%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% 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 02:59:40 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.64s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 14 ( 8 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I33_J_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_root__unity_0,axiom,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_root__unity_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(c_0_4,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_class__semiring_Osemiring__rules_I33_J_0]) ).
cnf(c_0_5,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_6,axiom,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
cls_root__unity_0 ).
cnf(c_0_7,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2 ),
c_0_4 ).
cnf(c_0_8,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_9,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
c_0_5 ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n001.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 09:20:45 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.54 Running first-order theorem proving
% 0.22/0.54 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
% 0.28/0.64 % Version: 3.5.1
% 0.28/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.28/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.28/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.28/0.64 % Starting sh5l with 300s (1) cores
% 0.28/0.64 % new_bool_3 with pid 2772046 completed with status 0
% 0.28/0.64 % Result found by new_bool_3
% 0.28/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.28/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.28/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.64 % Search class: FGUSM-FSLM32-MFFFFFNN
% 0.28/0.64 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.64 % SubtermCWHack with pid 2772049 completed with status 0
% 0.28/0.64 % Result found by SubtermCWHack
% 0.28/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.28/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.28/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.64 % Search class: FGUSM-FSLM32-MFFFFFNN
% 0.28/0.64 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.28/0.64 % Preprocessing time : 0.005 s
% 0.28/0.64
% 0.28/0.64 % Proof found!
% 0.28/0.64 % SZS status Unsatisfiable
% 0.28/0.64 % SZS output start CNFRefutation
% See solution above
% 0.28/0.64 % Parsed axioms : 389
% 0.28/0.64 % Removed by relevancy pruning/SinE : 157
% 0.28/0.64 % Initial clauses : 232
% 0.28/0.64 % Removed in clause preprocessing : 0
% 0.28/0.64 % Initial clauses in saturation : 232
% 0.28/0.64 % Processed clauses : 55
% 0.28/0.64 % ...of these trivial : 16
% 0.28/0.64 % ...subsumed : 0
% 0.28/0.64 % ...remaining for further processing : 39
% 0.28/0.64 % Other redundant clauses eliminated : 0
% 0.28/0.64 % Clauses deleted for lack of memory : 0
% 0.28/0.64 % Backward-subsumed : 0
% 0.28/0.64 % Backward-rewritten : 0
% 0.28/0.64 % Generated clauses : 28
% 0.28/0.64 % ...of the previous two non-redundant : 4
% 0.28/0.64 % ...aggressively subsumed : 0
% 0.28/0.64 % Contextual simplify-reflections : 0
% 0.28/0.64 % Paramodulations : 28
% 0.28/0.64 % Factorizations : 0
% 0.28/0.64 % NegExts : 0
% 0.28/0.64 % Equation resolutions : 0
% 0.28/0.64 % Disequality decompositions : 0
% 0.28/0.64 % Total rewrite steps : 39
% 0.28/0.64 % ...of those cached : 23
% 0.28/0.64 % Propositional unsat checks : 0
% 0.28/0.64 % Propositional check models : 0
% 0.28/0.64 % Propositional check unsatisfiable : 0
% 0.28/0.64 % Propositional clauses : 0
% 0.28/0.64 % Propositional clauses after purity: 0
% 0.28/0.64 % Propositional unsat core size : 0
% 0.28/0.64 % Propositional preprocessing time : 0.000
% 0.28/0.64 % Propositional encoding time : 0.000
% 0.28/0.64 % Propositional solver time : 0.000
% 0.28/0.64 % Success case prop preproc time : 0.000
% 0.28/0.64 % Success case prop encoding time : 0.000
% 0.28/0.64 % Success case prop solver time : 0.000
% 0.28/0.64 % Current number of processed clauses : 39
% 0.28/0.64 % Positive orientable unit clauses : 29
% 0.28/0.64 % Positive unorientable unit clauses: 0
% 0.28/0.64 % Negative unit clauses : 3
% 0.28/0.64 % Non-unit-clauses : 7
% 0.28/0.64 % Current number of unprocessed clauses: 181
% 0.28/0.64 % ...number of literals in the above : 447
% 0.28/0.64 % Current number of archived formulas : 0
% 0.28/0.64 % Current number of archived clauses : 0
% 0.28/0.64 % Clause-clause subsumption calls (NU) : 7
% 0.28/0.64 % Rec. Clause-clause subsumption calls : 7
% 0.28/0.64 % Non-unit clause-clause subsumptions : 0
% 0.28/0.64 % Unit Clause-clause subsumption calls : 0
% 0.28/0.64 % Rewrite failures with RHS unbound : 0
% 0.28/0.64 % BW rewrite match attempts : 6
% 0.28/0.64 % BW rewrite match successes : 0
% 0.28/0.64 % Condensation attempts : 0
% 0.28/0.64 % Condensation successes : 0
% 0.28/0.64 % Termbank termtop insertions : 7750
% 0.28/0.64 % Search garbage collected termcells : 767
% 0.28/0.64
% 0.28/0.64 % -------------------------------------------------
% 0.28/0.64 % User time : 0.009 s
% 0.28/0.64 % System time : 0.009 s
% 0.28/0.64 % Total time : 0.019 s
% 0.28/0.64 % Maximum resident set size: 3868 pages
% 0.28/0.64
% 0.28/0.64 % -------------------------------------------------
% 0.28/0.64 % User time : 0.027 s
% 0.28/0.64 % System time : 0.014 s
% 0.28/0.64 % Total time : 0.041 s
% 0.28/0.64 % Maximum resident set size: 4864 pages
% 0.28/0.64 % E exiting
%------------------------------------------------------------------------------