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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET196-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 02:13:53 PM UTC 2026

% Result   : Unsatisfiable 0.16s 0.47s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (   5 unt;   3 nHn;  10 RR)
%            Number of literals    :   23 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X1,X2),X2)
    | subclass(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(not_subclass_members1,axiom,
    ( subclass(X1,X2)
    | member(not_subclass_element(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(prove_lattice_lower_bound1_1,negated_conjecture,
    ~ subclass(intersection(x,y),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lattice_lower_bound1_1) ).

cnf(c_0_4,plain,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(fof_simplification,[status(thm)],[intersection1]) ).

cnf(c_0_5,plain,
    ( ~ member(not_subclass_element(X1,X2),X2)
    | subclass(X1,X2) ),
    inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).

cnf(c_0_6,plain,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    c_0_4 ).

cnf(c_0_7,axiom,
    ( subclass(X1,X2)
    | member(not_subclass_element(X1,X2),X1) ),
    not_subclass_members1 ).

cnf(c_0_8,negated_conjecture,
    ~ subclass(intersection(x,y),x),
    inference(fof_simplification,[status(thm)],[prove_lattice_lower_bound1_1]) ).

cnf(c_0_9,plain,
    ( ~ member(not_subclass_element(X1,X2),X2)
    | subclass(X1,X2) ),
    c_0_5 ).

cnf(c_0_10,plain,
    ( subclass(intersection(X1,X2),X3)
    | member(not_subclass_element(intersection(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ~ subclass(intersection(x,y),x),
    c_0_8 ).

cnf(c_0_12,plain,
    subclass(intersection(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET196-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n020.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.03/0.38  % WCLimit  : 300
% 0.03/0.38  % DateTime : Mon Sep 21 05:00:33 UTC 2026
% 0.03/0.38  % CPUTime  : 
% 0.03/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.42  Running first-order theorem proving
% 0.03/0.42  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
% 0.16/0.47  % Version: 3.5.1
% 0.16/0.47  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.16/0.47  % Starting sh5l with 300s (1) cores
% 0.16/0.47  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2057533 completed with status 0
% 0.16/0.47  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.47  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.47  % No SInE strategy applied
% 0.16/0.47  % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.16/0.47  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47  % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.47  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.47  % Starting new_bool_3 with 311s (1) cores
% 0.16/0.47  % Starting new_bool_1 with 308s (1) cores
% 0.16/0.47  % Starting sh5l with 304s (1) cores
% 0.16/0.47  % SubtermCWHack with pid 2057543 completed with status 0
% 0.16/0.47  % Result found by SubtermCWHack
% 0.16/0.47  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.47  % No SInE strategy applied
% 0.16/0.47  % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.16/0.47  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47  % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.47  % Preprocessing time       : 0.003 s
% 0.16/0.47  
% 0.16/0.47  % Proof found!
% 0.16/0.47  % SZS status Unsatisfiable
% 0.16/0.47  % SZS output start CNFRefutation
% See solution above
% 0.16/0.47  % Parsed axioms                        : 113
% 0.16/0.47  % Removed by relevancy pruning/SinE    : 0
% 0.16/0.47  % Initial clauses                      : 113
% 0.16/0.47  % Removed in clause preprocessing      : 17
% 0.16/0.47  % Initial clauses in saturation        : 96
% 0.16/0.47  % Processed clauses                    : 230
% 0.16/0.47  % ...of these trivial                  : 1
% 0.16/0.47  % ...subsumed                          : 65
% 0.16/0.47  % ...remaining for further processing  : 164
% 0.16/0.47  % Other redundant clauses eliminated   : 2
% 0.16/0.47  % Clauses deleted for lack of memory   : 0
% 0.16/0.47  % Backward-subsumed                    : 1
% 0.16/0.47  % Backward-rewritten                   : 11
% 0.16/0.47  % Generated clauses                    : 489
% 0.16/0.47  % ...of the previous two non-redundant : 395
% 0.16/0.47  % ...aggressively subsumed             : 0
% 0.16/0.47  % Contextual simplify-reflections      : 1
% 0.16/0.47  % Paramodulations                      : 487
% 0.16/0.47  % Factorizations                       : 0
% 0.16/0.47  % NegExts                              : 0
% 0.16/0.47  % Equation resolutions                 : 2
% 0.16/0.47  % Disequality decompositions           : 0
% 0.16/0.47  % Total rewrite steps                  : 103
% 0.16/0.47  % ...of those cached                   : 62
% 0.16/0.47  % Propositional unsat checks           : 0
% 0.16/0.47  %    Propositional check models        : 0
% 0.16/0.47  %    Propositional check unsatisfiable : 0
% 0.16/0.47  %    Propositional clauses             : 0
% 0.16/0.47  %    Propositional clauses after purity: 0
% 0.16/0.47  %    Propositional unsat core size     : 0
% 0.16/0.47  %    Propositional preprocessing time  : 0.000
% 0.16/0.47  %    Propositional encoding time       : 0.000
% 0.16/0.47  %    Propositional solver time         : 0.000
% 0.16/0.47  %    Success case prop preproc time    : 0.000
% 0.16/0.47  %    Success case prop encoding time   : 0.000
% 0.16/0.47  %    Success case prop solver time     : 0.000
% 0.16/0.47  % Current number of processed clauses  : 150
% 0.16/0.47  %    Positive orientable unit clauses  : 31
% 0.16/0.47  %    Positive unorientable unit clauses: 1
% 0.16/0.47  %    Negative unit clauses             : 1
% 0.16/0.47  %    Non-unit-clauses                  : 117
% 0.16/0.47  % Current number of unprocessed clauses: 259
% 0.16/0.47  % ...number of literals in the above   : 649
% 0.16/0.47  % Current number of archived formulas  : 0
% 0.16/0.47  % Current number of archived clauses   : 29
% 0.16/0.47  % Clause-clause subsumption calls (NU) : 1650
% 0.16/0.47  % Rec. Clause-clause subsumption calls : 1088
% 0.16/0.47  % Non-unit clause-clause subsumptions  : 55
% 0.16/0.47  % Unit Clause-clause subsumption calls : 82
% 0.16/0.47  % Rewrite failures with RHS unbound    : 0
% 0.16/0.47  % BW rewrite match attempts            : 22
% 0.16/0.47  % BW rewrite match successes           : 11
% 0.16/0.47  % Condensation attempts                : 0
% 0.16/0.47  % Condensation successes               : 0
% 0.16/0.47  % Termbank termtop insertions          : 10930
% 0.16/0.47  % Search garbage collected termcells   : 185
% 0.16/0.47  
% 0.16/0.47  % -------------------------------------------------
% 0.16/0.47  % User time                : 0.021 s
% 0.16/0.47  % System time              : 0.006 s
% 0.16/0.47  % Total time               : 0.026 s
% 0.16/0.47  % Maximum resident set size: 4000 pages
% 0.16/0.47  
% 0.16/0.47  % -------------------------------------------------
% 0.16/0.47  % User time                : 0.072 s
% 0.16/0.47  % System time              : 0.023 s
% 0.16/0.47  % Total time               : 0.095 s
% 0.16/0.47  % Maximum resident set size: 4864 pages
% 0.16/0.47  % E exiting
%------------------------------------------------------------------------------