TSTP Solution File: NUM009-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n009.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 : Mon Jul 18 09:38:18 EDT 2022
% Result : Unsatisfiable 1.74s 0.59s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % 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 : n009.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 : Thu Jul 7 12:03:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.37 # No SInE strategy applied
% 0.19/0.37 # Auto-Mode selected heuristic G_E___200_B02_F1_AE_CS_SP_PI_S2k
% 0.19/0.37 # and selection function SelectCQArNTEqFirst.
% 0.19/0.37 #
% 0.19/0.37 # Number of axioms: 214 Number of unprocessed: 214
% 0.19/0.37 # Tableaux proof search.
% 0.19/0.37 # APR header successfully linked.
% 0.19/0.37 # Hello from C++
% 0.19/0.37 # The folding up rule is enabled...
% 0.19/0.37 # Local unification is enabled...
% 0.19/0.37 # Any saturation attempts will use folding labels...
% 0.19/0.37 # 214 beginning clauses after preprocessing and clausification
% 0.19/0.37 # Creating start rules for all 1 conjectures.
% 0.19/0.37 # There are 1 start rule candidates:
% 0.19/0.37 # Found 6 unit axioms.
% 0.19/0.37 # 1 start rule tableaux created.
% 0.19/0.37 # 208 extension rule candidate clauses
% 0.19/0.37 # 6 unit axiom clauses
% 0.19/0.37
% 0.19/0.37 # Requested 8, 32 cores available to the main process.
% 0.19/0.37 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.37 # Returning from population with 31 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.37 # We now have 31 tableaux to operate on
% 1.74/0.59 # There were 4 total branch saturation attempts.
% 1.74/0.59 # There were 0 of these attempts blocked.
% 1.74/0.59 # There were 0 deferred branch saturation attempts.
% 1.74/0.59 # There were 0 free duplicated saturations.
% 1.74/0.59 # There were 4 total successful branch saturations.
% 1.74/0.59 # There were 0 successful branch saturations in interreduction.
% 1.74/0.59 # There were 0 successful branch saturations on the branch.
% 1.74/0.59 # There were 4 successful branch saturations after the branch.
% 1.74/0.59 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/0.59 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/0.59 # Begin clausification derivation
% 1.74/0.59
% 1.74/0.59 # End clausification derivation
% 1.74/0.59 # Begin listing active clauses obtained from FOF to CNF conversion
% 1.74/0.59 cnf(i_0_280, plain, (little_set(infinity))).
% 1.74/0.59 cnf(i_0_320, plain, (function(f25))).
% 1.74/0.59 cnf(i_0_281, plain, (member(empty_set,infinity))).
% 1.74/0.59 cnf(i_0_306, plain, (relation(X1)|~function(X1))).
% 1.74/0.59 cnf(i_0_307, plain, (single_valued_set(X1)|~function(X1))).
% 1.74/0.59 cnf(i_0_331, plain, (function(X1)|~one_to_one_function(X1))).
% 1.74/0.59 cnf(i_0_300, plain, (single_valued_set(X1)|little_set(f19(X1)))).
% 1.74/0.59 cnf(i_0_301, plain, (single_valued_set(X1)|little_set(f20(X1)))).
% 1.74/0.59 cnf(i_0_302, plain, (single_valued_set(X1)|little_set(f21(X1)))).
% 1.74/0.59 cnf(i_0_305, plain, (single_valued_set(X1)|f21(X1)!=f20(X1))).
% 1.74/0.59 cnf(i_0_231, plain, (little_set(f2(X1))|~ordered_pair_predicate(X1))).
% 1.74/0.59 cnf(i_0_232, plain, (little_set(f3(X1))|~ordered_pair_predicate(X1))).
% 1.74/0.59 cnf(i_0_286, plain, (little_set(sigma(X1))|~little_set(X1))).
% 1.74/0.59 cnf(i_0_295, plain, (little_set(powerset(X1))|~little_set(X1))).
% 1.74/0.59 cnf(i_0_332, plain, (function(converse(X1))|~one_to_one_function(X1))).
% 1.74/0.59 cnf(i_0_431, plain, (one_to_one_function(f58(X1))|~finite(X1))).
% 1.74/0.59 cnf(i_0_440, negated_conjecture, (~member(empty_set,natural_numbers))).
% 1.74/0.59 cnf(i_0_430, plain, (range_of(f58(X1))=X1|~finite(X1))).
% 1.74/0.59 cnf(i_0_308, plain, (function(X1)|~relation(X1)|~single_valued_set(X1))).
% 1.74/0.59 cnf(i_0_279, plain, (member(X1,universal_set)|~little_set(X1))).
% 1.74/0.59 cnf(i_0_278, plain, (~member(X1,empty_set))).
% 1.74/0.59 cnf(i_0_298, plain, (relation(X1)|~ordered_pair_predicate(f18(X1)))).
% 1.74/0.59 cnf(i_0_318, plain, (X1=empty_set|member(f24(X1),X1))).
% 1.74/0.59 cnf(i_0_319, plain, (X1=empty_set|disjoint(f24(X1),X1))).
% 1.74/0.59 cnf(i_0_421, plain, (X1!=empty_set|~member(X1,prime_numbers))).
% 1.74/0.59 cnf(i_0_245, plain, (ordered_pair_predicate(X1)|~member(X1,estin))).
% 1.74/0.59 cnf(i_0_327, plain, (ordered_pair_predicate(X1)|~member(X1,identity_relation))).
% 1.74/0.59 cnf(i_0_297, plain, (relation(X1)|member(f18(X1),X1))).
% 1.74/0.59 cnf(i_0_428, plain, (member(f57(X1),natural_numbers)|~finite(X1))).
% 1.74/0.59 cnf(i_0_291, plain, (X1!=X2|~proper_subset(X1,X2))).
% 1.74/0.59 cnf(i_0_345, plain, (little_set(X2)|~closed(X1,X2))).
% 1.74/0.59 cnf(i_0_221, plain, (little_set(X1)|~member(X1,X2))).
% 1.74/0.59 cnf(i_0_344, plain, (little_set(X1)|~closed(X1,X2))).
% 1.74/0.59 cnf(i_0_333, plain, (one_to_one_function(X1)|~function(X1)|~function(converse(X1)))).
% 1.74/0.59 cnf(i_0_328, plain, (first(X1)=second(X1)|~member(X1,identity_relation))).
% 1.74/0.59 cnf(i_0_321, plain, (X1=empty_set|member(f26(X1),X1)|~little_set(X1))).
% 1.74/0.59 cnf(i_0_228, plain, (little_set(non_ordered_pair(X1,X2)))).
% 1.74/0.59 cnf(i_0_388, plain, (little_set(f44(X1))|member(X1,natural_numbers)|~little_set(X1))).
% 1.74/0.59 cnf(i_0_402, plain, (little_set(f49(X1))|member(X1,plus)|~little_set(X1))).
% 1.74/0.59 cnf(i_0_416, plain, (little_set(f54(X1))|member(X1,times)|~little_set(X1))).
% 1.74/0.59 cnf(i_0_222, plain, (X1=X2|little_set(f1(X1,X2)))).
% 1.74/0.59 cnf(i_0_420, plain, (member(X1,natural_numbers)|~member(X1,prime_numbers))).
% 1.74/0.59 cnf(i_0_436, plain, (member(X1,natural_numbers)|~member(X1,even_numbers))).
% 1.74/0.59 cnf(i_0_433, plain, (member(X1,prime_numbers)|~member(X1,twin_prime_numbers))).
% 1.74/0.59 cnf(i_0_296, plain, (ordered_pair_predicate(X2)|~relation(X1)|~member(X2,X1))).
% 1.74/0.59 cnf(i_0_262, plain, (ordered_pair_predicate(X1)|~member(X1,converse(X2)))).
% 1.74/0.59 cnf(i_0_290, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 1.74/0.59 cnf(i_0_377, plain, (closed(X1,X2)|~group(X1,X2))).
% 1.74/0.59 cnf(i_0_378, plain, (associative(X1,X2)|~group(X1,X2))).
% 1.74/0.59 cnf(i_0_389, plain, (member(X1,natural_numbers)|member(empty_set,f44(X1))|~little_set(X1))).
% 1.74/0.59 cnf(i_0_437, plain, (member(f59(X1),natural_numbers)|~member(X1,even_numbers))).
% 1.74/0.59 cnf(i_0_292, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 1.74/0.59 cnf(i_0_329, plain, (member(X1,identity_relation)|first(X1)!=second(X1)|~little_set(X1)|~ordered_pair_predicate(X1))).
% 1.74/0.59 cnf(i_0_252, plain, (member(X1,X2)|member(X1,complement(X2))|~little_set(X1))).
% 1.74/0.59 cnf(i_0_314, plain, (little_set(image(X1,X2))|~little_set(X1)|~function(X2))).
% 1.74/0.59 cnf(i_0_391, plain, (member(X1,natural_numbers)|~member(X1,f44(X1)))).
% 1.74/0.59 cnf(i_0_405, plain, (member(X1,plus)|~member(X1,f49(X1)))).
% 1.74/0.59 cnf(i_0_419, plain, (member(X1,times)|~member(X1,f54(X1)))).
% 1.74/0.59 cnf(i_0_293, plain, (subset(X1,X2)|~member(X1,powerset(X2)))).
% 1.74/0.59 cnf(i_0_246, plain, (member(first(X1),second(X1))|~member(X1,estin))).
% 1.74/0.59 cnf(i_0_294, plain, (member(X1,powerset(X2))|~little_set(X1)|~subset(X1,X2))).
% 1.74/0.59 cnf(i_0_227, plain, (member(X1,non_ordered_pair(X2,X3))|X1!=X3|~little_set(X1))).
% 1.74/0.59 cnf(i_0_226, plain, (member(X1,non_ordered_pair(X2,X3))|X1!=X2|~little_set(X1))).
% 1.74/0.59 cnf(i_0_288, plain, (subset(X1,X2)|member(f17(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_317, plain, (disjoint(X1,X2)|member(f23(X1,X2),X2))).
% 1.74/0.59 cnf(i_0_316, plain, (disjoint(X1,X2)|member(f23(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_363, plain, (associative(X1,X2)|member(f34(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_364, plain, (associative(X1,X2)|member(f35(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_365, plain, (associative(X1,X2)|member(f36(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_383, plain, (commutes(X1,X2)|member(f41(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_384, plain, (commutes(X1,X2)|member(f42(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_251, plain, (~member(X1,X2)|~member(X1,complement(X2)))).
% 1.74/0.59 cnf(i_0_287, plain, (member(X3,X2)|~member(X3,X1)|~subset(X1,X2))).
% 1.74/0.59 cnf(i_0_235, plain, (little_set(f4(X1,X2))|~member(X1,first(X2)))).
% 1.74/0.59 cnf(i_0_236, plain, (little_set(f5(X1,X2))|~member(X1,first(X2)))).
% 1.74/0.59 cnf(i_0_240, plain, (little_set(f6(X1,X2))|~member(X1,second(X2)))).
% 1.74/0.59 cnf(i_0_241, plain, (little_set(f7(X1,X2))|~member(X1,second(X2)))).
% 1.74/0.59 cnf(i_0_265, plain, (little_set(f9(X1,X2))|~member(X1,rotate_right(X2)))).
% 1.74/0.59 cnf(i_0_266, plain, (little_set(f10(X1,X2))|~member(X1,rotate_right(X2)))).
% 1.74/0.59 cnf(i_0_267, plain, (little_set(f11(X1,X2))|~member(X1,rotate_right(X2)))).
% 1.74/0.59 cnf(i_0_271, plain, (little_set(f12(X1,X2))|~member(X1,flip_range_of(X2)))).
% 1.74/0.59 cnf(i_0_272, plain, (little_set(f13(X1,X2))|~member(X1,flip_range_of(X2)))).
% 1.74/0.59 cnf(i_0_273, plain, (little_set(f14(X1,X2))|~member(X1,flip_range_of(X2)))).
% 1.74/0.59 cnf(i_0_254, plain, (ordered_pair_predicate(f8(X1,X2))|~member(X1,domain_of(X2)))).
% 1.74/0.59 cnf(i_0_323, plain, (ordered_pair_predicate(f27(X1,X2))|~member(X1,range_of(X2)))).
% 1.74/0.59 cnf(i_0_256, plain, (first(f8(X1,X2))=X1|~member(X1,domain_of(X2)))).
% 1.74/0.59 cnf(i_0_325, plain, (second(f27(X1,X2))=X1|~member(X1,range_of(X2)))).
% 1.74/0.59 cnf(i_0_285, plain, (member(X1,sigma(X2))|~member(X3,X2)|~member(X1,X3))).
% 1.74/0.59 cnf(i_0_257, plain, (member(X1,domain_of(X2))|X1!=first(X3)|~little_set(X1)|~ordered_pair_predicate(X3)|~member(X3,X2))).
% 1.74/0.59 cnf(i_0_326, plain, (member(X1,range_of(X2))|X1!=second(X3)|~little_set(X1)|~ordered_pair_predicate(X3)|~member(X3,X2))).
% 1.74/0.59 cnf(i_0_258, plain, (ordered_pair_predicate(X1)|~member(X1,cross_product(X2,X3)))).
% 1.74/0.59 cnf(i_0_225, plain, (X1=X3|X1=X2|~member(X1,non_ordered_pair(X2,X3)))).
% 1.74/0.59 cnf(i_0_315, plain, (~member(X3,X2)|~member(X3,X1)|~disjoint(X1,X2))).
% 1.74/0.59 cnf(i_0_247, plain, (member(X1,estin)|~little_set(X1)|~ordered_pair_predicate(X1)|~member(first(X1),second(X1)))).
% 1.74/0.59 cnf(i_0_238, plain, (member(X1,f4(X1,X2))|~member(X1,first(X2)))).
% 1.74/0.59 cnf(i_0_243, plain, (member(X1,f7(X1,X2))|~member(X1,second(X2)))).
% 1.74/0.59 cnf(i_0_284, plain, (member(X1,f16(X1,X2))|~member(X1,sigma(X2)))).
% 1.74/0.59 cnf(i_0_255, plain, (member(f8(X1,X2),X2)|~member(X1,domain_of(X2)))).
% 1.74/0.59 cnf(i_0_283, plain, (member(f16(X1,X2),X2)|~member(X1,sigma(X2)))).
% 1.74/0.59 cnf(i_0_324, plain, (member(f27(X1,X2),X2)|~member(X1,range_of(X2)))).
% 1.74/0.59 cnf(i_0_429, plain, (maps(f58(X1),f57(X1),X1)|~finite(X1))).
% 1.74/0.59 cnf(i_0_249, plain, (member(X1,X3)|~member(X1,intersection(X2,X3)))).
% 1.74/0.59 cnf(i_0_248, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 1.74/0.59 cnf(i_0_289, plain, (subset(X1,X2)|~member(f17(X1,X2),X2))).
% 1.74/0.59 cnf(i_0_223, plain, (X1=X2|member(f1(X1,X2),X2)|member(f1(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_259, plain, (member(first(X1),X2)|~member(X1,cross_product(X2,X3)))).
% 1.74/0.59 cnf(i_0_260, plain, (member(second(X1),X3)|~member(X1,cross_product(X2,X3)))).
% 1.74/0.59 cnf(i_0_250, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 1.74/0.59 cnf(i_0_340, plain, (function(X1)|~maps(X1,X2,X3))).
% 1.74/0.59 cnf(i_0_341, plain, (domain_of(X1)=X2|~maps(X1,X2,X3))).
% 1.74/0.59 cnf(i_0_367, plain, (member(X3,X1)|~identity(X1,X2,X3))).
% 1.74/0.59 cnf(i_0_343, plain, (maps(X1,X2,X3)|domain_of(X1)!=X2|~function(X1)|~subset(range_of(X1),X3))).
% 1.74/0.59 cnf(i_0_386, plain, (member(X1,X2)|member(f43(X1,X2),X2)|~little_set(X2)|~member(X1,natural_numbers)|~member(empty_set,X2))).
% 1.74/0.59 cnf(i_0_379, plain, (identity(X1,X2,f39(X1,X2))|~group(X1,X2))).
% 1.74/0.59 cnf(i_0_346, plain, (maps(X2,cross_product(X1,X1),X1)|~closed(X1,X2))).
% 1.74/0.59 cnf(i_0_342, plain, (subset(range_of(X1),X3)|~maps(X1,X2,X3))).
% 1.74/0.59 cnf(i_0_338, plain, (member(X1,apply(X2,X3))|first(X4)!=X3|~ordered_pair_predicate(X4)|~member(X4,X2)|~member(X1,second(X4)))).
% 1.74/0.59 cnf(i_0_313, plain, (member(X1,image(X2,X3))|second(X4)!=X1|~little_set(X1)|~ordered_pair_predicate(X4)|~member(X4,X3)|~member(first(X4),X2))).
% 1.74/0.59 cnf(i_0_261, plain, (member(X1,cross_product(X2,X3))|~little_set(X1)|~ordered_pair_predicate(X1)|~member(first(X1),X2)|~member(second(X1),X3))).
% 1.74/0.59 cnf(i_0_392, plain, (member(X1,X2)|member(f45(X1,X2),natural_numbers)|member(f46(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,plus))).
% 1.74/0.59 cnf(i_0_393, plain, (member(X1,X2)|member(f45(X1,X2),natural_numbers)|member(f47(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,plus))).
% 1.74/0.59 cnf(i_0_394, plain, (member(X1,X2)|member(f45(X1,X2),natural_numbers)|member(f48(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,plus))).
% 1.74/0.59 cnf(i_0_406, plain, (member(X1,X2)|member(f50(X1,X2),natural_numbers)|member(f51(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,times))).
% 1.74/0.59 cnf(i_0_407, plain, (member(X1,X2)|member(f50(X1,X2),natural_numbers)|member(f52(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,times))).
% 1.74/0.59 cnf(i_0_408, plain, (member(X1,X2)|member(f50(X1,X2),natural_numbers)|member(f53(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,times))).
% 1.74/0.59 cnf(i_0_233, plain, (non_ordered_pair(non_ordered_pair(f2(X1),f2(X1)),non_ordered_pair(f2(X1),f3(X1)))=X1|~ordered_pair_predicate(X1))).
% 1.74/0.59 cnf(i_0_234, plain, (ordered_pair_predicate(X1)|X1!=non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3))|~little_set(X3)|~little_set(X2))).
% 1.74/0.59 cnf(i_0_432, plain, (finite(X1)|range_of(X3)!=X1|~one_to_one_function(X3)|~member(X2,natural_numbers)|~maps(X3,X2,X1))).
% 1.74/0.59 cnf(i_0_224, plain, (X1=X2|~member(f1(X1,X2),X2)|~member(f1(X1,X2),X1))).
% 1.74/0.59 cnf(i_0_347, plain, (closed(X1,X2)|~little_set(X2)|~little_set(X1)|~maps(X2,cross_product(X1,X1),X1))).
% 1.74/0.59 cnf(i_0_239, plain, (member(X1,first(X2))|X2!=non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4))|~little_set(X4)|~little_set(X3)|~member(X1,X3))).
% 1.74/0.59 cnf(i_0_244, plain, (member(X1,second(X2))|X2!=non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4))|~little_set(X4)|~little_set(X3)|~member(X1,X4))).
% 1.74/0.59 cnf(i_0_348, plain, (little_set(f29(X1,X2,X3))|~member(X1,compose(X2,X3)))).
% 1.74/0.59 cnf(i_0_349, plain, (little_set(f30(X1,X2,X3))|~member(X1,compose(X2,X3)))).
% 1.74/0.59 cnf(i_0_350, plain, (little_set(f31(X1,X2,X3))|~member(X1,compose(X2,X3)))).
% 1.74/0.59 cnf(i_0_309, plain, (ordered_pair_predicate(f22(X1,X2,X3))|~member(X1,image(X2,X3)))).
% 1.74/0.59 cnf(i_0_334, plain, (ordered_pair_predicate(f28(X1,X2,X3))|~member(X1,apply(X2,X3)))).
% 1.74/0.59 cnf(i_0_336, plain, (first(f28(X1,X2,X3))=X3|~member(X1,apply(X2,X3)))).
% 1.74/0.59 cnf(i_0_312, plain, (second(f22(X1,X2,X3))=X1|~member(X1,image(X2,X3)))).
% 1.74/0.59 cnf(i_0_322, plain, (X1=empty_set|member(non_ordered_pair(non_ordered_pair(X1,X1),non_ordered_pair(X1,f26(X1))),f25)|~little_set(X1))).
% 1.74/0.59 cnf(i_0_424, plain, (X1=empty_set|X1=complement(intersection(complement(empty_set),complement(non_ordered_pair(empty_set,empty_set))))|member(X1,prime_numbers)|member(f55(X1),natural_numbers)|~member(X1,natural_numbers))).
% 1.74/0.59 cnf(i_0_425, plain, (X1=empty_set|X1=complement(intersection(complement(empty_set),complement(non_ordered_pair(empty_set,empty_set))))|member(X1,prime_numbers)|member(f56(X1),natural_numbers)|~member(X1,natural_numbers))).
% 1.74/0.59 cnf(i_0_310, plain, (member(f22(X1,X2,X3),X3)|~member(X1,image(X2,X3)))).
% 1.74/0.59 cnf(i_0_335, plain, (member(f28(X1,X2,X3),X2)|~member(X1,apply(X2,X3)))).
% 1.74/0.59 cnf(i_0_370, plain, (identity(X1,X2,X3)|member(f37(X1,X2,X3),X1)|~member(X3,X1))).
% 1.74/0.59 cnf(i_0_422, plain, (X1!=complement(intersection(complement(empty_set),complement(non_ordered_pair(empty_set,empty_set))))|~member(X1,prime_numbers))).
% 1.74/0.59 cnf(i_0_303, plain, (single_valued_set(X1)|member(non_ordered_pair(non_ordered_pair(f19(X1),f19(X1)),non_ordered_pair(f19(X1),f20(X1))),X1))).
% 1.74/0.59 cnf(i_0_304, plain, (single_valued_set(X1)|member(non_ordered_pair(non_ordered_pair(f19(X1),f19(X1)),non_ordered_pair(f19(X1),f21(X1))),X1))).
% 1.74/0.59 cnf(i_0_369, plain, (apply(X2,non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X3)))=X4|~member(X4,X1)|~identity(X1,X2,X3))).
% 1.74/0.59 cnf(i_0_368, plain, (apply(X2,non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4)))=X4|~member(X4,X1)|~identity(X1,X2,X3))).
% 1.74/0.59 cnf(i_0_438, plain, (apply(plus,non_ordered_pair(non_ordered_pair(f59(X1),f59(X1)),non_ordered_pair(f59(X1),f59(X1))))=X1|~member(X1,even_numbers))).
% 1.74/0.59 cnf(i_0_263, plain, (member(non_ordered_pair(non_ordered_pair(second(X1),second(X1)),non_ordered_pair(second(X1),first(X1))),X2)|~member(X1,converse(X2)))).
% 1.74/0.59 cnf(i_0_439, plain, (member(X1,even_numbers)|apply(plus,non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X2)))!=X1|~member(X2,natural_numbers)|~member(X1,natural_numbers))).
% 1.74/0.59 cnf(i_0_337, plain, (member(X1,second(f28(X1,X2,X3)))|~member(X1,apply(X2,X3)))).
% 1.74/0.59 cnf(i_0_311, plain, (member(first(f22(X1,X2,X3)),X2)|~member(X1,image(X2,X3)))).
% 1.74/0.59 cnf(i_0_237, plain, (non_ordered_pair(non_ordered_pair(f4(X1,X2),f4(X1,X2)),non_ordered_pair(f4(X1,X2),f5(X1,X2)))=X2|~member(X1,first(X2)))).
% 1.74/0.59 cnf(i_0_242, plain, (non_ordered_pair(non_ordered_pair(f6(X1,X2),f6(X1,X2)),non_ordered_pair(f6(X1,X2),f7(X1,X2)))=X2|~member(X1,second(X2)))).
% 1.74/0.59 cnf(i_0_380, plain, (inverse(X1,X2,f39(X1,X2),f40(X1,X2))|~group(X1,X2))).
% 1.74/0.59 cnf(i_0_282, plain, (member(complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1)))),infinity)|~member(X1,infinity))).
% 1.74/0.59 cnf(i_0_382, plain, (apply(X2,non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4)))=apply(X2,non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X3)))|~member(X4,X1)|~member(X3,X1)|~commutes(X1,X2))).
% 1.74/0.59 cnf(i_0_390, plain, (member(X1,natural_numbers)|member(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),f44(X1))|~little_set(X1)|~member(X2,f44(X1)))).
% 1.74/0.59 cnf(i_0_426, plain, (X1=empty_set|X1=complement(intersection(complement(empty_set),complement(non_ordered_pair(empty_set,empty_set))))|apply(times,non_ordered_pair(non_ordered_pair(f55(X1),f55(X1)),non_ordered_pair(f55(X1),f56(X1))))=X1|member(X1,prime_numbers)|~member(X1,natural_numbers))).
% 1.74/0.59 cnf(i_0_264, plain, (member(X1,converse(X2))|~little_set(X1)|~ordered_pair_predicate(X1)|~member(non_ordered_pair(non_ordered_pair(second(X1),second(X1)),non_ordered_pair(second(X1),first(X1))),X2))).
% 1.74/0.59 cnf(i_0_372, plain, (maps(X4,X1,X1)|~inverse(X1,X2,X3,X4))).
% 1.74/0.59 cnf(i_0_299, plain, (X3=X4|~little_set(X4)|~little_set(X3)|~little_set(X2)|~single_valued_set(X1)|~member(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X4)),X1)|~member(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3)),X1))).
% 1.74/0.59 cnf(i_0_381, plain, (group(X1,X2)|~closed(X1,X2)|~associative(X1,X2)|~identity(X1,X2,X3)|~inverse(X1,X2,X3,X4))).
% 1.74/0.59 cnf(i_0_354, plain, (member(X1,compose(X2,X3))|X1!=non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X5))|~little_set(X6)|~little_set(X5)|~little_set(X4)|~little_set(X1)|~member(non_ordered_pair(non_ordered_pair(X6,X6),non_ordered_pair(X6,X5)),X3)|~member(non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X6)),X2))).
% 1.74/0.59 cnf(i_0_374, plain, (apply(X2,non_ordered_pair(non_ordered_pair(X5,X5),non_ordered_pair(X5,apply(X4,X5))))=X3|~member(X5,X1)|~inverse(X1,X2,X3,X4))).
% 1.74/0.59 cnf(i_0_423, plain, (member(X2,non_ordered_pair(complement(intersection(complement(empty_set),complement(non_ordered_pair(empty_set,empty_set)))),X1))|apply(times,non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3)))!=X1|~member(X3,natural_numbers)|~member(X2,natural_numbers)|~member(X1,prime_numbers))).
% 1.74/0.59 cnf(i_0_375, plain, (inverse(X1,X2,X3,X4)|member(f38(X1,X2,X3,X4),X1)|~maps(X4,X1,X1))).
% 1.74/0.59 cnf(i_0_373, plain, (apply(X2,non_ordered_pair(non_ordered_pair(apply(X4,X5),apply(X4,X5)),non_ordered_pair(apply(X4,X5),X5)))=X3|~member(X5,X1)|~inverse(X1,X2,X3,X4))).
% 1.74/0.59 cnf(i_0_351, plain, (non_ordered_pair(non_ordered_pair(f29(X1,X2,X3),f29(X1,X2,X3)),non_ordered_pair(f29(X1,X2,X3),f30(X1,X2,X3)))=X1|~member(X1,compose(X2,X3)))).
% 1.74/0.59 cnf(i_0_427, plain, (X1=empty_set|X1=complement(intersection(complement(empty_set),complement(non_ordered_pair(empty_set,empty_set))))|member(X1,prime_numbers)|~member(X1,natural_numbers)|~member(f55(X1),non_ordered_pair(complement(intersection(complement(empty_set),complement(non_ordered_pair(empty_set,empty_set)))),X1)))).
% 1.74/0.59 cnf(i_0_268, plain, (non_ordered_pair(non_ordered_pair(f9(X1,X2),f9(X1,X2)),non_ordered_pair(f9(X1,X2),non_ordered_pair(non_ordered_pair(f10(X1,X2),f10(X1,X2)),non_ordered_pair(f10(X1,X2),f11(X1,X2)))))=X1|~member(X1,rotate_right(X2)))).
% 1.74/0.59 cnf(i_0_274, plain, (non_ordered_pair(non_ordered_pair(f12(X1,X2),f12(X1,X2)),non_ordered_pair(f12(X1,X2),non_ordered_pair(non_ordered_pair(f13(X1,X2),f13(X1,X2)),non_ordered_pair(f13(X1,X2),f14(X1,X2)))))=X1|~member(X1,flip_range_of(X2)))).
% 1.74/0.59 cnf(i_0_417, plain, (member(X1,times)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,X2)),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,X2))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,X2)),empty_set)),f54(X1))|~little_set(X1)|~member(X2,natural_numbers))).
% 1.74/0.59 cnf(i_0_403, plain, (member(X1,plus)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,X2)),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,X2))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,X2)),X2)),f49(X1))|~little_set(X1)|~member(X2,natural_numbers))).
% 1.74/0.59 cnf(i_0_270, plain, (member(X1,rotate_right(X2))|X1!=non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X5))))|~little_set(X5)|~little_set(X4)|~little_set(X3)|~little_set(X1)|~member(non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,non_ordered_pair(non_ordered_pair(X5,X5),non_ordered_pair(X5,X3)))),X2))).
% 1.74/0.59 cnf(i_0_276, plain, (member(X1,flip_range_of(X2))|X1!=non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X5))))|~little_set(X5)|~little_set(X4)|~little_set(X3)|~little_set(X1)|~member(non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,non_ordered_pair(non_ordered_pair(X5,X5),non_ordered_pair(X5,X4)))),X2))).
% 1.74/0.59 cnf(i_0_385, plain, (commutes(X1,X2)|apply(X2,non_ordered_pair(non_ordered_pair(f42(X1,X2),f42(X1,X2)),non_ordered_pair(f42(X1,X2),f41(X1,X2))))!=apply(X2,non_ordered_pair(non_ordered_pair(f41(X1,X2),f41(X1,X2)),non_ordered_pair(f41(X1,X2),f42(X1,X2)))))).
% 1.74/0.59 cnf(i_0_356, plain, (closed(X4,X5)|~homomorphism(X1,X2,X3,X4,X5))).
% 1.74/0.59 cnf(i_0_355, plain, (closed(X2,X3)|~homomorphism(X1,X2,X3,X4,X5))).
% 1.74/0.59 cnf(i_0_352, plain, (member(non_ordered_pair(non_ordered_pair(f29(X1,X2,X3),f29(X1,X2,X3)),non_ordered_pair(f29(X1,X2,X3),f31(X1,X2,X3))),X2)|~member(X1,compose(X2,X3)))).
% 1.74/0.59 cnf(i_0_353, plain, (member(non_ordered_pair(non_ordered_pair(f31(X1,X2,X3),f31(X1,X2,X3)),non_ordered_pair(f31(X1,X2,X3),f30(X1,X2,X3))),X3)|~member(X1,compose(X2,X3)))).
% 1.74/0.59 cnf(i_0_357, plain, (maps(X1,X2,X4)|~homomorphism(X1,X2,X3,X4,X5))).
% 1.74/0.59 cnf(i_0_387, plain, (member(X1,X2)|~little_set(X2)|~member(X1,natural_numbers)|~member(empty_set,X2)|~member(complement(intersection(complement(f43(X1,X2)),complement(non_ordered_pair(f43(X1,X2),f43(X1,X2))))),X2))).
% 1.74/0.59 cnf(i_0_269, plain, (member(non_ordered_pair(non_ordered_pair(f10(X1,X2),f10(X1,X2)),non_ordered_pair(f10(X1,X2),non_ordered_pair(non_ordered_pair(f11(X1,X2),f11(X1,X2)),non_ordered_pair(f11(X1,X2),f9(X1,X2))))),X2)|~member(X1,rotate_right(X2)))).
% 1.74/0.59 cnf(i_0_275, plain, (member(non_ordered_pair(non_ordered_pair(f12(X1,X2),f12(X1,X2)),non_ordered_pair(f12(X1,X2),non_ordered_pair(non_ordered_pair(f14(X1,X2),f14(X1,X2)),non_ordered_pair(f14(X1,X2),f13(X1,X2))))),X2)|~member(X1,flip_range_of(X2)))).
% 1.74/0.59 cnf(i_0_358, plain, (apply(X1,apply(X3,non_ordered_pair(non_ordered_pair(X6,X6),non_ordered_pair(X6,X7))))=apply(X5,non_ordered_pair(non_ordered_pair(apply(X1,X6),apply(X1,X6)),non_ordered_pair(apply(X1,X6),apply(X1,X7))))|~member(X7,X2)|~member(X6,X2)|~homomorphism(X1,X2,X3,X4,X5))).
% 1.74/0.59 cnf(i_0_371, plain, (identity(X1,X2,X3)|apply(X2,non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,f37(X1,X2,X3))))!=f37(X1,X2,X3)|apply(X2,non_ordered_pair(non_ordered_pair(f37(X1,X2,X3),f37(X1,X2,X3)),non_ordered_pair(f37(X1,X2,X3),X3)))!=f37(X1,X2,X3)|~member(X3,X1))).
% 1.74/0.59 cnf(i_0_359, plain, (homomorphism(X1,X2,X3,X4,X5)|member(f32(X1,X2,X3,X4,X5),X2)|~closed(X4,X5)|~closed(X2,X3)|~maps(X1,X2,X4))).
% 1.74/0.59 cnf(i_0_360, plain, (homomorphism(X1,X2,X3,X4,X5)|member(f33(X1,X2,X3,X4,X5),X2)|~closed(X4,X5)|~closed(X2,X3)|~maps(X1,X2,X4))).
% 1.74/0.59 cnf(i_0_411, plain, (member(X1,X2)|member(f51(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,times)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),empty_set)),X2))).
% 1.74/0.59 cnf(i_0_412, plain, (member(X1,X2)|member(f52(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,times)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),empty_set)),X2))).
% 1.74/0.59 cnf(i_0_413, plain, (member(X1,X2)|member(f53(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,times)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),empty_set)),X2))).
% 1.74/0.59 cnf(i_0_397, plain, (member(X1,X2)|member(f46(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,plus)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),f45(X1,X2))),X2))).
% 1.74/0.59 cnf(i_0_398, plain, (member(X1,X2)|member(f47(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,plus)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),f45(X1,X2))),X2))).
% 1.74/0.59 cnf(i_0_399, plain, (member(X1,X2)|member(f48(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,plus)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),f45(X1,X2))),X2))).
% 1.74/0.59 cnf(i_0_362, plain, (apply(X2,non_ordered_pair(non_ordered_pair(apply(X2,non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4))),apply(X2,non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4)))),non_ordered_pair(apply(X2,non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,X4))),X5)))=apply(X2,non_ordered_pair(non_ordered_pair(X3,X3),non_ordered_pair(X3,apply(X2,non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X5))))))|~member(X5,X1)|~member(X4,X1)|~member(X3,X1)|~associative(X1,X2))).
% 1.74/0.59 cnf(i_0_395, plain, (member(X1,X2)|member(f45(X1,X2),natural_numbers)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(f46(X1,X2),f46(X1,X2)),non_ordered_pair(f46(X1,X2),f47(X1,X2))),non_ordered_pair(non_ordered_pair(f46(X1,X2),f46(X1,X2)),non_ordered_pair(f46(X1,X2),f47(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(f46(X1,X2),f46(X1,X2)),non_ordered_pair(f46(X1,X2),f47(X1,X2))),f48(X1,X2))),X2)|~little_set(X2)|~member(X1,plus))).
% 1.74/0.59 cnf(i_0_409, plain, (member(X1,X2)|member(f50(X1,X2),natural_numbers)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(f51(X1,X2),f51(X1,X2)),non_ordered_pair(f51(X1,X2),f52(X1,X2))),non_ordered_pair(non_ordered_pair(f51(X1,X2),f51(X1,X2)),non_ordered_pair(f51(X1,X2),f52(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(f51(X1,X2),f51(X1,X2)),non_ordered_pair(f51(X1,X2),f52(X1,X2))),f53(X1,X2))),X2)|~little_set(X2)|~member(X1,times))).
% 1.74/0.59 cnf(i_0_414, plain, (member(X1,X2)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(f51(X1,X2),f51(X1,X2)),non_ordered_pair(f51(X1,X2),f52(X1,X2))),non_ordered_pair(non_ordered_pair(f51(X1,X2),f51(X1,X2)),non_ordered_pair(f51(X1,X2),f52(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(f51(X1,X2),f51(X1,X2)),non_ordered_pair(f51(X1,X2),f52(X1,X2))),f53(X1,X2))),X2)|~little_set(X2)|~member(X1,times)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),empty_set)),X2))).
% 1.74/0.59 cnf(i_0_400, plain, (member(X1,X2)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(f46(X1,X2),f46(X1,X2)),non_ordered_pair(f46(X1,X2),f47(X1,X2))),non_ordered_pair(non_ordered_pair(f46(X1,X2),f46(X1,X2)),non_ordered_pair(f46(X1,X2),f47(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(f46(X1,X2),f46(X1,X2)),non_ordered_pair(f46(X1,X2),f47(X1,X2))),f48(X1,X2))),X2)|~little_set(X2)|~member(X1,plus)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),f45(X1,X2))),X2))).
% 1.74/0.59 cnf(i_0_434, plain, (member(complement(intersection(complement(complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1))))),complement(non_ordered_pair(complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1)))),complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1)))))))),prime_numbers)|~member(X1,twin_prime_numbers))).
% 1.74/0.59 cnf(i_0_435, plain, (member(X1,twin_prime_numbers)|~member(X1,prime_numbers)|~member(complement(intersection(complement(complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1))))),complement(non_ordered_pair(complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1)))),complement(intersection(complement(X1),complement(non_ordered_pair(X1,X1)))))))),prime_numbers))).
% 1.74/0.59 cnf(i_0_366, plain, (associative(X1,X2)|apply(X2,non_ordered_pair(non_ordered_pair(f34(X1,X2),f34(X1,X2)),non_ordered_pair(f34(X1,X2),apply(X2,non_ordered_pair(non_ordered_pair(f35(X1,X2),f35(X1,X2)),non_ordered_pair(f35(X1,X2),f36(X1,X2)))))))!=apply(X2,non_ordered_pair(non_ordered_pair(apply(X2,non_ordered_pair(non_ordered_pair(f34(X1,X2),f34(X1,X2)),non_ordered_pair(f34(X1,X2),f35(X1,X2)))),apply(X2,non_ordered_pair(non_ordered_pair(f34(X1,X2),f34(X1,X2)),non_ordered_pair(f34(X1,X2),f35(X1,X2))))),non_ordered_pair(apply(X2,non_ordered_pair(non_ordered_pair(f34(X1,X2),f34(X1,X2)),non_ordered_pair(f34(X1,X2),f35(X1,X2)))),f36(X1,X2)))))).
% 1.74/0.59 cnf(i_0_376, plain, (inverse(X1,X2,X3,X4)|apply(X2,non_ordered_pair(non_ordered_pair(f38(X1,X2,X3,X4),f38(X1,X2,X3,X4)),non_ordered_pair(f38(X1,X2,X3,X4),apply(X4,f38(X1,X2,X3,X4)))))!=X3|apply(X2,non_ordered_pair(non_ordered_pair(apply(X4,f38(X1,X2,X3,X4)),apply(X4,f38(X1,X2,X3,X4))),non_ordered_pair(apply(X4,f38(X1,X2,X3,X4)),f38(X1,X2,X3,X4))))!=X3|~maps(X4,X1,X1))).
% 1.74/0.59 cnf(i_0_418, plain, (member(X1,times)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2))))),non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),X3)),non_ordered_pair(non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2))))),non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),X3))),non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2))))),non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),X3)),apply(plus,non_ordered_pair(non_ordered_pair(X4,X4),non_ordered_pair(X4,X3))))),f54(X1))|~little_set(X1)|~member(X4,natural_numbers)|~member(X3,natural_numbers)|~member(X2,natural_numbers)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3)),non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3))),non_ordered_pair(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3)),X4)),f54(X1)))).
% 1.74/0.59 cnf(i_0_404, plain, (member(X1,plus)|member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2))))),non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),X3)),non_ordered_pair(non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2))))),non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),X3))),non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2))))),non_ordered_pair(complement(intersection(complement(X2),complement(non_ordered_pair(X2,X2)))),X3)),complement(intersection(complement(X4),complement(non_ordered_pair(X4,X4)))))),f49(X1))|~little_set(X1)|~member(X4,natural_numbers)|~member(X3,natural_numbers)|~member(X2,natural_numbers)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3)),non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3))),non_ordered_pair(non_ordered_pair(non_ordered_pair(X2,X2),non_ordered_pair(X2,X3)),X4)),f49(X1)))).
% 1.74/0.59 cnf(i_0_361, plain, (homomorphism(X1,X2,X3,X4,X5)|apply(X1,apply(X3,non_ordered_pair(non_ordered_pair(f32(X1,X2,X3,X4,X5),f32(X1,X2,X3,X4,X5)),non_ordered_pair(f32(X1,X2,X3,X4,X5),f33(X1,X2,X3,X4,X5)))))!=apply(X5,non_ordered_pair(non_ordered_pair(apply(X1,f32(X1,X2,X3,X4,X5)),apply(X1,f32(X1,X2,X3,X4,X5))),non_ordered_pair(apply(X1,f32(X1,X2,X3,X4,X5)),apply(X1,f33(X1,X2,X3,X4,X5)))))|~closed(X4,X5)|~closed(X2,X3)|~maps(X1,X2,X4))).
% 1.74/0.59 cnf(i_0_410, plain, (member(X1,X2)|member(f50(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,times)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),f52(X1,X2))),non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),f52(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),f52(X1,X2))),apply(plus,non_ordered_pair(non_ordered_pair(f53(X1,X2),f53(X1,X2)),non_ordered_pair(f53(X1,X2),f52(X1,X2)))))),X2))).
% 1.74/0.59 cnf(i_0_396, plain, (member(X1,X2)|member(f45(X1,X2),natural_numbers)|~little_set(X2)|~member(X1,plus)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),f47(X1,X2))),non_ordered_pair(non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),f47(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),f47(X1,X2))),complement(intersection(complement(f48(X1,X2)),complement(non_ordered_pair(f48(X1,X2),f48(X1,X2))))))),X2))).
% 1.74/0.59 cnf(i_0_415, plain, (member(X1,X2)|~little_set(X2)|~member(X1,times)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f50(X1,X2))),empty_set)),X2)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),f52(X1,X2))),non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),f52(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f51(X1,X2)),complement(non_ordered_pair(f51(X1,X2),f51(X1,X2))))),f52(X1,X2))),apply(plus,non_ordered_pair(non_ordered_pair(f53(X1,X2),f53(X1,X2)),non_ordered_pair(f53(X1,X2),f52(X1,X2)))))),X2))).
% 1.74/0.59 cnf(i_0_401, plain, (member(X1,X2)|~little_set(X2)|~member(X1,plus)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(empty_set,empty_set),non_ordered_pair(empty_set,f45(X1,X2))),f45(X1,X2))),X2)|~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),f47(X1,X2))),non_ordered_pair(non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),f47(X1,X2)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2)))))),non_ordered_pair(complement(intersection(complement(f46(X1,X2)),complement(non_ordered_pair(f46(X1,X2),f46(X1,X2))))),f47(X1,X2))),complement(intersection(complement(f48(X1,X2)),complement(non_ordered_pair(f48(X1,X2),f48(X1,X2))))))),X2))).
% 1.74/0.59 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 1.74/0.59 # Begin printing tableau
% 1.74/0.59 # Found 7 steps
% 1.74/0.59 cnf(i_0_440, negated_conjecture, (~member(empty_set,natural_numbers)), inference(start_rule)).
% 1.74/0.59 cnf(i_0_441, plain, (~member(empty_set,natural_numbers)), inference(extension_rule, [i_0_410])).
% 1.74/0.59 cnf(i_0_1048, plain, (member(f50(empty_set,natural_numbers),natural_numbers)), inference(extension_rule, [i_0_221])).
% 1.74/0.59 cnf(i_0_1049, plain, (~little_set(natural_numbers)), inference(etableau_closure_rule, [i_0_1049, ...])).
% 1.74/0.59 cnf(i_0_1050, plain, (~member(empty_set,times)), inference(etableau_closure_rule, [i_0_1050, ...])).
% 1.74/0.59 cnf(i_0_1051, plain, (~member(non_ordered_pair(non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers))))),complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers)))))),non_ordered_pair(complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers))))),f52(empty_set,natural_numbers))),non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers))))),complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers)))))),non_ordered_pair(complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers))))),f52(empty_set,natural_numbers)))),non_ordered_pair(non_ordered_pair(non_ordered_pair(complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers))))),complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers)))))),non_ordered_pair(complement(intersection(complement(f51(empty_set,natural_numbers)),complement(non_ordered_pair(f51(empty_set,natural_numbers),f51(empty_set,natural_numbers))))),f52(empty_set,natural_numbers))),apply(plus,non_ordered_pair(non_ordered_pair(f53(empty_set,natural_numbers),f53(empty_set,natural_numbers)),non_ordered_pair(f53(empty_set,natural_numbers),f52(empty_set,natural_numbers)))))),natural_numbers)), inference(etableau_closure_rule, [i_0_1051, ...])).
% 1.74/0.59 cnf(i_0_1120, plain, (little_set(f50(empty_set,natural_numbers))), inference(etableau_closure_rule, [i_0_1120, ...])).
% 1.74/0.59 # End printing tableau
% 1.74/0.59 # SZS output end
% 1.74/0.59 # Branches closed with saturation will be marked with an "s"
% 1.74/0.59 # Child (24569) has found a proof.
% 1.74/0.59
% 1.74/0.59 # Proof search is over...
% 1.74/0.59 # Freeing feature tree
%------------------------------------------------------------------------------