%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG410-1 : 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 : n011.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 12:02:06 PM UTC 2026
% Result : Unsatisfiable 0.30s 0.75s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 3 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_2,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_3,axiom,
c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_4,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
c_0_2 ).
cnf(c_0_5,plain,
$false,
inference(sr,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG410-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.47 % Computer : n011.cluster.edu
% 0.19/0.47 % Model : x86_64 x86_64
% 0.19/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.47 % Memory : 8046.5625MB
% 0.19/0.47 % OS : Linux 6.8.0-71-generic
% 0.19/0.47 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Mon Sep 21 13:19:40 UTC 2026
% 0.19/0.48 % CPUTime :
% 0.19/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.57 Running first-order theorem proving
% 0.23/0.57 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
% 0.30/0.75 % Version: 3.5.1
% 0.30/0.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.30/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.30/0.75 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.75 % Starting new_bool_1 with 300s (1) cores
% 0.30/0.75 % Starting sh5l with 300s (1) cores
% 0.30/0.75 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1998602 completed with status 0
% 0.30/0.75 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.30/0.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.30/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.30/0.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.30/0.75 % No SInE strategy applied
% 0.30/0.75 % Search class: FGHSS-FSLM32-DFFFFFNN
% 0.30/0.75 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.30/0.75 % Starting SubtermCWHack with 136s (1) cores
% 0.30/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.30/0.75 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.30/0.75 % Starting new_bool_3 with 136s (1) cores
% 0.30/0.75 % Starting new_bool_1 with 136s (1) cores
% 0.30/0.75 % new_bool_3 with pid 1998609 completed with status 0
% 0.30/0.75 % Result found by new_bool_3
% 0.30/0.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.30/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.30/0.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.30/0.75 % No SInE strategy applied
% 0.30/0.75 % Search class: FGHSS-FSLM32-DFFFFFNN
% 0.30/0.75 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.30/0.75 % Starting SubtermCWHack with 136s (1) cores
% 0.30/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.30/0.75 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.30/0.75 % Starting new_bool_3 with 136s (1) cores
% 0.30/0.75 % Preprocessing time : 0.016 s
% 0.30/0.75 % Presaturation interreduction done
% 0.30/0.75
% 0.30/0.75 % Proof found!
% 0.30/0.75 % SZS status Unsatisfiable
% 0.30/0.75 % SZS output start CNFRefutation
% See solution above
% 0.30/0.75 % Parsed axioms : 773
% 0.30/0.75 % Removed by relevancy pruning/SinE : 0
% 0.30/0.75 % Initial clauses : 773
% 0.30/0.75 % Removed in clause preprocessing : 0
% 0.30/0.75 % Initial clauses in saturation : 773
% 0.30/0.75 % Processed clauses : 255
% 0.30/0.75 % ...of these trivial : 0
% 0.30/0.75 % ...subsumed : 9
% 0.30/0.75 % ...remaining for further processing : 245
% 0.30/0.75 % Other redundant clauses eliminated : 0
% 0.30/0.75 % Clauses deleted for lack of memory : 0
% 0.30/0.75 % Backward-subsumed : 0
% 0.30/0.75 % Backward-rewritten : 0
% 0.30/0.75 % Generated clauses : 0
% 0.30/0.75 % ...of the previous two non-redundant : 0
% 0.30/0.75 % ...aggressively subsumed : 0
% 0.30/0.75 % Contextual simplify-reflections : 0
% 0.30/0.75 % Paramodulations : 0
% 0.30/0.75 % Factorizations : 0
% 0.30/0.75 % NegExts : 0
% 0.30/0.75 % Equation resolutions : 0
% 0.30/0.75 % Disequality decompositions : 0
% 0.30/0.75 % Total rewrite steps : 0
% 0.30/0.75 % ...of those cached : 0
% 0.30/0.75 % Propositional unsat checks : 0
% 0.30/0.75 % Propositional check models : 0
% 0.30/0.75 % Propositional check unsatisfiable : 0
% 0.30/0.75 % Propositional clauses : 0
% 0.30/0.75 % Propositional clauses after purity: 0
% 0.30/0.75 % Propositional unsat core size : 0
% 0.30/0.75 % Propositional preprocessing time : 0.000
% 0.30/0.75 % Propositional encoding time : 0.000
% 0.30/0.75 % Propositional solver time : 0.000
% 0.30/0.75 % Success case prop preproc time : 0.000
% 0.30/0.75 % Success case prop encoding time : 0.000
% 0.30/0.75 % Success case prop solver time : 0.000
% 0.30/0.75 % Current number of processed clauses : 245
% 0.30/0.75 % Positive orientable unit clauses : 122
% 0.30/0.75 % Positive unorientable unit clauses: 0
% 0.30/0.75 % Negative unit clauses : 5
% 0.30/0.75 % Non-unit-clauses : 118
% 0.30/0.75 % Current number of unprocessed clauses: 518
% 0.30/0.75 % ...number of literals in the above : 1869
% 0.30/0.75 % Current number of archived formulas : 0
% 0.30/0.75 % Current number of archived clauses : 0
% 0.30/0.75 % Clause-clause subsumption calls (NU) : 3863
% 0.30/0.75 % Rec. Clause-clause subsumption calls : 3103
% 0.30/0.75 % Non-unit clause-clause subsumptions : 8
% 0.30/0.75 % Unit Clause-clause subsumption calls : 1
% 0.30/0.75 % Rewrite failures with RHS unbound : 0
% 0.30/0.75 % BW rewrite match attempts : 0
% 0.30/0.75 % BW rewrite match successes : 0
% 0.30/0.75 % Condensation attempts : 0
% 0.30/0.75 % Condensation successes : 0
% 0.30/0.75 % Termbank termtop insertions : 27691
% 0.30/0.75 % Search garbage collected termcells : 1570
% 0.30/0.75
% 0.30/0.75 % -------------------------------------------------
% 0.30/0.75 % User time : 0.048 s
% 0.30/0.75 % System time : 0.012 s
% 0.30/0.75 % Total time : 0.060 s
% 0.30/0.75 % Maximum resident set size: 4688 pages
% 0.30/0.75
% 0.30/0.75 % -------------------------------------------------
% 0.30/0.75 % User time : 0.144 s
% 0.30/0.75 % System time : 0.037 s
% 0.30/0.75 % Total time : 0.181 s
% 0.30/0.75 % Maximum resident set size: 5120 pages
% 0.30/0.75 % E exiting
%------------------------------------------------------------------------------