%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG340-1 : 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 : n013.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 12:01:58 PM UTC 2026
% Result : Unsatisfiable 0.88s 0.60s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 34 ( 8 equ; 16 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 22 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_order__root_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__root_1) ).
cnf(cls_norm__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__zero_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
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(cls_real__less__def_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
cnf(cls_real__of__preal__zero__less_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__of__preal__zero__less_0) ).
cnf(c_0_7,plain,
( ~ class_Ring__and__Field_Oidom(X1)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(fof_simplification,[status(thm)],[cls_order__root_1]) ).
cnf(c_0_8,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_norm__zero_0]) ).
cnf(c_0_9,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Oidom(X1)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
c_0_7 ).
cnf(c_0_11,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Oidom ).
cnf(c_0_12,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_8 ).
cnf(c_0_13,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector ).
cnf(c_0_14,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__less__def_0]) ).
cnf(c_0_15,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
c_0_9 ).
cnf(c_0_16,plain,
c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_14 ).
cnf(c_0_19,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
cls_real__of__preal__zero__less_0 ).
cnf(c_0_20,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG340-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n013.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 13:16:05 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.88/0.60 % Version: 3.5.1
% 0.88/0.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.88/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.88/0.60 % Starting sh5l with 300s (1) cores
% 0.88/0.60 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 846087 completed with status 0
% 0.88/0.60 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.88/0.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.88/0.60 % No SInE strategy applied
% 0.88/0.60 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.88/0.60 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.88/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.88/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.88/0.60 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.88/0.60 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.88/0.60 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.88/0.60 % U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 846095 completed with status 0
% 0.88/0.60 % Result found by U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
% 0.88/0.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.88/0.60 % No SInE strategy applied
% 0.88/0.60 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.88/0.60 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.88/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.88/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.88/0.60 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.88/0.60 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.88/0.60 % Preprocessing time : 0.010 s
% 0.88/0.60 % Presaturation interreduction done
% 0.88/0.60
% 0.88/0.60 % Proof found!
% 0.88/0.60 % SZS status Unsatisfiable
% 0.88/0.60 % SZS output start CNFRefutation
% See solution above
% 0.88/0.60 % Parsed axioms : 552
% 0.88/0.60 % Removed by relevancy pruning/SinE : 0
% 0.88/0.60 % Initial clauses : 552
% 0.88/0.60 % Removed in clause preprocessing : 0
% 0.88/0.60 % Initial clauses in saturation : 552
% 0.88/0.60 % Processed clauses : 1131
% 0.88/0.60 % ...of these trivial : 3
% 0.88/0.60 % ...subsumed : 135
% 0.88/0.60 % ...remaining for further processing : 993
% 0.88/0.60 % Other redundant clauses eliminated : 0
% 0.88/0.60 % Clauses deleted for lack of memory : 0
% 0.88/0.60 % Backward-subsumed : 9
% 0.88/0.60 % Backward-rewritten : 1
% 0.88/0.60 % Generated clauses : 556
% 0.88/0.60 % ...of the previous two non-redundant : 465
% 0.88/0.60 % ...aggressively subsumed : 0
% 0.88/0.60 % Contextual simplify-reflections : 2
% 0.88/0.60 % Paramodulations : 546
% 0.88/0.60 % Factorizations : 2
% 0.88/0.60 % NegExts : 0
% 0.88/0.60 % Equation resolutions : 1
% 0.88/0.60 % Disequality decompositions : 0
% 0.88/0.60 % Total rewrite steps : 204
% 0.88/0.60 % ...of those cached : 165
% 0.88/0.60 % Propositional unsat checks : 0
% 0.88/0.60 % Propositional check models : 0
% 0.88/0.60 % Propositional check unsatisfiable : 0
% 0.88/0.60 % Propositional clauses : 0
% 0.88/0.60 % Propositional clauses after purity: 0
% 0.88/0.60 % Propositional unsat core size : 0
% 0.88/0.60 % Propositional preprocessing time : 0.000
% 0.88/0.60 % Propositional encoding time : 0.000
% 0.88/0.60 % Propositional solver time : 0.000
% 0.88/0.60 % Success case prop preproc time : 0.000
% 0.88/0.60 % Success case prop encoding time : 0.000
% 0.88/0.60 % Success case prop solver time : 0.000
% 0.88/0.60 % Current number of processed clauses : 484
% 0.88/0.60 % Positive orientable unit clauses : 257
% 0.88/0.60 % Positive unorientable unit clauses: 1
% 0.88/0.60 % Negative unit clauses : 10
% 0.88/0.60 % Non-unit-clauses : 216
% 0.88/0.60 % Current number of unprocessed clauses: 372
% 0.88/0.60 % ...number of literals in the above : 1349
% 0.88/0.60 % Current number of archived formulas : 0
% 0.88/0.60 % Current number of archived clauses : 509
% 0.88/0.60 % Clause-clause subsumption calls (NU) : 42664
% 0.88/0.60 % Rec. Clause-clause subsumption calls : 21902
% 0.88/0.60 % Non-unit clause-clause subsumptions : 95
% 0.88/0.60 % Unit Clause-clause subsumption calls : 746
% 0.88/0.60 % Rewrite failures with RHS unbound : 0
% 0.88/0.60 % BW rewrite match attempts : 666
% 0.88/0.60 % BW rewrite match successes : 15
% 0.88/0.60 % Condensation attempts : 0
% 0.88/0.60 % Condensation successes : 0
% 0.88/0.60 % Termbank termtop insertions : 35132
% 0.88/0.60 % Search garbage collected termcells : 1200
% 0.88/0.60
% 0.88/0.60 % -------------------------------------------------
% 0.88/0.60 % User time : 0.115 s
% 0.88/0.60 % System time : 0.015 s
% 0.88/0.60 % Total time : 0.130 s
% 0.88/0.60 % Maximum resident set size: 4736 pages
% 0.88/0.60
% 0.88/0.60 % -------------------------------------------------
% 0.88/0.60 % User time : 0.523 s
% 0.88/0.60 % System time : 0.050 s
% 0.88/0.60 % Total time : 0.573 s
% 0.88/0.60 % Maximum resident set size: 5120 pages
% 0.88/0.60 % E exiting
%------------------------------------------------------------------------------