TSTP Solution File: LCL897+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL897+1 : TPTP v8.1.0. Released v5.5.0.
% 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 : Sun Jul 17 10:18:31 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_01,axiom,
! [X1,X2,X3] : '+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_01) ).
fof(sos_02,axiom,
! [X1,X2] : '+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_02) ).
fof(sos_08,axiom,
! [X1,X2] : '+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_08) ).
fof(sos_07,axiom,
! [X1,X2,X3] : '==>'('+'(X1,X2),X3) = '==>'(X1,'==>'(X2,X3)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_07) ).
fof(goals_09,conjecture,
'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) = '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals_09) ).
fof(c_0_5,plain,
! [X4,X5,X6] : '+'('+'(X4,X5),X6) = '+'(X4,'+'(X5,X6)),
inference(variable_rename,[status(thm)],[sos_01]) ).
fof(c_0_6,plain,
! [X3,X4] : '+'(X3,X4) = '+'(X4,X3),
inference(variable_rename,[status(thm)],[sos_02]) ).
fof(c_0_7,plain,
! [X3,X4] : '+'(X3,'==>'(X3,X4)) = '+'(X4,'==>'(X4,X3)),
inference(variable_rename,[status(thm)],[sos_08]) ).
fof(c_0_8,plain,
! [X4,X5,X6] : '==>'('+'(X4,X5),X6) = '==>'(X4,'==>'(X5,X6)),
inference(variable_rename,[status(thm)],[sos_07]) ).
cnf(c_0_9,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
'+'(X1,X2) = '+'(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
'==>'('+'(X1,X2),X3) = '==>'(X1,'==>'(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
'+'(X1,'+'(X2,X3)) = '+'(X2,'+'(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_9]) ).
cnf(c_0_14,plain,
'+'(X1,'+'(X2,'==>'(X1,'==>'(X2,X3)))) = '+'(X3,'==>'(X3,'+'(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9]) ).
cnf(c_0_15,plain,
'+'(X1,'+'(X2,'==>'(X1,X3))) = '+'(X2,'+'(X3,'==>'(X3,X1))),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
fof(c_0_16,negated_conjecture,
'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(assume_negation,[status(cth)],[goals_09]) ).
cnf(c_0_17,plain,
'+'(X1,'+'('==>'(X1,X2),X3)) = '+'(X2,'+'('==>'(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_11]),c_0_9]) ).
cnf(c_0_18,plain,
'+'(X1,'+'('==>'(X1,X2),'==>'('==>'(X1,X2),X3))) = '+'(X2,'==>'(X2,'+'(X3,X1))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,negated_conjecture,
'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
'+'(X1,'==>'(X1,'+'(X2,X3))) = '+'(X3,'+'(X2,'==>'(X2,'==>'(X3,X1)))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
'+'(X1,'+'('==>'(X1,X2),'==>'('==>'(X2,X1),X3))) = '+'(X1,'==>'(X1,'+'(X3,X2))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
'+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3)))) = '+'(X3,'==>'(X3,'+'(X2,'==>'(X2,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_20]),c_0_10]),c_0_21]),c_0_10]) ).
cnf(c_0_24,negated_conjecture,
'+'(a,'==>'(a,'+'(c,'==>'(c,b)))) != '+'(c,'==>'(c,'+'(b,'==>'(b,a)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_11]),c_0_11]),c_0_11]) ).
cnf(c_0_25,plain,
'+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3)))) = '+'(X3,'==>'(X3,'+'(X1,'==>'(X1,X2)))),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
cnf(c_0_26,negated_conjecture,
'+'(b,'==>'(b,'+'(c,'==>'(c,a)))) != '+'(c,'==>'(c,'+'(b,'==>'(b,a)))),
inference(rw,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_27,plain,
'+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3)))) = '+'(X2,'==>'(X2,'+'(X1,'==>'(X1,X3)))),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL897+1 : TPTP v8.1.0. Released v5.5.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 22:15:40 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 : 0.013 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 : 29
% 0.23/1.42 # Proof object clause steps : 18
% 0.23/1.42 # Proof object formula steps : 11
% 0.23/1.42 # Proof object conjectures : 7
% 0.23/1.42 # Proof object clause conjectures : 4
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 5
% 0.23/1.42 # Proof object initial formulas used : 5
% 0.23/1.42 # Proof object generating inferences : 10
% 0.23/1.42 # Proof object simplifying inferences : 12
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 9
% 0.23/1.42 # Removed by relevancy pruning/SinE : 4
% 0.23/1.42 # Initial clauses : 5
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 5
% 0.23/1.42 # Processed clauses : 273
% 0.23/1.42 # ...of these trivial : 85
% 0.23/1.42 # ...subsumed : 137
% 0.23/1.42 # ...remaining for further processing : 51
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 1
% 0.23/1.42 # Backward-rewritten : 3
% 0.23/1.42 # Generated clauses : 6557
% 0.23/1.42 # ...of the previous two non-trivial : 6281
% 0.23/1.42 # Contextual simplify-reflections : 0
% 0.23/1.42 # Paramodulations : 6557
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 47
% 0.23/1.42 # Positive orientable unit clauses : 4
% 0.23/1.42 # Positive unorientable unit clauses: 43
% 0.23/1.42 # Negative unit clauses : 0
% 0.23/1.42 # Non-unit-clauses : 0
% 0.23/1.42 # Current number of unprocessed clauses: 5888
% 0.23/1.42 # ...number of literals in the above : 5888
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 4
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 0
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 0
% 0.23/1.42 # Non-unit clause-clause subsumptions : 0
% 0.23/1.42 # Unit Clause-clause subsumption calls : 232
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 813
% 0.23/1.42 # BW rewrite match successes : 225
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 104471
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.134 s
% 0.23/1.42 # System time : 0.006 s
% 0.23/1.42 # Total time : 0.140 s
% 0.23/1.42 # Maximum resident set size: 9108 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 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
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 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
% 0.23/23.45 eprover: CPU time limit exceeded, terminating
% 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
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.23/23.47 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
% 0.23/23.47 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.mepo_128.in
% 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
% 0.23/23.48 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.mepo_128.in
% 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
% 0.23/23.48 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.51 eprover: No such file or directory
% 0.23/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------