%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG384-1 : 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 11:56:01 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 3 nHn; 9 RR)
% Number of literals : 18 ( 6 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_zero__less__norm__iff_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_1) ).
cnf(cls_CHAINED_0,axiom,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(c_0_4,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_5,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_zero__less__norm__iff_1]) ).
cnf(c_0_6,plain,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_CHAINED_0]) ).
cnf(c_0_7,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
c_0_4 ).
cnf(c_0_8,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) ),
c_0_5 ).
cnf(c_0_9,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector ).
cnf(c_0_10,plain,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
c_0_6 ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG384-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.36 % Computer : n001.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Mon Sep 21 13:24:05 UTC 2026
% 0.11/5.36 % CPUTime :
% 0.11/5.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.40 Running first-order theorem proving
% 0.14/5.40 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
% 0.14/5.45 % Version: 3.5.1
% 0.14/5.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.45 % Starting sh5l with 300s (1) cores
% 0.14/5.45 % new_bool_3 with pid 3218067 completed with status 0
% 0.14/5.45 % Result found by new_bool_3
% 0.14/5.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.45 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.14/5.45 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.45 % Starting SubtermCWHack with 28s (1) cores
% 0.14/5.45 % SubtermCWHack with pid 3218070 completed with status 0
% 0.14/5.45 % Result found by SubtermCWHack
% 0.14/5.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.45 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.14/5.45 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.45 % Starting SubtermCWHack with 28s (1) cores
% 0.14/5.45 % Preprocessing time : 0.004 s
% 0.14/5.45
% 0.14/5.45 % Proof found!
% 0.14/5.45 % SZS status Unsatisfiable
% 0.14/5.45 % SZS output start CNFRefutation
% See solution above
% 0.14/5.45 % Parsed axioms : 574
% 0.14/5.45 % Removed by relevancy pruning/SinE : 359
% 0.14/5.45 % Initial clauses : 215
% 0.14/5.45 % Removed in clause preprocessing : 0
% 0.14/5.45 % Initial clauses in saturation : 215
% 0.14/5.45 % Processed clauses : 121
% 0.14/5.45 % ...of these trivial : 1
% 0.14/5.45 % ...subsumed : 31
% 0.14/5.45 % ...remaining for further processing : 89
% 0.14/5.45 % Other redundant clauses eliminated : 0
% 0.14/5.45 % Clauses deleted for lack of memory : 0
% 0.14/5.45 % Backward-subsumed : 0
% 0.14/5.45 % Backward-rewritten : 0
% 0.14/5.45 % Generated clauses : 275
% 0.14/5.45 % ...of the previous two non-redundant : 180
% 0.14/5.45 % ...aggressively subsumed : 0
% 0.14/5.45 % Contextual simplify-reflections : 0
% 0.14/5.45 % Paramodulations : 269
% 0.14/5.45 % Factorizations : 6
% 0.14/5.45 % NegExts : 0
% 0.14/5.45 % Equation resolutions : 0
% 0.14/5.45 % Disequality decompositions : 0
% 0.14/5.45 % Total rewrite steps : 158
% 0.14/5.45 % ...of those cached : 122
% 0.14/5.45 % Propositional unsat checks : 0
% 0.14/5.45 % Propositional check models : 0
% 0.14/5.45 % Propositional check unsatisfiable : 0
% 0.14/5.45 % Propositional clauses : 0
% 0.14/5.45 % Propositional clauses after purity: 0
% 0.14/5.45 % Propositional unsat core size : 0
% 0.14/5.45 % Propositional preprocessing time : 0.000
% 0.14/5.45 % Propositional encoding time : 0.000
% 0.14/5.45 % Propositional solver time : 0.000
% 0.14/5.45 % Success case prop preproc time : 0.000
% 0.14/5.45 % Success case prop encoding time : 0.000
% 0.14/5.45 % Success case prop solver time : 0.000
% 0.14/5.45 % Current number of processed clauses : 89
% 0.14/5.45 % Positive orientable unit clauses : 38
% 0.14/5.45 % Positive unorientable unit clauses: 3
% 0.14/5.45 % Negative unit clauses : 5
% 0.14/5.45 % Non-unit-clauses : 43
% 0.14/5.45 % Current number of unprocessed clauses: 273
% 0.14/5.45 % ...number of literals in the above : 955
% 0.14/5.45 % Current number of archived formulas : 0
% 0.14/5.45 % Current number of archived clauses : 0
% 0.14/5.45 % Clause-clause subsumption calls (NU) : 149
% 0.14/5.45 % Rec. Clause-clause subsumption calls : 140
% 0.14/5.45 % Non-unit clause-clause subsumptions : 23
% 0.14/5.45 % Unit Clause-clause subsumption calls : 8
% 0.14/5.45 % Rewrite failures with RHS unbound : 0
% 0.14/5.45 % BW rewrite match attempts : 55
% 0.14/5.45 % BW rewrite match successes : 8
% 0.14/5.45 % Condensation attempts : 0
% 0.14/5.45 % Condensation successes : 0
% 0.14/5.45 % Termbank termtop insertions : 16808
% 0.14/5.45 % Search garbage collected termcells : 1625
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.013 s
% 0.14/5.45 % System time : 0.007 s
% 0.14/5.45 % Total time : 0.020 s
% 0.14/5.45 % Maximum resident set size: 4268 pages
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.030 s
% 0.14/5.45 % System time : 0.011 s
% 0.14/5.45 % Total time : 0.041 s
% 0.14/5.45 % Maximum resident set size: 5120 pages
% 0.14/5.45 % E exiting
%------------------------------------------------------------------------------