TSTP Solution File: SET854-2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET854-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 01:03:19 EDT 2022

% Result   : Unsatisfiable 35.34s 4.83s
% Output   : CNFRefutation 35.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET854-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n019.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 : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 17:30:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.38  #
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  # Number of axioms: 18 Number of unprocessed: 18
% 0.13/0.38  # Tableaux proof search.
% 0.13/0.38  # APR header successfully linked.
% 0.13/0.38  # Hello from C++
% 0.13/0.38  # The folding up rule is enabled...
% 0.13/0.38  # Local unification is enabled...
% 0.13/0.38  # Any saturation attempts will use folding labels...
% 0.13/0.38  # 18 beginning clauses after preprocessing and clausification
% 0.13/0.38  # Creating start rules for all 6 conjectures.
% 0.13/0.38  # There are 6 start rule candidates:
% 0.13/0.38  # Found 6 unit axioms.
% 0.13/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.38  # 6 start rule tableaux created.
% 0.13/0.38  # 12 extension rule candidate clauses
% 0.13/0.38  # 6 unit axiom clauses
% 0.13/0.38  
% 0.13/0.38  # Requested 8, 32 cores available to the main process.
% 0.13/0.38  # There are not enough tableaux to fork, creating more from the initial 6
% 0.13/0.38  # Returning from population with 19 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.38  # We now have 19 tableaux to operate on
% 35.34/4.83  # There were 5 total branch saturation attempts.
% 35.34/4.83  # There were 0 of these attempts blocked.
% 35.34/4.83  # There were 0 deferred branch saturation attempts.
% 35.34/4.83  # There were 0 free duplicated saturations.
% 35.34/4.83  # There were 4 total successful branch saturations.
% 35.34/4.83  # There were 0 successful branch saturations in interreduction.
% 35.34/4.83  # There were 0 successful branch saturations on the branch.
% 35.34/4.83  # There were 4 successful branch saturations after the branch.
% 35.34/4.83  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.34/4.83  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.34/4.83  # Begin clausification derivation
% 35.34/4.83  
% 35.34/4.83  # End clausification derivation
% 35.34/4.83  # Begin listing active clauses obtained from FOF to CNF conversion
% 35.34/4.83  cnf(i_0_32, negated_conjecture, (c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))))).
% 35.34/4.83  cnf(i_0_33, negated_conjecture, (c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))))).
% 35.34/4.83  cnf(i_0_31, negated_conjecture, (c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))))).
% 35.34/4.83  cnf(i_0_23, plain, (c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))))).
% 35.34/4.83  cnf(i_0_34, negated_conjecture, (c_Union(v_Y,tc_set(t_a))!=v_x)).
% 35.34/4.83  cnf(i_0_35, negated_conjecture, (~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))))).
% 35.34/4.83  cnf(i_0_21, plain, (c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)|c_lessequals(X1,X2,tc_set(X3)))).
% 35.34/4.83  cnf(i_0_19, plain, (X1=X2|~c_lessequals(X2,X1,tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 35.34/4.83  cnf(i_0_22, plain, (c_lessequals(X1,X2,tc_set(X3))|~c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3))).
% 35.34/4.83  cnf(i_0_20, plain, (c_in(X1,X2,X3)|~c_in(X1,X4,X3)|~c_lessequals(X4,X2,tc_set(X3)))).
% 35.34/4.83  cnf(i_0_30, plain, (c_lessequals(c_Union(X1,X2),X3,tc_set(X2))|c_lessequals(X4,c_Union(X1,X2),tc_set(X2))|~c_lessequals(X4,c_Zorn_OUnion__lemma0__1(X3,X4,X1,X2),tc_set(X2)))).
% 35.34/4.83  cnf(i_0_36, negated_conjecture, (X1=X2|c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),X2,tc_set(tc_set(t_a)))|~c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(X2,v_Y,tc_set(tc_set(t_a)))|~c_lessequals(X1,X2,tc_set(tc_set(t_a))))).
% 35.34/4.83  cnf(i_0_29, plain, (c_lessequals(c_Union(X1,X2),X3,tc_set(X2))|c_lessequals(X4,c_Union(X1,X2),tc_set(X2))|~c_lessequals(c_Zorn_OUnion__lemma0__1(X3,X4,X1,X2),X3,tc_set(X2)))).
% 35.34/4.83  cnf(i_0_28, plain, (c_in(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X3,tc_set(X4))|c_lessequals(c_Union(X3,X4),X1,tc_set(X4))|c_lessequals(X2,c_Union(X3,X4),tc_set(X4)))).
% 35.34/4.83  cnf(i_0_26, plain, (c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))|c_lessequals(X4,X2,tc_set(tc_set(X3)))|c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3)!=X2|~c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))|~c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))))).
% 35.34/4.83  cnf(i_0_27, plain, (c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))|c_lessequals(X4,X2,tc_set(tc_set(X3)))|~c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))|~c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))|~c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3))))).
% 35.34/4.83  cnf(i_0_25, plain, (c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))|c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))|c_lessequals(X4,X2,tc_set(tc_set(X3)))|~c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))|~c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))))).
% 35.34/4.83  cnf(i_0_24, plain, (c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))|c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))|c_lessequals(X4,X2,tc_set(tc_set(X3)))|~c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))|~c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))))).
% 35.34/4.83  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 35.34/4.83  # Begin printing tableau
% 35.34/4.83  # Found 10 steps
% 35.34/4.83  cnf(i_0_31, negated_conjecture, (c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))), inference(start_rule)).
% 35.34/4.83  cnf(i_0_44, plain, (c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))), inference(extension_rule, [i_0_20])).
% 35.34/4.83  cnf(i_0_277, plain, (~c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))), inference(extension_rule, [i_0_28])).
% 35.34/4.83  cnf(i_0_87808, plain, (c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))), inference(closure_rule, [i_0_35])).
% 35.34/4.83  cnf(i_0_87807, plain, (c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a)))), inference(extension_rule, [i_0_36])).
% 35.34/4.83  cnf(i_0_87809, plain, (c_Union(v_Y,tc_set(t_a))=v_x), inference(closure_rule, [i_0_34])).
% 35.34/4.83  cnf(i_0_276, plain, (c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))), inference(etableau_closure_rule, [i_0_276, ...])).
% 35.34/4.83  cnf(i_0_87810, plain, (c_lessequals(c_Zorn_Osucc(v_S,c_Union(v_Y,tc_set(t_a)),t_a),v_x,tc_set(tc_set(t_a)))), inference(etableau_closure_rule, [i_0_87810, ...])).
% 35.34/4.83  cnf(i_0_87811, plain, (~c_in(c_Union(v_Y,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))), inference(etableau_closure_rule, [i_0_87811, ...])).
% 35.34/4.83  cnf(i_0_87812, plain, (~c_in(v_x,v_Y,tc_set(tc_set(t_a)))), inference(etableau_closure_rule, [i_0_87812, ...])).
% 35.34/4.83  # End printing tableau
% 35.34/4.83  # SZS output end
% 35.34/4.83  # Branches closed with saturation will be marked with an "s"
% 35.34/4.84  # Child (29337) has found a proof.
% 35.34/4.84  
% 35.34/4.84  # Proof search is over...
% 35.34/4.84  # Freeing feature tree
%------------------------------------------------------------------------------