%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG414-1 : 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 : n009.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 11:56:04 AM UTC 2026
% Result : Unsatisfiable 0.43s 0.52s
% Output : CNFRefutation 0.43s
% 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_CHAINED_0_01,axiom,
c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(c_0_2,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_CHAINED_0]) ).
cnf(c_0_3,axiom,
c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
cls_CHAINED_0_01 ).
cnf(c_0_4,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex),
c_0_2 ).
cnf(c_0_5,plain,
$false,
inference(sr,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG414-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n009.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 13:20:27 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.43/0.52 % Version: 3.5.1
% 0.43/0.52 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.43/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.52 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.43/0.52 % Starting new_bool_3 with 600s (2) cores
% 0.43/0.52 % Starting new_bool_1 with 600s (2) cores
% 0.43/0.52 % Starting sh5l with 300s (1) cores
% 0.43/0.52 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 1849179 completed with status 0
% 0.43/0.52 % Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.43/0.52 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.43/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.52 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.43/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.52 % No SInE strategy applied
% 0.43/0.52 % Search class: FGHSF-FSLM32-DFFFFFNN
% 0.43/0.52 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.43/0.52 % Starting SubtermCWHack with 82s (1) cores
% 0.43/0.52 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 91s (1) cores
% 0.43/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 82s (1) cores
% 0.43/0.52 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 1849197 completed with status 0
% 0.43/0.52 % Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.43/0.52 % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.43/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.52 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.43/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.52 % No SInE strategy applied
% 0.43/0.52 % Search class: FGHSF-FSLM32-DFFFFFNN
% 0.43/0.52 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.43/0.52 % Starting SubtermCWHack with 82s (1) cores
% 0.43/0.52 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 91s (1) cores
% 0.43/0.52 % Preprocessing time : 0.013 s
% 0.43/0.52 % Presaturation interreduction done
% 0.43/0.52
% 0.43/0.52 % Proof found!
% 0.43/0.52 % SZS status Unsatisfiable
% 0.43/0.52 % SZS output start CNFRefutation
% See solution above
% 0.43/0.52 % Parsed axioms : 836
% 0.43/0.52 % Removed by relevancy pruning/SinE : 0
% 0.43/0.52 % Initial clauses : 836
% 0.43/0.52 % Removed in clause preprocessing : 0
% 0.43/0.52 % Initial clauses in saturation : 836
% 0.43/0.52 % Processed clauses : 410
% 0.43/0.52 % ...of these trivial : 0
% 0.43/0.52 % ...subsumed : 27
% 0.43/0.52 % ...remaining for further processing : 382
% 0.43/0.52 % Other redundant clauses eliminated : 0
% 0.43/0.52 % Clauses deleted for lack of memory : 0
% 0.43/0.52 % Backward-subsumed : 2
% 0.43/0.52 % Backward-rewritten : 0
% 0.43/0.52 % Generated clauses : 0
% 0.43/0.52 % ...of the previous two non-redundant : 0
% 0.43/0.52 % ...aggressively subsumed : 0
% 0.43/0.52 % Contextual simplify-reflections : 0
% 0.43/0.52 % Paramodulations : 0
% 0.43/0.52 % Factorizations : 0
% 0.43/0.52 % NegExts : 0
% 0.43/0.52 % Equation resolutions : 0
% 0.43/0.52 % Disequality decompositions : 0
% 0.43/0.52 % Total rewrite steps : 0
% 0.43/0.52 % ...of those cached : 0
% 0.43/0.52 % Propositional unsat checks : 0
% 0.43/0.52 % Propositional check models : 0
% 0.43/0.52 % Propositional check unsatisfiable : 0
% 0.43/0.52 % Propositional clauses : 0
% 0.43/0.52 % Propositional clauses after purity: 0
% 0.43/0.52 % Propositional unsat core size : 0
% 0.43/0.52 % Propositional preprocessing time : 0.000
% 0.43/0.52 % Propositional encoding time : 0.000
% 0.43/0.52 % Propositional solver time : 0.000
% 0.43/0.52 % Success case prop preproc time : 0.000
% 0.43/0.52 % Success case prop encoding time : 0.000
% 0.43/0.52 % Success case prop solver time : 0.000
% 0.43/0.52 % Current number of processed clauses : 380
% 0.43/0.52 % Positive orientable unit clauses : 126
% 0.43/0.52 % Positive unorientable unit clauses: 0
% 0.43/0.52 % Negative unit clauses : 5
% 0.43/0.52 % Non-unit-clauses : 249
% 0.43/0.52 % Current number of unprocessed clauses: 426
% 0.43/0.52 % ...number of literals in the above : 1308
% 0.43/0.52 % Current number of archived formulas : 0
% 0.43/0.52 % Current number of archived clauses : 2
% 0.43/0.52 % Clause-clause subsumption calls (NU) : 7372
% 0.43/0.52 % Rec. Clause-clause subsumption calls : 6012
% 0.43/0.52 % Non-unit clause-clause subsumptions : 24
% 0.43/0.52 % Unit Clause-clause subsumption calls : 193
% 0.43/0.52 % Rewrite failures with RHS unbound : 0
% 0.43/0.52 % BW rewrite match attempts : 0
% 0.43/0.52 % BW rewrite match successes : 0
% 0.43/0.52 % Condensation attempts : 0
% 0.43/0.52 % Condensation successes : 0
% 0.43/0.52 % Termbank termtop insertions : 26544
% 0.43/0.52 % Search garbage collected termcells : 1503
% 0.43/0.52
% 0.43/0.52 % -------------------------------------------------
% 0.43/0.52 % User time : 0.043 s
% 0.43/0.52 % System time : 0.009 s
% 0.43/0.52 % Total time : 0.053 s
% 0.43/0.52 % Maximum resident set size: 5252 pages
% 0.43/0.52
% 0.43/0.52 % -------------------------------------------------
% 0.43/0.52 % User time : 0.128 s
% 0.43/0.52 % System time : 0.025 s
% 0.43/0.52 % Total time : 0.152 s
% 0.43/0.52 % Maximum resident set size: 5120 pages
% 0.43/0.52 % E exiting
%------------------------------------------------------------------------------