%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG370-1 : 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 : n012.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 11:55:59 AM UTC 2026
% Result : Unsatisfiable 1.35s 0.61s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 11 unt; 4 nHn; 19 RR)
% Number of literals : 36 ( 5 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_order__less__trans_0,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
cnf(cls_real__less__def_2,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_2) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(cls_CHAINED_0_01,axiom,
c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,plain,
( ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| c_HOL_Oord__class_Oless(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_order__less__trans_0]) ).
cnf(c_0_7,plain,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__less__def_2]) ).
cnf(c_0_8,plain,
( ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| c_HOL_Oord__class_Oless(X2,X3,X1) ),
c_0_6 ).
cnf(c_0_9,axiom,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_10,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Orderings_Opreorder ).
cnf(c_0_11,plain,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_7 ).
cnf(c_0_12,axiom,
c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_0_01 ).
cnf(c_0_13,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_14,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,v_e,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_15,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
c_0_13 ).
cnf(c_0_17,plain,
c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG370-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 13:17:52 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.34 Running first-order theorem proving
% 0.09/0.34 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
% 1.35/0.61 % Version: 3.5.1
% 1.35/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.35/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.35/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.35/0.61 % Starting new_bool_3 with 300s (1) cores
% 1.35/0.61 % Starting new_bool_1 with 300s (1) cores
% 1.35/0.61 % Starting sh5l with 300s (1) cores
% 1.35/0.61 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2444401 completed with status 0
% 1.35/0.61 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.35/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.35/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.35/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.35/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.35/0.61 % No SInE strategy applied
% 1.35/0.61 % Search class: FGHSM-FSLM32-MFFFFFNN
% 1.35/0.61 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.35/0.61 % Starting SubtermCWHack with 136s (1) cores
% 1.35/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.35/0.61 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 1.35/0.61 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 1.35/0.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 1.35/0.61 % G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 2444412 completed with status 0
% 1.35/0.61 % Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 1.35/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.35/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.35/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.35/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.35/0.61 % No SInE strategy applied
% 1.35/0.61 % Search class: FGHSM-FSLM32-MFFFFFNN
% 1.35/0.61 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.35/0.61 % Starting SubtermCWHack with 136s (1) cores
% 1.35/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.35/0.61 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 1.35/0.61 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 1.35/0.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 1.35/0.61 % Preprocessing time : 0.007 s
% 1.35/0.61 % Presaturation interreduction done
% 1.35/0.61
% 1.35/0.61 % Proof found!
% 1.35/0.61 % SZS status Unsatisfiable
% 1.35/0.61 % SZS output start CNFRefutation
% See solution above
% 1.35/0.61 % Parsed axioms : 614
% 1.35/0.61 % Removed by relevancy pruning/SinE : 0
% 1.35/0.61 % Initial clauses : 614
% 1.35/0.61 % Removed in clause preprocessing : 0
% 1.35/0.61 % Initial clauses in saturation : 614
% 1.35/0.61 % Processed clauses : 2194
% 1.35/0.61 % ...of these trivial : 75
% 1.35/0.61 % ...subsumed : 743
% 1.35/0.61 % ...remaining for further processing : 1376
% 1.35/0.61 % Other redundant clauses eliminated : 3
% 1.35/0.61 % Clauses deleted for lack of memory : 0
% 1.35/0.61 % Backward-subsumed : 11
% 1.35/0.61 % Backward-rewritten : 14
% 1.35/0.61 % Generated clauses : 9855
% 1.35/0.61 % ...of the previous two non-redundant : 8880
% 1.35/0.61 % ...aggressively subsumed : 0
% 1.35/0.61 % Contextual simplify-reflections : 0
% 1.35/0.61 % Paramodulations : 9843
% 1.35/0.61 % Factorizations : 2
% 1.35/0.61 % NegExts : 0
% 1.35/0.61 % Equation resolutions : 10
% 1.35/0.61 % Disequality decompositions : 0
% 1.35/0.61 % Total rewrite steps : 7410
% 1.35/0.61 % ...of those cached : 7039
% 1.35/0.61 % Propositional unsat checks : 0
% 1.35/0.61 % Propositional check models : 0
% 1.35/0.61 % Propositional check unsatisfiable : 0
% 1.35/0.61 % Propositional clauses : 0
% 1.35/0.61 % Propositional clauses after purity: 0
% 1.35/0.61 % Propositional unsat core size : 0
% 1.35/0.61 % Propositional preprocessing time : 0.000
% 1.35/0.61 % Propositional encoding time : 0.000
% 1.35/0.61 % Propositional solver time : 0.000
% 1.35/0.61 % Success case prop preproc time : 0.000
% 1.35/0.61 % Success case prop encoding time : 0.000
% 1.35/0.61 % Success case prop solver time : 0.000
% 1.35/0.61 % Current number of processed clauses : 795
% 1.35/0.61 % Positive orientable unit clauses : 217
% 1.35/0.61 % Positive unorientable unit clauses: 3
% 1.35/0.61 % Negative unit clauses : 80
% 1.35/0.61 % Non-unit-clauses : 495
% 1.35/0.61 % Current number of unprocessed clauses: 7851
% 1.35/0.61 % ...number of literals in the above : 22912
% 1.35/0.61 % Current number of archived formulas : 0
% 1.35/0.61 % Current number of archived clauses : 581
% 1.35/0.61 % Clause-clause subsumption calls (NU) : 105934
% 1.35/0.61 % Rec. Clause-clause subsumption calls : 74460
% 1.35/0.61 % Non-unit clause-clause subsumptions : 263
% 1.35/0.61 % Unit Clause-clause subsumption calls : 2231
% 1.35/0.61 % Rewrite failures with RHS unbound : 0
% 1.35/0.61 % BW rewrite match attempts : 257
% 1.35/0.61 % BW rewrite match successes : 39
% 1.35/0.61 % Condensation attempts : 0
% 1.35/0.61 % Condensation successes : 0
% 1.35/0.61 % Termbank termtop insertions : 200986
% 1.35/0.61 % Search garbage collected termcells : 1066
% 1.35/0.61
% 1.35/0.61 % -------------------------------------------------
% 1.35/0.61 % User time : 0.174 s
% 1.35/0.61 % System time : 0.012 s
% 1.35/0.61 % Total time : 0.186 s
% 1.35/0.61 % Maximum resident set size: 4820 pages
% 1.35/0.61
% 1.35/0.61 % -------------------------------------------------
% 1.35/0.61 % User time : 1.014 s
% 1.35/0.61 % System time : 0.080 s
% 1.35/0.61 % Total time : 1.094 s
% 1.35/0.61 % Maximum resident set size: 5376 pages
% 1.35/0.61 % E exiting
%------------------------------------------------------------------------------