%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW238+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 : n002.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 03:10:08 PM UTC 2026
% Result : Theorem 4.39s 6.13s
% Output : CNFRefutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 15 unt; 0 def)
% Number of atoms : 21 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X26,X11,X8] :
( class_Rings_Ocomm__semiring__1(X8)
=> c_Groups_Oplus__class_Oplus(X8,X11,X26) = c_Groups_Oplus__class_Oplus(X8,X26,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
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(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(fact__096cmod_A_Iz_A_K_Ac_J_A_060_061_Acmod_A_Iz_A_K_Ac_A_L_Aa_J_A_L_Acmod_Aa_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____),v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_Iz_A_K_Ac_J_A_060_061_Acmod_A_Iz_A_K_Ac_A_L_Aa_J_A_L_Acmod_Aa_096) ).
fof(c_0_5,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_6,plain,
! [X740,X741,X742] :
( c_Groups_Oplus__class_Oplus(X742,X741,X740) = c_Groups_Oplus__class_Oplus(X742,X740,X741)
| ~ class_Rings_Ocomm__semiring__1(X742) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])])]) ).
fof(c_0_7,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
cnf(c_0_10,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
fof(c_0_11,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____),v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
inference(split_conjunct,[status(thm)],[fact__096cmod_A_Iz_A_K_Ac_J_A_060_061_Acmod_A_Iz_A_K_Ac_A_L_Aa_J_A_L_Acmod_Aa_096]) ).
cnf(c_0_13,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW238+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n002.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 09:46:08 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 4.39/6.13 % Version: 3.5.1
% 4.39/6.13 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.39/6.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.39/6.13 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.39/6.13 % Starting new_bool_3 with 300s (1) cores
% 4.39/6.13 % Starting new_bool_1 with 300s (1) cores
% 4.39/6.13 % Starting sh5l with 300s (1) cores
% 4.39/6.13 % new_bool_1 with pid 2997736 completed with status 0
% 4.39/6.13 % Result found by new_bool_1
% 4.39/6.13 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.39/6.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.39/6.13 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.39/6.13 % Starting new_bool_3 with 300s (1) cores
% 4.39/6.13 % Starting new_bool_1 with 300s (1) cores
% 4.39/6.13 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.39/6.13 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.39/6.13 % Search class: FGHSM-FSLM32-DFFFFFNN
% 4.39/6.13 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.39/6.13 % Starting SubtermCWHack with 28s (1) cores
% 4.39/6.13 % SubtermCWHack with pid 2997739 completed with status 0
% 4.39/6.13 % Result found by SubtermCWHack
% 4.39/6.13 % Preprocessing class: FMLMSMSMSSSNFFN.
% 4.39/6.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.39/6.13 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.39/6.13 % Starting new_bool_3 with 300s (1) cores
% 4.39/6.13 % Starting new_bool_1 with 300s (1) cores
% 4.39/6.13 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.39/6.13 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.39/6.13 % Search class: FGHSM-FSLM32-DFFFFFNN
% 4.39/6.13 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.39/6.13 % Starting SubtermCWHack with 28s (1) cores
% 4.39/6.13 % Preprocessing time : 0.010 s
% 4.39/6.13
% 4.39/6.13 % Proof found!
% 4.39/6.13 % SZS status Theorem
% 4.39/6.13 % SZS output start CNFRefutation
% See solution above
% 4.39/6.13 % Parsed axioms : 1272
% 4.39/6.13 % Removed by relevancy pruning/SinE : 746
% 4.39/6.13 % Initial clauses : 693
% 4.39/6.13 % Removed in clause preprocessing : 37
% 4.39/6.13 % Initial clauses in saturation : 656
% 4.39/6.13 % Processed clauses : 4774
% 4.39/6.13 % ...of these trivial : 221
% 4.39/6.13 % ...subsumed : 3210
% 4.39/6.13 % ...remaining for further processing : 1342
% 4.39/6.13 % Other redundant clauses eliminated : 278
% 4.39/6.13 % Clauses deleted for lack of memory : 0
% 4.39/6.13 % Backward-subsumed : 21
% 4.39/6.13 % Backward-rewritten : 33
% 4.39/6.13 % Generated clauses : 38627
% 4.39/6.13 % ...of the previous two non-redundant : 30800
% 4.39/6.13 % ...aggressively subsumed : 0
% 4.39/6.13 % Contextual simplify-reflections : 0
% 4.39/6.13 % Paramodulations : 38300
% 4.39/6.13 % Factorizations : 34
% 4.39/6.13 % NegExts : 0
% 4.39/6.13 % Equation resolutions : 299
% 4.39/6.13 % Disequality decompositions : 0
% 4.39/6.13 % Total rewrite steps : 35341
% 4.39/6.13 % ...of those cached : 32977
% 4.39/6.13 % Propositional unsat checks : 0
% 4.39/6.13 % Propositional check models : 0
% 4.39/6.13 % Propositional check unsatisfiable : 0
% 4.39/6.13 % Propositional clauses : 0
% 4.39/6.13 % Propositional clauses after purity: 0
% 4.39/6.13 % Propositional unsat core size : 0
% 4.39/6.13 % Propositional preprocessing time : 0.000
% 4.39/6.13 % Propositional encoding time : 0.000
% 4.39/6.13 % Propositional solver time : 0.000
% 4.39/6.13 % Success case prop preproc time : 0.000
% 4.39/6.13 % Success case prop encoding time : 0.000
% 4.39/6.13 % Success case prop solver time : 0.000
% 4.39/6.13 % Current number of processed clauses : 1229
% 4.39/6.13 % Positive orientable unit clauses : 304
% 4.39/6.13 % Positive unorientable unit clauses: 11
% 4.39/6.13 % Negative unit clauses : 93
% 4.39/6.13 % Non-unit-clauses : 821
% 4.39/6.13 % Current number of unprocessed clauses: 26631
% 4.39/6.13 % ...number of literals in the above : 64459
% 4.39/6.13 % Current number of archived formulas : 0
% 4.39/6.13 % Current number of archived clauses : 54
% 4.39/6.13 % Clause-clause subsumption calls (NU) : 82133
% 4.39/6.13 % Rec. Clause-clause subsumption calls : 55301
% 4.39/6.13 % Non-unit clause-clause subsumptions : 1788
% 4.39/6.13 % Unit Clause-clause subsumption calls : 2062
% 4.39/6.13 % Rewrite failures with RHS unbound : 20
% 4.39/6.13 % BW rewrite match attempts : 3031
% 4.39/6.13 % BW rewrite match successes : 92
% 4.39/6.13 % Condensation attempts : 0
% 4.39/6.13 % Condensation successes : 0
% 4.39/6.13 % Termbank termtop insertions : 710139
% 4.39/6.13 % Search garbage collected termcells : 13080
% 4.39/6.13
% 4.39/6.13 % -------------------------------------------------
% 4.39/6.13 % User time : 0.606 s
% 4.39/6.13 % System time : 0.030 s
% 4.39/6.13 % Total time : 0.636 s
% 4.39/6.13 % Maximum resident set size: 6856 pages
% 4.39/6.13
% 4.39/6.13 % -------------------------------------------------
% 4.39/6.13 % User time : 0.652 s
% 4.39/6.13 % System time : 0.032 s
% 4.39/6.13 % Total time : 0.683 s
% 4.39/6.13 % Maximum resident set size: 6144 pages
% 4.39/6.13 % E exiting
%------------------------------------------------------------------------------