TSTP Solution File: GEO082-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO082-1 : TPTP v8.1.2. 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:33:42 EDT 2023

% Result   : Unsatisfiable 1.05s 0.62s
% Output   : CNFRefutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   30 (  10 unt;   9 nHn;  20 RR)
%            Number of literals    :   67 (  21 equ;  25 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :   54 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(sum_defn_7,axiom,
    ( incident_c(ax0_sk2(X1,X2,X3),X3)
    | incident_c(ax0_sk2(X1,X2,X3),X2)
    | incident_c(ax0_sk2(X1,X2,X3),X1)
    | X3 = sum(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',sum_defn_7) ).

cnf(sum_defn_11,axiom,
    ( X3 = sum(X2,X1)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X2)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',sum_defn_11) ).

cnf(part_of_defn_1,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',part_of_defn_1) ).

cnf(sum_defn_6,axiom,
    ( incident_c(X4,X1)
    | X1 != sum(X2,X3)
    | ~ incident_c(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',sum_defn_6) ).

cnf(part_of_antisymmetry_68,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',part_of_antisymmetry_68) ).

cnf(sum_defn_12,axiom,
    ( X3 = sum(X2,X1)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X1)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',sum_defn_12) ).

cnf(part_of_antisymmetry_67,negated_conjecture,
    part_of(sk14,sk15),
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',part_of_antisymmetry_67) ).

cnf(part_of_antisymmetry_69,negated_conjecture,
    sk14 != sk15,
    file('/export/starexec/sandbox/tmp/tmp.FrgXQ6urpb/E---3.1_19236.p',part_of_antisymmetry_69) ).

cnf(c_0_8,axiom,
    ( incident_c(ax0_sk2(X1,X2,X3),X3)
    | incident_c(ax0_sk2(X1,X2,X3),X2)
    | incident_c(ax0_sk2(X1,X2,X3),X1)
    | X3 = sum(X2,X1) ),
    sum_defn_7 ).

cnf(c_0_9,axiom,
    ( X3 = sum(X2,X1)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X2)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
    sum_defn_11 ).

cnf(c_0_10,plain,
    ( sum(X1,X2) = X1
    | incident_c(ax0_sk2(X2,X1,X1),X2)
    | incident_c(ax0_sk2(X2,X1,X1),X1) ),
    inference(ef,[status(thm)],[c_0_8]) ).

cnf(c_0_11,axiom,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    part_of_defn_1 ).

cnf(c_0_12,plain,
    ( sum(X1,X2) = X1
    | incident_c(ax0_sk2(X2,X1,X1),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_13,axiom,
    ( incident_c(X4,X1)
    | X1 != sum(X2,X3)
    | ~ incident_c(X4,X3) ),
    sum_defn_6 ).

cnf(c_0_14,plain,
    ( sum(X1,X2) = X1
    | incident_c(ax0_sk2(X2,X1,X1),X3)
    | ~ part_of(X2,X3) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    part_of(sk15,sk14),
    part_of_antisymmetry_68 ).

cnf(c_0_16,plain,
    ( incident_c(X1,sum(X2,X3))
    | ~ incident_c(X1,X3) ),
    inference(er,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( sum(X1,sk15) = X1
    | incident_c(ax0_sk2(sk15,X1,X1),sk14) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    ( sum(X1,X2) = sum(X3,X4)
    | ~ incident_c(ax0_sk2(X4,X3,sum(X1,X2)),X3)
    | ~ incident_c(ax0_sk2(X4,X3,sum(X1,X2)),X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    sum(sk14,sk15) = sk14,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_17]),c_0_17]) ).

cnf(c_0_20,axiom,
    ( X3 = sum(X2,X1)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X1)
    | ~ incident_c(ax0_sk2(X1,X2,X3),X3) ),
    sum_defn_12 ).

cnf(c_0_21,plain,
    ( sum(X1,X2) = X2
    | incident_c(ax0_sk2(X2,X1,X2),X2)
    | incident_c(ax0_sk2(X2,X1,X2),X1) ),
    inference(ef,[status(thm)],[c_0_8]) ).

cnf(c_0_22,negated_conjecture,
    part_of(sk14,sk15),
    part_of_antisymmetry_67 ).

cnf(c_0_23,negated_conjecture,
    ( sum(X1,X2) = sk14
    | ~ incident_c(ax0_sk2(X2,X1,sk14),sk15)
    | ~ incident_c(ax0_sk2(X2,X1,sk14),X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( sum(X1,X2) = X2
    | incident_c(ax0_sk2(X2,X1,X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( sum(X1,sk14) = X1
    | incident_c(ax0_sk2(sk14,X1,X1),sk15) ),
    inference(spm,[status(thm)],[c_0_14,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    sum(sk15,sk14) = sk14,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    sk14 != sk15,
    part_of_antisymmetry_69 ).

cnf(c_0_28,negated_conjecture,
    ~ incident_c(ax0_sk2(sk14,sk15,sk15),sk15),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_25]),c_0_26]),c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 06:23:04 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order model finding
% 0.22/0.49  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.FrgXQ6urpb/E---3.1_19236.p
% 1.05/0.62  # Version: 3.1pre001
% 1.05/0.62  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.05/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.05/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.05/0.62  # Starting new_bool_3 with 300s (1) cores
% 1.05/0.62  # Starting new_bool_1 with 300s (1) cores
% 1.05/0.62  # Starting sh5l with 300s (1) cores
% 1.05/0.62  # sh5l with pid 19342 completed with status 0
% 1.05/0.62  # Result found by sh5l
% 1.05/0.62  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.05/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.05/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.05/0.62  # Starting new_bool_3 with 300s (1) cores
% 1.05/0.62  # Starting new_bool_1 with 300s (1) cores
% 1.05/0.62  # Starting sh5l with 300s (1) cores
% 1.05/0.62  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.05/0.62  # Search class: FGHSF-FFMF32-SFFFFFNN
% 1.05/0.62  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.05/0.62  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 1.05/0.62  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 19349 completed with status 0
% 1.05/0.62  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.05/0.62  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.05/0.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.05/0.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.05/0.62  # Starting new_bool_3 with 300s (1) cores
% 1.05/0.62  # Starting new_bool_1 with 300s (1) cores
% 1.05/0.62  # Starting sh5l with 300s (1) cores
% 1.05/0.62  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.05/0.62  # Search class: FGHSF-FFMF32-SFFFFFNN
% 1.05/0.62  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.05/0.62  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 1.05/0.62  # Preprocessing time       : 0.002 s
% 1.05/0.62  # Presaturation interreduction done
% 1.05/0.62  
% 1.05/0.62  # Proof found!
% 1.05/0.62  # SZS status Unsatisfiable
% 1.05/0.62  # SZS output start CNFRefutation
% See solution above
% 1.05/0.62  # Parsed axioms                        : 51
% 1.05/0.62  # Removed by relevancy pruning/SinE    : 10
% 1.05/0.62  # Initial clauses                      : 41
% 1.05/0.62  # Removed in clause preprocessing      : 3
% 1.05/0.62  # Initial clauses in saturation        : 38
% 1.05/0.62  # Processed clauses                    : 899
% 1.05/0.62  # ...of these trivial                  : 5
% 1.05/0.62  # ...subsumed                          : 358
% 1.05/0.62  # ...remaining for further processing  : 536
% 1.05/0.62  # Other redundant clauses eliminated   : 4
% 1.05/0.62  # Clauses deleted for lack of memory   : 0
% 1.05/0.62  # Backward-subsumed                    : 6
% 1.05/0.62  # Backward-rewritten                   : 7
% 1.05/0.62  # Generated clauses                    : 4885
% 1.05/0.62  # ...of the previous two non-redundant : 4715
% 1.05/0.62  # ...aggressively subsumed             : 0
% 1.05/0.62  # Contextual simplify-reflections      : 22
% 1.05/0.62  # Paramodulations                      : 4849
% 1.05/0.62  # Factorizations                       : 32
% 1.05/0.62  # NegExts                              : 0
% 1.05/0.62  # Equation resolutions                 : 4
% 1.05/0.62  # Total rewrite steps                  : 548
% 1.05/0.62  # Propositional unsat checks           : 0
% 1.05/0.62  #    Propositional check models        : 0
% 1.05/0.62  #    Propositional check unsatisfiable : 0
% 1.05/0.62  #    Propositional clauses             : 0
% 1.05/0.62  #    Propositional clauses after purity: 0
% 1.05/0.62  #    Propositional unsat core size     : 0
% 1.05/0.62  #    Propositional preprocessing time  : 0.000
% 1.05/0.62  #    Propositional encoding time       : 0.000
% 1.05/0.62  #    Propositional solver time         : 0.000
% 1.05/0.62  #    Success case prop preproc time    : 0.000
% 1.05/0.62  #    Success case prop encoding time   : 0.000
% 1.05/0.62  #    Success case prop solver time     : 0.000
% 1.05/0.62  # Current number of processed clauses  : 481
% 1.05/0.62  #    Positive orientable unit clauses  : 17
% 1.05/0.62  #    Positive unorientable unit clauses: 0
% 1.05/0.62  #    Negative unit clauses             : 4
% 1.05/0.62  #    Non-unit-clauses                  : 460
% 1.05/0.62  # Current number of unprocessed clauses: 3846
% 1.05/0.62  # ...number of literals in the above   : 15841
% 1.05/0.62  # Current number of archived formulas  : 0
% 1.05/0.62  # Current number of archived clauses   : 51
% 1.05/0.62  # Clause-clause subsumption calls (NU) : 22771
% 1.05/0.62  # Rec. Clause-clause subsumption calls : 12565
% 1.05/0.62  # Non-unit clause-clause subsumptions  : 384
% 1.05/0.62  # Unit Clause-clause subsumption calls : 114
% 1.05/0.62  # Rewrite failures with RHS unbound    : 0
% 1.05/0.62  # BW rewrite match attempts            : 10
% 1.05/0.62  # BW rewrite match successes           : 3
% 1.05/0.62  # Condensation attempts                : 0
% 1.05/0.62  # Condensation successes               : 0
% 1.05/0.62  # Termbank termtop insertions          : 99717
% 1.05/0.62  
% 1.05/0.62  # -------------------------------------------------
% 1.05/0.62  # User time                : 0.105 s
% 1.05/0.62  # System time              : 0.009 s
% 1.05/0.62  # Total time               : 0.114 s
% 1.05/0.62  # Maximum resident set size: 1772 pages
% 1.05/0.62  
% 1.05/0.62  # -------------------------------------------------
% 1.05/0.62  # User time                : 0.107 s
% 1.05/0.62  # System time              : 0.010 s
% 1.05/0.62  # Total time               : 0.118 s
% 1.05/0.62  # Maximum resident set size: 1732 pages
% 1.05/0.62  % E---3.1 exiting
%------------------------------------------------------------------------------