%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG198+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 : n012.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 0.06s 0.34s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 129 ( 128 equ)
% Maximal formula atoms : 21 ( 10 avg)
% Number of connectives : 214 ( 97 ~; 0 |; 117 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 12 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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
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(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(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 ),
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 ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,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_6,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 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
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_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
op(e5,e5) = e5,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
e1 = op(e5,e5),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_10,plain,
e1 != e5,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG198+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 21 13:01:07 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.02/0.32 Running first-order theorem proving
% 0.02/0.32 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
% 0.06/0.34 % Version: 3.5.1
% 0.06/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.06/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.06/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.06/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.06/0.34 % Starting sh5l with 300s (1) cores
% 0.06/0.34 % new_bool_3 with pid 2406027 completed with status 0
% 0.06/0.34 % Result found by new_bool_3
% 0.06/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.06/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.06/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.06/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.06/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.06/0.34 % Search class: FGUPF-FSLM22-MFFFFFNN
% 0.06/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.06/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.06/0.34 % SubtermCWHack with pid 2406031 completed with status 0
% 0.06/0.34 % Result found by SubtermCWHack
% 0.06/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.06/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.06/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.06/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.06/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.06/0.34 % Search class: FGUPF-FSLM22-MFFFFFNN
% 0.06/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.06/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.06/0.34 % Preprocessing time : 0.003 s
% 0.06/0.34
% 0.06/0.34 % Proof found!
% 0.06/0.34 % SZS status Theorem
% 0.06/0.34 % SZS output start CNFRefutation
% See solution above
% 0.06/0.34 % Parsed axioms : 7
% 0.06/0.34 % Removed by relevancy pruning/SinE : 0
% 0.06/0.34 % Initial clauses : 531
% 0.06/0.34 % Removed in clause preprocessing : 0
% 0.06/0.34 % Initial clauses in saturation : 531
% 0.06/0.34 % Processed clauses : 28
% 0.06/0.34 % ...of these trivial : 0
% 0.06/0.34 % ...subsumed : 0
% 0.06/0.34 % ...remaining for further processing : 27
% 0.06/0.34 % Other redundant clauses eliminated : 0
% 0.06/0.34 % Clauses deleted for lack of memory : 0
% 0.06/0.34 % Backward-subsumed : 0
% 0.06/0.34 % Backward-rewritten : 0
% 0.06/0.34 % Generated clauses : 0
% 0.06/0.34 % ...of the previous two non-redundant : 0
% 0.06/0.34 % ...aggressively subsumed : 0
% 0.06/0.34 % Contextual simplify-reflections : 0
% 0.06/0.34 % Paramodulations : 0
% 0.06/0.34 % Factorizations : 0
% 0.06/0.34 % NegExts : 0
% 0.06/0.34 % Equation resolutions : 0
% 0.06/0.34 % Disequality decompositions : 0
% 0.06/0.34 % Total rewrite steps : 1
% 0.06/0.34 % ...of those cached : 0
% 0.06/0.34 % Propositional unsat checks : 0
% 0.06/0.34 % Propositional check models : 0
% 0.06/0.34 % Propositional check unsatisfiable : 0
% 0.06/0.34 % Propositional clauses : 0
% 0.06/0.34 % Propositional clauses after purity: 0
% 0.06/0.34 % Propositional unsat core size : 0
% 0.06/0.34 % Propositional preprocessing time : 0.000
% 0.06/0.34 % Propositional encoding time : 0.000
% 0.06/0.34 % Propositional solver time : 0.000
% 0.06/0.34 % Success case prop preproc time : 0.000
% 0.06/0.34 % Success case prop encoding time : 0.000
% 0.06/0.34 % Success case prop solver time : 0.000
% 0.06/0.34 % Current number of processed clauses : 27
% 0.06/0.34 % Positive orientable unit clauses : 6
% 0.06/0.34 % Positive unorientable unit clauses: 0
% 0.06/0.34 % Negative unit clauses : 21
% 0.06/0.34 % Non-unit-clauses : 0
% 0.06/0.34 % Current number of unprocessed clauses: 503
% 0.06/0.34 % ...number of literals in the above : 1385
% 0.06/0.34 % Current number of archived formulas : 0
% 0.06/0.34 % Current number of archived clauses : 0
% 0.06/0.34 % Clause-clause subsumption calls (NU) : 0
% 0.06/0.34 % Rec. Clause-clause subsumption calls : 0
% 0.06/0.34 % Non-unit clause-clause subsumptions : 0
% 0.06/0.34 % Unit Clause-clause subsumption calls : 0
% 0.06/0.34 % Rewrite failures with RHS unbound : 0
% 0.06/0.34 % BW rewrite match attempts : 0
% 0.06/0.34 % BW rewrite match successes : 0
% 0.06/0.34 % Condensation attempts : 0
% 0.06/0.34 % Condensation successes : 0
% 0.06/0.34 % Termbank termtop insertions : 38899
% 0.06/0.34 % Search garbage collected termcells : 965
% 0.06/0.34
% 0.06/0.34 % -------------------------------------------------
% 0.06/0.34 % User time : 0.009 s
% 0.06/0.34 % System time : 0.001 s
% 0.06/0.34 % Total time : 0.010 s
% 0.06/0.34 % Maximum resident set size: 4424 pages
% 0.06/0.34
% 0.06/0.34 % -------------------------------------------------
% 0.06/0.34 % User time : 0.012 s
% 0.06/0.34 % System time : 0.005 s
% 0.06/0.34 % Total time : 0.017 s
% 0.06/0.34 % Maximum resident set size: 4864 pages
% 0.06/0.34 % E exiting
%------------------------------------------------------------------------------