TSTP Solution File: ALG368-1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG368-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 300s
% DateTime : Mon May 20 18:06:12 EDT 2024
% Result : Unsatisfiable 1.18s 0.67s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 12 unt; 0 nHn; 19 RR)
% Number of literals : 40 ( 11 equ; 20 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_eq__iff__diff__eq__0_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X1),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
cnf(cls_order__root_1,axiom,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__root_1) ).
cnf(cls_norm__zero_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__zero_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(cls_ep_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ep_0) ).
cnf(c_0_8,plain,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[cls_eq__iff__diff__eq__0_0]) ).
cnf(c_0_9,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X1),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_10,plain,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_8 ).
cnf(c_0_11,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add ).
cnf(c_0_12,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X1),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_9 ).
cnf(c_0_13,plain,
c_HOL_Ominus__class_Ominus(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(fof_simplification,[status(thm)],[cls_order__root_1]) ).
cnf(c_0_15,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(fof_simplification,[status(thm)],[cls_norm__zero_0]) ).
cnf(c_0_16,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X1),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_14 ).
cnf(c_0_18,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Oidom ).
cnf(c_0_19,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
c_0_15 ).
cnf(c_0_20,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector ).
cnf(c_0_21,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
cls_ep_0 ).
cnf(c_0_24,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_13]),c_0_22]),c_0_23]),c_0_18])]) ).
cnf(c_0_25,plain,
$false,
inference(sr,[status(thm)],[c_0_23,c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG368-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n029.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 : 300
% 0.14/0.35 % DateTime : Sat May 18 23:24:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.18/0.67 # Version: 3.1.0
% 1.18/0.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.18/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.18/0.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.18/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.18/0.67 # Starting new_bool_1 with 300s (1) cores
% 1.18/0.67 # Starting sh5l with 300s (1) cores
% 1.18/0.67 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25765 completed with status 0
% 1.18/0.67 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.18/0.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.18/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.18/0.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.18/0.67 # No SInE strategy applied
% 1.18/0.67 # Search class: FGHSM-SSLM32-MFFFFFNN
% 1.18/0.67 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.18/0.67 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 1.18/0.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.18/0.67 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 1.18/0.67 # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1.18/0.67 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 1.18/0.67 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25772 completed with status 0
% 1.18/0.67 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.18/0.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.18/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.18/0.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.18/0.67 # No SInE strategy applied
% 1.18/0.67 # Search class: FGHSM-SSLM32-MFFFFFNN
% 1.18/0.67 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.18/0.67 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 1.18/0.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.18/0.67 # Preprocessing time : 0.014 s
% 1.18/0.67 # Presaturation interreduction done
% 1.18/0.67
% 1.18/0.67 # Proof found!
% 1.18/0.67 # SZS status Unsatisfiable
% 1.18/0.67 # SZS output start CNFRefutation
% See solution above
% 1.18/0.67 # Parsed axioms : 1044
% 1.18/0.67 # Removed by relevancy pruning/SinE : 0
% 1.18/0.67 # Initial clauses : 1044
% 1.18/0.67 # Removed in clause preprocessing : 0
% 1.18/0.67 # Initial clauses in saturation : 1044
% 1.18/0.67 # Processed clauses : 1709
% 1.18/0.67 # ...of these trivial : 20
% 1.18/0.67 # ...subsumed : 217
% 1.18/0.67 # ...remaining for further processing : 1472
% 1.18/0.67 # Other redundant clauses eliminated : 9
% 1.18/0.67 # Clauses deleted for lack of memory : 0
% 1.18/0.67 # Backward-subsumed : 16
% 1.18/0.67 # Backward-rewritten : 3
% 1.18/0.67 # Generated clauses : 1479
% 1.18/0.67 # ...of the previous two non-redundant : 1172
% 1.18/0.67 # ...aggressively subsumed : 0
% 1.18/0.67 # Contextual simplify-reflections : 0
% 1.18/0.67 # Paramodulations : 1450
% 1.18/0.67 # Factorizations : 2
% 1.18/0.67 # NegExts : 0
% 1.18/0.67 # Equation resolutions : 15
% 1.18/0.67 # Disequality decompositions : 0
% 1.18/0.67 # Total rewrite steps : 954
% 1.18/0.67 # ...of those cached : 827
% 1.18/0.67 # Propositional unsat checks : 0
% 1.18/0.67 # Propositional check models : 0
% 1.18/0.67 # Propositional check unsatisfiable : 0
% 1.18/0.67 # Propositional clauses : 0
% 1.18/0.67 # Propositional clauses after purity: 0
% 1.18/0.67 # Propositional unsat core size : 0
% 1.18/0.67 # Propositional preprocessing time : 0.000
% 1.18/0.67 # Propositional encoding time : 0.000
% 1.18/0.67 # Propositional solver time : 0.000
% 1.18/0.67 # Success case prop preproc time : 0.000
% 1.18/0.67 # Success case prop encoding time : 0.000
% 1.18/0.67 # Success case prop solver time : 0.000
% 1.18/0.67 # Current number of processed clauses : 491
% 1.18/0.67 # Positive orientable unit clauses : 223
% 1.18/0.67 # Positive unorientable unit clauses: 2
% 1.18/0.67 # Negative unit clauses : 24
% 1.18/0.67 # Non-unit-clauses : 242
% 1.18/0.67 # Current number of unprocessed clauses: 1455
% 1.18/0.67 # ...number of literals in the above : 3321
% 1.18/0.67 # Current number of archived formulas : 0
% 1.18/0.67 # Current number of archived clauses : 981
% 1.18/0.67 # Clause-clause subsumption calls (NU) : 111654
% 1.18/0.67 # Rec. Clause-clause subsumption calls : 59810
% 1.18/0.67 # Non-unit clause-clause subsumptions : 97
% 1.18/0.67 # Unit Clause-clause subsumption calls : 387
% 1.18/0.67 # Rewrite failures with RHS unbound : 0
% 1.18/0.67 # BW rewrite match attempts : 90
% 1.18/0.67 # BW rewrite match successes : 41
% 1.18/0.67 # Condensation attempts : 0
% 1.18/0.67 # Condensation successes : 0
% 1.18/0.67 # Termbank termtop insertions : 61550
% 1.18/0.67 # Search garbage collected termcells : 1910
% 1.18/0.67
% 1.18/0.67 # -------------------------------------------------
% 1.18/0.67 # User time : 0.138 s
% 1.18/0.67 # System time : 0.007 s
% 1.18/0.67 # Total time : 0.146 s
% 1.18/0.67 # Maximum resident set size: 3772 pages
% 1.18/0.67
% 1.18/0.67 # -------------------------------------------------
% 1.18/0.67 # User time : 0.660 s
% 1.18/0.67 # System time : 0.038 s
% 1.18/0.67 # Total time : 0.698 s
% 1.18/0.67 # Maximum resident set size: 2420 pages
% 1.18/0.67 % E---3.1 exiting
% 1.18/0.67 % E exiting
%------------------------------------------------------------------------------