%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG421-1 : 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 : n006.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 11:56:04 AM UTC 2026
% Result : Unsatisfiable 0.32s 0.83s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 24 ( 13 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 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 : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_poly__power_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Polynomial_Opoly(c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__power_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_u_0,axiom,
c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_u_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_poly__mult_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X2,X4,X1),c_Polynomial_Opoly(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__mult_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(c_0_6,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Polynomial_Opoly(c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X2,X4,X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_poly__power_0]) ).
cnf(c_0_7,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_8,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_Polynomial_Opoly(c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X2,X4,X1),X3,X1) ),
c_0_6 ).
cnf(c_0_9,axiom,
c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
cls_u_0 ).
cnf(c_0_10,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_11,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
c_0_7 ).
cnf(c_0_12,plain,
c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,X1,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X2,X4,X1),c_Polynomial_Opoly(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_poly__mult_0]) ).
cnf(c_0_14,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X2,X4,X1),c_Polynomial_Opoly(X3,X4,X1),X1) ),
c_0_13 ).
cnf(c_0_16,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG421-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n006.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 13:20:43 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.52 Running first-order theorem proving
% 0.27/0.52 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
% 0.32/0.83 % Version: 3.5.1
% 0.32/0.83 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.83 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.83 % Starting new_bool_3 with 300s (1) cores
% 0.32/0.83 % Starting new_bool_1 with 300s (1) cores
% 0.32/0.83 % Starting sh5l with 300s (1) cores
% 0.32/0.83 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2934451 completed with status 0
% 0.32/0.83 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.32/0.83 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.83 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.83 % No SInE strategy applied
% 0.32/0.83 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.32/0.83 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.83 % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.83 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.32/0.83 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.32/0.83 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.32/0.83 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.32/0.83 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 2934461 completed with status 0
% 0.32/0.83 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.32/0.83 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.83 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.83 % No SInE strategy applied
% 0.32/0.83 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.32/0.83 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.83 % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.83 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.32/0.83 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.32/0.83 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.32/0.83 % Preprocessing time : 0.017 s
% 0.32/0.83 % Presaturation interreduction done
% 0.32/0.83
% 0.32/0.83 % Proof found!
% 0.32/0.83 % SZS status Unsatisfiable
% 0.32/0.83 % SZS output start CNFRefutation
% See solution above
% 0.32/0.83 % Parsed axioms : 846
% 0.32/0.83 % Removed by relevancy pruning/SinE : 0
% 0.32/0.83 % Initial clauses : 846
% 0.32/0.83 % Removed in clause preprocessing : 3
% 0.32/0.83 % Initial clauses in saturation : 843
% 0.32/0.83 % Processed clauses : 1682
% 0.32/0.83 % ...of these trivial : 104
% 0.32/0.83 % ...subsumed : 421
% 0.32/0.83 % ...remaining for further processing : 1157
% 0.32/0.83 % Other redundant clauses eliminated : 53
% 0.32/0.83 % Clauses deleted for lack of memory : 0
% 0.32/0.83 % Backward-subsumed : 6
% 0.32/0.83 % Backward-rewritten : 10
% 0.32/0.83 % Generated clauses : 2649
% 0.32/0.83 % ...of the previous two non-redundant : 1660
% 0.32/0.83 % ...aggressively subsumed : 0
% 0.32/0.83 % Contextual simplify-reflections : 0
% 0.32/0.83 % Paramodulations : 2593
% 0.32/0.83 % Factorizations : 2
% 0.32/0.83 % NegExts : 0
% 0.32/0.83 % Equation resolutions : 54
% 0.32/0.83 % Disequality decompositions : 0
% 0.32/0.83 % Total rewrite steps : 2366
% 0.32/0.83 % ...of those cached : 1899
% 0.32/0.83 % Propositional unsat checks : 0
% 0.32/0.83 % Propositional check models : 0
% 0.32/0.83 % Propositional check unsatisfiable : 0
% 0.32/0.83 % Propositional clauses : 0
% 0.32/0.83 % Propositional clauses after purity: 0
% 0.32/0.83 % Propositional unsat core size : 0
% 0.32/0.83 % Propositional preprocessing time : 0.000
% 0.32/0.83 % Propositional encoding time : 0.000
% 0.32/0.83 % Propositional solver time : 0.000
% 0.32/0.83 % Success case prop preproc time : 0.000
% 0.32/0.83 % Success case prop encoding time : 0.000
% 0.32/0.83 % Success case prop solver time : 0.000
% 0.32/0.83 % Current number of processed clauses : 438
% 0.32/0.83 % Positive orientable unit clauses : 185
% 0.32/0.83 % Positive unorientable unit clauses: 8
% 0.32/0.83 % Negative unit clauses : 22
% 0.32/0.83 % Non-unit-clauses : 223
% 0.32/0.83 % Current number of unprocessed clauses: 1440
% 0.32/0.83 % ...number of literals in the above : 2885
% 0.32/0.83 % Current number of archived formulas : 0
% 0.32/0.83 % Current number of archived clauses : 721
% 0.32/0.83 % Clause-clause subsumption calls (NU) : 35233
% 0.32/0.83 % Rec. Clause-clause subsumption calls : 20333
% 0.32/0.83 % Non-unit clause-clause subsumptions : 223
% 0.32/0.83 % Unit Clause-clause subsumption calls : 346
% 0.32/0.83 % Rewrite failures with RHS unbound : 0
% 0.32/0.83 % BW rewrite match attempts : 482
% 0.32/0.83 % BW rewrite match successes : 110
% 0.32/0.83 % Condensation attempts : 0
% 0.32/0.83 % Condensation successes : 0
% 0.32/0.83 % Termbank termtop insertions : 67116
% 0.32/0.83 % Search garbage collected termcells : 1521
% 0.32/0.83
% 0.32/0.83 % -------------------------------------------------
% 0.32/0.83 % User time : 0.221 s
% 0.32/0.83 % System time : 0.020 s
% 0.32/0.83 % Total time : 0.240 s
% 0.32/0.83 % Maximum resident set size: 5184 pages
% 0.32/0.83
% 0.32/0.83 % -------------------------------------------------
% 0.32/0.83 % User time : 1.055 s
% 0.32/0.83 % System time : 0.069 s
% 0.32/0.83 % Total time : 1.124 s
% 0.32/0.83 % Maximum resident set size: 5120 pages
% 0.32/0.83 % E exiting
%------------------------------------------------------------------------------