TSTP Solution File: SWW271+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW271+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:08:57 EDT 2023
% Result : Theorem 0.48s 1.25s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 31 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 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_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/tmp/tmp.PvHdfj23Ti/E---3.1_6324.p',conj_0) ).
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/tmp/tmp.PvHdfj23Ti/E---3.1_6324.p',conj_1) ).
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/tmp/tmp.PvHdfj23Ti/E---3.1_6324.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/tmp/tmp.PvHdfj23Ti/E---3.1_6324.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/tmp/tmp.PvHdfj23Ti/E---3.1_6324.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.PvHdfj23Ti/E---3.1_6324.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(c_0_6,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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
fof(c_0_7,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_8,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__div__cancel])]) ).
cnf(c_0_9,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_6]) ).
cnf(c_0_10,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,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_8]) ).
cnf(c_0_12,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_13,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_9,c_0_10]) ).
fof(c_0_14,plain,
! [X2996] :
( ~ class_Fields_Ofield(X2996)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X2996)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])]) ).
cnf(c_0_15,plain,
~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,plain,
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
| ~ class_Fields_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).
cnf(c_0_18,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.21 % Problem : SWW271+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.22 % Command : run_E %s %d THM
% 0.22/0.42 % Computer : n012.cluster.edu
% 0.22/0.42 % Model : x86_64 x86_64
% 0.22/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.42 % Memory : 8042.1875MB
% 0.22/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.42 % CPULimit : 2400
% 0.22/0.42 % WCLimit : 300
% 0.22/0.42 % DateTime : Mon Oct 2 22:51:35 EDT 2023
% 0.22/0.43 % CPUTime :
% 0.39/0.65 Running first-order theorem proving
% 0.39/0.65 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/tmp/tmp.PvHdfj23Ti/E---3.1_6324.p
% 0.48/1.25 # Version: 3.1pre001
% 0.48/1.25 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.48/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/1.25 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/1.25 # Starting new_bool_3 with 300s (1) cores
% 0.48/1.25 # Starting new_bool_1 with 300s (1) cores
% 0.48/1.25 # Starting sh5l with 300s (1) cores
% 0.48/1.25 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6402 completed with status 0
% 0.48/1.25 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.48/1.25 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.48/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/1.25 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/1.25 # No SInE strategy applied
% 0.48/1.25 # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.48/1.25 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.48/1.25 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.48/1.25 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.48/1.25 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.48/1.25 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.48/1.25 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 0.48/1.25 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6410 completed with status 0
% 0.48/1.25 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.48/1.25 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.48/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/1.25 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/1.25 # No SInE strategy applied
% 0.48/1.25 # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.48/1.25 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.48/1.25 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.48/1.25 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.48/1.25 # Preprocessing time : 0.022 s
% 0.48/1.25 # Presaturation interreduction done
% 0.48/1.25
% 0.48/1.25 # Proof found!
% 0.48/1.25 # SZS status Theorem
% 0.48/1.25 # SZS output start CNFRefutation
% See solution above
% 0.48/1.25 # Parsed axioms : 1209
% 0.48/1.25 # Removed by relevancy pruning/SinE : 0
% 0.48/1.25 # Initial clauses : 1698
% 0.48/1.25 # Removed in clause preprocessing : 78
% 0.48/1.25 # Initial clauses in saturation : 1620
% 0.48/1.25 # Processed clauses : 3192
% 0.48/1.25 # ...of these trivial : 30
% 0.48/1.25 # ...subsumed : 672
% 0.48/1.25 # ...remaining for further processing : 2490
% 0.48/1.25 # Other redundant clauses eliminated : 322
% 0.48/1.25 # Clauses deleted for lack of memory : 0
% 0.48/1.25 # Backward-subsumed : 2
% 0.48/1.25 # Backward-rewritten : 5
% 0.48/1.25 # Generated clauses : 11955
% 0.48/1.25 # ...of the previous two non-redundant : 9950
% 0.48/1.25 # ...aggressively subsumed : 0
% 0.48/1.25 # Contextual simplify-reflections : 2
% 0.48/1.25 # Paramodulations : 11634
% 0.48/1.25 # Factorizations : 8
% 0.48/1.25 # NegExts : 0
% 0.48/1.25 # Equation resolutions : 340
% 0.48/1.25 # Total rewrite steps : 7662
% 0.48/1.25 # Propositional unsat checks : 0
% 0.48/1.25 # Propositional check models : 0
% 0.48/1.25 # Propositional check unsatisfiable : 0
% 0.48/1.25 # Propositional clauses : 0
% 0.48/1.25 # Propositional clauses after purity: 0
% 0.48/1.25 # Propositional unsat core size : 0
% 0.48/1.25 # Propositional preprocessing time : 0.000
% 0.48/1.25 # Propositional encoding time : 0.000
% 0.48/1.25 # Propositional solver time : 0.000
% 0.48/1.25 # Success case prop preproc time : 0.000
% 0.48/1.25 # Success case prop encoding time : 0.000
% 0.48/1.25 # Success case prop solver time : 0.000
% 0.48/1.25 # Current number of processed clauses : 1017
% 0.48/1.25 # Positive orientable unit clauses : 264
% 0.48/1.25 # Positive unorientable unit clauses: 9
% 0.48/1.25 # Negative unit clauses : 43
% 0.48/1.25 # Non-unit-clauses : 701
% 0.48/1.25 # Current number of unprocessed clauses: 9682
% 0.48/1.25 # ...number of literals in the above : 26500
% 0.48/1.25 # Current number of archived formulas : 0
% 0.48/1.25 # Current number of archived clauses : 1312
% 0.48/1.25 # Clause-clause subsumption calls (NU) : 266564
% 0.48/1.25 # Rec. Clause-clause subsumption calls : 141723
% 0.48/1.25 # Non-unit clause-clause subsumptions : 345
% 0.48/1.25 # Unit Clause-clause subsumption calls : 2114
% 0.48/1.25 # Rewrite failures with RHS unbound : 0
% 0.48/1.25 # BW rewrite match attempts : 1045
% 0.48/1.25 # BW rewrite match successes : 178
% 0.48/1.25 # Condensation attempts : 0
% 0.48/1.25 # Condensation successes : 0
% 0.48/1.25 # Termbank termtop insertions : 345106
% 0.48/1.25
% 0.48/1.25 # -------------------------------------------------
% 0.48/1.25 # User time : 0.507 s
% 0.48/1.25 # System time : 0.023 s
% 0.48/1.25 # Total time : 0.530 s
% 0.48/1.25 # Maximum resident set size: 8436 pages
% 0.48/1.25
% 0.48/1.25 # -------------------------------------------------
% 0.48/1.25 # User time : 2.282 s
% 0.48/1.25 # System time : 0.094 s
% 0.48/1.25 # Total time : 2.375 s
% 0.48/1.25 # Maximum resident set size: 3128 pages
% 0.48/1.25 % E---3.1 exiting
% 0.48/1.25 % E---3.1 exiting
%------------------------------------------------------------------------------