%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG379-1 : 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 : n002.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 1.16s 0.66s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 29 ( 18 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_abs__eq__0_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__eq__0_0) ).
cnf(cls_right__minus__eq_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
cnf(cls_conjecture_0,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
cnf(c_0_6,plain,
( c_HOL_Oabs__class_Oabs(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1) ),
inference(fof_simplification,[status(thm)],[cls_abs__eq__0_0]) ).
cnf(c_0_7,plain,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1)
| X2 = X3 ),
inference(fof_simplification,[status(thm)],[cls_right__minus__eq_0]) ).
cnf(c_0_8,plain,
( c_HOL_Oabs__class_Oabs(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1) ),
c_0_6 ).
cnf(c_0_9,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_10,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs ).
cnf(c_0_11,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_12,plain,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1)
| X2 = X3 ),
c_0_7 ).
cnf(c_0_13,plain,
c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_14,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add ).
cnf(c_0_15,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
c_0_11 ).
cnf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG379-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 13:21:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 1.16/0.66 % Version: 3.5.1
% 1.16/0.66 % Preprocessing class: FMLMSMSSSSSNFFN.
% 1.16/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.66 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 1.16/0.66 % Starting new_bool_3 with 300s (1) cores
% 1.16/0.66 % Starting new_bool_1 with 300s (1) cores
% 1.16/0.66 % Starting sh5l with 300s (1) cores
% 1.16/0.66 % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 3373106 completed with status 0
% 1.16/0.66 % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 1.16/0.66 % Preprocessing class: FMLMSMSSSSSNFFN.
% 1.16/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.66 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 1.16/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.16/0.66 % No SInE strategy applied
% 1.16/0.66 % Search class: FGHSM-SSLM32-MFFFFFNN
% 1.16/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.16/0.66 % Starting SubtermCWHack with 136s (1) cores
% 1.16/0.66 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 1.16/0.66 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.16/0.66 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 1.16/0.66 % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1.16/0.66 % G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with pid 3373116 completed with status 0
% 1.16/0.66 % Result found by G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I
% 1.16/0.66 % Preprocessing class: FMLMSMSSSSSNFFN.
% 1.16/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.66 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 1.16/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.16/0.66 % No SInE strategy applied
% 1.16/0.66 % Search class: FGHSM-SSLM32-MFFFFFNN
% 1.16/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.16/0.66 % Starting SubtermCWHack with 136s (1) cores
% 1.16/0.66 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 1.16/0.66 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.16/0.66 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 1.16/0.66 % Preprocessing time : 0.013 s
% 1.16/0.66 % Presaturation interreduction done
% 1.16/0.66
% 1.16/0.66 % Proof found!
% 1.16/0.66 % SZS status Unsatisfiable
% 1.16/0.66 % SZS output start CNFRefutation
% See solution above
% 1.16/0.66 % Parsed axioms : 1097
% 1.16/0.66 % Removed by relevancy pruning/SinE : 0
% 1.16/0.66 % Initial clauses : 1097
% 1.16/0.66 % Removed in clause preprocessing : 1
% 1.16/0.66 % Initial clauses in saturation : 1096
% 1.16/0.66 % Processed clauses : 1542
% 1.16/0.66 % ...of these trivial : 6
% 1.16/0.66 % ...subsumed : 181
% 1.16/0.66 % ...remaining for further processing : 1355
% 1.16/0.66 % Other redundant clauses eliminated : 14
% 1.16/0.66 % Clauses deleted for lack of memory : 0
% 1.16/0.66 % Backward-subsumed : 2
% 1.16/0.66 % Backward-rewritten : 20
% 1.16/0.66 % Generated clauses : 338
% 1.16/0.66 % ...of the previous two non-redundant : 277
% 1.16/0.66 % ...aggressively subsumed : 0
% 1.16/0.66 % Contextual simplify-reflections : 0
% 1.16/0.66 % Paramodulations : 318
% 1.16/0.66 % Factorizations : 0
% 1.16/0.66 % NegExts : 0
% 1.16/0.66 % Equation resolutions : 20
% 1.16/0.66 % Disequality decompositions : 0
% 1.16/0.66 % Total rewrite steps : 215
% 1.16/0.66 % ...of those cached : 153
% 1.16/0.66 % Propositional unsat checks : 0
% 1.16/0.66 % Propositional check models : 0
% 1.16/0.66 % Propositional check unsatisfiable : 0
% 1.16/0.66 % Propositional clauses : 0
% 1.16/0.66 % Propositional clauses after purity: 0
% 1.16/0.66 % Propositional unsat core size : 0
% 1.16/0.66 % Propositional preprocessing time : 0.000
% 1.16/0.66 % Propositional encoding time : 0.000
% 1.16/0.66 % Propositional solver time : 0.000
% 1.16/0.66 % Success case prop preproc time : 0.000
% 1.16/0.66 % Success case prop encoding time : 0.000
% 1.16/0.66 % Success case prop solver time : 0.000
% 1.16/0.66 % Current number of processed clauses : 351
% 1.16/0.66 % Positive orientable unit clauses : 208
% 1.16/0.66 % Positive unorientable unit clauses: 0
% 1.16/0.66 % Negative unit clauses : 21
% 1.16/0.66 % Non-unit-clauses : 122
% 1.16/0.66 % Current number of unprocessed clauses: 813
% 1.16/0.66 % ...number of literals in the above : 2410
% 1.16/0.66 % Current number of archived formulas : 0
% 1.16/0.66 % Current number of archived clauses : 1005
% 1.16/0.66 % Clause-clause subsumption calls (NU) : 96121
% 1.16/0.66 % Rec. Clause-clause subsumption calls : 38251
% 1.16/0.66 % Non-unit clause-clause subsumptions : 122
% 1.16/0.66 % Unit Clause-clause subsumption calls : 77
% 1.16/0.66 % Rewrite failures with RHS unbound : 0
% 1.16/0.66 % BW rewrite match attempts : 40
% 1.16/0.66 % BW rewrite match successes : 17
% 1.16/0.66 % Condensation attempts : 0
% 1.16/0.66 % Condensation successes : 0
% 1.16/0.66 % Termbank termtop insertions : 53133
% 1.16/0.66 % Search garbage collected termcells : 2083
% 1.16/0.66
% 1.16/0.66 % -------------------------------------------------
% 1.16/0.66 % User time : 0.154 s
% 1.16/0.66 % System time : 0.014 s
% 1.16/0.66 % Total time : 0.169 s
% 1.16/0.66 % Maximum resident set size: 5668 pages
% 1.16/0.66
% 1.16/0.66 % -------------------------------------------------
% 1.16/0.66 % User time : 0.778 s
% 1.16/0.66 % System time : 0.057 s
% 1.16/0.66 % Total time : 0.835 s
% 1.16/0.66 % Maximum resident set size: 5632 pages
% 1.16/0.66 % E exiting
%------------------------------------------------------------------------------