TSTP Solution File: SWW235+1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW235+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 300s
% DateTime : Mon Jun 24 18:11:21 EDT 2024
% Result : Theorem 14.52s 2.52s
% Output : CNFRefutation 14.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 31 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),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_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
file('/export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p',conj_0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X22,X5,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> c_Groups_Oplus__class_Oplus(X6,X5,X22) = c_Groups_Oplus__class_Oplus(X6,X22,X5) ),
file('/export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_poly__pCons,axiom,
! [X9,X11,X5,X6] :
( class_Rings_Ocomm__semiring__0(X6)
=> hAPP(c_Polynomial_Opoly(X6,c_Polynomial_OpCons(X6,X5,X11)),X9) = c_Groups_Oplus__class_Oplus(X6,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X9),hAPP(c_Polynomial_Opoly(X6,X11),X9))) ),
file('/export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p',fact_poly__pCons) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_norm__diff__ineq,axiom,
! [X4,X5,X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X5),c_RealVector_Onorm__class_Onorm(X6,X4)),c_RealVector_Onorm__class_Onorm(X6,c_Groups_Oplus__class_Oplus(X6,X5,X4))) ),
file('/export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p',fact_norm__diff__ineq) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(c_0_7,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),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_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_8,plain,
! [X768,X769,X770] :
( ~ class_Rings_Ocomm__semiring__1(X770)
| c_Groups_Oplus__class_Oplus(X770,X769,X768) = c_Groups_Oplus__class_Oplus(X770,X768,X769) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])])]) ).
fof(c_0_9,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),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_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X199,X200,X201,X202] :
( ~ class_Rings_Ocomm__semiring__0(X202)
| hAPP(c_Polynomial_Opoly(X202,c_Polynomial_OpCons(X202,X201,X200)),X199) = c_Groups_Oplus__class_Oplus(X202,X201,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X202),X199),hAPP(c_Polynomial_Opoly(X202,X200),X199))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__pCons])])]) ).
cnf(c_0_11,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
cnf(c_0_13,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),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_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),X4) = c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4)))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_16,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
! [X196,X197,X198] :
( ~ class_RealVector_Oreal__normed__vector(X198)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X198,X197),c_RealVector_Onorm__class_Onorm(X198,X196)),c_RealVector_Onorm__class_Onorm(X198,c_Groups_Oplus__class_Oplus(X198,X197,X196))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__diff__ineq])])]) ).
cnf(c_0_18,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____)),v_aa____))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_19,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW235+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 09:09:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.41/0.62 Running first-order theorem proving
% 0.41/0.62 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.2JcS6oMvUc/E---3.1_12028.p
% 14.52/2.52 # Version: 3.2.0
% 14.52/2.52 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.52/2.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.52/2.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.52/2.52 # Starting new_bool_3 with 300s (1) cores
% 14.52/2.52 # Starting new_bool_1 with 300s (1) cores
% 14.52/2.52 # Starting sh5l with 300s (1) cores
% 14.52/2.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12107 completed with status 0
% 14.52/2.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.52/2.52 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.52/2.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.52/2.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.52/2.52 # No SInE strategy applied
% 14.52/2.52 # Search class: FGHSM-SMLM32-DFFFFFNN
% 14.52/2.52 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.52/2.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 14.52/2.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.52/2.52 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 14.52/2.52 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.52/2.52 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 14.52/2.52 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 12118 completed with status 0
% 14.52/2.52 # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.52/2.52 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.52/2.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.52/2.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.52/2.52 # No SInE strategy applied
% 14.52/2.52 # Search class: FGHSM-SMLM32-DFFFFFNN
% 14.52/2.52 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.52/2.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 14.52/2.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.52/2.52 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 14.52/2.52 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.52/2.52 # Preprocessing time : 0.026 s
% 14.52/2.52 # Presaturation interreduction done
% 14.52/2.52
% 14.52/2.52 # Proof found!
% 14.52/2.52 # SZS status Theorem
% 14.52/2.52 # SZS output start CNFRefutation
% See solution above
% 14.52/2.52 # Parsed axioms : 1259
% 14.52/2.52 # Removed by relevancy pruning/SinE : 0
% 14.52/2.52 # Initial clauses : 1763
% 14.52/2.52 # Removed in clause preprocessing : 46
% 14.52/2.52 # Initial clauses in saturation : 1717
% 14.52/2.52 # Processed clauses : 10980
% 14.52/2.52 # ...of these trivial : 217
% 14.52/2.52 # ...subsumed : 5986
% 14.52/2.52 # ...remaining for further processing : 4777
% 14.52/2.52 # Other redundant clauses eliminated : 593
% 14.52/2.52 # Clauses deleted for lack of memory : 0
% 14.52/2.52 # Backward-subsumed : 42
% 14.52/2.52 # Backward-rewritten : 57
% 14.52/2.52 # Generated clauses : 122449
% 14.52/2.52 # ...of the previous two non-redundant : 111666
% 14.52/2.52 # ...aggressively subsumed : 0
% 14.52/2.52 # Contextual simplify-reflections : 3
% 14.52/2.52 # Paramodulations : 121843
% 14.52/2.52 # Factorizations : 10
% 14.52/2.52 # NegExts : 0
% 14.52/2.52 # Equation resolutions : 611
% 14.52/2.52 # Disequality decompositions : 0
% 14.52/2.52 # Total rewrite steps : 71588
% 14.52/2.52 # ...of those cached : 68444
% 14.52/2.52 # Propositional unsat checks : 0
% 14.52/2.52 # Propositional check models : 0
% 14.52/2.52 # Propositional check unsatisfiable : 0
% 14.52/2.52 # Propositional clauses : 0
% 14.52/2.52 # Propositional clauses after purity: 0
% 14.52/2.52 # Propositional unsat core size : 0
% 14.52/2.52 # Propositional preprocessing time : 0.000
% 14.52/2.52 # Propositional encoding time : 0.000
% 14.52/2.52 # Propositional solver time : 0.000
% 14.52/2.52 # Success case prop preproc time : 0.000
% 14.52/2.52 # Success case prop encoding time : 0.000
% 14.52/2.52 # Success case prop solver time : 0.000
% 14.52/2.52 # Current number of processed clauses : 3109
% 14.52/2.52 # Positive orientable unit clauses : 660
% 14.52/2.52 # Positive unorientable unit clauses: 15
% 14.52/2.52 # Negative unit clauses : 498
% 14.52/2.52 # Non-unit-clauses : 1936
% 14.52/2.52 # Current number of unprocessed clauses: 103695
% 14.52/2.52 # ...number of literals in the above : 253319
% 14.52/2.52 # Current number of archived formulas : 0
% 14.52/2.52 # Current number of archived clauses : 1533
% 14.52/2.52 # Clause-clause subsumption calls (NU) : 455415
% 14.52/2.52 # Rec. Clause-clause subsumption calls : 341824
% 14.52/2.52 # Non-unit clause-clause subsumptions : 2840
% 14.52/2.52 # Unit Clause-clause subsumption calls : 72037
% 14.52/2.52 # Rewrite failures with RHS unbound : 0
% 14.52/2.52 # BW rewrite match attempts : 28234
% 14.52/2.52 # BW rewrite match successes : 316
% 14.52/2.52 # Condensation attempts : 0
% 14.52/2.52 # Condensation successes : 0
% 14.52/2.52 # Termbank termtop insertions : 2442649
% 14.52/2.52 # Search garbage collected termcells : 20747
% 14.52/2.52
% 14.52/2.52 # -------------------------------------------------
% 14.52/2.52 # User time : 1.677 s
% 14.52/2.52 # System time : 0.071 s
% 14.52/2.52 # Total time : 1.748 s
% 14.52/2.52 # Maximum resident set size: 8532 pages
% 14.52/2.52
% 14.52/2.52 # -------------------------------------------------
% 14.52/2.52 # User time : 8.207 s
% 14.52/2.52 # System time : 0.370 s
% 14.52/2.52 # Total time : 8.577 s
% 14.52/2.52 # Maximum resident set size: 3132 pages
% 14.52/2.52 % E---3.1 exiting
% 14.52/2.52 % E exiting
%------------------------------------------------------------------------------