TSTP Solution File: COL117-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : COL117-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 07:29:11 EDT 2024

% Result   : Unsatisfiable 0.15s 0.51s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  11 unt;   0 nHn;  16 RR)
%            Number of literals    :   28 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-4 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/tmp/tmp.K9b8LPEeJg/E---3.1_24797.p',cls_conjecture_3) ).

cnf(cls_Comb_Oparcontract_Ointros__3_0,axiom,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X1),X2),X3),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X1,X3),c_Comb_Ocomb_Oop_A_D_D(X2,X3)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/tmp/tmp.K9b8LPEeJg/E---3.1_24797.p',cls_Comb_Oparcontract_Ointros__3_0) ).

cnf(cls_Comb_Oparcontract_Ointros__4_0,axiom,
    ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X3,X1),c_Comb_Ocomb_Oop_A_D_D(X4,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X3,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/tmp/tmp.K9b8LPEeJg/E---3.1_24797.p',cls_Comb_Oparcontract_Ointros__4_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/tmp/tmp.K9b8LPEeJg/E---3.1_24797.p',cls_conjecture_2) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/tmp/tmp.K9b8LPEeJg/E---3.1_24797.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/tmp/tmp.K9b8LPEeJg/E---3.1_24797.p',cls_conjecture_1) ).

cnf(c_0_6,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    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_Oop_A_D_D(c_Comb_Ocomb_OS,X1),X2),X3),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X1,X3),c_Comb_Ocomb_Oop_A_D_D(X2,X3)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    cls_Comb_Oparcontract_Ointros__3_0 ).

cnf(c_0_9,plain,
    ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X3,X1),c_Comb_Ocomb_Oop_A_D_D(X4,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X3,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(fof_simplification,[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0]) ).

cnf(c_0_10,negated_conjecture,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X3,X1),c_Comb_Ocomb_Oop_A_D_D(X4,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X3,X4,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    c_0_9 ).

cnf(c_0_12,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    cls_conjecture_2 ).

cnf(c_0_14,negated_conjecture,
    c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    cls_conjecture_0 ).

cnf(c_0_15,negated_conjecture,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_11]),c_0_13]),c_0_14])]) ).

cnf(c_0_16,negated_conjecture,
    c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    cls_conjecture_1 ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_16]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : COL117-1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 11:30:34 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.15/0.48  Running first-order model finding
% 0.15/0.48  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.K9b8LPEeJg/E---3.1_24797.p
% 0.15/0.51  # Version: 3.1.0
% 0.15/0.51  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.51  # Starting sh5l with 300s (1) cores
% 0.15/0.51  # new_bool_3 with pid 24875 completed with status 0
% 0.15/0.51  # Result found by new_bool_3
% 0.15/0.51  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51  # Search class: FHHSM-FFMS32-MFFFFFNN
% 0.15/0.51  # partial match(1): FGHSM-FFMS32-MFFFFFNN
% 0.15/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.15/0.51  # SAT001_MinMin_p005000_rr_RG with pid 24879 completed with status 0
% 0.15/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.51  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51  # Search class: FHHSM-FFMS32-MFFFFFNN
% 0.15/0.51  # partial match(1): FGHSM-FFMS32-MFFFFFNN
% 0.15/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.15/0.51  # Preprocessing time       : 0.002 s
% 0.15/0.51  # Presaturation interreduction done
% 0.15/0.51  
% 0.15/0.51  # Proof found!
% 0.15/0.51  # SZS status Unsatisfiable
% 0.15/0.51  # SZS output start CNFRefutation
% See solution above
% 0.15/0.51  # Parsed axioms                        : 1407
% 0.15/0.51  # Removed by relevancy pruning/SinE    : 1381
% 0.15/0.51  # Initial clauses                      : 26
% 0.15/0.51  # Removed in clause preprocessing      : 0
% 0.15/0.51  # Initial clauses in saturation        : 26
% 0.15/0.51  # Processed clauses                    : 54
% 0.15/0.51  # ...of these trivial                  : 0
% 0.15/0.51  # ...subsumed                          : 3
% 0.15/0.51  # ...remaining for further processing  : 51
% 0.15/0.51  # Other redundant clauses eliminated   : 0
% 0.15/0.51  # Clauses deleted for lack of memory   : 0
% 0.15/0.51  # Backward-subsumed                    : 1
% 0.15/0.51  # Backward-rewritten                   : 0
% 0.15/0.51  # Generated clauses                    : 14
% 0.15/0.51  # ...of the previous two non-redundant : 9
% 0.15/0.51  # ...aggressively subsumed             : 0
% 0.15/0.51  # Contextual simplify-reflections      : 0
% 0.15/0.51  # Paramodulations                      : 10
% 0.15/0.51  # Factorizations                       : 0
% 0.15/0.51  # NegExts                              : 0
% 0.15/0.51  # Equation resolutions                 : 4
% 0.15/0.51  # Disequality decompositions           : 0
% 0.15/0.51  # Total rewrite steps                  : 4
% 0.15/0.51  # ...of those cached                   : 1
% 0.15/0.51  # Propositional unsat checks           : 0
% 0.15/0.51  #    Propositional check models        : 0
% 0.15/0.51  #    Propositional check unsatisfiable : 0
% 0.15/0.51  #    Propositional clauses             : 0
% 0.15/0.51  #    Propositional clauses after purity: 0
% 0.15/0.51  #    Propositional unsat core size     : 0
% 0.15/0.51  #    Propositional preprocessing time  : 0.000
% 0.15/0.51  #    Propositional encoding time       : 0.000
% 0.15/0.51  #    Propositional solver time         : 0.000
% 0.15/0.51  #    Success case prop preproc time    : 0.000
% 0.15/0.51  #    Success case prop encoding time   : 0.000
% 0.15/0.51  #    Success case prop solver time     : 0.000
% 0.15/0.51  # Current number of processed clauses  : 27
% 0.15/0.51  #    Positive orientable unit clauses  : 7
% 0.15/0.51  #    Positive unorientable unit clauses: 0
% 0.15/0.51  #    Negative unit clauses             : 8
% 0.15/0.51  #    Non-unit-clauses                  : 12
% 0.15/0.51  # Current number of unprocessed clauses: 4
% 0.15/0.51  # ...number of literals in the above   : 9
% 0.15/0.51  # Current number of archived formulas  : 0
% 0.15/0.51  # Current number of archived clauses   : 24
% 0.15/0.51  # Clause-clause subsumption calls (NU) : 100
% 0.15/0.51  # Rec. Clause-clause subsumption calls : 96
% 0.15/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.51  # Unit Clause-clause subsumption calls : 14
% 0.15/0.51  # Rewrite failures with RHS unbound    : 0
% 0.15/0.51  # BW rewrite match attempts            : 21
% 0.15/0.51  # BW rewrite match successes           : 0
% 0.15/0.51  # Condensation attempts                : 0
% 0.15/0.51  # Condensation successes               : 0
% 0.15/0.51  # Termbank termtop insertions          : 9795
% 0.15/0.51  # Search garbage collected termcells   : 2882
% 0.15/0.51  
% 0.15/0.51  # -------------------------------------------------
% 0.15/0.51  # User time                : 0.009 s
% 0.15/0.51  # System time              : 0.001 s
% 0.15/0.51  # Total time               : 0.010 s
% 0.15/0.51  # Maximum resident set size: 2932 pages
% 0.15/0.51  
% 0.15/0.51  # -------------------------------------------------
% 0.15/0.51  # User time                : 0.026 s
% 0.15/0.51  # System time              : 0.004 s
% 0.15/0.51  # Total time               : 0.029 s
% 0.15/0.51  # Maximum resident set size: 2472 pages
% 0.15/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------