%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG341-1 : 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 : n014.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 11:55:56 AM UTC 2026
% Result : Unsatisfiable 0.29s 0.68s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__le__trans_0,axiom,
( ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
cnf(cls_CHAINED_0_01,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_norm__ge__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(c_0_5,plain,
( ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__le__trans_0]) ).
cnf(c_0_6,plain,
( ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_5 ).
cnf(c_0_7,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
cls_CHAINED_0_01 ).
cnf(c_0_8,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_norm__ge__zero_0]) ).
cnf(c_0_9,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_10,plain,
( ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(X1,v_r,tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) ),
c_0_8 ).
cnf(c_0_12,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector ).
cnf(c_0_13,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
c_0_9 ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG341-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n014.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Mon Sep 21 13:16:19 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.17/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.55 Running first-order theorem proving
% 0.22/0.55 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
% 0.29/0.68 % Version: 3.5.1
% 0.29/0.68 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.29/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.29/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.29/0.68 % Starting new_bool_1 with 300s (1) cores
% 0.29/0.68 % Starting sh5l with 300s (1) cores
% 0.29/0.68 % new_bool_3 with pid 4146197 completed with status 0
% 0.29/0.68 % Result found by new_bool_3
% 0.29/0.68 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.29/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.29/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.29/0.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.29/0.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.29/0.68 % Search class: FGUSF-FFLM32-MFFFFFNN
% 0.29/0.68 % partial match(1): FGUSF-FFMM32-MFFFFFNN
% 0.29/0.68 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.68 % Starting SubtermCWHack with 31s (1) cores
% 0.29/0.68 % SubtermCWHack with pid 4146203 completed with status 0
% 0.29/0.68 % Result found by SubtermCWHack
% 0.29/0.68 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.29/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.29/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.29/0.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.29/0.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.29/0.68 % Search class: FGUSF-FFLM32-MFFFFFNN
% 0.29/0.68 % partial match(1): FGUSF-FFMM32-MFFFFFNN
% 0.29/0.68 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.68 % Starting SubtermCWHack with 31s (1) cores
% 0.29/0.68 % Preprocessing time : 0.004 s
% 0.29/0.68
% 0.29/0.68 % Proof found!
% 0.29/0.68 % SZS status Unsatisfiable
% 0.29/0.68 % SZS output start CNFRefutation
% See solution above
% 0.29/0.68 % Parsed axioms : 595
% 0.29/0.68 % Removed by relevancy pruning/SinE : 431
% 0.29/0.68 % Initial clauses : 164
% 0.29/0.68 % Removed in clause preprocessing : 0
% 0.29/0.68 % Initial clauses in saturation : 164
% 0.29/0.68 % Processed clauses : 326
% 0.29/0.68 % ...of these trivial : 72
% 0.29/0.68 % ...subsumed : 96
% 0.29/0.68 % ...remaining for further processing : 158
% 0.29/0.68 % Other redundant clauses eliminated : 66
% 0.29/0.68 % Clauses deleted for lack of memory : 0
% 0.29/0.68 % Backward-subsumed : 0
% 0.29/0.68 % Backward-rewritten : 9
% 0.29/0.68 % Generated clauses : 988
% 0.29/0.68 % ...of the previous two non-redundant : 453
% 0.29/0.68 % ...aggressively subsumed : 0
% 0.29/0.68 % Contextual simplify-reflections : 0
% 0.29/0.68 % Paramodulations : 918
% 0.29/0.68 % Factorizations : 2
% 0.29/0.68 % NegExts : 0
% 0.29/0.68 % Equation resolutions : 68
% 0.29/0.68 % Disequality decompositions : 0
% 0.29/0.68 % Total rewrite steps : 1175
% 0.29/0.68 % ...of those cached : 1028
% 0.29/0.68 % Propositional unsat checks : 0
% 0.29/0.68 % Propositional check models : 0
% 0.29/0.68 % Propositional check unsatisfiable : 0
% 0.29/0.68 % Propositional clauses : 0
% 0.29/0.68 % Propositional clauses after purity: 0
% 0.29/0.68 % Propositional unsat core size : 0
% 0.29/0.68 % Propositional preprocessing time : 0.000
% 0.29/0.68 % Propositional encoding time : 0.000
% 0.29/0.68 % Propositional solver time : 0.000
% 0.29/0.68 % Success case prop preproc time : 0.000
% 0.29/0.68 % Success case prop encoding time : 0.000
% 0.29/0.68 % Success case prop solver time : 0.000
% 0.29/0.68 % Current number of processed clauses : 149
% 0.29/0.68 % Positive orientable unit clauses : 80
% 0.29/0.68 % Positive unorientable unit clauses: 6
% 0.29/0.68 % Negative unit clauses : 1
% 0.29/0.68 % Non-unit-clauses : 62
% 0.29/0.68 % Current number of unprocessed clauses: 266
% 0.29/0.68 % ...number of literals in the above : 550
% 0.29/0.68 % Current number of archived formulas : 0
% 0.29/0.68 % Current number of archived clauses : 9
% 0.29/0.68 % Clause-clause subsumption calls (NU) : 376
% 0.29/0.68 % Rec. Clause-clause subsumption calls : 366
% 0.29/0.68 % Non-unit clause-clause subsumptions : 77
% 0.29/0.68 % Unit Clause-clause subsumption calls : 14
% 0.29/0.68 % Rewrite failures with RHS unbound : 0
% 0.29/0.68 % BW rewrite match attempts : 212
% 0.29/0.68 % BW rewrite match successes : 39
% 0.29/0.68 % Condensation attempts : 0
% 0.29/0.68 % Condensation successes : 0
% 0.29/0.68 % Termbank termtop insertions : 17358
% 0.29/0.68 % Search garbage collected termcells : 1601
% 0.29/0.68
% 0.29/0.68 % -------------------------------------------------
% 0.29/0.68 % User time : 0.028 s
% 0.29/0.68 % System time : 0.013 s
% 0.29/0.68 % Total time : 0.041 s
% 0.29/0.68 % Maximum resident set size: 4296 pages
% 0.29/0.68
% 0.29/0.68 % -------------------------------------------------
% 0.29/0.68 % User time : 0.053 s
% 0.29/0.68 % System time : 0.021 s
% 0.29/0.68 % Total time : 0.074 s
% 0.29/0.68 % Maximum resident set size: 5120 pages
% 0.29/0.68 % E exiting
%------------------------------------------------------------------------------