TSTP Solution File: GEO030-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO030-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 17:31:10 EDT 2023

% Result   : Timeout 326.70s 300.16s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   30 (  18 unt;   3 nHn;  27 RR)
%            Number of literals    :   63 (  10 equ;  34 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   :   56 (   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/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',transitivity_for_equidistance) ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X1,X2,X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',reflexivity_for_equidistance) ).

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/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',outer_five_segment) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',v_between_u_and_w) ).

cnf(v_to_w_equals_v_to_w1,hypothesis,
    equidistant(v,w,v,w1),
    file('/export/starexec/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',v_to_w_equals_v_to_w1) ).

cnf(u_to_w_equals_u_to_w1,hypothesis,
    equidistant(u,w,u,w1),
    file('/export/starexec/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',u_to_w_equals_u_to_w1) ).

cnf(u_not_v,hypothesis,
    u != v,
    file('/export/starexec/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',u_not_v) ).

cnf(identity_for_equidistance,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',identity_for_equidistance) ).

cnf(prove_w_is_w1,negated_conjecture,
    w != w1,
    file('/export/starexec/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p',prove_w_is_w1) ).

cnf(c_0_9,axiom,
    ( equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    transitivity_for_equidistance ).

cnf(c_0_10,axiom,
    equidistant(X1,X2,X2,X1),
    reflexivity_for_equidistance ).

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,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_13,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,hypothesis,
    equidistant(v,w,v,w1),
    v_to_w_equals_v_to_w1 ).

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

cnf(c_0_16,hypothesis,
    ( X1 = X2
    | equidistant(X3,X4,w,X5)
    | ~ between(X1,X2,X3)
    | ~ equidistant(X2,X3,v,w)
    | ~ equidistant(X1,X2,u,v)
    | ~ equidistant(X2,X4,v,X5)
    | ~ equidistant(X1,X4,u,X5) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,plain,
    equidistant(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

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

cnf(c_0_19,hypothesis,
    ( equidistant(X1,X2,v,w1)
    | ~ equidistant(v,w,X1,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_14]) ).

cnf(c_0_20,hypothesis,
    ( equidistant(X1,X2,u,w1)
    | ~ equidistant(u,w,X1,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_15]) ).

cnf(c_0_21,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    identity_for_equidistance ).

cnf(c_0_22,hypothesis,
    ( equidistant(w,X1,w,X2)
    | ~ equidistant(v,X1,v,X2)
    | ~ equidistant(u,X1,u,X2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_17]),c_0_17])]),c_0_18]) ).

cnf(c_0_23,hypothesis,
    equidistant(w,v,v,w1),
    inference(spm,[status(thm)],[c_0_19,c_0_10]) ).

cnf(c_0_24,hypothesis,
    equidistant(w,u,u,w1),
    inference(spm,[status(thm)],[c_0_20,c_0_10]) ).

cnf(c_0_25,hypothesis,
    ( w = X1
    | ~ equidistant(v,X1,v,w)
    | ~ equidistant(u,X1,u,w) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,hypothesis,
    equidistant(v,w1,v,w),
    inference(spm,[status(thm)],[c_0_13,c_0_23]) ).

cnf(c_0_27,hypothesis,
    equidistant(u,w1,u,w),
    inference(spm,[status(thm)],[c_0_13,c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    w != w1,
    prove_w_is_w1 ).

cnf(c_0_29,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : GEO030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 06:28:31 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.RDGphzDOmj/E---3.1_25243.p
% 326.70/300.16  # Version: 3.1pre001
% 326.70/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 326.70/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 326.70/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 326.70/300.16  # Starting new_bool_3 with 300s (1) cores
% 326.70/300.16  # Starting new_bool_1 with 300s (1) cores
% 326.70/300.16  # Starting sh5l with 300s (1) cores
% 326.70/300.16  # sh5l with pid 25330 completed with status 0
% 326.70/300.16  # Result found by sh5l
% 326.70/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 326.70/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 326.70/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 326.70/300.16  # Starting new_bool_3 with 300s (1) cores
% 326.70/300.16  # Starting new_bool_1 with 300s (1) cores
% 326.70/300.16  # Starting sh5l with 300s (1) cores
% 326.70/300.16  # SinE strategy is gf500_gu_R04_F100_L20000
% 326.70/300.16  # Search class: FGUSS-FFMS33-SFFFFFNN
% 326.70/300.16  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 326.70/300.16  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 135s (1) cores
% 326.70/300.16  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 25334 completed with status 0
% 326.70/300.16  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 326.70/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 326.70/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 326.70/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 326.70/300.16  # Starting new_bool_3 with 300s (1) cores
% 326.70/300.16  # Starting new_bool_1 with 300s (1) cores
% 326.70/300.16  # Starting sh5l with 300s (1) cores
% 326.70/300.16  # SinE strategy is gf500_gu_R04_F100_L20000
% 326.70/300.16  # Search class: FGUSS-FFMS33-SFFFFFNN
% 326.70/300.16  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 326.70/300.16  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 135s (1) cores
% 326.70/300.16  # Preprocessing time       : 0.001 s
% 326.70/300.16  # Presaturation interreduction done
% 326.70/300.16  
% 326.70/300.16  # Proof found!
% 326.70/300.16  # SZS status Unsatisfiable
% 326.70/300.16  # SZS output start CNFRefutation
% See solution above
% 326.70/300.16  # Parsed axioms                        : 23
% 326.70/300.16  # Removed by relevancy pruning/SinE    : 5
% 326.70/300.16  # Initial clauses                      : 18
% 326.70/300.16  # Removed in clause preprocessing      : 0
% 326.70/300.16  # Initial clauses in saturation        : 18
% 326.70/300.16  # Processed clauses                    : 110
% 326.70/300.16  # ...of these trivial                  : 1
% 326.70/300.16  # ...subsumed                          : 1
% 326.70/300.16  # ...remaining for further processing  : 108
% 326.70/300.16  # Other redundant clauses eliminated   : 0
% 326.70/300.16  # Clauses deleted for lack of memory   : 0
% 326.70/300.16  # Backward-subsumed                    : 0
% 326.70/300.16  # Backward-rewritten                   : 5
% 326.70/300.16  # Generated clauses                    : 296
% 326.70/300.16  # ...of the previous two non-redundant : 179
% 326.70/300.16  # ...aggressively subsumed             : 0
% 326.70/300.16  # Contextual simplify-reflections      : 0
% 326.70/300.16  # Paramodulations                      : 296
% 326.70/300.16  # Factorizations                       : 0
% 326.70/300.16  # NegExts                              : 0
% 326.70/300.16  # Equation resolutions                 : 0
% 326.70/300.16  # Total rewrite steps                  : 143
% 326.70/300.16  # Propositional unsat checks           : 0
% 326.70/300.16  #    Propositional check models        : 0
% 326.70/300.16  #    Propositional check unsatisfiable : 0
% 326.70/300.16  #    Propositional clauses             : 0
% 326.70/300.16  #    Propositional clauses after purity: 0
% 326.70/300.16  #    Propositional unsat core size     : 0
% 326.70/300.16  #    Propositional preprocessing time  : 0.000
% 326.70/300.16  #    Propositional encoding time       : 0.000
% 326.70/300.16  #    Propositional solver time         : 0.000
% 326.70/300.16  #    Success case prop preproc time    : 0.000
% 326.70/300.16  #    Success case prop encoding time   : 0.000
% 326.70/300.16  #    Success case prop solver time     : 0.000
% 326.70/300.16  # Current number of processed clauses  : 85
% 326.70/300.16  #    Positive orientable unit clauses  : 37
% 326.70/300.16  #    Positive unorientable unit clauses: 0
% 326.70/300.16  #    Negative unit clauses             : 5
% 326.70/300.16  #    Non-unit-clauses                  : 43
% 326.70/300.16  # Current number of unprocessed clauses: 98
% 326.70/300.16  # ...number of literals in the above   : 262
% 326.70/300.16  # Current number of archived formulas  : 0
% 326.70/300.16  # Current number of archived clauses   : 23
% 326.70/300.16  # Clause-clause subsumption calls (NU) : 671
% 326.70/300.16  # Rec. Clause-clause subsumption calls : 327
% 326.70/300.16  # Non-unit clause-clause subsumptions  : 1
% 326.70/300.16  # Unit Clause-clause subsumption calls : 25
% 326.70/300.16  # Rewrite failures with RHS unbound    : 0
% 326.70/300.16  # BW rewrite match attempts            : 294
% 326.70/300.16  # BW rewrite match successes           : 5
% 326.70/300.16  # Condensation attempts                : 0
% 326.70/300.16  # Condensation successes               : 0
% 326.70/300.16  # Termbank termtop insertions          : 4269
% 326.70/300.16  
% 326.70/300.16  # -------------------------------------------------
% 326.70/300.16  # User time                : 0.008 s
% 326.70/300.16  # System time              : 0.003 s
% 326.70/300.16  # Total time               : 0.010 s
% 326.70/300.16  # Maximum resident set size: 1624 pages
% 326.70/300.16  
% 326.70/300.16  # -------------------------------------------------
% 326.70/300.16  # User time                : 0.011 s
% 326.70/300.16  # System time              : 0.003 s
% 326.70/300.16  # Total time               : 0.014 s
% 326.70/300.16  # Maximum resident set size: 1692 pages
% 326.70/300.16  % E---3.1 exiting
% 326.70/300.16  % E---3.1 exiting
%------------------------------------------------------------------------------