TSTP Solution File: FLD058-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : FLD058-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 17:30:43 EDT 2023

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  12 unt;   0 nHn;  22 RR)
%            Number of literals    :   38 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(symmetry_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.SbQO3YqCxl/E---3.1_12201.p',symmetry_of_equality) ).

cnf(b_equals_additive_identity_6,negated_conjecture,
    equalish(b,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.SbQO3YqCxl/E---3.1_12201.p',b_equals_additive_identity_6) ).

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.SbQO3YqCxl/E---3.1_12201.p',compatibility_of_equality_and_order_relation) ).

cnf(less_or_equal_3,negated_conjecture,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/tmp/tmp.SbQO3YqCxl/E---3.1_12201.p',less_or_equal_3) ).

cnf(transitivity_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.SbQO3YqCxl/E---3.1_12201.p',transitivity_of_equality) ).

cnf(antisymmetry_of_order_relation,axiom,
    ( equalish(X1,X2)
    | ~ less_or_equal(X1,X2)
    | ~ less_or_equal(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.SbQO3YqCxl/E---3.1_12201.p',antisymmetry_of_order_relation) ).

cnf(less_or_equal_4,negated_conjecture,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/tmp/tmp.SbQO3YqCxl/E---3.1_12201.p',less_or_equal_4) ).

cnf(a_not_equal_to_additive_identity_5,negated_conjecture,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.SbQO3YqCxl/E---3.1_12201.p',a_not_equal_to_additive_identity_5) ).

cnf(c_0_8,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    symmetry_of_equality ).

cnf(c_0_9,negated_conjecture,
    equalish(b,additive_identity),
    b_equals_additive_identity_6 ).

cnf(c_0_10,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X2)
    | ~ equalish(X3,X1) ),
    compatibility_of_equality_and_order_relation ).

cnf(c_0_11,negated_conjecture,
    equalish(additive_identity,b),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( less_or_equal(b,X1)
    | ~ less_or_equal(additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    less_or_equal(additive_identity,a),
    less_or_equal_3 ).

cnf(c_0_14,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    transitivity_of_equality ).

cnf(c_0_15,axiom,
    ( equalish(X1,X2)
    | ~ less_or_equal(X1,X2)
    | ~ less_or_equal(X2,X1) ),
    antisymmetry_of_order_relation ).

cnf(c_0_16,negated_conjecture,
    less_or_equal(b,a),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    less_or_equal(a,b),
    less_or_equal_4 ).

cnf(c_0_18,negated_conjecture,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,b) ),
    inference(spm,[status(thm)],[c_0_14,c_0_9]) ).

cnf(c_0_19,negated_conjecture,
    equalish(a,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_20,negated_conjecture,
    ~ equalish(a,additive_identity),
    a_not_equal_to_additive_identity_5 ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : FLD058-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n008.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 23:01:43 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.40  Running first-order model finding
% 0.14/0.40  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.SbQO3YqCxl/E---3.1_12201.p
% 0.14/0.41  # Version: 3.1pre001
% 0.14/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # sh5l with pid 12281 completed with status 0
% 0.14/0.41  # Result found by sh5l
% 0.14/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.41  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.14/0.41  # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 12287 completed with status 0
% 0.14/0.41  # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.14/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.41  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.14/0.41  # Preprocessing time       : 0.001 s
% 0.14/0.41  
% 0.14/0.41  # Proof found!
% 0.14/0.41  # SZS status Unsatisfiable
% 0.14/0.41  # SZS output start CNFRefutation
% See solution above
% 0.14/0.41  # Parsed axioms                        : 33
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.41  # Initial clauses                      : 33
% 0.14/0.41  # Removed in clause preprocessing      : 0
% 0.14/0.41  # Initial clauses in saturation        : 33
% 0.14/0.41  # Processed clauses                    : 50
% 0.14/0.41  # ...of these trivial                  : 0
% 0.14/0.41  # ...subsumed                          : 1
% 0.14/0.41  # ...remaining for further processing  : 49
% 0.14/0.41  # Other redundant clauses eliminated   : 0
% 0.14/0.41  # Clauses deleted for lack of memory   : 0
% 0.14/0.41  # Backward-subsumed                    : 0
% 0.14/0.41  # Backward-rewritten                   : 1
% 0.14/0.41  # Generated clauses                    : 137
% 0.14/0.41  # ...of the previous two non-redundant : 111
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 0
% 0.14/0.41  # Paramodulations                      : 135
% 0.14/0.41  # Factorizations                       : 2
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 0
% 0.14/0.41  # Total rewrite steps                  : 44
% 0.14/0.41  # Propositional unsat checks           : 0
% 0.14/0.41  #    Propositional check models        : 0
% 0.14/0.41  #    Propositional check unsatisfiable : 0
% 0.14/0.41  #    Propositional clauses             : 0
% 0.14/0.41  #    Propositional clauses after purity: 0
% 0.14/0.41  #    Propositional unsat core size     : 0
% 0.14/0.41  #    Propositional preprocessing time  : 0.000
% 0.14/0.41  #    Propositional encoding time       : 0.000
% 0.14/0.41  #    Propositional solver time         : 0.000
% 0.14/0.41  #    Success case prop preproc time    : 0.000
% 0.14/0.41  #    Success case prop encoding time   : 0.000
% 0.14/0.41  #    Success case prop solver time     : 0.000
% 0.14/0.41  # Current number of processed clauses  : 48
% 0.14/0.41  #    Positive orientable unit clauses  : 15
% 0.14/0.41  #    Positive unorientable unit clauses: 0
% 0.14/0.41  #    Negative unit clauses             : 3
% 0.14/0.41  #    Non-unit-clauses                  : 30
% 0.14/0.41  # Current number of unprocessed clauses: 90
% 0.14/0.41  # ...number of literals in the above   : 282
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 1
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 100
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 90
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 1
% 0.14/0.41  # Unit Clause-clause subsumption calls : 2
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 1
% 0.14/0.41  # BW rewrite match successes           : 1
% 0.14/0.41  # Condensation attempts                : 0
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 2129
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.005 s
% 0.14/0.41  # System time              : 0.000 s
% 0.14/0.41  # Total time               : 0.005 s
% 0.14/0.41  # Maximum resident set size: 1624 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.005 s
% 0.14/0.41  # System time              : 0.003 s
% 0.14/0.41  # Total time               : 0.008 s
% 0.14/0.41  # Maximum resident set size: 1696 pages
% 0.14/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------