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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SEV672+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 : 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 02:36:58 PM UTC 2026

% Result   : Theorem 4.81s 1.89s
% Output   : CNFRefutation 4.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
    cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

fof('Stlc.STLC.step_example1',axiom,
    cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Stlc.STLC.step_example1') ).

fof(c_0_2,negated_conjecture,
    ~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).

fof(c_0_3,negated_conjecture,
    ~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_5,plain,
    cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(split_conjunct,[status(thm)],['Stlc.STLC.step_example1']) ).

cnf(c_0_6,negated_conjecture,
    ~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    $false,
    inference(sr,[status(thm)],[c_0_5,c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV672+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n002.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 21 07:38:04 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44  Running first-order theorem proving
% 0.12/0.44  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
% 4.81/1.89  % Version: 3.5.1
% 4.81/1.89  % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.81/1.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.81/1.89  % Starting new_bool_3 with 900s (3) cores
% 4.81/1.89  % Starting new_bool_1 with 900s (3) cores
% 4.81/1.89  % Starting sh5l with 300s (1) cores
% 4.81/1.89  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.81/1.89  % new_bool_1 with pid 2782629 completed with status 0
% 4.81/1.89  % Result found by new_bool_1
% 4.81/1.89  % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.81/1.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.81/1.89  % Starting new_bool_3 with 900s (3) cores
% 4.81/1.89  % Starting new_bool_1 with 900s (3) cores
% 4.81/1.89  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.81/1.89  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.81/1.89  % Search class: FGUSF-SMLM31-MFFFFFNN
% 4.81/1.89  % partial match(2): FGHSS-SMLM31-MFFFFFNN
% 4.81/1.89  % Scheduled 13 strats onto 3 cores with 899 seconds (899 total)
% 4.81/1.89  % Starting SubtermCWHack with 81s (1) cores
% 4.81/1.89  % Starting new_bool_1 with 90s (1) cores
% 4.81/1.89  % Starting G-E--_042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 68s (1) cores
% 4.81/1.89  % new_bool_1 with pid 2782633 completed with status 0
% 4.81/1.89  % Result found by new_bool_1
% 4.81/1.89  % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.81/1.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.81/1.89  % Starting new_bool_3 with 900s (3) cores
% 4.81/1.89  % Starting new_bool_1 with 900s (3) cores
% 4.81/1.89  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.81/1.89  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.81/1.89  % Search class: FGUSF-SMLM31-MFFFFFNN
% 4.81/1.89  % partial match(2): FGHSS-SMLM31-MFFFFFNN
% 4.81/1.89  % Scheduled 13 strats onto 3 cores with 899 seconds (899 total)
% 4.81/1.89  % Starting SubtermCWHack with 81s (1) cores
% 4.81/1.89  % Starting new_bool_1 with 90s (1) cores
% 4.81/1.89  % Preprocessing time       : 0.259 s
% 4.81/1.89  % Presaturation interreduction done
% 4.81/1.89  
% 4.81/1.89  % Proof found!
% 4.81/1.89  % SZS status Theorem
% 4.81/1.89  % SZS output start CNFRefutation
% See solution above
% 4.81/1.89  % Parsed axioms                        : 3119
% 4.81/1.89  % Removed by relevancy pruning/SinE    : 3075
% 4.81/1.89  % Initial clauses                      : 16046
% 4.81/1.89  % Removed in clause preprocessing      : 0
% 4.81/1.89  % Initial clauses in saturation        : 16046
% 4.81/1.89  % Processed clauses                    : 16
% 4.81/1.89  % ...of these trivial                  : 0
% 4.81/1.89  % ...subsumed                          : 0
% 4.81/1.89  % ...remaining for further processing  : 15
% 4.81/1.89  % Other redundant clauses eliminated   : 0
% 4.81/1.89  % Clauses deleted for lack of memory   : 0
% 4.81/1.89  % Backward-subsumed                    : 0
% 4.81/1.89  % Backward-rewritten                   : 0
% 4.81/1.89  % Generated clauses                    : 0
% 4.81/1.89  % ...of the previous two non-redundant : 0
% 4.81/1.89  % ...aggressively subsumed             : 0
% 4.81/1.89  % Contextual simplify-reflections      : 0
% 4.81/1.89  % Paramodulations                      : 0
% 4.81/1.89  % Factorizations                       : 0
% 4.81/1.89  % NegExts                              : 0
% 4.81/1.89  % Equation resolutions                 : 0
% 4.81/1.89  % Disequality decompositions           : 0
% 4.81/1.89  % Total rewrite steps                  : 0
% 4.81/1.89  % ...of those cached                   : 0
% 4.81/1.89  % Propositional unsat checks           : 0
% 4.81/1.89  %    Propositional check models        : 0
% 4.81/1.89  %    Propositional check unsatisfiable : 0
% 4.81/1.89  %    Propositional clauses             : 0
% 4.81/1.89  %    Propositional clauses after purity: 0
% 4.81/1.89  %    Propositional unsat core size     : 0
% 4.81/1.89  %    Propositional preprocessing time  : 0.000
% 4.81/1.89  %    Propositional encoding time       : 0.000
% 4.81/1.89  %    Propositional solver time         : 0.000
% 4.81/1.89  %    Success case prop preproc time    : 0.000
% 4.81/1.89  %    Success case prop encoding time   : 0.000
% 4.81/1.89  %    Success case prop solver time     : 0.000
% 4.81/1.89  % Current number of processed clauses  : 15
% 4.81/1.89  %    Positive orientable unit clauses  : 10
% 4.81/1.89  %    Positive unorientable unit clauses: 0
% 4.81/1.89  %    Negative unit clauses             : 5
% 4.81/1.89  %    Non-unit-clauses                  : 0
% 4.81/1.89  % Current number of unprocessed clauses: 16030
% 4.81/1.89  % ...number of literals in the above   : 175466
% 4.81/1.89  % Current number of archived formulas  : 0
% 4.81/1.89  % Current number of archived clauses   : 0
% 4.81/1.89  % Clause-clause subsumption calls (NU) : 0
% 4.81/1.89  % Rec. Clause-clause subsumption calls : 0
% 4.81/1.89  % Non-unit clause-clause subsumptions  : 0
% 4.81/1.89  % Unit Clause-clause subsumption calls : 1
% 4.81/1.89  % Rewrite failures with RHS unbound    : 0
% 4.81/1.89  % BW rewrite match attempts            : 0
% 4.81/1.89  % BW rewrite match successes           : 0
% 4.81/1.89  % Condensation attempts                : 0
% 4.81/1.89  % Condensation successes               : 0
% 4.81/1.89  % Termbank termtop insertions          : 1493761
% 4.81/1.89  % Search garbage collected termcells   : 124214
% 4.81/1.89  
% 4.81/1.89  % -------------------------------------------------
% 4.81/1.89  % User time                : 1.219 s
% 4.81/1.89  % System time              : 0.086 s
% 4.81/1.89  % Total time               : 1.305 s
% 4.81/1.89  % Maximum resident set size: 52308 pages
% 4.81/1.89  
% 4.81/1.89  % -------------------------------------------------
% 4.81/1.89  % User time                : 1.788 s
% 4.81/1.89  % System time              : 0.165 s
% 4.81/1.89  % Total time               : 1.953 s
% 4.81/1.89  % Maximum resident set size: 12032 pages
% 4.81/1.89  % E exiting
%------------------------------------------------------------------------------