TSTP Solution File: SYN083+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 20:29:14 EDT 2023

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn;  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel61,conjecture,
    ! [X1,X2,X3,X4] : f(X1,f(X2,f(X3,X4))) = f(f(f(X1,X2),X3),X4),
    file('/export/starexec/sandbox/tmp/tmp.WI2Kd3cbm8/E---3.1_19306.p',pel61) ).

fof(p61_1,axiom,
    ! [X1,X2,X3] : f(X1,f(X2,X3)) = f(f(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.WI2Kd3cbm8/E---3.1_19306.p',p61_1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3,X4] : f(X1,f(X2,f(X3,X4))) = f(f(f(X1,X2),X3),X4),
    inference(assume_negation,[status(cth)],[pel61]) ).

fof(c_0_3,negated_conjecture,
    f(esk1_0,f(esk2_0,f(esk3_0,esk4_0))) != f(f(f(esk1_0,esk2_0),esk3_0),esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,plain,
    ! [X9,X10,X11] : f(X9,f(X10,X11)) = f(f(X9,X10),X11),
    inference(variable_rename,[status(thm)],[p61_1]) ).

cnf(c_0_5,negated_conjecture,
    f(esk1_0,f(esk2_0,f(esk3_0,esk4_0))) != f(f(f(esk1_0,esk2_0),esk3_0),esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    f(X1,f(X2,X3)) = f(f(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]),c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Oct  2 18:54:19 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.37  Running first-order model finding
% 0.13/0.37  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.WI2Kd3cbm8/E---3.1_19306.p
% 0.13/0.38  # Version: 3.1pre001
% 0.13/0.38  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.38  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.38  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.38  # Starting sh5l with 300s (1) cores
% 0.13/0.38  # new_bool_3 with pid 19554 completed with status 0
% 0.13/0.38  # Result found by new_bool_3
% 0.13/0.38  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.38  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.38  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.38  # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.13/0.38  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.38  # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.13/0.38  # G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with pid 19561 completed with status 0
% 0.13/0.38  # Result found by G-E--_209_C18_F1_AE_CS_SP_PI_S0Y
% 0.13/0.38  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.38  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.38  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.38  # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.13/0.38  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.38  # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.13/0.38  # Preprocessing time       : 0.001 s
% 0.13/0.38  
% 0.13/0.38  # Proof found!
% 0.13/0.38  # SZS status Theorem
% 0.13/0.38  # SZS output start CNFRefutation
% See solution above
% 0.13/0.38  # Parsed axioms                        : 2
% 0.13/0.38  # Removed by relevancy pruning/SinE    : 0
% 0.13/0.38  # Initial clauses                      : 2
% 0.13/0.38  # Removed in clause preprocessing      : 0
% 0.13/0.38  # Initial clauses in saturation        : 2
% 0.13/0.38  # Processed clauses                    : 2
% 0.13/0.38  # ...of these trivial                  : 0
% 0.13/0.38  # ...subsumed                          : 0
% 0.13/0.38  # ...remaining for further processing  : 1
% 0.13/0.38  # Other redundant clauses eliminated   : 0
% 0.13/0.38  # Clauses deleted for lack of memory   : 0
% 0.13/0.38  # Backward-subsumed                    : 0
% 0.13/0.38  # Backward-rewritten                   : 0
% 0.13/0.38  # Generated clauses                    : 1
% 0.13/0.38  # ...of the previous two non-redundant : 0
% 0.13/0.38  # ...aggressively subsumed             : 0
% 0.13/0.38  # Contextual simplify-reflections      : 0
% 0.13/0.38  # Paramodulations                      : 1
% 0.13/0.38  # Factorizations                       : 0
% 0.13/0.38  # NegExts                              : 0
% 0.13/0.38  # Equation resolutions                 : 0
% 0.13/0.38  # Total rewrite steps                  : 6
% 0.13/0.38  # Propositional unsat checks           : 0
% 0.13/0.38  #    Propositional check models        : 0
% 0.13/0.38  #    Propositional check unsatisfiable : 0
% 0.13/0.38  #    Propositional clauses             : 0
% 0.13/0.38  #    Propositional clauses after purity: 0
% 0.13/0.38  #    Propositional unsat core size     : 0
% 0.13/0.38  #    Propositional preprocessing time  : 0.000
% 0.13/0.38  #    Propositional encoding time       : 0.000
% 0.13/0.38  #    Propositional solver time         : 0.000
% 0.13/0.38  #    Success case prop preproc time    : 0.000
% 0.13/0.38  #    Success case prop encoding time   : 0.000
% 0.13/0.38  #    Success case prop solver time     : 0.000
% 0.13/0.38  # Current number of processed clauses  : 1
% 0.13/0.38  #    Positive orientable unit clauses  : 1
% 0.13/0.38  #    Positive unorientable unit clauses: 0
% 0.13/0.38  #    Negative unit clauses             : 0
% 0.13/0.38  #    Non-unit-clauses                  : 0
% 0.13/0.38  # Current number of unprocessed clauses: 0
% 0.13/0.38  # ...number of literals in the above   : 0
% 0.13/0.38  # Current number of archived formulas  : 0
% 0.13/0.38  # Current number of archived clauses   : 0
% 0.13/0.38  # Clause-clause subsumption calls (NU) : 0
% 0.13/0.38  # Rec. Clause-clause subsumption calls : 0
% 0.13/0.38  # Non-unit clause-clause subsumptions  : 0
% 0.13/0.38  # Unit Clause-clause subsumption calls : 0
% 0.13/0.38  # Rewrite failures with RHS unbound    : 0
% 0.13/0.38  # BW rewrite match attempts            : 0
% 0.13/0.38  # BW rewrite match successes           : 0
% 0.13/0.38  # Condensation attempts                : 0
% 0.13/0.38  # Condensation successes               : 0
% 0.13/0.38  # Termbank termtop insertions          : 161
% 0.13/0.38  
% 0.13/0.38  # -------------------------------------------------
% 0.13/0.38  # User time                : 0.002 s
% 0.13/0.38  # System time              : 0.000 s
% 0.13/0.38  # Total time               : 0.002 s
% 0.13/0.38  # Maximum resident set size: 1620 pages
% 0.13/0.38  
% 0.13/0.38  # -------------------------------------------------
% 0.13/0.38  # User time                : 0.002 s
% 0.13/0.38  # System time              : 0.002 s
% 0.13/0.38  # Total time               : 0.004 s
% 0.13/0.38  # Maximum resident set size: 1664 pages
% 0.13/0.38  % E---3.1 exiting
%------------------------------------------------------------------------------