TSTP Solution File: SEU090+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU090+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 : 300s
% DateTime : Thu Aug 31 16:17:27 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU090+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 15:53:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % File :CSE---1.6
% 0.20/0.62 % Problem :theBenchmark
% 0.20/0.62 % Transform :cnf
% 0.20/0.62 % Format :tptp:raw
% 0.20/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.62
% 0.20/0.62 % Result :Theorem 0.000000s
% 0.20/0.62 % Output :CNFRefutation 0.000000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 % File : SEU090+1 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.62 % Domain : Set theory
% 0.20/0.62 % Problem : Finite sets, theorem 21
% 0.20/0.62 % Version : [Urb06] axioms : Especial.
% 0.20/0.62 % English :
% 0.20/0.62
% 0.20/0.62 % Refs : [Dar90] Darmochwal (1990), Finite Sets
% 0.20/0.62 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.20/0.62 % Source : [Urb06]
% 0.20/0.62 % Names : finset_1__t21_finset_1 [Urb06]
% 0.20/0.62
% 0.20/0.62 % Status : Theorem
% 0.20/0.62 % Rating : 0.14 v7.5.0, 0.12 v7.4.0, 0.10 v7.1.0, 0.17 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.35 v4.0.0, 0.33 v3.7.0, 0.35 v3.5.0, 0.26 v3.4.0, 0.37 v3.3.0, 0.21 v3.2.0
% 0.20/0.62 % Syntax : Number of formulae : 63 ( 8 unt; 0 def)
% 0.20/0.62 % Number of atoms : 203 ( 3 equ)
% 0.20/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.20/0.62 % Number of connectives : 169 ( 29 ~; 1 |; 108 &)
% 0.20/0.62 % ( 1 <=>; 30 =>; 0 <=; 0 <~>)
% 0.20/0.62 % Maximal formula depth : 12 ( 5 avg)
% 0.20/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.62 % Number of predicates : 19 ( 18 usr; 0 prp; 1-2 aty)
% 0.20/0.62 % Number of functors : 6 ( 6 usr; 2 con; 0-4 aty)
% 0.20/0.62 % Number of variables : 96 ( 70 !; 26 ?)
% 0.20/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.62
% 0.20/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.62 % library, www.mizar.org
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.62 ! [A,B] :
% 0.20/0.62 ( in(A,B)
% 0.20/0.62 => ~ in(B,A) ) ).
% 0.20/0.62
% 0.20/0.62 fof(cc1_arytm_3,axiom,
% 0.20/0.62 ! [A] :
% 0.20/0.62 ( ordinal(A)
% 0.20/0.62 => ! [B] :
% 0.20/0.62 ( element(B,A)
% 0.20/0.62 => ( epsilon_transitive(B)
% 0.20/0.62 & epsilon_connected(B)
% 0.20/0.62 & ordinal(B) ) ) ) ).
% 0.20/0.62
% 0.20/0.62 fof(cc1_finset_1,axiom,
% 0.20/0.62 ! [A] :
% 0.20/0.62 ( empty(A)
% 0.20/0.63 => finite(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc1_funct_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( empty(A)
% 0.20/0.63 => function(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc1_ordinal1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( ordinal(A)
% 0.20/0.63 => ( epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc1_relat_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( empty(A)
% 0.20/0.63 => relation(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc1_relset_1,axiom,
% 0.20/0.63 ! [A,B,C] :
% 0.20/0.63 ( element(C,powerset(cartesian_product2(A,B)))
% 0.20/0.63 => relation(C) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc2_arytm_3,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( ( empty(A)
% 0.20/0.63 & ordinal(A) )
% 0.20/0.63 => ( epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A)
% 0.20/0.63 & natural(A) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc2_finset_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( finite(A)
% 0.20/0.63 => ! [B] :
% 0.20/0.63 ( element(B,powerset(A))
% 0.20/0.63 => finite(B) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc2_funct_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( ( relation(A)
% 0.20/0.63 & empty(A)
% 0.20/0.63 & function(A) )
% 0.20/0.63 => ( relation(A)
% 0.20/0.63 & function(A)
% 0.20/0.63 & one_to_one(A) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc2_ordinal1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( ( epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A) )
% 0.20/0.63 => ordinal(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc3_ordinal1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( empty(A)
% 0.20/0.63 => ( epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(cc4_arytm_3,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( element(A,positive_rationals)
% 0.20/0.63 => ( ordinal(A)
% 0.20/0.63 => ( epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A)
% 0.20/0.63 & natural(A) ) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(d4_zfmisc_1,axiom,
% 0.20/0.63 ! [A,B,C,D] : cartesian_product4(A,B,C,D) = cartesian_product2(cartesian_product3(A,B,C),D) ).
% 0.20/0.63
% 0.20/0.63 fof(existence_m1_subset_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ? [B] : element(B,A) ).
% 0.20/0.63
% 0.20/0.63 fof(fc12_relat_1,axiom,
% 0.20/0.63 ( empty(empty_set)
% 0.20/0.63 & relation(empty_set)
% 0.20/0.63 & relation_empty_yielding(empty_set) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc14_finset_1,axiom,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( ( finite(A)
% 0.20/0.63 & finite(B) )
% 0.20/0.63 => finite(cartesian_product2(A,B)) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc15_finset_1,axiom,
% 0.20/0.63 ! [A,B,C] :
% 0.20/0.63 ( ( finite(A)
% 0.20/0.63 & finite(B)
% 0.20/0.63 & finite(C) )
% 0.20/0.63 => finite(cartesian_product3(A,B,C)) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc1_subset_1,axiom,
% 0.20/0.63 ! [A] : ~ empty(powerset(A)) ).
% 0.20/0.63
% 0.20/0.63 fof(fc1_xboole_0,axiom,
% 0.20/0.63 empty(empty_set) ).
% 0.20/0.63
% 0.20/0.63 fof(fc2_ordinal1,axiom,
% 0.20/0.63 ( relation(empty_set)
% 0.20/0.63 & relation_empty_yielding(empty_set)
% 0.20/0.63 & function(empty_set)
% 0.20/0.63 & one_to_one(empty_set)
% 0.20/0.63 & empty(empty_set)
% 0.20/0.63 & epsilon_transitive(empty_set)
% 0.20/0.63 & epsilon_connected(empty_set)
% 0.20/0.63 & ordinal(empty_set) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc4_relat_1,axiom,
% 0.20/0.63 ( empty(empty_set)
% 0.20/0.63 & relation(empty_set) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc4_subset_1,axiom,
% 0.20/0.63 ! [A,B] :
% 0.20/0.63 ( ( ~ empty(A)
% 0.20/0.63 & ~ empty(B) )
% 0.20/0.63 => ~ empty(cartesian_product2(A,B)) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc5_subset_1,axiom,
% 0.20/0.63 ! [A,B,C] :
% 0.20/0.63 ( ( ~ empty(A)
% 0.20/0.63 & ~ empty(B)
% 0.20/0.63 & ~ empty(C) )
% 0.20/0.63 => ~ empty(cartesian_product3(A,B,C)) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc6_subset_1,axiom,
% 0.20/0.63 ! [A,B,C,D] :
% 0.20/0.63 ( ( ~ empty(A)
% 0.20/0.63 & ~ empty(B)
% 0.20/0.63 & ~ empty(C)
% 0.20/0.63 & ~ empty(D) )
% 0.20/0.63 => ~ empty(cartesian_product4(A,B,C,D)) ) ).
% 0.20/0.63
% 0.20/0.63 fof(fc8_arytm_3,axiom,
% 0.20/0.63 ~ empty(positive_rationals) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_arytm_3,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( ~ empty(A)
% 0.20/0.63 & epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A)
% 0.20/0.63 & natural(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_finset_1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( ~ empty(A)
% 0.20/0.63 & finite(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_funcop_1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( relation(A)
% 0.20/0.63 & function(A)
% 0.20/0.63 & function_yielding(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_funct_1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( relation(A)
% 0.20/0.63 & function(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_ordinal1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_ordinal2,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A)
% 0.20/0.63 & being_limit_ordinal(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_relat_1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( empty(A)
% 0.20/0.63 & relation(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_subset_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( ~ empty(A)
% 0.20/0.63 => ? [B] :
% 0.20/0.63 ( element(B,powerset(A))
% 0.20/0.63 & ~ empty(B) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc1_xboole_0,axiom,
% 0.20/0.63 ? [A] : empty(A) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_arytm_3,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( element(A,positive_rationals)
% 0.20/0.63 & ~ empty(A)
% 0.20/0.63 & epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_finset_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ? [B] :
% 0.20/0.63 ( element(B,powerset(A))
% 0.20/0.63 & empty(B)
% 0.20/0.63 & relation(B)
% 0.20/0.63 & function(B)
% 0.20/0.63 & one_to_one(B)
% 0.20/0.63 & epsilon_transitive(B)
% 0.20/0.63 & epsilon_connected(B)
% 0.20/0.63 & ordinal(B)
% 0.20/0.63 & natural(B)
% 0.20/0.63 & finite(B) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_funct_1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( relation(A)
% 0.20/0.63 & empty(A)
% 0.20/0.63 & function(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_ordinal1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( relation(A)
% 0.20/0.63 & function(A)
% 0.20/0.63 & one_to_one(A)
% 0.20/0.63 & empty(A)
% 0.20/0.63 & epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_ordinal2,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( relation(A)
% 0.20/0.63 & function(A)
% 0.20/0.63 & transfinite_sequence(A)
% 0.20/0.63 & ordinal_yielding(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_relat_1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( ~ empty(A)
% 0.20/0.63 & relation(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_subset_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ? [B] :
% 0.20/0.63 ( element(B,powerset(A))
% 0.20/0.63 & empty(B) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc2_xboole_0,axiom,
% 0.20/0.63 ? [A] : ~ empty(A) ).
% 0.20/0.63
% 0.20/0.63 fof(rc3_arytm_3,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.63 ( element(A,positive_rationals)
% 0.20/0.63 & empty(A)
% 0.20/0.63 & epsilon_transitive(A)
% 0.20/0.63 & epsilon_connected(A)
% 0.20/0.63 & ordinal(A)
% 0.20/0.63 & natural(A) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc3_finset_1,axiom,
% 0.20/0.63 ! [A] :
% 0.20/0.63 ( ~ empty(A)
% 0.20/0.63 => ? [B] :
% 0.20/0.63 ( element(B,powerset(A))
% 0.20/0.63 & ~ empty(B)
% 0.20/0.63 & finite(B) ) ) ).
% 0.20/0.63
% 0.20/0.63 fof(rc3_funct_1,axiom,
% 0.20/0.63 ? [A] :
% 0.20/0.64 ( relation(A)
% 0.20/0.64 & function(A)
% 0.20/0.64 & one_to_one(A) ) ).
% 0.20/0.64
% 0.20/0.64 fof(rc3_ordinal1,axiom,
% 0.20/0.64 ? [A] :
% 0.20/0.64 ( ~ empty(A)
% 0.20/0.64 & epsilon_transitive(A)
% 0.20/0.64 & epsilon_connected(A)
% 0.20/0.64 & ordinal(A) ) ).
% 0.20/0.64
% 0.20/0.64 fof(rc3_relat_1,axiom,
% 0.20/0.64 ? [A] :
% 0.20/0.64 ( relation(A)
% 0.20/0.64 & relation_empty_yielding(A) ) ).
% 0.20/0.64
% 0.20/0.64 fof(rc4_funct_1,axiom,
% 0.20/0.64 ? [A] :
% 0.20/0.64 ( relation(A)
% 0.20/0.64 & relation_empty_yielding(A)
% 0.20/0.64 & function(A) ) ).
% 0.20/0.64
% 0.20/0.64 fof(rc4_ordinal1,axiom,
% 0.20/0.64 ? [A] :
% 0.20/0.64 ( relation(A)
% 0.20/0.64 & function(A)
% 0.20/0.64 & transfinite_sequence(A) ) ).
% 0.20/0.64
% 0.20/0.64 fof(rc5_funct_1,axiom,
% 0.20/0.64 ? [A] :
% 0.20/0.64 ( relation(A)
% 0.20/0.64 & relation_non_empty(A)
% 0.20/0.64 & function(A) ) ).
% 0.20/0.64
% 0.20/0.64 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.64 ! [A,B] : subset(A,A) ).
% 0.20/0.64
% 0.20/0.64 fof(t19_finset_1,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( ( finite(A)
% 0.20/0.64 & finite(B) )
% 0.20/0.64 => finite(cartesian_product2(A,B)) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t1_subset,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( in(A,B)
% 0.20/0.64 => element(A,B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t20_finset_1,axiom,
% 0.20/0.64 ! [A,B,C] :
% 0.20/0.64 ( ( finite(A)
% 0.20/0.64 & finite(B)
% 0.20/0.64 & finite(C) )
% 0.20/0.64 => finite(cartesian_product3(A,B,C)) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t21_finset_1,conjecture,
% 0.20/0.64 ! [A,B,C,D] :
% 0.20/0.64 ( ( finite(A)
% 0.20/0.64 & finite(B)
% 0.20/0.64 & finite(C)
% 0.20/0.64 & finite(D) )
% 0.20/0.64 => finite(cartesian_product4(A,B,C,D)) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t2_subset,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( element(A,B)
% 0.20/0.64 => ( empty(B)
% 0.20/0.64 | in(A,B) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t3_subset,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ( element(A,powerset(B))
% 0.20/0.64 <=> subset(A,B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t4_subset,axiom,
% 0.20/0.64 ! [A,B,C] :
% 0.20/0.64 ( ( in(A,B)
% 0.20/0.64 & element(B,powerset(C)) )
% 0.20/0.64 => element(A,C) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t5_subset,axiom,
% 0.20/0.64 ! [A,B,C] :
% 0.20/0.64 ~ ( in(A,B)
% 0.20/0.64 & element(B,powerset(C))
% 0.20/0.64 & empty(C) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t6_boole,axiom,
% 0.20/0.64 ! [A] :
% 0.20/0.64 ( empty(A)
% 0.20/0.64 => A = empty_set ) ).
% 0.20/0.64
% 0.20/0.64 fof(t7_boole,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ~ ( in(A,B)
% 0.20/0.64 & empty(B) ) ).
% 0.20/0.64
% 0.20/0.64 fof(t8_boole,axiom,
% 0.20/0.64 ! [A,B] :
% 0.20/0.64 ~ ( empty(A)
% 0.20/0.64 & A != B
% 0.20/0.64 & empty(B) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:181(EqnAxiom:35)
% 0.20/0.64 %VarNum:149(SingletonVarNum:78)
% 0.20/0.64 %MaxLitNum:5
% 0.20/0.64 %MaxfuncDepth:2
% 0.20/0.64 %SharedTerms:111
% 0.20/0.64 %goalClause: 70 71 72 73 138
% 0.20/0.64 %singleGoalClaCount:5
% 0.20/0.64 [36]P1(a1)
% 0.20/0.64 [37]P1(a4)
% 0.20/0.64 [38]P1(a26)
% 0.20/0.64 [39]P1(a31)
% 0.20/0.64 [40]P1(a5)
% 0.20/0.64 [41]P1(a7)
% 0.20/0.64 [42]P1(a10)
% 0.20/0.64 [43]P1(a15)
% 0.20/0.64 [44]P2(a1)
% 0.20/0.64 [45]P2(a4)
% 0.20/0.64 [46]P2(a26)
% 0.20/0.64 [47]P2(a31)
% 0.20/0.64 [48]P2(a5)
% 0.20/0.64 [49]P2(a7)
% 0.20/0.64 [50]P2(a10)
% 0.20/0.64 [51]P2(a15)
% 0.20/0.64 [52]P3(a1)
% 0.20/0.64 [53]P3(a4)
% 0.20/0.64 [54]P3(a26)
% 0.20/0.64 [55]P3(a31)
% 0.20/0.64 [56]P3(a5)
% 0.20/0.64 [57]P3(a7)
% 0.20/0.64 [58]P3(a10)
% 0.20/0.64 [59]P3(a15)
% 0.20/0.64 [63]P4(a1)
% 0.20/0.64 [64]P4(a32)
% 0.20/0.64 [65]P4(a6)
% 0.20/0.64 [66]P4(a8)
% 0.20/0.64 [67]P4(a7)
% 0.20/0.64 [68]P4(a10)
% 0.20/0.64 [69]P7(a27)
% 0.20/0.64 [70]P7(a19)
% 0.20/0.64 [71]P7(a24)
% 0.20/0.64 [72]P7(a25)
% 0.20/0.64 [73]P7(a28)
% 0.20/0.64 [74]P8(a1)
% 0.20/0.64 [75]P8(a29)
% 0.20/0.64 [76]P8(a30)
% 0.20/0.64 [77]P8(a8)
% 0.20/0.64 [78]P8(a7)
% 0.20/0.64 [79]P8(a11)
% 0.20/0.64 [80]P8(a16)
% 0.20/0.64 [81]P8(a20)
% 0.20/0.64 [82]P8(a22)
% 0.20/0.64 [83]P8(a23)
% 0.20/0.64 [86]P13(a1)
% 0.20/0.64 [87]P13(a29)
% 0.20/0.64 [88]P13(a30)
% 0.20/0.64 [89]P13(a32)
% 0.20/0.64 [90]P13(a8)
% 0.20/0.64 [91]P13(a7)
% 0.20/0.64 [92]P13(a11)
% 0.20/0.64 [93]P13(a12)
% 0.20/0.64 [94]P13(a16)
% 0.20/0.64 [95]P13(a21)
% 0.20/0.64 [96]P13(a20)
% 0.20/0.64 [97]P13(a22)
% 0.20/0.64 [98]P13(a23)
% 0.20/0.64 [99]P9(a4)
% 0.20/0.64 [100]P9(a10)
% 0.20/0.64 [101]P12(a1)
% 0.20/0.64 [102]P12(a7)
% 0.20/0.64 [103]P12(a16)
% 0.20/0.64 [105]P15(a1)
% 0.20/0.64 [106]P15(a21)
% 0.20/0.64 [107]P15(a20)
% 0.20/0.64 [108]P10(a29)
% 0.20/0.64 [109]P5(a31)
% 0.20/0.64 [110]P16(a11)
% 0.20/0.64 [111]P16(a22)
% 0.20/0.64 [112]P14(a11)
% 0.20/0.64 [113]P17(a23)
% 0.20/0.64 [124]P6(a5,a33)
% 0.20/0.64 [125]P6(a10,a33)
% 0.20/0.64 [130]~P4(a33)
% 0.20/0.64 [131]~P4(a4)
% 0.20/0.64 [132]~P4(a27)
% 0.20/0.64 [133]~P4(a5)
% 0.20/0.64 [134]~P4(a12)
% 0.20/0.64 [135]~P4(a14)
% 0.20/0.64 [136]~P4(a15)
% 0.20/0.64 [138]~P7(f3(f2(a19,a24,a25),a28))
% 0.20/0.64 [126]P18(x1261,x1261)
% 0.20/0.64 [114]P1(f9(x1141))
% 0.20/0.64 [115]P2(f9(x1151))
% 0.20/0.64 [116]P3(f9(x1161))
% 0.20/0.64 [117]P4(f9(x1171))
% 0.20/0.64 [118]P4(f13(x1181))
% 0.20/0.64 [119]P7(f9(x1191))
% 0.20/0.64 [120]P8(f9(x1201))
% 0.20/0.64 [121]P13(f9(x1211))
% 0.20/0.64 [122]P9(f9(x1221))
% 0.20/0.64 [123]P12(f9(x1231))
% 0.20/0.64 [127]P6(f17(x1271),x1271)
% 0.20/0.64 [128]P6(f9(x1281),f35(x1281))
% 0.20/0.64 [129]P6(f13(x1291),f35(x1291))
% 0.20/0.64 [137]~P4(f35(x1371))
% 0.20/0.64 [139]~P4(x1391)+E(x1391,a1)
% 0.20/0.64 [140]~P4(x1401)+P1(x1401)
% 0.20/0.64 [141]~P1(x1411)+P2(x1411)
% 0.20/0.64 [142]~P4(x1421)+P2(x1421)
% 0.20/0.64 [143]~P1(x1431)+P3(x1431)
% 0.20/0.64 [144]~P4(x1441)+P3(x1441)
% 0.20/0.64 [145]~P4(x1451)+P7(x1451)
% 0.20/0.64 [146]~P4(x1461)+P8(x1461)
% 0.20/0.64 [147]~P4(x1471)+P13(x1471)
% 0.20/0.64 [148]P4(x1481)+P7(f18(x1481))
% 0.20/0.64 [154]P4(x1541)+~P4(f34(x1541))
% 0.20/0.64 [155]P4(x1551)+~P4(f18(x1551))
% 0.20/0.64 [158]P4(x1581)+P6(f34(x1581),f35(x1581))
% 0.20/0.64 [159]P4(x1591)+P6(f18(x1591),f35(x1591))
% 0.20/0.64 [157]~P4(x1571)+~P11(x1572,x1571)
% 0.20/0.64 [166]~P11(x1661,x1662)+P6(x1661,x1662)
% 0.20/0.64 [172]~P11(x1722,x1721)+~P11(x1721,x1722)
% 0.20/0.64 [168]~P18(x1681,x1682)+P6(x1681,f35(x1682))
% 0.20/0.64 [173]P18(x1731,x1732)+~P6(x1731,f35(x1732))
% 0.20/0.64 [177]P13(x1771)+~P6(x1771,f35(f3(x1772,x1773)))
% 0.20/0.64 [150]~P2(x1501)+~P3(x1501)+P1(x1501)
% 0.20/0.64 [153]~P1(x1531)+~P4(x1531)+P9(x1531)
% 0.20/0.64 [162]~P1(x1621)+P9(x1621)+~P6(x1621,a33)
% 0.20/0.64 [149]~P4(x1492)+~P4(x1491)+E(x1491,x1492)
% 0.20/0.64 [163]~P6(x1631,x1632)+P1(x1631)+~P1(x1632)
% 0.20/0.64 [164]~P6(x1641,x1642)+P2(x1641)+~P1(x1642)
% 0.20/0.64 [165]~P6(x1651,x1652)+P3(x1651)+~P1(x1652)
% 0.20/0.64 [167]~P6(x1672,x1671)+P4(x1671)+P11(x1672,x1671)
% 0.20/0.64 [169]P7(x1691)+~P7(x1692)+~P6(x1691,f35(x1692))
% 0.20/0.64 [171]~P7(x1712)+~P7(x1711)+P7(f3(x1711,x1712))
% 0.20/0.64 [174]P4(x1741)+P4(x1742)+~P4(f3(x1742,x1741))
% 0.20/0.64 [175]~P4(x1751)+~P11(x1752,x1753)+~P6(x1753,f35(x1751))
% 0.20/0.64 [176]P6(x1761,x1762)+~P11(x1761,x1763)+~P6(x1763,f35(x1762))
% 0.20/0.64 [156]~P4(x1561)+~P8(x1561)+~P13(x1561)+P12(x1561)
% 0.20/0.64 [179]~P7(x1793)+~P7(x1792)+~P7(x1791)+P7(f2(x1791,x1792,x1793))
% 0.20/0.64 [180]P4(x1801)+P4(x1802)+P4(x1803)+~P4(f2(x1803,x1802,x1801))
% 0.20/0.64 [181]P4(x1811)+P4(x1812)+P4(x1813)+P4(x1814)+~P4(f3(f2(x1814,x1813,x1812),x1811))
% 0.20/0.64 %EqnAxiom
% 0.20/0.64 [1]E(x11,x11)
% 0.20/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.64 [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 0.20/0.64 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.20/0.64 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.20/0.64 [7]~E(x71,x72)+E(f2(x71,x73,x74),f2(x72,x73,x74))
% 0.20/0.64 [8]~E(x81,x82)+E(f2(x83,x81,x84),f2(x83,x82,x84))
% 0.20/0.64 [9]~E(x91,x92)+E(f2(x93,x94,x91),f2(x93,x94,x92))
% 0.20/0.64 [10]~E(x101,x102)+E(f35(x101),f35(x102))
% 0.20/0.64 [11]~E(x111,x112)+E(f13(x111),f13(x112))
% 0.20/0.64 [12]~E(x121,x122)+E(f34(x121),f34(x122))
% 0.20/0.64 [13]~E(x131,x132)+E(f18(x131),f18(x132))
% 0.20/0.64 [14]~E(x141,x142)+E(f17(x141),f17(x142))
% 0.20/0.64 [15]~P1(x151)+P1(x152)+~E(x151,x152)
% 0.20/0.64 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.20/0.64 [17]P6(x172,x173)+~E(x171,x172)+~P6(x171,x173)
% 0.20/0.64 [18]P6(x183,x182)+~E(x181,x182)+~P6(x183,x181)
% 0.20/0.64 [19]P11(x192,x193)+~E(x191,x192)+~P11(x191,x193)
% 0.20/0.64 [20]P11(x203,x202)+~E(x201,x202)+~P11(x203,x201)
% 0.20/0.64 [21]~P12(x211)+P12(x212)+~E(x211,x212)
% 0.20/0.64 [22]P18(x222,x223)+~E(x221,x222)+~P18(x221,x223)
% 0.20/0.64 [23]P18(x233,x232)+~E(x231,x232)+~P18(x233,x231)
% 0.20/0.64 [24]~P7(x241)+P7(x242)+~E(x241,x242)
% 0.20/0.64 [25]~P13(x251)+P13(x252)+~E(x251,x252)
% 0.20/0.64 [26]~P2(x261)+P2(x262)+~E(x261,x262)
% 0.20/0.64 [27]~P3(x271)+P3(x272)+~E(x271,x272)
% 0.20/0.64 [28]~P9(x281)+P9(x282)+~E(x281,x282)
% 0.20/0.64 [29]~P8(x291)+P8(x292)+~E(x291,x292)
% 0.20/0.64 [30]~P17(x301)+P17(x302)+~E(x301,x302)
% 0.20/0.64 [31]~P15(x311)+P15(x312)+~E(x311,x312)
% 0.20/0.64 [32]~P10(x321)+P10(x322)+~E(x321,x322)
% 0.20/0.64 [33]~P5(x331)+P5(x332)+~E(x331,x332)
% 0.20/0.64 [34]~P14(x341)+P14(x342)+~E(x341,x342)
% 0.20/0.64 [35]~P16(x351)+P16(x352)+~E(x351,x352)
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(188,plain,
% 0.20/0.64 (P6(f17(x1881),x1881)),
% 0.20/0.64 inference(rename_variables,[],[127])).
% 0.20/0.64 cnf(197,plain,
% 0.20/0.64 (P6(f17(x1971),x1971)),
% 0.20/0.64 inference(rename_variables,[],[127])).
% 0.20/0.64 cnf(206,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[70,71,72,73,36,40,63,66,77,90,124,130,138,127,188,197,129,157,145,177,173,167,162,153,175,169,171,156,179]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------