%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV617-1 : 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 : 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 02:59:39 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 16 unt; 0 nHn; 11 RR)
% Number of literals : 34 ( 18 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 23 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_power__one_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__one_0) ).
cnf(cls_right__minus__eq_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).
cnf(cls_divide_Ozero_0,axiom,
( ~ class_RealVector_Oreal__normed__field(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide_Ozero_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__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
cnf(c_0_8,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_9,plain,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1) ),
inference(fof_simplification,[status(thm)],[cls_power__one_0]) ).
cnf(c_0_10,plain,
( ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(fof_simplification,[status(thm)],[cls_right__minus__eq_1]) ).
cnf(c_0_11,plain,
( ~ class_RealVector_Oreal__normed__field(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(fof_simplification,[status(thm)],[cls_divide_Ozero_0]) ).
cnf(c_0_12,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
c_0_8 ).
cnf(c_0_13,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_14,plain,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1) ),
c_0_9 ).
cnf(c_0_15,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult ).
cnf(c_0_16,plain,
( ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
c_0_10 ).
cnf(c_0_17,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add ).
cnf(c_0_18,plain,
( ~ class_RealVector_Oreal__normed__field(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
c_0_11 ).
cnf(c_0_19,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field ).
cnf(c_0_20,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
c_HOL_Ominus__class_Ominus(X1,X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV617-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n002.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 09:17:02 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.49 Running first-order theorem proving
% 0.15/0.49 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
% 0.26/0.62 % Version: 3.5.1
% 0.26/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.62 % Starting sh5l with 300s (1) cores
% 0.26/0.62 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2952770 completed with status 0
% 0.26/0.62 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.26/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.62 % No SInE strategy applied
% 0.26/0.62 % Search class: FGHSF-FSLM32-MFFFFFNN
% 0.26/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.26/0.62 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.26/0.62 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.26/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.26/0.62 % G-E--_300_C18_F1_SE_CS_SP_S0Y with pid 2952778 completed with status 0
% 0.26/0.62 % Result found by G-E--_300_C18_F1_SE_CS_SP_S0Y
% 0.26/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.62 % No SInE strategy applied
% 0.26/0.62 % Search class: FGHSF-FSLM32-MFFFFFNN
% 0.26/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.26/0.62 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.26/0.62 % Preprocessing time : 0.017 s
% 0.26/0.62
% 0.26/0.62 % Proof found!
% 0.26/0.62 % SZS status Unsatisfiable
% 0.26/0.62 % SZS output start CNFRefutation
% See solution above
% 0.26/0.62 % Parsed axioms : 766
% 0.26/0.62 % Removed by relevancy pruning/SinE : 0
% 0.26/0.62 % Initial clauses : 766
% 0.26/0.62 % Removed in clause preprocessing : 0
% 0.26/0.62 % Initial clauses in saturation : 766
% 0.26/0.62 % Processed clauses : 263
% 0.26/0.62 % ...of these trivial : 0
% 0.26/0.62 % ...subsumed : 58
% 0.26/0.62 % ...remaining for further processing : 205
% 0.26/0.62 % Other redundant clauses eliminated : 0
% 0.26/0.62 % Clauses deleted for lack of memory : 0
% 0.26/0.62 % Backward-subsumed : 1
% 0.26/0.62 % Backward-rewritten : 0
% 0.26/0.62 % Generated clauses : 134
% 0.26/0.62 % ...of the previous two non-redundant : 103
% 0.26/0.62 % ...aggressively subsumed : 0
% 0.26/0.62 % Contextual simplify-reflections : 0
% 0.26/0.62 % Paramodulations : 132
% 0.26/0.62 % Factorizations : 2
% 0.26/0.62 % NegExts : 0
% 0.26/0.62 % Equation resolutions : 0
% 0.26/0.62 % Disequality decompositions : 0
% 0.26/0.62 % Total rewrite steps : 90
% 0.26/0.62 % ...of those cached : 47
% 0.26/0.62 % Propositional unsat checks : 0
% 0.26/0.62 % Propositional check models : 0
% 0.26/0.62 % Propositional check unsatisfiable : 0
% 0.26/0.62 % Propositional clauses : 0
% 0.26/0.62 % Propositional clauses after purity: 0
% 0.26/0.62 % Propositional unsat core size : 0
% 0.26/0.62 % Propositional preprocessing time : 0.000
% 0.26/0.62 % Propositional encoding time : 0.000
% 0.26/0.62 % Propositional solver time : 0.000
% 0.26/0.62 % Success case prop preproc time : 0.000
% 0.26/0.62 % Success case prop encoding time : 0.000
% 0.26/0.62 % Success case prop solver time : 0.000
% 0.26/0.62 % Current number of processed clauses : 204
% 0.26/0.62 % Positive orientable unit clauses : 132
% 0.26/0.62 % Positive unorientable unit clauses: 0
% 0.26/0.62 % Negative unit clauses : 13
% 0.26/0.62 % Non-unit-clauses : 59
% 0.26/0.62 % Current number of unprocessed clauses: 604
% 0.26/0.62 % ...number of literals in the above : 2498
% 0.26/0.62 % Current number of archived formulas : 0
% 0.26/0.62 % Current number of archived clauses : 1
% 0.26/0.62 % Clause-clause subsumption calls (NU) : 260
% 0.26/0.62 % Rec. Clause-clause subsumption calls : 211
% 0.26/0.62 % Non-unit clause-clause subsumptions : 21
% 0.26/0.62 % Unit Clause-clause subsumption calls : 155
% 0.26/0.62 % Rewrite failures with RHS unbound : 0
% 0.26/0.62 % BW rewrite match attempts : 33
% 0.26/0.62 % BW rewrite match successes : 0
% 0.26/0.62 % Condensation attempts : 0
% 0.26/0.62 % Condensation successes : 0
% 0.26/0.62 % Termbank termtop insertions : 34595
% 0.26/0.62 % Search garbage collected termcells : 1940
% 0.26/0.62
% 0.26/0.62 % -------------------------------------------------
% 0.26/0.62 % User time : 0.050 s
% 0.26/0.62 % System time : 0.014 s
% 0.26/0.62 % Total time : 0.065 s
% 0.26/0.62 % Maximum resident set size: 5220 pages
% 0.26/0.62
% 0.26/0.62 % -------------------------------------------------
% 0.26/0.62 % User time : 0.198 s
% 0.26/0.62 % System time : 0.043 s
% 0.26/0.62 % Total time : 0.242 s
% 0.26/0.62 % Maximum resident set size: 5120 pages
% 0.26/0.62 % E exiting
%------------------------------------------------------------------------------