TSTP Solution File: SET027-3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SET027-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:57:03 EDT 2024

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (  10 unt;   2 nHn;  19 RR)
%            Number of literals    :   35 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(subset1,axiom,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).

cnf(subset3,axiom,
    ( subset(X1,X2)
    | ~ member(f17(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset3) ).

cnf(b_subset_c,hypothesis,
    subset(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_c) ).

cnf(prove_a_subset_c,negated_conjecture,
    ~ subset(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_subset_c) ).

cnf(a_subset_b,hypothesis,
    subset(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_b) ).

cnf(subset2,axiom,
    ( subset(X1,X2)
    | member(f17(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset2) ).

cnf(c_0_6,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    inference(fof_simplification,[status(thm)],[subset1]) ).

cnf(c_0_7,plain,
    ( subset(X1,X2)
    | ~ member(f17(X1,X2),X2) ),
    inference(fof_simplification,[status(thm)],[subset3]) ).

cnf(c_0_8,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    c_0_6 ).

cnf(c_0_9,hypothesis,
    subset(b,c),
    b_subset_c ).

cnf(c_0_10,negated_conjecture,
    ~ subset(a,c),
    inference(fof_simplification,[status(thm)],[prove_a_subset_c]) ).

cnf(c_0_11,plain,
    ( subset(X1,X2)
    | ~ member(f17(X1,X2),X2) ),
    c_0_7 ).

cnf(c_0_12,hypothesis,
    ( member(X1,c)
    | ~ member(X1,b) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    ~ subset(a,c),
    c_0_10 ).

cnf(c_0_14,hypothesis,
    ( subset(X1,c)
    | ~ member(f17(X1,c),b) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,hypothesis,
    subset(a,b),
    a_subset_b ).

cnf(c_0_16,negated_conjecture,
    ~ member(f17(a,c),b),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,hypothesis,
    ( member(X1,b)
    | ~ member(X1,a) ),
    inference(spm,[status(thm)],[c_0_8,c_0_15]) ).

cnf(c_0_18,axiom,
    ( subset(X1,X2)
    | member(f17(X1,X2),X1) ),
    subset2 ).

cnf(c_0_19,hypothesis,
    ~ member(f17(a,c),a),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET027-3 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 12:17:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53  # Version: 3.1.0
% 0.20/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.53  # Starting sh5l with 300s (1) cores
% 0.20/0.53  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 9065 completed with status 0
% 0.20/0.53  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FGHSS-FFLS31-MFFFFFNN
% 0.20/0.53  # partial match(1): FGHSM-FFLS31-MFFFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 664s (1) cores
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.53  # Starting new_bool_3 with 216s (1) cores
% 0.20/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2i with 136s (1) cores
% 0.20/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S021I with 136s (1) cores
% 0.20/0.53  # G-E--_208_C18_F1_SE_CS_SP_PS_S021I with pid 9078 completed with status 0
% 0.20/0.53  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S021I
% 0.20/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FGHSS-FFLS31-MFFFFFNN
% 0.20/0.53  # partial match(1): FGHSM-FFLS31-MFFFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 664s (1) cores
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.53  # Starting new_bool_3 with 216s (1) cores
% 0.20/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2i with 136s (1) cores
% 0.20/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S021I with 136s (1) cores
% 0.20/0.53  # Preprocessing time       : 0.004 s
% 0.20/0.53  # Presaturation interreduction done
% 0.20/0.53  
% 0.20/0.53  # Proof found!
% 0.20/0.53  # SZS status Unsatisfiable
% 0.20/0.53  # SZS output start CNFRefutation
% See solution above
% 0.20/0.53  # Parsed axioms                        : 155
% 0.20/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.53  # Initial clauses                      : 155
% 0.20/0.53  # Removed in clause preprocessing      : 6
% 0.20/0.53  # Initial clauses in saturation        : 149
% 0.20/0.53  # Processed clauses                    : 237
% 0.20/0.53  # ...of these trivial                  : 1
% 0.20/0.53  # ...subsumed                          : 3
% 0.20/0.53  # ...remaining for further processing  : 233
% 0.20/0.53  # Other redundant clauses eliminated   : 14
% 0.20/0.53  # Clauses deleted for lack of memory   : 0
% 0.20/0.53  # Backward-subsumed                    : 1
% 0.20/0.53  # Backward-rewritten                   : 0
% 0.20/0.53  # Generated clauses                    : 100
% 0.20/0.53  # ...of the previous two non-redundant : 93
% 0.20/0.53  # ...aggressively subsumed             : 0
% 0.20/0.53  # Contextual simplify-reflections      : 7
% 0.20/0.53  # Paramodulations                      : 86
% 0.20/0.53  # Factorizations                       : 0
% 0.20/0.53  # NegExts                              : 0
% 0.20/0.53  # Equation resolutions                 : 14
% 0.20/0.53  # Disequality decompositions           : 0
% 0.20/0.53  # Total rewrite steps                  : 4
% 0.20/0.53  # ...of those cached                   : 2
% 0.20/0.53  # Propositional unsat checks           : 0
% 0.20/0.53  #    Propositional check models        : 0
% 0.20/0.53  #    Propositional check unsatisfiable : 0
% 0.20/0.53  #    Propositional clauses             : 0
% 0.20/0.53  #    Propositional clauses after purity: 0
% 0.20/0.53  #    Propositional unsat core size     : 0
% 0.20/0.53  #    Propositional preprocessing time  : 0.000
% 0.20/0.53  #    Propositional encoding time       : 0.000
% 0.20/0.53  #    Propositional solver time         : 0.000
% 0.20/0.53  #    Success case prop preproc time    : 0.000
% 0.20/0.53  #    Success case prop encoding time   : 0.000
% 0.20/0.53  #    Success case prop solver time     : 0.000
% 0.20/0.53  # Current number of processed clauses  : 71
% 0.20/0.53  #    Positive orientable unit clauses  : 10
% 0.20/0.53  #    Positive unorientable unit clauses: 0
% 0.20/0.53  #    Negative unit clauses             : 5
% 0.20/0.53  #    Non-unit-clauses                  : 56
% 0.20/0.53  # Current number of unprocessed clauses: 150
% 0.20/0.53  # ...number of literals in the above   : 369
% 0.20/0.53  # Current number of archived formulas  : 0
% 0.20/0.53  # Current number of archived clauses   : 154
% 0.20/0.53  # Clause-clause subsumption calls (NU) : 6463
% 0.20/0.53  # Rec. Clause-clause subsumption calls : 2825
% 0.20/0.53  # Non-unit clause-clause subsumptions  : 11
% 0.20/0.53  # Unit Clause-clause subsumption calls : 41
% 0.20/0.53  # Rewrite failures with RHS unbound    : 0
% 0.20/0.53  # BW rewrite match attempts            : 0
% 0.20/0.53  # BW rewrite match successes           : 0
% 0.20/0.53  # Condensation attempts                : 0
% 0.20/0.53  # Condensation successes               : 0
% 0.20/0.53  # Termbank termtop insertions          : 6794
% 0.20/0.53  # Search garbage collected termcells   : 343
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.021 s
% 0.20/0.53  # System time              : 0.010 s
% 0.20/0.53  # Total time               : 0.031 s
% 0.20/0.53  # Maximum resident set size: 2096 pages
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.113 s
% 0.20/0.53  # System time              : 0.019 s
% 0.20/0.53  # Total time               : 0.132 s
% 0.20/0.53  # Maximum resident set size: 1836 pages
% 0.20/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------