%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:35:24 PM UTC 2026
% Result : Theorem 0.32s 0.62s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 30 ( 9 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 29 ( 9 ~; 0 |; 5 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 35 ( 5 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
! [X2199] :
( cRedblack_2ecolor___24t(X2199)
=> ! [X153] :
( cRedblack_2eTREES_2etree___24t(X153)
=> ! [X593] :
( cRedblack_2ekey___24t(X593)
=> ! [X767] :
( cV___24t(X767)
=> ! [X2283] :
( cRedblack_2eTREES_2etree___24t(X2283)
=> cRedblack_2eTREES_2eT___24a5(X2199,X153,X593,X767,X2283) != cRedblack_2eTREES_2eE ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_discrim_Redblack.TREES.E$Redblack.TREES.T',axiom,
! [X844,X845,X846,X847,X848] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X844,X845,X846,X847,X848),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_discrim_Redblack.TREES.E$Redblack.TREES.T') ).
fof(c_0_2,negated_conjecture,
~ ! [X2199] :
( cRedblack_2ecolor___24t(X2199)
=> ! [X153] :
( cRedblack_2eTREES_2etree___24t(X153)
=> ! [X593] :
( cRedblack_2ekey___24t(X593)
=> ! [X767] :
( cV___24t(X767)
=> ! [X2283] :
( cRedblack_2eTREES_2etree___24t(X2283)
=> cRedblack_2eTREES_2eT___24a5(X2199,X153,X593,X767,X2283) != cRedblack_2eTREES_2eE ) ) ) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_3,negated_conjecture,
~ ! [X2199] :
( cRedblack_2ecolor___24t(X2199)
=> ! [X153] :
( cRedblack_2eTREES_2etree___24t(X153)
=> ! [X593] :
( cRedblack_2ekey___24t(X593)
=> ! [X767] :
( cV___24t(X767)
=> ! [X2283] :
( cRedblack_2eTREES_2etree___24t(X2283)
=> cRedblack_2eTREES_2eT___24a5(X2199,X153,X593,X767,X2283) != cRedblack_2eTREES_2eE ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_4,plain,
! [X844,X845,X846,X847,X848] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X844,X845,X846,X847,X848),
inference(fof_simplification,[status(thm)],['$_discrim_Redblack.TREES.E$Redblack.TREES.T']) ).
fof(c_0_5,negated_conjecture,
( cRedblack_2eTREES_2eT___24a5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0) = cRedblack_2eTREES_2eE
& cRedblack_2eTREES_2etree___24t(esk5_0)
& cV___24t(esk4_0)
& cRedblack_2ekey___24t(esk3_0)
& cRedblack_2eTREES_2etree___24t(esk2_0)
& cRedblack_2ecolor___24t(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X2289,X2290,X2291,X2292,X2293] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X2289,X2290,X2291,X2292,X2293),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
cRedblack_2eTREES_2eT___24a5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0) = cRedblack_2eTREES_2eE,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:39:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.32/0.62 % Version: 3.5.1
% 0.32/0.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.32/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.62 % Starting new_bool_3 with 900s (3) cores
% 0.32/0.62 % Starting new_bool_1 with 900s (3) cores
% 0.32/0.62 % Starting sh5l with 300s (1) cores
% 0.32/0.62 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.32/0.62 % new_bool_1 with pid 1917329 completed with status 0
% 0.32/0.62 % Result found by new_bool_1
% 0.32/0.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.32/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.62 % Starting new_bool_3 with 900s (3) cores
% 0.32/0.62 % Starting new_bool_1 with 900s (3) cores
% 0.32/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.32/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.32/0.62 % Search class: FGUSF-FFSM31-SFFFFFNN
% 0.32/0.62 % partial match(1): FGUSF-FFSM11-SFFFFFNN
% 0.32/0.62 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 0.32/0.62 % Starting SubtermCWHack with 91s (1) cores
% 0.32/0.62 % Starting SAT001_MinMin_p005000_rr_RG with 541s (1) cores
% 0.32/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 91s (1) cores
% 0.32/0.62 % SAT001_MinMin_p005000_rr_RG with pid 1917337 completed with status 0
% 0.32/0.62 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.32/0.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.32/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.62 % Starting new_bool_3 with 900s (3) cores
% 0.32/0.62 % Starting new_bool_1 with 900s (3) cores
% 0.32/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.32/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.32/0.62 % Search class: FGUSF-FFSM31-SFFFFFNN
% 0.32/0.62 % partial match(1): FGUSF-FFSM11-SFFFFFNN
% 0.32/0.62 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 0.32/0.62 % Starting SubtermCWHack with 91s (1) cores
% 0.32/0.62 % Starting SAT001_MinMin_p005000_rr_RG with 541s (1) cores
% 0.32/0.62 % Preprocessing time : 0.004 s
% 0.32/0.62 % Presaturation interreduction done
% 0.32/0.62
% 0.32/0.62 % Proof found!
% 0.32/0.62 % SZS status Theorem
% 0.32/0.62 % SZS output start CNFRefutation
% See solution above
% 0.32/0.62 % Parsed axioms : 2821
% 0.32/0.62 % Removed by relevancy pruning/SinE : 2816
% 0.32/0.62 % Initial clauses : 19
% 0.32/0.62 % Removed in clause preprocessing : 0
% 0.32/0.62 % Initial clauses in saturation : 19
% 0.32/0.62 % Processed clauses : 8
% 0.32/0.62 % ...of these trivial : 0
% 0.32/0.62 % ...subsumed : 0
% 0.32/0.62 % ...remaining for further processing : 8
% 0.32/0.62 % Other redundant clauses eliminated : 0
% 0.32/0.62 % Clauses deleted for lack of memory : 0
% 0.32/0.62 % Backward-subsumed : 0
% 0.32/0.62 % Backward-rewritten : 0
% 0.32/0.62 % Generated clauses : 1
% 0.32/0.62 % ...of the previous two non-redundant : 0
% 0.32/0.62 % ...aggressively subsumed : 0
% 0.32/0.62 % Contextual simplify-reflections : 0
% 0.32/0.62 % Paramodulations : 0
% 0.32/0.62 % Factorizations : 0
% 0.32/0.62 % NegExts : 0
% 0.32/0.62 % Equation resolutions : 0
% 0.32/0.62 % Disequality decompositions : 0
% 0.32/0.62 % Total rewrite steps : 0
% 0.32/0.62 % ...of those cached : 0
% 0.32/0.62 % Propositional unsat checks : 0
% 0.32/0.62 % Propositional check models : 0
% 0.32/0.62 % Propositional check unsatisfiable : 0
% 0.32/0.62 % Propositional clauses : 0
% 0.32/0.62 % Propositional clauses after purity: 0
% 0.32/0.62 % Propositional unsat core size : 0
% 0.32/0.62 % Propositional preprocessing time : 0.000
% 0.32/0.62 % Propositional encoding time : 0.000
% 0.32/0.62 % Propositional solver time : 0.000
% 0.32/0.62 % Success case prop preproc time : 0.000
% 0.32/0.62 % Success case prop encoding time : 0.000
% 0.32/0.62 % Success case prop solver time : 0.000
% 0.32/0.62 % Current number of processed clauses : 7
% 0.32/0.62 % Positive orientable unit clauses : 6
% 0.32/0.62 % Positive unorientable unit clauses: 0
% 0.32/0.62 % Negative unit clauses : 1
% 0.32/0.62 % Non-unit-clauses : 0
% 0.32/0.62 % Current number of unprocessed clauses: 11
% 0.32/0.62 % ...number of literals in the above : 28
% 0.32/0.62 % Current number of archived formulas : 0
% 0.32/0.62 % Current number of archived clauses : 1
% 0.32/0.62 % Clause-clause subsumption calls (NU) : 0
% 0.32/0.62 % Rec. Clause-clause subsumption calls : 0
% 0.32/0.62 % Non-unit clause-clause subsumptions : 0
% 0.32/0.62 % Unit Clause-clause subsumption calls : 0
% 0.32/0.62 % Rewrite failures with RHS unbound : 0
% 0.32/0.62 % BW rewrite match attempts : 0
% 0.32/0.62 % BW rewrite match successes : 0
% 0.32/0.62 % Condensation attempts : 0
% 0.32/0.62 % Condensation successes : 0
% 0.32/0.62 % Termbank termtop insertions : 44401
% 0.32/0.62 % Search garbage collected termcells : 34199
% 0.32/0.62
% 0.32/0.62 % -------------------------------------------------
% 0.32/0.62 % User time : 0.017 s
% 0.32/0.62 % System time : 0.021 s
% 0.32/0.62 % Total time : 0.038 s
% 0.32/0.62 % Maximum resident set size: 14540 pages
% 0.32/0.62
% 0.32/0.62 % -------------------------------------------------
% 0.32/0.62 % User time : 0.187 s
% 0.32/0.62 % System time : 0.041 s
% 0.32/0.62 % Total time : 0.228 s
% 0.32/0.62 % Maximum resident set size: 11264 pages
% 0.32/0.62 % E exiting
%------------------------------------------------------------------------------