TSTP Solution File: FLD071-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 17:30:17 EDT 2023

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  14 unt;   2 nHn;  28 RR)
%            Number of literals    :   52 (   0 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(symmetry_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',symmetry_of_equality) ).

cnf(multiply_equals_u_6,negated_conjecture,
    equalish(multiply(a,b),u),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',multiply_equals_u_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/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',compatibility_of_equality_and_order_relation) ).

cnf(totality_of_order_relation,axiom,
    ( less_or_equal(X1,X2)
    | less_or_equal(X2,X1)
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',totality_of_order_relation) ).

cnf(u_is_defined,hypothesis,
    defined(u),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',u_is_defined) ).

cnf(compatibility_of_order_relation_and_multiplication,axiom,
    ( less_or_equal(additive_identity,multiply(X1,X2))
    | ~ less_or_equal(additive_identity,X1)
    | ~ less_or_equal(additive_identity,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',compatibility_of_order_relation_and_multiplication) ).

cnf(less_or_equal_5,negated_conjecture,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',less_or_equal_5) ).

cnf(transitivity_of_order_relation,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X1,X3)
    | ~ less_or_equal(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',transitivity_of_order_relation) ).

cnf(less_or_equal_4,negated_conjecture,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',less_or_equal_4) ).

cnf(not_less_or_equal_7,negated_conjecture,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p',not_less_or_equal_7) ).

cnf(c_0_10,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    symmetry_of_equality ).

cnf(c_0_11,negated_conjecture,
    equalish(multiply(a,b),u),
    multiply_equals_u_6 ).

cnf(c_0_12,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X2)
    | ~ equalish(X3,X1) ),
    compatibility_of_equality_and_order_relation ).

cnf(c_0_13,negated_conjecture,
    equalish(u,multiply(a,b)),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,axiom,
    ( less_or_equal(X1,X2)
    | less_or_equal(X2,X1)
    | ~ defined(X1)
    | ~ defined(X2) ),
    totality_of_order_relation ).

cnf(c_0_15,negated_conjecture,
    ( less_or_equal(multiply(a,b),X1)
    | ~ less_or_equal(u,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( less_or_equal(X1,X1)
    | ~ defined(X1) ),
    inference(ef,[status(thm)],[c_0_14]) ).

cnf(c_0_17,hypothesis,
    defined(u),
    u_is_defined ).

cnf(c_0_18,axiom,
    ( less_or_equal(additive_identity,multiply(X1,X2))
    | ~ less_or_equal(additive_identity,X1)
    | ~ less_or_equal(additive_identity,X2) ),
    compatibility_of_order_relation_and_multiplication ).

cnf(c_0_19,negated_conjecture,
    less_or_equal(additive_identity,b),
    less_or_equal_5 ).

cnf(c_0_20,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X1,X3)
    | ~ less_or_equal(X3,X2) ),
    transitivity_of_order_relation ).

cnf(c_0_21,negated_conjecture,
    less_or_equal(multiply(a,b),u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_22,negated_conjecture,
    ( less_or_equal(additive_identity,multiply(X1,b))
    | ~ less_or_equal(additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    less_or_equal(additive_identity,a),
    less_or_equal_4 ).

cnf(c_0_24,negated_conjecture,
    ( less_or_equal(X1,u)
    | ~ less_or_equal(X1,multiply(a,b)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    less_or_equal(additive_identity,multiply(a,b)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ~ less_or_equal(additive_identity,u),
    not_less_or_equal_7 ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.13/0.36  % Computer : n017.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 2400
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Mon Oct  2 22:49:56 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.cEmS3X1I9y/E---3.1_21277.p
% 0.21/0.51  # Version: 3.1pre001
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # sh5l with pid 21358 completed with status 0
% 0.21/0.51  # Result found by sh5l
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.21/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.21/0.51  # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 21361 completed with status 0
% 0.21/0.51  # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.21/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.001 s
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Unsatisfiable
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 34
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 34
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 34
% 0.21/0.51  # Processed clauses                    : 85
% 0.21/0.51  # ...of these trivial                  : 1
% 0.21/0.51  # ...subsumed                          : 4
% 0.21/0.51  # ...remaining for further processing  : 80
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 0
% 0.21/0.51  # Backward-rewritten                   : 0
% 0.21/0.51  # Generated clauses                    : 283
% 0.21/0.51  # ...of the previous two non-redundant : 240
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 0
% 0.21/0.51  # Paramodulations                      : 281
% 0.21/0.51  # Factorizations                       : 2
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Total rewrite steps                  : 104
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 80
% 0.21/0.51  #    Positive orientable unit clauses  : 24
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 2
% 0.21/0.51  #    Non-unit-clauses                  : 54
% 0.21/0.51  # Current number of unprocessed clauses: 189
% 0.21/0.51  # ...number of literals in the above   : 496
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 0
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 253
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 234
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 4
% 0.21/0.51  # Unit Clause-clause subsumption calls : 36
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 0
% 0.21/0.51  # BW rewrite match successes           : 0
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 3955
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.008 s
% 0.21/0.51  # System time              : 0.000 s
% 0.21/0.51  # Total time               : 0.008 s
% 0.21/0.51  # Maximum resident set size: 1764 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.009 s
% 0.21/0.51  # System time              : 0.003 s
% 0.21/0.51  # Total time               : 0.012 s
% 0.21/0.51  # Maximum resident set size: 1700 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------