TSTP Solution File: GEO018-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO018-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 17:33:25 EDT 2023

% Result   : Unsatisfiable 0.22s 0.49s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   0 equ;   7 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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   20 (   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.B19Tw0EG0t/E---3.1_9831.p',transitivity_for_equidistance) ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X1,X2,X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.B19Tw0EG0t/E---3.1_9831.p',reflexivity_for_equidistance) ).

cnf(u_to_v_equals_w_to_x,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/tmp/tmp.B19Tw0EG0t/E---3.1_9831.p',u_to_v_equals_w_to_x) ).

cnf(prove_symmetry,negated_conjecture,
    ~ equidistant(v,u,x,w),
    file('/export/starexec/sandbox/tmp/tmp.B19Tw0EG0t/E---3.1_9831.p',prove_symmetry) ).

cnf(c_0_4,axiom,
    ( equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    transitivity_for_equidistance ).

cnf(c_0_5,axiom,
    equidistant(X1,X2,X2,X1),
    reflexivity_for_equidistance ).

cnf(c_0_6,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,hypothesis,
    equidistant(u,v,w,x),
    u_to_v_equals_w_to_x ).

cnf(c_0_8,hypothesis,
    equidistant(w,x,v,u),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ~ equidistant(v,u,x,w),
    prove_symmetry ).

cnf(c_0_10,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_8]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO018-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Oct  3 06:54:31 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.48  Running first-order model finding
% 0.22/0.48  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.B19Tw0EG0t/E---3.1_9831.p
% 0.22/0.49  # Version: 3.1pre001
% 0.22/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.49  # Starting sh5l with 300s (1) cores
% 0.22/0.49  # new_bool_3 with pid 9927 completed with status 0
% 0.22/0.49  # Result found by new_bool_3
% 0.22/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.49  # Search class: FGUSF-FFSF00-SFFFFFNN
% 0.22/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.49  # SAT001_MinMin_p005000_rr_RG with pid 9931 completed with status 0
% 0.22/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.49  # Search class: FGUSF-FFSF00-SFFFFFNN
% 0.22/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.49  # Preprocessing time       : 0.001 s
% 0.22/0.49  # Presaturation interreduction done
% 0.22/0.49  
% 0.22/0.49  # Proof found!
% 0.22/0.49  # SZS status Unsatisfiable
% 0.22/0.49  # SZS output start CNFRefutation
% See solution above
% 0.22/0.49  # Parsed axioms                        : 20
% 0.22/0.49  # Removed by relevancy pruning/SinE    : 12
% 0.22/0.49  # Initial clauses                      : 8
% 0.22/0.49  # Removed in clause preprocessing      : 0
% 0.22/0.49  # Initial clauses in saturation        : 8
% 0.22/0.49  # Processed clauses                    : 24
% 0.22/0.49  # ...of these trivial                  : 0
% 0.22/0.49  # ...subsumed                          : 0
% 0.22/0.49  # ...remaining for further processing  : 24
% 0.22/0.49  # Other redundant clauses eliminated   : 0
% 0.22/0.49  # Clauses deleted for lack of memory   : 0
% 0.22/0.49  # Backward-subsumed                    : 0
% 0.22/0.49  # Backward-rewritten                   : 1
% 0.22/0.49  # Generated clauses                    : 30
% 0.22/0.49  # ...of the previous two non-redundant : 22
% 0.22/0.49  # ...aggressively subsumed             : 0
% 0.22/0.49  # Contextual simplify-reflections      : 0
% 0.22/0.49  # Paramodulations                      : 30
% 0.22/0.49  # Factorizations                       : 0
% 0.22/0.49  # NegExts                              : 0
% 0.22/0.49  # Equation resolutions                 : 0
% 0.22/0.49  # Total rewrite steps                  : 7
% 0.22/0.49  # Propositional unsat checks           : 0
% 0.22/0.49  #    Propositional check models        : 0
% 0.22/0.49  #    Propositional check unsatisfiable : 0
% 0.22/0.49  #    Propositional clauses             : 0
% 0.22/0.49  #    Propositional clauses after purity: 0
% 0.22/0.49  #    Propositional unsat core size     : 0
% 0.22/0.49  #    Propositional preprocessing time  : 0.000
% 0.22/0.49  #    Propositional encoding time       : 0.000
% 0.22/0.49  #    Propositional solver time         : 0.000
% 0.22/0.49  #    Success case prop preproc time    : 0.000
% 0.22/0.49  #    Success case prop encoding time   : 0.000
% 0.22/0.49  #    Success case prop solver time     : 0.000
% 0.22/0.49  # Current number of processed clauses  : 15
% 0.22/0.49  #    Positive orientable unit clauses  : 6
% 0.22/0.49  #    Positive unorientable unit clauses: 0
% 0.22/0.49  #    Negative unit clauses             : 1
% 0.22/0.49  #    Non-unit-clauses                  : 8
% 0.22/0.49  # Current number of unprocessed clauses: 12
% 0.22/0.49  # ...number of literals in the above   : 51
% 0.22/0.49  # Current number of archived formulas  : 0
% 0.22/0.49  # Current number of archived clauses   : 9
% 0.22/0.49  # Clause-clause subsumption calls (NU) : 97
% 0.22/0.49  # Rec. Clause-clause subsumption calls : 39
% 0.22/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.49  # Unit Clause-clause subsumption calls : 4
% 0.22/0.49  # Rewrite failures with RHS unbound    : 0
% 0.22/0.49  # BW rewrite match attempts            : 28
% 0.22/0.49  # BW rewrite match successes           : 1
% 0.22/0.49  # Condensation attempts                : 0
% 0.22/0.49  # Condensation successes               : 0
% 0.22/0.49  # Termbank termtop insertions          : 758
% 0.22/0.49  
% 0.22/0.49  # -------------------------------------------------
% 0.22/0.49  # User time                : 0.003 s
% 0.22/0.49  # System time              : 0.002 s
% 0.22/0.49  # Total time               : 0.005 s
% 0.22/0.49  # Maximum resident set size: 1640 pages
% 0.22/0.49  
% 0.22/0.49  # -------------------------------------------------
% 0.22/0.49  # User time                : 0.003 s
% 0.22/0.49  # System time              : 0.005 s
% 0.22/0.49  # Total time               : 0.008 s
% 0.22/0.49  # Maximum resident set size: 1692 pages
% 0.22/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------