TSTP Solution File: FLD067-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : FLD067-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 17:30:46 EDT 2023

% Result   : Unsatisfiable 4.46s 0.99s
% Output   : CNFRefutation 4.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (   7 unt;   0 nHn;  17 RR)
%            Number of literals    :   34 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(compatibility_of_equality_and_order_relation,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X2)
    | ~ equalish(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.MyEuFE7smk/E---3.1_28145.p',compatibility_of_equality_and_order_relation) ).

cnf(compatibility_of_order_relation_and_addition,axiom,
    ( less_or_equal(add(X1,X2),add(X3,X2))
    | ~ defined(X2)
    | ~ less_or_equal(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.MyEuFE7smk/E---3.1_28145.p',compatibility_of_order_relation_and_addition) ).

cnf(existence_of_inverse_addition,axiom,
    ( equalish(add(X1,additive_inverse(X1)),additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.MyEuFE7smk/E---3.1_28145.p',existence_of_inverse_addition) ).

cnf(well_definedness_of_additive_inverse,axiom,
    ( defined(additive_inverse(X1))
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.MyEuFE7smk/E---3.1_28145.p',well_definedness_of_additive_inverse) ).

cnf(not_less_or_equal_4,negated_conjecture,
    ~ less_or_equal(additive_identity,add(b,additive_inverse(a))),
    file('/export/starexec/sandbox/tmp/tmp.MyEuFE7smk/E---3.1_28145.p',not_less_or_equal_4) ).

cnf(less_or_equal_3,negated_conjecture,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/tmp/tmp.MyEuFE7smk/E---3.1_28145.p',less_or_equal_3) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox/tmp/tmp.MyEuFE7smk/E---3.1_28145.p',a_is_defined) ).

cnf(c_0_7,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X2)
    | ~ equalish(X3,X1) ),
    compatibility_of_equality_and_order_relation ).

cnf(c_0_8,axiom,
    ( less_or_equal(add(X1,X2),add(X3,X2))
    | ~ defined(X2)
    | ~ less_or_equal(X1,X3) ),
    compatibility_of_order_relation_and_addition ).

cnf(c_0_9,plain,
    ( less_or_equal(X1,add(X2,X3))
    | ~ less_or_equal(X4,X2)
    | ~ defined(X3)
    | ~ equalish(add(X4,X3),X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    ( equalish(add(X1,additive_inverse(X1)),additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_addition ).

cnf(c_0_11,axiom,
    ( defined(additive_inverse(X1))
    | ~ defined(X1) ),
    well_definedness_of_additive_inverse ).

cnf(c_0_12,negated_conjecture,
    ~ less_or_equal(additive_identity,add(b,additive_inverse(a))),
    not_less_or_equal_4 ).

cnf(c_0_13,plain,
    ( less_or_equal(additive_identity,add(X1,additive_inverse(X2)))
    | ~ less_or_equal(X2,X1)
    | ~ defined(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    less_or_equal(a,b),
    less_or_equal_3 ).

cnf(c_0_15,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : FLD067-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n016.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 23:52:22 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  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.MyEuFE7smk/E---3.1_28145.p
% 4.46/0.99  # Version: 3.1pre001
% 4.46/0.99  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.46/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.46/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.46/0.99  # Starting new_bool_3 with 300s (1) cores
% 4.46/0.99  # Starting new_bool_1 with 300s (1) cores
% 4.46/0.99  # Starting sh5l with 300s (1) cores
% 4.46/0.99  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28222 completed with status 0
% 4.46/0.99  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.46/0.99  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.46/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.46/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.46/0.99  # No SInE strategy applied
% 4.46/0.99  # Search class: FGUNF-FFMS21-SFFFFFNN
% 4.46/0.99  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.46/0.99  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 4.46/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.46/0.99  # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.46/0.99  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.46/0.99  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 136s (1) cores
% 4.46/0.99  # G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 28231 completed with status 0
% 4.46/0.99  # Result found by G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.46/0.99  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.46/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.46/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.46/0.99  # No SInE strategy applied
% 4.46/0.99  # Search class: FGUNF-FFMS21-SFFFFFNN
% 4.46/0.99  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.46/0.99  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 4.46/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.46/0.99  # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.46/0.99  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.46/0.99  # Preprocessing time       : 0.001 s
% 4.46/0.99  # Presaturation interreduction done
% 4.46/0.99  
% 4.46/0.99  # Proof found!
% 4.46/0.99  # SZS status Unsatisfiable
% 4.46/0.99  # SZS output start CNFRefutation
% See solution above
% 4.46/0.99  # Parsed axioms                        : 31
% 4.46/0.99  # Removed by relevancy pruning/SinE    : 0
% 4.46/0.99  # Initial clauses                      : 31
% 4.46/0.99  # Removed in clause preprocessing      : 0
% 4.46/0.99  # Initial clauses in saturation        : 31
% 4.46/0.99  # Processed clauses                    : 5264
% 4.46/0.99  # ...of these trivial                  : 27
% 4.46/0.99  # ...subsumed                          : 2965
% 4.46/0.99  # ...remaining for further processing  : 2272
% 4.46/0.99  # Other redundant clauses eliminated   : 0
% 4.46/0.99  # Clauses deleted for lack of memory   : 0
% 4.46/0.99  # Backward-subsumed                    : 244
% 4.46/0.99  # Backward-rewritten                   : 10
% 4.46/0.99  # Generated clauses                    : 25923
% 4.46/0.99  # ...of the previous two non-redundant : 24887
% 4.46/0.99  # ...aggressively subsumed             : 0
% 4.46/0.99  # Contextual simplify-reflections      : 19
% 4.46/0.99  # Paramodulations                      : 25923
% 4.46/0.99  # Factorizations                       : 0
% 4.46/0.99  # NegExts                              : 0
% 4.46/0.99  # Equation resolutions                 : 0
% 4.46/0.99  # Total rewrite steps                  : 5901
% 4.46/0.99  # Propositional unsat checks           : 0
% 4.46/0.99  #    Propositional check models        : 0
% 4.46/0.99  #    Propositional check unsatisfiable : 0
% 4.46/0.99  #    Propositional clauses             : 0
% 4.46/0.99  #    Propositional clauses after purity: 0
% 4.46/0.99  #    Propositional unsat core size     : 0
% 4.46/0.99  #    Propositional preprocessing time  : 0.000
% 4.46/0.99  #    Propositional encoding time       : 0.000
% 4.46/0.99  #    Propositional solver time         : 0.000
% 4.46/0.99  #    Success case prop preproc time    : 0.000
% 4.46/0.99  #    Success case prop encoding time   : 0.000
% 4.46/0.99  #    Success case prop solver time     : 0.000
% 4.46/0.99  # Current number of processed clauses  : 1987
% 4.46/0.99  #    Positive orientable unit clauses  : 33
% 4.46/0.99  #    Positive unorientable unit clauses: 0
% 4.46/0.99  #    Negative unit clauses             : 2
% 4.46/0.99  #    Non-unit-clauses                  : 1952
% 4.46/0.99  # Current number of unprocessed clauses: 19472
% 4.46/0.99  # ...number of literals in the above   : 68845
% 4.46/0.99  # Current number of archived formulas  : 0
% 4.46/0.99  # Current number of archived clauses   : 285
% 4.46/0.99  # Clause-clause subsumption calls (NU) : 239255
% 4.46/0.99  # Rec. Clause-clause subsumption calls : 167460
% 4.46/0.99  # Non-unit clause-clause subsumptions  : 3194
% 4.46/0.99  # Unit Clause-clause subsumption calls : 1198
% 4.46/0.99  # Rewrite failures with RHS unbound    : 0
% 4.46/0.99  # BW rewrite match attempts            : 16
% 4.46/0.99  # BW rewrite match successes           : 16
% 4.46/0.99  # Condensation attempts                : 0
% 4.46/0.99  # Condensation successes               : 0
% 4.46/0.99  # Termbank termtop insertions          : 394853
% 4.46/0.99  
% 4.46/0.99  # -------------------------------------------------
% 4.46/0.99  # User time                : 0.531 s
% 4.46/0.99  # System time              : 0.018 s
% 4.46/0.99  # Total time               : 0.549 s
% 4.46/0.99  # Maximum resident set size: 1648 pages
% 4.46/0.99  
% 4.46/0.99  # -------------------------------------------------
% 4.46/0.99  # User time                : 2.661 s
% 4.46/0.99  # System time              : 0.084 s
% 4.46/0.99  # Total time               : 2.745 s
% 4.46/0.99  # Maximum resident set size: 1692 pages
% 4.46/0.99  % E---3.1 exiting
%------------------------------------------------------------------------------