TSTP Solution File: SWW232+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 00:10:21 EDT 2022
% Result : Theorem 0.36s 1.54s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 32 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 9 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 2 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(fact_pCons_Ohyps,axiom,
! [X4,X5] :
( v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
=> ? [X6] :
! [X7] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X4,v_cs____)),X7))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_pCons_Ohyps) ).
fof(conj_0,hypothesis,
( ? [X6] :
! [X7] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X7))) )
=> v_thesis____ ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_H,axiom,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_H) ).
fof(c_0_4,negated_conjecture,
~ v_thesis____,
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_5,plain,
! [X8,X9,X11] :
( v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk9_2(X8,X9),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X11))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X8,v_cs____)),X11))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons_Ohyps])])])])])]) ).
fof(c_0_6,hypothesis,
! [X8] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk1_1(X8)))
| v_thesis____ )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk1_1(X8))))
| v_thesis____ ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),X3)))
| v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk9_2(X2,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_H]) ).
cnf(c_0_10,hypothesis,
( v_thesis____
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
( v_thesis____
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk1_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),X3)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk9_2(X2,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)) ),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk1_1(X1))),
inference(sr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk1_1(X1)))),
inference(sr,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_16,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),esk1_1(esk9_2(X2,X1))))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % 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 Jun 4 13:40:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.36/1.54 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.36/1.54 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.36/1.54 # Preprocessing time : 0.061 s
% 0.36/1.54
% 0.36/1.54 # Proof found!
% 0.36/1.54 # SZS status Theorem
% 0.36/1.54 # SZS output start CNFRefutation
% See solution above
% 0.36/1.54 # Proof object total steps : 18
% 0.36/1.54 # Proof object clause steps : 10
% 0.36/1.54 # Proof object formula steps : 8
% 0.36/1.54 # Proof object conjectures : 4
% 0.36/1.54 # Proof object clause conjectures : 1
% 0.36/1.54 # Proof object formula conjectures : 3
% 0.36/1.54 # Proof object initial clauses used : 5
% 0.36/1.54 # Proof object initial formulas used : 4
% 0.36/1.54 # Proof object generating inferences : 2
% 0.36/1.54 # Proof object simplifying inferences : 3
% 0.36/1.54 # Training examples: 0 positive, 0 negative
% 0.36/1.54 # Parsed axioms : 1254
% 0.36/1.54 # Removed by relevancy pruning/SinE : 1153
% 0.36/1.54 # Initial clauses : 142
% 0.36/1.54 # Removed in clause preprocessing : 6
% 0.36/1.54 # Initial clauses in saturation : 136
% 0.36/1.54 # Processed clauses : 3376
% 0.36/1.54 # ...of these trivial : 48
% 0.36/1.54 # ...subsumed : 2635
% 0.36/1.54 # ...remaining for further processing : 693
% 0.36/1.54 # Other redundant clauses eliminated : 339
% 0.36/1.54 # Clauses deleted for lack of memory : 0
% 0.36/1.54 # Backward-subsumed : 15
% 0.36/1.54 # Backward-rewritten : 1
% 0.36/1.54 # Generated clauses : 53327
% 0.36/1.54 # ...of the previous two non-trivial : 50004
% 0.36/1.54 # Contextual simplify-reflections : 725
% 0.36/1.54 # Paramodulations : 52907
% 0.36/1.54 # Factorizations : 2
% 0.36/1.54 # Equation resolutions : 418
% 0.36/1.54 # Current number of processed clauses : 673
% 0.36/1.54 # Positive orientable unit clauses : 57
% 0.36/1.54 # Positive unorientable unit clauses: 12
% 0.36/1.54 # Negative unit clauses : 13
% 0.36/1.54 # Non-unit-clauses : 591
% 0.36/1.54 # Current number of unprocessed clauses: 45460
% 0.36/1.54 # ...number of literals in the above : 126502
% 0.36/1.54 # Current number of archived formulas : 0
% 0.36/1.54 # Current number of archived clauses : 16
% 0.36/1.54 # Clause-clause subsumption calls (NU) : 192093
% 0.36/1.54 # Rec. Clause-clause subsumption calls : 170858
% 0.36/1.54 # Non-unit clause-clause subsumptions : 3003
% 0.36/1.54 # Unit Clause-clause subsumption calls : 732
% 0.36/1.54 # Rewrite failures with RHS unbound : 0
% 0.36/1.54 # BW rewrite match attempts : 1638
% 0.36/1.54 # BW rewrite match successes : 142
% 0.36/1.54 # Condensation attempts : 0
% 0.36/1.54 # Condensation successes : 0
% 0.36/1.54 # Termbank termtop insertions : 1073325
% 0.36/1.54
% 0.36/1.54 # -------------------------------------------------
% 0.36/1.54 # User time : 0.745 s
% 0.36/1.54 # System time : 0.022 s
% 0.36/1.54 # Total time : 0.767 s
% 0.36/1.54 # Maximum resident set size: 38868 pages
% 0.36/23.53 eprover: CPU time limit exceeded, terminating
% 0.36/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.55 eprover: No such file or directory
% 0.36/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.55 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.59 eprover: No such file or directory
% 0.36/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.59 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.60 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.60 eprover: No such file or directory
%------------------------------------------------------------------------------