TSTP Solution File: LAT277-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LAT277-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 18:08:15 EDT 2023

% Result   : Unsatisfiable 0.71s 1.06s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (  12 unt;   0 nHn;  17 RR)
%            Number of literals    :   24 (   4 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_OPartialOrder__iff_0,axiom,
    ( c_Relation_Orefl(c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)
    | ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p',cls_Tarski_OPartialOrder__iff_0) ).

cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

cnf(cls_Relation_OreflD_0,axiom,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p',cls_Relation_OreflD_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_x,v_A,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p',cls_conjecture_0) ).

cnf(c_0_7,axiom,
    ( c_Relation_Orefl(c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)
    | ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
    cls_Tarski_OPartialOrder__iff_0 ).

cnf(c_0_8,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    cls_Tarski_Or_A_61_61_Aorder_Acl_0 ).

cnf(c_0_9,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    cls_Tarski_OA_A_61_61_Apset_Acl_0 ).

cnf(c_0_10,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    cls_Tarski_Ocl_A_58_APartialOrder_0 ).

cnf(c_0_11,axiom,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    cls_Relation_OreflD_0 ).

cnf(c_0_12,plain,
    c_Relation_Orefl(v_A,v_r,t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]) ).

cnf(c_0_13,negated_conjecture,
    ~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    cls_conjecture_1 ).

cnf(c_0_14,plain,
    ( c_in(c_Pair(X1,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(X1,v_A,t_a) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    c_in(v_x,v_A,t_a),
    cls_conjecture_0 ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.30  % Problem    : LAT277-1 : TPTP v8.1.2. Released v3.2.0.
% 0.30/0.31  % Command    : run_E %s %d THM
% 0.31/0.51  % Computer : n009.cluster.edu
% 0.31/0.51  % Model    : x86_64 x86_64
% 0.31/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.31/0.51  % Memory   : 8042.1875MB
% 0.31/0.51  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.31/0.51  % CPULimit   : 2400
% 0.31/0.51  % WCLimit    : 300
% 0.31/0.51  % DateTime   : Mon Oct  2 10:10:15 EDT 2023
% 0.31/0.51  % CPUTime    : 
% 0.42/0.90  Running first-order theorem proving
% 0.42/0.90  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.JxHpy7Vd7c/E---3.1_25745.p
% 0.71/1.06  # Version: 3.1pre001
% 0.71/1.06  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.71/1.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/1.06  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.71/1.06  # Starting new_bool_3 with 300s (1) cores
% 0.71/1.06  # Starting new_bool_1 with 300s (1) cores
% 0.71/1.06  # Starting sh5l with 300s (1) cores
% 0.71/1.06  # new_bool_1 with pid 25825 completed with status 0
% 0.71/1.06  # Result found by new_bool_1
% 0.71/1.06  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.71/1.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/1.06  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.71/1.06  # Starting new_bool_3 with 300s (1) cores
% 0.71/1.06  # Starting new_bool_1 with 300s (1) cores
% 0.71/1.06  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.71/1.06  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.71/1.06  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.71/1.06  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.71/1.06  # G-E--_303_C18_F1_URBAN_S0Y with pid 25828 completed with status 0
% 0.71/1.06  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.71/1.06  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.71/1.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/1.06  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.71/1.06  # Starting new_bool_3 with 300s (1) cores
% 0.71/1.06  # Starting new_bool_1 with 300s (1) cores
% 0.71/1.06  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.71/1.06  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.71/1.06  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.71/1.06  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.71/1.06  # Preprocessing time       : 0.016 s
% 0.71/1.06  
% 0.71/1.06  # Proof found!
% 0.71/1.06  # SZS status Unsatisfiable
% 0.71/1.06  # SZS output start CNFRefutation
% See solution above
% 0.71/1.06  # Parsed axioms                        : 2746
% 0.71/1.06  # Removed by relevancy pruning/SinE    : 2302
% 0.71/1.06  # Initial clauses                      : 444
% 0.71/1.06  # Removed in clause preprocessing      : 0
% 0.71/1.06  # Initial clauses in saturation        : 444
% 0.71/1.06  # Processed clauses                    : 466
% 0.71/1.06  # ...of these trivial                  : 9
% 0.71/1.06  # ...subsumed                          : 30
% 0.71/1.06  # ...remaining for further processing  : 427
% 0.71/1.06  # Other redundant clauses eliminated   : 0
% 0.71/1.06  # Clauses deleted for lack of memory   : 0
% 0.71/1.06  # Backward-subsumed                    : 1
% 0.71/1.06  # Backward-rewritten                   : 5
% 0.71/1.06  # Generated clauses                    : 2200
% 0.71/1.06  # ...of the previous two non-redundant : 1676
% 0.71/1.06  # ...aggressively subsumed             : 0
% 0.71/1.06  # Contextual simplify-reflections      : 1
% 0.71/1.06  # Paramodulations                      : 2179
% 0.71/1.06  # Factorizations                       : 0
% 0.71/1.06  # NegExts                              : 0
% 0.71/1.06  # Equation resolutions                 : 21
% 0.71/1.06  # Total rewrite steps                  : 684
% 0.71/1.06  # Propositional unsat checks           : 0
% 0.71/1.06  #    Propositional check models        : 0
% 0.71/1.06  #    Propositional check unsatisfiable : 0
% 0.71/1.06  #    Propositional clauses             : 0
% 0.71/1.06  #    Propositional clauses after purity: 0
% 0.71/1.06  #    Propositional unsat core size     : 0
% 0.71/1.06  #    Propositional preprocessing time  : 0.000
% 0.71/1.06  #    Propositional encoding time       : 0.000
% 0.71/1.06  #    Propositional solver time         : 0.000
% 0.71/1.06  #    Success case prop preproc time    : 0.000
% 0.71/1.06  #    Success case prop encoding time   : 0.000
% 0.71/1.06  #    Success case prop solver time     : 0.000
% 0.71/1.06  # Current number of processed clauses  : 421
% 0.71/1.06  #    Positive orientable unit clauses  : 55
% 0.71/1.06  #    Positive unorientable unit clauses: 2
% 0.71/1.06  #    Negative unit clauses             : 16
% 0.71/1.06  #    Non-unit-clauses                  : 348
% 0.71/1.06  # Current number of unprocessed clauses: 1652
% 0.71/1.06  # ...number of literals in the above   : 7511
% 0.71/1.06  # Current number of archived formulas  : 0
% 0.71/1.06  # Current number of archived clauses   : 6
% 0.71/1.06  # Clause-clause subsumption calls (NU) : 35458
% 0.71/1.06  # Rec. Clause-clause subsumption calls : 8563
% 0.71/1.06  # Non-unit clause-clause subsumptions  : 19
% 0.71/1.06  # Unit Clause-clause subsumption calls : 313
% 0.71/1.06  # Rewrite failures with RHS unbound    : 0
% 0.71/1.06  # BW rewrite match attempts            : 25
% 0.71/1.06  # BW rewrite match successes           : 5
% 0.71/1.06  # Condensation attempts                : 0
% 0.71/1.06  # Condensation successes               : 0
% 0.71/1.06  # Termbank termtop insertions          : 75088
% 0.71/1.06  
% 0.71/1.06  # -------------------------------------------------
% 0.71/1.06  # User time                : 0.093 s
% 0.71/1.06  # System time              : 0.013 s
% 0.71/1.06  # Total time               : 0.106 s
% 0.71/1.06  # Maximum resident set size: 4424 pages
% 0.71/1.06  
% 0.71/1.06  # -------------------------------------------------
% 0.71/1.06  # User time                : 0.135 s
% 0.71/1.06  # System time              : 0.016 s
% 0.71/1.06  # Total time               : 0.150 s
% 0.71/1.06  # Maximum resident set size: 3480 pages
% 0.71/1.06  % E---3.1 exiting
% 0.71/1.06  % E---3.1 exiting
%------------------------------------------------------------------------------