TSTP Solution File: SYN986+1.001 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 : Thu Jul 21 06:06:48 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 7 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 3 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ck,conjecture,
? [X4,X5] :
( r(zero,zero,X4)
& r(zero,X4,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ck) ).
fof(hyp1,axiom,
! [X1] : r(X1,zero,succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax',hyp1) ).
fof(hyp2,axiom,
! [X1,X2,X3,X4] :
( r(X1,X2,X3)
=> ( r(X3,X2,X4)
=> r(X1,succ(X2),X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax',hyp2) ).
fof(c_0_3,negated_conjecture,
~ ? [X4,X5] :
( r(zero,zero,X4)
& r(zero,X4,X5) ),
inference(assume_negation,[status(cth)],[ck]) ).
fof(c_0_4,negated_conjecture,
! [X6,X7] :
( ~ r(zero,zero,X6)
| ~ r(zero,X6,X7) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X2] : r(X2,zero,succ(X2)),
inference(variable_rename,[status(thm)],[hyp1]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8] :
( ~ r(X5,X6,X7)
| ~ r(X7,X6,X8)
| r(X5,succ(X6),X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[hyp2])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ r(zero,X1,X2)
| ~ r(zero,zero,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
r(X1,zero,succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( r(X1,succ(X2),X3)
| ~ r(X4,X2,X3)
| ~ r(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ r(zero,succ(zero),X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( r(X1,succ(zero),succ(X2))
| ~ r(X1,zero,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ r(zero,zero,X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_12,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n008.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 Jul 11 23:24:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.013 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 14
% 0.25/1.42 # Proof object clause steps : 7
% 0.25/1.42 # Proof object formula steps : 7
% 0.25/1.42 # Proof object conjectures : 7
% 0.25/1.42 # Proof object clause conjectures : 4
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 3
% 0.25/1.42 # Proof object initial formulas used : 3
% 0.25/1.42 # Proof object generating inferences : 4
% 0.25/1.42 # Proof object simplifying inferences : 0
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 3
% 0.25/1.42 # Removed by relevancy pruning/SinE : 0
% 0.25/1.42 # Initial clauses : 3
% 0.25/1.42 # Removed in clause preprocessing : 0
% 0.25/1.42 # Initial clauses in saturation : 3
% 0.25/1.42 # Processed clauses : 6
% 0.25/1.42 # ...of these trivial : 0
% 0.25/1.42 # ...subsumed : 0
% 0.25/1.42 # ...remaining for further processing : 6
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 0
% 0.25/1.42 # Backward-rewritten : 0
% 0.25/1.42 # Generated clauses : 5
% 0.25/1.42 # ...of the previous two non-trivial : 4
% 0.25/1.42 # Contextual simplify-reflections : 0
% 0.25/1.42 # Paramodulations : 5
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 0
% 0.25/1.42 # Current number of processed clauses : 6
% 0.25/1.42 # Positive orientable unit clauses : 1
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 2
% 0.25/1.42 # Non-unit-clauses : 3
% 0.25/1.42 # Current number of unprocessed clauses: 1
% 0.25/1.42 # ...number of literals in the above : 3
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 0
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 0
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 0
% 0.25/1.42 # Non-unit clause-clause subsumptions : 0
% 0.25/1.42 # Unit Clause-clause subsumption calls : 3
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 1
% 0.25/1.42 # BW rewrite match successes : 0
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 275
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.012 s
% 0.25/1.42 # System time : 0.002 s
% 0.25/1.42 # Total time : 0.014 s
% 0.25/1.42 # Maximum resident set size: 2796 pages
%------------------------------------------------------------------------------