TSTP Solution File: GEO094-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO094-1 : TPTP v8.1.2. Released v2.4.0.
% 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 17:33:45 EDT 2023

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  19 unt;   4 nHn;  37 RR)
%            Number of literals    :   89 (   0 equ;  52 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   61 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(inner_point_defn_22,axiom,
    ( ~ inner_point(X1,X2)
    | ~ end_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',inner_point_defn_22) ).

cnf(c3_37,axiom,
    inner_point(ax0_sk8(X1),X1),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',c3_37) ).

cnf(meet_defn_26,axiom,
    ( end_point(X4,X2)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X2)
    | ~ incident_c(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',meet_defn_26) ).

cnf(proposition_2_14_3_67,negated_conjecture,
    meet(sk17,sk15,sk16),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',proposition_2_14_3_67) ).

cnf(inner_point_defn_21,axiom,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',inner_point_defn_21) ).

cnf(meet_defn_27,axiom,
    ( end_point(X4,X3)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X2)
    | ~ incident_c(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',meet_defn_27) ).

cnf(end_point_defn_14,axiom,
    ( part_of(X3,X4)
    | part_of(X4,X3)
    | ~ end_point(X1,X2)
    | ~ part_of(X3,X2)
    | ~ part_of(X4,X2)
    | ~ incident_c(X1,X3)
    | ~ incident_c(X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',end_point_defn_14) ).

cnf(proposition_2_14_3_70,negated_conjecture,
    end_point(sk17,sk14),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',proposition_2_14_3_70) ).

cnf(meet_defn_25,axiom,
    ( incident_c(X1,X3)
    | ~ meet(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',meet_defn_25) ).

cnf(part_of_defn_1,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',part_of_defn_1) ).

cnf(proposition_2_14_3_69,negated_conjecture,
    part_of(sk16,sk14),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',proposition_2_14_3_69) ).

cnf(meet_defn_24,axiom,
    ( incident_c(X1,X2)
    | ~ meet(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',meet_defn_24) ).

cnf(proposition_2_14_3_68,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox/tmp/tmp.Ce5NDCwngA/E---3.1_31439.p',proposition_2_14_3_68) ).

cnf(c_0_13,axiom,
    ( ~ inner_point(X1,X2)
    | ~ end_point(X1,X2) ),
    inner_point_defn_22 ).

cnf(c_0_14,axiom,
    inner_point(ax0_sk8(X1),X1),
    c3_37 ).

cnf(c_0_15,axiom,
    ( end_point(X4,X2)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X2)
    | ~ incident_c(X4,X3) ),
    meet_defn_26 ).

cnf(c_0_16,negated_conjecture,
    meet(sk17,sk15,sk16),
    proposition_2_14_3_67 ).

cnf(c_0_17,axiom,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    inner_point_defn_21 ).

cnf(c_0_18,axiom,
    ( end_point(X4,X3)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X2)
    | ~ incident_c(X4,X3) ),
    meet_defn_27 ).

cnf(c_0_19,axiom,
    ( part_of(X3,X4)
    | part_of(X4,X3)
    | ~ end_point(X1,X2)
    | ~ part_of(X3,X2)
    | ~ part_of(X4,X2)
    | ~ incident_c(X1,X3)
    | ~ incident_c(X1,X4) ),
    end_point_defn_14 ).

cnf(c_0_20,negated_conjecture,
    end_point(sk17,sk14),
    proposition_2_14_3_70 ).

cnf(c_0_21,axiom,
    ( incident_c(X1,X3)
    | ~ meet(X1,X2,X3) ),
    meet_defn_25 ).

cnf(c_0_22,plain,
    ~ end_point(ax0_sk8(X1),X1),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_23,negated_conjecture,
    ( end_point(X1,sk15)
    | ~ incident_c(X1,sk16)
    | ~ incident_c(X1,sk15) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_24,plain,
    incident_c(ax0_sk8(X1),X1),
    inference(spm,[status(thm)],[c_0_17,c_0_14]) ).

cnf(c_0_25,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    part_of_defn_1 ).

cnf(c_0_26,negated_conjecture,
    ( end_point(X1,sk16)
    | ~ incident_c(X1,sk16)
    | ~ incident_c(X1,sk15) ),
    inference(spm,[status(thm)],[c_0_18,c_0_16]) ).

cnf(c_0_27,negated_conjecture,
    ( part_of(X1,X2)
    | part_of(X2,X1)
    | ~ incident_c(sk17,X1)
    | ~ incident_c(sk17,X2)
    | ~ part_of(X1,sk14)
    | ~ part_of(X2,sk14) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    incident_c(sk17,sk16),
    inference(spm,[status(thm)],[c_0_21,c_0_16]) ).

cnf(c_0_29,negated_conjecture,
    part_of(sk16,sk14),
    proposition_2_14_3_69 ).

cnf(c_0_30,axiom,
    ( incident_c(X1,X2)
    | ~ meet(X1,X2,X3) ),
    meet_defn_24 ).

cnf(c_0_31,negated_conjecture,
    ~ incident_c(ax0_sk8(sk15),sk16),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_32,plain,
    ( incident_c(ax0_sk8(X1),X2)
    | ~ part_of(X1,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ~ incident_c(ax0_sk8(sk16),sk15),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_26]),c_0_24])]) ).

cnf(c_0_34,negated_conjecture,
    ( part_of(X1,sk16)
    | part_of(sk16,X1)
    | ~ incident_c(sk17,X1)
    | ~ part_of(X1,sk14) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_35,negated_conjecture,
    incident_c(sk17,sk15),
    inference(spm,[status(thm)],[c_0_30,c_0_16]) ).

cnf(c_0_36,negated_conjecture,
    part_of(sk15,sk14),
    proposition_2_14_3_68 ).

cnf(c_0_37,negated_conjecture,
    ~ part_of(sk15,sk16),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ~ part_of(sk16,sk15),
    inference(spm,[status(thm)],[c_0_33,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO094-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n003.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 06:30:03 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.Ce5NDCwngA/E---3.1_31439.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 31516 completed with status 0
% 0.20/0.51  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # No SInE strategy applied
% 0.20/0.51  # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.51  # Starting new_bool_3 with 189s (1) cores
% 0.20/0.51  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.20/0.51  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.51  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 31527 completed with status 0
% 0.20/0.51  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # No SInE strategy applied
% 0.20/0.51  # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.51  # Starting new_bool_3 with 189s (1) cores
% 0.20/0.51  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.20/0.51  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.002 s
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Unsatisfiable
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 52
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  # Initial clauses                      : 52
% 0.20/0.51  # Removed in clause preprocessing      : 5
% 0.20/0.51  # Initial clauses in saturation        : 47
% 0.20/0.51  # Processed clauses                    : 121
% 0.20/0.51  # ...of these trivial                  : 0
% 0.20/0.51  # ...subsumed                          : 7
% 0.20/0.51  # ...remaining for further processing  : 114
% 0.20/0.51  # Other redundant clauses eliminated   : 3
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 6
% 0.20/0.51  # Backward-rewritten                   : 2
% 0.20/0.51  # Generated clauses                    : 380
% 0.20/0.51  # ...of the previous two non-redundant : 340
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 2
% 0.20/0.51  # Paramodulations                      : 364
% 0.20/0.51  # Factorizations                       : 9
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 7
% 0.20/0.51  # Total rewrite steps                  : 34
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 106
% 0.20/0.51  #    Positive orientable unit clauses  : 14
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 8
% 0.20/0.51  #    Non-unit-clauses                  : 84
% 0.20/0.51  # Current number of unprocessed clauses: 254
% 0.20/0.51  # ...number of literals in the above   : 1063
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 8
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 1009
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 532
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 7
% 0.20/0.51  # Unit Clause-clause subsumption calls : 211
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 19
% 0.20/0.51  # BW rewrite match successes           : 2
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 6284
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.013 s
% 0.20/0.51  # System time              : 0.002 s
% 0.20/0.51  # Total time               : 0.014 s
% 0.20/0.51  # Maximum resident set size: 1700 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.057 s
% 0.20/0.51  # System time              : 0.007 s
% 0.20/0.51  # Total time               : 0.064 s
% 0.20/0.51  # Maximum resident set size: 1720 pages
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------