%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW271+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 5.22s 1.26s
% Output : CNFRefutation 5.22s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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,
! [X3029] :
( 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))))),X3029) ),
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,
! [X2708,X2709,X2710] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2710),X2709),c_Divides_Odiv__class_Odiv(X2710,X2708,X2709)) = X2708
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2710),X2709),X2708))
| ~ class_Divides_Osemiring__div(X2710) ),
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_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)
| 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_qa____)),
inference(split_conjunct,[status(thm)],[fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_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_qa____,
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,plain,
! [X2996] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X2996))
| ~ class_Fields_Ofield(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_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
% 0.00/0.03 % Problem : SWW271+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 09:50:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.22/1.26 % Version: 3.5.1
% 5.22/1.26 % Preprocessing class: FMLMSMSMSSSNFFN.
% 5.22/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.22/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.22/1.26 % Starting new_bool_3 with 300s (1) cores
% 5.22/1.26 % Starting new_bool_1 with 300s (1) cores
% 5.22/1.26 % Starting sh5l with 300s (1) cores
% 5.22/1.26 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2821297 completed with status 0
% 5.22/1.26 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 5.22/1.26 % Preprocessing class: FMLMSMSMSSSNFFN.
% 5.22/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.22/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.22/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.22/1.26 % No SInE strategy applied
% 5.22/1.26 % Search class: FGHSM-SMLM32-DFFFFFNN
% 5.22/1.26 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 5.22/1.26 % Starting SubtermCWHack with 136s (1) cores
% 5.22/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.22/1.26 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 5.22/1.26 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 5.22/1.26 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 5.22/1.26 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2821308 completed with status 0
% 5.22/1.26 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 5.22/1.26 % Preprocessing class: FMLMSMSMSSSNFFN.
% 5.22/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.22/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.22/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.22/1.26 % No SInE strategy applied
% 5.22/1.26 % Search class: FGHSM-SMLM32-DFFFFFNN
% 5.22/1.26 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 5.22/1.26 % Starting SubtermCWHack with 136s (1) cores
% 5.22/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.22/1.26 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 5.22/1.26 % Preprocessing time : 0.025 s
% 5.22/1.26
% 5.22/1.26 % Proof found!
% 5.22/1.26 % SZS status Theorem
% 5.22/1.26 % SZS output start CNFRefutation
% See solution above
% 5.22/1.26 % Parsed axioms : 1209
% 5.22/1.26 % Removed by relevancy pruning/SinE : 0
% 5.22/1.26 % Initial clauses : 1698
% 5.22/1.26 % Removed in clause preprocessing : 78
% 5.22/1.26 % Initial clauses in saturation : 1620
% 5.22/1.26 % Processed clauses : 1627
% 5.22/1.26 % ...of these trivial : 9
% 5.22/1.26 % ...subsumed : 213
% 5.22/1.26 % ...remaining for further processing : 1405
% 5.22/1.26 % Other redundant clauses eliminated : 244
% 5.22/1.26 % Clauses deleted for lack of memory : 0
% 5.22/1.26 % Backward-subsumed : 0
% 5.22/1.26 % Backward-rewritten : 6
% 5.22/1.26 % Generated clauses : 10255
% 5.22/1.26 % ...of the previous two non-redundant : 8837
% 5.22/1.26 % ...aggressively subsumed : 0
% 5.22/1.26 % Contextual simplify-reflections : 2
% 5.22/1.26 % Paramodulations : 10007
% 5.22/1.26 % Factorizations : 8
% 5.22/1.26 % NegExts : 0
% 5.22/1.26 % Equation resolutions : 267
% 5.22/1.26 % Disequality decompositions : 0
% 5.22/1.26 % Total rewrite steps : 7366
% 5.22/1.26 % ...of those cached : 6458
% 5.22/1.26 % Propositional unsat checks : 0
% 5.22/1.26 % Propositional check models : 0
% 5.22/1.26 % Propositional check unsatisfiable : 0
% 5.22/1.26 % Propositional clauses : 0
% 5.22/1.26 % Propositional clauses after purity: 0
% 5.22/1.26 % Propositional unsat core size : 0
% 5.22/1.26 % Propositional preprocessing time : 0.000
% 5.22/1.26 % Propositional encoding time : 0.000
% 5.22/1.26 % Propositional solver time : 0.000
% 5.22/1.26 % Success case prop preproc time : 0.000
% 5.22/1.26 % Success case prop encoding time : 0.000
% 5.22/1.26 % Success case prop solver time : 0.000
% 5.22/1.26 % Current number of processed clauses : 1237
% 5.22/1.26 % Positive orientable unit clauses : 219
% 5.22/1.26 % Positive unorientable unit clauses: 9
% 5.22/1.26 % Negative unit clauses : 18
% 5.22/1.26 % Non-unit-clauses : 991
% 5.22/1.26 % Current number of unprocessed clauses: 8826
% 5.22/1.26 % ...number of literals in the above : 22451
% 5.22/1.26 % Current number of archived formulas : 0
% 5.22/1.26 % Current number of archived clauses : 7
% 5.22/1.26 % Clause-clause subsumption calls (NU) : 159680
% 5.22/1.26 % Rec. Clause-clause subsumption calls : 76583
% 5.22/1.26 % Non-unit clause-clause subsumptions : 195
% 5.22/1.26 % Unit Clause-clause subsumption calls : 567
% 5.22/1.26 % Rewrite failures with RHS unbound : 0
% 5.22/1.26 % BW rewrite match attempts : 575
% 5.22/1.26 % BW rewrite match successes : 70
% 5.22/1.26 % Condensation attempts : 0
% 5.22/1.26 % Condensation successes : 0
% 5.22/1.26 % Termbank termtop insertions : 384241
% 5.22/1.26 % Search garbage collected termcells : 21731
% 5.22/1.26
% 5.22/1.26 % -------------------------------------------------
% 5.22/1.26 % User time : 0.568 s
% 5.22/1.26 % System time : 0.043 s
% 5.22/1.26 % Total time : 0.611 s
% 5.22/1.26 % Maximum resident set size: 9900 pages
% 5.22/1.26
% 5.22/1.26 % -------------------------------------------------
% 5.22/1.26 % User time : 2.893 s
% 5.22/1.26 % System time : 0.153 s
% 5.22/1.26 % Total time : 3.046 s
% 5.22/1.26 % Maximum resident set size: 5888 pages
% 5.22/1.26 % E exiting
%------------------------------------------------------------------------------