TSTP Solution File: REL014+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : REL014+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Sat May  4 09:13:30 EDT 2024

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  14 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   2   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
    ! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    file('/export/starexec/sandbox/tmp/tmp.5IH9XrtusL/E---3.1_5032.p',converse_multiplicativity) ).

fof(composition_identity,axiom,
    ! [X1] : composition(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/tmp.5IH9XrtusL/E---3.1_5032.p',composition_identity) ).

fof(converse_idempotence,axiom,
    ! [X1] : converse(converse(X1)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.5IH9XrtusL/E---3.1_5032.p',converse_idempotence) ).

fof(goals,conjecture,
    ! [X1] :
      ( composition(X1,one) = X1
      & composition(one,X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.5IH9XrtusL/E---3.1_5032.p',goals) ).

fof(c_0_4,plain,
    ! [X11,X12] : converse(composition(X11,X12)) = composition(converse(X12),converse(X11)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

fof(c_0_5,plain,
    ! [X15] : composition(X15,one) = X15,
    inference(variable_rename,[status(thm)],[composition_identity]) ).

cnf(c_0_6,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    composition(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X21] : converse(converse(X21)) = X21,
    inference(variable_rename,[status(thm)],[converse_idempotence]) ).

cnf(c_0_9,plain,
    composition(converse(one),converse(X1)) = converse(X1),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    converse(converse(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( composition(X1,one) = X1
        & composition(one,X1) = X1 ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_12,plain,
    composition(converse(one),X1) = X1,
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

fof(c_0_13,negated_conjecture,
    ( composition(esk1_0,one) != esk1_0
    | composition(one,esk1_0) != esk1_0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

cnf(c_0_14,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( composition(esk1_0,one) != esk1_0
    | composition(one,esk1_0) != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_12,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_7])]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : REL014+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n013.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   : Fri May  3 09:36:04 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.5IH9XrtusL/E---3.1_5032.p
% 0.20/0.49  # Version: 3.1.0
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # new_bool_3 with pid 5154 completed with status 0
% 0.20/0.49  # Result found by new_bool_3
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FUHPM-FFSF21-MFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 0.20/0.49  # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 5163 completed with status 0
% 0.20/0.49  # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FUHPM-FFSF21-MFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 14
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 3
% 0.20/0.49  # Initial clauses                      : 11
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 11
% 0.20/0.49  # Processed clauses                    : 21
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 2
% 0.20/0.49  # ...remaining for further processing  : 18
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 0
% 0.20/0.49  # Backward-rewritten                   : 4
% 0.20/0.49  # Generated clauses                    : 91
% 0.20/0.49  # ...of the previous two non-redundant : 72
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 91
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 97
% 0.20/0.49  # ...of those cached                   : 33
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 14
% 0.20/0.49  #    Positive orientable unit clauses  : 12
% 0.20/0.49  #    Positive unorientable unit clauses: 2
% 0.20/0.49  #    Negative unit clauses             : 0
% 0.20/0.49  #    Non-unit-clauses                  : 0
% 0.20/0.49  # Current number of unprocessed clauses: 61
% 0.20/0.49  # ...number of literals in the above   : 61
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 4
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.49  # Unit Clause-clause subsumption calls : 0
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 7
% 0.20/0.49  # BW rewrite match successes           : 4
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 1413
% 0.20/0.49  # Search garbage collected termcells   : 32
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.004 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.006 s
% 0.20/0.49  # Maximum resident set size: 1748 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.005 s
% 0.20/0.49  # System time              : 0.005 s
% 0.20/0.49  # Total time               : 0.009 s
% 0.20/0.49  # Maximum resident set size: 1696 pages
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------