TSTP Solution File: GEO089-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 17:33:44 EDT 2023

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   54 (  18 unt;  21 nHn;  48 RR)
%            Number of literals    :  122 (   0 equ;  52 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   68 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(inner_point_defn_21,axiom,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',inner_point_defn_21) ).

cnf(corollary_2_11_68,negated_conjecture,
    inner_point(sk15,sk16),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',corollary_2_11_68) ).

cnf(inner_point_defn_22,axiom,
    ( ~ inner_point(X1,X2)
    | ~ end_point(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',inner_point_defn_22) ).

cnf(end_point_defn_16,axiom,
    ( part_of(ax0_sk4(X2,X1),X2)
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',end_point_defn_16) ).

cnf(part_of_defn_1,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',part_of_defn_1) ).

cnf(corollary_2_11_67,negated_conjecture,
    part_of(sk16,sk14),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',corollary_2_11_67) ).

cnf(end_point_defn_15,axiom,
    ( part_of(ax0_sk3(X2,X1),X2)
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',end_point_defn_15) ).

cnf(part_of_defn_2,axiom,
    ( incident_c(ax0_sk1(X1,X2),X1)
    | part_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',part_of_defn_2) ).

cnf(inner_point_defn_23,axiom,
    ( end_point(X1,X2)
    | inner_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',inner_point_defn_23) ).

cnf(corollary_2_11_69,negated_conjecture,
    ~ inner_point(sk15,sk14),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',corollary_2_11_69) ).

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.v2JshHk9we/E---3.1_2312.p',end_point_defn_14) ).

cnf(end_point_defn_18,axiom,
    ( incident_c(X1,ax0_sk4(X2,X1))
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',end_point_defn_18) ).

cnf(part_of_defn_3,axiom,
    ( part_of(X1,X2)
    | ~ incident_c(ax0_sk1(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',part_of_defn_3) ).

cnf(end_point_defn_17,axiom,
    ( incident_c(X1,ax0_sk3(X2,X1))
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',end_point_defn_17) ).

cnf(end_point_defn_20,axiom,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X2)
    | ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',end_point_defn_20) ).

cnf(end_point_defn_19,axiom,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X2)
    | ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.v2JshHk9we/E---3.1_2312.p',end_point_defn_19) ).

cnf(c_0_16,axiom,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    inner_point_defn_21 ).

cnf(c_0_17,negated_conjecture,
    inner_point(sk15,sk16),
    corollary_2_11_68 ).

cnf(c_0_18,axiom,
    ( ~ inner_point(X1,X2)
    | ~ end_point(X1,X2) ),
    inner_point_defn_22 ).

cnf(c_0_19,axiom,
    ( part_of(ax0_sk4(X2,X1),X2)
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    end_point_defn_16 ).

cnf(c_0_20,negated_conjecture,
    incident_c(sk15,sk16),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ~ end_point(sk15,sk16),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_22,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    part_of_defn_1 ).

cnf(c_0_23,negated_conjecture,
    part_of(sk16,sk14),
    corollary_2_11_67 ).

cnf(c_0_24,negated_conjecture,
    part_of(ax0_sk4(sk16,sk15),sk16),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_25,axiom,
    ( part_of(ax0_sk3(X2,X1),X2)
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    end_point_defn_15 ).

cnf(c_0_26,negated_conjecture,
    ( incident_c(X1,sk14)
    | ~ incident_c(X1,sk16) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( incident_c(X1,sk16)
    | ~ incident_c(X1,ax0_sk4(sk16,sk15)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_24]) ).

cnf(c_0_28,axiom,
    ( incident_c(ax0_sk1(X1,X2),X1)
    | part_of(X1,X2) ),
    part_of_defn_2 ).

cnf(c_0_29,negated_conjecture,
    part_of(ax0_sk3(sk16,sk15),sk16),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21]) ).

cnf(c_0_30,axiom,
    ( end_point(X1,X2)
    | inner_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    inner_point_defn_23 ).

cnf(c_0_31,negated_conjecture,
    incident_c(sk15,sk14),
    inference(spm,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_32,negated_conjecture,
    ~ inner_point(sk15,sk14),
    corollary_2_11_69 ).

cnf(c_0_33,negated_conjecture,
    ( incident_c(ax0_sk1(ax0_sk4(sk16,sk15),X1),sk16)
    | part_of(ax0_sk4(sk16,sk15),X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( incident_c(X1,sk16)
    | ~ incident_c(X1,ax0_sk3(sk16,sk15)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_29]) ).

cnf(c_0_35,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_36,negated_conjecture,
    end_point(sk15,sk14),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_37,axiom,
    ( incident_c(X1,ax0_sk4(X2,X1))
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    end_point_defn_18 ).

cnf(c_0_38,axiom,
    ( part_of(X1,X2)
    | ~ incident_c(ax0_sk1(X1,X2),X2) ),
    part_of_defn_3 ).

cnf(c_0_39,negated_conjecture,
    ( incident_c(ax0_sk1(ax0_sk4(sk16,sk15),X1),sk14)
    | part_of(ax0_sk4(sk16,sk15),X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( incident_c(ax0_sk1(ax0_sk3(sk16,sk15),X1),sk16)
    | part_of(ax0_sk3(sk16,sk15),X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_28]) ).

cnf(c_0_41,negated_conjecture,
    ( part_of(X1,X2)
    | part_of(X2,X1)
    | ~ incident_c(sk15,X2)
    | ~ incident_c(sk15,X1)
    | ~ part_of(X2,sk14)
    | ~ part_of(X1,sk14) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    incident_c(sk15,ax0_sk4(sk16,sk15)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_20]),c_0_21]) ).

cnf(c_0_43,negated_conjecture,
    part_of(ax0_sk4(sk16,sk15),sk14),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,axiom,
    ( incident_c(X1,ax0_sk3(X2,X1))
    | end_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    end_point_defn_17 ).

cnf(c_0_45,negated_conjecture,
    ( incident_c(ax0_sk1(ax0_sk3(sk16,sk15),X1),sk14)
    | part_of(ax0_sk3(sk16,sk15),X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    ( part_of(ax0_sk4(sk16,sk15),X1)
    | part_of(X1,ax0_sk4(sk16,sk15))
    | ~ incident_c(sk15,X1)
    | ~ part_of(X1,sk14) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_47,negated_conjecture,
    incident_c(sk15,ax0_sk3(sk16,sk15)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_20]),c_0_21]) ).

cnf(c_0_48,negated_conjecture,
    part_of(ax0_sk3(sk16,sk15),sk14),
    inference(spm,[status(thm)],[c_0_38,c_0_45]) ).

cnf(c_0_49,axiom,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X2)
    | ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1)) ),
    end_point_defn_20 ).

cnf(c_0_50,negated_conjecture,
    ( part_of(ax0_sk3(sk16,sk15),ax0_sk4(sk16,sk15))
    | part_of(ax0_sk4(sk16,sk15),ax0_sk3(sk16,sk15)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).

cnf(c_0_51,axiom,
    ( end_point(X1,X2)
    | ~ incident_c(X1,X2)
    | ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1)) ),
    end_point_defn_19 ).

cnf(c_0_52,negated_conjecture,
    part_of(ax0_sk3(sk16,sk15),ax0_sk4(sk16,sk15)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_20])]),c_0_21]) ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_20])]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n008.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 07:04:13 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.v2JshHk9we/E---3.1_2312.p
% 0.20/0.54  # Version: 3.1pre001
% 0.20/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54  # Starting sh5l with 300s (1) cores
% 0.20/0.54  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2418 completed with status 0
% 0.20/0.54  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.20/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.54  # No SInE strategy applied
% 0.20/0.54  # Search class: FGHSF-FFMF31-SFFFFFNN
% 0.20/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.54  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 756s (1) cores
% 0.20/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.54  # Starting new_bool_3 with 162s (1) cores
% 0.20/0.54  # Starting new_bool_1 with 158s (1) cores
% 0.20/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.54  # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 2425 completed with status 0
% 0.20/0.54  # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 0.20/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.54  # No SInE strategy applied
% 0.20/0.54  # Search class: FGHSF-FFMF31-SFFFFFNN
% 0.20/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.54  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 756s (1) cores
% 0.20/0.54  # Preprocessing time       : 0.002 s
% 0.20/0.54  # Presaturation interreduction done
% 0.20/0.54  
% 0.20/0.54  # Proof found!
% 0.20/0.54  # SZS status Unsatisfiable
% 0.20/0.54  # SZS output start CNFRefutation
% See solution above
% 0.20/0.54  # Parsed axioms                        : 51
% 0.20/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.54  # Initial clauses                      : 51
% 0.20/0.54  # Removed in clause preprocessing      : 5
% 0.20/0.54  # Initial clauses in saturation        : 46
% 0.20/0.54  # Processed clauses                    : 238
% 0.20/0.54  # ...of these trivial                  : 4
% 0.20/0.54  # ...subsumed                          : 18
% 0.20/0.54  # ...remaining for further processing  : 216
% 0.20/0.54  # Other redundant clauses eliminated   : 4
% 0.20/0.54  # Clauses deleted for lack of memory   : 0
% 0.20/0.54  # Backward-subsumed                    : 0
% 0.20/0.54  # Backward-rewritten                   : 1
% 0.20/0.54  # Generated clauses                    : 792
% 0.20/0.54  # ...of the previous two non-redundant : 731
% 0.20/0.54  # ...aggressively subsumed             : 0
% 0.20/0.54  # Contextual simplify-reflections      : 1
% 0.20/0.54  # Paramodulations                      : 775
% 0.20/0.54  # Factorizations                       : 9
% 0.20/0.54  # NegExts                              : 0
% 0.20/0.54  # Equation resolutions                 : 8
% 0.20/0.54  # Total rewrite steps                  : 52
% 0.20/0.54  # Propositional unsat checks           : 0
% 0.20/0.54  #    Propositional check models        : 0
% 0.20/0.54  #    Propositional check unsatisfiable : 0
% 0.20/0.54  #    Propositional clauses             : 0
% 0.20/0.54  #    Propositional clauses after purity: 0
% 0.20/0.54  #    Propositional unsat core size     : 0
% 0.20/0.54  #    Propositional preprocessing time  : 0.000
% 0.20/0.54  #    Propositional encoding time       : 0.000
% 0.20/0.54  #    Propositional solver time         : 0.000
% 0.20/0.54  #    Success case prop preproc time    : 0.000
% 0.20/0.54  #    Success case prop encoding time   : 0.000
% 0.20/0.54  #    Success case prop solver time     : 0.000
% 0.20/0.54  # Current number of processed clauses  : 169
% 0.20/0.54  #    Positive orientable unit clauses  : 29
% 0.20/0.54  #    Positive unorientable unit clauses: 0
% 0.20/0.54  #    Negative unit clauses             : 4
% 0.20/0.54  #    Non-unit-clauses                  : 136
% 0.20/0.54  # Current number of unprocessed clauses: 583
% 0.20/0.54  # ...number of literals in the above   : 2077
% 0.20/0.54  # Current number of archived formulas  : 0
% 0.20/0.54  # Current number of archived clauses   : 47
% 0.20/0.54  # Clause-clause subsumption calls (NU) : 2890
% 0.20/0.54  # Rec. Clause-clause subsumption calls : 1511
% 0.20/0.54  # Non-unit clause-clause subsumptions  : 17
% 0.20/0.54  # Unit Clause-clause subsumption calls : 218
% 0.20/0.54  # Rewrite failures with RHS unbound    : 0
% 0.20/0.54  # BW rewrite match attempts            : 23
% 0.20/0.54  # BW rewrite match successes           : 1
% 0.20/0.54  # Condensation attempts                : 0
% 0.20/0.54  # Condensation successes               : 0
% 0.20/0.54  # Termbank termtop insertions          : 13844
% 0.20/0.54  
% 0.20/0.54  # -------------------------------------------------
% 0.20/0.54  # User time                : 0.026 s
% 0.20/0.54  # System time              : 0.006 s
% 0.20/0.54  # Total time               : 0.031 s
% 0.20/0.54  # Maximum resident set size: 1700 pages
% 0.20/0.54  
% 0.20/0.54  # -------------------------------------------------
% 0.20/0.54  # User time                : 0.134 s
% 0.20/0.54  # System time              : 0.016 s
% 0.20/0.54  # Total time               : 0.150 s
% 0.20/0.54  # Maximum resident set size: 1732 pages
% 0.20/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------