%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG359-1 : 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 : n016.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 12:02:00 PM UTC 2026
% Result : Unsatisfiable 2.42s 0.80s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 11 RR)
% Number of literals : 23 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_power__divide_0,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__divide_0) ).
cnf(cls_complex__of__real__power_0,axiom,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Power_Opower__class_Opower(X1,X2,tc_RealDef_Oreal),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__power_0) ).
cnf(cls_CHAINED_0,axiom,
c_Power_Opower__class_Opower(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),v_na____,tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
cnf(c_0_6,plain,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_power__divide_0]) ).
cnf(c_0_7,axiom,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Power_Opower__class_Opower(X1,X2,tc_RealDef_Oreal),tc_Complex_Ocomplex),
cls_complex__of__real__power_0 ).
cnf(c_0_8,axiom,
c_Power_Opower__class_Opower(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),v_na____,tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
cls_CHAINED_0 ).
cnf(c_0_9,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1) ),
c_0_6 ).
cnf(c_0_11,plain,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ofield ).
cnf(c_0_13,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero ).
cnf(c_0_14,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
c_0_9 ).
cnf(c_0_15,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG359-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:22:08 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 2.42/0.80 % Version: 3.5.1
% 2.42/0.80 % Preprocessing class: FMLSSMSSSSSNFFN.
% 2.42/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.42/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 2.42/0.80 % Starting new_bool_3 with 600s (2) cores
% 2.42/0.80 % Starting new_bool_1 with 600s (2) cores
% 2.42/0.80 % Starting sh5l with 300s (1) cores
% 2.42/0.80 % new_bool_3 with pid 2507581 completed with status 0
% 2.42/0.80 % Result found by new_bool_3
% 2.42/0.80 % Preprocessing class: FMLSSMSSSSSNFFN.
% 2.42/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.42/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 2.42/0.80 % Starting new_bool_3 with 600s (2) cores
% 2.42/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.42/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.42/0.80 % Search class: FGHSM-FSLM32-MFFFFFNN
% 2.42/0.80 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 2.42/0.80 % Starting SubtermCWHack with 55s (1) cores
% 2.42/0.80 % Starting new_bool_3 with 61s (1) cores
% 2.42/0.80 % new_bool_3 with pid 2507585 completed with status 0
% 2.42/0.80 % Result found by new_bool_3
% 2.42/0.80 % Preprocessing class: FMLSSMSSSSSNFFN.
% 2.42/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.42/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 2.42/0.80 % Starting new_bool_3 with 600s (2) cores
% 2.42/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.42/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.42/0.80 % Search class: FGHSM-FSLM32-MFFFFFNN
% 2.42/0.80 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 2.42/0.80 % Starting SubtermCWHack with 55s (1) cores
% 2.42/0.80 % Starting new_bool_3 with 61s (1) cores
% 2.42/0.80 % Preprocessing time : 0.010 s
% 2.42/0.80 % Presaturation interreduction done
% 2.42/0.80
% 2.42/0.80 % Proof found!
% 2.42/0.80 % SZS status Unsatisfiable
% 2.42/0.80 % SZS output start CNFRefutation
% See solution above
% 2.42/0.80 % Parsed axioms : 1023
% 2.42/0.80 % Removed by relevancy pruning/SinE : 650
% 2.42/0.80 % Initial clauses : 373
% 2.42/0.80 % Removed in clause preprocessing : 0
% 2.42/0.80 % Initial clauses in saturation : 373
% 2.42/0.80 % Processed clauses : 1608
% 2.42/0.80 % ...of these trivial : 65
% 2.42/0.80 % ...subsumed : 636
% 2.42/0.80 % ...remaining for further processing : 907
% 2.42/0.80 % Other redundant clauses eliminated : 52
% 2.42/0.80 % Clauses deleted for lack of memory : 0
% 2.42/0.80 % Backward-subsumed : 12
% 2.42/0.80 % Backward-rewritten : 76
% 2.42/0.80 % Generated clauses : 5612
% 2.42/0.80 % ...of the previous two non-redundant : 3966
% 2.42/0.80 % ...aggressively subsumed : 0
% 2.42/0.80 % Contextual simplify-reflections : 2
% 2.42/0.80 % Paramodulations : 5554
% 2.42/0.80 % Factorizations : 4
% 2.42/0.80 % NegExts : 0
% 2.42/0.80 % Equation resolutions : 54
% 2.42/0.80 % Disequality decompositions : 0
% 2.42/0.80 % Total rewrite steps : 6598
% 2.42/0.80 % ...of those cached : 6046
% 2.42/0.80 % Propositional unsat checks : 0
% 2.42/0.80 % Propositional check models : 0
% 2.42/0.80 % Propositional check unsatisfiable : 0
% 2.42/0.80 % Propositional clauses : 0
% 2.42/0.80 % Propositional clauses after purity: 0
% 2.42/0.80 % Propositional unsat core size : 0
% 2.42/0.80 % Propositional preprocessing time : 0.000
% 2.42/0.80 % Propositional encoding time : 0.000
% 2.42/0.80 % Propositional solver time : 0.000
% 2.42/0.80 % Success case prop preproc time : 0.000
% 2.42/0.80 % Success case prop encoding time : 0.000
% 2.42/0.80 % Success case prop solver time : 0.000
% 2.42/0.80 % Current number of processed clauses : 495
% 2.42/0.80 % Positive orientable unit clauses : 129
% 2.42/0.80 % Positive unorientable unit clauses: 4
% 2.42/0.80 % Negative unit clauses : 10
% 2.42/0.80 % Non-unit-clauses : 352
% 2.42/0.80 % Current number of unprocessed clauses: 3026
% 2.42/0.80 % ...number of literals in the above : 8478
% 2.42/0.80 % Current number of archived formulas : 0
% 2.42/0.80 % Current number of archived clauses : 412
% 2.42/0.80 % Clause-clause subsumption calls (NU) : 14663
% 2.42/0.80 % Rec. Clause-clause subsumption calls : 6504
% 2.42/0.80 % Non-unit clause-clause subsumptions : 429
% 2.42/0.80 % Unit Clause-clause subsumption calls : 341
% 2.42/0.80 % Rewrite failures with RHS unbound : 0
% 2.42/0.80 % BW rewrite match attempts : 282
% 2.42/0.80 % BW rewrite match successes : 104
% 2.42/0.80 % Condensation attempts : 0
% 2.42/0.80 % Condensation successes : 0
% 2.42/0.80 % Termbank termtop insertions : 114432
% 2.42/0.80 % Search garbage collected termcells : 2773
% 2.42/0.80
% 2.42/0.80 % -------------------------------------------------
% 2.42/0.80 % User time : 0.266 s
% 2.42/0.80 % System time : 0.018 s
% 2.42/0.80 % Total time : 0.284 s
% 2.42/0.80 % Maximum resident set size: 4840 pages
% 2.42/0.80
% 2.42/0.80 % -------------------------------------------------
% 2.42/0.80 % User time : 0.564 s
% 2.42/0.80 % System time : 0.043 s
% 2.42/0.80 % Total time : 0.607 s
% 2.42/0.80 % Maximum resident set size: 5632 pages
% 2.42/0.80 % E exiting
%------------------------------------------------------------------------------