TSTP Solution File: GEO125-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GEO125-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 20:00:42 EDT 2024

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   32 (  14 unt;   5 nHn;  32 RR)
%            Number of literals    :   61 (  11 equ;  33 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   62 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(between_c_defn_1,axiom,
    ( ~ between_c(X1,X2,X3,X4)
    | X2 != X4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).

cnf(o3_24,axiom,
    ( between_c(ax2_sk4(X1,X4,X3,X2),X2,X3,X4)
    | ~ between_o(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o3_24) ).

cnf(finish_point_defn_13,axiom,
    ( X1 = X3
    | ordered_by(X2,X3,X1)
    | ~ finish_point(X1,X2)
    | ~ incident_o(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',finish_point_defn_13) ).

cnf(finish_point_defn_12,axiom,
    ( incident_o(X1,X2)
    | ~ finish_point(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',finish_point_defn_12) ).

cnf(between_o_defn_6,axiom,
    ( between_o(X1,X4,X3,X2)
    | ~ ordered_by(X1,X2,X3)
    | ~ ordered_by(X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',between_o_defn_6) ).

cnf(corollary_4_10_2_133,negated_conjecture,
    finish_point(sk26,sk25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_2_133) ).

cnf(corollary_4_10_2_134,negated_conjecture,
    finish_point(sk27,sk25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_2_134) ).

cnf(corollary_4_10_2_135,negated_conjecture,
    sk26 != sk27,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_2_135) ).

cnf(c_0_8,plain,
    ( ~ between_c(X1,X2,X3,X4)
    | X2 != X4 ),
    inference(fof_simplification,[status(thm)],[between_c_defn_1]) ).

cnf(c_0_9,plain,
    ( ~ between_c(X1,X2,X3,X4)
    | X2 != X4 ),
    c_0_8 ).

cnf(c_0_10,plain,
    ( between_c(ax2_sk4(X1,X4,X3,X2),X2,X3,X4)
    | ~ between_o(X1,X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[o3_24]) ).

cnf(c_0_11,plain,
    ( X1 = X3
    | ordered_by(X2,X3,X1)
    | ~ finish_point(X1,X2)
    | ~ incident_o(X3,X2) ),
    inference(fof_simplification,[status(thm)],[finish_point_defn_13]) ).

cnf(c_0_12,plain,
    ( incident_o(X1,X2)
    | ~ finish_point(X1,X2) ),
    inference(fof_simplification,[status(thm)],[finish_point_defn_12]) ).

cnf(c_0_13,plain,
    ~ between_c(X1,X2,X3,X2),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( between_c(ax2_sk4(X1,X4,X3,X2),X2,X3,X4)
    | ~ between_o(X1,X2,X3,X4) ),
    c_0_10 ).

cnf(c_0_15,plain,
    ( between_o(X1,X4,X3,X2)
    | ~ ordered_by(X1,X2,X3)
    | ~ ordered_by(X1,X3,X4) ),
    inference(fof_simplification,[status(thm)],[between_o_defn_6]) ).

cnf(c_0_16,plain,
    ( X1 = X3
    | ordered_by(X2,X3,X1)
    | ~ finish_point(X1,X2)
    | ~ incident_o(X3,X2) ),
    c_0_11 ).

cnf(c_0_17,negated_conjecture,
    finish_point(sk26,sk25),
    corollary_4_10_2_133 ).

cnf(c_0_18,plain,
    ( incident_o(X1,X2)
    | ~ finish_point(X1,X2) ),
    c_0_12 ).

cnf(c_0_19,negated_conjecture,
    finish_point(sk27,sk25),
    corollary_4_10_2_134 ).

cnf(c_0_20,negated_conjecture,
    sk26 != sk27,
    inference(fof_simplification,[status(thm)],[corollary_4_10_2_135]) ).

cnf(c_0_21,plain,
    ~ between_o(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_22,plain,
    ( between_o(X1,X4,X3,X2)
    | ~ ordered_by(X1,X2,X3)
    | ~ ordered_by(X1,X3,X4) ),
    c_0_15 ).

cnf(c_0_23,negated_conjecture,
    ( sk26 = X1
    | ordered_by(sk25,X1,sk26)
    | ~ incident_o(X1,sk25) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    incident_o(sk27,sk25),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    sk26 != sk27,
    c_0_20 ).

cnf(c_0_26,negated_conjecture,
    ( sk27 = X1
    | ordered_by(sk25,X1,sk27)
    | ~ incident_o(X1,sk25) ),
    inference(spm,[status(thm)],[c_0_16,c_0_19]) ).

cnf(c_0_27,negated_conjecture,
    incident_o(sk26,sk25),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_28,plain,
    ( ~ ordered_by(X1,X2,X3)
    | ~ ordered_by(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    ordered_by(sk25,sk27,sk26),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ordered_by(sk25,sk26,sk27),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07  % Problem    : GEO125-1 : TPTP v8.2.0. Released v2.4.0.
% 0.01/0.08  % Command    : run_E %s %d THM
% 0.08/0.26  % Computer : n014.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit   : 300
% 0.08/0.26  % WCLimit    : 300
% 0.08/0.26  % DateTime   : Sun May 19 13:51:37 EDT 2024
% 0.12/0.26  % CPUTime    : 
% 0.12/0.33  Running first-order model finding
% 0.12/0.33  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/benchmark/theBenchmark.p
% 0.12/0.35  # Version: 3.1.0
% 0.12/0.35  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.35  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.35  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.35  # Starting sh5l with 300s (1) cores
% 0.12/0.35  # sh5l with pid 980 completed with status 0
% 0.12/0.35  # Result found by sh5l
% 0.12/0.35  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.35  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.35  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.35  # Starting sh5l with 300s (1) cores
% 0.12/0.35  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.35  # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.12/0.35  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.35  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.12/0.35  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 987 completed with status 0
% 0.12/0.35  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.35  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.35  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.35  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.35  # Starting sh5l with 300s (1) cores
% 0.12/0.35  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.35  # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.12/0.35  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.35  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.12/0.35  # Preprocessing time       : 0.001 s
% 0.12/0.35  # Presaturation interreduction done
% 0.12/0.35  
% 0.12/0.35  # Proof found!
% 0.12/0.35  # SZS status Unsatisfiable
% 0.12/0.35  # SZS output start CNFRefutation
% See solution above
% 0.12/0.35  # Parsed axioms                        : 99
% 0.12/0.35  # Removed by relevancy pruning/SinE    : 24
% 0.12/0.35  # Initial clauses                      : 75
% 0.12/0.35  # Removed in clause preprocessing      : 9
% 0.12/0.35  # Initial clauses in saturation        : 66
% 0.12/0.35  # Processed clauses                    : 157
% 0.12/0.35  # ...of these trivial                  : 0
% 0.12/0.35  # ...subsumed                          : 4
% 0.12/0.35  # ...remaining for further processing  : 153
% 0.12/0.35  # Other redundant clauses eliminated   : 7
% 0.12/0.35  # Clauses deleted for lack of memory   : 0
% 0.12/0.35  # Backward-subsumed                    : 0
% 0.12/0.35  # Backward-rewritten                   : 0
% 0.12/0.35  # Generated clauses                    : 128
% 0.12/0.35  # ...of the previous two non-redundant : 97
% 0.12/0.35  # ...aggressively subsumed             : 0
% 0.12/0.35  # Contextual simplify-reflections      : 2
% 0.12/0.35  # Paramodulations                      : 121
% 0.12/0.35  # Factorizations                       : 0
% 0.12/0.35  # NegExts                              : 0
% 0.12/0.35  # Equation resolutions                 : 7
% 0.12/0.35  # Disequality decompositions           : 0
% 0.12/0.35  # Total rewrite steps                  : 11
% 0.12/0.35  # ...of those cached                   : 6
% 0.12/0.35  # Propositional unsat checks           : 0
% 0.12/0.35  #    Propositional check models        : 0
% 0.12/0.35  #    Propositional check unsatisfiable : 0
% 0.12/0.35  #    Propositional clauses             : 0
% 0.12/0.35  #    Propositional clauses after purity: 0
% 0.12/0.35  #    Propositional unsat core size     : 0
% 0.12/0.35  #    Propositional preprocessing time  : 0.000
% 0.12/0.35  #    Propositional encoding time       : 0.000
% 0.12/0.35  #    Propositional solver time         : 0.000
% 0.12/0.35  #    Success case prop preproc time    : 0.000
% 0.12/0.35  #    Success case prop encoding time   : 0.000
% 0.12/0.35  #    Success case prop solver time     : 0.000
% 0.12/0.35  # Current number of processed clauses  : 80
% 0.12/0.35  #    Positive orientable unit clauses  : 6
% 0.12/0.35  #    Positive unorientable unit clauses: 0
% 0.12/0.35  #    Negative unit clauses             : 3
% 0.12/0.35  #    Non-unit-clauses                  : 71
% 0.12/0.35  # Current number of unprocessed clauses: 72
% 0.12/0.35  # ...number of literals in the above   : 268
% 0.12/0.35  # Current number of archived formulas  : 0
% 0.12/0.35  # Current number of archived clauses   : 66
% 0.12/0.35  # Clause-clause subsumption calls (NU) : 2356
% 0.12/0.35  # Rec. Clause-clause subsumption calls : 1587
% 0.12/0.35  # Non-unit clause-clause subsumptions  : 6
% 0.12/0.35  # Unit Clause-clause subsumption calls : 64
% 0.12/0.35  # Rewrite failures with RHS unbound    : 0
% 0.12/0.35  # BW rewrite match attempts            : 0
% 0.12/0.35  # BW rewrite match successes           : 0
% 0.12/0.35  # Condensation attempts                : 0
% 0.12/0.35  # Condensation successes               : 0
% 0.12/0.35  # Termbank termtop insertions          : 4596
% 0.12/0.35  # Search garbage collected termcells   : 297
% 0.12/0.35  
% 0.12/0.35  # -------------------------------------------------
% 0.12/0.35  # User time                : 0.007 s
% 0.12/0.35  # System time              : 0.001 s
% 0.12/0.35  # Total time               : 0.009 s
% 0.12/0.35  # Maximum resident set size: 1868 pages
% 0.12/0.35  
% 0.12/0.35  # -------------------------------------------------
% 0.12/0.35  # User time                : 0.009 s
% 0.12/0.35  # System time              : 0.002 s
% 0.12/0.35  # Total time               : 0.011 s
% 0.12/0.35  # Maximum resident set size: 1788 pages
% 0.12/0.35  % E---3.1 exiting
%------------------------------------------------------------------------------