%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG172+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 11:55:16 AM UTC 2026
% Result : Theorem 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 257 ( 249 equ)
% Maximal formula atoms : 50 ( 12 avg)
% Number of connectives : 352 ( 116 ~; 17 |; 218 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax6,axiom,
( e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e1 = op(e4,e4)
& e0 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( op(op(e4,e4),op(e4,e4)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e0,e0),op(e0,e0)) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(c_0_4,negated_conjecture,
~ ~ ( op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_5,plain,
( epred2_0
<=> ( ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition) ).
fof(c_0_6,negated_conjecture,
~ ~ ( op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4]),c_0_5]) ).
fof(c_0_7,negated_conjecture,
( op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0
& ( epred2_0
| op(e4,e4) != e4 )
& ( epred2_0
| op(e3,e4) != e3 )
& ( epred2_0
| op(e2,e4) != e2 )
& ( epred2_0
| op(e1,e4) != e1 )
& ( epred2_0
| op(e0,e4) != e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_8,negated_conjecture,
op(op(e4,e4),e4) = e4,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_9,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_10,plain,
e0 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_11,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
cnf(c_0_12,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_13,negated_conjecture,
op(e1,e4) = e4,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
op(e4,e1) = e0,
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
fof(c_0_15,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_17,plain,
op(e4,e0) = e4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
op(op(e0,e4),e4) = e0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG172+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/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 13:00:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.44 % Version: 3.5.1
% 0.15/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % Starting sh5l with 300s (1) cores
% 0.15/0.44 % new_bool_1 with pid 1953080 completed with status 0
% 0.15/0.44 % Result found by new_bool_1
% 0.15/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 % Search class: FGHSF-FSLM22-MFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.44 % SubtermCWHack with pid 1953082 completed with status 0
% 0.15/0.44 % Result found by SubtermCWHack
% 0.15/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 % Search class: FGHSF-FSLM22-MFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.44 % Preprocessing time : 0.003 s
% 0.15/0.44
% 0.15/0.44 % Proof found!
% 0.15/0.44 % SZS status Theorem
% 0.15/0.44 % SZS output start CNFRefutation
% See solution above
% 0.15/0.44 % Parsed axioms : 7
% 0.15/0.44 % Removed by relevancy pruning/SinE : 0
% 0.15/0.44 % Initial clauses : 294
% 0.15/0.44 % Removed in clause preprocessing : 0
% 0.15/0.44 % Initial clauses in saturation : 294
% 0.15/0.44 % Processed clauses : 153
% 0.15/0.44 % ...of these trivial : 0
% 0.15/0.44 % ...subsumed : 7
% 0.15/0.44 % ...remaining for further processing : 146
% 0.15/0.44 % Other redundant clauses eliminated : 0
% 0.15/0.44 % Clauses deleted for lack of memory : 0
% 0.15/0.44 % Backward-subsumed : 0
% 0.15/0.44 % Backward-rewritten : 13
% 0.15/0.44 % Generated clauses : 0
% 0.15/0.44 % ...of the previous two non-redundant : 1
% 0.15/0.44 % ...aggressively subsumed : 0
% 0.15/0.44 % Contextual simplify-reflections : 0
% 0.15/0.44 % Paramodulations : 0
% 0.15/0.44 % Factorizations : 0
% 0.15/0.44 % NegExts : 0
% 0.15/0.44 % Equation resolutions : 0
% 0.15/0.44 % Disequality decompositions : 0
% 0.15/0.44 % Total rewrite steps : 47
% 0.15/0.44 % ...of those cached : 41
% 0.15/0.44 % Propositional unsat checks : 0
% 0.15/0.44 % Propositional check models : 0
% 0.15/0.44 % Propositional check unsatisfiable : 0
% 0.15/0.44 % Propositional clauses : 0
% 0.15/0.44 % Propositional clauses after purity: 0
% 0.15/0.44 % Propositional unsat core size : 0
% 0.15/0.44 % Propositional preprocessing time : 0.000
% 0.15/0.44 % Propositional encoding time : 0.000
% 0.15/0.44 % Propositional solver time : 0.000
% 0.15/0.44 % Success case prop preproc time : 0.000
% 0.15/0.44 % Success case prop encoding time : 0.000
% 0.15/0.44 % Success case prop solver time : 0.000
% 0.15/0.44 % Current number of processed clauses : 133
% 0.15/0.44 % Positive orientable unit clauses : 33
% 0.15/0.44 % Positive unorientable unit clauses: 0
% 0.15/0.44 % Negative unit clauses : 97
% 0.15/0.44 % Non-unit-clauses : 3
% 0.15/0.44 % Current number of unprocessed clauses: 142
% 0.15/0.44 % ...number of literals in the above : 567
% 0.15/0.44 % Current number of archived formulas : 0
% 0.15/0.44 % Current number of archived clauses : 13
% 0.15/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.15/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.15/0.44 % Non-unit clause-clause subsumptions : 0
% 0.15/0.44 % Unit Clause-clause subsumption calls : 94
% 0.15/0.44 % Rewrite failures with RHS unbound : 0
% 0.15/0.44 % BW rewrite match attempts : 3
% 0.15/0.44 % BW rewrite match successes : 3
% 0.15/0.44 % Condensation attempts : 0
% 0.15/0.44 % Condensation successes : 0
% 0.15/0.44 % Termbank termtop insertions : 17285
% 0.15/0.44 % Search garbage collected termcells : 1041
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.008 s
% 0.15/0.44 % System time : 0.003 s
% 0.15/0.44 % Total time : 0.011 s
% 0.15/0.44 % Maximum resident set size: 4000 pages
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.014 s
% 0.15/0.44 % System time : 0.005 s
% 0.15/0.44 % Total time : 0.020 s
% 0.15/0.44 % Maximum resident set size: 4608 pages
% 0.15/0.44 % E exiting
%------------------------------------------------------------------------------