TSTP Solution File: LCL011-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:23:27 EDT 2023

% Result   : Unsatisfiable 0.23s 0.53s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   19 (  10 unt;   0 nHn;   9 RR)
%            Number of literals    :   31 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   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   :   44 (   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/tmp/tmp.h1Iuepribl/E---3.1_9483.p',condensed_detachment) ).

cnf(yqj,axiom,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.h1Iuepribl/E---3.1_9483.p',yqj) ).

cnf(prove_yqf,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
    file('/export/starexec/sandbox/tmp/tmp.h1Iuepribl/E---3.1_9483.p',prove_yqf) ).

cnf(c_0_3,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment ).

cnf(c_0_4,axiom,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3)))),
    yqj ).

cnf(c_0_5,plain,
    ( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X1)))
    | ~ is_a_theorem(equivalent(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,plain,
    ( is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(equivalent(X2,X3))
    | ~ is_a_theorem(equivalent(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_5]) ).

cnf(c_0_7,plain,
    ( is_a_theorem(equivalent(X1,equivalent(X2,X3)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X4,X2),equivalent(X3,X4)),X1)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_4]) ).

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

cnf(c_0_9,plain,
    ( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X4)))
    | ~ is_a_theorem(equivalent(equivalent(X2,X4),equivalent(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),equivalent(equivalent(X3,X1),X3))),
    inference(spm,[status(thm)],[c_0_9,c_0_4]) ).

cnf(c_0_11,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X2,X3)),equivalent(X1,X3))),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,plain,
    is_a_theorem(equivalent(equivalent(X1,X1),equivalent(X2,X2))),
    inference(spm,[status(thm)],[c_0_7,c_0_11]) ).

cnf(c_0_13,plain,
    ( is_a_theorem(equivalent(X1,X1))
    | ~ is_a_theorem(equivalent(X2,X2)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_12]) ).

cnf(c_0_14,plain,
    is_a_theorem(equivalent(X1,X1)),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_15,plain,
    ( is_a_theorem(equivalent(X1,X2))
    | ~ is_a_theorem(equivalent(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
    prove_yqf ).

cnf(c_0_17,plain,
    is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X3,X2)))),
    inference(spm,[status(thm)],[c_0_15,c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 12:36:53 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order model finding
% 0.23/0.52  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/tmp/tmp.h1Iuepribl/E---3.1_9483.p
% 0.23/0.53  # Version: 3.1pre001
% 0.23/0.53  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # sh5l with pid 9563 completed with status 0
% 0.23/0.53  # Result found by sh5l
% 0.23/0.53  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.53  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.23/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 0.23/0.53  # G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 9567 completed with status 0
% 0.23/0.53  # Result found by G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.23/0.53  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.53  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.23/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 0.23/0.53  # Preprocessing time       : 0.001 s
% 0.23/0.53  
% 0.23/0.53  # Proof found!
% 0.23/0.53  # SZS status Unsatisfiable
% 0.23/0.53  # SZS output start CNFRefutation
% See solution above
% 0.23/0.53  # Parsed axioms                        : 3
% 0.23/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.23/0.53  # Initial clauses                      : 3
% 0.23/0.53  # Removed in clause preprocessing      : 0
% 0.23/0.53  # Initial clauses in saturation        : 3
% 0.23/0.53  # Processed clauses                    : 23
% 0.23/0.53  # ...of these trivial                  : 1
% 0.23/0.53  # ...subsumed                          : 0
% 0.23/0.53  # ...remaining for further processing  : 22
% 0.23/0.53  # Other redundant clauses eliminated   : 0
% 0.23/0.53  # Clauses deleted for lack of memory   : 0
% 0.23/0.53  # Backward-subsumed                    : 0
% 0.23/0.53  # Backward-rewritten                   : 3
% 0.23/0.53  # Generated clauses                    : 78
% 0.23/0.53  # ...of the previous two non-redundant : 58
% 0.23/0.53  # ...aggressively subsumed             : 0
% 0.23/0.53  # Contextual simplify-reflections      : 0
% 0.23/0.53  # Paramodulations                      : 78
% 0.23/0.53  # Factorizations                       : 0
% 0.23/0.53  # NegExts                              : 0
% 0.23/0.53  # Equation resolutions                 : 0
% 0.23/0.53  # Total rewrite steps                  : 18
% 0.23/0.53  # Propositional unsat checks           : 0
% 0.23/0.53  #    Propositional check models        : 0
% 0.23/0.53  #    Propositional check unsatisfiable : 0
% 0.23/0.53  #    Propositional clauses             : 0
% 0.23/0.53  #    Propositional clauses after purity: 0
% 0.23/0.53  #    Propositional unsat core size     : 0
% 0.23/0.53  #    Propositional preprocessing time  : 0.000
% 0.23/0.53  #    Propositional encoding time       : 0.000
% 0.23/0.53  #    Propositional solver time         : 0.000
% 0.23/0.53  #    Success case prop preproc time    : 0.000
% 0.23/0.53  #    Success case prop encoding time   : 0.000
% 0.23/0.53  #    Success case prop solver time     : 0.000
% 0.23/0.53  # Current number of processed clauses  : 19
% 0.23/0.53  #    Positive orientable unit clauses  : 12
% 0.23/0.53  #    Positive unorientable unit clauses: 0
% 0.23/0.53  #    Negative unit clauses             : 0
% 0.23/0.53  #    Non-unit-clauses                  : 7
% 0.23/0.53  # Current number of unprocessed clauses: 33
% 0.23/0.53  # ...number of literals in the above   : 62
% 0.23/0.53  # Current number of archived formulas  : 0
% 0.23/0.53  # Current number of archived clauses   : 3
% 0.23/0.53  # Clause-clause subsumption calls (NU) : 13
% 0.23/0.53  # Rec. Clause-clause subsumption calls : 13
% 0.23/0.53  # Non-unit clause-clause subsumptions  : 0
% 0.23/0.53  # Unit Clause-clause subsumption calls : 11
% 0.23/0.53  # Rewrite failures with RHS unbound    : 0
% 0.23/0.53  # BW rewrite match attempts            : 134
% 0.23/0.53  # BW rewrite match successes           : 4
% 0.23/0.53  # Condensation attempts                : 0
% 0.23/0.53  # Condensation successes               : 0
% 0.23/0.53  # Termbank termtop insertions          : 1063
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.002 s
% 0.23/0.53  # System time              : 0.002 s
% 0.23/0.53  # Total time               : 0.004 s
% 0.23/0.53  # Maximum resident set size: 1628 pages
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.003 s
% 0.23/0.53  # System time              : 0.004 s
% 0.23/0.53  # Total time               : 0.007 s
% 0.23/0.53  # Maximum resident set size: 1676 pages
% 0.23/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------