0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % 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 : n015.cluster.edu 0.12/0.33 Model : x86_64 x86_64 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 RAMPerCPU : 8042.1875MB 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 02:29:41 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.39 # No SInE strategy applied 0.12/0.39 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN 0.12/0.39 # and selection function SelectComplexExceptUniqMaxHorn. 0.12/0.39 # 0.12/0.39 # Presaturation interreduction done 0.12/0.39 # Number of axioms: 190 Number of unprocessed: 159 0.12/0.39 # Tableaux proof search. 0.12/0.39 # APR header successfully linked. 0.12/0.39 # Hello from C++ 0.19/0.41 # The folding up rule is enabled... 0.19/0.41 # Local unification is enabled... 0.19/0.41 # Any saturation attempts will use folding labels... 0.19/0.41 # 159 beginning clauses after preprocessing and clausification 0.19/0.41 # Creating start rules for all 1 conjectures. 0.19/0.41 # There are 1 start rule candidates: 0.19/0.41 # Found 60 unit axioms. 0.19/0.41 # 1 start rule tableaux created. 0.19/0.41 # 99 extension rule candidate clauses 0.19/0.41 # 60 unit axiom clauses 0.19/0.41 0.19/0.41 # Requested 8, 32 cores available to the main process. 0.19/0.41 # There are not enough tableaux to fork, creating more from the initial 1 0.19/0.41 # Creating equality axioms 0.19/0.41 # Ran out of tableaux, making start rules for all clauses 0.19/0.41 # Returning from population with 192 new_tableaux and 0 remaining starting tableaux. 0.19/0.41 # We now have 192 tableaux to operate on 0.19/0.47 # There were 1 total branch saturation attempts. 0.19/0.47 # There were 0 of these attempts blocked. 0.19/0.47 # There were 0 deferred branch saturation attempts. 0.19/0.47 # There were 0 free duplicated saturations. 0.19/0.47 # There were 1 total successful branch saturations. 0.19/0.47 # There were 0 successful branch saturations in interreduction. 0.19/0.47 # There were 0 successful branch saturations on the branch. 0.19/0.47 # There were 1 successful branch saturations after the branch. 0.19/0.47 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.47 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.47 # Begin clausification derivation 0.19/0.47 0.19/0.47 # End clausification derivation 0.19/0.47 # Begin listing active clauses obtained from FOF to CNF conversion 0.19/0.47 cnf(i_0_54, plain, (zero_zero(int)=pls)). 0.19/0.47 cnf(i_0_172, plain, (zero_zero(nat)=number_number_of(nat,pls))). 0.19/0.47 cnf(i_0_151, plain, (number_number_of(int,pls)=pls)). 0.19/0.47 cnf(i_0_134, plain, (power(nat))). 0.19/0.47 cnf(i_0_81, plain, (power(int))). 0.19/0.47 cnf(i_0_33, plain, (semiring_0(nat))). 0.19/0.47 cnf(i_0_158, plain, (semiring_0(int))). 0.19/0.47 cnf(i_0_2, plain, (mult_zero(nat))). 0.19/0.47 cnf(i_0_161, plain, (mult_zero(int))). 0.19/0.47 cnf(i_0_136, plain, (linordered_idom(int))). 0.19/0.47 cnf(i_0_166, plain, (semiring_1_of_nat(int,one_one(nat))=one_one(int))). 0.19/0.47 cnf(i_0_105, plain, (semiring_1_of_nat(int,number_number_of(nat,pls))=pls)). 0.19/0.47 cnf(i_0_32, plain, (number_semiring(nat))). 0.19/0.47 cnf(i_0_192, plain, (number_semiring(int))). 0.19/0.47 cnf(i_0_131, plain, (number_ring(int))). 0.19/0.47 cnf(i_0_57, plain, (ring_11004092258visors(int))). 0.19/0.47 cnf(i_0_62, plain, (number(nat))). 0.19/0.47 cnf(i_0_124, plain, (number(int))). 0.19/0.47 cnf(i_0_156, plain, (no_zero_divisors(nat))). 0.19/0.47 cnf(i_0_137, hypothesis, (ti(nat,n)=n)). 0.19/0.47 cnf(i_0_139, hypothesis, (ti(int,pls)=pls)). 0.19/0.47 cnf(i_0_70, plain, (no_zero_divisors(int))). 0.19/0.47 cnf(i_0_91, plain, (linord219039673up_add(int))). 0.19/0.47 cnf(i_0_107, plain, (zero_neq_one(nat))). 0.19/0.47 cnf(i_0_150, plain, (zero_neq_one(int))). 0.19/0.47 cnf(i_0_194, plain, (semiring_1(nat))). 0.19/0.47 cnf(i_0_184, plain, (semiring_1(int))). 0.19/0.47 cnf(i_0_187, plain, (ring_char_0(int))). 0.19/0.47 cnf(i_0_56, plain, (ti(int,t)=t)). 0.19/0.47 cnf(i_0_106, plain, (plus_plus(int,pls,X1)=X1)). 0.19/0.47 cnf(i_0_177, plain, (plus_plus(int,X1,pls)=X1)). 0.19/0.47 cnf(i_0_116, plain, (ord_less(nat,number_number_of(nat,pls),n))). 0.19/0.47 cnf(i_0_63, plain, (ti(X1,undefined(X1))=undefined(X1))). 0.19/0.47 cnf(i_0_114, plain, (ord_less(int,one_one(int),t))). 0.19/0.47 cnf(i_0_90, plain, (ord_less(int,pls,one_one(int)))). 0.19/0.47 cnf(i_0_66, plain, (number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))=plus_plus(nat,one_one(nat),one_one(nat)))). 0.19/0.47 cnf(i_0_138, plain, (ord_less(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))))). 0.19/0.47 cnf(i_0_129, negated_conjecture, (power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(nat,one_one(nat),one_one(nat)))=pls)). 0.19/0.47 cnf(i_0_55, hypothesis, (ti(int,plus_plus(int,X1,X1))=plus_plus(int,X1,X1))). 0.19/0.47 cnf(i_0_113, plain, (semiring_1_of_nat(int,power_power(nat,X1,X2))=power_power(int,semiring_1_of_nat(int,X1),X2))). 0.19/0.47 cnf(i_0_115, plain, (plus_plus(int,number_number_of(int,X1),number_number_of(int,X2))=number_number_of(int,plus_plus(int,X1,X2)))). 0.19/0.47 cnf(i_0_147, plain, (plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X2))=semiring_1_of_nat(int,plus_plus(nat,X1,X2)))). 0.19/0.47 cnf(i_0_125, plain, (ti(X1,ti(X1,X2))=ti(X1,X2))). 0.19/0.47 cnf(i_0_118, hypothesis, (plus_plus(int,ti(int,X1),ti(int,X1))=plus_plus(int,X1,X1))). 0.19/0.47 cnf(i_0_104, plain, (plus_plus(int,plus_plus(int,X1,X2),X3)=plus_plus(int,X1,plus_plus(int,X2,X3)))). 0.19/0.47 cnf(i_0_48, hypothesis, (ti(int,plus_plus(int,X1,plus_plus(int,one_one(int),X1)))=plus_plus(int,X1,plus_plus(int,one_one(int),X1)))). 0.19/0.47 cnf(i_0_52, plain, (plus_plus(int,semiring_1_of_nat(int,X1),plus_plus(int,semiring_1_of_nat(int,X2),X3))=plus_plus(int,semiring_1_of_nat(int,plus_plus(nat,X1,X2)),X3))). 0.19/0.47 cnf(i_0_71, plain, (power_power(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),plus_plus(nat,one_one(nat),one_one(nat)))=power_power(int,X1,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int)))))))). 0.19/0.47 cnf(i_0_51, plain, (number_number_of(int,one_one(int))=one_one(int))). 0.19/0.47 cnf(i_0_73, plain, (number_number_of(nat,one_one(int))=one_one(nat))). 0.19/0.47 cnf(i_0_10, plain, (ord_less(int,X1,plus_plus(int,X1,one_one(int))))). 0.19/0.47 cnf(i_0_84, plain, (plus_plus(int,X1,X2)=plus_plus(int,X2,X1))). 0.19/0.47 cnf(i_0_14, plain, (plus_plus(int,X1,plus_plus(int,X2,X3))=plus_plus(int,X2,plus_plus(int,X1,X3)))). 0.19/0.47 cnf(i_0_128, plain, (plus_plus(int,X1,plus_plus(int,X1,plus_plus(int,X2,plus_plus(int,one_one(int),X2))))=plus_plus(int,one_one(int),plus_plus(int,X1,plus_plus(int,X2,plus_plus(int,X1,X2)))))). 0.19/0.47 cnf(i_0_46, plain, (plus_plus(int,one_one(int),plus_plus(int,X1,plus_plus(int,X2,plus_plus(int,X1,X2))))=plus_plus(int,X1,plus_plus(int,one_one(int),plus_plus(int,X1,plus_plus(int,X2,X2)))))). 0.19/0.47 cnf(i_0_40, plain, (one_one(int)!=pls)). 0.19/0.47 cnf(i_0_67, plain, (~ord_less(int,pls,pls))). 0.19/0.47 cnf(i_0_7, plain, (~ord_less(int,semiring_1_of_nat(int,X1),pls))). 0.19/0.47 cnf(i_0_74, plain, (plus_plus(int,X1,plus_plus(int,one_one(int),X1))!=plus_plus(int,X2,X2))). 0.19/0.47 cnf(i_0_20, plain, (plus_plus(int,X1,plus_plus(int,one_one(int),X1))!=pls)). 0.19/0.47 cnf(i_0_19, plain, (number_number_of(nat,pls)=X1|semiring_1_of_nat(int,X1)!=pls)). 0.19/0.47 cnf(i_0_162, plain, (zero_zero(X1)=number_number_of(X1,pls)|~number_ring(X1))). 0.19/0.47 cnf(i_0_9, plain, (zero_zero(X1)=number_number_of(X1,pls)|~number_semiring(X1))). 0.19/0.47 cnf(i_0_75, plain, (X1=pls|plus_plus(int,X1,X1)!=pls)). 0.19/0.47 cnf(i_0_65, plain, (X1=X2|semiring_1_of_nat(int,X1)!=semiring_1_of_nat(int,X2))). 0.19/0.47 cnf(i_0_195, plain, (ti(X1,zero_zero(X1))=zero_zero(X1)|~linord219039673up_add(X1))). 0.19/0.47 cnf(i_0_39, plain, (ord_less(nat,X1,X2)|~ord_less(nat,X1,ti(nat,X2)))). 0.19/0.47 cnf(i_0_80, plain, (ord_less(nat,X1,X2)|~ord_less(nat,ti(nat,X1),X2))). 0.19/0.47 cnf(i_0_119, plain, (X1=X2|plus_plus(int,X1,X1)!=plus_plus(int,X2,X2))). 0.19/0.47 cnf(i_0_35, plain, (ord_less(int,X1,pls)|~ord_less(int,plus_plus(int,X1,X1),pls))). 0.19/0.47 cnf(i_0_23, plain, (number_number_of(X1,one_one(int))=one_one(X1)|~number_ring(X1))). 0.19/0.47 cnf(i_0_135, plain, (ti(X1,zero_zero(X1))=zero_zero(X1)|~semiring_0(X1)|~power(X1))). 0.19/0.47 cnf(i_0_165, plain, (ord_less(int,pls,X1)|~ord_less(int,pls,plus_plus(int,X1,X1)))). 0.19/0.47 cnf(i_0_69, plain, (ord_less(X1,X2,X3)|~linordered_idom(X1)|~ord_less(X1,X2,ti(X1,X3)))). 0.19/0.47 cnf(i_0_49, plain, (ord_less(X1,X2,X3)|~linordered_idom(X1)|~ord_less(X1,ti(X1,X2),X3))). 0.19/0.47 cnf(i_0_186, plain, (X1=X2|number_number_of(X3,X1)!=number_number_of(X3,X2)|~ring_char_0(X3)|~number_ring(X3))). 0.19/0.47 cnf(i_0_95, plain, (ti(X1,one_one(X1))=one_one(X1)|~semiring_0(X1)|~power(X1))). 0.19/0.47 cnf(i_0_72, plain, (number_number_of(X1,semiring_1_of_nat(int,X2))=semiring_1_of_nat(X1,X2)|~number_semiring(X1))). 0.19/0.47 cnf(i_0_188, plain, (ord_less(int,X1,X2)|~ord_less(int,number_number_of(int,X1),number_number_of(int,X2)))). 0.19/0.47 cnf(i_0_38, plain, (ord_less(nat,X1,ti(nat,X2))|~ord_less(nat,X1,X2))). 0.19/0.47 cnf(i_0_79, plain, (ord_less(nat,ti(nat,X1),X2)|~ord_less(nat,X1,X2))). 0.19/0.47 cnf(i_0_157, plain, (semiring_1_of_nat(X1,ti(nat,X2))=semiring_1_of_nat(X1,X2)|~number_semiring(X1))). 0.19/0.47 cnf(i_0_44, plain, (plus_plus(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,X2)|~ord_less(int,X1,pls))). 0.19/0.47 cnf(i_0_133, plain, (X1=X2|plus_plus(int,X1,plus_plus(int,one_one(int),X1))!=plus_plus(int,X2,plus_plus(int,one_one(int),X2)))). 0.19/0.47 cnf(i_0_16, plain, (ord_less(int,X1,pls)|~ord_less(int,plus_plus(int,X1,plus_plus(int,one_one(int),X1)),pls))). 0.19/0.47 cnf(i_0_130, plain, (ti(X1,zero_zero(X1))=zero_zero(X1)|~zero_neq_one(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1))). 0.19/0.47 cnf(i_0_85, plain, (ti(X1,semiring_1_of_nat(X1,X2))=semiring_1_of_nat(X1,X2)|~number_semiring(X1))). 0.19/0.47 cnf(i_0_96, plain, (ord_less(int,X1,X2)|~ord_less(int,plus_plus(int,X1,X1),plus_plus(int,X2,X2)))). 0.19/0.47 cnf(i_0_176, plain, (ord_less(int,X1,pls)|~number_ring(X2)|~linordered_idom(X2)|~ord_less(X2,number_number_of(X2,X1),zero_zero(X2)))). 0.19/0.47 cnf(i_0_164, plain, (ord_less(int,pls,plus_plus(int,X1,X1))|~ord_less(int,pls,X1))). 0.19/0.47 cnf(i_0_34, plain, (ord_less(int,plus_plus(int,X1,X1),pls)|~ord_less(int,X1,pls))). 0.19/0.47 cnf(i_0_191, plain, (number_number_of(X1,ti(int,X2))=number_number_of(X1,X2)|~number(X1))). 0.19/0.47 cnf(i_0_61, plain, (ord_less(int,pls,X1)|~number_ring(X2)|~linordered_idom(X2)|~ord_less(X2,zero_zero(X2),number_number_of(X2,X1)))). 0.19/0.47 cnf(i_0_108, plain, (ti(X1,number_number_of(X1,X2))=number_number_of(X1,X2)|~number(X1))). 0.19/0.47 cnf(i_0_68, plain, (ord_less(X1,X2,ti(X1,X3))|~linordered_idom(X1)|~ord_less(X1,X2,X3))). 0.19/0.47 cnf(i_0_50, plain, (ord_less(X1,ti(X1,X2),X3)|~linordered_idom(X1)|~ord_less(X1,X2,X3))). 0.19/0.47 cnf(i_0_189, plain, (ord_less(int,number_number_of(int,X1),number_number_of(int,X2))|~ord_less(int,X1,X2))). 0.19/0.47 cnf(i_0_15, plain, (ord_less(int,plus_plus(int,X1,plus_plus(int,one_one(int),X1)),pls)|~ord_less(int,X1,pls))). 0.19/0.47 cnf(i_0_11, plain, (ord_less(int,X1,plus_plus(int,X2,one_one(int)))|~ord_less(int,X1,X2))). 0.19/0.47 cnf(i_0_180, plain, (plus_plus(X1,X2,X2)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 0.19/0.47 cnf(i_0_53, plain, (plus_plus(X1,X2,number_number_of(X1,pls))=ti(X1,X2)|~number_ring(X1))). 0.19/0.47 cnf(i_0_4, plain, (ord_less(X1,X2,zero_zero(X1))|~linordered_idom(X1)|~ord_less(X1,plus_plus(X1,X2,X2),zero_zero(X1)))). 0.19/0.47 cnf(i_0_181, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,X2,X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 0.19/0.47 cnf(i_0_143, plain, (ord_less(int,X1,X2)|~number_ring(X3)|~linordered_idom(X3)|~ord_less(X3,number_number_of(X3,X1),number_number_of(X3,X2)))). 0.19/0.47 cnf(i_0_12, plain, (X1=X2|ord_less(int,X1,X2)|~ord_less(int,X1,plus_plus(int,X2,one_one(int))))). 0.19/0.47 cnf(i_0_174, plain, (plus_plus(X1,number_number_of(X1,pls),X2)=ti(X1,X2)|~number_ring(X1))). 0.19/0.47 cnf(i_0_169, plain, (power_power(X1,zero_zero(X1),plus_plus(nat,one_one(nat),one_one(nat)))=zero_zero(X1)|~semiring_1(X1))). 0.19/0.47 cnf(i_0_112, plain, (power_power(X1,one_one(X1),plus_plus(nat,one_one(nat),one_one(nat)))=one_one(X1)|~semiring_1(X1))). 0.19/0.47 cnf(i_0_163, plain, (X1=X2|ord_less(int,X1,X2)|ord_less(int,X2,X1))). 0.19/0.47 cnf(i_0_197, plain, (plus_plus(X1,X2,ti(X1,X3))=plus_plus(X1,X2,X3)|~number_semiring(X1))). 0.19/0.47 cnf(i_0_93, plain, (power_power(X1,X2,number_number_of(nat,X3))!=zero_zero(X1)|number_number_of(nat,pls)!=number_number_of(nat,X3)|~zero_neq_one(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1))). 0.19/0.47 cnf(i_0_182, plain, (plus_plus(X1,ti(X1,X2),X3)=plus_plus(X1,X2,X3)|~number_semiring(X1))). 0.19/0.47 cnf(i_0_22, plain, (ti(X1,plus_plus(X1,X2,X3))=plus_plus(X1,X2,X3)|~number_semiring(X1))). 0.19/0.47 cnf(i_0_196, plain, (plus_plus(X1,X2,ti(X1,X3))=plus_plus(X1,X2,X3)|~linord219039673up_add(X1))). 0.19/0.47 cnf(i_0_146, plain, (~linordered_idom(X1)|~ord_less(X1,power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat))),zero_zero(X1)))). 0.19/0.47 cnf(i_0_43, plain, (plus_plus(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,X1)|ord_less(int,X1,pls)|~ord_less(int,X2,pls))). 0.19/0.47 cnf(i_0_100, plain, (power_power(X1,zero_zero(X1),number_number_of(nat,X2))=zero_zero(X1)|number_number_of(nat,X2)=number_number_of(nat,pls)|~semiring_0(X1)|~power(X1))). 0.19/0.47 cnf(i_0_140, plain, (plus_plus(X1,ti(X1,X2),X3)=plus_plus(X1,X2,X3)|~linord219039673up_add(X1))). 0.19/0.47 cnf(i_0_126, plain, (ti(X1,plus_plus(X1,X2,X3))=plus_plus(X1,X2,X3)|~linord219039673up_add(X1))). 0.19/0.47 cnf(i_0_99, plain, (ord_less(int,X1,X2)|~ord_less(int,plus_plus(int,X1,plus_plus(int,one_one(int),X1)),plus_plus(int,X2,X2)))). 0.19/0.47 cnf(i_0_92, plain, (ti(X1,X2)=zero_zero(X1)|power_power(X1,X2,number_number_of(nat,X3))!=zero_zero(X1)|~zero_neq_one(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1))). 0.19/0.47 cnf(i_0_1, plain, (power_power(X1,X2,ti(nat,X3))=power_power(X1,X2,X3)|~semiring_0(X1)|~power(X1))). 0.19/0.47 cnf(i_0_153, plain, (ti(X1,X2)=zero_zero(X1)|power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat)))!=zero_zero(X1)|~ring_11004092258visors(X1))). 0.19/0.47 cnf(i_0_101, plain, (power_power(X1,zero_zero(X1),number_number_of(nat,X2))=one_one(X1)|number_number_of(nat,X2)!=number_number_of(nat,pls)|~semiring_0(X1)|~power(X1))). 0.19/0.47 cnf(i_0_110, plain, (ord_less(int,X1,X2)|~ord_less(int,plus_plus(int,X1,plus_plus(int,one_one(int),X1)),plus_plus(int,X2,plus_plus(int,one_one(int),X2))))). 0.19/0.47 cnf(i_0_21, plain, (power_power(X1,ti(X1,X2),X3)=power_power(X1,X2,X3)|~semiring_0(X1)|~power(X1))). 0.19/0.47 cnf(i_0_111, plain, (ord_less(int,plus_plus(int,X1,X2),plus_plus(int,X3,X2))|~ord_less(int,X1,X3))). 0.19/0.47 cnf(i_0_88, plain, (ti(X1,power_power(X1,X2,X3))=power_power(X1,X2,X3)|~semiring_0(X1)|~power(X1))). 0.19/0.47 cnf(i_0_60, plain, (ord_less(X1,zero_zero(X1),number_number_of(X1,X2))|~number_ring(X1)|~linordered_idom(X1)|~ord_less(int,pls,X2))). 0.19/0.47 cnf(i_0_175, plain, (ord_less(X1,number_number_of(X1,X2),zero_zero(X1))|~number_ring(X1)|~linordered_idom(X1)|~ord_less(int,X2,pls))). 0.19/0.47 cnf(i_0_3, plain, (ord_less(X1,plus_plus(X1,X2,X2),zero_zero(X1))|~linordered_idom(X1)|~ord_less(X1,X2,zero_zero(X1)))). 0.19/0.47 cnf(i_0_97, plain, (ord_less(int,plus_plus(int,X1,X1),plus_plus(int,X2,X2))|~ord_less(int,X1,X2))). 0.19/0.47 cnf(i_0_145, plain, (number_number_of(X1,plus_plus(int,one_one(int),one_one(int)))=plus_plus(X1,one_one(X1),one_one(X1))|~number_semiring(X1))). 0.19/0.47 cnf(i_0_13, plain, (number_number_of(X1,plus_plus(int,one_one(int),one_one(int)))=plus_plus(X1,one_one(X1),one_one(X1))|~number_ring(X1))). 0.19/0.47 cnf(i_0_152, plain, (power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat)))=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~ring_11004092258visors(X1))). 0.19/0.47 cnf(i_0_94, plain, (power_power(X1,X2,number_number_of(nat,X3))=zero_zero(X1)|number_number_of(nat,pls)=number_number_of(nat,X3)|ti(X1,X2)!=zero_zero(X1)|~zero_neq_one(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1))). 0.19/0.47 cnf(i_0_17, plain, (plus_plus(X1,number_number_of(X1,X2),number_number_of(X1,X3))=number_number_of(X1,plus_plus(int,X2,X3))|~number_ring(X1))). 0.19/0.47 cnf(i_0_144, plain, (ord_less(X1,number_number_of(X1,X2),number_number_of(X1,X3))|~number_ring(X1)|~linordered_idom(X1)|~ord_less(int,X2,X3))). 0.19/0.47 cnf(i_0_198, plain, (power_power(X1,X2,ti(nat,X3))=power_power(X1,X2,X3)|~zero_neq_one(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1))). 0.19/0.47 cnf(i_0_127, plain, (power_power(X1,ti(X1,X2),X3)=power_power(X1,X2,X3)|~zero_neq_one(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1))). 0.19/0.47 cnf(i_0_123, plain, (ti(X1,power_power(X1,X2,X3))=power_power(X1,X2,X3)|~zero_neq_one(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1))). 0.19/0.47 cnf(i_0_42, plain, (plus_plus(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,plus_plus(int,X1,X2))|ord_less(int,X2,pls)|ord_less(int,X1,pls))). 0.19/0.47 cnf(i_0_87, plain, (ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1)|~ord_less(X1,zero_zero(X1),power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat)))))). 0.19/0.47 cnf(i_0_98, plain, (ord_less(int,plus_plus(int,X1,plus_plus(int,one_one(int),X1)),plus_plus(int,X2,X2))|~ord_less(int,X1,X2))). 0.19/0.47 cnf(i_0_83, plain, (ord_less(int,X1,one_one(int))|~number_ring(X2)|~linordered_idom(X2)|~ord_less(X2,number_number_of(X2,X1),one_one(X2)))). 0.19/0.47 cnf(i_0_36, plain, (ord_less(X1,one_one(X1),number_number_of(X1,X2))|~number_ring(X1)|~linordered_idom(X1)|~ord_less(int,one_one(int),X2))). 0.19/0.47 cnf(i_0_82, plain, (ord_less(X1,number_number_of(X1,X2),one_one(X1))|~number_ring(X1)|~linordered_idom(X1)|~ord_less(int,X2,one_one(int)))). 0.19/0.47 cnf(i_0_37, plain, (ord_less(int,one_one(int),X1)|~number_ring(X2)|~linordered_idom(X2)|~ord_less(X2,one_one(X2),number_number_of(X2,X1)))). 0.19/0.47 cnf(i_0_103, plain, (plus_plus(X1,number_number_of(X1,X2),plus_plus(X1,number_number_of(X1,X3),X4))=plus_plus(X1,number_number_of(X1,plus_plus(int,X2,X3)),X4)|~number_ring(X1))). 0.19/0.47 cnf(i_0_183, plain, (plus_plus(X1,one_one(X1),number_number_of(X1,X2))=number_number_of(X1,plus_plus(int,one_one(int),X2))|~number_ring(X1))). 0.19/0.47 cnf(i_0_148, plain, (plus_plus(X1,number_number_of(X1,X2),one_one(X1))=number_number_of(X1,plus_plus(int,X2,one_one(int)))|~number_ring(X1))). 0.19/0.47 cnf(i_0_109, plain, (ord_less(int,plus_plus(int,X1,plus_plus(int,one_one(int),X1)),plus_plus(int,X2,plus_plus(int,one_one(int),X2)))|~ord_less(int,X1,X2))). 0.19/0.47 cnf(i_0_24, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,power_power(X1,X3,plus_plus(nat,one_one(nat),one_one(nat))),power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat))))!=zero_zero(X1)|~linordered_idom(X1))). 0.19/0.47 cnf(i_0_25, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat))),power_power(X1,X3,plus_plus(nat,one_one(nat),one_one(nat))))!=zero_zero(X1)|~linordered_idom(X1))). 0.19/0.47 cnf(i_0_29, plain, (ti(X1,X2)!=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|~linordered_idom(X1)|~ord_less(X1,zero_zero(X1),plus_plus(X1,power_power(X1,X3,plus_plus(nat,one_one(nat),one_one(nat))),power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat))))))). 0.19/0.47 cnf(i_0_86, plain, (ti(X1,X2)=zero_zero(X1)|ord_less(X1,zero_zero(X1),power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat))))|~linordered_idom(X1))). 0.19/0.47 cnf(i_0_26, plain, (plus_plus(X1,power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat))),power_power(X1,X3,plus_plus(nat,one_one(nat),one_one(nat))))=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1))). 0.19/0.47 cnf(i_0_27, plain, (ti(X1,X2)=zero_zero(X1)|ord_less(X1,zero_zero(X1),plus_plus(X1,power_power(X1,X3,plus_plus(nat,one_one(nat),one_one(nat))),power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat)))))|~linordered_idom(X1))). 0.19/0.47 cnf(i_0_28, plain, (ti(X1,X2)=zero_zero(X1)|ord_less(X1,zero_zero(X1),plus_plus(X1,power_power(X1,X2,plus_plus(nat,one_one(nat),one_one(nat))),power_power(X1,X3,plus_plus(nat,one_one(nat),one_one(nat)))))|~linordered_idom(X1))). 0.19/0.47 cnf(i_0_482, plain, (X243=X243)). 0.19/0.47 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.19/0.47 # Begin printing tableau 0.19/0.47 # Found 5 steps 0.19/0.47 cnf(i_0_54, plain, (zero_zero(int)=pls), inference(start_rule)). 0.19/0.47 cnf(i_0_508, plain, (zero_zero(int)=pls), inference(extension_rule, [i_0_502])). 0.19/0.47 cnf(i_0_1182, plain, (undefined(zero_zero(int))=undefined(pls)), inference(extension_rule, [i_0_485])). 0.19/0.47 cnf(i_0_1483, plain, (undefined(pls)!=plus_plus(int,pls,undefined(pls))), inference(closure_rule, [i_0_106])). 0.19/0.47 cnf(i_0_1481, plain, (undefined(zero_zero(int))=plus_plus(int,pls,undefined(pls))), inference(etableau_closure_rule, [i_0_1481, ...])). 0.19/0.47 # End printing tableau 0.19/0.47 # SZS output end 0.19/0.47 # Branches closed with saturation will be marked with an "s" 0.19/0.47 # Child (7135) has found a proof. 0.19/0.47 0.19/0.47 # Proof search is over... 0.19/0.47 # Freeing feature tree 0.19/0.48 EOF