TSTP Solution File: GEO053-3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO053-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 17:31:17 EDT 2023

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   26 (  14 unt;   0 nHn;  24 RR)
%            Number of literals    :   49 (   4 equ;  26 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   47 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(d4_4,axiom,
    ( equidistant(X4,X3,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',d4_4) ).

cnf(u_to_v_equals_u_to_w,hypothesis,
    equidistant(u,v,u,w),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',u_to_v_equals_u_to_w) ).

cnf(b11,axiom,
    ( between(X3,X4,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X5,X4,X6)
    | ~ equidistant(X1,X5,X3,X6)
    | ~ between(X1,X2,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',b11) ).

cnf(t1,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',t1) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',v_between_u_and_w) ).

cnf(d4_5,axiom,
    ( equidistant(X4,X3,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',d4_5) ).

cnf(b2,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X3)
    | ~ between(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',b2) ).

cnf(prove_v_equals_w,negated_conjecture,
    v != w,
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',prove_v_equals_w) ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X1,X2,X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.XllhZSDdFU/E---3.1_15643.p',reflexivity_for_equidistance) ).

cnf(c_0_9,axiom,
    ( equidistant(X4,X3,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_4 ).

cnf(c_0_10,hypothesis,
    equidistant(u,v,u,w),
    u_to_v_equals_u_to_w ).

cnf(c_0_11,hypothesis,
    equidistant(w,u,u,v),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,axiom,
    ( between(X3,X4,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X5,X4,X6)
    | ~ equidistant(X1,X5,X3,X6)
    | ~ between(X1,X2,X5) ),
    b11 ).

cnf(c_0_13,hypothesis,
    equidistant(v,u,w,u),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

cnf(c_0_14,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_15,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_16,hypothesis,
    ( between(X1,w,u)
    | ~ between(X2,v,u)
    | ~ equidistant(X2,u,X1,u)
    | ~ equidistant(X2,v,X1,w) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,hypothesis,
    between(w,v,u),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    ( equidistant(X4,X3,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_5 ).

cnf(c_0_19,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X3)
    | ~ between(X2,X1,X3) ),
    b2 ).

cnf(c_0_20,negated_conjecture,
    v != w,
    prove_v_equals_w ).

cnf(c_0_21,hypothesis,
    ( between(X1,w,u)
    | ~ equidistant(w,u,X1,u)
    | ~ equidistant(w,v,X1,w) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,hypothesis,
    equidistant(w,u,v,u),
    inference(spm,[status(thm)],[c_0_18,c_0_10]) ).

cnf(c_0_23,axiom,
    equidistant(X1,X2,X2,X1),
    reflexivity_for_equidistance ).

cnf(c_0_24,hypothesis,
    ~ between(v,w,u),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_20]) ).

cnf(c_0_25,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO053-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n003.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 06:14:33 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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.XllhZSDdFU/E---3.1_15643.p
% 0.22/0.51  # Version: 3.1pre001
% 0.22/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # Starting sh5l with 300s (1) cores
% 0.22/0.51  # new_bool_3 with pid 15722 completed with status 0
% 0.22/0.51  # Result found by new_bool_3
% 0.22/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUSM-FFMF00-SFFFFFNN
% 0.22/0.51  # partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.22/0.51  # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 15725 completed with status 0
% 0.22/0.51  # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.22/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUSM-FFMF00-SFFFFFNN
% 0.22/0.51  # partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.22/0.51  # Preprocessing time       : 0.002 s
% 0.22/0.51  # Presaturation interreduction done
% 0.22/0.51  
% 0.22/0.51  # Proof found!
% 0.22/0.51  # SZS status Unsatisfiable
% 0.22/0.51  # SZS output start CNFRefutation
% See solution above
% 0.22/0.51  # Parsed axioms                        : 85
% 0.22/0.51  # Removed by relevancy pruning/SinE    : 38
% 0.22/0.51  # Initial clauses                      : 47
% 0.22/0.51  # Removed in clause preprocessing      : 1
% 0.22/0.51  # Initial clauses in saturation        : 46
% 0.22/0.51  # Processed clauses                    : 164
% 0.22/0.51  # ...of these trivial                  : 3
% 0.22/0.51  # ...subsumed                          : 10
% 0.22/0.51  # ...remaining for further processing  : 151
% 0.22/0.51  # Other redundant clauses eliminated   : 0
% 0.22/0.51  # Clauses deleted for lack of memory   : 0
% 0.22/0.51  # Backward-subsumed                    : 0
% 0.22/0.51  # Backward-rewritten                   : 0
% 0.22/0.51  # Generated clauses                    : 295
% 0.22/0.51  # ...of the previous two non-redundant : 88
% 0.22/0.51  # ...aggressively subsumed             : 0
% 0.22/0.51  # Contextual simplify-reflections      : 0
% 0.22/0.51  # Paramodulations                      : 294
% 0.22/0.51  # Factorizations                       : 0
% 0.22/0.51  # NegExts                              : 0
% 0.22/0.51  # Equation resolutions                 : 1
% 0.22/0.51  # Total rewrite steps                  : 204
% 0.22/0.51  # Propositional unsat checks           : 0
% 0.22/0.51  #    Propositional check models        : 0
% 0.22/0.51  #    Propositional check unsatisfiable : 0
% 0.22/0.51  #    Propositional clauses             : 0
% 0.22/0.51  #    Propositional clauses after purity: 0
% 0.22/0.51  #    Propositional unsat core size     : 0
% 0.22/0.51  #    Propositional preprocessing time  : 0.000
% 0.22/0.51  #    Propositional encoding time       : 0.000
% 0.22/0.51  #    Propositional solver time         : 0.000
% 0.22/0.51  #    Success case prop preproc time    : 0.000
% 0.22/0.51  #    Success case prop encoding time   : 0.000
% 0.22/0.51  #    Success case prop solver time     : 0.000
% 0.22/0.51  # Current number of processed clauses  : 107
% 0.22/0.51  #    Positive orientable unit clauses  : 15
% 0.22/0.51  #    Positive unorientable unit clauses: 0
% 0.22/0.51  #    Negative unit clauses             : 6
% 0.22/0.51  #    Non-unit-clauses                  : 86
% 0.22/0.51  # Current number of unprocessed clauses: 14
% 0.22/0.51  # ...number of literals in the above   : 70
% 0.22/0.51  # Current number of archived formulas  : 0
% 0.22/0.51  # Current number of archived clauses   : 44
% 0.22/0.51  # Clause-clause subsumption calls (NU) : 3372
% 0.22/0.51  # Rec. Clause-clause subsumption calls : 2725
% 0.22/0.51  # Non-unit clause-clause subsumptions  : 10
% 0.22/0.51  # Unit Clause-clause subsumption calls : 4
% 0.22/0.51  # Rewrite failures with RHS unbound    : 0
% 0.22/0.51  # BW rewrite match attempts            : 32
% 0.22/0.51  # BW rewrite match successes           : 0
% 0.22/0.51  # Condensation attempts                : 0
% 0.22/0.51  # Condensation successes               : 0
% 0.22/0.51  # Termbank termtop insertions          : 5030
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.014 s
% 0.22/0.51  # System time              : 0.000 s
% 0.22/0.51  # Total time               : 0.014 s
% 0.22/0.51  # Maximum resident set size: 1820 pages
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.017 s
% 0.22/0.51  # System time              : 0.001 s
% 0.22/0.51  # Total time               : 0.018 s
% 0.22/0.51  # Maximum resident set size: 1744 pages
% 0.22/0.51  % E---3.1 exiting
% 0.22/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------