TSTP Solution File: ITP004+2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : ITP004+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n029.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  : 600s
% DateTime : Sat Jul 16 22:47:57 EDT 2022

% Result   : Theorem 1.35s 0.54s
% Output   : CNFRefutation 1.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP004+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun  3 02:22:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  # No SInE strategy applied
% 0.12/0.37  # Auto-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.12/0.37  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.12/0.37  #
% 0.12/0.37  # Number of axioms: 44 Number of unprocessed: 44
% 0.12/0.37  # Tableaux proof search.
% 0.12/0.37  # APR header successfully linked.
% 0.12/0.37  # Hello from C++
% 0.12/0.37  # The folding up rule is enabled...
% 0.12/0.37  # Local unification is enabled...
% 0.12/0.37  # Any saturation attempts will use folding labels...
% 0.12/0.37  # 44 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 3 conjectures.
% 0.12/0.37  # There are 3 start rule candidates:
% 0.12/0.37  # Found 8 unit axioms.
% 0.12/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37  # 3 start rule tableaux created.
% 0.12/0.37  # 36 extension rule candidate clauses
% 0.12/0.37  # 8 unit axiom clauses
% 0.12/0.37  
% 0.12/0.37  # Requested 8, 32 cores available to the main process.
% 0.12/0.37  # There are not enough tableaux to fork, creating more from the initial 3
% 0.12/0.37  # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37  # We now have 13 tableaux to operate on
% 1.35/0.54  # There were 2 total branch saturation attempts.
% 1.35/0.54  # There were 0 of these attempts blocked.
% 1.35/0.54  # There were 0 deferred branch saturation attempts.
% 1.35/0.54  # There were 0 free duplicated saturations.
% 1.35/0.54  # There were 2 total successful branch saturations.
% 1.35/0.54  # There were 0 successful branch saturations in interreduction.
% 1.35/0.54  # There were 0 successful branch saturations on the branch.
% 1.35/0.54  # There were 2 successful branch saturations after the branch.
% 1.35/0.54  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/0.54  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/0.54  # Begin clausification derivation
% 1.35/0.54  
% 1.35/0.54  # End clausification derivation
% 1.35/0.54  # Begin listing active clauses obtained from FOF to CNF conversion
% 1.35/0.54  cnf(i_0_1, plain, (ne(bool))).
% 1.35/0.54  cnf(i_0_2, plain, (ne(ind))).
% 1.35/0.54  cnf(i_0_44, negated_conjecture, (ne(esk4_0))).
% 1.35/0.54  cnf(i_0_16, plain, (mem(c_2Ebool_2E_7E,arr(bool,bool)))).
% 1.35/0.54  cnf(i_0_43, negated_conjecture, (mem(esk5_0,arr(esk4_0,bool)))).
% 1.35/0.54  cnf(i_0_10, plain, (ap(i(X2),X1)=X1|~mem(X1,X2))).
% 1.35/0.54  cnf(i_0_3, plain, (ne(arr(X1,X2))|~ne(X2)|~ne(X1))).
% 1.35/0.54  cnf(i_0_5, plain, (X1=X2|p(X2)|p(X1)|~mem(X2,bool)|~mem(X1,bool))).
% 1.35/0.54  cnf(i_0_17, plain, (p(X1)|p(ap(c_2Ebool_2E_7E,X1))|~mem(X1,bool))).
% 1.35/0.54  cnf(i_0_6, plain, (X1=X2|~p(X2)|~p(X1)|~mem(X2,bool)|~mem(X1,bool))).
% 1.35/0.54  cnf(i_0_9, plain, (ap(k(X2,X3),X1)=X3|~mem(X1,X2))).
% 1.35/0.54  cnf(i_0_18, plain, (~p(X1)|~mem(X1,bool)|~p(ap(c_2Ebool_2E_7E,X1)))).
% 1.35/0.54  cnf(i_0_11, plain, (mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))))).
% 1.35/0.54  cnf(i_0_19, plain, (mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))))).
% 1.35/0.54  cnf(i_0_30, plain, (mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))|~ne(X1))).
% 1.35/0.54  cnf(i_0_27, plain, (mem(c_2Emin_2E_3D(X1),arr(X1,arr(X1,bool)))|~ne(X1))).
% 1.35/0.54  cnf(i_0_24, plain, (mem(c_2Epred__set_2ECHOICE(X1),arr(arr(X1,bool),X1))|~ne(X1))).
% 1.35/0.54  cnf(i_0_13, plain, (p(X1)|p(ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2))|~mem(X2,bool)|~mem(X1,bool))).
% 1.35/0.54  cnf(i_0_12, plain, (p(ap(ap(c_2Emin_2E_3D_3D_3E,X2),X1))|~p(X1)|~mem(X2,bool)|~mem(X1,bool))).
% 1.35/0.54  cnf(i_0_4, plain, (mem(ap(X1,X4),X3)|~mem(X4,X2)|~mem(X1,arr(X2,X3)))).
% 1.35/0.54  cnf(i_0_20, plain, (p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))|~p(X2)|~p(X1)|~mem(X2,bool)|~mem(X1,bool))).
% 1.35/0.54  cnf(i_0_26, plain, (mem(c_2Epred__set_2EREST(X1),arr(arr(X1,bool),arr(X1,bool)))|~ne(X1))).
% 1.35/0.54  cnf(i_0_32, plain, (mem(esk2_2(X1,X2),X1)|p(ap(c_2Ebool_2E_21(X1),X2))|~ne(X1)|~mem(X2,arr(X1,bool)))).
% 1.35/0.54  cnf(i_0_28, plain, (p(ap(ap(c_2Emin_2E_3D(X3),X1),X2))|X1!=X2|~ne(X3)|~mem(X2,X3)|~mem(X1,X3))).
% 1.35/0.54  cnf(i_0_21, plain, (p(X1)|~mem(X2,bool)|~mem(X1,bool)|~p(ap(ap(c_2Ebool_2E_2F_5C,X2),X1)))).
% 1.35/0.54  cnf(i_0_22, plain, (p(X1)|~mem(X2,bool)|~mem(X1,bool)|~p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2)))).
% 1.35/0.54  cnf(i_0_14, plain, (p(X2)|~p(X1)|~mem(X2,bool)|~mem(X1,bool)|~p(ap(ap(c_2Emin_2E_3D_3D_3E,X1),X2)))).
% 1.35/0.54  cnf(i_0_41, plain, (ap(ap(c_2Epred__set_2EDELETE(X1),X2),ap(c_2Epred__set_2ECHOICE(X1),X2))=ap(c_2Epred__set_2EREST(X1),X2)|~ne(X1)|~mem(X2,arr(X1,bool)))).
% 1.35/0.54  cnf(i_0_33, plain, (p(ap(X2,X3))|~ne(X1)|~mem(X3,X1)|~p(ap(c_2Ebool_2E_21(X1),X2))|~mem(X2,arr(X1,bool)))).
% 1.35/0.54  cnf(i_0_23, plain, (mem(c_2Ebool_2EIN(X1),arr(X1,arr(arr(X1,bool),bool)))|~ne(X1))).
% 1.35/0.54  cnf(i_0_29, plain, (X2=X3|~ne(X1)|~mem(X3,X1)|~mem(X2,X1)|~p(ap(ap(c_2Emin_2E_3D(X1),X2),X3)))).
% 1.35/0.54  cnf(i_0_15, plain, (mem(c_2Epred__set_2ESUBSET(X1),arr(arr(X1,bool),arr(arr(X1,bool),bool)))|~ne(X1))).
% 1.35/0.54  cnf(i_0_31, plain, (p(ap(c_2Ebool_2E_21(X2),X1))|~ne(X2)|~mem(X1,arr(X2,bool))|~p(ap(X1,esk2_2(X2,X1))))).
% 1.35/0.54  cnf(i_0_25, plain, (mem(c_2Epred__set_2EDELETE(X1),arr(arr(X1,bool),arr(X1,arr(X1,bool))))|~ne(X1))).
% 1.35/0.54  cnf(i_0_42, negated_conjecture, (~p(ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0)))).
% 1.35/0.54  cnf(i_0_36, plain, (mem(esk3_3(X1,X2,X3),X1)|p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|~ne(X1)|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool)))).
% 1.35/0.54  cnf(i_0_37, plain, (p(ap(ap(c_2Ebool_2EIN(X1),X4),X3))|~ne(X1)|~mem(X4,X1)|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool))|~p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|~p(ap(ap(c_2Ebool_2EIN(X1),X4),X2)))).
% 1.35/0.54  cnf(i_0_38, plain, (X2=X4|p(ap(ap(c_2Ebool_2EIN(X1),X2),ap(ap(c_2Epred__set_2EDELETE(X1),X3),X4)))|~ne(X1)|~mem(X4,X1)|~mem(X2,X1)|~mem(X3,arr(X1,bool))|~p(ap(ap(c_2Ebool_2EIN(X1),X2),X3)))).
% 1.35/0.54  cnf(i_0_39, plain, (X1!=X2|~ne(X3)|~mem(X2,X3)|~mem(X1,X3)|~mem(X4,arr(X3,bool))|~p(ap(ap(c_2Ebool_2EIN(X3),X1),ap(ap(c_2Epred__set_2EDELETE(X3),X4),X2))))).
% 1.35/0.54  cnf(i_0_8, plain, (X3=X4|mem(esk1_4(X1,X2,X3,X4),X1)|~mem(X4,arr(X1,X2))|~mem(X3,arr(X1,X2)))).
% 1.35/0.54  cnf(i_0_40, plain, (p(ap(ap(c_2Ebool_2EIN(X1),X2),X3))|~ne(X1)|~mem(X4,X1)|~mem(X2,X1)|~mem(X3,arr(X1,bool))|~p(ap(ap(c_2Ebool_2EIN(X1),X2),ap(ap(c_2Epred__set_2EDELETE(X1),X3),X4))))).
% 1.35/0.54  cnf(i_0_35, plain, (p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|p(ap(ap(c_2Ebool_2EIN(X1),esk3_3(X1,X2,X3)),X2))|~ne(X1)|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool)))).
% 1.35/0.54  cnf(i_0_34, plain, (p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|~ne(X1)|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool))|~p(ap(ap(c_2Ebool_2EIN(X1),esk3_3(X1,X2,X3)),X3)))).
% 1.35/0.54  cnf(i_0_7, plain, (X1=X4|ap(X1,esk1_4(X2,X3,X1,X4))!=ap(X4,esk1_4(X2,X3,X1,X4))|~mem(X4,arr(X2,X3))|~mem(X1,arr(X2,X3)))).
% 1.35/0.54  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 1.35/0.54  # Begin printing tableau
% 1.35/0.54  # Found 7 steps
% 1.35/0.54  cnf(i_0_42, negated_conjecture, (~p(ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0))), inference(start_rule)).
% 1.35/0.54  cnf(i_0_45, plain, (~p(ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0))), inference(extension_rule, [i_0_36])).
% 1.35/0.54  cnf(i_0_142, plain, (~ne(esk4_0)), inference(closure_rule, [i_0_44])).
% 1.35/0.54  cnf(i_0_143, plain, (~mem(esk5_0,arr(esk4_0,bool))), inference(closure_rule, [i_0_43])).
% 1.35/0.54  cnf(i_0_140, plain, (mem(esk3_3(esk4_0,ap(c_2Epred__set_2EREST(esk4_0),esk5_0),esk5_0),esk4_0)), inference(extension_rule, [i_0_10])).
% 1.35/0.54  cnf(i_0_144, plain, (~mem(ap(c_2Epred__set_2EREST(esk4_0),esk5_0),arr(esk4_0,bool))), inference(etableau_closure_rule, [i_0_144, ...])).
% 1.35/0.54  cnf(i_0_189, plain, (ap(i(esk4_0),esk3_3(esk4_0,ap(c_2Epred__set_2EREST(esk4_0),esk5_0),esk5_0))=esk3_3(esk4_0,ap(c_2Epred__set_2EREST(esk4_0),esk5_0),esk5_0)), inference(etableau_closure_rule, [i_0_189, ...])).
% 1.35/0.54  # End printing tableau
% 1.35/0.54  # SZS output end
% 1.35/0.54  # Branches closed with saturation will be marked with an "s"
% 1.35/0.54  # Child (11995) has found a proof.
% 1.35/0.54  
% 1.35/0.54  # Proof search is over...
% 1.35/0.54  # Freeing feature tree
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