%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG199+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 : 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 11:55:32 AM UTC 2026
% Result : Theorem 0.22s 0.46s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 173 ( 172 equ)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 282 ( 131 ~; 54 |; 97 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 6 ( 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(ax6,axiom,
( e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5)))
& e4 = op(e5,op(e5,e5))
& e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)
& e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
& e1 = op(e5,e5)
& e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax5,axiom,
( e5 != e6
& e4 != e6
& e4 != e5
& e3 != e6
& e3 != e5
& e3 != e4
& e2 != e6
& e2 != e5
& e2 != e4
& e2 != e3
& e1 != e6
& e1 != e5
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e6
& e0 != e5
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
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(assume_negation,[status(cth)],[co1]) ).
fof(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 )
& ( 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_3]) ).
cnf(c_0_5,plain,
e4 = op(e5,op(e5,e5)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_6,plain,
e1 = op(e5,e5),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_7,plain,
( e5 != e6
& e4 != e6
& e4 != e5
& e3 != e6
& e3 != e5
& e3 != e4
& e2 != e6
& e2 != e5
& e2 != e4
& e2 != e3
& e1 != e6
& e1 != e5
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e6
& e0 != e5
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_8,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_4])]) ).
cnf(c_0_9,plain,
e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_10,plain,
op(e5,e1) = e4,
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
fof(c_0_11,plain,
( e5 != e6
& e4 != e6
& e4 != e5
& e3 != e6
& e3 != e5
& e3 != e4
& e2 != e6
& e2 != e5
& e2 != e4
& e2 != e3
& e1 != e6
& e1 != e5
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e6
& e0 != e5
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_12,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_8]) ).
cnf(c_0_13,plain,
op(e4,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_6]),c_0_10]),c_0_6]),c_0_10]) ).
cnf(c_0_14,negated_conjecture,
op(e0,e0) != e0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
op(e1,e1) != e1,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
op(e2,e2) != e2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
op(e3,e3) != e3,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
e1 != e5,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
op(e6,e6) != e6,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_6]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:01:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.22/0.46 % Version: 3.5.1
% 0.22/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.46 % Starting sh5l with 300s (1) cores
% 0.22/0.46 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1955466 completed with status 0
% 0.22/0.46 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.22/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.46 % No SInE strategy applied
% 0.22/0.46 % Search class: FGHPF-FSLM22-MFFFFFNN
% 0.22/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.22/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.46 % SubtermCWHack with pid 1955470 completed with status 0
% 0.22/0.46 % Result found by SubtermCWHack
% 0.22/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.46 % No SInE strategy applied
% 0.22/0.46 % Search class: FGHPF-FSLM22-MFFFFFNN
% 0.22/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.46 % Preprocessing time : 0.003 s
% 0.22/0.46
% 0.22/0.46 % Proof found!
% 0.22/0.46 % SZS status Theorem
% 0.22/0.46 % SZS output start CNFRefutation
% See solution above
% 0.22/0.46 % Parsed axioms : 7
% 0.22/0.46 % Removed by relevancy pruning/SinE : 0
% 0.22/0.46 % Initial clauses : 526
% 0.22/0.46 % Removed in clause preprocessing : 0
% 0.22/0.46 % Initial clauses in saturation : 526
% 0.22/0.46 % Processed clauses : 407
% 0.22/0.46 % ...of these trivial : 0
% 0.22/0.46 % ...subsumed : 4
% 0.22/0.46 % ...remaining for further processing : 402
% 0.22/0.46 % Other redundant clauses eliminated : 0
% 0.22/0.46 % Clauses deleted for lack of memory : 0
% 0.22/0.46 % Backward-subsumed : 0
% 0.22/0.46 % Backward-rewritten : 38
% 0.22/0.46 % Generated clauses : 32
% 0.22/0.46 % ...of the previous two non-redundant : 60
% 0.22/0.46 % ...aggressively subsumed : 0
% 0.22/0.46 % Contextual simplify-reflections : 0
% 0.22/0.46 % Paramodulations : 27
% 0.22/0.46 % Factorizations : 5
% 0.22/0.46 % NegExts : 0
% 0.22/0.46 % Equation resolutions : 0
% 0.22/0.46 % Disequality decompositions : 0
% 0.22/0.46 % Total rewrite steps : 84
% 0.22/0.46 % ...of those cached : 79
% 0.22/0.46 % Propositional unsat checks : 0
% 0.22/0.46 % Propositional check models : 0
% 0.22/0.46 % Propositional check unsatisfiable : 0
% 0.22/0.46 % Propositional clauses : 0
% 0.22/0.46 % Propositional clauses after purity: 0
% 0.22/0.46 % Propositional unsat core size : 0
% 0.22/0.46 % Propositional preprocessing time : 0.000
% 0.22/0.46 % Propositional encoding time : 0.000
% 0.22/0.46 % Propositional solver time : 0.000
% 0.22/0.46 % Success case prop preproc time : 0.000
% 0.22/0.46 % Success case prop encoding time : 0.000
% 0.22/0.46 % Success case prop solver time : 0.000
% 0.22/0.46 % Current number of processed clauses : 364
% 0.22/0.46 % Positive orientable unit clauses : 55
% 0.22/0.46 % Positive unorientable unit clauses: 0
% 0.22/0.46 % Negative unit clauses : 306
% 0.22/0.46 % Non-unit-clauses : 3
% 0.22/0.46 % Current number of unprocessed clauses: 179
% 0.22/0.46 % ...number of literals in the above : 1144
% 0.22/0.46 % Current number of archived formulas : 0
% 0.22/0.46 % Current number of archived clauses : 38
% 0.22/0.46 % Clause-clause subsumption calls (NU) : 6
% 0.22/0.46 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.46 % Non-unit clause-clause subsumptions : 0
% 0.22/0.46 % Unit Clause-clause subsumption calls : 3256
% 0.22/0.46 % Rewrite failures with RHS unbound : 0
% 0.22/0.46 % BW rewrite match attempts : 139
% 0.22/0.46 % BW rewrite match successes : 3
% 0.22/0.46 % Condensation attempts : 0
% 0.22/0.46 % Condensation successes : 0
% 0.22/0.46 % Termbank termtop insertions : 39403
% 0.22/0.46 % Search garbage collected termcells : 966
% 0.22/0.46
% 0.22/0.46 % -------------------------------------------------
% 0.22/0.46 % User time : 0.017 s
% 0.22/0.46 % System time : 0.006 s
% 0.22/0.46 % Total time : 0.023 s
% 0.22/0.46 % Maximum resident set size: 4428 pages
% 0.22/0.46
% 0.22/0.46 % -------------------------------------------------
% 0.22/0.46 % User time : 0.045 s
% 0.22/0.46 % System time : 0.021 s
% 0.22/0.46 % Total time : 0.066 s
% 0.22/0.46 % Maximum resident set size: 4864 pages
% 0.22/0.46 % E exiting
%------------------------------------------------------------------------------