TSTP Solution File: LAT263-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT263-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 18:10:15 EDT 2023

% Result   : Unsatisfiable 0.48s 0.80s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (  15 unt;   0 nHn;  15 RR)
%            Number of literals    :   29 (   6 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_OCL_Olub__in__lattice_0,axiom,
    ( c_in(c_Tarski_Olub(X3,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2)
    | ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | ~ c_lessequals(X3,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_Tarski_OCL_Olub__in__lattice_0) ).

cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
    c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

cnf(cls_Tarski_Oglb__dual__lub_0,axiom,
    c_Tarski_Oglb(X1,X2,X3) = c_Tarski_Olub(X1,c_Tarski_Odual(X2,X3),X3),
    file('/export/starexec/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_Tarski_Oglb__dual__lub_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/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

cnf(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

cnf(cls_Tarski_Odual_Acl_A_58_APartialOrder_0,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
    file('/export/starexec/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.ZgC7HZM48F/E---3.1_5837.p',cls_conjecture_0) ).

cnf(c_0_8,axiom,
    ( c_in(c_Tarski_Olub(X3,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2)
    | ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | ~ c_lessequals(X3,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)) ),
    cls_Tarski_OCL_Olub__in__lattice_0 ).

cnf(c_0_9,axiom,
    c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),
    cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0 ).

cnf(c_0_10,axiom,
    c_Tarski_Oglb(X1,X2,X3) = c_Tarski_Olub(X1,c_Tarski_Odual(X2,X3),X3),
    cls_Tarski_Oglb__dual__lub_0 ).

cnf(c_0_11,plain,
    ( c_in(c_Tarski_Oglb(X1,X2,X3),c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),X3)
    | ~ c_lessequals(X1,c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),tc_set(X3))
    | ~ c_in(c_Tarski_Odual(X2,X3),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
    | ~ c_in(c_Tarski_Odual(X2,X3),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_12,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_13,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0 ).

cnf(c_0_14,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    cls_Tarski_Odual_Acl_A_58_APartialOrder_0 ).

cnf(c_0_15,negated_conjecture,
    ~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
    cls_conjecture_1 ).

cnf(c_0_16,plain,
    ( c_in(c_Tarski_Oglb(X1,v_cl,t_a),v_A,t_a)
    | ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).

cnf(c_0_17,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    cls_conjecture_0 ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : LAT263-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 11:08:31 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.39/0.64  Running first-order model finding
% 0.39/0.64  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.ZgC7HZM48F/E---3.1_5837.p
% 0.48/0.80  # Version: 3.1pre001
% 0.48/0.80  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.48/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.80  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.80  # Starting new_bool_3 with 300s (1) cores
% 0.48/0.80  # Starting new_bool_1 with 300s (1) cores
% 0.48/0.80  # Starting sh5l with 300s (1) cores
% 0.48/0.80  # new_bool_3 with pid 5917 completed with status 0
% 0.48/0.80  # Result found by new_bool_3
% 0.48/0.80  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.48/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.80  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.80  # Starting new_bool_3 with 300s (1) cores
% 0.48/0.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.48/0.80  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.48/0.80  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.80  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.48/0.80  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 5922 completed with status 0
% 0.48/0.80  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.48/0.80  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.48/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.80  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.80  # Starting new_bool_3 with 300s (1) cores
% 0.48/0.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.48/0.80  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.48/0.80  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.80  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.48/0.80  # Preprocessing time       : 0.005 s
% 0.48/0.80  
% 0.48/0.80  # Proof found!
% 0.48/0.80  # SZS status Unsatisfiable
% 0.48/0.80  # SZS output start CNFRefutation
% See solution above
% 0.48/0.80  # Parsed axioms                        : 2748
% 0.48/0.80  # Removed by relevancy pruning/SinE    : 2680
% 0.48/0.80  # Initial clauses                      : 68
% 0.48/0.80  # Removed in clause preprocessing      : 0
% 0.48/0.80  # Initial clauses in saturation        : 68
% 0.48/0.80  # Processed clauses                    : 812
% 0.48/0.80  # ...of these trivial                  : 51
% 0.48/0.80  # ...subsumed                          : 472
% 0.48/0.80  # ...remaining for further processing  : 289
% 0.48/0.80  # Other redundant clauses eliminated   : 0
% 0.48/0.80  # Clauses deleted for lack of memory   : 0
% 0.48/0.80  # Backward-subsumed                    : 26
% 0.48/0.80  # Backward-rewritten                   : 3
% 0.48/0.80  # Generated clauses                    : 6226
% 0.48/0.80  # ...of the previous two non-redundant : 5594
% 0.48/0.80  # ...aggressively subsumed             : 0
% 0.48/0.80  # Contextual simplify-reflections      : 3
% 0.48/0.80  # Paramodulations                      : 6219
% 0.48/0.80  # Factorizations                       : 1
% 0.48/0.80  # NegExts                              : 0
% 0.48/0.80  # Equation resolutions                 : 6
% 0.48/0.80  # Total rewrite steps                  : 1710
% 0.48/0.80  # Propositional unsat checks           : 0
% 0.48/0.80  #    Propositional check models        : 0
% 0.48/0.80  #    Propositional check unsatisfiable : 0
% 0.48/0.80  #    Propositional clauses             : 0
% 0.48/0.80  #    Propositional clauses after purity: 0
% 0.48/0.80  #    Propositional unsat core size     : 0
% 0.48/0.80  #    Propositional preprocessing time  : 0.000
% 0.48/0.80  #    Propositional encoding time       : 0.000
% 0.48/0.80  #    Propositional solver time         : 0.000
% 0.48/0.80  #    Success case prop preproc time    : 0.000
% 0.48/0.80  #    Success case prop encoding time   : 0.000
% 0.48/0.80  #    Success case prop solver time     : 0.000
% 0.48/0.80  # Current number of processed clauses  : 260
% 0.48/0.80  #    Positive orientable unit clauses  : 47
% 0.48/0.80  #    Positive unorientable unit clauses: 8
% 0.48/0.80  #    Negative unit clauses             : 8
% 0.48/0.80  #    Non-unit-clauses                  : 197
% 0.48/0.80  # Current number of unprocessed clauses: 4834
% 0.48/0.80  # ...number of literals in the above   : 11973
% 0.48/0.80  # Current number of archived formulas  : 0
% 0.48/0.80  # Current number of archived clauses   : 29
% 0.48/0.80  # Clause-clause subsumption calls (NU) : 6120
% 0.48/0.80  # Rec. Clause-clause subsumption calls : 5004
% 0.48/0.80  # Non-unit clause-clause subsumptions  : 419
% 0.48/0.80  # Unit Clause-clause subsumption calls : 148
% 0.48/0.80  # Rewrite failures with RHS unbound    : 0
% 0.48/0.80  # BW rewrite match attempts            : 109
% 0.48/0.80  # BW rewrite match successes           : 31
% 0.48/0.80  # Condensation attempts                : 0
% 0.48/0.80  # Condensation successes               : 0
% 0.48/0.80  # Termbank termtop insertions          : 130445
% 0.48/0.80  
% 0.48/0.80  # -------------------------------------------------
% 0.48/0.80  # User time                : 0.077 s
% 0.48/0.80  # System time              : 0.011 s
% 0.48/0.80  # Total time               : 0.088 s
% 0.48/0.80  # Maximum resident set size: 4132 pages
% 0.48/0.80  
% 0.48/0.80  # -------------------------------------------------
% 0.48/0.80  # User time                : 0.109 s
% 0.48/0.80  # System time              : 0.013 s
% 0.48/0.80  # Total time               : 0.122 s
% 0.48/0.80  # Maximum resident set size: 3480 pages
% 0.48/0.80  % E---3.1 exiting
%------------------------------------------------------------------------------