TSTP Solution File: SEU089+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU089+1 : 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 : n024.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 0.69s 0.74s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU089+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Aug 23 14:25:24 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.53 start to proof:theBenchmark
% 0.65/0.73 %-------------------------------------------
% 0.65/0.73 % File :CSE---1.6
% 0.65/0.73 % Problem :theBenchmark
% 0.65/0.73 % Transform :cnf
% 0.65/0.73 % Format :tptp:raw
% 0.65/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.65/0.73
% 0.65/0.73 % Result :Theorem 0.140000s
% 0.65/0.73 % Output :CNFRefutation 0.140000s
% 0.65/0.73 %-------------------------------------------
% 0.65/0.73 %------------------------------------------------------------------------------
% 0.65/0.73 % File : SEU089+1 : TPTP v8.1.2. Released v3.2.0.
% 0.65/0.73 % Domain : Set theory
% 0.65/0.73 % Problem : Finite sets, theorem 20
% 0.65/0.73 % Version : [Urb06] axioms : Especial.
% 0.65/0.73 % English :
% 0.65/0.73
% 0.65/0.73 % Refs : [Dar90] Darmochwal (1990), Finite Sets
% 0.65/0.73 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.65/0.73 % Source : [Urb06]
% 0.65/0.73 % Names : finset_1__t20_finset_1 [Urb06]
% 0.65/0.73
% 0.65/0.73 % Status : Theorem
% 0.65/0.73 % Rating : 0.06 v8.1.0, 0.00 v7.3.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v5.5.0, 0.07 v5.4.0, 0.14 v5.3.0, 0.19 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0, 0.00 v3.2.0
% 0.65/0.73 % Syntax : Number of formulae : 60 ( 8 unt; 0 def)
% 0.65/0.73 % Number of atoms : 189 ( 3 equ)
% 0.65/0.73 % Maximal formula atoms : 10 ( 3 avg)
% 0.65/0.73 % Number of connectives : 153 ( 24 ~; 1 |; 100 &)
% 0.65/0.73 % ( 1 <=>; 27 =>; 0 <=; 0 <~>)
% 0.65/0.73 % Maximal formula depth : 12 ( 5 avg)
% 0.65/0.73 % Maximal term depth : 3 ( 1 avg)
% 0.65/0.73 % Number of predicates : 19 ( 18 usr; 0 prp; 1-2 aty)
% 0.65/0.73 % Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% 0.65/0.73 % Number of variables : 84 ( 58 !; 26 ?)
% 0.65/0.73 % SPC : FOF_THM_RFO_SEQ
% 0.65/0.73
% 0.65/0.73 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.65/0.73 % library, www.mizar.org
% 0.65/0.73 %------------------------------------------------------------------------------
% 0.65/0.73 fof(antisymmetry_r2_hidden,axiom,
% 0.65/0.73 ! [A,B] :
% 0.65/0.73 ( in(A,B)
% 0.65/0.73 => ~ in(B,A) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc1_arytm_3,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( ordinal(A)
% 0.65/0.73 => ! [B] :
% 0.65/0.73 ( element(B,A)
% 0.65/0.73 => ( epsilon_transitive(B)
% 0.65/0.73 & epsilon_connected(B)
% 0.65/0.73 & ordinal(B) ) ) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc1_finset_1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( empty(A)
% 0.65/0.73 => finite(A) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc1_funct_1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( empty(A)
% 0.65/0.73 => function(A) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc1_ordinal1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( ordinal(A)
% 0.65/0.73 => ( epsilon_transitive(A)
% 0.65/0.73 & epsilon_connected(A) ) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc1_relat_1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( empty(A)
% 0.65/0.73 => relation(A) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc1_relset_1,axiom,
% 0.65/0.73 ! [A,B,C] :
% 0.65/0.73 ( element(C,powerset(cartesian_product2(A,B)))
% 0.65/0.73 => relation(C) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc2_arytm_3,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( ( empty(A)
% 0.65/0.73 & ordinal(A) )
% 0.65/0.73 => ( epsilon_transitive(A)
% 0.65/0.73 & epsilon_connected(A)
% 0.65/0.73 & ordinal(A)
% 0.65/0.73 & natural(A) ) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc2_finset_1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( finite(A)
% 0.65/0.73 => ! [B] :
% 0.65/0.73 ( element(B,powerset(A))
% 0.65/0.73 => finite(B) ) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc2_funct_1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( ( relation(A)
% 0.65/0.73 & empty(A)
% 0.65/0.73 & function(A) )
% 0.65/0.73 => ( relation(A)
% 0.65/0.73 & function(A)
% 0.65/0.73 & one_to_one(A) ) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc2_ordinal1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( ( epsilon_transitive(A)
% 0.65/0.73 & epsilon_connected(A) )
% 0.65/0.73 => ordinal(A) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc3_ordinal1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( empty(A)
% 0.65/0.73 => ( epsilon_transitive(A)
% 0.65/0.73 & epsilon_connected(A)
% 0.65/0.73 & ordinal(A) ) ) ).
% 0.65/0.73
% 0.65/0.73 fof(cc4_arytm_3,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ( element(A,positive_rationals)
% 0.65/0.73 => ( ordinal(A)
% 0.65/0.73 => ( epsilon_transitive(A)
% 0.65/0.73 & epsilon_connected(A)
% 0.65/0.73 & ordinal(A)
% 0.65/0.73 & natural(A) ) ) ) ).
% 0.65/0.73
% 0.65/0.73 fof(d3_zfmisc_1,axiom,
% 0.65/0.73 ! [A,B,C] : cartesian_product3(A,B,C) = cartesian_product2(cartesian_product2(A,B),C) ).
% 0.65/0.73
% 0.65/0.73 fof(existence_m1_subset_1,axiom,
% 0.65/0.73 ! [A] :
% 0.65/0.73 ? [B] : element(B,A) ).
% 0.65/0.73
% 0.65/0.73 fof(fc12_relat_1,axiom,
% 0.65/0.73 ( empty(empty_set)
% 0.65/0.73 & relation(empty_set)
% 0.65/0.73 & relation_empty_yielding(empty_set) ) ).
% 0.65/0.73
% 0.65/0.73 fof(fc14_finset_1,axiom,
% 0.65/0.73 ! [A,B] :
% 0.65/0.73 ( ( finite(A)
% 0.65/0.73 & finite(B) )
% 0.65/0.73 => finite(cartesian_product2(A,B)) ) ).
% 0.65/0.73
% 0.65/0.73 fof(fc1_subset_1,axiom,
% 0.69/0.73 ! [A] : ~ empty(powerset(A)) ).
% 0.69/0.73
% 0.69/0.73 fof(fc1_xboole_0,axiom,
% 0.69/0.73 empty(empty_set) ).
% 0.69/0.73
% 0.69/0.73 fof(fc2_ordinal1,axiom,
% 0.69/0.73 ( relation(empty_set)
% 0.69/0.73 & relation_empty_yielding(empty_set)
% 0.69/0.73 & function(empty_set)
% 0.69/0.73 & one_to_one(empty_set)
% 0.69/0.73 & empty(empty_set)
% 0.69/0.73 & epsilon_transitive(empty_set)
% 0.69/0.74 & epsilon_connected(empty_set)
% 0.69/0.74 & ordinal(empty_set) ) ).
% 0.69/0.74
% 0.69/0.74 fof(fc4_relat_1,axiom,
% 0.69/0.74 ( empty(empty_set)
% 0.69/0.74 & relation(empty_set) ) ).
% 0.69/0.74
% 0.69/0.74 fof(fc4_subset_1,axiom,
% 0.69/0.74 ! [A,B] :
% 0.69/0.74 ( ( ~ empty(A)
% 0.69/0.74 & ~ empty(B) )
% 0.69/0.74 => ~ empty(cartesian_product2(A,B)) ) ).
% 0.69/0.74
% 0.69/0.74 fof(fc5_subset_1,axiom,
% 0.69/0.74 ! [A,B,C] :
% 0.69/0.74 ( ( ~ empty(A)
% 0.69/0.74 & ~ empty(B)
% 0.69/0.74 & ~ empty(C) )
% 0.69/0.74 => ~ empty(cartesian_product3(A,B,C)) ) ).
% 0.69/0.74
% 0.69/0.74 fof(fc8_arytm_3,axiom,
% 0.69/0.74 ~ empty(positive_rationals) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_arytm_3,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( ~ empty(A)
% 0.69/0.74 & epsilon_transitive(A)
% 0.69/0.74 & epsilon_connected(A)
% 0.69/0.74 & ordinal(A)
% 0.69/0.74 & natural(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_finset_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( ~ empty(A)
% 0.69/0.74 & finite(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_funcop_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & function(A)
% 0.69/0.74 & function_yielding(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_funct_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & function(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_ordinal1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( epsilon_transitive(A)
% 0.69/0.74 & epsilon_connected(A)
% 0.69/0.74 & ordinal(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_ordinal2,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( epsilon_transitive(A)
% 0.69/0.74 & epsilon_connected(A)
% 0.69/0.74 & ordinal(A)
% 0.69/0.74 & being_limit_ordinal(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_relat_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( empty(A)
% 0.69/0.74 & relation(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_subset_1,axiom,
% 0.69/0.74 ! [A] :
% 0.69/0.74 ( ~ empty(A)
% 0.69/0.74 => ? [B] :
% 0.69/0.74 ( element(B,powerset(A))
% 0.69/0.74 & ~ empty(B) ) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc1_xboole_0,axiom,
% 0.69/0.74 ? [A] : empty(A) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_arytm_3,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( element(A,positive_rationals)
% 0.69/0.74 & ~ empty(A)
% 0.69/0.74 & epsilon_transitive(A)
% 0.69/0.74 & epsilon_connected(A)
% 0.69/0.74 & ordinal(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_finset_1,axiom,
% 0.69/0.74 ! [A] :
% 0.69/0.74 ? [B] :
% 0.69/0.74 ( element(B,powerset(A))
% 0.69/0.74 & empty(B)
% 0.69/0.74 & relation(B)
% 0.69/0.74 & function(B)
% 0.69/0.74 & one_to_one(B)
% 0.69/0.74 & epsilon_transitive(B)
% 0.69/0.74 & epsilon_connected(B)
% 0.69/0.74 & ordinal(B)
% 0.69/0.74 & natural(B)
% 0.69/0.74 & finite(B) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_funct_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & empty(A)
% 0.69/0.74 & function(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_ordinal1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & function(A)
% 0.69/0.74 & one_to_one(A)
% 0.69/0.74 & empty(A)
% 0.69/0.74 & epsilon_transitive(A)
% 0.69/0.74 & epsilon_connected(A)
% 0.69/0.74 & ordinal(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_ordinal2,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & function(A)
% 0.69/0.74 & transfinite_sequence(A)
% 0.69/0.74 & ordinal_yielding(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_relat_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( ~ empty(A)
% 0.69/0.74 & relation(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_subset_1,axiom,
% 0.69/0.74 ! [A] :
% 0.69/0.74 ? [B] :
% 0.69/0.74 ( element(B,powerset(A))
% 0.69/0.74 & empty(B) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc2_xboole_0,axiom,
% 0.69/0.74 ? [A] : ~ empty(A) ).
% 0.69/0.74
% 0.69/0.74 fof(rc3_arytm_3,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( element(A,positive_rationals)
% 0.69/0.74 & empty(A)
% 0.69/0.74 & epsilon_transitive(A)
% 0.69/0.74 & epsilon_connected(A)
% 0.69/0.74 & ordinal(A)
% 0.69/0.74 & natural(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc3_finset_1,axiom,
% 0.69/0.74 ! [A] :
% 0.69/0.74 ( ~ empty(A)
% 0.69/0.74 => ? [B] :
% 0.69/0.74 ( element(B,powerset(A))
% 0.69/0.74 & ~ empty(B)
% 0.69/0.74 & finite(B) ) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc3_funct_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & function(A)
% 0.69/0.74 & one_to_one(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc3_ordinal1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( ~ empty(A)
% 0.69/0.74 & epsilon_transitive(A)
% 0.69/0.74 & epsilon_connected(A)
% 0.69/0.74 & ordinal(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc3_relat_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & relation_empty_yielding(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc4_funct_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & relation_empty_yielding(A)
% 0.69/0.74 & function(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc4_ordinal1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & function(A)
% 0.69/0.74 & transfinite_sequence(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(rc5_funct_1,axiom,
% 0.69/0.74 ? [A] :
% 0.69/0.74 ( relation(A)
% 0.69/0.74 & relation_non_empty(A)
% 0.69/0.74 & function(A) ) ).
% 0.69/0.74
% 0.69/0.74 fof(reflexivity_r1_tarski,axiom,
% 0.69/0.74 ! [A,B] : subset(A,A) ).
% 0.69/0.74
% 0.69/0.74 fof(t19_finset_1,axiom,
% 0.69/0.74 ! [A,B] :
% 0.69/0.74 ( ( finite(A)
% 0.69/0.74 & finite(B) )
% 0.69/0.74 => finite(cartesian_product2(A,B)) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t1_subset,axiom,
% 0.69/0.74 ! [A,B] :
% 0.69/0.74 ( in(A,B)
% 0.69/0.74 => element(A,B) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t20_finset_1,conjecture,
% 0.69/0.74 ! [A,B,C] :
% 0.69/0.74 ( ( finite(A)
% 0.69/0.74 & finite(B)
% 0.69/0.74 & finite(C) )
% 0.69/0.74 => finite(cartesian_product3(A,B,C)) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t2_subset,axiom,
% 0.69/0.74 ! [A,B] :
% 0.69/0.74 ( element(A,B)
% 0.69/0.74 => ( empty(B)
% 0.69/0.74 | in(A,B) ) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t3_subset,axiom,
% 0.69/0.74 ! [A,B] :
% 0.69/0.74 ( element(A,powerset(B))
% 0.69/0.74 <=> subset(A,B) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t4_subset,axiom,
% 0.69/0.74 ! [A,B,C] :
% 0.69/0.74 ( ( in(A,B)
% 0.69/0.74 & element(B,powerset(C)) )
% 0.69/0.74 => element(A,C) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t5_subset,axiom,
% 0.69/0.74 ! [A,B,C] :
% 0.69/0.74 ~ ( in(A,B)
% 0.69/0.74 & element(B,powerset(C))
% 0.69/0.74 & empty(C) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t6_boole,axiom,
% 0.69/0.74 ! [A] :
% 0.69/0.74 ( empty(A)
% 0.69/0.74 => A = empty_set ) ).
% 0.69/0.74
% 0.69/0.74 fof(t7_boole,axiom,
% 0.69/0.74 ! [A,B] :
% 0.69/0.74 ~ ( in(A,B)
% 0.69/0.74 & empty(B) ) ).
% 0.69/0.74
% 0.69/0.74 fof(t8_boole,axiom,
% 0.69/0.74 ! [A,B] :
% 0.69/0.74 ~ ( empty(A)
% 0.69/0.74 & A != B
% 0.69/0.74 & empty(B) ) ).
% 0.69/0.74
% 0.69/0.74 %------------------------------------------------------------------------------
% 0.69/0.74 %-------------------------------------------
% 0.69/0.74 % Proof found
% 0.69/0.74 % SZS status Theorem for theBenchmark
% 0.69/0.74 % SZS output start Proof
% 0.69/0.74 %ClaNum:174(EqnAxiom:32)
% 0.69/0.74 %VarNum:135(SingletonVarNum:71)
% 0.69/0.74 %MaxLitNum:4
% 0.69/0.74 %MaxfuncDepth:2
% 0.69/0.74 %SharedTerms:109
% 0.69/0.74 %goalClause: 67 68 69 134
% 0.69/0.74 %singleGoalClaCount:4
% 0.69/0.74 [33]P1(a1)
% 0.69/0.74 [34]P1(a3)
% 0.69/0.74 [35]P1(a25)
% 0.69/0.74 [36]P1(a29)
% 0.69/0.74 [37]P1(a4)
% 0.69/0.74 [38]P1(a6)
% 0.69/0.74 [39]P1(a9)
% 0.69/0.74 [40]P1(a14)
% 0.69/0.74 [41]P2(a1)
% 0.69/0.74 [42]P2(a3)
% 0.69/0.74 [43]P2(a25)
% 0.69/0.74 [44]P2(a29)
% 0.69/0.74 [45]P2(a4)
% 0.69/0.74 [46]P2(a6)
% 0.69/0.74 [47]P2(a9)
% 0.69/0.74 [48]P2(a14)
% 0.69/0.74 [49]P3(a1)
% 0.69/0.74 [50]P3(a3)
% 0.69/0.74 [51]P3(a25)
% 0.69/0.74 [52]P3(a29)
% 0.69/0.74 [53]P3(a4)
% 0.69/0.74 [54]P3(a6)
% 0.69/0.74 [55]P3(a9)
% 0.69/0.74 [56]P3(a14)
% 0.69/0.75 [60]P4(a1)
% 0.69/0.75 [61]P4(a30)
% 0.69/0.75 [62]P4(a5)
% 0.69/0.75 [63]P4(a7)
% 0.69/0.75 [64]P4(a6)
% 0.69/0.75 [65]P4(a9)
% 0.69/0.75 [66]P7(a26)
% 0.69/0.75 [67]P7(a18)
% 0.69/0.75 [68]P7(a23)
% 0.69/0.75 [69]P7(a24)
% 0.69/0.75 [70]P8(a1)
% 0.69/0.75 [71]P8(a27)
% 0.69/0.75 [72]P8(a28)
% 0.69/0.75 [73]P8(a7)
% 0.69/0.75 [74]P8(a6)
% 0.69/0.75 [75]P8(a10)
% 0.69/0.75 [76]P8(a15)
% 0.69/0.75 [77]P8(a19)
% 0.69/0.75 [78]P8(a21)
% 0.69/0.75 [79]P8(a22)
% 0.69/0.75 [82]P13(a1)
% 0.69/0.75 [83]P13(a27)
% 0.69/0.75 [84]P13(a28)
% 0.69/0.75 [85]P13(a30)
% 0.69/0.75 [86]P13(a7)
% 0.69/0.75 [87]P13(a6)
% 0.69/0.75 [88]P13(a10)
% 0.69/0.75 [89]P13(a11)
% 0.69/0.75 [90]P13(a15)
% 0.69/0.75 [91]P13(a20)
% 0.69/0.75 [92]P13(a19)
% 0.69/0.75 [93]P13(a21)
% 0.69/0.75 [94]P13(a22)
% 0.69/0.75 [95]P9(a3)
% 0.69/0.75 [96]P9(a9)
% 0.69/0.75 [97]P12(a1)
% 0.69/0.75 [98]P12(a6)
% 0.69/0.75 [99]P12(a15)
% 0.69/0.75 [101]P15(a1)
% 0.69/0.75 [102]P15(a20)
% 0.69/0.75 [103]P15(a19)
% 0.69/0.75 [104]P10(a27)
% 0.69/0.75 [105]P5(a29)
% 0.69/0.75 [106]P16(a10)
% 0.69/0.75 [107]P16(a21)
% 0.69/0.75 [108]P14(a10)
% 0.69/0.75 [109]P17(a22)
% 0.69/0.75 [120]P6(a4,a31)
% 0.69/0.75 [121]P6(a9,a31)
% 0.69/0.75 [126]~P4(a31)
% 0.69/0.75 [127]~P4(a3)
% 0.69/0.75 [128]~P4(a26)
% 0.69/0.75 [129]~P4(a4)
% 0.69/0.75 [130]~P4(a11)
% 0.69/0.75 [131]~P4(a13)
% 0.69/0.75 [132]~P4(a14)
% 0.69/0.75 [134]~P7(f2(f2(a18,a23),a24))
% 0.69/0.75 [122]P18(x1221,x1221)
% 0.69/0.75 [110]P1(f8(x1101))
% 0.69/0.75 [111]P2(f8(x1111))
% 0.69/0.75 [112]P3(f8(x1121))
% 0.69/0.75 [113]P4(f8(x1131))
% 0.69/0.75 [114]P4(f12(x1141))
% 0.69/0.75 [115]P7(f8(x1151))
% 0.69/0.75 [116]P8(f8(x1161))
% 0.69/0.75 [117]P13(f8(x1171))
% 0.69/0.75 [118]P9(f8(x1181))
% 0.69/0.75 [119]P12(f8(x1191))
% 0.69/0.75 [123]P6(f16(x1231),x1231)
% 0.69/0.75 [124]P6(f8(x1241),f33(x1241))
% 0.69/0.75 [125]P6(f12(x1251),f33(x1251))
% 0.69/0.75 [133]~P4(f33(x1331))
% 0.69/0.75 [135]~P4(x1351)+E(x1351,a1)
% 0.69/0.75 [136]~P4(x1361)+P1(x1361)
% 0.69/0.75 [137]~P1(x1371)+P2(x1371)
% 0.69/0.75 [138]~P4(x1381)+P2(x1381)
% 0.69/0.75 [139]~P1(x1391)+P3(x1391)
% 0.69/0.75 [140]~P4(x1401)+P3(x1401)
% 0.69/0.75 [141]~P4(x1411)+P7(x1411)
% 0.69/0.75 [142]~P4(x1421)+P8(x1421)
% 0.69/0.75 [143]~P4(x1431)+P13(x1431)
% 0.69/0.75 [144]P4(x1441)+P7(f17(x1441))
% 0.69/0.75 [150]P4(x1501)+~P4(f32(x1501))
% 0.69/0.75 [151]P4(x1511)+~P4(f17(x1511))
% 0.69/0.75 [154]P4(x1541)+P6(f32(x1541),f33(x1541))
% 0.69/0.75 [155]P4(x1551)+P6(f17(x1551),f33(x1551))
% 0.69/0.75 [153]~P4(x1531)+~P11(x1532,x1531)
% 0.69/0.75 [162]~P11(x1621,x1622)+P6(x1621,x1622)
% 0.69/0.75 [168]~P11(x1682,x1681)+~P11(x1681,x1682)
% 0.69/0.75 [164]~P18(x1641,x1642)+P6(x1641,f33(x1642))
% 0.69/0.75 [169]P18(x1691,x1692)+~P6(x1691,f33(x1692))
% 0.69/0.75 [173]P13(x1731)+~P6(x1731,f33(f2(x1732,x1733)))
% 0.69/0.75 [146]~P2(x1461)+~P3(x1461)+P1(x1461)
% 0.69/0.75 [149]~P1(x1491)+~P4(x1491)+P9(x1491)
% 0.69/0.75 [158]~P1(x1581)+P9(x1581)+~P6(x1581,a31)
% 0.69/0.75 [145]~P4(x1452)+~P4(x1451)+E(x1451,x1452)
% 0.69/0.75 [159]~P6(x1591,x1592)+P1(x1591)+~P1(x1592)
% 0.69/0.75 [160]~P6(x1601,x1602)+P2(x1601)+~P1(x1602)
% 0.69/0.75 [161]~P6(x1611,x1612)+P3(x1611)+~P1(x1612)
% 0.69/0.75 [163]~P6(x1632,x1631)+P4(x1631)+P11(x1632,x1631)
% 0.69/0.75 [165]P7(x1651)+~P7(x1652)+~P6(x1651,f33(x1652))
% 0.69/0.75 [167]~P7(x1672)+~P7(x1671)+P7(f2(x1671,x1672))
% 0.69/0.75 [170]P4(x1701)+P4(x1702)+~P4(f2(x1702,x1701))
% 0.69/0.75 [171]~P4(x1711)+~P11(x1712,x1713)+~P6(x1713,f33(x1711))
% 0.69/0.75 [172]P6(x1721,x1722)+~P11(x1721,x1723)+~P6(x1723,f33(x1722))
% 0.69/0.75 [152]~P4(x1521)+~P8(x1521)+~P13(x1521)+P12(x1521)
% 0.69/0.75 [174]P4(x1741)+P4(x1742)+P4(x1743)+~P4(f2(f2(x1743,x1742),x1741))
% 0.69/0.75 %EqnAxiom
% 0.69/0.75 [1]E(x11,x11)
% 0.69/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.69/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.69/0.75 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.69/0.75 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.69/0.75 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.69/0.75 [7]~E(x71,x72)+E(f33(x71),f33(x72))
% 0.69/0.75 [8]~E(x81,x82)+E(f17(x81),f17(x82))
% 0.69/0.75 [9]~E(x91,x92)+E(f12(x91),f12(x92))
% 0.69/0.75 [10]~E(x101,x102)+E(f32(x101),f32(x102))
% 0.69/0.75 [11]~E(x111,x112)+E(f16(x111),f16(x112))
% 0.69/0.75 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 0.69/0.75 [13]~P4(x131)+P4(x132)+~E(x131,x132)
% 0.69/0.75 [14]~P7(x141)+P7(x142)+~E(x141,x142)
% 0.69/0.75 [15]~P9(x151)+P9(x152)+~E(x151,x152)
% 0.69/0.75 [16]~P12(x161)+P12(x162)+~E(x161,x162)
% 0.69/0.75 [17]P6(x172,x173)+~E(x171,x172)+~P6(x171,x173)
% 0.69/0.75 [18]P6(x183,x182)+~E(x181,x182)+~P6(x183,x181)
% 0.69/0.75 [19]~P13(x191)+P13(x192)+~E(x191,x192)
% 0.69/0.75 [20]~P2(x201)+P2(x202)+~E(x201,x202)
% 0.69/0.75 [21]~P15(x211)+P15(x212)+~E(x211,x212)
% 0.69/0.75 [22]~P17(x221)+P17(x222)+~E(x221,x222)
% 0.69/0.75 [23]P11(x232,x233)+~E(x231,x232)+~P11(x231,x233)
% 0.69/0.75 [24]P11(x243,x242)+~E(x241,x242)+~P11(x243,x241)
% 0.69/0.75 [25]~P3(x251)+P3(x252)+~E(x251,x252)
% 0.69/0.75 [26]~P8(x261)+P8(x262)+~E(x261,x262)
% 0.69/0.75 [27]P18(x272,x273)+~E(x271,x272)+~P18(x271,x273)
% 0.69/0.75 [28]P18(x283,x282)+~E(x281,x282)+~P18(x283,x281)
% 0.69/0.75 [29]~P5(x291)+P5(x292)+~E(x291,x292)
% 0.69/0.75 [30]~P14(x301)+P14(x302)+~E(x301,x302)
% 0.69/0.75 [31]~P16(x311)+P16(x312)+~E(x311,x312)
% 0.69/0.75 [32]~P10(x321)+P10(x322)+~E(x321,x322)
% 0.69/0.75
% 0.69/0.75 %-------------------------------------------
% 0.69/0.75 cnf(181,plain,
% 0.69/0.75 (P6(f16(x1811),x1811)),
% 0.69/0.75 inference(rename_variables,[],[123])).
% 0.69/0.75 cnf(190,plain,
% 0.69/0.75 (P6(f16(x1901),x1901)),
% 0.69/0.75 inference(rename_variables,[],[123])).
% 0.69/0.75 cnf(195,plain,
% 0.69/0.75 (~P7(f2(a18,a23))),
% 0.69/0.75 inference(scs_inference,[],[67,69,33,37,60,120,126,134,123,181,190,125,153,141,173,169,163,158,149,171,165,167])).
% 0.69/0.75 cnf(199,plain,
% 0.69/0.75 (~P11(a31,a4)),
% 0.69/0.75 inference(scs_inference,[],[67,69,33,37,60,63,73,86,120,126,134,123,181,190,125,153,141,173,169,163,158,149,171,165,167,152,168])).
% 0.69/0.75 cnf(359,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(scs_inference,[],[68,129,123,199,195,67,165,163,167]),
% 0.69/0.75 ['proof']).
% 0.69/0.75 % SZS output end Proof
% 0.69/0.75 % Total time :0.140000s
%------------------------------------------------------------------------------