TSTP Solution File: FLD067-4 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : FLD067-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 17:30:15 EDT 2023

% Result   : Unsatisfiable 0.23s 0.53s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   9 unt;   0 nHn;  18 RR)
%            Number of literals    :   32 (   0 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(compatibility_of_order_relation_and_addition,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X4)
    | ~ sum(X3,X5,X1)
    | ~ sum(X4,X5,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.HzC4PWBkgm/E---3.1_29630.p',compatibility_of_order_relation_and_addition) ).

cnf(sum_5,negated_conjecture,
    sum(b,additive_inverse(a),u),
    file('/export/starexec/sandbox/tmp/tmp.HzC4PWBkgm/E---3.1_29630.p',sum_5) ).

cnf(less_or_equal_4,negated_conjecture,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/tmp/tmp.HzC4PWBkgm/E---3.1_29630.p',less_or_equal_4) ).

cnf(commutativity_addition,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.HzC4PWBkgm/E---3.1_29630.p',commutativity_addition) ).

cnf(existence_of_inverse_addition,axiom,
    ( sum(additive_inverse(X1),X1,additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.HzC4PWBkgm/E---3.1_29630.p',existence_of_inverse_addition) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox/tmp/tmp.HzC4PWBkgm/E---3.1_29630.p',a_is_defined) ).

cnf(not_less_or_equal_6,negated_conjecture,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox/tmp/tmp.HzC4PWBkgm/E---3.1_29630.p',not_less_or_equal_6) ).

cnf(c_0_7,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X4)
    | ~ sum(X3,X5,X1)
    | ~ sum(X4,X5,X2) ),
    compatibility_of_order_relation_and_addition ).

cnf(c_0_8,negated_conjecture,
    sum(b,additive_inverse(a),u),
    sum_5 ).

cnf(c_0_9,negated_conjecture,
    ( less_or_equal(X1,u)
    | ~ less_or_equal(X2,b)
    | ~ sum(X2,additive_inverse(a),X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,negated_conjecture,
    less_or_equal(a,b),
    less_or_equal_4 ).

cnf(c_0_11,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    commutativity_addition ).

cnf(c_0_12,axiom,
    ( sum(additive_inverse(X1),X1,additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_addition ).

cnf(c_0_13,negated_conjecture,
    ( less_or_equal(X1,u)
    | ~ sum(a,additive_inverse(a),X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( sum(X1,additive_inverse(X1),additive_identity)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

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

cnf(c_0_16,negated_conjecture,
    ~ less_or_equal(additive_identity,u),
    not_less_or_equal_6 ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : FLD067-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.15  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n002.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 23:37:14 EDT 2023
% 0.23/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  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.HzC4PWBkgm/E---3.1_29630.p
% 0.23/0.53  # Version: 3.1pre001
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # sh5l with pid 29713 completed with status 0
% 0.23/0.53  # Result found by sh5l
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.53  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.23/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.23/0.53  # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 29716 completed with status 0
% 0.23/0.53  # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.53  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.23/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.23/0.53  # Preprocessing time       : 0.001 s
% 0.23/0.53  
% 0.23/0.53  # Proof found!
% 0.23/0.53  # SZS status Unsatisfiable
% 0.23/0.53  # SZS output start CNFRefutation
% See solution above
% 0.23/0.53  # Parsed axioms                        : 32
% 0.23/0.53  # Removed by relevancy pruning/SinE    : 2
% 0.23/0.53  # Initial clauses                      : 30
% 0.23/0.53  # Removed in clause preprocessing      : 0
% 0.23/0.53  # Initial clauses in saturation        : 30
% 0.23/0.53  # Processed clauses                    : 42
% 0.23/0.53  # ...of these trivial                  : 0
% 0.23/0.53  # ...subsumed                          : 4
% 0.23/0.53  # ...remaining for further processing  : 38
% 0.23/0.53  # Other redundant clauses eliminated   : 0
% 0.23/0.53  # Clauses deleted for lack of memory   : 0
% 0.23/0.53  # Backward-subsumed                    : 0
% 0.23/0.53  # Backward-rewritten                   : 0
% 0.23/0.53  # Generated clauses                    : 65
% 0.23/0.53  # ...of the previous two non-redundant : 57
% 0.23/0.53  # ...aggressively subsumed             : 0
% 0.23/0.53  # Contextual simplify-reflections      : 0
% 0.23/0.53  # Paramodulations                      : 63
% 0.23/0.53  # Factorizations                       : 2
% 0.23/0.53  # NegExts                              : 0
% 0.23/0.53  # Equation resolutions                 : 0
% 0.23/0.53  # Total rewrite steps                  : 18
% 0.23/0.53  # Propositional unsat checks           : 0
% 0.23/0.53  #    Propositional check models        : 0
% 0.23/0.53  #    Propositional check unsatisfiable : 0
% 0.23/0.53  #    Propositional clauses             : 0
% 0.23/0.53  #    Propositional clauses after purity: 0
% 0.23/0.53  #    Propositional unsat core size     : 0
% 0.23/0.53  #    Propositional preprocessing time  : 0.000
% 0.23/0.53  #    Propositional encoding time       : 0.000
% 0.23/0.53  #    Propositional solver time         : 0.000
% 0.23/0.53  #    Success case prop preproc time    : 0.000
% 0.23/0.53  #    Success case prop encoding time   : 0.000
% 0.23/0.53  #    Success case prop solver time     : 0.000
% 0.23/0.53  # Current number of processed clauses  : 38
% 0.23/0.53  #    Positive orientable unit clauses  : 8
% 0.23/0.53  #    Positive unorientable unit clauses: 0
% 0.23/0.53  #    Negative unit clauses             : 2
% 0.23/0.53  #    Non-unit-clauses                  : 28
% 0.23/0.53  # Current number of unprocessed clauses: 45
% 0.23/0.53  # ...number of literals in the above   : 183
% 0.23/0.53  # Current number of archived formulas  : 0
% 0.23/0.53  # Current number of archived clauses   : 0
% 0.23/0.53  # Clause-clause subsumption calls (NU) : 72
% 0.23/0.53  # Rec. Clause-clause subsumption calls : 68
% 0.23/0.53  # Non-unit clause-clause subsumptions  : 4
% 0.23/0.53  # Unit Clause-clause subsumption calls : 0
% 0.23/0.53  # Rewrite failures with RHS unbound    : 0
% 0.23/0.53  # BW rewrite match attempts            : 0
% 0.23/0.53  # BW rewrite match successes           : 0
% 0.23/0.53  # Condensation attempts                : 0
% 0.23/0.53  # Condensation successes               : 0
% 0.23/0.53  # Termbank termtop insertions          : 1430
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.004 s
% 0.23/0.53  # System time              : 0.002 s
% 0.23/0.53  # Total time               : 0.005 s
% 0.23/0.53  # Maximum resident set size: 1600 pages
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.005 s
% 0.23/0.53  # System time              : 0.004 s
% 0.23/0.53  # Total time               : 0.009 s
% 0.23/0.53  # Maximum resident set size: 1700 pages
% 0.23/0.53  % E---3.1 exiting
% 0.23/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------