TSTP Solution File: GEO087-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO087-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 17:33:43 EDT 2023

% Result   : Unsatisfiable 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  17 RR)
%            Number of literals    :   37 (   0 equ;  21 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   29 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(inner_point_defn_22,axiom,
    ( ~ inner_point(X1,X2)
    | ~ end_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.JFy9ylYvI5/E---3.1_6167.p',inner_point_defn_22) ).

cnf(c3_37,axiom,
    inner_point(ax0_sk8(X1),X1),
    file('/export/starexec/sandbox/tmp/tmp.JFy9ylYvI5/E---3.1_6167.p',c3_37) ).

cnf(meet_defn_26,axiom,
    ( end_point(X4,X2)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X2)
    | ~ incident_c(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.JFy9ylYvI5/E---3.1_6167.p',meet_defn_26) ).

cnf(corollary_2_9_68,negated_conjecture,
    meet(sk16,sk14,sk15),
    file('/export/starexec/sandbox/tmp/tmp.JFy9ylYvI5/E---3.1_6167.p',corollary_2_9_68) ).

cnf(inner_point_defn_21,axiom,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.JFy9ylYvI5/E---3.1_6167.p',inner_point_defn_21) ).

cnf(part_of_defn_1,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.JFy9ylYvI5/E---3.1_6167.p',part_of_defn_1) ).

cnf(corollary_2_9_67,negated_conjecture,
    part_of(sk14,sk15),
    file('/export/starexec/sandbox/tmp/tmp.JFy9ylYvI5/E---3.1_6167.p',corollary_2_9_67) ).

cnf(c_0_7,axiom,
    ( ~ inner_point(X1,X2)
    | ~ end_point(X1,X2) ),
    inner_point_defn_22 ).

cnf(c_0_8,axiom,
    inner_point(ax0_sk8(X1),X1),
    c3_37 ).

cnf(c_0_9,axiom,
    ( end_point(X4,X2)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X2)
    | ~ incident_c(X4,X3) ),
    meet_defn_26 ).

cnf(c_0_10,negated_conjecture,
    meet(sk16,sk14,sk15),
    corollary_2_9_68 ).

cnf(c_0_11,axiom,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    inner_point_defn_21 ).

cnf(c_0_12,plain,
    ~ end_point(ax0_sk8(X1),X1),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( end_point(X1,sk14)
    | ~ incident_c(X1,sk15)
    | ~ incident_c(X1,sk14) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    incident_c(ax0_sk8(X1),X1),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_15,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    part_of_defn_1 ).

cnf(c_0_16,negated_conjecture,
    ~ incident_c(ax0_sk8(sk14),sk15),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_17,plain,
    ( incident_c(ax0_sk8(X1),X2)
    | ~ part_of(X1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    part_of(sk14,sk15),
    corollary_2_9_67 ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : GEO087-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n011.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Oct  3 06:43:53 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  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.JFy9ylYvI5/E---3.1_6167.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 6244 completed with status 0
% 0.16/0.45  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.16/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.45  # No SInE strategy applied
% 0.16/0.45  # Search class: FGHSF-FFMF31-SFFFFFNN
% 0.16/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 756s (1) cores
% 0.16/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.45  # Starting new_bool_3 with 162s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 158s (1) cores
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.45  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 6255 completed with status 0
% 0.16/0.45  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.45  # No SInE strategy applied
% 0.16/0.45  # Search class: FGHSF-FFMF31-SFFFFFNN
% 0.16/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 756s (1) cores
% 0.16/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.45  # Starting new_bool_3 with 162s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 158s (1) cores
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.001 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Unsatisfiable
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 50
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.45  # Initial clauses                      : 50
% 0.16/0.45  # Removed in clause preprocessing      : 5
% 0.16/0.45  # Initial clauses in saturation        : 45
% 0.16/0.45  # Processed clauses                    : 159
% 0.16/0.45  # ...of these trivial                  : 0
% 0.16/0.45  # ...subsumed                          : 6
% 0.16/0.45  # ...remaining for further processing  : 153
% 0.16/0.45  # Other redundant clauses eliminated   : 4
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 1
% 0.16/0.45  # Backward-rewritten                   : 1
% 0.16/0.45  # Generated clauses                    : 278
% 0.16/0.45  # ...of the previous two non-redundant : 246
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 0
% 0.16/0.45  # Paramodulations                      : 272
% 0.16/0.45  # Factorizations                       : 2
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 4
% 0.16/0.45  # Total rewrite steps                  : 21
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 102
% 0.16/0.45  #    Positive orientable unit clauses  : 13
% 0.16/0.45  #    Positive unorientable unit clauses: 0
% 0.16/0.45  #    Negative unit clauses             : 5
% 0.16/0.45  #    Non-unit-clauses                  : 84
% 0.16/0.45  # Current number of unprocessed clauses: 173
% 0.16/0.45  # ...number of literals in the above   : 604
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 47
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 1710
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 964
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 6
% 0.16/0.45  # Unit Clause-clause subsumption calls : 104
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 4
% 0.16/0.45  # BW rewrite match successes           : 1
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 5386
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.011 s
% 0.16/0.45  # System time              : 0.001 s
% 0.16/0.45  # Total time               : 0.013 s
% 0.16/0.45  # Maximum resident set size: 1700 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.051 s
% 0.16/0.45  # System time              : 0.011 s
% 0.16/0.45  # Total time               : 0.062 s
% 0.16/0.45  # Maximum resident set size: 1732 pages
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------