TSTP Solution File: SEU294+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 16:19:02 EDT 2023
% Result : Theorem 0.57s 0.72s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.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 23:19:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 % File :CSE---1.6
% 0.19/0.70 % Problem :theBenchmark
% 0.19/0.70 % Transform :cnf
% 0.19/0.70 % Format :tptp:raw
% 0.19/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.70
% 0.19/0.70 % Result :Theorem 0.080000s
% 0.19/0.70 % Output :CNFRefutation 0.080000s
% 0.19/0.70 %-------------------------------------------
% 0.19/0.71 %------------------------------------------------------------------------------
% 0.19/0.71 % File : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.71 % Domain : Set theory
% 0.19/0.71 % Problem : Finite sets, theorem 13
% 0.19/0.71 % Version : [Urb06] axioms : Especial.
% 0.19/0.71 % English :
% 0.19/0.71
% 0.19/0.71 % Refs : [Dar90] Darmochwal (1990), Finite Sets
% 0.19/0.71 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.19/0.71 % Source : [Urb06]
% 0.19/0.71 % Names : finset_1__t13_finset_1 [Urb06]
% 0.19/0.71
% 0.19/0.71 % Status : Theorem
% 0.19/0.71 % Rating : 0.03 v7.1.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.00 v3.2.0
% 0.19/0.71 % Syntax : Number of formulae : 54 ( 7 unt; 0 def)
% 0.19/0.71 % Number of atoms : 172 ( 2 equ)
% 0.19/0.71 % Maximal formula atoms : 10 ( 3 avg)
% 0.19/0.71 % Number of connectives : 135 ( 17 ~; 1 |; 94 &)
% 0.19/0.71 % ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% 0.19/0.71 % Maximal formula depth : 12 ( 5 avg)
% 0.19/0.71 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.71 % Number of predicates : 19 ( 18 usr; 0 prp; 1-2 aty)
% 0.19/0.71 % Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.19/0.71 % Number of variables : 68 ( 42 !; 26 ?)
% 0.19/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.71
% 0.19/0.71 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.71 % library, www.mizar.org
% 0.19/0.71 %------------------------------------------------------------------------------
% 0.19/0.71 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.71 ! [A,B] :
% 0.57/0.71 ( in(A,B)
% 0.57/0.71 => ~ in(B,A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc1_arytm_3,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( ordinal(A)
% 0.57/0.71 => ! [B] :
% 0.57/0.71 ( element(B,A)
% 0.57/0.71 => ( epsilon_transitive(B)
% 0.57/0.71 & epsilon_connected(B)
% 0.57/0.71 & ordinal(B) ) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc1_finset_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( empty(A)
% 0.57/0.71 => finite(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc1_funct_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( empty(A)
% 0.57/0.71 => function(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc1_ordinal1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( ordinal(A)
% 0.57/0.71 => ( epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc1_relat_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( empty(A)
% 0.57/0.71 => relation(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc2_arytm_3,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( ( empty(A)
% 0.57/0.71 & ordinal(A) )
% 0.57/0.71 => ( epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A)
% 0.57/0.71 & natural(A) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc2_finset_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( finite(A)
% 0.57/0.71 => ! [B] :
% 0.57/0.71 ( element(B,powerset(A))
% 0.57/0.71 => finite(B) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc2_funct_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( ( relation(A)
% 0.57/0.71 & empty(A)
% 0.57/0.71 & function(A) )
% 0.57/0.71 => ( relation(A)
% 0.57/0.71 & function(A)
% 0.57/0.71 & one_to_one(A) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc2_ordinal1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( ( epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A) )
% 0.57/0.71 => ordinal(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc3_ordinal1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( empty(A)
% 0.57/0.71 => ( epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(cc4_arytm_3,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( element(A,positive_rationals)
% 0.57/0.71 => ( ordinal(A)
% 0.57/0.71 => ( epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A)
% 0.57/0.71 & natural(A) ) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(existence_m1_subset_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ? [B] : element(B,A) ).
% 0.57/0.71
% 0.57/0.71 fof(fc12_relat_1,axiom,
% 0.57/0.71 ( empty(empty_set)
% 0.57/0.71 & relation(empty_set)
% 0.57/0.71 & relation_empty_yielding(empty_set) ) ).
% 0.57/0.71
% 0.57/0.71 fof(fc1_subset_1,axiom,
% 0.57/0.71 ! [A] : ~ empty(powerset(A)) ).
% 0.57/0.71
% 0.57/0.71 fof(fc1_xboole_0,axiom,
% 0.57/0.71 empty(empty_set) ).
% 0.57/0.71
% 0.57/0.71 fof(fc2_ordinal1,axiom,
% 0.57/0.71 ( relation(empty_set)
% 0.57/0.71 & relation_empty_yielding(empty_set)
% 0.57/0.71 & function(empty_set)
% 0.57/0.71 & one_to_one(empty_set)
% 0.57/0.71 & empty(empty_set)
% 0.57/0.71 & epsilon_transitive(empty_set)
% 0.57/0.71 & epsilon_connected(empty_set)
% 0.57/0.71 & ordinal(empty_set) ) ).
% 0.57/0.71
% 0.57/0.71 fof(fc4_relat_1,axiom,
% 0.57/0.71 ( empty(empty_set)
% 0.57/0.71 & relation(empty_set) ) ).
% 0.57/0.71
% 0.57/0.71 fof(fc8_arytm_3,axiom,
% 0.57/0.71 ~ empty(positive_rationals) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_arytm_3,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( ~ empty(A)
% 0.57/0.71 & epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A)
% 0.57/0.71 & natural(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_finset_1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( ~ empty(A)
% 0.57/0.71 & finite(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_funcop_1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( relation(A)
% 0.57/0.71 & function(A)
% 0.57/0.71 & function_yielding(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_funct_1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( relation(A)
% 0.57/0.71 & function(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_ordinal1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_ordinal2,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A)
% 0.57/0.71 & being_limit_ordinal(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_relat_1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( empty(A)
% 0.57/0.71 & relation(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_subset_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ( ~ empty(A)
% 0.57/0.71 => ? [B] :
% 0.57/0.71 ( element(B,powerset(A))
% 0.57/0.71 & ~ empty(B) ) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc1_xboole_0,axiom,
% 0.57/0.71 ? [A] : empty(A) ).
% 0.57/0.71
% 0.57/0.71 fof(rc2_arytm_3,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( element(A,positive_rationals)
% 0.57/0.71 & ~ empty(A)
% 0.57/0.71 & epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc2_finset_1,axiom,
% 0.57/0.71 ! [A] :
% 0.57/0.71 ? [B] :
% 0.57/0.71 ( element(B,powerset(A))
% 0.57/0.71 & empty(B)
% 0.57/0.71 & relation(B)
% 0.57/0.71 & function(B)
% 0.57/0.71 & one_to_one(B)
% 0.57/0.71 & epsilon_transitive(B)
% 0.57/0.71 & epsilon_connected(B)
% 0.57/0.71 & ordinal(B)
% 0.57/0.71 & natural(B)
% 0.57/0.71 & finite(B) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc2_funct_1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( relation(A)
% 0.57/0.71 & empty(A)
% 0.57/0.71 & function(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc2_ordinal1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( relation(A)
% 0.57/0.71 & function(A)
% 0.57/0.71 & one_to_one(A)
% 0.57/0.71 & empty(A)
% 0.57/0.71 & epsilon_transitive(A)
% 0.57/0.71 & epsilon_connected(A)
% 0.57/0.71 & ordinal(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc2_ordinal2,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( relation(A)
% 0.57/0.71 & function(A)
% 0.57/0.71 & transfinite_sequence(A)
% 0.57/0.71 & ordinal_yielding(A) ) ).
% 0.57/0.71
% 0.57/0.71 fof(rc2_relat_1,axiom,
% 0.57/0.71 ? [A] :
% 0.57/0.71 ( ~ empty(A)
% 0.57/0.71 & relation(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc2_subset_1,axiom,
% 0.57/0.72 ! [A] :
% 0.57/0.72 ? [B] :
% 0.57/0.72 ( element(B,powerset(A))
% 0.57/0.72 & empty(B) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc2_xboole_0,axiom,
% 0.57/0.72 ? [A] : ~ empty(A) ).
% 0.57/0.72
% 0.57/0.72 fof(rc3_arytm_3,axiom,
% 0.57/0.72 ? [A] :
% 0.57/0.72 ( element(A,positive_rationals)
% 0.57/0.72 & empty(A)
% 0.57/0.72 & epsilon_transitive(A)
% 0.57/0.72 & epsilon_connected(A)
% 0.57/0.72 & ordinal(A)
% 0.57/0.72 & natural(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc3_finset_1,axiom,
% 0.57/0.72 ! [A] :
% 0.57/0.72 ( ~ empty(A)
% 0.57/0.72 => ? [B] :
% 0.57/0.72 ( element(B,powerset(A))
% 0.57/0.72 & ~ empty(B)
% 0.57/0.72 & finite(B) ) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc3_funct_1,axiom,
% 0.57/0.72 ? [A] :
% 0.57/0.72 ( relation(A)
% 0.57/0.72 & function(A)
% 0.57/0.72 & one_to_one(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc3_ordinal1,axiom,
% 0.57/0.72 ? [A] :
% 0.57/0.72 ( ~ empty(A)
% 0.57/0.72 & epsilon_transitive(A)
% 0.57/0.72 & epsilon_connected(A)
% 0.57/0.72 & ordinal(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc3_relat_1,axiom,
% 0.57/0.72 ? [A] :
% 0.57/0.72 ( relation(A)
% 0.57/0.72 & relation_empty_yielding(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc4_funct_1,axiom,
% 0.57/0.72 ? [A] :
% 0.57/0.72 ( relation(A)
% 0.57/0.72 & relation_empty_yielding(A)
% 0.57/0.72 & function(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc4_ordinal1,axiom,
% 0.57/0.72 ? [A] :
% 0.57/0.72 ( relation(A)
% 0.57/0.72 & function(A)
% 0.57/0.72 & transfinite_sequence(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(rc5_funct_1,axiom,
% 0.57/0.72 ? [A] :
% 0.57/0.72 ( relation(A)
% 0.57/0.72 & relation_non_empty(A)
% 0.57/0.72 & function(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(reflexivity_r1_tarski,axiom,
% 0.57/0.72 ! [A,B] : subset(A,A) ).
% 0.57/0.72
% 0.57/0.72 fof(t13_finset_1,conjecture,
% 0.57/0.72 ! [A,B] :
% 0.57/0.72 ( ( subset(A,B)
% 0.57/0.72 & finite(B) )
% 0.57/0.72 => finite(A) ) ).
% 0.57/0.72
% 0.57/0.72 fof(t1_subset,axiom,
% 0.57/0.72 ! [A,B] :
% 0.57/0.72 ( in(A,B)
% 0.57/0.72 => element(A,B) ) ).
% 0.57/0.72
% 0.57/0.72 fof(t2_subset,axiom,
% 0.57/0.72 ! [A,B] :
% 0.57/0.72 ( element(A,B)
% 0.57/0.72 => ( empty(B)
% 0.57/0.72 | in(A,B) ) ) ).
% 0.57/0.72
% 0.57/0.72 fof(t3_subset,axiom,
% 0.57/0.72 ! [A,B] :
% 0.57/0.72 ( element(A,powerset(B))
% 0.57/0.72 <=> subset(A,B) ) ).
% 0.57/0.72
% 0.57/0.72 fof(t4_subset,axiom,
% 0.57/0.72 ! [A,B,C] :
% 0.57/0.72 ( ( in(A,B)
% 0.57/0.72 & element(B,powerset(C)) )
% 0.57/0.72 => element(A,C) ) ).
% 0.57/0.72
% 0.57/0.72 fof(t5_subset,axiom,
% 0.57/0.72 ! [A,B,C] :
% 0.57/0.72 ~ ( in(A,B)
% 0.57/0.72 & element(B,powerset(C))
% 0.57/0.72 & empty(C) ) ).
% 0.57/0.72
% 0.57/0.72 fof(t6_boole,axiom,
% 0.57/0.72 ! [A] :
% 0.57/0.72 ( empty(A)
% 0.57/0.72 => A = empty_set ) ).
% 0.57/0.72
% 0.57/0.72 fof(t7_boole,axiom,
% 0.57/0.72 ! [A,B] :
% 0.57/0.72 ~ ( in(A,B)
% 0.57/0.72 & empty(B) ) ).
% 0.57/0.72
% 0.57/0.72 fof(t8_boole,axiom,
% 0.57/0.72 ! [A,B] :
% 0.57/0.72 ~ ( empty(A)
% 0.57/0.72 & A != B
% 0.57/0.72 & empty(B) ) ).
% 0.57/0.72
% 0.57/0.72 %------------------------------------------------------------------------------
% 0.57/0.72 %-------------------------------------------
% 0.57/0.72 % Proof found
% 0.57/0.72 % SZS status Theorem for theBenchmark
% 0.57/0.72 % SZS output start Proof
% 0.57/0.72 %ClaNum:166(EqnAxiom:30)
% 0.57/0.72 %VarNum:117(SingletonVarNum:61)
% 0.57/0.72 %MaxLitNum:4
% 0.57/0.72 %MaxfuncDepth:1
% 0.57/0.72 %SharedTerms:105
% 0.57/0.72 %goalClause: 65 118 130
% 0.57/0.72 %singleGoalClaCount:3
% 0.57/0.72 [31]P1(a1)
% 0.57/0.72 [32]P1(a2)
% 0.57/0.72 [33]P1(a23)
% 0.57/0.72 [34]P1(a27)
% 0.57/0.72 [35]P1(a3)
% 0.57/0.72 [36]P1(a5)
% 0.57/0.72 [37]P1(a8)
% 0.57/0.72 [38]P1(a13)
% 0.57/0.72 [39]P2(a1)
% 0.57/0.72 [40]P2(a2)
% 0.57/0.72 [41]P2(a23)
% 0.57/0.72 [42]P2(a27)
% 0.57/0.72 [43]P2(a3)
% 0.57/0.72 [44]P2(a5)
% 0.57/0.72 [45]P2(a8)
% 0.57/0.72 [46]P2(a13)
% 0.57/0.72 [47]P3(a1)
% 0.57/0.72 [48]P3(a2)
% 0.57/0.72 [49]P3(a23)
% 0.57/0.72 [50]P3(a27)
% 0.57/0.72 [51]P3(a3)
% 0.57/0.72 [52]P3(a5)
% 0.57/0.72 [53]P3(a8)
% 0.57/0.72 [54]P3(a13)
% 0.57/0.72 [58]P4(a1)
% 0.57/0.72 [59]P4(a28)
% 0.57/0.72 [60]P4(a4)
% 0.57/0.72 [61]P4(a6)
% 0.57/0.72 [62]P4(a5)
% 0.57/0.72 [63]P4(a8)
% 0.57/0.72 [64]P7(a24)
% 0.57/0.72 [65]P7(a17)
% 0.57/0.72 [66]P8(a1)
% 0.57/0.72 [67]P8(a25)
% 0.57/0.72 [68]P8(a26)
% 0.57/0.72 [69]P8(a6)
% 0.57/0.72 [70]P8(a5)
% 0.57/0.72 [71]P8(a9)
% 0.57/0.72 [72]P8(a14)
% 0.57/0.72 [73]P8(a18)
% 0.57/0.72 [74]P8(a20)
% 0.57/0.72 [75]P8(a21)
% 0.57/0.72 [78]P13(a1)
% 0.57/0.72 [79]P13(a25)
% 0.57/0.72 [80]P13(a26)
% 0.57/0.72 [81]P13(a28)
% 0.57/0.72 [82]P13(a6)
% 0.57/0.72 [83]P13(a5)
% 0.57/0.72 [84]P13(a9)
% 0.57/0.72 [85]P13(a10)
% 0.57/0.72 [86]P13(a14)
% 0.57/0.72 [87]P13(a19)
% 0.57/0.72 [88]P13(a18)
% 0.57/0.72 [89]P13(a20)
% 0.57/0.72 [90]P13(a21)
% 0.57/0.72 [91]P9(a2)
% 0.57/0.72 [92]P9(a8)
% 0.57/0.72 [93]P12(a1)
% 0.57/0.72 [94]P12(a5)
% 0.57/0.72 [95]P12(a14)
% 0.57/0.72 [97]P15(a1)
% 0.57/0.72 [98]P15(a19)
% 0.57/0.72 [99]P15(a18)
% 0.57/0.72 [100]P10(a25)
% 0.57/0.72 [101]P5(a27)
% 0.57/0.72 [102]P16(a9)
% 0.57/0.72 [103]P16(a20)
% 0.57/0.72 [104]P14(a9)
% 0.57/0.72 [105]P17(a21)
% 0.57/0.72 [116]P6(a3,a29)
% 0.57/0.72 [117]P6(a8,a29)
% 0.57/0.72 [118]P18(a22,a17)
% 0.57/0.72 [123]~P4(a29)
% 0.57/0.72 [124]~P4(a2)
% 0.57/0.72 [125]~P4(a24)
% 0.57/0.72 [126]~P4(a3)
% 0.57/0.72 [127]~P4(a10)
% 0.57/0.72 [128]~P4(a12)
% 0.57/0.72 [129]~P4(a13)
% 0.57/0.72 [130]~P7(a22)
% 0.57/0.72 [119]P18(x1191,x1191)
% 0.57/0.72 [106]P1(f7(x1061))
% 0.57/0.72 [107]P2(f7(x1071))
% 0.57/0.72 [108]P3(f7(x1081))
% 0.57/0.72 [109]P4(f7(x1091))
% 0.57/0.72 [110]P4(f11(x1101))
% 0.57/0.72 [111]P7(f7(x1111))
% 0.57/0.72 [112]P8(f7(x1121))
% 0.57/0.72 [113]P13(f7(x1131))
% 0.57/0.72 [114]P9(f7(x1141))
% 0.57/0.72 [115]P12(f7(x1151))
% 0.57/0.72 [120]P6(f15(x1201),x1201)
% 0.57/0.72 [121]P6(f7(x1211),f31(x1211))
% 0.57/0.72 [122]P6(f11(x1221),f31(x1221))
% 0.57/0.72 [131]~P4(f31(x1311))
% 0.57/0.72 [132]~P4(x1321)+E(x1321,a1)
% 0.57/0.72 [133]~P4(x1331)+P1(x1331)
% 0.57/0.72 [134]~P1(x1341)+P2(x1341)
% 0.57/0.72 [135]~P4(x1351)+P2(x1351)
% 0.57/0.72 [136]~P1(x1361)+P3(x1361)
% 0.57/0.72 [137]~P4(x1371)+P3(x1371)
% 0.57/0.72 [138]~P4(x1381)+P7(x1381)
% 0.57/0.72 [139]~P4(x1391)+P8(x1391)
% 0.57/0.72 [140]~P4(x1401)+P13(x1401)
% 0.57/0.72 [141]P4(x1411)+P7(f16(x1411))
% 0.57/0.72 [147]P4(x1471)+~P4(f30(x1471))
% 0.57/0.72 [148]P4(x1481)+~P4(f16(x1481))
% 0.57/0.72 [151]P4(x1511)+P6(f30(x1511),f31(x1511))
% 0.57/0.72 [152]P4(x1521)+P6(f16(x1521),f31(x1521))
% 0.57/0.72 [150]~P4(x1501)+~P11(x1502,x1501)
% 0.57/0.72 [159]~P11(x1591,x1592)+P6(x1591,x1592)
% 0.57/0.72 [163]~P11(x1632,x1631)+~P11(x1631,x1632)
% 0.57/0.72 [161]~P18(x1611,x1612)+P6(x1611,f31(x1612))
% 0.57/0.72 [164]P18(x1641,x1642)+~P6(x1641,f31(x1642))
% 0.57/0.72 [143]~P2(x1431)+~P3(x1431)+P1(x1431)
% 0.57/0.72 [146]~P1(x1461)+~P4(x1461)+P9(x1461)
% 0.57/0.72 [155]~P1(x1551)+P9(x1551)+~P6(x1551,a29)
% 0.57/0.72 [142]~P4(x1422)+~P4(x1421)+E(x1421,x1422)
% 0.57/0.72 [156]~P6(x1561,x1562)+P1(x1561)+~P1(x1562)
% 0.57/0.72 [157]~P6(x1571,x1572)+P2(x1571)+~P1(x1572)
% 0.57/0.72 [158]~P6(x1581,x1582)+P3(x1581)+~P1(x1582)
% 0.57/0.72 [160]~P6(x1602,x1601)+P4(x1601)+P11(x1602,x1601)
% 0.57/0.72 [162]P7(x1621)+~P7(x1622)+~P6(x1621,f31(x1622))
% 0.57/0.72 [165]~P4(x1651)+~P11(x1652,x1653)+~P6(x1653,f31(x1651))
% 0.57/0.72 [166]P6(x1661,x1662)+~P11(x1661,x1663)+~P6(x1663,f31(x1662))
% 0.57/0.72 [149]~P4(x1491)+~P8(x1491)+~P13(x1491)+P12(x1491)
% 0.57/0.72 %EqnAxiom
% 0.57/0.72 [1]E(x11,x11)
% 0.57/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.72 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.57/0.72 [5]~E(x51,x52)+E(f31(x51),f31(x52))
% 0.57/0.72 [6]~E(x61,x62)+E(f16(x61),f16(x62))
% 0.57/0.72 [7]~E(x71,x72)+E(f30(x71),f30(x72))
% 0.57/0.72 [8]~E(x81,x82)+E(f11(x81),f11(x82))
% 0.57/0.72 [9]~E(x91,x92)+E(f15(x91),f15(x92))
% 0.57/0.72 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.57/0.72 [11]P6(x112,x113)+~E(x111,x112)+~P6(x111,x113)
% 0.57/0.72 [12]P6(x123,x122)+~E(x121,x122)+~P6(x123,x121)
% 0.57/0.72 [13]P11(x132,x133)+~E(x131,x132)+~P11(x131,x133)
% 0.57/0.72 [14]P11(x143,x142)+~E(x141,x142)+~P11(x143,x141)
% 0.57/0.72 [15]~P3(x151)+P3(x152)+~E(x151,x152)
% 0.57/0.72 [16]~P2(x161)+P2(x162)+~E(x161,x162)
% 0.57/0.72 [17]~P4(x171)+P4(x172)+~E(x171,x172)
% 0.57/0.72 [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 0.57/0.72 [19]~P13(x191)+P13(x192)+~E(x191,x192)
% 0.57/0.72 [20]~P15(x201)+P15(x202)+~E(x201,x202)
% 0.57/0.72 [21]~P12(x211)+P12(x212)+~E(x211,x212)
% 0.57/0.72 [22]~P8(x221)+P8(x222)+~E(x221,x222)
% 0.57/0.72 [23]~P10(x231)+P10(x232)+~E(x231,x232)
% 0.57/0.72 [24]~P5(x241)+P5(x242)+~E(x241,x242)
% 0.57/0.72 [25]~P16(x251)+P16(x252)+~E(x251,x252)
% 0.57/0.72 [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 0.57/0.72 [27]P18(x272,x273)+~E(x271,x272)+~P18(x271,x273)
% 0.57/0.72 [28]P18(x283,x282)+~E(x281,x282)+~P18(x283,x281)
% 0.57/0.72 [29]~P14(x291)+P14(x292)+~E(x291,x292)
% 0.57/0.72 [30]~P17(x301)+P17(x302)+~E(x301,x302)
% 0.57/0.72
% 0.57/0.72 %-------------------------------------------
% 0.57/0.72 cnf(170,plain,
% 0.57/0.72 (P6(f15(x1701),x1701)),
% 0.57/0.72 inference(rename_variables,[],[120])).
% 0.57/0.72 cnf(172,plain,
% 0.57/0.72 (P11(a3,a29)),
% 0.57/0.72 inference(scs_inference,[],[130,58,116,123,120,150,138,164,160])).
% 0.57/0.72 cnf(176,plain,
% 0.57/0.72 (P9(a1)),
% 0.57/0.72 inference(scs_inference,[],[130,31,35,58,116,123,120,150,138,164,160,155,146])).
% 0.57/0.72 cnf(178,plain,
% 0.57/0.72 (~P11(x1781,f15(f31(a1)))),
% 0.57/0.72 inference(scs_inference,[],[130,31,35,58,116,123,120,170,150,138,164,160,155,146,165])).
% 0.57/0.72 cnf(179,plain,
% 0.57/0.72 (P6(f15(x1791),x1791)),
% 0.57/0.72 inference(rename_variables,[],[120])).
% 0.57/0.72 cnf(182,plain,
% 0.57/0.72 (P6(f15(x1821),x1821)),
% 0.57/0.72 inference(rename_variables,[],[120])).
% 0.57/0.72 cnf(212,plain,
% 0.57/0.72 (E(f31(a28),f31(a1))),
% 0.57/0.72 inference(scs_inference,[],[65,119,130,31,35,58,59,60,61,69,82,116,123,120,170,179,150,138,164,160,155,146,165,162,149,163,140,139,137,135,133,132,161,148,147,141,9,8,7,6,5])).
% 0.57/0.72 cnf(228,plain,
% 0.57/0.72 (E(a1,a28)),
% 0.57/0.72 inference(scs_inference,[],[65,119,130,31,35,58,59,60,61,69,82,105,116,123,120,170,179,182,150,138,164,160,155,146,165,162,149,163,140,139,137,135,133,132,161,148,147,141,9,8,7,6,5,4,152,151,30,18,17,14,158,157,156,2])).
% 0.57/0.72 cnf(247,plain,
% 0.57/0.72 (P6(f15(x2471),x2471)),
% 0.57/0.72 inference(rename_variables,[],[120])).
% 0.57/0.72 cnf(249,plain,
% 0.57/0.72 (~P6(a29,f31(a5))),
% 0.57/0.72 inference(scs_inference,[],[62,93,97,120,178,172,176,228,26,21,20,138,160,165])).
% 0.57/0.72 cnf(257,plain,
% 0.57/0.72 (P6(f15(x2571),x2571)),
% 0.57/0.72 inference(rename_variables,[],[120])).
% 0.57/0.72 cnf(262,plain,
% 0.57/0.72 (~P6(a22,f31(a17))),
% 0.57/0.72 inference(scs_inference,[],[65,32,62,93,97,121,120,247,257,119,130,178,212,172,176,228,26,21,20,138,160,165,161,27,12,158,156,162])).
% 0.57/0.72 cnf(293,plain,
% 0.57/0.72 ($false),
% 0.57/0.72 inference(scs_inference,[],[118,117,122,123,249,262,166,160,161]),
% 0.57/0.72 ['proof']).
% 0.57/0.72 % SZS output end Proof
% 0.57/0.72 % Total time :0.080000s
%------------------------------------------------------------------------------