TSTP Solution File: ALG385-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG385-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 18:06:15 EDT 2024
% Result : Unsatisfiable 4.61s 1.08s
% Output : CNFRefutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 21 unt; 0 nHn; 20 RR)
% Number of literals : 54 ( 24 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 54 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_smult__eq__0__iff_2,axiom,
( c_Polynomial_Osmult(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_smult__eq__0__iff_2) ).
cnf(cls_add__poly__code_I2_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__poly__code_I2_J_0) ).
cnf(cls_class__semiring_Omul__c_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
cnf(cls_synthetic__div__unique_0,axiom,
( X5 = c_Polynomial_Opoly(X2,X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X4,X1),tc_Polynomial_Opoly(X1)) != c_Polynomial_OpCons(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synthetic__div__unique_0) ).
cnf(cls_cs0_0,axiom,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cs0_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_poly__pCons_0,axiom,
( c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X3,X4,X1),X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(cls_CHAINED_0_01,axiom,
c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_aa____,c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(c_0_12,plain,
( c_Polynomial_Osmult(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(fof_simplification,[status(thm)],[cls_smult__eq__0__iff_2]) ).
cnf(c_0_13,plain,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[cls_add__poly__code_I2_J_0]) ).
cnf(c_0_14,plain,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[cls_class__semiring_Omul__c_0]) ).
cnf(c_0_15,plain,
( X5 = c_Polynomial_Opoly(X2,X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X4,X1),tc_Polynomial_Opoly(X1)) != c_Polynomial_OpCons(X5,X4,X1) ),
inference(fof_simplification,[status(thm)],[cls_synthetic__div__unique_0]) ).
cnf(c_0_16,plain,
( c_Polynomial_Osmult(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_12 ).
cnf(c_0_17,axiom,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
cls_cs0_0 ).
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_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_13 ).
cnf(c_0_20,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add ).
cnf(c_0_21,plain,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_14 ).
cnf(c_0_22,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_23,negated_conjecture,
~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_24,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X3,X4,X1),X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(fof_simplification,[status(thm)],[cls_poly__pCons_0]) ).
cnf(c_0_25,plain,
( X5 = c_Polynomial_Opoly(X2,X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X4,X1),tc_Polynomial_Opoly(X1)) != c_Polynomial_OpCons(X5,X4,X1) ),
c_0_15 ).
cnf(c_0_26,plain,
c_Polynomial_Osmult(X1,v_cs____,tc_Complex_Ocomplex) = v_cs____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_27,plain,
c_HOL_Oplus__class_Oplus(X1,v_cs____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]) ).
cnf(c_0_28,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0 ).
cnf(c_0_29,axiom,
c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_aa____,c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
cls_CHAINED_0_01 ).
cnf(c_0_30,plain,
c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,negated_conjecture,
~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
c_0_23 ).
cnf(c_0_32,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X3,X4,X1),X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_24 ).
cnf(c_0_33,plain,
c_Polynomial_Opoly(c_Polynomial_OpCons(X1,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = X1,
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])])]) ).
cnf(c_0_34,plain,
c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_aa____,c_HOL_Otimes__class_Otimes(v_c____,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,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_31,c_0_32]),c_0_33]),c_0_30]),c_0_34]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG385-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat May 18 22:36:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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/benchmark/theBenchmark.p
% 4.61/1.08 # Version: 3.1.0
% 4.61/1.08 # Preprocessing class: FMLMSMSSSSSNFFN.
% 4.61/1.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.61/1.08 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 4.61/1.08 # Starting new_bool_3 with 300s (1) cores
% 4.61/1.08 # Starting new_bool_1 with 300s (1) cores
% 4.61/1.08 # Starting sh5l with 300s (1) cores
% 4.61/1.08 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 9239 completed with status 0
% 4.61/1.08 # Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 4.61/1.08 # Preprocessing class: FMLMSMSSSSSNFFN.
% 4.61/1.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.61/1.08 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 4.61/1.08 # No SInE strategy applied
% 4.61/1.08 # Search class: FGHSM-SSLM32-MFFFFFNN
% 4.61/1.08 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.61/1.08 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 4.61/1.08 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 4.61/1.08 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 4.61/1.08 # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 4.61/1.08 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 4.61/1.08 # SAT001_MinMin_p005000_rr_RG with pid 9249 completed with status 0
% 4.61/1.08 # Result found by SAT001_MinMin_p005000_rr_RG
% 4.61/1.08 # Preprocessing class: FMLMSMSSSSSNFFN.
% 4.61/1.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.61/1.08 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 4.61/1.08 # No SInE strategy applied
% 4.61/1.08 # Search class: FGHSM-SSLM32-MFFFFFNN
% 4.61/1.08 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.61/1.08 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 4.61/1.08 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 4.61/1.08 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 4.61/1.08 # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 4.61/1.08 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 4.61/1.08 # Preprocessing time : 0.008 s
% 4.61/1.08 # Presaturation interreduction done
% 4.61/1.08
% 4.61/1.08 # Proof found!
% 4.61/1.08 # SZS status Unsatisfiable
% 4.61/1.08 # SZS output start CNFRefutation
% See solution above
% 4.61/1.08 # Parsed axioms : 1034
% 4.61/1.08 # Removed by relevancy pruning/SinE : 0
% 4.61/1.08 # Initial clauses : 1034
% 4.61/1.08 # Removed in clause preprocessing : 0
% 4.61/1.08 # Initial clauses in saturation : 1034
% 4.61/1.08 # Processed clauses : 6529
% 4.61/1.08 # ...of these trivial : 114
% 4.61/1.08 # ...subsumed : 3768
% 4.61/1.08 # ...remaining for further processing : 2647
% 4.61/1.08 # Other redundant clauses eliminated : 229
% 4.61/1.08 # Clauses deleted for lack of memory : 0
% 4.61/1.08 # Backward-subsumed : 38
% 4.61/1.08 # Backward-rewritten : 29
% 4.61/1.08 # Generated clauses : 23452
% 4.61/1.08 # ...of the previous two non-redundant : 19477
% 4.61/1.08 # ...aggressively subsumed : 0
% 4.61/1.08 # Contextual simplify-reflections : 1
% 4.61/1.08 # Paramodulations : 23208
% 4.61/1.08 # Factorizations : 2
% 4.61/1.08 # NegExts : 0
% 4.61/1.08 # Equation resolutions : 242
% 4.61/1.08 # Disequality decompositions : 0
% 4.61/1.08 # Total rewrite steps : 16281
% 4.61/1.08 # ...of those cached : 15604
% 4.61/1.08 # Propositional unsat checks : 0
% 4.61/1.08 # Propositional check models : 0
% 4.61/1.08 # Propositional check unsatisfiable : 0
% 4.61/1.08 # Propositional clauses : 0
% 4.61/1.08 # Propositional clauses after purity: 0
% 4.61/1.08 # Propositional unsat core size : 0
% 4.61/1.08 # Propositional preprocessing time : 0.000
% 4.61/1.08 # Propositional encoding time : 0.000
% 4.61/1.08 # Propositional solver time : 0.000
% 4.61/1.08 # Success case prop preproc time : 0.000
% 4.61/1.08 # Success case prop encoding time : 0.000
% 4.61/1.08 # Success case prop solver time : 0.000
% 4.61/1.08 # Current number of processed clauses : 1657
% 4.61/1.08 # Positive orientable unit clauses : 334
% 4.61/1.08 # Positive unorientable unit clauses: 5
% 4.61/1.08 # Negative unit clauses : 218
% 4.61/1.08 # Non-unit-clauses : 1100
% 4.61/1.08 # Current number of unprocessed clauses: 14808
% 4.61/1.08 # ...number of literals in the above : 39090
% 4.61/1.08 # Current number of archived formulas : 0
% 4.61/1.08 # Current number of archived clauses : 990
% 4.61/1.08 # Clause-clause subsumption calls (NU) : 214769
% 4.61/1.08 # Rec. Clause-clause subsumption calls : 122218
% 4.61/1.08 # Non-unit clause-clause subsumptions : 1755
% 4.61/1.08 # Unit Clause-clause subsumption calls : 22590
% 4.61/1.08 # Rewrite failures with RHS unbound : 0
% 4.61/1.08 # BW rewrite match attempts : 562
% 4.61/1.08 # BW rewrite match successes : 66
% 4.61/1.08 # Condensation attempts : 0
% 4.61/1.08 # Condensation successes : 0
% 4.61/1.08 # Termbank termtop insertions : 362141
% 4.61/1.08 # Search garbage collected termcells : 1983
% 4.61/1.08
% 4.61/1.08 # -------------------------------------------------
% 4.61/1.08 # User time : 0.533 s
% 4.61/1.08 # System time : 0.019 s
% 4.61/1.08 # Total time : 0.552 s
% 4.61/1.08 # Maximum resident set size: 3764 pages
% 4.61/1.08
% 4.61/1.08 # -------------------------------------------------
% 4.61/1.08 # User time : 2.595 s
% 4.61/1.08 # System time : 0.089 s
% 4.61/1.08 # Total time : 2.684 s
% 4.61/1.08 # Maximum resident set size: 2404 pages
% 4.61/1.08 % E---3.1 exiting
% 4.61/1.08 % E exiting
%------------------------------------------------------------------------------