%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG200+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:01:34 PM UTC 2026
% Result : Theorem 0.23s 0.82s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 99 ( 98 equ)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 126 ( 40 ~; 54 |; 32 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).
cnf(c_0_4,negated_conjecture,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
op(e0,e0) = e0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
op(e1,e1) = e1,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
op(e2,e2) = e2,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
op(e3,e3) = e3,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
op(e4,e4) = e4,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
op(e5,e5) = e5,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
op(e6,e6) = e6,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[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_4,c_0_5]),c_0_6]),c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG200+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.66 % Computer : n002.cluster.edu
% 0.18/0.66 % Model : x86_64 x86_64
% 0.18/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.66 % Memory : 8046.5625MB
% 0.18/0.66 % OS : Linux 6.8.0-71-generic
% 0.18/0.66 % CPULimit : 300
% 0.18/0.66 % WCLimit : 300
% 0.18/0.66 % DateTime : Mon Sep 21 13:04:02 UTC 2026
% 0.18/0.67 % CPUTime :
% 0.18/0.67 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.73 Running first-order theorem proving
% 0.23/0.73 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.23/0.82 % Version: 3.5.1
% 0.23/0.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.82 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.82 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.82 % Starting sh5l with 300s (1) cores
% 0.23/0.82 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3339264 completed with status 0
% 0.23/0.82 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.82 % No SInE strategy applied
% 0.23/0.82 % Search class: FGHPF-FSLM22-MFFFFFNN
% 0.23/0.82 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.82 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.82 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.23/0.82 % Starting new_bool_3 with 136s (1) cores
% 0.23/0.82 % Starting new_bool_1 with 136s (1) cores
% 0.23/0.82 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3339269 completed with status 0
% 0.23/0.82 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.82 % No SInE strategy applied
% 0.23/0.82 % Search class: FGHPF-FSLM22-MFFFFFNN
% 0.23/0.82 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.82 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.82 % Preprocessing time : 0.009 s
% 0.23/0.82 % Presaturation interreduction done
% 0.23/0.82
% 0.23/0.82 % Proof found!
% 0.23/0.82 % SZS status Theorem
% 0.23/0.82 % SZS output start CNFRefutation
% See solution above
% 0.23/0.82 % Parsed axioms : 7
% 0.23/0.82 % Removed by relevancy pruning/SinE : 0
% 0.23/0.82 % Initial clauses : 525
% 0.23/0.82 % Removed in clause preprocessing : 0
% 0.23/0.82 % Initial clauses in saturation : 525
% 0.23/0.82 % Processed clauses : 377
% 0.23/0.82 % ...of these trivial : 7
% 0.23/0.82 % ...subsumed : 18
% 0.23/0.82 % ...remaining for further processing : 351
% 0.23/0.82 % Other redundant clauses eliminated : 0
% 0.23/0.82 % Clauses deleted for lack of memory : 0
% 0.23/0.82 % Backward-subsumed : 0
% 0.23/0.82 % Backward-rewritten : 12
% 0.23/0.82 % Generated clauses : 0
% 0.23/0.82 % ...of the previous two non-redundant : 12
% 0.23/0.82 % ...aggressively subsumed : 0
% 0.23/0.82 % Contextual simplify-reflections : 0
% 0.23/0.82 % Paramodulations : 0
% 0.23/0.82 % Factorizations : 0
% 0.23/0.82 % NegExts : 0
% 0.23/0.82 % Equation resolutions : 0
% 0.23/0.82 % Disequality decompositions : 0
% 0.23/0.82 % Total rewrite steps : 183
% 0.23/0.82 % ...of those cached : 171
% 0.23/0.82 % Propositional unsat checks : 0
% 0.23/0.82 % Propositional check models : 0
% 0.23/0.82 % Propositional check unsatisfiable : 0
% 0.23/0.82 % Propositional clauses : 0
% 0.23/0.82 % Propositional clauses after purity: 0
% 0.23/0.82 % Propositional unsat core size : 0
% 0.23/0.82 % Propositional preprocessing time : 0.000
% 0.23/0.82 % Propositional encoding time : 0.000
% 0.23/0.82 % Propositional solver time : 0.000
% 0.23/0.82 % Success case prop preproc time : 0.000
% 0.23/0.82 % Success case prop encoding time : 0.000
% 0.23/0.82 % Success case prop solver time : 0.000
% 0.23/0.82 % Current number of processed clauses : 339
% 0.23/0.82 % Positive orientable unit clauses : 54
% 0.23/0.82 % Positive unorientable unit clauses: 0
% 0.23/0.82 % Negative unit clauses : 285
% 0.23/0.82 % Non-unit-clauses : 0
% 0.23/0.82 % Current number of unprocessed clauses: 160
% 0.23/0.82 % ...number of literals in the above : 1048
% 0.23/0.82 % Current number of archived formulas : 0
% 0.23/0.82 % Current number of archived clauses : 12
% 0.23/0.82 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.82 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.82 % Non-unit clause-clause subsumptions : 0
% 0.23/0.82 % Unit Clause-clause subsumption calls : 2858
% 0.23/0.82 % Rewrite failures with RHS unbound : 0
% 0.23/0.82 % BW rewrite match attempts : 87
% 0.23/0.82 % BW rewrite match successes : 1
% 0.23/0.82 % Condensation attempts : 0
% 0.23/0.82 % Condensation successes : 0
% 0.23/0.82 % Termbank termtop insertions : 38885
% 0.23/0.82 % Search garbage collected termcells : 959
% 0.23/0.82
% 0.23/0.82 % -------------------------------------------------
% 0.23/0.82 % User time : 0.041 s
% 0.23/0.82 % System time : 0.008 s
% 0.23/0.82 % Total time : 0.048 s
% 0.23/0.82 % Maximum resident set size: 4168 pages
% 0.23/0.82
% 0.23/0.82 % -------------------------------------------------
% 0.23/0.82 % User time : 0.143 s
% 0.23/0.82 % System time : 0.028 s
% 0.23/0.82 % Total time : 0.172 s
% 0.23/0.82 % Maximum resident set size: 4864 pages
% 0.23/0.82 % E exiting
%------------------------------------------------------------------------------