TSTP Solution File: SWW271+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWW271+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : Tue May 21 06:42:03 EDT 2024
% Result : Theorem 1.31s 1.03s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 32 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 16 ( 2 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
( ? [X91] : v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X91)
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_dvd__mult__div__cancel,axiom,
! [X13,X11,X4] :
( class_Divides_Osemiring__div(X4)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X4),X11),X13))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X11),c_Divides_Odiv__class_Odiv(X4,X13,X11)) = X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__mult__div__cancel) ).
fof(fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096,axiom,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096) ).
fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
! [X89] :
( class_Fields_Ofield(X89)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(c_0_6,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_7,hypothesis,
! [X3029] :
( v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X3029)
| v_thesis____ ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])]) ).
fof(c_0_8,negated_conjecture,
~ v_thesis____,
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X2708,X2709,X2710] :
( ~ class_Divides_Osemiring__div(X2710)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2710),X2709),X2708))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2710),X2709),c_Divides_Odiv__class_Odiv(X2710,X2708,X2709)) = X2708 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__div__cancel])])]) ).
cnf(c_0_10,hypothesis,
( v_thesis____
| v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2)) = X3
| ~ class_Divides_Osemiring__div(X1)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____)),
inference(split_conjunct,[status(thm)],[fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096]) ).
cnf(c_0_14,hypothesis,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X1) != v_qa____,
inference(sr,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_15,plain,
! [X2996] :
( ~ class_Fields_Ofield(X2996)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X2996)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])])]) ).
cnf(c_0_16,plain,
~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,plain,
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
| ~ class_Fields_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).
cnf(c_0_19,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW271+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n007.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 21:08:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 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
% 1.31/1.03 # Version: 3.1.0
% 1.31/1.03 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.31/1.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.31/1.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.31/1.03 # Starting new_bool_3 with 300s (1) cores
% 1.31/1.03 # Starting new_bool_1 with 300s (1) cores
% 1.31/1.03 # Starting sh5l with 300s (1) cores
% 1.31/1.03 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18222 completed with status 0
% 1.31/1.03 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.31/1.03 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.31/1.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.31/1.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.31/1.03 # No SInE strategy applied
% 1.31/1.03 # Search class: FGHSM-SMLM32-DFFFFFNN
% 1.31/1.03 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.31/1.03 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 1.31/1.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.31/1.03 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 1.31/1.03 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.31/1.03 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 1.31/1.03 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18230 completed with status 0
% 1.31/1.03 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.31/1.03 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.31/1.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.31/1.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.31/1.03 # No SInE strategy applied
% 1.31/1.03 # Search class: FGHSM-SMLM32-DFFFFFNN
% 1.31/1.03 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.31/1.03 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 1.31/1.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.31/1.03 # Preprocessing time : 0.020 s
% 1.31/1.03 # Presaturation interreduction done
% 1.31/1.03
% 1.31/1.03 # Proof found!
% 1.31/1.03 # SZS status Theorem
% 1.31/1.03 # SZS output start CNFRefutation
% See solution above
% 1.31/1.03 # Parsed axioms : 1209
% 1.31/1.03 # Removed by relevancy pruning/SinE : 0
% 1.31/1.03 # Initial clauses : 1698
% 1.31/1.03 # Removed in clause preprocessing : 78
% 1.31/1.03 # Initial clauses in saturation : 1620
% 1.31/1.03 # Processed clauses : 3192
% 1.31/1.03 # ...of these trivial : 30
% 1.31/1.03 # ...subsumed : 672
% 1.31/1.03 # ...remaining for further processing : 2490
% 1.31/1.03 # Other redundant clauses eliminated : 322
% 1.31/1.03 # Clauses deleted for lack of memory : 0
% 1.31/1.03 # Backward-subsumed : 2
% 1.31/1.03 # Backward-rewritten : 5
% 1.31/1.03 # Generated clauses : 11955
% 1.31/1.03 # ...of the previous two non-redundant : 9950
% 1.31/1.03 # ...aggressively subsumed : 0
% 1.31/1.03 # Contextual simplify-reflections : 2
% 1.31/1.03 # Paramodulations : 11634
% 1.31/1.03 # Factorizations : 8
% 1.31/1.03 # NegExts : 0
% 1.31/1.03 # Equation resolutions : 340
% 1.31/1.03 # Disequality decompositions : 0
% 1.31/1.03 # Total rewrite steps : 7662
% 1.31/1.03 # ...of those cached : 6868
% 1.31/1.03 # Propositional unsat checks : 0
% 1.31/1.03 # Propositional check models : 0
% 1.31/1.03 # Propositional check unsatisfiable : 0
% 1.31/1.03 # Propositional clauses : 0
% 1.31/1.03 # Propositional clauses after purity: 0
% 1.31/1.03 # Propositional unsat core size : 0
% 1.31/1.03 # Propositional preprocessing time : 0.000
% 1.31/1.03 # Propositional encoding time : 0.000
% 1.31/1.03 # Propositional solver time : 0.000
% 1.31/1.03 # Success case prop preproc time : 0.000
% 1.31/1.03 # Success case prop encoding time : 0.000
% 1.31/1.03 # Success case prop solver time : 0.000
% 1.31/1.03 # Current number of processed clauses : 1017
% 1.31/1.03 # Positive orientable unit clauses : 264
% 1.31/1.03 # Positive unorientable unit clauses: 9
% 1.31/1.03 # Negative unit clauses : 43
% 1.31/1.03 # Non-unit-clauses : 701
% 1.31/1.03 # Current number of unprocessed clauses: 9682
% 1.31/1.03 # ...number of literals in the above : 26500
% 1.31/1.03 # Current number of archived formulas : 0
% 1.31/1.03 # Current number of archived clauses : 1312
% 1.31/1.03 # Clause-clause subsumption calls (NU) : 266564
% 1.31/1.03 # Rec. Clause-clause subsumption calls : 141723
% 1.31/1.03 # Non-unit clause-clause subsumptions : 345
% 1.31/1.03 # Unit Clause-clause subsumption calls : 2114
% 1.31/1.03 # Rewrite failures with RHS unbound : 0
% 1.31/1.03 # BW rewrite match attempts : 1045
% 1.31/1.03 # BW rewrite match successes : 178
% 1.31/1.03 # Condensation attempts : 0
% 1.31/1.03 # Condensation successes : 0
% 1.31/1.03 # Termbank termtop insertions : 362330
% 1.31/1.03 # Search garbage collected termcells : 21733
% 1.31/1.03
% 1.31/1.03 # -------------------------------------------------
% 1.31/1.03 # User time : 0.408 s
% 1.31/1.03 # System time : 0.020 s
% 1.31/1.03 # Total time : 0.428 s
% 1.31/1.03 # Maximum resident set size: 8540 pages
% 1.31/1.03
% 1.31/1.03 # -------------------------------------------------
% 1.31/1.03 # User time : 1.791 s
% 1.31/1.03 # System time : 0.079 s
% 1.31/1.03 # Total time : 1.870 s
% 1.31/1.03 # Maximum resident set size: 3124 pages
% 1.31/1.03 % E---3.1 exiting
% 1.31/1.03 % E exiting
%------------------------------------------------------------------------------