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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET192-6 : 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 : n001.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 02:13:52 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   28 (   8 unt;   7 nHn;  19 RR)
%            Number of literals    :   54 (   0 equ;  25 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   43 (   3 sgn)

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

cnf(complement1,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(class_elements_are_sets,axiom,
    subclass(X1,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

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_subclass_property9_1,negated_conjecture,
    subclass(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property9_1) ).

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(complement2,axiom,
    ( ~ member(X1,universal_class)
    | member(X1,X2)
    | member(X1,complement(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(prove_subclass_property9_2,negated_conjecture,
    ~ subclass(complement(y),complement(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property9_2) ).

cnf(c_0_8,plain,
    ( ~ member(X3,X1)
    | ~ subclass(X1,X2)
    | member(X3,X2) ),
    inference(fof_simplification,[status(thm)],[subclass_members]) ).

cnf(c_0_9,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    inference(fof_simplification,[status(thm)],[complement1]) ).

cnf(c_0_10,plain,
    ( ~ member(X3,X1)
    | ~ subclass(X1,X2)
    | member(X3,X2) ),
    c_0_8 ).

cnf(c_0_11,axiom,
    subclass(X1,universal_class),
    class_elements_are_sets ).

cnf(c_0_12,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    c_0_9 ).

cnf(c_0_13,axiom,
    ( subclass(X1,X2)
    | member(not_subclass_element(X1,X2),X1) ),
    not_subclass_members1 ).

cnf(c_0_14,negated_conjecture,
    subclass(x,y),
    prove_subclass_property9_1 ).

cnf(c_0_15,plain,
    ( ~ member(not_subclass_element(X1,X2),X2)
    | subclass(X1,X2) ),
    inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).

cnf(c_0_16,plain,
    ( ~ member(X1,universal_class)
    | member(X1,X2)
    | member(X1,complement(X2)) ),
    inference(fof_simplification,[status(thm)],[complement2]) ).

cnf(c_0_17,plain,
    ( ~ member(X1,X2)
    | member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,plain,
    ( ~ member(not_subclass_element(complement(X1),X2),X1)
    | subclass(complement(X1),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ member(X1,x)
    | member(X1,y) ),
    inference(spm,[status(thm)],[c_0_10,c_0_14]) ).

cnf(c_0_20,plain,
    ( ~ member(not_subclass_element(X1,X2),X2)
    | subclass(X1,X2) ),
    c_0_15 ).

cnf(c_0_21,plain,
    ( ~ member(X1,universal_class)
    | member(X1,X2)
    | member(X1,complement(X2)) ),
    c_0_16 ).

cnf(c_0_22,plain,
    ( subclass(X1,X2)
    | member(not_subclass_element(X1,X2),universal_class) ),
    inference(spm,[status(thm)],[c_0_17,c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ~ subclass(complement(y),complement(x)),
    inference(fof_simplification,[status(thm)],[prove_subclass_property9_2]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ member(not_subclass_element(complement(y),X1),x)
    | subclass(complement(y),X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    ( subclass(X1,complement(X2))
    | member(not_subclass_element(X1,complement(X2)),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ~ subclass(complement(y),complement(x)),
    c_0_23 ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET192-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n001.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 21 05:05:28 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.44  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
% 0.19/0.50  % Version: 3.5.1
% 0.19/0.50  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  % Starting sh5l with 300s (1) cores
% 0.19/0.50  % new_bool_3 with pid 2249337 completed with status 9
% 0.19/0.50  % new_bool_1 with pid 2249338 completed with status 9
% 0.19/0.50  % sh5l with pid 2249339 completed with status 0
% 0.19/0.50  % Result found by sh5l
% 0.19/0.50  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  % Starting sh5l with 300s (1) cores
% 0.19/0.50  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.50  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50  % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.50  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.50  % SubtermCWHack with pid 2249342 completed with status 0
% 0.19/0.50  % Result found by SubtermCWHack
% 0.19/0.50  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  % Starting sh5l with 300s (1) cores
% 0.19/0.50  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.50  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50  % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.50  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.50  % Preprocessing time       : 0.002 s
% 0.19/0.50  
% 0.19/0.50  % Proof found!
% 0.19/0.50  % SZS status Unsatisfiable
% 0.19/0.50  % SZS output start CNFRefutation
% See solution above
% 0.19/0.50  % Parsed axioms                        : 114
% 0.19/0.50  % Removed by relevancy pruning/SinE    : 14
% 0.19/0.50  % Initial clauses                      : 100
% 0.19/0.50  % Removed in clause preprocessing      : 0
% 0.19/0.50  % Initial clauses in saturation        : 100
% 0.19/0.50  % Processed clauses                    : 561
% 0.19/0.50  % ...of these trivial                  : 2
% 0.19/0.50  % ...subsumed                          : 207
% 0.19/0.50  % ...remaining for further processing  : 352
% 0.19/0.50  % Other redundant clauses eliminated   : 3
% 0.19/0.50  % Clauses deleted for lack of memory   : 0
% 0.19/0.50  % Backward-subsumed                    : 14
% 0.19/0.50  % Backward-rewritten                   : 7
% 0.19/0.50  % Generated clauses                    : 2011
% 0.19/0.50  % ...of the previous two non-redundant : 1706
% 0.19/0.50  % ...aggressively subsumed             : 0
% 0.19/0.50  % Contextual simplify-reflections      : 2
% 0.19/0.50  % Paramodulations                      : 2008
% 0.19/0.50  % Factorizations                       : 0
% 0.19/0.50  % NegExts                              : 0
% 0.19/0.50  % Equation resolutions                 : 3
% 0.19/0.50  % Disequality decompositions           : 0
% 0.19/0.50  % Total rewrite steps                  : 417
% 0.19/0.50  % ...of those cached                   : 325
% 0.19/0.50  % Propositional unsat checks           : 0
% 0.19/0.50  %    Propositional check models        : 0
% 0.19/0.50  %    Propositional check unsatisfiable : 0
% 0.19/0.50  %    Propositional clauses             : 0
% 0.19/0.50  %    Propositional clauses after purity: 0
% 0.19/0.50  %    Propositional unsat core size     : 0
% 0.19/0.50  %    Propositional preprocessing time  : 0.000
% 0.19/0.50  %    Propositional encoding time       : 0.000
% 0.19/0.50  %    Propositional solver time         : 0.000
% 0.19/0.50  %    Success case prop preproc time    : 0.000
% 0.19/0.50  %    Success case prop encoding time   : 0.000
% 0.19/0.50  %    Success case prop solver time     : 0.000
% 0.19/0.50  % Current number of processed clauses  : 328
% 0.19/0.50  %    Positive orientable unit clauses  : 77
% 0.19/0.50  %    Positive unorientable unit clauses: 7
% 0.19/0.50  %    Negative unit clauses             : 10
% 0.19/0.50  %    Non-unit-clauses                  : 234
% 0.19/0.50  % Current number of unprocessed clauses: 1183
% 0.19/0.50  % ...number of literals in the above   : 3059
% 0.19/0.50  % Current number of archived formulas  : 0
% 0.19/0.50  % Current number of archived clauses   : 21
% 0.19/0.50  % Clause-clause subsumption calls (NU) : 9454
% 0.19/0.50  % Rec. Clause-clause subsumption calls : 8053
% 0.19/0.50  % Non-unit clause-clause subsumptions  : 147
% 0.19/0.50  % Unit Clause-clause subsumption calls : 670
% 0.19/0.50  % Rewrite failures with RHS unbound    : 48
% 0.19/0.50  % BW rewrite match attempts            : 32
% 0.19/0.50  % BW rewrite match successes           : 13
% 0.19/0.50  % Condensation attempts                : 0
% 0.19/0.50  % Condensation successes               : 0
% 0.19/0.50  % Termbank termtop insertions          : 26166
% 0.19/0.50  % Search garbage collected termcells   : 229
% 0.19/0.50  
% 0.19/0.50  % -------------------------------------------------
% 0.19/0.50  % User time                : 0.045 s
% 0.19/0.50  % System time              : 0.005 s
% 0.19/0.50  % Total time               : 0.051 s
% 0.19/0.50  % Maximum resident set size: 3692 pages
% 0.19/0.50  
% 0.19/0.50  % -------------------------------------------------
% 0.19/0.50  % User time                : 0.101 s
% 0.19/0.50  % System time              : 0.044 s
% 0.19/0.50  % Total time               : 0.145 s
% 0.19/0.50  % Maximum resident set size: 4864 pages
% 0.19/0.50  % E exiting
%------------------------------------------------------------------------------