%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG405-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 11:56:03 AM UTC 2026
% Result : Unsatisfiable 0.58s 0.63s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 5 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_a____,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_a____,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_2,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_a____,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_3,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_a____,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
c_0_2 ).
cnf(c_0_4,negated_conjecture,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_a____,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
cls_conjecture_0 ).
cnf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG405-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 13:24:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.46 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
% 0.58/0.63 % Version: 3.5.1
% 0.58/0.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.58/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.58/0.63 % Starting sh5l with 300s (1) cores
% 0.58/0.63 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3220330 completed with status 0
% 0.58/0.63 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.58/0.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.58/0.63 % No SInE strategy applied
% 0.58/0.63 % Search class: FGHSS-FSLM32-DFFFFFNN
% 0.58/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.58/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.58/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.58/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.58/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.58/0.63 % Starting new_bool_1 with 136s (1) cores
% 0.58/0.63 % new_bool_3 with pid 3220339 completed with status 0
% 0.58/0.63 % Result found by new_bool_3
% 0.58/0.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.58/0.63 % No SInE strategy applied
% 0.58/0.63 % Search class: FGHSS-FSLM32-DFFFFFNN
% 0.58/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.58/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.58/0.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.58/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.58/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.58/0.63 % Preprocessing time : 0.009 s
% 0.58/0.63 % Presaturation interreduction done
% 0.58/0.63
% 0.58/0.63 % Proof found!
% 0.58/0.63 % SZS status Unsatisfiable
% 0.58/0.63 % SZS output start CNFRefutation
% See solution above
% 0.58/0.64 % Parsed axioms : 804
% 0.58/0.64 % Removed by relevancy pruning/SinE : 0
% 0.58/0.64 % Initial clauses : 804
% 0.58/0.64 % Removed in clause preprocessing : 0
% 0.58/0.64 % Initial clauses in saturation : 804
% 0.58/0.64 % Processed clauses : 235
% 0.58/0.64 % ...of these trivial : 0
% 0.58/0.64 % ...subsumed : 7
% 0.58/0.64 % ...remaining for further processing : 228
% 0.58/0.64 % Other redundant clauses eliminated : 0
% 0.58/0.64 % Clauses deleted for lack of memory : 0
% 0.58/0.64 % Backward-subsumed : 0
% 0.58/0.64 % Backward-rewritten : 1
% 0.58/0.64 % Generated clauses : 0
% 0.58/0.64 % ...of the previous two non-redundant : 0
% 0.58/0.64 % ...aggressively subsumed : 0
% 0.58/0.64 % Contextual simplify-reflections : 0
% 0.58/0.64 % Paramodulations : 0
% 0.58/0.64 % Factorizations : 0
% 0.58/0.64 % NegExts : 0
% 0.58/0.64 % Equation resolutions : 0
% 0.58/0.64 % Disequality decompositions : 0
% 0.58/0.64 % Total rewrite steps : 2
% 0.58/0.64 % ...of those cached : 0
% 0.58/0.64 % Propositional unsat checks : 0
% 0.58/0.64 % Propositional check models : 0
% 0.58/0.64 % Propositional check unsatisfiable : 0
% 0.58/0.64 % Propositional clauses : 0
% 0.58/0.64 % Propositional clauses after purity: 0
% 0.58/0.64 % Propositional unsat core size : 0
% 0.58/0.64 % Propositional preprocessing time : 0.000
% 0.58/0.64 % Propositional encoding time : 0.000
% 0.58/0.64 % Propositional solver time : 0.000
% 0.58/0.64 % Success case prop preproc time : 0.000
% 0.58/0.64 % Success case prop encoding time : 0.000
% 0.58/0.64 % Success case prop solver time : 0.000
% 0.58/0.64 % Current number of processed clauses : 227
% 0.58/0.64 % Positive orientable unit clauses : 141
% 0.58/0.64 % Positive unorientable unit clauses: 0
% 0.58/0.64 % Negative unit clauses : 2
% 0.58/0.64 % Non-unit-clauses : 84
% 0.58/0.64 % Current number of unprocessed clauses: 569
% 0.58/0.64 % ...number of literals in the above : 1934
% 0.58/0.64 % Current number of archived formulas : 0
% 0.58/0.64 % Current number of archived clauses : 1
% 0.58/0.64 % Clause-clause subsumption calls (NU) : 1630
% 0.58/0.64 % Rec. Clause-clause subsumption calls : 1491
% 0.58/0.64 % Non-unit clause-clause subsumptions : 7
% 0.58/0.64 % Unit Clause-clause subsumption calls : 1
% 0.58/0.64 % Rewrite failures with RHS unbound : 0
% 0.58/0.64 % BW rewrite match attempts : 1
% 0.58/0.64 % BW rewrite match successes : 1
% 0.58/0.64 % Condensation attempts : 0
% 0.58/0.64 % Condensation successes : 0
% 0.58/0.64 % Termbank termtop insertions : 26966
% 0.58/0.64 % Search garbage collected termcells : 1571
% 0.58/0.64
% 0.58/0.64 % -------------------------------------------------
% 0.58/0.64 % User time : 0.038 s
% 0.58/0.64 % System time : 0.007 s
% 0.58/0.64 % Total time : 0.045 s
% 0.58/0.64 % Maximum resident set size: 5212 pages
% 0.58/0.64
% 0.58/0.64 % -------------------------------------------------
% 0.58/0.64 % User time : 0.140 s
% 0.58/0.64 % System time : 0.028 s
% 0.58/0.64 % Total time : 0.168 s
% 0.58/0.64 % Maximum resident set size: 5120 pages
% 0.58/0.64 % E exiting
%------------------------------------------------------------------------------