TSTP Solution File: GEO030-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO030-3 : 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 17:33:29 EDT 2023

% Result   : Unsatisfiable 5.98s 1.36s
% Output   : CNFRefutation 5.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (  15 unt;   4 nHn;  22 RR)
%            Number of literals    :   54 (  10 equ;  30 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(d2,axiom,
    ( equidistant(X3,X4,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',d2) ).

cnf(v_to_w_equals_v_to_w1,hypothesis,
    equidistant(v,w,v,w1),
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',v_to_w_equals_v_to_w1) ).

cnf(outer_five_segment,axiom,
    ( X1 = X2
    | equidistant(X5,X7,X6,X8)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X5,X4,X6)
    | ~ equidistant(X1,X7,X3,X8)
    | ~ equidistant(X2,X7,X4,X8)
    | ~ between(X1,X2,X5)
    | ~ between(X3,X4,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',outer_five_segment) ).

cnf(d1,axiom,
    equidistant(X1,X2,X1,X2),
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',d1) ).

cnf(u_to_w_equals_u_to_w1,hypothesis,
    equidistant(u,w,u,w1),
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',u_to_w_equals_u_to_w1) ).

cnf(u_not_v,hypothesis,
    u != v,
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',u_not_v) ).

cnf(identity_for_equidistance,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',identity_for_equidistance) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',v_between_u_and_w) ).

cnf(prove_w_is_w1,negated_conjecture,
    w != w1,
    file('/export/starexec/sandbox/tmp/tmp.OYZuuFiV2U/E---3.1_5113.p',prove_w_is_w1) ).

cnf(c_0_9,axiom,
    ( equidistant(X3,X4,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    d2 ).

cnf(c_0_10,hypothesis,
    equidistant(v,w,v,w1),
    v_to_w_equals_v_to_w1 ).

cnf(c_0_11,axiom,
    ( X1 = X2
    | equidistant(X5,X7,X6,X8)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X5,X4,X6)
    | ~ equidistant(X1,X7,X3,X8)
    | ~ equidistant(X2,X7,X4,X8)
    | ~ between(X1,X2,X5)
    | ~ between(X3,X4,X6) ),
    outer_five_segment ).

cnf(c_0_12,hypothesis,
    equidistant(v,w1,v,w),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,hypothesis,
    ( X1 = v
    | equidistant(X2,w1,X3,w)
    | ~ between(X4,v,X3)
    | ~ between(X1,v,X2)
    | ~ equidistant(v,X2,v,X3)
    | ~ equidistant(X1,w1,X4,w)
    | ~ equidistant(X1,v,X4,v) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    equidistant(X1,X2,X1,X2),
    d1 ).

cnf(c_0_15,hypothesis,
    equidistant(u,w,u,w1),
    u_to_w_equals_u_to_w1 ).

cnf(c_0_16,hypothesis,
    ( X1 = v
    | equidistant(X2,w1,X2,w)
    | ~ between(X3,v,X2)
    | ~ between(X1,v,X2)
    | ~ equidistant(X1,w1,X3,w)
    | ~ equidistant(X1,v,X3,v) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,hypothesis,
    equidistant(u,w1,u,w),
    inference(spm,[status(thm)],[c_0_9,c_0_15]) ).

cnf(c_0_18,hypothesis,
    u != v,
    u_not_v ).

cnf(c_0_19,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    identity_for_equidistance ).

cnf(c_0_20,hypothesis,
    ( equidistant(X1,w1,X1,w)
    | ~ between(u,v,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),c_0_18]) ).

cnf(c_0_21,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_22,negated_conjecture,
    w != w1,
    prove_w_is_w1 ).

cnf(c_0_23,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n020.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Oct  3 06:43:46 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order model finding
% 0.23/0.52  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.OYZuuFiV2U/E---3.1_5113.p
% 5.98/1.36  # Version: 3.1pre001
% 5.98/1.36  # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.98/1.36  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.98/1.36  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.98/1.36  # Starting new_bool_3 with 300s (1) cores
% 5.98/1.36  # Starting new_bool_1 with 300s (1) cores
% 5.98/1.36  # Starting sh5l with 300s (1) cores
% 5.98/1.36  # new_bool_3 with pid 5218 completed with status 0
% 5.98/1.36  # Result found by new_bool_3
% 5.98/1.36  # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.98/1.36  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.98/1.36  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.98/1.36  # Starting new_bool_3 with 300s (1) cores
% 5.98/1.36  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.98/1.36  # Search class: FGUSM-FFMS00-SFFFFFNN
% 5.98/1.36  # partial match(2): FGUSM-FFMS33-SFFFFFNN
% 5.98/1.36  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.98/1.36  # Starting G-E--_208_C02AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 5.98/1.36  # G-E--_208_C02AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 5221 completed with status 0
% 5.98/1.36  # Result found by G-E--_208_C02AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.98/1.36  # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.98/1.36  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.98/1.36  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.98/1.36  # Starting new_bool_3 with 300s (1) cores
% 5.98/1.36  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.98/1.36  # Search class: FGUSM-FFMS00-SFFFFFNN
% 5.98/1.36  # partial match(2): FGUSM-FFMS33-SFFFFFNN
% 5.98/1.36  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.98/1.36  # Starting G-E--_208_C02AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 5.98/1.36  # Preprocessing time       : 0.001 s
% 5.98/1.36  # Presaturation interreduction done
% 5.98/1.36  
% 5.98/1.36  # Proof found!
% 5.98/1.36  # SZS status Unsatisfiable
% 5.98/1.36  # SZS output start CNFRefutation
% See solution above
% 5.98/1.36  # Parsed axioms                        : 69
% 5.98/1.36  # Removed by relevancy pruning/SinE    : 32
% 5.98/1.36  # Initial clauses                      : 37
% 5.98/1.36  # Removed in clause preprocessing      : 1
% 5.98/1.36  # Initial clauses in saturation        : 36
% 5.98/1.36  # Processed clauses                    : 7564
% 5.98/1.36  # ...of these trivial                  : 42
% 5.98/1.36  # ...subsumed                          : 5775
% 5.98/1.36  # ...remaining for further processing  : 1747
% 5.98/1.36  # Other redundant clauses eliminated   : 1
% 5.98/1.36  # Clauses deleted for lack of memory   : 0
% 5.98/1.36  # Backward-subsumed                    : 251
% 5.98/1.36  # Backward-rewritten                   : 0
% 5.98/1.36  # Generated clauses                    : 20560
% 5.98/1.36  # ...of the previous two non-redundant : 17202
% 5.98/1.36  # ...aggressively subsumed             : 0
% 5.98/1.36  # Contextual simplify-reflections      : 16
% 5.98/1.36  # Paramodulations                      : 20559
% 5.98/1.36  # Factorizations                       : 0
% 5.98/1.36  # NegExts                              : 0
% 5.98/1.36  # Equation resolutions                 : 1
% 5.98/1.36  # Total rewrite steps                  : 8709
% 5.98/1.36  # Propositional unsat checks           : 0
% 5.98/1.36  #    Propositional check models        : 0
% 5.98/1.36  #    Propositional check unsatisfiable : 0
% 5.98/1.36  #    Propositional clauses             : 0
% 5.98/1.36  #    Propositional clauses after purity: 0
% 5.98/1.36  #    Propositional unsat core size     : 0
% 5.98/1.36  #    Propositional preprocessing time  : 0.000
% 5.98/1.36  #    Propositional encoding time       : 0.000
% 5.98/1.36  #    Propositional solver time         : 0.000
% 5.98/1.36  #    Success case prop preproc time    : 0.000
% 5.98/1.36  #    Success case prop encoding time   : 0.000
% 5.98/1.36  #    Success case prop solver time     : 0.000
% 5.98/1.36  # Current number of processed clauses  : 1461
% 5.98/1.36  #    Positive orientable unit clauses  : 23
% 5.98/1.36  #    Positive unorientable unit clauses: 0
% 5.98/1.36  #    Negative unit clauses             : 12
% 5.98/1.36  #    Non-unit-clauses                  : 1426
% 5.98/1.36  # Current number of unprocessed clauses: 9578
% 5.98/1.36  # ...number of literals in the above   : 53023
% 5.98/1.36  # Current number of archived formulas  : 0
% 5.98/1.36  # Current number of archived clauses   : 285
% 5.98/1.36  # Clause-clause subsumption calls (NU) : 1010196
% 5.98/1.36  # Rec. Clause-clause subsumption calls : 457850
% 5.98/1.36  # Non-unit clause-clause subsumptions  : 5353
% 5.98/1.36  # Unit Clause-clause subsumption calls : 2382
% 5.98/1.36  # Rewrite failures with RHS unbound    : 0
% 5.98/1.36  # BW rewrite match attempts            : 40
% 5.98/1.36  # BW rewrite match successes           : 0
% 5.98/1.36  # Condensation attempts                : 0
% 5.98/1.36  # Condensation successes               : 0
% 5.98/1.36  # Termbank termtop insertions          : 340115
% 5.98/1.36  
% 5.98/1.36  # -------------------------------------------------
% 5.98/1.36  # User time                : 0.774 s
% 5.98/1.36  # System time              : 0.008 s
% 5.98/1.36  # Total time               : 0.782 s
% 5.98/1.36  # Maximum resident set size: 1808 pages
% 5.98/1.36  
% 5.98/1.36  # -------------------------------------------------
% 5.98/1.36  # User time                : 0.778 s
% 5.98/1.36  # System time              : 0.009 s
% 5.98/1.36  # Total time               : 0.787 s
% 5.98/1.36  # Maximum resident set size: 1728 pages
% 5.98/1.36  % E---3.1 exiting
%------------------------------------------------------------------------------