TSTP Solution File: COL124-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : COL124-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : Sat May  4 07:28:28 EDT 2024

% Result   : Unsatisfiable 0.55s 0.73s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-4 aty)
%            Number of variables   :   20 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Comb_OK__contractE_0,axiom,
    ~ c_in(c_Pair(c_Comb_Ocomb_OK,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/tmp/tmp.DWgSFNXJBv/E---3.1_27946.p',cls_Comb_OK__contractE_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_in(c_Pair(X1,v_x(X2,X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X2,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox/tmp/tmp.DWgSFNXJBv/E---3.1_27946.p',cls_conjecture_1) ).

cnf(cls_Comb_Ocontract_OK_0,axiom,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/tmp/tmp.DWgSFNXJBv/E---3.1_27946.p',cls_Comb_Ocontract_OK_0) ).

cnf(c_0_3,plain,
    ~ c_in(c_Pair(c_Comb_Ocomb_OK,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(fof_simplification,[status(thm)],[cls_Comb_OK__contractE_0]) ).

cnf(c_0_4,negated_conjecture,
    ( c_in(c_Pair(X1,v_x(X2,X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X2,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_5,plain,
    ~ c_in(c_Pair(c_Comb_Ocomb_OK,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    c_0_3 ).

cnf(c_0_6,negated_conjecture,
    ( c_in(c_Pair(X1,v_x(X2,X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X2,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    c_0_4 ).

cnf(c_0_7,negated_conjecture,
    ( ~ c_in(c_Pair(X1,c_Comb_Ocomb_OK,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,axiom,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    cls_Comb_Ocontract_OK_0 ).

cnf(c_0_9,negated_conjecture,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_OK),X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_9,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.23  % Problem    : COL124-1 : TPTP v8.1.2. Released v3.2.0.
% 0.25/0.25  % Command    : run_E %s %d THM
% 0.25/0.46  % Computer : n013.cluster.edu
% 0.25/0.46  % Model    : x86_64 x86_64
% 0.25/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.46  % Memory   : 8042.1875MB
% 0.25/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.25/0.46  % CPULimit   : 300
% 0.25/0.46  % WCLimit    : 300
% 0.25/0.46  % DateTime   : Fri May  3 11:28:34 EDT 2024
% 0.25/0.46  % CPUTime    : 
% 0.44/0.70  Running first-order theorem proving
% 0.44/0.70  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.DWgSFNXJBv/E---3.1_27946.p
% 0.55/0.73  # Version: 3.1.0
% 0.55/0.73  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.55/0.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.55/0.73  # Starting new_bool_3 with 300s (1) cores
% 0.55/0.73  # Starting new_bool_1 with 300s (1) cores
% 0.55/0.73  # Starting sh5l with 300s (1) cores
% 0.55/0.73  # new_bool_3 with pid 28026 completed with status 0
% 0.55/0.73  # Result found by new_bool_3
% 0.55/0.73  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.55/0.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.55/0.73  # Starting new_bool_3 with 300s (1) cores
% 0.55/0.73  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.55/0.73  # Search class: FHUSF-FFSF32-MFFFFFNN
% 0.55/0.73  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.55/0.73  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.55/0.73  # SAT001_MinMin_p005000_rr_RG with pid 28029 completed with status 0
% 0.55/0.73  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.55/0.73  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.55/0.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.73  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.55/0.73  # Starting new_bool_3 with 300s (1) cores
% 0.55/0.73  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.55/0.73  # Search class: FHUSF-FFSF32-MFFFFFNN
% 0.55/0.73  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.55/0.73  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.55/0.73  # Preprocessing time       : 0.003 s
% 0.55/0.73  # Presaturation interreduction done
% 0.55/0.73  
% 0.55/0.73  # Proof found!
% 0.55/0.73  # SZS status Unsatisfiable
% 0.55/0.73  # SZS output start CNFRefutation
% See solution above
% 0.55/0.73  # Parsed axioms                        : 1389
% 0.55/0.73  # Removed by relevancy pruning/SinE    : 1377
% 0.55/0.73  # Initial clauses                      : 12
% 0.55/0.73  # Removed in clause preprocessing      : 0
% 0.55/0.73  # Initial clauses in saturation        : 12
% 0.55/0.73  # Processed clauses                    : 24
% 0.55/0.73  # ...of these trivial                  : 0
% 0.55/0.73  # ...subsumed                          : 1
% 0.55/0.73  # ...remaining for further processing  : 23
% 0.55/0.73  # Other redundant clauses eliminated   : 0
% 0.55/0.73  # Clauses deleted for lack of memory   : 0
% 0.55/0.73  # Backward-subsumed                    : 0
% 0.55/0.73  # Backward-rewritten                   : 0
% 0.55/0.73  # Generated clauses                    : 10
% 0.55/0.73  # ...of the previous two non-redundant : 5
% 0.55/0.73  # ...aggressively subsumed             : 0
% 0.55/0.73  # Contextual simplify-reflections      : 0
% 0.55/0.73  # Paramodulations                      : 6
% 0.55/0.73  # Factorizations                       : 0
% 0.55/0.73  # NegExts                              : 0
% 0.55/0.73  # Equation resolutions                 : 4
% 0.55/0.73  # Disequality decompositions           : 0
% 0.55/0.73  # Total rewrite steps                  : 0
% 0.55/0.73  # ...of those cached                   : 0
% 0.55/0.73  # Propositional unsat checks           : 0
% 0.55/0.73  #    Propositional check models        : 0
% 0.55/0.73  #    Propositional check unsatisfiable : 0
% 0.55/0.73  #    Propositional clauses             : 0
% 0.55/0.73  #    Propositional clauses after purity: 0
% 0.55/0.73  #    Propositional unsat core size     : 0
% 0.55/0.73  #    Propositional preprocessing time  : 0.000
% 0.55/0.73  #    Propositional encoding time       : 0.000
% 0.55/0.73  #    Propositional solver time         : 0.000
% 0.55/0.73  #    Success case prop preproc time    : 0.000
% 0.55/0.73  #    Success case prop encoding time   : 0.000
% 0.55/0.73  #    Success case prop solver time     : 0.000
% 0.55/0.73  # Current number of processed clauses  : 12
% 0.55/0.73  #    Positive orientable unit clauses  : 1
% 0.55/0.73  #    Positive unorientable unit clauses: 0
% 0.55/0.73  #    Negative unit clauses             : 3
% 0.55/0.73  #    Non-unit-clauses                  : 8
% 0.55/0.73  # Current number of unprocessed clauses: 1
% 0.55/0.73  # ...number of literals in the above   : 3
% 0.55/0.73  # Current number of archived formulas  : 0
% 0.55/0.73  # Current number of archived clauses   : 11
% 0.55/0.73  # Clause-clause subsumption calls (NU) : 20
% 0.55/0.73  # Rec. Clause-clause subsumption calls : 20
% 0.55/0.73  # Non-unit clause-clause subsumptions  : 0
% 0.55/0.73  # Unit Clause-clause subsumption calls : 0
% 0.55/0.73  # Rewrite failures with RHS unbound    : 0
% 0.55/0.73  # BW rewrite match attempts            : 0
% 0.55/0.73  # BW rewrite match successes           : 0
% 0.55/0.73  # Condensation attempts                : 0
% 0.55/0.73  # Condensation successes               : 0
% 0.55/0.73  # Termbank termtop insertions          : 8871
% 0.55/0.73  # Search garbage collected termcells   : 2813
% 0.55/0.73  
% 0.55/0.73  # -------------------------------------------------
% 0.55/0.73  # User time                : 0.007 s
% 0.55/0.73  # System time              : 0.004 s
% 0.55/0.73  # Total time               : 0.011 s
% 0.55/0.73  # Maximum resident set size: 2868 pages
% 0.55/0.73  
% 0.55/0.73  # -------------------------------------------------
% 0.55/0.73  # User time                : 0.021 s
% 0.55/0.73  # System time              : 0.004 s
% 0.55/0.73  # Total time               : 0.025 s
% 0.55/0.73  # Maximum resident set size: 2444 pages
% 0.55/0.73  % E---3.1 exiting
% 0.55/0.73  % E exiting
%------------------------------------------------------------------------------