TSTP Solution File: GEO062-3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO062-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 17:31:19 EDT 2023

% Result   : Unsatisfiable 0.49s 0.55s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  15 unt;   3 nHn;  15 RR)
%            Number of literals    :   35 (  13 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-4 aty)
%            Number of variables   :   51 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(b5,axiom,
    ( between(X2,X3,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',b5) ).

cnf(segment_construction1,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',segment_construction1) ).

cnf(t1,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',t1) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',v_between_u_and_w) ).

cnf(prove_v_equals_insertion,negated_conjecture,
    v != insertion(u,w,u,v),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',prove_v_equals_insertion) ).

cnf(insertion,axiom,
    insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',insertion) ).

cnf(d10_1,axiom,
    ( X1 = X2
    | X3 = extension(X1,X2,X2,X3)
    | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',d10_1) ).

cnf(e3_1,axiom,
    X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/tmp/tmp.oS5ZOIOutA/E---3.1_13128.p',e3_1) ).

cnf(c_0_8,axiom,
    ( between(X2,X3,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    b5 ).

cnf(c_0_9,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    segment_construction1 ).

cnf(c_0_10,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_11,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_12,plain,
    ( between(X1,X2,extension(X3,X2,X4,X5))
    | ~ between(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,hypothesis,
    between(w,v,u),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,hypothesis,
    between(v,u,extension(w,u,X1,X2)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    v != insertion(u,w,u,v),
    prove_v_equals_insertion ).

cnf(c_0_16,axiom,
    insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
    insertion ).

cnf(c_0_17,axiom,
    ( X1 = X2
    | X3 = extension(X1,X2,X2,X3)
    | ~ between(X1,X2,X3) ),
    d10_1 ).

cnf(c_0_18,hypothesis,
    between(extension(w,u,X1,X2),u,v),
    inference(spm,[status(thm)],[c_0_10,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    v != extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,hypothesis,
    ( extension(extension(w,u,X1,X2),u,u,v) = v
    | extension(w,u,X1,X2) = u ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,axiom,
    X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
    e3_1 ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO062-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 06:16:05 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  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.oS5ZOIOutA/E---3.1_13128.p
% 0.49/0.55  # Version: 3.1pre001
% 0.49/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.49/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.49/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.49/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.49/0.55  # Starting sh5l with 300s (1) cores
% 0.49/0.55  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13206 completed with status 0
% 0.49/0.55  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.49/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.49/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.49/0.55  # No SInE strategy applied
% 0.49/0.55  # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.49/0.55  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.49/0.55  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.49/0.55  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 0.49/0.55  # Starting new_bool_3 with 151s (1) cores
% 0.49/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 151s (1) cores
% 0.49/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 146s (1) cores
% 0.49/0.55  # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 13212 completed with status 0
% 0.49/0.55  # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.49/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.49/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.49/0.55  # No SInE strategy applied
% 0.49/0.55  # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.49/0.55  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.49/0.55  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.49/0.55  # Preprocessing time       : 0.002 s
% 0.49/0.55  # Presaturation interreduction done
% 0.49/0.55  
% 0.49/0.55  # Proof found!
% 0.49/0.55  # SZS status Unsatisfiable
% 0.49/0.55  # SZS output start CNFRefutation
% See solution above
% 0.49/0.55  # Parsed axioms                        : 75
% 0.49/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.49/0.55  # Initial clauses                      : 75
% 0.49/0.55  # Removed in clause preprocessing      : 3
% 0.49/0.55  # Initial clauses in saturation        : 72
% 0.49/0.55  # Processed clauses                    : 305
% 0.49/0.55  # ...of these trivial                  : 12
% 0.49/0.55  # ...subsumed                          : 93
% 0.49/0.55  # ...remaining for further processing  : 200
% 0.49/0.55  # Other redundant clauses eliminated   : 0
% 0.49/0.55  # Clauses deleted for lack of memory   : 0
% 0.49/0.55  # Backward-subsumed                    : 0
% 0.49/0.55  # Backward-rewritten                   : 8
% 0.49/0.55  # Generated clauses                    : 711
% 0.49/0.55  # ...of the previous two non-redundant : 429
% 0.49/0.55  # ...aggressively subsumed             : 0
% 0.49/0.55  # Contextual simplify-reflections      : 0
% 0.49/0.55  # Paramodulations                      : 702
% 0.49/0.55  # Factorizations                       : 0
% 0.49/0.55  # NegExts                              : 0
% 0.49/0.55  # Equation resolutions                 : 9
% 0.49/0.55  # Total rewrite steps                  : 298
% 0.49/0.55  # Propositional unsat checks           : 0
% 0.49/0.55  #    Propositional check models        : 0
% 0.49/0.55  #    Propositional check unsatisfiable : 0
% 0.49/0.55  #    Propositional clauses             : 0
% 0.49/0.55  #    Propositional clauses after purity: 0
% 0.49/0.55  #    Propositional unsat core size     : 0
% 0.49/0.55  #    Propositional preprocessing time  : 0.000
% 0.49/0.55  #    Propositional encoding time       : 0.000
% 0.49/0.55  #    Propositional solver time         : 0.000
% 0.49/0.55  #    Success case prop preproc time    : 0.000
% 0.49/0.55  #    Success case prop encoding time   : 0.000
% 0.49/0.55  #    Success case prop solver time     : 0.000
% 0.49/0.55  # Current number of processed clauses  : 127
% 0.49/0.55  #    Positive orientable unit clauses  : 31
% 0.49/0.55  #    Positive unorientable unit clauses: 0
% 0.49/0.55  #    Negative unit clauses             : 8
% 0.49/0.55  #    Non-unit-clauses                  : 88
% 0.49/0.55  # Current number of unprocessed clauses: 255
% 0.49/0.55  # ...number of literals in the above   : 690
% 0.49/0.55  # Current number of archived formulas  : 0
% 0.49/0.55  # Current number of archived clauses   : 75
% 0.49/0.55  # Clause-clause subsumption calls (NU) : 3249
% 0.49/0.55  # Rec. Clause-clause subsumption calls : 2733
% 0.49/0.55  # Non-unit clause-clause subsumptions  : 93
% 0.49/0.55  # Unit Clause-clause subsumption calls : 8
% 0.49/0.55  # Rewrite failures with RHS unbound    : 0
% 0.49/0.55  # BW rewrite match attempts            : 202
% 0.49/0.55  # BW rewrite match successes           : 8
% 0.49/0.55  # Condensation attempts                : 0
% 0.49/0.55  # Condensation successes               : 0
% 0.49/0.55  # Termbank termtop insertions          : 8876
% 0.49/0.55  
% 0.49/0.55  # -------------------------------------------------
% 0.49/0.55  # User time                : 0.018 s
% 0.49/0.55  # System time              : 0.005 s
% 0.49/0.55  # Total time               : 0.023 s
% 0.49/0.55  # Maximum resident set size: 1780 pages
% 0.49/0.55  
% 0.49/0.55  # -------------------------------------------------
% 0.49/0.55  # User time                : 0.112 s
% 0.49/0.55  # System time              : 0.009 s
% 0.49/0.55  # Total time               : 0.121 s
% 0.49/0.55  # Maximum resident set size: 1732 pages
% 0.49/0.55  % E---3.1 exiting
% 0.49/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------