%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG382-1 : 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 : n004.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 11:56:00 AM UTC 2026
% Result : Unsatisfiable 0.16s 5.76s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_real__mult__1_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
cnf(cls_CHAINED_0,axiom,
c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_3,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_4,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
c_0_3 ).
cnf(c_0_5,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
cls_real__mult__1_0 ).
cnf(c_0_6,axiom,
c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG382-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.59 % Computer : n004.cluster.edu
% 0.13/5.59 % Model : x86_64 x86_64
% 0.13/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.59 % Memory : 8046.5625MB
% 0.13/5.59 % OS : Linux 6.8.0-71-generic
% 0.13/5.59 % CPULimit : 300
% 0.13/5.59 % WCLimit : 300
% 0.13/5.59 % DateTime : Mon Sep 21 13:18:41 UTC 2026
% 0.13/5.59 % CPUTime :
% 0.13/5.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.65 Running first-order theorem proving
% 0.16/5.65 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
% 0.16/5.76 % Version: 3.5.1
% 0.16/5.76 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.16/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.76 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.16/5.76 % Starting new_bool_3 with 600s (2) cores
% 0.16/5.76 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.76 % Starting sh5l with 300s (1) cores
% 0.16/5.76 % new_bool_3 with pid 3221979 completed with status 0
% 0.16/5.76 % Result found by new_bool_3
% 0.16/5.76 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.16/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.76 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.16/5.76 % Starting new_bool_3 with 600s (2) cores
% 0.16/5.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/5.76 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/5.76 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.16/5.76 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.16/5.76 % Starting SubtermCWHack with 55s (1) cores
% 0.16/5.76 % Starting new_bool_3 with 61s (1) cores
% 0.16/5.76 % new_bool_3 with pid 3221984 completed with status 0
% 0.16/5.76 % Result found by new_bool_3
% 0.16/5.76 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.16/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.76 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.16/5.76 % Starting new_bool_3 with 600s (2) cores
% 0.16/5.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/5.76 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/5.76 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.16/5.76 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.16/5.76 % Starting SubtermCWHack with 55s (1) cores
% 0.16/5.76 % Starting new_bool_3 with 61s (1) cores
% 0.16/5.76 % Preprocessing time : 0.007 s
% 0.16/5.76 % Presaturation interreduction done
% 0.16/5.76
% 0.16/5.76 % Proof found!
% 0.16/5.76 % SZS status Unsatisfiable
% 0.16/5.76 % SZS output start CNFRefutation
% See solution above
% 0.16/5.76 % Parsed axioms : 992
% 0.16/5.76 % Removed by relevancy pruning/SinE : 579
% 0.16/5.76 % Initial clauses : 413
% 0.16/5.76 % Removed in clause preprocessing : 0
% 0.16/5.76 % Initial clauses in saturation : 413
% 0.16/5.76 % Processed clauses : 27
% 0.16/5.76 % ...of these trivial : 0
% 0.16/5.76 % ...subsumed : 0
% 0.16/5.76 % ...remaining for further processing : 27
% 0.16/5.76 % Other redundant clauses eliminated : 0
% 0.16/5.76 % Clauses deleted for lack of memory : 0
% 0.16/5.76 % Backward-subsumed : 0
% 0.16/5.76 % Backward-rewritten : 2
% 0.16/5.76 % Generated clauses : 0
% 0.16/5.76 % ...of the previous two non-redundant : 0
% 0.16/5.76 % ...aggressively subsumed : 0
% 0.16/5.76 % Contextual simplify-reflections : 0
% 0.16/5.76 % Paramodulations : 0
% 0.16/5.76 % Factorizations : 0
% 0.16/5.76 % NegExts : 0
% 0.16/5.76 % Equation resolutions : 0
% 0.16/5.76 % Disequality decompositions : 0
% 0.16/5.76 % Total rewrite steps : 2
% 0.16/5.76 % ...of those cached : 0
% 0.16/5.76 % Propositional unsat checks : 0
% 0.16/5.76 % Propositional check models : 0
% 0.16/5.76 % Propositional check unsatisfiable : 0
% 0.16/5.76 % Propositional clauses : 0
% 0.16/5.76 % Propositional clauses after purity: 0
% 0.16/5.76 % Propositional unsat core size : 0
% 0.16/5.76 % Propositional preprocessing time : 0.000
% 0.16/5.76 % Propositional encoding time : 0.000
% 0.16/5.76 % Propositional solver time : 0.000
% 0.16/5.76 % Success case prop preproc time : 0.000
% 0.16/5.76 % Success case prop encoding time : 0.000
% 0.16/5.76 % Success case prop solver time : 0.000
% 0.16/5.76 % Current number of processed clauses : 25
% 0.16/5.76 % Positive orientable unit clauses : 21
% 0.16/5.76 % Positive unorientable unit clauses: 0
% 0.16/5.76 % Negative unit clauses : 4
% 0.16/5.76 % Non-unit-clauses : 0
% 0.16/5.76 % Current number of unprocessed clauses: 386
% 0.16/5.76 % ...number of literals in the above : 1348
% 0.16/5.76 % Current number of archived formulas : 0
% 0.16/5.76 % Current number of archived clauses : 2
% 0.16/5.76 % Clause-clause subsumption calls (NU) : 0
% 0.16/5.76 % Rec. Clause-clause subsumption calls : 0
% 0.16/5.76 % Non-unit clause-clause subsumptions : 0
% 0.16/5.76 % Unit Clause-clause subsumption calls : 0
% 0.16/5.76 % Rewrite failures with RHS unbound : 0
% 0.16/5.76 % BW rewrite match attempts : 2
% 0.16/5.76 % BW rewrite match successes : 2
% 0.16/5.76 % Condensation attempts : 0
% 0.16/5.76 % Condensation successes : 0
% 0.16/5.76 % Termbank termtop insertions : 22110
% 0.16/5.76 % Search garbage collected termcells : 2820
% 0.16/5.76
% 0.16/5.76 % -------------------------------------------------
% 0.16/5.76 % User time : 0.019 s
% 0.16/5.76 % System time : 0.010 s
% 0.16/5.76 % Total time : 0.030 s
% 0.16/5.76 % Maximum resident set size: 4844 pages
% 0.16/5.76
% 0.16/5.76 % -------------------------------------------------
% 0.16/5.76 % User time : 0.073 s
% 0.16/5.76 % System time : 0.020 s
% 0.16/5.76 % Total time : 0.094 s
% 0.16/5.76 % Maximum resident set size: 5632 pages
% 0.16/5.76 % E exiting
%------------------------------------------------------------------------------