%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW285+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 : 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 03:10:13 PM UTC 2026
% Result : ContradictoryAxioms 0.22s 10.99s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 56 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 13 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 3 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_zero__neq__one,axiom,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Ozero__class_Ozero(X5) != c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__neq__one) ).
fof(fact_degree__0,axiom,
! [X5] :
( class_Groups_Ozero(X5)
=> c_Polynomial_Odegree(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__0) ).
fof(fact_mult__poly__0__left,axiom,
! [X24,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X24) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__poly__0__left) ).
fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
! [X89] :
( class_Rings_Ocomm__semiring__1(X89)
=> class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ozero__neq__one) ).
fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(fact_pe,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pe) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X15,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_r,axiom,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_r) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
! [X89] :
( class_Rings_Ocomm__semiring__1(X89)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(c_0_11,plain,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Ozero__class_Ozero(X5) != c_Groups_Oone__class_Oone(X5) ),
inference(fof_simplification,[status(thm)],[fact_zero__neq__one]) ).
fof(c_0_12,plain,
! [X304] :
( c_Polynomial_Odegree(X304,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X304))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X304) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__0])])]) ).
fof(c_0_13,plain,
! [X328,X329] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X329)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X329))),X328) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X329))
| ~ class_Rings_Ocomm__semiring__0(X329) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__poly__0__left])])]) ).
fof(c_0_14,plain,
! [X804] :
( c_Groups_Ozero__class_Ozero(X804) != c_Groups_Oone__class_Oone(X804)
| ~ class_Rings_Ozero__neq__one(X804) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_15,plain,
! [X3047] :
( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X3047))
| ~ class_Rings_Ocomm__semiring__1(X3047) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ozero__neq__one])])]) ).
cnf(c_0_16,plain,
( ~ class_Groups_Ozero(X1)
| c_Polynomial_Odegree(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
cnf(c_0_18,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pe]) ).
cnf(c_0_19,plain,
( ~ class_Rings_Ocomm__semiring__0(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_21,plain,
( c_Groups_Ozero__class_Ozero(X1) != c_Groups_Oone__class_Oone(X1)
| ~ class_Rings_Ozero__neq__one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,plain,
! [X886,X887] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X887),X886),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X887)
| ~ class_Rings_Ocomm__semiring__1(X887) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J])])]) ).
cnf(c_0_24,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
inference(split_conjunct,[status(thm)],[fact_r]) ).
cnf(c_0_25,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_26,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X1) = v_p,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]),c_0_18]) ).
cnf(c_0_27,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
cnf(c_0_29,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = v_p,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]) ).
fof(c_0_32,plain,
! [X3042] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X3042))
| ~ class_Rings_Ocomm__semiring__1(X3042) ),
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_33,plain,
~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW285+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/10.65 % Computer : n013.cluster.edu
% 0.18/10.65 % Model : x86_64 x86_64
% 0.18/10.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.65 % Memory : 8046.5625MB
% 0.18/10.65 % OS : Linux 6.8.0-71-generic
% 0.18/10.65 % CPULimit : 300
% 0.18/10.65 % WCLimit : 300
% 0.18/10.65 % DateTime : Mon Sep 21 09:44:47 UTC 2026
% 0.18/10.65 % CPUTime :
% 0.18/10.65 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/10.70 Running first-order theorem proving
% 0.22/10.70 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
% 0.22/10.99 % Version: 3.5.1
% 0.22/10.99 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.22/10.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.99 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.99 % Starting new_bool_3 with 300s (1) cores
% 0.22/10.99 % Starting new_bool_1 with 300s (1) cores
% 0.22/10.99 % Starting sh5l with 300s (1) cores
% 0.22/10.99 % new_bool_1 with pid 476459 completed with status 9
% 0.22/10.99 % new_bool_3 with pid 476458 completed with status 9
% 0.22/10.99 % sh5l with pid 476460 completed with status 9
% 0.22/10.99 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 476457 completed with status 0
% 0.22/10.99 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/10.99 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.22/10.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.99 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/10.99 % No SInE strategy applied
% 0.22/10.99 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.22/10.99 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/10.99 % Starting SubtermCWHack with 136s (1) cores
% 0.22/10.99 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/10.99 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 0.22/10.99 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.22/10.99 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.22/10.99 % SubtermCWHack with pid 476500 completed with status 0
% 0.22/10.99 % Result found by SubtermCWHack
% 0.22/10.99 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.22/10.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.99 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/10.99 % No SInE strategy applied
% 0.22/10.99 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.22/10.99 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/10.99 % Starting SubtermCWHack with 136s (1) cores
% 0.22/10.99 % Preprocessing time : 0.022 s
% 0.22/10.99
% 0.22/10.99 % Proof found!
% 0.22/10.99 % SZS status ContradictoryAxioms
% 0.22/10.99 % SZS output start CNFRefutation
% See solution above
% 0.22/10.99 % Parsed axioms : 1180
% 0.22/10.99 % Removed by relevancy pruning/SinE : 0
% 0.22/10.99 % Initial clauses : 1616
% 0.22/10.99 % Removed in clause preprocessing : 76
% 0.22/10.99 % Initial clauses in saturation : 1540
% 0.22/10.99 % Processed clauses : 2047
% 0.22/10.99 % ...of these trivial : 96
% 0.22/10.99 % ...subsumed : 933
% 0.22/10.99 % ...remaining for further processing : 1018
% 0.22/10.99 % Other redundant clauses eliminated : 197
% 0.22/10.99 % Clauses deleted for lack of memory : 0
% 0.22/10.99 % Backward-subsumed : 3
% 0.22/10.99 % Backward-rewritten : 9
% 0.22/10.99 % Generated clauses : 4129
% 0.22/10.99 % ...of the previous two non-redundant : 2586
% 0.22/10.99 % ...aggressively subsumed : 0
% 0.22/10.99 % Contextual simplify-reflections : 0
% 0.22/10.99 % Paramodulations : 3915
% 0.22/10.99 % Factorizations : 14
% 0.22/10.99 % NegExts : 0
% 0.22/10.99 % Equation resolutions : 209
% 0.22/10.99 % Disequality decompositions : 0
% 0.22/10.99 % Total rewrite steps : 2579
% 0.22/10.99 % ...of those cached : 2181
% 0.22/10.99 % Propositional unsat checks : 0
% 0.22/10.99 % Propositional check models : 0
% 0.22/10.99 % Propositional check unsatisfiable : 0
% 0.22/10.99 % Propositional clauses : 0
% 0.22/10.99 % Propositional clauses after purity: 0
% 0.22/10.99 % Propositional unsat core size : 0
% 0.22/10.99 % Propositional preprocessing time : 0.000
% 0.22/10.99 % Propositional encoding time : 0.000
% 0.22/10.99 % Propositional solver time : 0.000
% 0.22/10.99 % Success case prop preproc time : 0.000
% 0.22/10.99 % Success case prop encoding time : 0.000
% 0.22/10.99 % Success case prop solver time : 0.000
% 0.22/10.99 % Current number of processed clauses : 927
% 0.22/10.99 % Positive orientable unit clauses : 371
% 0.22/10.99 % Positive unorientable unit clauses: 5
% 0.22/10.99 % Negative unit clauses : 50
% 0.22/10.99 % Non-unit-clauses : 501
% 0.22/10.99 % Current number of unprocessed clauses: 2076
% 0.22/10.99 % ...number of literals in the above : 5498
% 0.22/10.99 % Current number of archived formulas : 0
% 0.22/10.99 % Current number of archived clauses : 13
% 0.22/10.99 % Clause-clause subsumption calls (NU) : 24929
% 0.22/10.99 % Rec. Clause-clause subsumption calls : 22236
% 0.22/10.99 % Non-unit clause-clause subsumptions : 548
% 0.22/10.99 % Unit Clause-clause subsumption calls : 254
% 0.22/10.99 % Rewrite failures with RHS unbound : 0
% 0.22/10.99 % BW rewrite match attempts : 1067
% 0.22/10.99 % BW rewrite match successes : 59
% 0.22/10.99 % Condensation attempts : 0
% 0.22/10.99 % Condensation successes : 0
% 0.22/10.99 % Termbank termtop insertions : 184442
% 0.22/10.99 % Search garbage collected termcells : 20685
% 0.22/10.99
% 0.22/10.99 % -------------------------------------------------
% 0.22/10.99 % User time : 0.210 s
% 0.22/10.99 % System time : 0.025 s
% 0.22/10.99 % Total time : 0.234 s
% 0.22/10.99 % Maximum resident set size: 10148 pages
% 0.22/10.99
% 0.22/10.99 % -------------------------------------------------
% 0.22/10.99 % User time : 0.769 s
% 0.22/10.99 % System time : 0.157 s
% 0.22/10.99 % Total time : 0.926 s
% 0.22/10.99 % Maximum resident set size: 5888 pages
% 0.22/10.99 % E exiting
%------------------------------------------------------------------------------