TSTP Solution File: SWW215+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW215+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 00:10:18 EDT 2022
% Result : Theorem 0.28s 1.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 54 ( 8 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 43 ( 17 ~; 19 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 30 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_less__eq__real__def,axiom,
! [X21,X17] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X17,X21)
<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X17,X21)
| X17 = X21 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_less__eq__real__def) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_real__le__trans,axiom,
! [X14,X15,X16] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16,X15)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16,X14) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__le__trans) ).
fof(fact_H_I5_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_H_I5_J) ).
fof(fact_real__le__linear,axiom,
! [X12,X13] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__le__linear) ).
fof(fact_real__le__antisym,axiom,
! [X12,X13] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X13)
=> X13 = X12 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__le__antisym) ).
fof(fact_H_I2_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_H_I2_J) ).
fof(c_0_7,plain,
! [X22,X23,X22,X23] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X23,X22)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X23,X22)
| X23 = X22 )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X23,X22)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X23,X22) )
& ( X23 != X22
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X23,X22) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])])])]) ).
fof(c_0_8,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_9,plain,
! [X17,X18,X19] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X18)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18,X17)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).
cnf(c_0_10,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(split_conjunct,[status(thm)],[fact_H_I5_J]) ).
fof(c_0_12,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X14,X15] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X15) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(c_0_14,plain,
! [X14,X15] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X15)
| X15 = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).
cnf(c_0_15,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[fact_H_I2_J]) ).
cnf(c_0_16,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_22,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_da____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( v_da____ = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_da____) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_da____),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
v_da____ = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_26]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW215+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11 % Command : run_ET %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.30 % CPULimit : 300
% 0.15/0.30 % WCLimit : 600
% 0.15/0.30 % DateTime : Mon Jun 6 02:11:34 EDT 2022
% 0.15/0.30 % CPUTime :
% 0.28/1.46 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.28/1.46 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.28/1.46 # Preprocessing time : 0.048 s
% 0.28/1.46
% 0.28/1.46 # Proof found!
% 0.28/1.46 # SZS status Theorem
% 0.28/1.46 # SZS output start CNFRefutation
% See solution above
% 0.28/1.46 # Proof object total steps : 28
% 0.28/1.46 # Proof object clause steps : 15
% 0.28/1.46 # Proof object formula steps : 13
% 0.28/1.46 # Proof object conjectures : 6
% 0.28/1.46 # Proof object clause conjectures : 3
% 0.28/1.46 # Proof object formula conjectures : 3
% 0.28/1.46 # Proof object initial clauses used : 7
% 0.28/1.46 # Proof object initial formulas used : 7
% 0.28/1.46 # Proof object generating inferences : 6
% 0.28/1.46 # Proof object simplifying inferences : 4
% 0.28/1.46 # Training examples: 0 positive, 0 negative
% 0.28/1.46 # Parsed axioms : 1278
% 0.28/1.46 # Removed by relevancy pruning/SinE : 972
% 0.28/1.46 # Initial clauses : 422
% 0.28/1.46 # Removed in clause preprocessing : 32
% 0.28/1.46 # Initial clauses in saturation : 390
% 0.28/1.46 # Processed clauses : 432
% 0.28/1.46 # ...of these trivial : 3
% 0.28/1.46 # ...subsumed : 79
% 0.28/1.46 # ...remaining for further processing : 350
% 0.28/1.46 # Other redundant clauses eliminated : 25
% 0.28/1.46 # Clauses deleted for lack of memory : 0
% 0.28/1.46 # Backward-subsumed : 3
% 0.28/1.46 # Backward-rewritten : 14
% 0.28/1.46 # Generated clauses : 2625
% 0.28/1.46 # ...of the previous two non-trivial : 2167
% 0.28/1.46 # Contextual simplify-reflections : 15
% 0.28/1.46 # Paramodulations : 2568
% 0.28/1.46 # Factorizations : 6
% 0.28/1.46 # Equation resolutions : 51
% 0.28/1.46 # Current number of processed clauses : 319
% 0.28/1.46 # Positive orientable unit clauses : 61
% 0.28/1.46 # Positive unorientable unit clauses: 5
% 0.28/1.46 # Negative unit clauses : 10
% 0.28/1.46 # Non-unit-clauses : 243
% 0.28/1.46 # Current number of unprocessed clauses: 2028
% 0.28/1.46 # ...number of literals in the above : 4301
% 0.28/1.46 # Current number of archived formulas : 0
% 0.28/1.46 # Current number of archived clauses : 17
% 0.28/1.46 # Clause-clause subsumption calls (NU) : 9298
% 0.28/1.46 # Rec. Clause-clause subsumption calls : 8690
% 0.28/1.46 # Non-unit clause-clause subsumptions : 82
% 0.28/1.46 # Unit Clause-clause subsumption calls : 207
% 0.28/1.46 # Rewrite failures with RHS unbound : 0
% 0.28/1.46 # BW rewrite match attempts : 301
% 0.28/1.46 # BW rewrite match successes : 55
% 0.28/1.46 # Condensation attempts : 0
% 0.28/1.46 # Condensation successes : 0
% 0.28/1.46 # Termbank termtop insertions : 97057
% 0.28/1.46
% 0.28/1.46 # -------------------------------------------------
% 0.28/1.46 # User time : 0.079 s
% 0.28/1.46 # System time : 0.007 s
% 0.28/1.46 # Total time : 0.086 s
% 0.28/1.46 # Maximum resident set size: 7604 pages
% 0.28/23.44 eprover: CPU time limit exceeded, terminating
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------