%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW272+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 : n013.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 03:11:51 PM UTC 2026
% Result : Theorem 2.98s 1.09s
% Output : CNFRefutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 17 unt; 0 def)
% Number of atoms : 35 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 6 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_one__poly__def,axiom,
! [X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)) = c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__poly__def) ).
fof(fact_s,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(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))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_pne,axiom,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pne) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X19,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
! [X91] :
( class_Rings_Ocomm__semiring__1(X91)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X91)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(c_0_7,negated_conjecture,
~ ( v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_8,negated_conjecture,
v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_9,plain,
! [X614] :
( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X614)) = c_Polynomial_OpCons(X614,c_Groups_Oone__class_Oone(X614),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X614)))
| ~ class_Rings_Ocomm__semiring__1(X614) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__poly__def])])]) ).
cnf(c_0_10,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(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))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(split_conjunct,[status(thm)],[fact_s]) ).
cnf(c_0_11,negated_conjecture,
v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)) = c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
fof(c_0_14,plain,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_simplification,[status(thm)],[fact_pne]) ).
cnf(c_0_15,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(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))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = v_pa____,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
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))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,plain,
! [X1244,X1245] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1245),X1244),c_Groups_Ozero__class_Ozero(X1245)) = c_Groups_Ozero__class_Ozero(X1245)
| ~ class_Rings_Ocomm__semiring__1(X1245) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])])]) ).
fof(c_0_18,plain,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = v_pa____,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,plain,
! [X2992] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X2992))
| ~ class_Rings_Ocomm__semiring__1(X2992) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])])]) ).
cnf(c_0_23,plain,
~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_24,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW272+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 09:44:22 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 2.98/1.09 % Version: 3.5.1
% 2.98/1.09 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.98/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.98/1.09 % Starting new_bool_3 with 300s (1) cores
% 2.98/1.09 % Starting new_bool_1 with 300s (1) cores
% 2.98/1.09 % Starting sh5l with 300s (1) cores
% 2.98/1.09 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 475498 completed with status 0
% 2.98/1.09 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.98/1.09 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.98/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.98/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.98/1.09 % No SInE strategy applied
% 2.98/1.09 % Search class: FGHSM-SSLM32-DFFFFFNN
% 2.98/1.09 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.98/1.09 % Starting SubtermCWHack with 136s (1) cores
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 2.98/1.09 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 2.98/1.09 % G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 475508 completed with status 0
% 2.98/1.09 % Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 2.98/1.09 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.98/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.98/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.98/1.09 % No SInE strategy applied
% 2.98/1.09 % Search class: FGHSM-SSLM32-DFFFFFNN
% 2.98/1.09 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.98/1.09 % Starting SubtermCWHack with 136s (1) cores
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.98/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 2.98/1.09 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 2.98/1.09 % Preprocessing time : 0.021 s
% 2.98/1.09 % Presaturation interreduction done
% 2.98/1.09
% 2.98/1.09 % Proof found!
% 2.98/1.09 % SZS status Theorem
% 2.98/1.09 % SZS output start CNFRefutation
% See solution above
% 2.98/1.09 % Parsed axioms : 1206
% 2.98/1.09 % Removed by relevancy pruning/SinE : 0
% 2.98/1.09 % Initial clauses : 1588
% 2.98/1.09 % Removed in clause preprocessing : 78
% 2.98/1.09 % Initial clauses in saturation : 1510
% 2.98/1.09 % Processed clauses : 3203
% 2.98/1.09 % ...of these trivial : 16
% 2.98/1.09 % ...subsumed : 898
% 2.98/1.09 % ...remaining for further processing : 2289
% 2.98/1.09 % Other redundant clauses eliminated : 355
% 2.98/1.09 % Clauses deleted for lack of memory : 0
% 2.98/1.09 % Backward-subsumed : 5
% 2.98/1.09 % Backward-rewritten : 6
% 2.98/1.09 % Generated clauses : 4475
% 2.98/1.09 % ...of the previous two non-redundant : 3108
% 2.98/1.09 % ...aggressively subsumed : 0
% 2.98/1.09 % Contextual simplify-reflections : 3
% 2.98/1.09 % Paramodulations : 4128
% 2.98/1.09 % Factorizations : 4
% 2.98/1.09 % NegExts : 0
% 2.98/1.09 % Equation resolutions : 371
% 2.98/1.09 % Disequality decompositions : 0
% 2.98/1.09 % Total rewrite steps : 2960
% 2.98/1.09 % ...of those cached : 2416
% 2.98/1.09 % Propositional unsat checks : 0
% 2.98/1.09 % Propositional check models : 0
% 2.98/1.09 % Propositional check unsatisfiable : 0
% 2.98/1.09 % Propositional clauses : 0
% 2.98/1.09 % Propositional clauses after purity: 0
% 2.98/1.09 % Propositional unsat core size : 0
% 2.98/1.09 % Propositional preprocessing time : 0.000
% 2.98/1.09 % Propositional encoding time : 0.000
% 2.98/1.09 % Propositional solver time : 0.000
% 2.98/1.09 % Success case prop preproc time : 0.000
% 2.98/1.09 % Success case prop encoding time : 0.000
% 2.98/1.09 % Success case prop solver time : 0.000
% 2.98/1.09 % Current number of processed clauses : 919
% 2.98/1.09 % Positive orientable unit clauses : 466
% 2.98/1.09 % Positive unorientable unit clauses: 10
% 2.98/1.09 % Negative unit clauses : 58
% 2.98/1.09 % Non-unit-clauses : 385
% 2.98/1.09 % Current number of unprocessed clauses: 2629
% 2.98/1.09 % ...number of literals in the above : 5434
% 2.98/1.09 % Current number of archived formulas : 0
% 2.98/1.09 % Current number of archived clauses : 1230
% 2.98/1.09 % Clause-clause subsumption calls (NU) : 190393
% 2.98/1.09 % Rec. Clause-clause subsumption calls : 113249
% 2.98/1.09 % Non-unit clause-clause subsumptions : 425
% 2.98/1.09 % Unit Clause-clause subsumption calls : 585
% 2.98/1.09 % Rewrite failures with RHS unbound : 0
% 2.98/1.09 % BW rewrite match attempts : 4333
% 2.98/1.09 % BW rewrite match successes : 204
% 2.98/1.09 % Condensation attempts : 0
% 2.98/1.09 % Condensation successes : 0
% 2.98/1.09 % Termbank termtop insertions : 229689
% 2.98/1.09 % Search garbage collected termcells : 20305
% 2.98/1.09
% 2.98/1.09 % -------------------------------------------------
% 2.98/1.09 % User time : 0.425 s
% 2.98/1.09 % System time : 0.032 s
% 2.98/1.09 % Total time : 0.458 s
% 2.98/1.09 % Maximum resident set size: 10156 pages
% 2.98/1.09
% 2.98/1.09 % -------------------------------------------------
% 2.98/1.09 % User time : 1.600 s
% 2.98/1.09 % System time : 0.116 s
% 2.98/1.09 % Total time : 1.716 s
% 2.98/1.09 % Maximum resident set size: 5888 pages
% 2.98/1.09 % E exiting
%------------------------------------------------------------------------------