TSTP Solution File: SET838-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 19:21:02 EDT 2023

% Result   : Unsatisfiable 0.39s 0.60s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   3 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (  18 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    ( X1 = v_x
    | v_f(v_g(X1)) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.hxrraMH81c/E---3.1_31215.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( v_g(v_f(v_xa(X1))) = v_xa(X1)
    | v_g(v_f(X1)) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.hxrraMH81c/E---3.1_31215.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( v_xa(X1) != X1
    | v_g(v_f(X1)) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.hxrraMH81c/E---3.1_31215.p',cls_conjecture_3) ).

cnf(cls_conjecture_0,negated_conjecture,
    v_f(v_g(v_x)) = v_x,
    file('/export/starexec/sandbox/tmp/tmp.hxrraMH81c/E---3.1_31215.p',cls_conjecture_0) ).

cnf(c_0_4,negated_conjecture,
    ( X1 = v_x
    | v_f(v_g(X1)) != X1 ),
    cls_conjecture_1 ).

cnf(c_0_5,negated_conjecture,
    ( v_g(v_f(v_xa(X1))) = v_xa(X1)
    | v_g(v_f(X1)) != X1 ),
    cls_conjecture_2 ).

cnf(c_0_6,negated_conjecture,
    ( v_f(v_xa(X1)) = v_x
    | v_g(v_f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,negated_conjecture,
    ( v_xa(X1) != X1
    | v_g(v_f(X1)) != X1 ),
    cls_conjecture_3 ).

cnf(c_0_8,negated_conjecture,
    ( v_xa(X1) = v_g(v_x)
    | v_g(v_f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    v_f(v_g(v_x)) = v_x,
    cls_conjecture_0 ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.19  % Problem    : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.20  % Command    : run_E %s %d THM
% 0.19/0.39  % Computer : n021.cluster.edu
% 0.19/0.39  % Model    : x86_64 x86_64
% 0.19/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39  % Memory   : 8042.1875MB
% 0.19/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39  % CPULimit   : 2400
% 0.19/0.39  % WCLimit    : 300
% 0.19/0.39  % DateTime   : Mon Oct  2 16:34:44 EDT 2023
% 0.19/0.39  % CPUTime    : 
% 0.23/0.57  Running first-order theorem proving
% 0.23/0.57  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.hxrraMH81c/E---3.1_31215.p
% 0.39/0.60  # Version: 3.1pre001
% 0.39/0.60  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.39/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.39/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.39/0.60  # Starting sh5l with 300s (1) cores
% 0.39/0.60  # new_bool_3 with pid 31294 completed with status 0
% 0.39/0.60  # Result found by new_bool_3
% 0.39/0.60  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.39/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.39/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.60  # Search class: FHHPF-FFSF11-MFFFFFNN
% 0.39/0.60  # partial match(1): FHHNF-FFSF11-MFFFFFNN
% 0.39/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.60  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.39/0.60  # SAT001_MinMin_p005000_rr_RG with pid 31297 completed with status 0
% 0.39/0.60  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.39/0.60  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.39/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.39/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.60  # Search class: FHHPF-FFSF11-MFFFFFNN
% 0.39/0.60  # partial match(1): FHHNF-FFSF11-MFFFFFNN
% 0.39/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.60  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.39/0.60  # Preprocessing time       : 0.004 s
% 0.39/0.60  # Presaturation interreduction done
% 0.39/0.60  
% 0.39/0.60  # Proof found!
% 0.39/0.60  # SZS status Unsatisfiable
% 0.39/0.60  # SZS output start CNFRefutation
% See solution above
% 0.39/0.60  # Parsed axioms                        : 1361
% 0.39/0.60  # Removed by relevancy pruning/SinE    : 1357
% 0.39/0.60  # Initial clauses                      : 4
% 0.39/0.60  # Removed in clause preprocessing      : 0
% 0.39/0.60  # Initial clauses in saturation        : 4
% 0.39/0.60  # Processed clauses                    : 10
% 0.39/0.60  # ...of these trivial                  : 0
% 0.39/0.60  # ...subsumed                          : 0
% 0.39/0.60  # ...remaining for further processing  : 10
% 0.39/0.60  # Other redundant clauses eliminated   : 1
% 0.39/0.60  # Clauses deleted for lack of memory   : 0
% 0.39/0.60  # Backward-subsumed                    : 0
% 0.39/0.60  # Backward-rewritten                   : 0
% 0.39/0.60  # Generated clauses                    : 6
% 0.39/0.60  # ...of the previous two non-redundant : 2
% 0.39/0.60  # ...aggressively subsumed             : 0
% 0.39/0.60  # Contextual simplify-reflections      : 0
% 0.39/0.60  # Paramodulations                      : 5
% 0.39/0.60  # Factorizations                       : 0
% 0.39/0.60  # NegExts                              : 0
% 0.39/0.60  # Equation resolutions                 : 1
% 0.39/0.60  # Total rewrite steps                  : 3
% 0.39/0.60  # Propositional unsat checks           : 0
% 0.39/0.60  #    Propositional check models        : 0
% 0.39/0.60  #    Propositional check unsatisfiable : 0
% 0.39/0.60  #    Propositional clauses             : 0
% 0.39/0.60  #    Propositional clauses after purity: 0
% 0.39/0.60  #    Propositional unsat core size     : 0
% 0.39/0.60  #    Propositional preprocessing time  : 0.000
% 0.39/0.60  #    Propositional encoding time       : 0.000
% 0.39/0.60  #    Propositional solver time         : 0.000
% 0.39/0.60  #    Success case prop preproc time    : 0.000
% 0.39/0.60  #    Success case prop encoding time   : 0.000
% 0.39/0.60  #    Success case prop solver time     : 0.000
% 0.39/0.60  # Current number of processed clauses  : 6
% 0.39/0.60  #    Positive orientable unit clauses  : 1
% 0.39/0.60  #    Positive unorientable unit clauses: 0
% 0.39/0.60  #    Negative unit clauses             : 0
% 0.39/0.60  #    Non-unit-clauses                  : 5
% 0.39/0.60  # Current number of unprocessed clauses: 0
% 0.39/0.60  # ...number of literals in the above   : 0
% 0.39/0.60  # Current number of archived formulas  : 0
% 0.39/0.60  # Current number of archived clauses   : 4
% 0.39/0.60  # Clause-clause subsumption calls (NU) : 5
% 0.39/0.60  # Rec. Clause-clause subsumption calls : 5
% 0.39/0.60  # Non-unit clause-clause subsumptions  : 0
% 0.39/0.60  # Unit Clause-clause subsumption calls : 0
% 0.39/0.60  # Rewrite failures with RHS unbound    : 0
% 0.39/0.60  # BW rewrite match attempts            : 0
% 0.39/0.60  # BW rewrite match successes           : 0
% 0.39/0.60  # Condensation attempts                : 0
% 0.39/0.60  # Condensation successes               : 0
% 0.39/0.60  # Termbank termtop insertions          : 7833
% 0.39/0.60  
% 0.39/0.60  # -------------------------------------------------
% 0.39/0.60  # User time                : 0.005 s
% 0.39/0.60  # System time              : 0.004 s
% 0.39/0.60  # Total time               : 0.009 s
% 0.39/0.60  # Maximum resident set size: 2844 pages
% 0.39/0.60  
% 0.39/0.60  # -------------------------------------------------
% 0.39/0.60  # User time                : 0.025 s
% 0.39/0.60  # System time              : 0.005 s
% 0.39/0.60  # Total time               : 0.030 s
% 0.39/0.60  # Maximum resident set size: 2400 pages
% 0.39/0.60  % E---3.1 exiting
% 0.39/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------