TSTP Solution File: GEO022-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 17:33:26 EDT 2023

% Result   : Timeout 136.22s 300.14s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  16 RR)
%            Number of literals    :   25 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(transitivity_for_equidistance,axiom,
    ( equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.UMMcN4GFlL/E---3.1_9149.p',transitivity_for_equidistance) ).

cnf(w_to_x_equals_y_to_z,hypothesis,
    equidistant(w,x,y,z),
    file('/export/starexec/sandbox/tmp/tmp.UMMcN4GFlL/E---3.1_9149.p',w_to_x_equals_y_to_z) ).

cnf(d4_3,axiom,
    ( equidistant(X3,X4,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.UMMcN4GFlL/E---3.1_9149.p',d4_3) ).

cnf(u_to_v_equals_w_to_x,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/tmp/tmp.UMMcN4GFlL/E---3.1_9149.p',u_to_v_equals_w_to_x) ).

cnf(d3,axiom,
    ( equidistant(X2,X1,X3,X4)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.UMMcN4GFlL/E---3.1_9149.p',d3) ).

cnf(prove_transitivity,negated_conjecture,
    ~ equidistant(u,v,y,z),
    file('/export/starexec/sandbox/tmp/tmp.UMMcN4GFlL/E---3.1_9149.p',prove_transitivity) ).

cnf(c_0_6,axiom,
    ( equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    transitivity_for_equidistance ).

cnf(c_0_7,hypothesis,
    equidistant(w,x,y,z),
    w_to_x_equals_y_to_z ).

cnf(c_0_8,axiom,
    ( equidistant(X3,X4,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_3 ).

cnf(c_0_9,hypothesis,
    equidistant(u,v,w,x),
    u_to_v_equals_w_to_x ).

cnf(c_0_10,hypothesis,
    ( equidistant(X1,X2,y,z)
    | ~ equidistant(w,x,X1,X2) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,hypothesis,
    equidistant(w,x,v,u),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,axiom,
    ( equidistant(X2,X1,X3,X4)
    | ~ equidistant(X1,X2,X3,X4) ),
    d3 ).

cnf(c_0_13,hypothesis,
    equidistant(v,u,y,z),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ~ equidistant(u,v,y,z),
    prove_transitivity ).

cnf(c_0_15,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n004.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Oct  3 06:42:15 EDT 2023
% 0.10/0.32  % 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.UMMcN4GFlL/E---3.1_9149.p
% 136.22/300.14  # Version: 3.1pre001
% 136.22/300.14  # Preprocessing class: FSMSSMSMSSSNFFN.
% 136.22/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.22/300.14  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 136.22/300.14  # Starting new_bool_3 with 300s (1) cores
% 136.22/300.14  # Starting new_bool_1 with 300s (1) cores
% 136.22/300.14  # Starting sh5l with 300s (1) cores
% 136.22/300.14  # sh5l with pid 9232 completed with status 0
% 136.22/300.14  # Result found by sh5l
% 136.22/300.14  # Preprocessing class: FSMSSMSMSSSNFFN.
% 136.22/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.22/300.14  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 136.22/300.14  # Starting new_bool_3 with 300s (1) cores
% 136.22/300.14  # Starting new_bool_1 with 300s (1) cores
% 136.22/300.14  # Starting sh5l with 300s (1) cores
% 136.22/300.14  # SinE strategy is gf500_gu_R04_F100_L20000
% 136.22/300.14  # Search class: FGUSS-FFMF00-SFFFFFNN
% 136.22/300.14  # partial match(2): FGUSS-FFMF33-SFFFFFNN
% 136.22/300.14  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 136.22/300.14  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 178s (1) cores
% 136.22/300.14  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 9239 completed with status 0
% 136.22/300.14  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I
% 136.22/300.14  # Preprocessing class: FSMSSMSMSSSNFFN.
% 136.22/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.22/300.14  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 136.22/300.14  # Starting new_bool_3 with 300s (1) cores
% 136.22/300.14  # Starting new_bool_1 with 300s (1) cores
% 136.22/300.14  # Starting sh5l with 300s (1) cores
% 136.22/300.14  # SinE strategy is gf500_gu_R04_F100_L20000
% 136.22/300.14  # Search class: FGUSS-FFMF00-SFFFFFNN
% 136.22/300.14  # partial match(2): FGUSS-FFMF33-SFFFFFNN
% 136.22/300.14  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 136.22/300.14  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 178s (1) cores
% 136.22/300.14  # Preprocessing time       : 0.001 s
% 136.22/300.14  
% 136.22/300.14  # Proof found!
% 136.22/300.14  # SZS status Unsatisfiable
% 136.22/300.14  # SZS output start CNFRefutation
% See solution above
% 136.22/300.14  # Parsed axioms                        : 29
% 136.22/300.14  # Removed by relevancy pruning/SinE    : 9
% 136.22/300.14  # Initial clauses                      : 20
% 136.22/300.14  # Removed in clause preprocessing      : 0
% 136.22/300.14  # Initial clauses in saturation        : 20
% 136.22/300.14  # Processed clauses                    : 33
% 136.22/300.14  # ...of these trivial                  : 1
% 136.22/300.14  # ...subsumed                          : 2
% 136.22/300.14  # ...remaining for further processing  : 30
% 136.22/300.14  # Other redundant clauses eliminated   : 0
% 136.22/300.14  # Clauses deleted for lack of memory   : 0
% 136.22/300.14  # Backward-subsumed                    : 0
% 136.22/300.14  # Backward-rewritten                   : 0
% 136.22/300.14  # Generated clauses                    : 121
% 136.22/300.14  # ...of the previous two non-redundant : 77
% 136.22/300.14  # ...aggressively subsumed             : 0
% 136.22/300.14  # Contextual simplify-reflections      : 0
% 136.22/300.14  # Paramodulations                      : 121
% 136.22/300.14  # Factorizations                       : 0
% 136.22/300.14  # NegExts                              : 0
% 136.22/300.14  # Equation resolutions                 : 0
% 136.22/300.14  # Total rewrite steps                  : 37
% 136.22/300.14  # Propositional unsat checks           : 0
% 136.22/300.14  #    Propositional check models        : 0
% 136.22/300.14  #    Propositional check unsatisfiable : 0
% 136.22/300.14  #    Propositional clauses             : 0
% 136.22/300.14  #    Propositional clauses after purity: 0
% 136.22/300.14  #    Propositional unsat core size     : 0
% 136.22/300.14  #    Propositional preprocessing time  : 0.000
% 136.22/300.14  #    Propositional encoding time       : 0.000
% 136.22/300.14  #    Propositional solver time         : 0.000
% 136.22/300.14  #    Success case prop preproc time    : 0.000
% 136.22/300.14  #    Success case prop encoding time   : 0.000
% 136.22/300.14  #    Success case prop solver time     : 0.000
% 136.22/300.14  # Current number of processed clauses  : 30
% 136.22/300.14  #    Positive orientable unit clauses  : 13
% 136.22/300.14  #    Positive unorientable unit clauses: 0
% 136.22/300.14  #    Negative unit clauses             : 4
% 136.22/300.14  #    Non-unit-clauses                  : 13
% 136.22/300.14  # Current number of unprocessed clauses: 63
% 136.22/300.14  # ...number of literals in the above   : 144
% 136.22/300.14  # Current number of archived formulas  : 0
% 136.22/300.14  # Current number of archived clauses   : 0
% 136.22/300.14  # Clause-clause subsumption calls (NU) : 188
% 136.22/300.14  # Rec. Clause-clause subsumption calls : 159
% 136.22/300.14  # Non-unit clause-clause subsumptions  : 2
% 136.22/300.14  # Unit Clause-clause subsumption calls : 3
% 136.22/300.14  # Rewrite failures with RHS unbound    : 0
% 136.22/300.14  # BW rewrite match attempts            : 17
% 136.22/300.14  # BW rewrite match successes           : 0
% 136.22/300.14  # Condensation attempts                : 0
% 136.22/300.14  # Condensation successes               : 0
% 136.22/300.14  # Termbank termtop insertions          : 1613
% 136.22/300.14  
% 136.22/300.14  # -------------------------------------------------
% 136.22/300.14  # User time                : 0.004 s
% 136.22/300.14  # System time              : 0.001 s
% 136.22/300.14  # Total time               : 0.005 s
% 136.22/300.14  # Maximum resident set size: 1628 pages
% 136.22/300.14  
% 136.22/300.14  # -------------------------------------------------
% 136.22/300.14  # User time                : 0.005 s
% 136.22/300.14  # System time              : 0.002 s
% 136.22/300.14  # Total time               : 0.008 s
% 136.22/300.14  # Maximum resident set size: 1700 pages
% 136.22/300.14  % E---3.1 exiting
%------------------------------------------------------------------------------