TSTP Solution File: LCL257-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL257-1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : Mon May 20 23:56:17 EDT 2024

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   32 (  22 unt;   0 nHn;  13 RR)
%            Number of literals    :   46 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   75 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(yql,axiom,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),equivalent(X1,X3)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).

cnf(prove_xhn,negated_conjecture,
    ~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xhn) ).

cnf(c_0_3,plain,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(X1) ),
    inference(fof_simplification,[status(thm)],[condensed_detachment]) ).

cnf(c_0_4,plain,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(X1) ),
    c_0_3 ).

cnf(c_0_5,axiom,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),equivalent(X1,X3)))),
    yql ).

cnf(c_0_6,plain,
    ( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X1)))
    | ~ is_a_theorem(equivalent(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,plain,
    ( is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(equivalent(X2,X3))
    | ~ is_a_theorem(equivalent(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_6]) ).

cnf(c_0_8,plain,
    ( is_a_theorem(equivalent(X1,equivalent(X2,X3)))
    | ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X4,X3),equivalent(X2,X4)))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_5]) ).

cnf(c_0_9,plain,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))),
    inference(spm,[status(thm)],[c_0_8,c_0_5]) ).

cnf(c_0_10,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X1)),equivalent(X3,X2))),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,plain,
    ( is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(equivalent(equivalent(X3,X2),equivalent(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_10]) ).

cnf(c_0_12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,X4),X1)),equivalent(X2,X4))),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_13,plain,
    is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,equivalent(X1,X2))),X3))),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,plain,
    is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X3),X1))),X3)),
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_15,plain,
    is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X2,equivalent(X1,X3)),X3)))),
    inference(spm,[status(thm)],[c_0_11,c_0_14]) ).

cnf(c_0_16,plain,
    is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X1,X2)),X3))),
    inference(spm,[status(thm)],[c_0_8,c_0_15]) ).

cnf(c_0_17,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)),X3)),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_18,plain,
    is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X2))),X3))),
    inference(spm,[status(thm)],[c_0_11,c_0_17]) ).

cnf(c_0_19,plain,
    is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X1))),X3)),
    inference(spm,[status(thm)],[c_0_11,c_0_18]) ).

cnf(c_0_20,plain,
    is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X2,X3)))),
    inference(spm,[status(thm)],[c_0_11,c_0_19]) ).

cnf(c_0_21,plain,
    is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X1,X2)))),
    inference(spm,[status(thm)],[c_0_8,c_0_20]) ).

cnf(c_0_22,plain,
    ( is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(equivalent(X1,equivalent(X3,equivalent(X2,X3)))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_21]) ).

cnf(c_0_23,plain,
    is_a_theorem(equivalent(X1,X1)),
    inference(spm,[status(thm)],[c_0_11,c_0_9]) ).

cnf(c_0_24,plain,
    is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X1)),X2)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(equivalent(X2,equivalent(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_24]) ).

cnf(c_0_26,plain,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,X1))),
    inference(spm,[status(thm)],[c_0_25,c_0_16]) ).

cnf(c_0_27,negated_conjecture,
    ~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
    inference(fof_simplification,[status(thm)],[prove_xhn]) ).

cnf(c_0_28,plain,
    ( is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(equivalent(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
    c_0_27 ).

cnf(c_0_30,plain,
    is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),
    inference(spm,[status(thm)],[c_0_28,c_0_17]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL257-1 : TPTP v8.2.0. Released v2.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 00:49:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  # Version: 3.1.0
% 0.19/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # new_bool_1 with pid 12062 completed with status 0
% 0.19/0.49  # Result found by new_bool_1
% 0.19/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 0.19/0.49  # G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 12068 completed with status 0
% 0.19/0.49  # Result found by G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.19/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Unsatisfiable
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 3
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.49  # Initial clauses                      : 3
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 3
% 0.19/0.49  # Processed clauses                    : 85
% 0.19/0.49  # ...of these trivial                  : 2
% 0.19/0.49  # ...subsumed                          : 30
% 0.19/0.49  # ...remaining for further processing  : 53
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 2
% 0.19/0.49  # Generated clauses                    : 299
% 0.19/0.49  # ...of the previous two non-redundant : 221
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 299
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 60
% 0.19/0.49  # ...of those cached                   : 43
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 51
% 0.19/0.49  #    Positive orientable unit clauses  : 34
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 0
% 0.19/0.49  #    Non-unit-clauses                  : 17
% 0.19/0.49  # Current number of unprocessed clauses: 139
% 0.19/0.49  # ...number of literals in the above   : 244
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 2
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 119
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 119
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 30
% 0.19/0.49  # Unit Clause-clause subsumption calls : 14
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 451
% 0.19/0.49  # BW rewrite match successes           : 2
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 3326
% 0.19/0.49  # Search garbage collected termcells   : 8
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.007 s
% 0.19/0.49  # System time              : 0.002 s
% 0.19/0.49  # Total time               : 0.008 s
% 0.19/0.49  # Maximum resident set size: 1628 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.008 s
% 0.19/0.49  # System time              : 0.004 s
% 0.19/0.49  # Total time               : 0.011 s
% 0.19/0.49  # Maximum resident set size: 1696 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------