TSTP Solution File: SWW204+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 00:10:17 EDT 2022
% Result : Theorem 0.37s 1.56s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 13 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_real__le__linear,axiom,
! [X7,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__le__linear) ).
fof(fact_real__le__antisym,axiom,
! [X7,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8))
=> X8 = X7 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__le__antisym) ).
fof(fact_real__le__trans,axiom,
! [X9,X10,X11] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X9)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__le__trans) ).
fof(fact__0960_A_060_061_Acmod_A_Is_A0_J_096,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__0960_A_060_061_Acmod_A_Is_A0_J_096) ).
fof(fact_assms,axiom,
! [X6] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X6))),v_r)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_assms) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9),X10)) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(c_0_9,plain,
! [X9,X10] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9),X10))
| X10 = X9 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).
fof(c_0_10,plain,
! [X12,X13,X14] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X13))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X12))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).
cnf(c_0_11,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(split_conjunct,[status(thm)],[fact__0960_A_060_061_Acmod_A_Is_A0_J_096]) ).
cnf(c_0_15,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X7))),v_r)),
inference(variable_rename,[status(thm)],[fact_assms]) ).
cnf(c_0_18,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 4 10:40:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.37/1.56 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.37/1.56 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.37/1.56 # Preprocessing time : 0.065 s
% 0.37/1.56
% 0.37/1.56 # Proof found!
% 0.37/1.56 # SZS status Theorem
% 0.37/1.56 # SZS output start CNFRefutation
% See solution above
% 0.37/1.56 # Proof object total steps : 23
% 0.37/1.56 # Proof object clause steps : 11
% 0.37/1.56 # Proof object formula steps : 12
% 0.37/1.56 # Proof object conjectures : 8
% 0.37/1.56 # Proof object clause conjectures : 5
% 0.37/1.56 # Proof object formula conjectures : 3
% 0.37/1.56 # Proof object initial clauses used : 6
% 0.37/1.56 # Proof object initial formulas used : 6
% 0.37/1.56 # Proof object generating inferences : 5
% 0.37/1.56 # Proof object simplifying inferences : 3
% 0.37/1.56 # Training examples: 0 positive, 0 negative
% 0.37/1.56 # Parsed axioms : 1264
% 0.37/1.56 # Removed by relevancy pruning/SinE : 1163
% 0.37/1.56 # Initial clauses : 155
% 0.37/1.56 # Removed in clause preprocessing : 13
% 0.37/1.56 # Initial clauses in saturation : 142
% 0.37/1.56 # Processed clauses : 158
% 0.37/1.56 # ...of these trivial : 3
% 0.37/1.56 # ...subsumed : 33
% 0.37/1.56 # ...remaining for further processing : 122
% 0.37/1.56 # Other redundant clauses eliminated : 10
% 0.37/1.56 # Clauses deleted for lack of memory : 0
% 0.37/1.56 # Backward-subsumed : 1
% 0.37/1.56 # Backward-rewritten : 4
% 0.37/1.56 # Generated clauses : 748
% 0.37/1.56 # ...of the previous two non-trivial : 606
% 0.37/1.56 # Contextual simplify-reflections : 3
% 0.37/1.56 # Paramodulations : 723
% 0.37/1.56 # Factorizations : 6
% 0.37/1.56 # Equation resolutions : 19
% 0.37/1.56 # Current number of processed clauses : 107
% 0.37/1.56 # Positive orientable unit clauses : 21
% 0.37/1.56 # Positive unorientable unit clauses: 4
% 0.37/1.56 # Negative unit clauses : 7
% 0.37/1.56 # Non-unit-clauses : 75
% 0.37/1.56 # Current number of unprocessed clauses: 587
% 0.37/1.56 # ...number of literals in the above : 1382
% 0.37/1.56 # Current number of archived formulas : 0
% 0.37/1.56 # Current number of archived clauses : 5
% 0.37/1.56 # Clause-clause subsumption calls (NU) : 569
% 0.37/1.56 # Rec. Clause-clause subsumption calls : 549
% 0.37/1.56 # Non-unit clause-clause subsumptions : 29
% 0.37/1.56 # Unit Clause-clause subsumption calls : 34
% 0.37/1.56 # Rewrite failures with RHS unbound : 0
% 0.37/1.56 # BW rewrite match attempts : 92
% 0.37/1.56 # BW rewrite match successes : 18
% 0.37/1.56 # Condensation attempts : 0
% 0.37/1.56 # Condensation successes : 0
% 0.37/1.56 # Termbank termtop insertions : 49964
% 0.37/1.56
% 0.37/1.56 # -------------------------------------------------
% 0.37/1.56 # User time : 0.078 s
% 0.37/1.56 # System time : 0.009 s
% 0.37/1.56 # Total time : 0.087 s
% 0.37/1.56 # Maximum resident set size: 5812 pages
%------------------------------------------------------------------------------