TSTP Solution File: ALG406-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 18:13:17 EDT 2024
% Result : Unsatisfiable 2.12s 0.75s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 20 unt; 0 nHn; 24 RR)
% Number of literals : 50 ( 2 equ; 25 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 26 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_real__less__def_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_0) ).
cnf(cls_minus__le__self__iff_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__le__self__iff_0) ).
cnf(cls_real__mult__1_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
cnf(cls_mult__left__le__one__le_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__left__le__one__le_0) ).
cnf(cls_t_I2_J_0,axiom,
c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I2_J_0) ).
cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__mod__minus__le__complex__mod_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).
cnf(cls_t_I1_J_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I1_J_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
cnf(c_0_10,negated_conjecture,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_11,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__less__def_0]) ).
cnf(c_0_12,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_minus__le__self__iff_0]) ).
cnf(c_0_13,negated_conjecture,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
c_0_10 ).
cnf(c_0_14,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
cls_real__mult__1_0 ).
cnf(c_0_15,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_mult__left__le__one__le_0]) ).
cnf(c_0_16,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_11 ).
cnf(c_0_17,axiom,
c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_t_I2_J_0 ).
cnf(c_0_18,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
c_0_12 ).
cnf(c_0_19,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
cls_complex__mod__minus__le__complex__mod_0 ).
cnf(c_0_20,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add ).
cnf(c_0_21,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
cls_t_I1_J_0 ).
cnf(c_0_22,negated_conjecture,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_23,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
c_0_15 ).
cnf(c_0_24,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom ).
cnf(c_0_25,plain,
c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),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_27,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
$false,
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_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 22:39:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.12/0.74 # Version: 3.1.0
% 2.12/0.74 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.12/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.12/0.74 # Starting new_bool_3 with 300s (1) cores
% 2.12/0.74 # Starting new_bool_1 with 300s (1) cores
% 2.12/0.74 # Starting sh5l with 300s (1) cores
% 2.12/0.74 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8013 completed with status 0
% 2.12/0.74 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.12/0.74 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.12/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.12/0.74 # No SInE strategy applied
% 2.12/0.74 # Search class: FGHSM-FSLM31-MFFFFFNN
% 2.12/0.74 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.12/0.74 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 2.12/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.12/0.74 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2.12/0.74 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.12/0.75 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 2.12/0.75 # U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 8023 completed with status 0
% 2.12/0.75 # Result found by U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 2.12/0.75 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.12/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.12/0.75 # No SInE strategy applied
% 2.12/0.75 # Search class: FGHSM-FSLM31-MFFFFFNN
% 2.12/0.75 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.12/0.75 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 2.12/0.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.12/0.75 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2.12/0.75 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.12/0.75 # Preprocessing time : 0.007 s
% 2.12/0.75 # Presaturation interreduction done
% 2.12/0.75
% 2.12/0.75 # Proof found!
% 2.12/0.75 # SZS status Unsatisfiable
% 2.12/0.75 # SZS output start CNFRefutation
% See solution above
% 2.12/0.75 # Parsed axioms : 678
% 2.12/0.75 # Removed by relevancy pruning/SinE : 0
% 2.12/0.75 # Initial clauses : 678
% 2.12/0.75 # Removed in clause preprocessing : 0
% 2.12/0.75 # Initial clauses in saturation : 678
% 2.12/0.75 # Processed clauses : 1470
% 2.12/0.75 # ...of these trivial : 44
% 2.12/0.75 # ...subsumed : 179
% 2.12/0.75 # ...remaining for further processing : 1247
% 2.12/0.75 # Other redundant clauses eliminated : 106
% 2.12/0.75 # Clauses deleted for lack of memory : 0
% 2.12/0.75 # Backward-subsumed : 1
% 2.12/0.75 # Backward-rewritten : 1
% 2.12/0.75 # Generated clauses : 18066
% 2.12/0.75 # ...of the previous two non-redundant : 16202
% 2.12/0.75 # ...aggressively subsumed : 0
% 2.12/0.75 # Contextual simplify-reflections : 0
% 2.12/0.75 # Paramodulations : 17944
% 2.12/0.75 # Factorizations : 4
% 2.12/0.75 # NegExts : 0
% 2.12/0.75 # Equation resolutions : 118
% 2.12/0.75 # Disequality decompositions : 0
% 2.12/0.75 # Total rewrite steps : 6376
% 2.12/0.75 # ...of those cached : 6089
% 2.12/0.75 # Propositional unsat checks : 0
% 2.12/0.75 # Propositional check models : 0
% 2.12/0.75 # Propositional check unsatisfiable : 0
% 2.12/0.75 # Propositional clauses : 0
% 2.12/0.75 # Propositional clauses after purity: 0
% 2.12/0.75 # Propositional unsat core size : 0
% 2.12/0.75 # Propositional preprocessing time : 0.000
% 2.12/0.75 # Propositional encoding time : 0.000
% 2.12/0.75 # Propositional solver time : 0.000
% 2.12/0.75 # Success case prop preproc time : 0.000
% 2.12/0.75 # Success case prop encoding time : 0.000
% 2.12/0.75 # Success case prop solver time : 0.000
% 2.12/0.75 # Current number of processed clauses : 637
% 2.12/0.75 # Positive orientable unit clauses : 173
% 2.12/0.75 # Positive unorientable unit clauses: 1
% 2.12/0.75 # Negative unit clauses : 14
% 2.12/0.75 # Non-unit-clauses : 449
% 2.12/0.75 # Current number of unprocessed clauses: 16001
% 2.12/0.75 # ...number of literals in the above : 59232
% 2.12/0.75 # Current number of archived formulas : 0
% 2.12/0.75 # Current number of archived clauses : 610
% 2.12/0.75 # Clause-clause subsumption calls (NU) : 36616
% 2.12/0.75 # Rec. Clause-clause subsumption calls : 21005
% 2.12/0.75 # Non-unit clause-clause subsumptions : 93
% 2.12/0.75 # Unit Clause-clause subsumption calls : 412
% 2.12/0.75 # Rewrite failures with RHS unbound : 0
% 2.12/0.75 # BW rewrite match attempts : 132
% 2.12/0.75 # BW rewrite match successes : 15
% 2.12/0.75 # Condensation attempts : 0
% 2.12/0.75 # Condensation successes : 0
% 2.12/0.75 # Termbank termtop insertions : 271137
% 2.12/0.75 # Search garbage collected termcells : 1264
% 2.12/0.75
% 2.12/0.75 # -------------------------------------------------
% 2.12/0.75 # User time : 0.220 s
% 2.12/0.75 # System time : 0.014 s
% 2.12/0.75 # Total time : 0.234 s
% 2.12/0.75 # Maximum resident set size: 2996 pages
% 2.12/0.75
% 2.12/0.75 # -------------------------------------------------
% 2.12/0.75 # User time : 1.074 s
% 2.12/0.75 # System time : 0.061 s
% 2.12/0.75 # Total time : 1.135 s
% 2.12/0.75 # Maximum resident set size: 2136 pages
% 2.12/0.75 % E---3.1 exiting
%------------------------------------------------------------------------------