%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:10:12 PM UTC 2026
% Result : Theorem 4.97s 1.39s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 33 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 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,
( ? [X94] : v_s____ = 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))))),X94)
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_dvd__mult__div__cancel,axiom,
! [X14,X12,X4] :
( class_Divides_Osemiring__div(X4)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X4),X12),X14))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X12),c_Divides_Odiv__class_Odiv(X4,X14,X12)) = X14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__mult__div__cancel) ).
fof(fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_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_s____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096) ).
fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
! [X91] :
( class_Fields_Ofield(X91)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X91)) ),
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(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_7,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,hypothesis,
! [X3000] :
( v_thesis____
| v_s____ != 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))))),X3000) ),
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_9,negated_conjecture,
~ v_thesis____,
inference(fof_nnf,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X2688,X2689,X2690] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2690),X2689),c_Divides_Odiv__class_Odiv(X2690,X2688,X2689)) = X2688
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2690),X2689),X2688))
| ~ class_Divides_Osemiring__div(X2690) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__div__cancel])])]) ).
cnf(c_0_11,hypothesis,
( v_s____ != 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_thesis____ ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))
| ~ class_Divides_Osemiring__div(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2)) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,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_s____)),
inference(split_conjunct,[status(thm)],[fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096]) ).
cnf(c_0_15,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_s____,
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,plain,
! [X2967] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X2967))
| ~ class_Fields_Ofield(X2967) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])])]) ).
cnf(c_0_17,plain,
~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,plain,
( ~ class_Fields_Ofield(X1)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).
cnf(c_0_20,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n017.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 09:40:57 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.54 Running first-order theorem proving
% 0.24/0.54 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
% 4.97/1.39 % Version: 3.5.1
% 4.97/1.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.97/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.97/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.97/1.39 % Starting new_bool_3 with 300s (1) cores
% 4.97/1.39 % Starting new_bool_1 with 300s (1) cores
% 4.97/1.39 % Starting sh5l with 300s (1) cores
% 4.97/1.39 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2017346 completed with status 0
% 4.97/1.39 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.97/1.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.97/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.97/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.97/1.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.97/1.39 % No SInE strategy applied
% 4.97/1.39 % Search class: FGHSM-SMLM32-DFFFFFNN
% 4.97/1.39 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.97/1.39 % Starting SubtermCWHack with 136s (1) cores
% 4.97/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.97/1.39 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 4.97/1.39 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 4.97/1.39 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 4.97/1.39 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2017355 completed with status 0
% 4.97/1.39 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 4.97/1.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.97/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.97/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.97/1.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.97/1.39 % No SInE strategy applied
% 4.97/1.39 % Search class: FGHSM-SMLM32-DFFFFFNN
% 4.97/1.39 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.97/1.39 % Starting SubtermCWHack with 136s (1) cores
% 4.97/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.97/1.39 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 4.97/1.39 % Preprocessing time : 0.035 s
% 4.97/1.39
% 4.97/1.39 % Proof found!
% 4.97/1.39 % SZS status Theorem
% 4.97/1.39 % SZS output start CNFRefutation
% See solution above
% 4.97/1.39 % Parsed axioms : 1209
% 4.97/1.39 % Removed by relevancy pruning/SinE : 0
% 4.97/1.39 % Initial clauses : 1698
% 4.97/1.39 % Removed in clause preprocessing : 78
% 4.97/1.39 % Initial clauses in saturation : 1620
% 4.97/1.39 % Processed clauses : 1631
% 4.97/1.39 % ...of these trivial : 9
% 4.97/1.39 % ...subsumed : 216
% 4.97/1.39 % ...remaining for further processing : 1406
% 4.97/1.39 % Other redundant clauses eliminated : 241
% 4.97/1.39 % Clauses deleted for lack of memory : 0
% 4.97/1.39 % Backward-subsumed : 0
% 4.97/1.39 % Backward-rewritten : 6
% 4.97/1.39 % Generated clauses : 10519
% 4.97/1.39 % ...of the previous two non-redundant : 9115
% 4.97/1.39 % ...aggressively subsumed : 0
% 4.97/1.39 % Contextual simplify-reflections : 2
% 4.97/1.39 % Paramodulations : 10274
% 4.97/1.39 % Factorizations : 8
% 4.97/1.39 % NegExts : 0
% 4.97/1.39 % Equation resolutions : 264
% 4.97/1.39 % Disequality decompositions : 0
% 4.97/1.39 % Total rewrite steps : 7293
% 4.97/1.39 % ...of those cached : 6400
% 4.97/1.39 % Propositional unsat checks : 0
% 4.97/1.39 % Propositional check models : 0
% 4.97/1.39 % Propositional check unsatisfiable : 0
% 4.97/1.39 % Propositional clauses : 0
% 4.97/1.39 % Propositional clauses after purity: 0
% 4.97/1.39 % Propositional unsat core size : 0
% 4.97/1.39 % Propositional preprocessing time : 0.000
% 4.97/1.39 % Propositional encoding time : 0.000
% 4.97/1.39 % Propositional solver time : 0.000
% 4.97/1.39 % Success case prop preproc time : 0.000
% 4.97/1.39 % Success case prop encoding time : 0.000
% 4.97/1.39 % Success case prop solver time : 0.000
% 4.97/1.39 % Current number of processed clauses : 1237
% 4.97/1.39 % Positive orientable unit clauses : 222
% 4.97/1.39 % Positive unorientable unit clauses: 9
% 4.97/1.39 % Negative unit clauses : 21
% 4.97/1.39 % Non-unit-clauses : 985
% 4.97/1.39 % Current number of unprocessed clauses: 9100
% 4.97/1.39 % ...number of literals in the above : 23593
% 4.97/1.39 % Current number of archived formulas : 0
% 4.97/1.39 % Current number of archived clauses : 7
% 4.97/1.39 % Clause-clause subsumption calls (NU) : 128151
% 4.97/1.39 % Rec. Clause-clause subsumption calls : 72490
% 4.97/1.39 % Non-unit clause-clause subsumptions : 195
% 4.97/1.39 % Unit Clause-clause subsumption calls : 1431
% 4.97/1.39 % Rewrite failures with RHS unbound : 0
% 4.97/1.39 % BW rewrite match attempts : 571
% 4.97/1.39 % BW rewrite match successes : 70
% 4.97/1.39 % Condensation attempts : 0
% 4.97/1.39 % Condensation successes : 0
% 4.97/1.39 % Termbank termtop insertions : 397636
% 4.97/1.39 % Search garbage collected termcells : 21654
% 4.97/1.39
% 4.97/1.39 % -------------------------------------------------
% 4.97/1.39 % User time : 0.685 s
% 4.97/1.39 % System time : 0.048 s
% 4.97/1.39 % Total time : 0.733 s
% 4.97/1.39 % Maximum resident set size: 10180 pages
% 4.97/1.39
% 4.97/1.39 % -------------------------------------------------
% 4.97/1.39 % User time : 2.889 s
% 4.97/1.39 % System time : 0.181 s
% 4.97/1.39 % Total time : 3.070 s
% 4.97/1.39 % Maximum resident set size: 6144 pages
% 4.97/1.39 % E exiting
%------------------------------------------------------------------------------