TSTP Solution File: LCL896+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL896+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 10:18:30 EDT 2022
% Result : Theorem 0.68s 69.86s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 37 unt; 0 def)
% Number of atoms : 70 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 13 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 105 ( 11 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_03,axiom,
! [X1] : '+'(X1,'0') = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_03) ).
fof(sos_02,axiom,
! [X1,X2] : '+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_02) ).
fof(sos_09,axiom,
! [X12,X13,X14] :
( '>='(X12,X13)
=> '>='('+'(X12,X14),'+'(X13,X14)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_09) ).
fof(sos_08,axiom,
! [X1] : '>='(X1,'0'),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_08) ).
fof(sos_06,axiom,
! [X7,X8] :
( ( '>='(X7,X8)
& '>='(X8,X7) )
=> X7 = X8 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_06) ).
fof(sos_07,axiom,
! [X9,X10,X11] :
( '>='('+'(X9,X10),X11)
<=> '>='(X10,'==>'(X9,X11)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_07) ).
fof(sos_11,axiom,
! [X18,X19,X20] :
( '>='(X18,X19)
=> '>='('==>'(X20,X18),'==>'(X20,X19)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_11) ).
fof(sos_12,axiom,
! [X1,X2,X3] : '+'('+'(X1,'==>'(X1,X2)),'==>'('+'(X1,'==>'(X1,X2)),X3)) = '+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_12) ).
fof(sos_01,axiom,
! [X1,X2,X3] : '+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_01) ).
fof(sos_04,axiom,
! [X1] : '>='(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_04) ).
fof(goals_13,conjecture,
! [X21,X22] : '+'(X21,'==>'(X21,X22)) = '+'(X22,'==>'(X22,X21)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals_13) ).
fof(c_0_11,plain,
! [X2] : '+'(X2,'0') = X2,
inference(variable_rename,[status(thm)],[sos_03]) ).
fof(c_0_12,plain,
! [X3,X4] : '+'(X3,X4) = '+'(X4,X3),
inference(variable_rename,[status(thm)],[sos_02]) ).
fof(c_0_13,plain,
! [X15,X16,X17] :
( ~ '>='(X15,X16)
| '>='('+'(X15,X17),'+'(X16,X17)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])]) ).
fof(c_0_14,plain,
! [X2] : '>='(X2,'0'),
inference(variable_rename,[status(thm)],[sos_08]) ).
cnf(c_0_15,plain,
'+'(X1,'0') = X1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
'+'(X1,X2) = '+'(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( '>='('+'(X1,X2),'+'(X3,X2))
| ~ '>='(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
'>='(X1,'0'),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_20,plain,
! [X9,X10] :
( ~ '>='(X9,X10)
| ~ '>='(X10,X9)
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])]) ).
fof(c_0_21,plain,
! [X12,X13,X14,X12,X13,X14] :
( ( ~ '>='('+'(X12,X13),X14)
| '>='(X13,'==>'(X12,X14)) )
& ( ~ '>='(X13,'==>'(X12,X14))
| '>='('+'(X12,X13),X14) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_22,plain,
'>='('+'(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
fof(c_0_23,plain,
! [X21,X22,X23] :
( ~ '>='(X21,X22)
| '>='('==>'(X23,X21),'==>'(X23,X22)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])]) ).
cnf(c_0_24,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
'>='('+'(X1,X2),X1),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_27,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( '0' = X1
| ~ '>='('0',X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_29,plain,
'>='(X1,'==>'(X2,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
'>='('==>'(X1,'+'(X2,X3)),'==>'(X1,X3)),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_31,plain,
'==>'(X1,X1) = '0',
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_32,plain,
! [X4,X5,X6] : '+'('+'(X4,'==>'(X4,X5)),'==>'('+'(X4,'==>'(X4,X5)),X6)) = '+'(X4,'==>'(X4,'+'(X5,'==>'(X5,X6)))),
inference(variable_rename,[status(thm)],[sos_12]) ).
fof(c_0_33,plain,
! [X4,X5,X6] : '+'('+'(X4,X5),X6) = '+'(X4,'+'(X5,X6)),
inference(variable_rename,[status(thm)],[sos_01]) ).
cnf(c_0_34,plain,
'>='('0','==>'('+'(X1,X2),X2)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_35,plain,
! [X2] : '>='(X2,X2),
inference(variable_rename,[status(thm)],[sos_04]) ).
cnf(c_0_36,plain,
'+'('+'(X1,'==>'(X1,X2)),'==>'('+'(X1,'==>'(X1,X2)),X3)) = '+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3)))),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
'==>'('+'(X1,X2),X2) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_34]),c_0_18])]) ).
cnf(c_0_39,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,plain,
'>='(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
'+'(X1,'+'('==>'(X1,X2),'==>'('+'(X1,'==>'(X1,X2)),X3))) = '+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X3)))),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
'==>'('+'(X1,X2),X1) = '0',
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
fof(c_0_43,negated_conjecture,
~ ! [X21,X22] : '+'(X21,'==>'(X21,X22)) = '+'(X22,'==>'(X22,X21)),
inference(assume_negation,[status(cth)],[goals_13]) ).
cnf(c_0_44,plain,
'>='('+'(X1,'==>'(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
'+'(X1,'==>'(X1,'+'(X2,'==>'(X2,X1)))) = '+'(X1,'==>'(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_15]) ).
fof(c_0_46,negated_conjecture,
'+'(esk1_0,'==>'(esk1_0,esk2_0)) != '+'(esk2_0,'==>'(esk2_0,esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
cnf(c_0_47,plain,
'>='('+'(X1,'==>'(X1,X2)),'+'(X2,'==>'(X2,X1))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
'+'(esk1_0,'==>'(esk1_0,esk2_0)) != '+'(esk2_0,'==>'(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,plain,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_47]),c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL896+1 : TPTP v8.1.0. Released v5.5.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.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 : Mon Jul 4 03:27:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.52/46.43 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.52/46.43
% 0.52/46.44 eprover: CPU time limit exceeded, terminating
% 0.52/46.44 eprover: CPU time limit exceeded, terminating
% 0.68/69.44 eprover: CPU time limit exceeded, terminating
% 0.68/69.45 eprover: CPU time limit exceeded, terminating
% 0.68/69.45 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.68/69.45
% 0.68/69.86 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.68/69.86
% 0.68/69.86 # Failure: Resource limit exceeded (time)
% 0.68/69.86 # OLD status Res
% 0.68/69.86 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.68/69.86 # Preprocessing time : 0.014 s
% 0.68/69.86 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.68/69.86
% 0.68/69.86 # Failure: Resource limit exceeded (time)
% 0.68/69.86 # OLD status Res
% 0.68/69.86 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.68/69.86 # Preprocessing time : 0.007 s
% 0.68/69.86 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.68/69.86
% 0.68/69.86 # Failure: Resource limit exceeded (time)
% 0.68/69.86 # OLD status Res
% 0.68/69.86 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.68/69.86 # Preprocessing time : 0.014 s
% 0.68/69.86 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.68/69.86 # Preprocessing time : 0.014 s
% 0.68/69.86
% 0.68/69.86 # Proof found!
% 0.68/69.86 # SZS status Theorem
% 0.68/69.86 # SZS output start CNFRefutation
% See solution above
% 0.68/69.86 # Proof object total steps : 51
% 0.68/69.86 # Proof object clause steps : 28
% 0.68/69.86 # Proof object formula steps : 23
% 0.68/69.86 # Proof object conjectures : 5
% 0.68/69.86 # Proof object clause conjectures : 2
% 0.68/69.86 # Proof object formula conjectures : 3
% 0.68/69.86 # Proof object initial clauses used : 12
% 0.68/69.86 # Proof object initial formulas used : 11
% 0.68/69.86 # Proof object generating inferences : 14
% 0.68/69.86 # Proof object simplifying inferences : 9
% 0.68/69.86 # Training examples: 0 positive, 0 negative
% 0.68/69.86 # Parsed axioms : 13
% 0.68/69.86 # Removed by relevancy pruning/SinE : 0
% 0.68/69.86 # Initial clauses : 14
% 0.68/69.86 # Removed in clause preprocessing : 0
% 0.68/69.86 # Initial clauses in saturation : 14
% 0.68/69.86 # Processed clauses : 1467
% 0.68/69.86 # ...of these trivial : 913
% 0.68/69.86 # ...subsumed : 265
% 0.68/69.86 # ...remaining for further processing : 289
% 0.68/69.86 # Other redundant clauses eliminated : 0
% 0.68/69.86 # Clauses deleted for lack of memory : 0
% 0.68/69.86 # Backward-subsumed : 0
% 0.68/69.86 # Backward-rewritten : 15
% 0.68/69.86 # Generated clauses : 36236
% 0.68/69.86 # ...of the previous two non-trivial : 12588
% 0.68/69.86 # Contextual simplify-reflections : 0
% 0.68/69.86 # Paramodulations : 36236
% 0.68/69.86 # Factorizations : 0
% 0.68/69.86 # Equation resolutions : 0
% 0.68/69.86 # Current number of processed clauses : 274
% 0.68/69.86 # Positive orientable unit clauses : 254
% 0.68/69.86 # Positive unorientable unit clauses: 5
% 0.68/69.86 # Negative unit clauses : 0
% 0.68/69.86 # Non-unit-clauses : 15
% 0.68/69.86 # Current number of unprocessed clauses: 10948
% 0.68/69.86 # ...number of literals in the above : 11516
% 0.68/69.86 # Current number of archived formulas : 0
% 0.68/69.86 # Current number of archived clauses : 15
% 0.68/69.86 # Clause-clause subsumption calls (NU) : 187
% 0.68/69.86 # Rec. Clause-clause subsumption calls : 187
% 0.68/69.86 # Non-unit clause-clause subsumptions : 150
% 0.68/69.86 # Unit Clause-clause subsumption calls : 132
% 0.68/69.86 # Rewrite failures with RHS unbound : 0
% 0.68/69.86 # BW rewrite match attempts : 2332
% 0.68/69.86 # BW rewrite match successes : 80
% 0.68/69.86 # Condensation attempts : 0
% 0.68/69.86 # Condensation successes : 0
% 0.68/69.86 # Termbank termtop insertions : 336690
% 0.68/69.86
% 0.68/69.86 # -------------------------------------------------
% 0.68/69.86 # User time : 0.210 s
% 0.68/69.86 # System time : 0.011 s
% 0.68/69.86 # Total time : 0.221 s
% 0.68/69.86 # Maximum resident set size: 15468 pages
% 0.68/92.46 eprover: CPU time limit exceeded, terminating
% 0.68/92.47 eprover: CPU time limit exceeded, terminating
% 0.68/92.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.48 eprover: No such file or directory
% 0.68/92.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.48 eprover: No such file or directory
% 0.68/92.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.48 eprover: No such file or directory
% 0.68/92.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.49 eprover: No such file or directory
% 0.68/92.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.49 eprover: No such file or directory
% 0.68/92.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.49 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.51 eprover: No such file or directory
% 0.68/92.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.51 eprover: No such file or directory
% 0.68/92.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.51 eprover: No such file or directory
% 0.68/92.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.52 eprover: No such file or directory
% 0.68/92.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.52 eprover: No such file or directory
% 0.68/92.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.52 eprover: No such file or directory
%------------------------------------------------------------------------------