TSTP Solution File: GEO084-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO084-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 17:33:43 EDT 2023

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (  10 unt;   6 nHn;  20 RR)
%            Number of literals    :   41 (   2 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(sum_defn_4,axiom,
    ( incident_c(X4,X2)
    | incident_c(X4,X3)
    | X1 != sum(X2,X3)
    | ~ incident_c(X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p',sum_defn_4) ).

cnf(corollary_2_6_2_70,negated_conjecture,
    ~ part_of(sum(sk14,sk15),sk16),
    file('/export/starexec/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p',corollary_2_6_2_70) ).

cnf(part_of_defn_2,axiom,
    ( incident_c(ax0_sk1(X1,X2),X1)
    | part_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p',part_of_defn_2) ).

cnf(part_of_defn_1,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p',part_of_defn_1) ).

cnf(corollary_2_6_2_67,negated_conjecture,
    part_of(sk14,sk16),
    file('/export/starexec/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p',corollary_2_6_2_67) ).

cnf(part_of_defn_3,axiom,
    ( part_of(X1,X2)
    | ~ incident_c(ax0_sk1(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p',part_of_defn_3) ).

cnf(corollary_2_6_2_68,negated_conjecture,
    part_of(sk15,sk16),
    file('/export/starexec/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p',corollary_2_6_2_68) ).

cnf(c_0_7,axiom,
    ( incident_c(X4,X2)
    | incident_c(X4,X3)
    | X1 != sum(X2,X3)
    | ~ incident_c(X4,X1) ),
    sum_defn_4 ).

cnf(c_0_8,negated_conjecture,
    ~ part_of(sum(sk14,sk15),sk16),
    corollary_2_6_2_70 ).

cnf(c_0_9,axiom,
    ( incident_c(ax0_sk1(X1,X2),X1)
    | part_of(X1,X2) ),
    part_of_defn_2 ).

cnf(c_0_10,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    part_of_defn_1 ).

cnf(c_0_11,negated_conjecture,
    part_of(sk14,sk16),
    corollary_2_6_2_67 ).

cnf(c_0_12,plain,
    ( incident_c(X1,X2)
    | incident_c(X1,X3)
    | ~ incident_c(X1,sum(X3,X2)) ),
    inference(er,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15)),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,axiom,
    ( part_of(X1,X2)
    | ~ incident_c(ax0_sk1(X1,X2),X2) ),
    part_of_defn_3 ).

cnf(c_0_15,negated_conjecture,
    part_of(sk15,sk16),
    corollary_2_6_2_68 ).

cnf(c_0_16,negated_conjecture,
    ( incident_c(X1,sk16)
    | ~ incident_c(X1,sk14) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    ( incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15)
    | incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16),
    inference(spm,[status(thm)],[c_0_8,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( incident_c(X1,sk16)
    | ~ incident_c(X1,sk15) ),
    inference(spm,[status(thm)],[c_0_10,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO084-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 2400
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Oct  3 06:43:44 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.21/0.47  Running first-order model finding
% 0.21/0.48  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.U91gN6vlXR/E---3.1_16779.p
% 0.21/0.50  # Version: 3.1pre001
% 0.21/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16857 completed with status 0
% 0.21/0.50  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.50  # Starting new_bool_3 with 189s (1) cores
% 0.21/0.50  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.21/0.50  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.50  # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 16866 completed with status 0
% 0.21/0.50  # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.21/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 0.21/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.50  # Starting new_bool_3 with 189s (1) cores
% 0.21/0.50  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.002 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Unsatisfiable
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 52
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.50  # Initial clauses                      : 52
% 0.21/0.50  # Removed in clause preprocessing      : 5
% 0.21/0.50  # Initial clauses in saturation        : 47
% 0.21/0.50  # Processed clauses                    : 117
% 0.21/0.50  # ...of these trivial                  : 0
% 0.21/0.50  # ...subsumed                          : 3
% 0.21/0.50  # ...remaining for further processing  : 114
% 0.21/0.50  # Other redundant clauses eliminated   : 4
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 0
% 0.21/0.50  # Backward-rewritten                   : 1
% 0.21/0.50  # Generated clauses                    : 69
% 0.21/0.50  # ...of the previous two non-redundant : 62
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 65
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 4
% 0.21/0.50  # Total rewrite steps                  : 3
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 62
% 0.21/0.50  #    Positive orientable unit clauses  : 13
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 3
% 0.21/0.50  #    Non-unit-clauses                  : 46
% 0.21/0.50  # Current number of unprocessed clauses: 39
% 0.21/0.50  # ...number of literals in the above   : 147
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 48
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 721
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 448
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 3
% 0.21/0.50  # Unit Clause-clause subsumption calls : 36
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 1
% 0.21/0.50  # BW rewrite match successes           : 1
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 2124
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.008 s
% 0.21/0.50  # System time              : 0.002 s
% 0.21/0.50  # Total time               : 0.010 s
% 0.21/0.50  # Maximum resident set size: 1700 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.030 s
% 0.21/0.50  # System time              : 0.012 s
% 0.21/0.50  # Total time               : 0.042 s
% 0.21/0.50  # Maximum resident set size: 1720 pages
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------