TSTP Solution File: SWV864-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n020.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 : Wed Jul 20 18:23:45 EDT 2022

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n020.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 : Wed Jun 15 10:24:19 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_B07_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: 27 Number of unprocessed: 24
% 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  # 24 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 4 conjectures.
% 0.12/0.37  # There are 4 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  # 4 start rule tableaux created.
% 0.12/0.37  # 16 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 4
% 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
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_55, negated_conjecture, (c_Hoare__Mirabelle_Ostate__not__singleton)).
% 0.12/0.37  cnf(i_0_45, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 0.12/0.37  cnf(i_0_40, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.12/0.37  cnf(i_0_56, negated_conjecture, (~c_Natural_Oevalc(v_c,v_x,v_xa))).
% 0.12/0.37  cnf(i_0_47, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)).
% 0.12/0.37  cnf(i_0_51, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)).
% 0.12/0.37  cnf(i_0_49, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1)!=X1)).
% 0.12/0.37  cnf(i_0_43, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(X1,X2))).
% 0.12/0.37  cnf(i_0_58, negated_conjecture, (X1=v_xa|v_xb(X1)!=X1)).
% 0.12/0.37  cnf(i_0_52, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 0.12/0.37  cnf(i_0_31, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.12/0.37  cnf(i_0_57, negated_conjecture, (X1=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(X1)))).
% 0.12/0.37  cnf(i_0_36, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 0.12/0.37  cnf(i_0_37, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 0.12/0.37  cnf(i_0_44, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 0.12/0.37  cnf(i_0_53, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.12/0.37  cnf(i_0_35, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_42, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_33, plain, (c_Natural_Oevalc(X1,X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X3,X2,X4))|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X3),X2,X4))).
% 0.12/0.37  cnf(i_0_32, plain, (c_Natural_Oevalc(X1,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X2,X1,X3,X4),X4)|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X2,X1),X3,X4))).
% 0.12/0.37  cnf(i_0_50, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 0.12/0.37  cnf(i_0_39, plain, (c_Natural_Oevaln(X1,X2,X3,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X4,X3,X2,X5))|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X4),X2,X3,X5))).
% 0.12/0.37  cnf(i_0_38, plain, (c_Natural_Oevaln(X1,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X2,X1,X3,X4,X5),X3,X5)|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X2,X1),X4,X3,X5))).
% 0.12/0.37  cnf(i_0_34, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 7 steps
% 0.12/0.37  cnf(i_0_57, negated_conjecture, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(start_rule)).
% 0.12/0.37  cnf(i_0_59, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa), inference(closure_rule, [i_0_49])).
% 0.12/0.37  cnf(i_0_60, plain, (c_Natural_Oevalc(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(extension_rule, [i_0_50])).
% 0.12/0.37  cnf(i_0_88, plain, (~c_Natural_Oevalc(c_Com_Ocom_OSKIP,v_x,v_x)), inference(closure_rule, [i_0_45])).
% 0.12/0.37  cnf(i_0_86, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,v_c),v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(extension_rule, [i_0_44])).
% 0.12/0.37  cnf(i_0_226, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))=v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))), inference(closure_rule, [i_0_49])).
% 0.12/0.37  cnf(i_0_228, plain, (~c_Natural_Oevalc(c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,v_c),v_x,v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))))), inference(etableau_closure_rule, [i_0_228, ...]))# SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_55, negated_conjecture, (c_Hoare__Mirabelle_Ostate__not__singleton)).
% 0.12/0.37  cnf(i_0_45, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 0.12/0.37  cnf(i_0_40, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.12/0.37  cnf(i_0_56, negated_conjecture, (~c_Natural_Oevalc(v_c,v_x,v_xa))).
% 0.12/0.37  cnf(i_0_47, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)).
% 0.12/0.37  cnf(i_0_51, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)).
% 0.12/0.37  cnf(i_0_49, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1)!=X1)).
% 0.12/0.37  cnf(i_0_43, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(X1,X2))).
% 0.12/0.37  cnf(i_0_58, negated_conjecture, (X1=v_xa|v_xb(X1)!=X1)).
% 0.12/0.37  cnf(i_0_52, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 0.12/0.37  cnf(i_0_31, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.12/0.37  cnf(i_0_57, negated_conjecture, (X1=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(X1)))).
% 0.12/0.37  cnf(i_0_36, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 0.12/0.37  cnf(i_0_37, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 0.12/0.37  cnf(i_0_44, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 0.12/0.37  cnf(i_0_53, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.12/0.37  cnf(i_0_35, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_42, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_33, plain, (c_Natural_Oevalc(X1,X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X3,X2,X4))|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X3),X2,X4))).
% 0.12/0.37  cnf(i_0_32, plain, (c_Natural_Oevalc(X1,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X2,X1,X3,X4),X4)|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X2,X1),X3,X4))).
% 0.12/0.37  cnf(i_0_50, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 0.12/0.37  cnf(i_0_39, plain, (c_Natural_Oevaln(X1,X2,X3,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X4,X3,X2,X5))|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X4),X2,X3,X5))).
% 0.12/0.37  cnf(i_0_38, plain, (c_Natural_Oevaln(X1,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X2,X1,X3,X4,X5),X3,X5)|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X2,X1),X4,X3,X5))).
% 0.12/0.37  cnf(i_0_34, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 6 steps
% 0.12/0.37  cnf(i_0_57, negated_conjecture, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(start_rule)).
% 0.12/0.37  cnf(i_0_59, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa), inference(closure_rule, [i_0_49])).
% 0.12/0.37  cnf(i_0_60, plain, (c_Natural_Oevalc(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(extension_rule, [i_0_42])).
% 0.12/0.37  cnf(i_0_80, plain, (c_Natural_Oevaln(v_c,v_x,c_Natural_Osko__Natural__Xevalc__evaln__1__1(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))),v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(extension_rule, [i_0_34])).
% 0.12/0.37  cnf(i_0_200, plain, (~c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_x,c_Natural_Osko__Natural__Xevalc__evaln__1__1(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))),v_x)), inference(closure_rule, [i_0_40])).
% 0.12/0.37  cnf(i_0_198, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,v_c),v_x,c_Natural_Osko__Natural__Xevalc__evaln__1__1(v_c,v_x,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))),v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(etabl.
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  eau_closure_rule, [i_0_198, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_55, negated_conjecture, (c_Hoare__Mirabelle_Ostate__not__singleton)).
% 0.12/0.37  cnf(i_0_45, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 0.12/0.37  cnf(i_0_40, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.12/0.37  cnf(i_0_56, negated_conjecture, (~c_Natural_Oevalc(v_c,v_x,v_xa))).
% 0.12/0.37  cnf(i_0_47, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)).
% 0.12/0.37  cnf(i_0_51, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)).
% 0.12/0.37  cnf(i_0_49, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1)!=X1)).
% 0.12/0.37  cnf(i_0_43, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(X1,X2))).
% 0.12/0.37  cnf(i_0_58, negated_conjecture, (X1=v_xa|v_xb(X1)!=X1)).
% 0.12/0.37  cnf(i_0_52, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 0.12/0.37  cnf(i_0_31, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.12/0.37  cnf(i_0_57, negated_conjecture, (X1=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(X1)))).
% 0.12/0.37  cnf(i_0_36, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 0.12/0.37  cnf(i_0_37, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 0.12/0.37  cnf(i_0_44, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 0.12/0.37  cnf(i_0_53, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.12/0.37  cnf(i_0_35, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_42, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_33, plain, (c_Natural_Oevalc(X1,X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X3,X2,X4))|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X3),X2,X4))).
% 0.12/0.37  cnf(i_0_32, plain, (c_Natural_Oevalc(X1,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X2,X1,X3,X4),X4)|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X2,X1),X3,X4))).
% 0.12/0.37  cnf(i_0_50, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 0.12/0.37  cnf(i_0_39, plain, (c_Natural_Oevaln(X1,X2,X3,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X4,X3,X2,X5))|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X4),X2,X3,X5))).
% 0.12/0.37  cnf(i_0_38, plain, (c_Natural_Oevaln(X1,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X2,X1,X3,X4,X5),X3,X5)|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X2,X1),X4,X3,X5))).
% 0.12/0.37  cnf(i_0_34, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 5 steps
% 0.12/0.37  cnf(i_0_58, negated_conjecture, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa|v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))!=v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)), inference(start_rule)).
% 0.12/0.37  cnf(i_0_61, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa), inference(closure_rule, [i_0_49])).
% 0.12/0.37  cnf(i_0_62, plain, (v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))!=v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)), inference(extension_rule, [i_0_37])).
% 0.12/0.37  cnf(i_0_107, plain, (c_Com_Ocom_OSemi(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)),X5)!=c_Com_Ocom_OSemi(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),X6)), inference(extension_rule, [i_0_52])).
% 0.12/0.37  cnf(i_0_136, plain, (~c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Com_Ocom_OSemi(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),X6),c_Com_Ocom_OSemi(v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)),X5))), inference(etableau_closure_rule, [i_0_136, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 1 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 1 successful branch saturations after the branch.
% 0.12/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_55, negated_conjecture, (c_Hoare__Mirabelle_Ostate__not__singleton)).
% 0.12/0.37  cnf(i_0_45, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 0.12/0.37  cnf(i_0_40, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.12/0.37  cnf(i_0_56, negated_conjecture, (~c_Natural_Oevalc(v_c,v_x,v_xa))).
% 0.12/0.37  cnf(i_0_47, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)).
% 0.12/0.37  cnf(i_0_51, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)).
% 0.12/0.37  cnf(i_0_49, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1)!=X1)).
% 0.12/0.37  cnf(i_0_43, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(X1,X2))).
% 0.12/0.37  cnf(i_0_58, negated_conjecture, (X1=v_xa|v_xb(X1)!=X1)).
% 0.12/0.37  cnf(i_0_52, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 0.12/0.37  cnf(i_0_31, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.12/0.37  cnf(i_0_57, negated_conjecture, (X1=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(X1)))).
% 0.12/0.37  cnf(i_0_36, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 0.12/0.37  cnf(i_0_37, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 0.12/0.37  cnf(i_0_44, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 0.12/0.37  cnf(i_0_53, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.12/0.37  cnf(i_0_35, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_42, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.37  cnf(i_0_33, plain, (c_Natural_Oevalc(X1,X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X3,X2,X4))|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X3),X2,X4))).
% 0.12/0.37  cnf(i_0_32, plain, (c_Natural_Oevalc(X1,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X2,X1,X3,X4),X4)|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X2,X1),X3,X4))).
% 0.12/0.37  cnf(i_0_50, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 0.12/0.37  cnf(i_0_39, plain, (c_Natural_Oevaln(X1,X2,X3,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X4,X3,X2,X5))|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X4),X2,X3,X5))).
% 0.12/0.37  cnf(i_0_38, plain, (c_Natural_Oevaln(X1,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X2,X1,X3,X4,X5),X3,X5)|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X2,X1),X4,X3,X5))).
% 0.12/0.37  cnf(i_0_34, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 5 steps
% 0.12/0.37  cnf(i_0_58, negated_conjecture, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa|v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))!=v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)), inference(start_rule)).
% 0.12/0.37  cnf(i_0_61, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa), inference(closure_rule, [i_0_49])).
% 0.12/0.37  cnf(i_0_62, plain, (v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))!=v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)), inference(extension_rule, [i_0_36])).
% 0.12/0.37  cnf(i_0_105, plain, (c_Com_Ocom_OSemi(X5,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))!=c_Com_Ocom_OSemi(X6,v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))), inference(extension_rule, [i_0_52])).
% 0.12/0.37  cnf(i_0_136, plain, (~c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_Com_Ocom_OSemi(X6,v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)),c_Com_Ocom_OSemi(X5,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))))), inference(etableau_closure_rule, [i_0_136, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.38  # SZS status Unsatisfiable 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_55, negated_conjecture, (c_Hoare__Mirabelle_Ostate__not__singleton)).
% 0.12/0.38  cnf(i_0_45, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 0.12/0.38  cnf(i_0_40, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.12/0.38  cnf(i_0_56, negated_conjecture, (~c_Natural_Oevalc(v_c,v_x,v_xa))).
% 0.12/0.38  cnf(i_0_47, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)).
% 0.12/0.38  cnf(i_0_51, plain, (v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1!=v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)).
% 0.12/0.38  cnf(i_0_49, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1)!=X1)).
% 0.12/0.38  cnf(i_0_43, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(X1,X2))).
% 0.12/0.38  cnf(i_0_58, negated_conjecture, (X1=v_xa|v_xb(X1)!=X1)).
% 0.12/0.38  cnf(i_0_52, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 0.12/0.38  cnf(i_0_31, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.12/0.38  cnf(i_0_57, negated_conjecture, (X1=v_xa|c_Natural_Oevalc(v_c,v_x,v_xb(X1)))).
% 0.12/0.38  cnf(i_0_36, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 0.12/0.38  cnf(i_0_37, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 0.12/0.38  cnf(i_0_44, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 0.12/0.38  cnf(i_0_53, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.12/0.38  cnf(i_0_35, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.38  cnf(i_0_42, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)|~c_Natural_Oevalc(X1,X2,X3))).
% 0.12/0.38  cnf(i_0_33, plain, (c_Natural_Oevalc(X1,X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X3,X2,X4))|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X3),X2,X4))).
% 0.12/0.38  cnf(i_0_32, plain, (c_Natural_Oevalc(X1,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X2,X1,X3,X4),X4)|~c_Natural_Oevalc(c_Com_Ocom_OSemi(X2,X1),X3,X4))).
% 0.12/0.38  cnf(i_0_50, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 0.12/0.38  cnf(i_0_39, plain, (c_Natural_Oevaln(X1,X2,X3,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X4,X3,X2,X5))|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X4),X2,X3,X5))).
% 0.12/0.38  cnf(i_0_38, plain, (c_Natural_Oevaln(X1,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X2,X1,X3,X4,X5),X3,X5)|~c_Natural_Oevaln(c_Com_Ocom_OSemi(X2,X1),X4,X3,X5))).
% 0.12/0.38  cnf(i_0_34, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))).
% 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 6 steps
% 0.12/0.38  cnf(i_0_58, negated_conjecture, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa|v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))!=v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)), inference(start_rule)).
% 0.12/0.38  cnf(i_0_61, plain, (v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)=v_xa), inference(closure_rule, [i_0_49])).
% 0.12/0.38  cnf(i_0_62, plain, (v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))!=v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)), inference(extension_rule, [i_0_44])).
% 0.12/0.38  cnf(i_0_109, plain, (~c_Natural_Oevalc(c_Com_Ocom_OSKIP,v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa))), inference(closure_rule, [i_0_45])).
% 0.12/0.38  cnf(i_0_110, plain, (~c_Natural_Oevalc(c_Com_Ocom_OSKIP,v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(extension_rule, [i_0_53])).
% 0.12/0.38  cnf(i_0_147, plain, (~c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa),X8,v_xb(v_sko__Hoare__Mirabelle__Xsingle__stateE__1(v_xa)))), inference(etableau_closure_rule, [i_0_147, ...])).
% 0.12/0.38  # End printing tableau
% 0.12/0.38  # SZS output end
% 0.12/0.38  # Branches closed with # Child (23282) has found a proof.
% 0.12/0.38  saturation will be marked with an "s"
% 0.12/0.38  
% 0.12/0.38  # Proof search is over...
% 0.12/0.38  # Freeing feature tree
%------------------------------------------------------------------------------