 # Proof object initial clauses used : 10
% 0.17/1.35 # Proof object initial formulas used : 10
% 0.17/1.35 # Proof object generating inferences : 8
% 0.17/1.35 # Proof object simplifying inferences : 16
% 0.17/1.35 # Training examples: 0 positive, 0 negative
% 0.17/1.35 # Parsed axioms : 59
% 0.17/1.35 # Removed by relevancy pruning/SinE : 0
% 0.17/1.35 # Initial clauses : 93
% 0.17/1.35 # Removed in clause preprocessing : 5
% 0.17/1.35 # Initial clauses in saturation : 88
% 0.17/1.35 # Processed clauses : 1858
% 0.17/1.35 # ...of these trivial : 153
% 0.17/1.35 # ...subsumed : 700
% 0.17/1.35 # ...remaining for further processing : 1005
% 0.17/1.35 # Other redundant clauses eliminated : 1
% 0.17/1.35 # Clauses deleted for lack of memory : 0
% 0.17/1.35 # Backward-subsumed : 23
% 0.17/1.35 # Backward-rewritten : 39
% 0.17/1.35 # Generated clauses : 47505
% 0.17/1.35 # ...of the previous two non-trivial : 45233
% 0.17/1.35 # Contextual simplify-reflections : 331
% 0.17/1.35 # Paramodulations : 47492
% 0.17/1.35 # Factorizations : 0
% 0.17/1.35 # Equation resolutions : 13
% 0.17/1.35 # Current number of processed clauses : 943
% 0.17/1.35 # Positive orientable unit clauses : 259
% 0.17/1.35 # Positive unorientable unit clauses: 0
% 0.17/1.35 # Negative unit clauses : 5
% 0.17/1.35 # Non-unit-clauses : 679
% 0.17/1.35 # Current number of unprocessed clauses: 42772
% 0.17/1.35 # ...number of literals in the above : 227926
% 0.17/1.35 # Current number of archived formulas : 0
% 0.17/1.35 # Current number of archived clauses : 62
% 0.17/1.35 # Clause-clause subsumption calls (NU) : 112924
% 0.17/1.35 # Rec. Clause-clause subsumption calls : 57046
% 0.17/1.35 # Non-unit clause-clause subsumptions : 1009
% 0.17/1.35 # Unit Clause-clause subsumption calls : 5360
% 0.17/1.35 # Rewrite failures with RHS unbound : 0
% 0.17/1.35 # BW rewrite match attempts : 45
% 0.17/1.35 # BW rewrite match successes : 25
% 0.17/1.35 # Condensation attempts : 0
% 0.17/1.35 # Condensation successes : 0
% 0.17/1.35 # Termbank termtop insertions : 1337772
% 0.17/1.35
% 0.17/1.35 # -------------------------------------------------
% 0.17/1.35 # User time : 0.586 s
% 0.17/1.35 # System time : 0.029 s
% 0.17/1.35 # Total time : 0.615 s
% 0.17/1.35 # Maximum resident set size: 51372 pages
% 0.17/23.34 eprover: CPU time limit exceeded, terminating
% 0.17/23.35 eprover: CPU time limit exceeded, terminating
% 0.17/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.36 eprover: No such file or directory
% 0.17/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.36 eprover: No such file or directory
% 0.17/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.36 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.17/23.37 eprover: No such file or directory
% 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
% 0.17/23.37 eprover: No such file or directory
% 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: 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: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 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
% 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
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 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: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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: No such file or directory
% 0.17/23.39 eprover: 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.in
% 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: No such file or directory
% 0.17/23.39 eprover: 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.in
% 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: No such file or directory
% 0.17/23.39 eprover: 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.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
% 0.17/23.40 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
% 0.17/23.41 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
% 0.17/23.41 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.mepo_128.in
% 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.mepo_128.in
% 0.17/23.42 eprover: No such file or directory
%------------------------------------------------------------------------------