TSTP Solution File: LAT281-2 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LAT281-2 : 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 : n004.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 : Sun Jul 17 04:50:06 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
% 0.11/0.12 % Problem : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % 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 : n004.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 : Wed Jun 29 06:37:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 # No SInE strategy applied
% 0.12/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36 #
% 0.12/0.36 # Presaturation interreduction done
% 0.12/0.36 # Number of axioms: 7 Number of unprocessed: 7
% 0.12/0.36 # Tableaux proof search.
% 0.12/0.36 # APR header successfully linked.
% 0.12/0.36 # Hello from C++
% 0.12/0.36 # The folding up rule is enabled...
% 0.12/0.36 # Local unification is enabled...
% 0.12/0.36 # Any saturation attempts will use folding labels...
% 0.12/0.36 # 7 beginning clauses after preprocessing and clausification
% 0.12/0.36 # Creating start rules for all 3 conjectures.
% 0.12/0.36 # There are 3 start rule candidates:
% 0.12/0.36 # Found 5 unit axioms.
% 0.12/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36 # 3 start rule tableaux created.
% 0.12/0.36 # 2 extension rule candidate clauses
% 0.12/0.36 # 5 unit axiom clauses
% 0.12/0.36
% 0.12/0.36 # Requested 8, 32 cores available to the main process.
% 0.12/0.36 # There are not enough tableaux to fork, creating more from the initial 3
% 0.12/0.36 # Creating equality axioms
% 0.12/0.36 # Ran out of tableaux, making start rules for all clauses
% 0.12/0.36 # Returning from population with 25 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36 # We now have 25 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 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 # SZS output start for /export/starexec/sandbox2/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_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.12/0.37 cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_10, negated_conjecture, (~c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_12, plain, (c_Relation_Otrans(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_11, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Otrans(X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 0.12/0.37 cnf(i_0_90, plain, (X6=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 9 steps
% 0.12/0.37 cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(start_rule)).
% 0.12/0.37 cnf(i_0_100, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(extension_rule, [i_0_99])).
% 0.12/0.37 cnf(i_0_146, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_147, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_145, plain, (c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))=c_Tarski_Opotype_Oorder(v_r,v_r,v_r)), inference(extension_rule, [i_0_94])).
% 0.12/0.37 cnf(i_0_321, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_322, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_323, plain, (c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))!=c_Tarski_Opotype_Oorder(v_r,v_r,v_r)), inference(closure_rule, [i_0_145])).
% 0.12/0.37 cnf(i_0_319, plain, (c_Pair(c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)))=c_Pair(c_Tarski_Opotype_Oorder(v_r,v_r,v_r),v_r,v_r,c_Tarski_Opotype_Oorder(v_r,v_r,v_r))), inference(etableau_closure_rule, [i_0_319, ...])).
% 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 # SZS output start for /export/starexec/sandbox2/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_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.12/0.37 cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_10, negated_conjecture, (~c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_12, plain, (c_Relation_Otrans(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_11, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Otrans(X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 0.12/0.37 cnf(i_0_90, plain, (X6=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 9 steps
% 0.12/0.37 cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(start_rule)).
% 0.12/0.37 cnf(i_0_100, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(extension_rule, [i_0_99])).
% 0.12/0.37 cnf(i_0_147, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_148, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_145, plain, (c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))=c_Tarski_Opotype_Oorder(v_r,v_r,v_r)), inference(extension_rule, [i_0_94])).
% 0.12/0.37 cnf(i_0_321, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_322, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_323, plain, (c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))!=c_Tarski_Opotype_Oorder(v_r,v_r,v_r)), inference(closure_rule, [i_0_145])).
% 0.12/0.37 cnf(i_0_319, plain, (c_Pair(c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)))=c_Pair(c_Tarski_Opotype_Oorder(v_r,v_r,v_r),v_r,v_r,c_Tarski_Opotype_Oorder(v_r,v_r,v_r))), inference(etableau_closure_rule, [i_0_319, ...])).
% 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 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 # SZS output start for /export/starexec/sandbox2/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_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.12/0.37 cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_10, negated_conjecture, (~c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_12, plain, (c_Relation_Otrans(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_11, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Otrans(X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 0.12/0.37 cnf(i_0_90, plain, (X6=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 8 steps
% 0.12/0.37 cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(start_rule)).
% 0.12/0.37 cnf(i_0_100, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(extension_rule, [i_0_98])).
% 0.12/0.37 cnf(i_0_143, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_142, plain, (tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))=tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r)), inference(extension_rule, [i_0_94])).
% 0.12/0.37 cnf(i_0_318, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_319, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_320, plain, (tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))!=tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r)), inference(closure_rule, [i_0_142])).
% 0.12/0.37 cnf(i_0_316, plain, (c_Pair(tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)))=c_Pair(tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r),v_r,v_r,tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r))), inference(etableau_closure_rule, [i_0_316, ...])).
% 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 # SZS output start for /export/starexec/sandbox2/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_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.12/0.37 cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_10, negated_conjecture, (~c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.12/0.37 cnf(i_0_12, plain, (c_Relation_Otrans(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.12/0.37 cnf(i_0_11, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Otrans(X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 0.12/0.37 cnf(i_0_90, plain, (X6=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 8 steps
% 0.12/0.37 cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(start_rule)).
% 0.12/0.37 cnf(i_0_100, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r), inference(extension_rule, [i_0_98])).
% 0.12/0.37 cnf(i_0_144, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_142, plain, (tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))=tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r)), inference(extension_rule, [i_0_94])).
% 0.12/0.37 cnf(i_0_318, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_319, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.12/0.37 cnf(i_0_320, plain, (tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit))!=tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r)), inference(closure_rule, [i_0_142])).
% 0.12/0.37 cnf(i_0_316, plain, (c_Pair(tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_Tarski_Opotype_Opotype__ext__type(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)))=c_Pair(tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r),v_r,v_r,tc_Tarski_Opotype_Opotype__ext__type(v_r,v_r))), inference(etableau_closure_rule, [i_0_316, ...])).
% 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 # Child (27774) has found a proof.
% 0.12/0.37
% 0.12/0.37 # Proof search is over...
% 0.12/0.37 # Freeing feature tree
%------------------------------------------------------------------------------