TSTP Solution File: ITP018+2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : ITP018+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 : n019.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 22:48:18 EDT 2022

% Result   : Theorem 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP018+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 12:56:55 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___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  # Number of axioms: 34 Number of unprocessed: 34
% 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  # 34 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 9 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  # 25 extension rule candidate clauses
% 0.12/0.37  # 9 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 33 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37  # We now have 33 tableaux to operate on
% 0.12/0.38  # There were 1 total branch saturation attempts.
% 0.12/0.38  # There were 0 of these attempts blocked.
% 0.12/0.38  # There were 0 deferred branch saturation attempts.
% 0.12/0.38  # There were 0 free duplicated saturations.
% 0.12/0.38  # There were 1 total successful branch saturations.
% 0.12/0.38  # There were 0 successful branch saturations in interreduction.
% 0.12/0.38  # There were 0 successful branch saturations on the branch.
% 0.12/0.38  # There were 1 successful branch saturations after the branch.
% 0.12/0.38  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  # Begin clausification derivation
% 0.12/0.38  
% 0.12/0.38  # End clausification derivation
% 0.12/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.38  cnf(i_0_36, negated_conjecture, (ne(esk3_0))).
% 0.12/0.38  cnf(i_0_35, negated_conjecture, (ne(esk4_0))).
% 0.12/0.38  cnf(i_0_1, plain, (ne(bool))).
% 0.12/0.38  cnf(i_0_2, plain, (ne(ind))).
% 0.12/0.38  cnf(i_0_11, plain, (ne(ty_2Erealax_2Ereal))).
% 0.12/0.38  cnf(i_0_22, plain, (p(c_2Ebool_2ET))).
% 0.12/0.38  cnf(i_0_21, plain, (mem(c_2Ebool_2ET,bool))).
% 0.12/0.38  cnf(i_0_12, plain, (mem(c_2Erealax_2Ereal__neg,arr(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))).
% 0.12/0.38  cnf(i_0_34, negated_conjecture, (ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))!=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))).
% 0.12/0.38  cnf(i_0_16, plain, (ne(ty_2Ebool_2Eitself(X1))|~ne(X1))).
% 0.12/0.38  cnf(i_0_3, plain, (ne(arr(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_13, plain, (ne(ty_2Ebinary__ieee_2Efloat(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_15, plain, (ne(ty_2Epair_2Eprod(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_19, plain, (mem(c_2Ebool_2Ethe__value(X1),ty_2Ebool_2Eitself(X1))|~ne(X1))).
% 0.12/0.38  cnf(i_0_10, plain, (ap(i(X1),X2)=X2|~mem(X2,X1))).
% 0.12/0.38  cnf(i_0_9, plain, (ap(k(X1,X2),X3)=X2|~mem(X3,X1))).
% 0.12/0.38  cnf(i_0_5, plain, (X1=X2|p(X1)|p(X2)|~mem(X2,bool)|~mem(X1,bool))).
% 0.12/0.38  cnf(i_0_26, plain, (mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))|~ne(X1))).
% 0.12/0.38  cnf(i_0_6, plain, (X1=X2|~p(X2)|~p(X1)|~mem(X2,bool)|~mem(X1,bool))).
% 0.12/0.38  cnf(i_0_25, plain, (X1=X2|~p(ap(ap(c_2Emin_2E_3D(X3),X1),X2))|~mem(X2,X3)|~mem(X1,X3)|~ne(X3))).
% 0.12/0.38  cnf(i_0_4, plain, (mem(ap(X1,X2),X3)|~mem(X1,arr(X4,X3))|~mem(X2,X4))).
% 0.12/0.38  cnf(i_0_27, plain, (p(ap(c_2Ebool_2E_21(X1),X2))|~p(ap(X2,esk2_2(X1,X2)))|~mem(X2,arr(X1,bool))|~ne(X1))).
% 0.12/0.38  cnf(i_0_23, plain, (mem(c_2Emin_2E_3D(X1),arr(X1,arr(X1,bool)))|~ne(X1))).
% 0.12/0.38  cnf(i_0_18, plain, (mem(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),arr(ty_2Ebinary__ieee_2Efloat(X1,X2),ty_2Erealax_2Ereal))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_20, plain, (mem(c_2Ebinary__ieee_2Eulp(X1,X2),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)),ty_2Erealax_2Ereal))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_24, plain, (p(ap(ap(c_2Emin_2E_3D(X1),X2),X2))|~mem(X2,X1)|~ne(X1))).
% 0.12/0.38  cnf(i_0_28, plain, (p(ap(c_2Ebool_2E_21(X1),X2))|mem(esk2_2(X1,X2),X1)|~mem(X2,arr(X1,bool))|~ne(X1))).
% 0.12/0.38  cnf(i_0_14, plain, (mem(c_2Ebinary__ieee_2Efloat__negate(X1,X2),arr(ty_2Ebinary__ieee_2Efloat(X1,X2),ty_2Ebinary__ieee_2Efloat(X1,X2)))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_29, plain, (p(ap(X1,X2))|~p(ap(c_2Ebool_2E_21(X3),X1))|~mem(X1,arr(X3,bool))|~mem(X2,X3)|~ne(X3))).
% 0.12/0.38  cnf(i_0_8, plain, (X1=X2|mem(esk1_4(X3,X4,X1,X2),X3)|~mem(X2,arr(X3,X4))|~mem(X1,arr(X3,X4)))).
% 0.12/0.38  cnf(i_0_7, plain, (X1=X2|ap(X1,esk1_4(X3,X4,X1,X2))!=ap(X2,esk1_4(X3,X4,X1,X2))|~mem(X2,arr(X3,X4))|~mem(X1,arr(X3,X4)))).
% 0.12/0.38  cnf(i_0_17, plain, (mem(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)),ty_2Ebinary__ieee_2Efloat(X1,X2)))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_31, plain, (ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2))))=ap(c_2Ebinary__ieee_2Eulp(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2)))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_30, plain, (ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X2),X3))=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X3))|~mem(X3,ty_2Ebinary__ieee_2Efloat(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.38  # Begin printing tableau
% 0.12/0.38  # Found 5 steps
% 0.12/0.38  cnf(i_0_36, negated_conjecture, (ne(esk3_0)), inference(start_rule)).
% 0.12/0.38  cnf(i_0_40, plain, (ne(esk3_0)), inference(extension_rule, [i_0_16])).
% 0.12/0.38  cnf(i_0_205, plain, (ne(ty_2Ebool_2Eitself(esk3_0))), inference(extension_rule, [i_0_3])).
% 0.12/0.38  cnf(i_0_209, plain, (~ne(bool)), inference(closure_rule, [i_0_1])).
% 0.12/0.38  cnf(i_0_207, plain, (ne(arr(bool,ty_2Ebool_2Eitself(esk3_0)))), inference(etableau_closure_rule, [i_0_207, ...])).
% 0.12/0.38  # End printing tableau
% 0.12/0.38  # SZS output end
% 0.12/0.38  # Branches closed with saturation will be marked with an "s"
% 0.12/0.38  # There were 1 total branch saturation attempts.
% 0.12/0.38  # There were 0 of these attempts blocked.
% 0.12/0.38  # There were 0 deferred branch saturation attempts.
% 0.12/0.38  # There were 0 free duplicated saturations.
% 0.12/0.38  # There were 1 total successful branch saturations.
% 0.12/0.38  # There were 0 successful branch saturations in interreduction.
% 0.12/0.38  # There were 0 successful branch saturations on the branch.
% 0.12/0.38  # There were 1 successful branch saturations after the branch.
% 0.12/0.38  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  # Begin clausification derivation
% 0.12/0.38  
% 0.12/0.38  # End clausification derivation
% 0.12/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.38  cnf(i_0_36, negated_conjecture, (ne(esk3_0))).
% 0.12/0.38  cnf(i_0_35, negated_conjecture, (ne(esk4_0))).
% 0.12/0.38  cnf(i_0_1, plain, (ne(bool))).
% 0.12/0.38  cnf(i_0_2, plain, (ne(ind))).
% 0.12/0.38  cnf(i_0_11, plain, (ne(ty_2Erealax_2Ereal))).
% 0.12/0.38  cnf(i_0_22, plain, (p(c_2Ebool_2ET))).
% 0.12/0.38  cnf(i_0_21, plain, (mem(c_2Ebool_2ET,bool))).
% 0.12/0.38  cnf(i_0_12, plain, (mem(c_2Erealax_2Ereal__neg,arr(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)))).
% 0.12/0.38  cnf(i_0_34, negated_conjecture, (ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))!=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))).
% 0.12/0.38  cnf(i_0_16, plain, (ne(ty_2Ebool_2Eitself(X1))|~ne(X1))).
% 0.12/0.38  cnf(i_0_3, plain, (ne(arr(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_13, plain, (ne(ty_2Ebinary__ieee_2Efloat(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_15, plain, (ne(ty_2Epair_2Eprod(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_19, plain, (mem(c_2Ebool_2Ethe__value(X1),ty_2Ebool_2Eitself(X1))|~ne(X1))).
% 0.12/0.38  cnf(i_0_10, plain, (ap(i(X1),X2)=X2|~mem(X2,X1))).
% 0.12/0.38  cnf(i_0_9, plain, (ap(k(X1,X2),X3)=X2|~mem(X3,X1))).
% 0.12/0.38  cnf(i_0_5, plain, (X1=X2|p(X1)|p(X2)|~mem(X2,bool)|~mem(X1,bool))).
% 0.12/0.38  cnf(i_0_26, plain, (mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))|~ne(X1))).
% 0.12/0.38  cnf(i_0_6, plain, (X1=X2|~p(X2)|~p(X1)|~mem(X2,bool)|~mem(X1,bool))).
% 0.12/0.38  cnf(i_0_25, plain, (X1=X2|~p(ap(ap(c_2Emin_2E_3D(X3),X1),X2))|~mem(X2,X3)|~mem(X1,X3)|~ne(X3))).
% 0.12/0.38  cnf(i_0_4, plain, (mem(ap(X1,X2),X3)|~mem(X1,arr(X4,X3))|~mem(X2,X4))).
% 0.12/0.38  cnf(i_0_27, plain, (p(ap(c_2Ebool_2E_21(X1),X2))|~p(ap(X2,esk2_2(X1,X2)))|~mem(X2,arr(X1,bool))|~ne(X1))).
% 0.12/0.38  cnf(i_0_23, plain, (mem(c_2Emin_2E_3D(X1),arr(X1,arr(X1,bool)))|~ne(X1))).
% 0.12/0.38  cnf(i_0_18, plain, (mem(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),arr(ty_2Ebinary__ieee_2Efloat(X1,X2),ty_2Erealax_2Ereal))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_20, plain, (mem(c_2Ebinary__ieee_2Eulp(X1,X2),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)),ty_2Erealax_2Ereal))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_24, plain, (p(ap(ap(c_2Emin_2E_3D(X1),X2),X2))|~mem(X2,X1)|~ne(X1))).
% 0.12/0.38  cnf(i_0_28, plain, (p(ap(c_2Ebool_2E_21(X1),X2))|mem(esk2_2(X1,X2),X1)|~mem(X2,arr(X1,bool))|~ne(X1))).
% 0.12/0.38  cnf(i_0_14, plain, (mem(c_2Ebinary__ieee_2Efloat__negate(X1,X2),arr(ty_2Ebinary__ieee_2Efloat(X1,X2),ty_2Ebinary__ieee_2Efloat(X1,X2)))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_29, plain, (p(ap(X1,X2))|~p(ap(c_2Ebool_2E_21(X3),X1))|~mem(X1,arr(X3,bool))|~mem(X2,X3)|~ne(X3))).
% 0.12/0.38  cnf(i_0_8, plain, (X1=X2|mem(esk1_4(X3,X4,X1,X2),X3)|~mem(X2,arr(X3,X4))|~mem(X1,arr(X3,X4)))).
% 0.12/0.38  cnf(i_0_7, plain, (X1=X2|ap(X1,esk1_4(X3,X4,X1,X2))!=ap(X2,esk1_4(X3,X4,X1,X2))|~mem(X2,arr(X3,X4))|~mem(X1,arr(X3,X4)))).
% 0.12/0.38  cnf(i_0_17, plain, (mem(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)),ty_2Ebinary__ieee_2Efloat(X1,X2)))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_31, plain, (ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2))))=ap(c_2Ebinary__ieee_2Eulp(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2)))|~ne(X2)|~ne(X1))).
% 0.12/0.38  cnf(i_0_30, plain, (ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X2),X3))=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X3))|~mem(X3,ty_2Ebinary__ieee_2Efloat(X1,X2))|~ne(X2)|~ne(X1))).
% 0.12/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.38  # Begin printing tableau
% 0.12/0.38  # Found 5 steps
% 0.12/0.38  cnf(i_0_35, negated_conjecture, (ne(esk4_0)), inference(start_rule)).
% 0.12/0.38  cnf(i_0_39, plain, (ne(esk4_0)), inference(extension_rule, [i_0_14])).
% 0.12/0.38  cnf(i_0_181, plain, (~ne(bool)), inference(closure_rule, [i_0_1])).
% 0.12/0.38  cnf(i_0_179, plain, (mem(c_2Ebinary__ieee_2Efloat__negate(bool,esk4_# Child (14508) has found a proof.
% 0.12/0.38  
% 0.12/0.38  0),arr(ty_2Ebinary__ieee_2Efloat(bool,esk4_0),ty_2Ebinary__ieee_2Efloat(bool,esk4_0)))), inference(extension_rule, [i_0_10])).
% 0.12/0.38  cnf(i_0_300, plain, (ap(i(arr(ty_2Ebinary__ieee_2Efloat(bool,esk4_0),ty_2Ebinary__ieee_2Efloat(bool,esk4_0))),c_2Ebinary__ieee_2Efloat__negate(bool,esk4_0))=c_2Ebinary__ieee_2Efloat__negate(bool,esk4_0)), inference(etableau_closure_rule, [i_0_300, ...])).
% 0.12/0.38  # End printing tableau
% 0.12/0.38  # SZS output end
% 0.12/0.38  # Branches closed with saturation will be marked with an "s"
% 0.12/0.38  # Proof search is over...
% 0.12/0.38  # Freeing feature tree
%------------------------------------------------------------------------------