TSTP Solution File: GEO020-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO020-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 17:31:08 EDT 2023

% Result   : Unsatisfiable 0.16s 0.42s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   16 (  11 unt;   0 nHn;  13 RR)
%            Number of literals    :   23 (   0 equ;   9 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   :   28 (   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.xWLyN9V5xm/E---3.1_27312.p',transitivity_for_equidistance) ).

cnf(u_to_v_equals_w_to_x,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/tmp/tmp.xWLyN9V5xm/E---3.1_27312.p',u_to_v_equals_w_to_x) ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X1,X2,X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.xWLyN9V5xm/E---3.1_27312.p',reflexivity_for_equidistance) ).

cnf(prove_symmetry,negated_conjecture,
    ~ equidistant(x,w,u,v),
    file('/export/starexec/sandbox/tmp/tmp.xWLyN9V5xm/E---3.1_27312.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,hypothesis,
    equidistant(u,v,w,x),
    u_to_v_equals_w_to_x ).

cnf(c_0_6,axiom,
    equidistant(X1,X2,X2,X1),
    reflexivity_for_equidistance ).

cnf(c_0_7,hypothesis,
    ( equidistant(X1,X2,w,x)
    | ~ equidistant(u,v,X1,X2) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_4,c_0_6]) ).

cnf(c_0_9,hypothesis,
    equidistant(v,u,w,x),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_10,plain,
    equidistant(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_8,c_0_6]) ).

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

cnf(c_0_12,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_4,c_0_10]) ).

cnf(c_0_13,hypothesis,
    equidistant(u,v,x,w),
    inference(spm,[status(thm)],[c_0_8,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ~ equidistant(x,w,u,v),
    prove_symmetry ).

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
% 0.05/0.10  % Problem    : GEO020-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n008.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 06:12:58 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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.xWLyN9V5xm/E---3.1_27312.p
% 0.16/0.42  # Version: 3.1pre001
% 0.16/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.42  # Starting sh5l with 300s (1) cores
% 0.16/0.42  # new_bool_3 with pid 27391 completed with status 0
% 0.16/0.42  # Result found by new_bool_3
% 0.16/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.42  # Search class: FGUSF-FFSF00-SFFFFFNN
% 0.16/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.42  # SAT001_MinMin_p005000_rr_RG with pid 27394 completed with status 0
% 0.16/0.42  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.42  # Search class: FGUSF-FFSF00-SFFFFFNN
% 0.16/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.42  # Preprocessing time       : 0.001 s
% 0.16/0.42  # Presaturation interreduction done
% 0.16/0.42  
% 0.16/0.42  # Proof found!
% 0.16/0.42  # SZS status Unsatisfiable
% 0.16/0.42  # SZS output start CNFRefutation
% See solution above
% 0.16/0.42  # Parsed axioms                        : 20
% 0.16/0.42  # Removed by relevancy pruning/SinE    : 12
% 0.16/0.42  # Initial clauses                      : 8
% 0.16/0.42  # Removed in clause preprocessing      : 0
% 0.16/0.42  # Initial clauses in saturation        : 8
% 0.16/0.42  # Processed clauses                    : 27
% 0.16/0.42  # ...of these trivial                  : 2
% 0.16/0.42  # ...subsumed                          : 0
% 0.16/0.42  # ...remaining for further processing  : 25
% 0.16/0.42  # Other redundant clauses eliminated   : 0
% 0.16/0.42  # Clauses deleted for lack of memory   : 0
% 0.16/0.42  # Backward-subsumed                    : 0
% 0.16/0.42  # Backward-rewritten                   : 1
% 0.16/0.42  # Generated clauses                    : 35
% 0.16/0.42  # ...of the previous two non-redundant : 26
% 0.16/0.42  # ...aggressively subsumed             : 0
% 0.16/0.42  # Contextual simplify-reflections      : 0
% 0.16/0.42  # Paramodulations                      : 35
% 0.16/0.42  # Factorizations                       : 0
% 0.16/0.42  # NegExts                              : 0
% 0.16/0.42  # Equation resolutions                 : 0
% 0.16/0.42  # Total rewrite steps                  : 10
% 0.16/0.42  # Propositional unsat checks           : 0
% 0.16/0.42  #    Propositional check models        : 0
% 0.16/0.42  #    Propositional check unsatisfiable : 0
% 0.16/0.42  #    Propositional clauses             : 0
% 0.16/0.42  #    Propositional clauses after purity: 0
% 0.16/0.42  #    Propositional unsat core size     : 0
% 0.16/0.42  #    Propositional preprocessing time  : 0.000
% 0.16/0.42  #    Propositional encoding time       : 0.000
% 0.16/0.42  #    Propositional solver time         : 0.000
% 0.16/0.42  #    Success case prop preproc time    : 0.000
% 0.16/0.42  #    Success case prop encoding time   : 0.000
% 0.16/0.42  #    Success case prop solver time     : 0.000
% 0.16/0.42  # Current number of processed clauses  : 16
% 0.16/0.42  #    Positive orientable unit clauses  : 7
% 0.16/0.42  #    Positive unorientable unit clauses: 0
% 0.16/0.42  #    Negative unit clauses             : 1
% 0.16/0.42  #    Non-unit-clauses                  : 8
% 0.16/0.42  # Current number of unprocessed clauses: 12
% 0.16/0.42  # ...number of literals in the above   : 58
% 0.16/0.42  # Current number of archived formulas  : 0
% 0.16/0.42  # Current number of archived clauses   : 9
% 0.16/0.42  # Clause-clause subsumption calls (NU) : 97
% 0.16/0.42  # Rec. Clause-clause subsumption calls : 39
% 0.16/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.42  # Unit Clause-clause subsumption calls : 4
% 0.16/0.42  # Rewrite failures with RHS unbound    : 0
% 0.16/0.42  # BW rewrite match attempts            : 29
% 0.16/0.42  # BW rewrite match successes           : 1
% 0.16/0.42  # Condensation attempts                : 0
% 0.16/0.42  # Condensation successes               : 0
% 0.16/0.42  # Termbank termtop insertions          : 817
% 0.16/0.42  
% 0.16/0.42  # -------------------------------------------------
% 0.16/0.42  # User time                : 0.002 s
% 0.16/0.42  # System time              : 0.003 s
% 0.16/0.42  # Total time               : 0.004 s
% 0.16/0.42  # Maximum resident set size: 1636 pages
% 0.16/0.42  
% 0.16/0.42  # -------------------------------------------------
% 0.16/0.42  # User time                : 0.002 s
% 0.16/0.42  # System time              : 0.005 s
% 0.16/0.42  # Total time               : 0.007 s
% 0.16/0.42  # Maximum resident set size: 1692 pages
% 0.16/0.42  % E---3.1 exiting
% 0.16/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------