TSTP Solution File: RNG057+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG057+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 20:26:44 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 19 unt; 0 def)
% Number of atoms : 127 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 141 ( 61 ~; 58 |; 14 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLEMonM) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLETot) ).
fof(m__2052,hypothesis,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2052) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLERef) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLETrn) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSqPos) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSZeroSc) ).
fof(m__2027,hypothesis,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2027) ).
fof(m__1967,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1967) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1820) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulSc) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1873) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1800) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1783) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtasdt0(X5,X7),sdtasdt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).
fof(c_0_16,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).
cnf(c_0_18,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,hypothesis,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(split_conjunct,[status(thm)],[m__2052]) ).
fof(c_0_20,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
fof(c_0_22,plain,
! [X4,X5,X6] :
( ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).
fof(c_0_23,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
cnf(c_0_24,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_26,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),xN)
| ~ sdtlseqdt0(X2,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(X1,sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,hypothesis,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(split_conjunct,[status(thm)],[m__2027]) ).
cnf(c_0_28,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(split_conjunct,[status(thm)],[m__1967]) ).
cnf(c_0_29,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,hypothesis,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]),c_0_30]) ).
cnf(c_0_35,plain,
( sdtlseqdt0(X1,sdtasdt0(X2,X2))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(X2,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25])]) ).
cnf(c_0_36,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_37,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
fof(c_0_38,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_39,hypothesis,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_25]),c_0_37])]) ).
cnf(c_0_40,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_41,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_42,hypothesis,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_43,hypothesis,
~ aScalar0(sdtasdt0(xC,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_37])]) ).
cnf(c_0_44,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_45,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_46,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_44]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : RNG057+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 14:50:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 47
% 0.22/1.40 # Proof object clause steps : 24
% 0.22/1.40 # Proof object formula steps : 23
% 0.22/1.40 # Proof object conjectures : 4
% 0.22/1.40 # Proof object clause conjectures : 1
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 15
% 0.22/1.40 # Proof object initial formulas used : 15
% 0.22/1.40 # Proof object generating inferences : 9
% 0.22/1.40 # Proof object simplifying inferences : 17
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 59
% 0.22/1.40 # Removed by relevancy pruning/SinE : 4
% 0.22/1.40 # Initial clauses : 81
% 0.22/1.40 # Removed in clause preprocessing : 5
% 0.22/1.40 # Initial clauses in saturation : 76
% 0.22/1.40 # Processed clauses : 894
% 0.22/1.40 # ...of these trivial : 23
% 0.22/1.40 # ...subsumed : 234
% 0.22/1.40 # ...remaining for further processing : 637
% 0.22/1.40 # Other redundant clauses eliminated : 1
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 10
% 0.22/1.40 # Backward-rewritten : 14
% 0.22/1.40 # Generated clauses : 6039
% 0.22/1.40 # ...of the previous two non-trivial : 5665
% 0.22/1.40 # Contextual simplify-reflections : 44
% 0.22/1.40 # Paramodulations : 6027
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 12
% 0.22/1.40 # Current number of processed clauses : 613
% 0.22/1.40 # Positive orientable unit clauses : 119
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 3
% 0.22/1.40 # Non-unit-clauses : 491
% 0.22/1.40 # Current number of unprocessed clauses: 4745
% 0.22/1.40 # ...number of literals in the above : 23241
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 24
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 44556
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 24832
% 0.22/1.40 # Non-unit clause-clause subsumptions : 280
% 0.22/1.40 # Unit Clause-clause subsumption calls : 1040
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 26
% 0.22/1.40 # BW rewrite match successes : 8
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 136456
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.161 s
% 0.22/1.40 # System time : 0.006 s
% 0.22/1.40 # Total time : 0.167 s
% 0.22/1.40 # Maximum resident set size: 9760 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------