TSTP Solution File: SEU303+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU303+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 : n001.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 16:19:07 EDT 2023
% Result : Theorem 0.20s 0.76s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU303+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 15:37:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 % File :CSE---1.6
% 0.20/0.74 % Problem :theBenchmark
% 0.20/0.74 % Transform :cnf
% 0.20/0.74 % Format :tptp:raw
% 0.20/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.74
% 0.20/0.74 % Result :Theorem 0.090000s
% 0.20/0.74 % Output :CNFRefutation 0.090000s
% 0.20/0.74 %-------------------------------------------
% 0.20/0.75 %------------------------------------------------------------------------------
% 0.20/0.75 % File : SEU303+3 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.75 % Domain : Set theory
% 0.20/0.75 % Problem : Finite sets, theorem 26
% 0.20/0.75 % Version : [Urb06] axioms : Especial.
% 0.20/0.75 % English :
% 0.20/0.75
% 0.20/0.75 % Refs : [Dar90] Darmochwal (1990), Finite Sets
% 0.20/0.75 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.20/0.75 % Source : [Urb06]
% 0.20/0.75 % Names : finset_1__t26_finset_1 [Urb06]
% 0.20/0.75
% 0.20/0.75 % Status : Theorem
% 0.20/0.75 % Rating : 0.14 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.03 v7.3.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.09 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.10 v5.1.0, 0.14 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.07 v3.2.0
% 0.20/0.75 % Syntax : Number of formulae : 63 ( 7 unt; 0 def)
% 0.20/0.75 % Number of atoms : 205 ( 3 equ)
% 0.20/0.75 % Maximal formula atoms : 10 ( 3 avg)
% 0.20/0.75 % Number of connectives : 163 ( 21 ~; 1 |; 107 &)
% 0.20/0.75 % ( 1 <=>; 33 =>; 0 <=; 0 <~>)
% 0.20/0.75 % Maximal formula depth : 12 ( 5 avg)
% 0.20/0.75 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.75 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.20/0.75 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 0.20/0.75 % Number of variables : 78 ( 52 !; 26 ?)
% 0.20/0.75 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.75
% 0.20/0.75 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.20/0.75 % library, www.mizar.org
% 0.20/0.75 %------------------------------------------------------------------------------
% 0.20/0.75 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.75 ! [A,B] :
% 0.20/0.75 ( in(A,B)
% 0.20/0.75 => ~ in(B,A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc1_arytm_3,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ordinal(A)
% 0.20/0.75 => ! [B] :
% 0.20/0.75 ( element(B,A)
% 0.20/0.75 => ( epsilon_transitive(B)
% 0.20/0.75 & epsilon_connected(B)
% 0.20/0.75 & ordinal(B) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc1_finset_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( empty(A)
% 0.20/0.75 => finite(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc1_funct_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( empty(A)
% 0.20/0.75 => function(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc1_ordinal1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ordinal(A)
% 0.20/0.75 => ( epsilon_transitive(A)
% 0.20/0.75 & epsilon_connected(A) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc1_relat_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( empty(A)
% 0.20/0.75 => relation(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc2_arytm_3,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ( empty(A)
% 0.20/0.75 & ordinal(A) )
% 0.20/0.75 => ( epsilon_transitive(A)
% 0.20/0.75 & epsilon_connected(A)
% 0.20/0.75 & ordinal(A)
% 0.20/0.75 & natural(A) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc2_finset_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( finite(A)
% 0.20/0.75 => ! [B] :
% 0.20/0.75 ( element(B,powerset(A))
% 0.20/0.75 => finite(B) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc2_funct_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ( relation(A)
% 0.20/0.75 & empty(A)
% 0.20/0.75 & function(A) )
% 0.20/0.75 => ( relation(A)
% 0.20/0.75 & function(A)
% 0.20/0.75 & one_to_one(A) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc2_ordinal1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ( epsilon_transitive(A)
% 0.20/0.75 & epsilon_connected(A) )
% 0.20/0.75 => ordinal(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc3_ordinal1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( empty(A)
% 0.20/0.75 => ( epsilon_transitive(A)
% 0.20/0.75 & epsilon_connected(A)
% 0.20/0.75 & ordinal(A) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(cc4_arytm_3,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( element(A,positive_rationals)
% 0.20/0.75 => ( ordinal(A)
% 0.20/0.75 => ( epsilon_transitive(A)
% 0.20/0.75 & epsilon_connected(A)
% 0.20/0.75 & ordinal(A)
% 0.20/0.75 & natural(A) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(existence_m1_subset_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ? [B] : element(B,A) ).
% 0.20/0.75
% 0.20/0.75 fof(fc12_relat_1,axiom,
% 0.20/0.75 ( empty(empty_set)
% 0.20/0.75 & relation(empty_set)
% 0.20/0.75 & relation_empty_yielding(empty_set) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc13_finset_1,axiom,
% 0.20/0.75 ! [A,B] :
% 0.20/0.75 ( ( relation(A)
% 0.20/0.75 & function(A)
% 0.20/0.75 & finite(B) )
% 0.20/0.75 => finite(relation_image(A,B)) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc1_subset_1,axiom,
% 0.20/0.75 ! [A] : ~ empty(powerset(A)) ).
% 0.20/0.75
% 0.20/0.75 fof(fc1_xboole_0,axiom,
% 0.20/0.75 empty(empty_set) ).
% 0.20/0.75
% 0.20/0.75 fof(fc2_ordinal1,axiom,
% 0.20/0.75 ( relation(empty_set)
% 0.20/0.75 & relation_empty_yielding(empty_set)
% 0.20/0.75 & function(empty_set)
% 0.20/0.75 & one_to_one(empty_set)
% 0.20/0.75 & empty(empty_set)
% 0.20/0.75 & epsilon_transitive(empty_set)
% 0.20/0.75 & epsilon_connected(empty_set)
% 0.20/0.75 & ordinal(empty_set) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc4_relat_1,axiom,
% 0.20/0.75 ( empty(empty_set)
% 0.20/0.75 & relation(empty_set) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc5_ordinal1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ( relation(A)
% 0.20/0.75 & function(A)
% 0.20/0.75 & transfinite_sequence(A) )
% 0.20/0.75 => ( epsilon_transitive(relation_dom(A))
% 0.20/0.75 & epsilon_connected(relation_dom(A))
% 0.20/0.75 & ordinal(relation_dom(A)) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc5_relat_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ( ~ empty(A)
% 0.20/0.75 & relation(A) )
% 0.20/0.75 => ~ empty(relation_dom(A)) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc6_funct_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ( relation(A)
% 0.20/0.75 & relation_non_empty(A)
% 0.20/0.75 & function(A) )
% 0.20/0.75 => with_non_empty_elements(relation_rng(A)) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc6_relat_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( ( ~ empty(A)
% 0.20/0.75 & relation(A) )
% 0.20/0.75 => ~ empty(relation_rng(A)) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc7_relat_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( empty(A)
% 0.20/0.75 => ( empty(relation_dom(A))
% 0.20/0.75 & relation(relation_dom(A)) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(fc8_arytm_3,axiom,
% 0.20/0.75 ~ empty(positive_rationals) ).
% 0.20/0.75
% 0.20/0.75 fof(fc8_relat_1,axiom,
% 0.20/0.75 ! [A] :
% 0.20/0.75 ( empty(A)
% 0.20/0.75 => ( empty(relation_rng(A))
% 0.20/0.75 & relation(relation_rng(A)) ) ) ).
% 0.20/0.75
% 0.20/0.75 fof(rc1_arytm_3,axiom,
% 0.20/0.75 ? [A] :
% 0.20/0.75 ( ~ empty(A)
% 0.20/0.75 & epsilon_transitive(A)
% 0.20/0.75 & epsilon_connected(A)
% 0.20/0.75 & ordinal(A)
% 0.20/0.75 & natural(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(rc1_finset_1,axiom,
% 0.20/0.75 ? [A] :
% 0.20/0.75 ( ~ empty(A)
% 0.20/0.75 & finite(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(rc1_funcop_1,axiom,
% 0.20/0.75 ? [A] :
% 0.20/0.75 ( relation(A)
% 0.20/0.75 & function(A)
% 0.20/0.75 & function_yielding(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(rc1_funct_1,axiom,
% 0.20/0.75 ? [A] :
% 0.20/0.75 ( relation(A)
% 0.20/0.75 & function(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(rc1_ordinal1,axiom,
% 0.20/0.75 ? [A] :
% 0.20/0.75 ( epsilon_transitive(A)
% 0.20/0.75 & epsilon_connected(A)
% 0.20/0.75 & ordinal(A) ) ).
% 0.20/0.75
% 0.20/0.75 fof(rc1_ordinal2,axiom,
% 0.20/0.75 ? [A] :
% 0.20/0.75 ( epsilon_transitive(A)
% 0.20/0.76 & epsilon_connected(A)
% 0.20/0.76 & ordinal(A)
% 0.20/0.76 & being_limit_ordinal(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc1_relat_1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( empty(A)
% 0.20/0.76 & relation(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc1_subset_1,axiom,
% 0.20/0.76 ! [A] :
% 0.20/0.76 ( ~ empty(A)
% 0.20/0.76 => ? [B] :
% 0.20/0.76 ( element(B,powerset(A))
% 0.20/0.76 & ~ empty(B) ) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc1_xboole_0,axiom,
% 0.20/0.76 ? [A] : empty(A) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_arytm_3,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( element(A,positive_rationals)
% 0.20/0.76 & ~ empty(A)
% 0.20/0.76 & epsilon_transitive(A)
% 0.20/0.76 & epsilon_connected(A)
% 0.20/0.76 & ordinal(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_finset_1,axiom,
% 0.20/0.76 ! [A] :
% 0.20/0.76 ? [B] :
% 0.20/0.76 ( element(B,powerset(A))
% 0.20/0.76 & empty(B)
% 0.20/0.76 & relation(B)
% 0.20/0.76 & function(B)
% 0.20/0.76 & one_to_one(B)
% 0.20/0.76 & epsilon_transitive(B)
% 0.20/0.76 & epsilon_connected(B)
% 0.20/0.76 & ordinal(B)
% 0.20/0.76 & natural(B)
% 0.20/0.76 & finite(B) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_funct_1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & empty(A)
% 0.20/0.76 & function(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_ordinal1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & function(A)
% 0.20/0.76 & one_to_one(A)
% 0.20/0.76 & empty(A)
% 0.20/0.76 & epsilon_transitive(A)
% 0.20/0.76 & epsilon_connected(A)
% 0.20/0.76 & ordinal(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_ordinal2,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & function(A)
% 0.20/0.76 & transfinite_sequence(A)
% 0.20/0.76 & ordinal_yielding(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_relat_1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( ~ empty(A)
% 0.20/0.76 & relation(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_subset_1,axiom,
% 0.20/0.76 ! [A] :
% 0.20/0.76 ? [B] :
% 0.20/0.76 ( element(B,powerset(A))
% 0.20/0.76 & empty(B) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc2_xboole_0,axiom,
% 0.20/0.76 ? [A] : ~ empty(A) ).
% 0.20/0.76
% 0.20/0.76 fof(rc3_arytm_3,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( element(A,positive_rationals)
% 0.20/0.76 & empty(A)
% 0.20/0.76 & epsilon_transitive(A)
% 0.20/0.76 & epsilon_connected(A)
% 0.20/0.76 & ordinal(A)
% 0.20/0.76 & natural(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc3_finset_1,axiom,
% 0.20/0.76 ! [A] :
% 0.20/0.76 ( ~ empty(A)
% 0.20/0.76 => ? [B] :
% 0.20/0.76 ( element(B,powerset(A))
% 0.20/0.76 & ~ empty(B)
% 0.20/0.76 & finite(B) ) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc3_funct_1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & function(A)
% 0.20/0.76 & one_to_one(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc3_ordinal1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( ~ empty(A)
% 0.20/0.76 & epsilon_transitive(A)
% 0.20/0.76 & epsilon_connected(A)
% 0.20/0.76 & ordinal(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc3_relat_1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & relation_empty_yielding(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc4_funct_1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & relation_empty_yielding(A)
% 0.20/0.76 & function(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc4_ordinal1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & function(A)
% 0.20/0.76 & transfinite_sequence(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(rc5_funct_1,axiom,
% 0.20/0.76 ? [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 & relation_non_empty(A)
% 0.20/0.76 & function(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.76 ! [A,B] : subset(A,A) ).
% 0.20/0.76
% 0.20/0.76 fof(t146_relat_1,axiom,
% 0.20/0.76 ! [A] :
% 0.20/0.76 ( relation(A)
% 0.20/0.76 => relation_image(A,relation_dom(A)) = relation_rng(A) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t17_finset_1,axiom,
% 0.20/0.76 ! [A,B] :
% 0.20/0.76 ( ( relation(B)
% 0.20/0.76 & function(B) )
% 0.20/0.76 => ( finite(A)
% 0.20/0.76 => finite(relation_image(B,A)) ) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t1_subset,axiom,
% 0.20/0.76 ! [A,B] :
% 0.20/0.76 ( in(A,B)
% 0.20/0.76 => element(A,B) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t26_finset_1,conjecture,
% 0.20/0.76 ! [A] :
% 0.20/0.76 ( ( relation(A)
% 0.20/0.76 & function(A) )
% 0.20/0.76 => ( finite(relation_dom(A))
% 0.20/0.76 => finite(relation_rng(A)) ) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t2_subset,axiom,
% 0.20/0.76 ! [A,B] :
% 0.20/0.76 ( element(A,B)
% 0.20/0.76 => ( empty(B)
% 0.20/0.76 | in(A,B) ) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t3_subset,axiom,
% 0.20/0.76 ! [A,B] :
% 0.20/0.76 ( element(A,powerset(B))
% 0.20/0.76 <=> subset(A,B) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t4_subset,axiom,
% 0.20/0.76 ! [A,B,C] :
% 0.20/0.76 ( ( in(A,B)
% 0.20/0.76 & element(B,powerset(C)) )
% 0.20/0.76 => element(A,C) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t5_subset,axiom,
% 0.20/0.76 ! [A,B,C] :
% 0.20/0.76 ~ ( in(A,B)
% 0.20/0.76 & element(B,powerset(C))
% 0.20/0.76 & empty(C) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t6_boole,axiom,
% 0.20/0.76 ! [A] :
% 0.20/0.76 ( empty(A)
% 0.20/0.76 => A = empty_set ) ).
% 0.20/0.76
% 0.20/0.76 fof(t7_boole,axiom,
% 0.20/0.76 ! [A,B] :
% 0.20/0.76 ~ ( in(A,B)
% 0.20/0.76 & empty(B) ) ).
% 0.20/0.76
% 0.20/0.76 fof(t8_boole,axiom,
% 0.20/0.76 ! [A,B] :
% 0.20/0.76 ~ ( empty(A)
% 0.20/0.76 & A != B
% 0.20/0.76 & empty(B) ) ).
% 0.20/0.76
% 0.20/0.76 %------------------------------------------------------------------------------
% 0.20/0.76 %-------------------------------------------
% 0.20/0.76 % Proof found
% 0.20/0.76 % SZS status Theorem for theBenchmark
% 0.20/0.76 % SZS output start Proof
% 0.20/0.76 %ClaNum:185(EqnAxiom:35)
% 0.20/0.76 %VarNum:156(SingletonVarNum:74)
% 0.20/0.76 %MaxLitNum:4
% 0.20/0.76 %MaxfuncDepth:2
% 0.20/0.76 %SharedTerms:107
% 0.20/0.76 %goalClause: 80 96 112 136
% 0.20/0.76 %singleGoalClaCount:4
% 0.20/0.76 [36]P1(a1)
% 0.20/0.76 [37]P1(a2)
% 0.20/0.76 [38]P1(a22)
% 0.20/0.76 [39]P1(a26)
% 0.20/0.76 [40]P1(a3)
% 0.20/0.76 [41]P1(a5)
% 0.20/0.76 [42]P1(a8)
% 0.20/0.76 [43]P1(a13)
% 0.20/0.76 [44]P2(a1)
% 0.20/0.76 [45]P2(a2)
% 0.20/0.76 [46]P2(a22)
% 0.20/0.76 [47]P2(a26)
% 0.20/0.76 [48]P2(a3)
% 0.20/0.76 [49]P2(a5)
% 0.20/0.76 [50]P2(a8)
% 0.20/0.76 [51]P2(a13)
% 0.20/0.76 [52]P3(a1)
% 0.20/0.76 [53]P3(a2)
% 0.20/0.76 [54]P3(a22)
% 0.20/0.76 [55]P3(a26)
% 0.20/0.76 [56]P3(a3)
% 0.20/0.76 [57]P3(a5)
% 0.20/0.76 [58]P3(a8)
% 0.20/0.76 [59]P3(a13)
% 0.20/0.76 [63]P4(a1)
% 0.20/0.76 [64]P4(a27)
% 0.20/0.76 [65]P4(a4)
% 0.20/0.76 [66]P4(a6)
% 0.20/0.76 [67]P4(a5)
% 0.20/0.76 [68]P4(a8)
% 0.20/0.76 [69]P7(a23)
% 0.20/0.76 [70]P8(a1)
% 0.20/0.76 [71]P8(a24)
% 0.20/0.76 [72]P8(a25)
% 0.20/0.76 [73]P8(a6)
% 0.20/0.76 [74]P8(a5)
% 0.20/0.76 [75]P8(a9)
% 0.20/0.76 [76]P8(a14)
% 0.20/0.76 [77]P8(a17)
% 0.20/0.76 [78]P8(a19)
% 0.20/0.76 [79]P8(a20)
% 0.20/0.76 [80]P8(a21)
% 0.20/0.76 [83]P13(a1)
% 0.20/0.76 [84]P13(a24)
% 0.20/0.76 [85]P13(a25)
% 0.20/0.76 [86]P13(a27)
% 0.20/0.76 [87]P13(a6)
% 0.20/0.76 [88]P13(a5)
% 0.20/0.76 [89]P13(a9)
% 0.20/0.76 [90]P13(a10)
% 0.20/0.76 [91]P13(a14)
% 0.20/0.76 [92]P13(a18)
% 0.20/0.76 [93]P13(a17)
% 0.20/0.76 [94]P13(a19)
% 0.20/0.76 [95]P13(a20)
% 0.20/0.76 [96]P13(a21)
% 0.20/0.76 [97]P9(a2)
% 0.20/0.76 [98]P9(a8)
% 0.20/0.76 [99]P12(a1)
% 0.20/0.76 [100]P12(a5)
% 0.20/0.76 [101]P12(a14)
% 0.20/0.76 [103]P15(a1)
% 0.20/0.76 [104]P15(a18)
% 0.20/0.76 [105]P15(a17)
% 0.20/0.76 [106]P16(a9)
% 0.20/0.76 [107]P16(a19)
% 0.20/0.76 [108]P17(a20)
% 0.20/0.76 [109]P10(a24)
% 0.20/0.76 [110]P5(a26)
% 0.20/0.76 [111]P14(a9)
% 0.20/0.76 [123]P6(a3,a29)
% 0.20/0.76 [124]P6(a8,a29)
% 0.20/0.76 [129]~P4(a29)
% 0.20/0.76 [130]~P4(a2)
% 0.20/0.76 [131]~P4(a23)
% 0.20/0.76 [132]~P4(a3)
% 0.20/0.76 [133]~P4(a10)
% 0.20/0.76 [134]~P4(a12)
% 0.20/0.76 [135]~P4(a13)
% 0.20/0.76 [112]P7(f28(a21))
% 0.20/0.76 [136]~P7(f32(a21))
% 0.20/0.76 [125]P18(x1251,x1251)
% 0.20/0.76 [113]P1(f7(x1131))
% 0.20/0.76 [114]P2(f7(x1141))
% 0.20/0.76 [115]P3(f7(x1151))
% 0.20/0.76 [116]P4(f7(x1161))
% 0.20/0.76 [117]P4(f11(x1171))
% 0.20/0.76 [118]P7(f7(x1181))
% 0.20/0.76 [119]P8(f7(x1191))
% 0.20/0.76 [120]P13(f7(x1201))
% 0.20/0.76 [121]P9(f7(x1211))
% 0.20/0.76 [122]P12(f7(x1221))
% 0.20/0.76 [126]P6(f15(x1261),x1261)
% 0.20/0.76 [127]P6(f7(x1271),f31(x1271))
% 0.20/0.76 [128]P6(f11(x1281),f31(x1281))
% 0.20/0.76 [137]~P4(f31(x1371))
% 0.20/0.76 [138]~P4(x1381)+E(x1381,a1)
% 0.20/0.76 [139]~P4(x1391)+P1(x1391)
% 0.20/0.76 [140]~P1(x1401)+P2(x1401)
% 0.20/0.76 [141]~P4(x1411)+P2(x1411)
% 0.20/0.76 [142]~P1(x1421)+P3(x1421)
% 0.20/0.76 [143]~P4(x1431)+P3(x1431)
% 0.20/0.76 [144]~P4(x1441)+P7(x1441)
% 0.20/0.76 [145]~P4(x1451)+P8(x1451)
% 0.20/0.76 [146]~P4(x1461)+P13(x1461)
% 0.20/0.76 [147]P4(x1471)+P7(f16(x1471))
% 0.20/0.76 [149]~P4(x1491)+P4(f28(x1491))
% 0.20/0.76 [150]~P4(x1501)+P4(f32(x1501))
% 0.20/0.76 [151]~P4(x1511)+P13(f28(x1511))
% 0.20/0.76 [152]~P4(x1521)+P13(f32(x1521))
% 0.20/0.76 [157]P4(x1571)+~P4(f30(x1571))
% 0.20/0.76 [158]P4(x1581)+~P4(f16(x1581))
% 0.20/0.76 [163]P4(x1631)+P6(f30(x1631),f31(x1631))
% 0.20/0.77 [164]P4(x1641)+P6(f16(x1641),f31(x1641))
% 0.20/0.77 [165]~P13(x1651)+E(f33(x1651,f28(x1651)),f32(x1651))
% 0.20/0.77 [162]~P4(x1621)+~P11(x1622,x1621)
% 0.20/0.77 [176]~P11(x1761,x1762)+P6(x1761,x1762)
% 0.20/0.77 [180]~P11(x1802,x1801)+~P11(x1801,x1802)
% 0.20/0.77 [178]~P18(x1781,x1782)+P6(x1781,f31(x1782))
% 0.20/0.77 [181]P18(x1811,x1812)+~P6(x1811,f31(x1812))
% 0.20/0.77 [153]~P2(x1531)+~P3(x1531)+P1(x1531)
% 0.20/0.77 [156]~P1(x1561)+~P4(x1561)+P9(x1561)
% 0.20/0.77 [168]~P1(x1681)+P9(x1681)+~P6(x1681,a29)
% 0.20/0.77 [160]~P13(x1601)+P4(x1601)+~P4(f28(x1601))
% 0.20/0.77 [161]~P13(x1611)+P4(x1611)+~P4(f32(x1611))
% 0.20/0.77 [148]~P4(x1482)+~P4(x1481)+E(x1481,x1482)
% 0.20/0.77 [173]~P6(x1731,x1732)+P1(x1731)+~P1(x1732)
% 0.20/0.77 [174]~P6(x1741,x1742)+P2(x1741)+~P1(x1742)
% 0.20/0.77 [175]~P6(x1751,x1752)+P3(x1751)+~P1(x1752)
% 0.20/0.77 [177]~P6(x1772,x1771)+P4(x1771)+P11(x1772,x1771)
% 0.20/0.77 [179]P7(x1791)+~P7(x1792)+~P6(x1791,f31(x1792))
% 0.20/0.77 [184]~P4(x1841)+~P11(x1842,x1843)+~P6(x1843,f31(x1841))
% 0.20/0.77 [185]P6(x1851,x1852)+~P11(x1851,x1853)+~P6(x1853,f31(x1852))
% 0.20/0.77 [159]~P4(x1591)+~P8(x1591)+~P13(x1591)+P12(x1591)
% 0.20/0.77 [169]~P8(x1691)+~P13(x1691)+~P16(x1691)+P1(f28(x1691))
% 0.20/0.77 [170]~P8(x1701)+~P13(x1701)+~P16(x1701)+P2(f28(x1701))
% 0.20/0.77 [171]~P8(x1711)+~P13(x1711)+~P16(x1711)+P3(f28(x1711))
% 0.20/0.77 [172]~P8(x1721)+~P13(x1721)+~P17(x1721)+P19(f32(x1721))
% 0.20/0.77 [183]~P7(x1832)+~P8(x1831)+~P13(x1831)+P7(f33(x1831,x1832))
% 0.20/0.77 %EqnAxiom
% 0.20/0.77 [1]E(x11,x11)
% 0.20/0.77 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.77 [4]~E(x41,x42)+E(f28(x41),f28(x42))
% 0.20/0.77 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.20/0.77 [6]~E(x61,x62)+E(f32(x61),f32(x62))
% 0.20/0.77 [7]~E(x71,x72)+E(f31(x71),f31(x72))
% 0.20/0.77 [8]~E(x81,x82)+E(f30(x81),f30(x82))
% 0.20/0.77 [9]~E(x91,x92)+E(f11(x91),f11(x92))
% 0.20/0.77 [10]~E(x101,x102)+E(f16(x101),f16(x102))
% 0.20/0.77 [11]~E(x111,x112)+E(f33(x111,x113),f33(x112,x113))
% 0.20/0.77 [12]~E(x121,x122)+E(f33(x123,x121),f33(x123,x122))
% 0.20/0.77 [13]~E(x131,x132)+E(f15(x131),f15(x132))
% 0.20/0.77 [14]~P1(x141)+P1(x142)+~E(x141,x142)
% 0.20/0.77 [15]P6(x152,x153)+~E(x151,x152)+~P6(x151,x153)
% 0.20/0.77 [16]P6(x163,x162)+~E(x161,x162)+~P6(x163,x161)
% 0.20/0.77 [17]P11(x172,x173)+~E(x171,x172)+~P11(x171,x173)
% 0.20/0.77 [18]P11(x183,x182)+~E(x181,x182)+~P11(x183,x181)
% 0.20/0.77 [19]~P8(x191)+P8(x192)+~E(x191,x192)
% 0.20/0.77 [20]~P4(x201)+P4(x202)+~E(x201,x202)
% 0.20/0.77 [21]~P3(x211)+P3(x212)+~E(x211,x212)
% 0.20/0.77 [22]~P13(x221)+P13(x222)+~E(x221,x222)
% 0.20/0.77 [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 0.20/0.77 [24]~P9(x241)+P9(x242)+~E(x241,x242)
% 0.20/0.77 [25]~P7(x251)+P7(x252)+~E(x251,x252)
% 0.20/0.77 [26]~P12(x261)+P12(x262)+~E(x261,x262)
% 0.20/0.77 [27]~P16(x271)+P16(x272)+~E(x271,x272)
% 0.20/0.77 [28]~P5(x281)+P5(x282)+~E(x281,x282)
% 0.20/0.77 [29]~P15(x291)+P15(x292)+~E(x291,x292)
% 0.20/0.77 [30]P18(x302,x303)+~E(x301,x302)+~P18(x301,x303)
% 0.20/0.77 [31]P18(x313,x312)+~E(x311,x312)+~P18(x313,x311)
% 0.20/0.77 [32]~P17(x321)+P17(x322)+~E(x321,x322)
% 0.20/0.77 [33]~P10(x331)+P10(x332)+~E(x331,x332)
% 0.20/0.77 [34]~P19(x341)+P19(x342)+~E(x341,x342)
% 0.20/0.77 [35]~P14(x351)+P14(x352)+~E(x351,x352)
% 0.20/0.77
% 0.20/0.77 %-------------------------------------------
% 0.20/0.77 cnf(189,plain,
% 0.20/0.77 (P6(f15(x1891),x1891)),
% 0.20/0.77 inference(rename_variables,[],[126])).
% 0.20/0.77 cnf(191,plain,
% 0.20/0.77 (~P4(a21)),
% 0.20/0.77 inference(scs_inference,[],[63,136,126,162,144,181,150])).
% 0.20/0.77 cnf(193,plain,
% 0.20/0.77 (P11(a3,a29)),
% 0.20/0.77 inference(scs_inference,[],[63,123,129,136,126,162,144,181,150,177])).
% 0.20/0.77 cnf(197,plain,
% 0.20/0.77 (P9(a1)),
% 0.20/0.77 inference(scs_inference,[],[36,40,63,123,129,136,126,162,144,181,150,177,168,156])).
% 0.20/0.77 cnf(199,plain,
% 0.20/0.77 (~P11(x1991,f15(f31(a1)))),
% 0.20/0.77 inference(scs_inference,[],[36,40,63,123,129,136,126,189,162,144,181,150,177,168,156,184])).
% 0.20/0.77 cnf(200,plain,
% 0.20/0.77 (P6(f15(x2001),x2001)),
% 0.20/0.77 inference(rename_variables,[],[126])).
% 0.20/0.77 cnf(203,plain,
% 0.20/0.77 (P6(f15(x2031),x2031)),
% 0.20/0.77 inference(rename_variables,[],[126])).
% 0.20/0.77 cnf(236,plain,
% 0.20/0.77 (E(f33(x2361,a27),f33(x2361,a1))),
% 0.20/0.77 inference(scs_inference,[],[125,36,40,63,64,65,66,69,73,87,123,129,136,126,189,200,162,144,181,150,177,168,156,184,179,159,180,146,145,143,141,139,138,178,158,157,152,151,149,147,13,12])).
% 0.20/0.77 cnf(241,plain,
% 0.20/0.77 (E(f31(a27),f31(a1))),
% 0.20/0.77 inference(scs_inference,[],[125,36,40,63,64,65,66,69,73,87,123,129,136,126,189,200,162,144,181,150,177,168,156,184,179,159,180,146,145,143,141,139,138,178,158,157,152,151,149,147,13,12,11,10,9,8,7])).
% 0.20/0.77 cnf(249,plain,
% 0.20/0.77 (E(f33(a21,f28(a21)),f32(a21))),
% 0.20/0.77 inference(scs_inference,[],[125,96,36,40,63,64,65,66,69,73,87,123,129,136,126,189,200,162,144,181,150,177,168,156,184,179,159,180,146,145,143,141,139,138,178,158,157,152,151,149,147,13,12,11,10,9,8,7,6,5,4,164,163,165])).
% 0.20/0.77 cnf(276,plain,
% 0.20/0.77 (E(a1,a27)),
% 0.20/0.77 inference(scs_inference,[],[80,125,96,36,40,63,64,65,66,69,73,75,79,87,89,90,95,106,108,111,123,129,133,136,126,189,200,203,162,144,181,150,177,168,156,184,179,159,180,146,145,143,141,139,138,178,158,157,152,151,149,147,13,12,11,10,9,8,7,6,5,4,164,163,165,35,25,20,18,3,175,174,173,161,160,183,172,171,170,169,2])).
% 0.20/0.77 cnf(292,plain,
% 0.20/0.77 (P6(f15(x2921),x2921)),
% 0.20/0.77 inference(rename_variables,[],[126])).
% 0.20/0.77 cnf(297,plain,
% 0.20/0.77 (P6(f15(x2971),x2971)),
% 0.20/0.77 inference(rename_variables,[],[126])).
% 0.20/0.77 cnf(318,plain,
% 0.20/0.77 ($false),
% 0.20/0.77 inference(scs_inference,[],[80,37,67,78,94,99,103,107,130,112,127,126,292,297,96,136,125,199,236,249,241,191,193,197,276,29,26,24,144,150,173,183,174,170,31,20,16,177,179,160,171,169,184,30,25]),
% 0.20/0.77 ['proof']).
% 0.20/0.77 % SZS output end Proof
% 0.20/0.77 % Total time :0.090000s
%------------------------------------------------------------------------------