%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV633-1 : 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 : n005.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 03:06:38 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.56s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 14 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_nat__1__add__1_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__1__add__1_0) ).
cnf(cls_nat__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).
cnf(cls_nat__mult__2__right_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__2__right_0) ).
cnf(cls_add__mult__distrib2_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mult__distrib2_0) ).
cnf(c_0_5,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_6,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex),
c_0_5 ).
cnf(c_0_7,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),
cls_nat__1__add__1_0 ).
cnf(c_0_8,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
cls_nat__mult__commute_0 ).
cnf(c_0_9,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
cls_nat__mult__2__right_0 ).
cnf(c_0_10,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(v_m,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(v_m,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_8]),c_0_7]),c_0_7]),c_0_8]),c_0_7]),c_0_8]) ).
cnf(c_0_11,plain,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
inference(rw,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Oplus__class_Oplus(v_j,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11]),c_0_11]) ).
cnf(c_0_13,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
cls_add__mult__distrib2_0 ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV633-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/5.36 % Computer : n005.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 09:15:38 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.56 % Version: 3.5.1
% 0.13/5.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.13/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.56 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.56 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.56 % Starting sh5l with 300s (1) cores
% 0.13/5.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3105067 completed with status 0
% 0.13/5.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/5.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.13/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.56 % No SInE strategy applied
% 0.13/5.56 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.13/5.56 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.56 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/5.56 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 0.13/5.56 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.13/5.56 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.13/5.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3105075 completed with status 0
% 0.13/5.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/5.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.13/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.56 % No SInE strategy applied
% 0.13/5.56 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.13/5.56 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.56 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/5.56 % Preprocessing time : 0.022 s
% 0.13/5.56 % Presaturation interreduction done
% 0.13/5.56
% 0.13/5.56 % Proof found!
% 0.13/5.56 % SZS status Unsatisfiable
% 0.13/5.56 % SZS output start CNFRefutation
% See solution above
% 0.13/5.56 % Parsed axioms : 1484
% 0.13/5.56 % Removed by relevancy pruning/SinE : 0
% 0.13/5.56 % Initial clauses : 1484
% 0.13/5.56 % Removed in clause preprocessing : 1
% 0.13/5.56 % Initial clauses in saturation : 1483
% 0.13/5.56 % Processed clauses : 596
% 0.13/5.56 % ...of these trivial : 26
% 0.13/5.56 % ...subsumed : 95
% 0.13/5.56 % ...remaining for further processing : 475
% 0.13/5.56 % Other redundant clauses eliminated : 0
% 0.13/5.56 % Clauses deleted for lack of memory : 0
% 0.13/5.56 % Backward-subsumed : 0
% 0.13/5.56 % Backward-rewritten : 7
% 0.13/5.56 % Generated clauses : 0
% 0.13/5.56 % ...of the previous two non-redundant : 4
% 0.13/5.56 % ...aggressively subsumed : 0
% 0.13/5.56 % Contextual simplify-reflections : 0
% 0.13/5.56 % Paramodulations : 0
% 0.13/5.56 % Factorizations : 0
% 0.13/5.56 % NegExts : 0
% 0.13/5.56 % Equation resolutions : 0
% 0.13/5.56 % Disequality decompositions : 0
% 0.13/5.56 % Total rewrite steps : 126
% 0.13/5.56 % ...of those cached : 85
% 0.13/5.56 % Propositional unsat checks : 0
% 0.13/5.56 % Propositional check models : 0
% 0.13/5.56 % Propositional check unsatisfiable : 0
% 0.13/5.56 % Propositional clauses : 0
% 0.13/5.56 % Propositional clauses after purity: 0
% 0.13/5.56 % Propositional unsat core size : 0
% 0.13/5.56 % Propositional preprocessing time : 0.000
% 0.13/5.56 % Propositional encoding time : 0.000
% 0.13/5.56 % Propositional solver time : 0.000
% 0.13/5.56 % Success case prop preproc time : 0.000
% 0.13/5.56 % Success case prop encoding time : 0.000
% 0.13/5.56 % Success case prop solver time : 0.000
% 0.13/5.56 % Current number of processed clauses : 468
% 0.13/5.56 % Positive orientable unit clauses : 171
% 0.13/5.56 % Positive unorientable unit clauses: 5
% 0.13/5.56 % Negative unit clauses : 13
% 0.13/5.56 % Non-unit-clauses : 279
% 0.13/5.56 % Current number of unprocessed clauses: 891
% 0.13/5.56 % ...number of literals in the above : 3273
% 0.13/5.56 % Current number of archived formulas : 0
% 0.13/5.56 % Current number of archived clauses : 8
% 0.13/5.56 % Clause-clause subsumption calls (NU) : 9432
% 0.13/5.56 % Rec. Clause-clause subsumption calls : 5871
% 0.13/5.56 % Non-unit clause-clause subsumptions : 81
% 0.13/5.56 % Unit Clause-clause subsumption calls : 19
% 0.13/5.56 % Rewrite failures with RHS unbound : 0
% 0.13/5.56 % BW rewrite match attempts : 64
% 0.13/5.56 % BW rewrite match successes : 47
% 0.13/5.56 % Condensation attempts : 0
% 0.13/5.56 % Condensation successes : 0
% 0.13/5.56 % Termbank termtop insertions : 59787
% 0.13/5.56 % Search garbage collected termcells : 3085
% 0.13/5.56
% 0.13/5.56 % -------------------------------------------------
% 0.13/5.56 % User time : 0.076 s
% 0.13/5.56 % System time : 0.015 s
% 0.13/5.56 % Total time : 0.091 s
% 0.13/5.56 % Maximum resident set size: 6716 pages
% 0.13/5.56
% 0.13/5.56 % -------------------------------------------------
% 0.13/5.56 % User time : 0.302 s
% 0.13/5.56 % System time : 0.049 s
% 0.13/5.56 % Total time : 0.352 s
% 0.13/5.56 % Maximum resident set size: 5632 pages
% 0.13/5.56 % E exiting
%------------------------------------------------------------------------------