TSTP Solution File: GRP644+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 00:12:49 EDT 2023
% Result : Theorem 0.81s 0.81s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 20:28:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.46/0.61 start to proof:theBenchmark
% 0.60/0.79 %-------------------------------------------
% 0.60/0.79 % File :CSE---1.6
% 0.60/0.80 % Problem :theBenchmark
% 0.60/0.80 % Transform :cnf
% 0.60/0.80 % Format :tptp:raw
% 0.60/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.60/0.80
% 0.60/0.80 % Result :Theorem 0.120000s
% 0.60/0.80 % Output :CNFRefutation 0.120000s
% 0.60/0.80 %-------------------------------------------
% 0.60/0.80 %------------------------------------------------------------------------------
% 0.60/0.80 % File : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% 0.60/0.80 % Domain : Group Theory
% 0.60/0.80 % Problem : On the Lattice of Subgroups of a Group T22
% 0.60/0.80 % Version : [Urb08] axioms : Especial.
% 0.60/0.80 % English :
% 0.60/0.80
% 0.60/0.80 % Refs : [Gan96] Ganczarski (1996), On the Lattice of Subgroups of a Gr
% 0.60/0.80 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.60/0.80 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.60/0.80 % Source : [Urb08]
% 0.60/0.80 % Names : t22_latsubgr [Urb08]
% 0.60/0.80
% 0.60/0.80 % Status : Theorem
% 0.60/0.80 % Rating : 0.14 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.13 v6.0.0, 0.17 v5.5.0, 0.11 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.10 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0
% 0.60/0.80 % Syntax : Number of formulae : 55 ( 19 unt; 0 def)
% 0.60/0.80 % Number of atoms : 167 ( 6 equ)
% 0.60/0.80 % Maximal formula atoms : 9 ( 3 avg)
% 0.60/0.80 % Number of connectives : 143 ( 31 ~; 1 |; 65 &)
% 0.60/0.80 % ( 3 <=>; 43 =>; 0 <=; 0 <~>)
% 0.60/0.80 % Maximal formula depth : 10 ( 5 avg)
% 0.60/0.80 % Maximal term depth : 3 ( 1 avg)
% 0.60/0.80 % Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% 0.60/0.80 % Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% 0.60/0.80 % Number of variables : 94 ( 80 !; 14 ?)
% 0.60/0.80 % SPC : FOF_THM_RFO_SEQ
% 0.60/0.80
% 0.60/0.80 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.60/0.80 % other articles) and background that are possibly necessary.
% 0.60/0.80 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.60/0.80 % : The problem encoding is based on set theory.
% 0.60/0.80 %------------------------------------------------------------------------------
% 0.60/0.80 fof(t22_latsubgr,conjecture,
% 0.60/0.80 ! [A] :
% 0.60/0.80 ( ( ~ v3_struct_0(A)
% 0.60/0.80 & v3_group_1(A)
% 0.60/0.80 & v4_group_1(A)
% 0.60/0.80 & l1_group_1(A) )
% 0.60/0.80 => ! [B] :
% 0.60/0.80 ( ( v1_group_1(B)
% 0.60/0.80 & m1_group_2(B,A) )
% 0.60/0.80 => ! [C] :
% 0.60/0.80 ( m1_subset_1(C,u1_struct_0(A))
% 0.60/0.80 => ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
% 0.60/0.80 => r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ).
% 0.60/0.80
% 0.60/0.80 fof(abstractness_v1_group_1,axiom,
% 0.60/0.80 ! [A] :
% 0.60/0.80 ( l1_group_1(A)
% 0.60/0.80 => ( v1_group_1(A)
% 0.60/0.80 => A = g1_group_1(u1_struct_0(A),u1_group_1(A)) ) ) ).
% 0.60/0.80
% 0.60/0.80 fof(antisymmetry_r2_hidden,axiom,
% 0.60/0.80 ! [A,B] :
% 0.60/0.80 ( r2_hidden(A,B)
% 0.60/0.80 => ~ r2_hidden(B,A) ) ).
% 0.60/0.80
% 0.60/0.80 fof(cc1_funct_2,axiom,
% 0.60/0.80 ! [A,B,C] :
% 0.60/0.80 ( m1_relset_1(C,A,B)
% 0.60/0.80 => ( ( v1_funct_1(C)
% 0.60/0.80 & v1_partfun1(C,A,B) )
% 0.60/0.80 => ( v1_funct_1(C)
% 0.60/0.80 & v1_funct_2(C,A,B) ) ) ) ).
% 0.60/0.80
% 0.60/0.80 fof(cc1_relset_1,axiom,
% 0.60/0.80 ! [A,B,C] :
% 0.60/0.80 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.60/0.80 => v1_relat_1(C) ) ).
% 0.60/0.80
% 0.60/0.80 fof(cc5_funct_2,axiom,
% 0.60/0.80 ! [A,B] :
% 0.60/0.80 ( ~ v1_xboole_0(B)
% 0.60/0.80 => ! [C] :
% 0.60/0.80 ( m1_relset_1(C,A,B)
% 0.60/0.80 => ( ( v1_funct_1(C)
% 0.60/0.80 & v1_funct_2(C,A,B) )
% 0.60/0.80 => ( v1_funct_1(C)
% 0.60/0.80 & v1_partfun1(C,A,B)
% 0.60/0.80 & v1_funct_2(C,A,B) ) ) ) ) ).
% 0.60/0.80
% 0.60/0.80 fof(cc6_funct_2,axiom,
% 0.60/0.80 ! [A,B] :
% 0.60/0.80 ( ( ~ v1_xboole_0(A)
% 0.60/0.80 & ~ v1_xboole_0(B) )
% 0.60/0.80 => ! [C] :
% 0.60/0.80 ( m1_relset_1(C,A,B)
% 0.60/0.80 => ( ( v1_funct_1(C)
% 0.60/0.80 & v1_funct_2(C,A,B) )
% 0.60/0.80 => ( v1_funct_1(C)
% 0.60/0.80 & ~ v1_xboole_0(C)
% 0.60/0.80 & v1_partfun1(C,A,B)
% 0.60/0.80 & v1_funct_2(C,A,B) ) ) ) ) ).
% 0.60/0.80
% 0.60/0.80 fof(dt_g1_group_1,axiom,
% 0.60/0.80 ! [A,B] :
% 0.60/0.80 ( ( v1_funct_1(B)
% 0.60/0.80 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 0.60/0.80 & m1_relset_1(B,k2_zfmisc_1(A,A),A) )
% 0.60/0.80 => ( v1_group_1(g1_group_1(A,B))
% 0.60/0.80 & l1_group_1(g1_group_1(A,B)) ) ) ).
% 0.60/0.80
% 0.60/0.80 fof(dt_k1_funct_1,axiom,
% 0.60/0.80 $true ).
% 0.60/0.80
% 0.60/0.80 fof(dt_k1_group_3,axiom,
% 0.60/0.80 $true ).
% 0.60/0.80
% 0.60/0.80 fof(dt_k1_latsubgr,axiom,
% 0.60/0.80 ! [A] :
% 0.60/0.80 ( ( ~ v3_struct_0(A)
% 0.60/0.80 & v3_group_1(A)
% 0.60/0.80 & v4_group_1(A)
% 0.60/0.80 & l1_group_1(A) )
% 0.60/0.80 => ( v1_funct_1(k1_latsubgr(A))
% 0.60/0.80 & v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
% 0.60/0.80 & m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) ) ) ).
% 0.60/0.80
% 0.60/0.80 fof(dt_k1_xboole_0,axiom,
% 0.60/0.80 $true ).
% 0.60/0.80
% 0.60/0.80 fof(dt_k1_zfmisc_1,axiom,
% 0.60/0.80 $true ).
% 0.60/0.80
% 0.60/0.80 fof(dt_k2_zfmisc_1,axiom,
% 0.60/0.80 $true ).
% 0.60/0.80
% 0.60/0.80 fof(dt_k3_group_1,axiom,
% 0.60/0.80 ! [A,B] :
% 0.60/0.80 ( ( ~ v3_struct_0(A)
% 0.60/0.80 & v3_group_1(A)
% 0.60/0.80 & v4_group_1(A)
% 0.60/0.80 & l1_group_1(A)
% 0.60/0.80 & m1_subset_1(B,u1_struct_0(A)) )
% 0.60/0.80 => m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ) ).
% 0.60/0.80
% 0.60/0.81 fof(dt_l1_group_1,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ( l1_group_1(A)
% 0.60/0.81 => l1_struct_0(A) ) ).
% 0.60/0.81
% 0.60/0.81 fof(dt_l1_struct_0,axiom,
% 0.60/0.81 $true ).
% 0.60/0.81
% 0.60/0.81 fof(dt_m1_group_2,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ( ( ~ v3_struct_0(A)
% 0.60/0.81 & v3_group_1(A)
% 0.60/0.81 & l1_group_1(A) )
% 0.60/0.81 => ! [B] :
% 0.60/0.81 ( m1_group_2(B,A)
% 0.60/0.81 => ( ~ v3_struct_0(B)
% 0.60/0.81 & v3_group_1(B)
% 0.60/0.81 & l1_group_1(B) ) ) ) ).
% 0.60/0.81
% 0.60/0.81 fof(dt_m1_relset_1,axiom,
% 0.60/0.81 $true ).
% 0.60/0.81
% 0.60/0.81 fof(dt_m1_subset_1,axiom,
% 0.60/0.81 $true ).
% 0.60/0.81
% 0.60/0.81 fof(dt_m2_relset_1,axiom,
% 0.60/0.81 ! [A,B,C] :
% 0.60/0.81 ( m2_relset_1(C,A,B)
% 0.60/0.81 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 0.60/0.81
% 0.60/0.81 fof(dt_u1_group_1,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ( l1_group_1(A)
% 0.60/0.81 => ( v1_funct_1(u1_group_1(A))
% 0.60/0.81 & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 0.60/0.81 & m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 0.60/0.81
% 0.60/0.81 fof(dt_u1_struct_0,axiom,
% 0.60/0.81 $true ).
% 0.60/0.81
% 0.60/0.81 fof(existence_l1_group_1,axiom,
% 0.60/0.81 ? [A] : l1_group_1(A) ).
% 0.60/0.81
% 0.60/0.81 fof(existence_l1_struct_0,axiom,
% 0.60/0.81 ? [A] : l1_struct_0(A) ).
% 0.60/0.81
% 0.60/0.81 fof(existence_m1_group_2,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ( ( ~ v3_struct_0(A)
% 0.60/0.81 & v3_group_1(A)
% 0.60/0.81 & l1_group_1(A) )
% 0.60/0.81 => ? [B] : m1_group_2(B,A) ) ).
% 0.60/0.81
% 0.60/0.81 fof(existence_m1_relset_1,axiom,
% 0.60/0.81 ! [A,B] :
% 0.60/0.81 ? [C] : m1_relset_1(C,A,B) ).
% 0.60/0.81
% 0.60/0.81 fof(existence_m1_subset_1,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ? [B] : m1_subset_1(B,A) ).
% 0.60/0.81
% 0.60/0.81 fof(existence_m2_relset_1,axiom,
% 0.60/0.81 ! [A,B] :
% 0.60/0.81 ? [C] : m2_relset_1(C,A,B) ).
% 0.60/0.81
% 0.60/0.81 fof(fc1_group_3,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ( ( ~ v3_struct_0(A)
% 0.60/0.81 & v3_group_1(A)
% 0.60/0.81 & v4_group_1(A)
% 0.60/0.81 & l1_group_1(A) )
% 0.60/0.81 => ~ v1_xboole_0(k1_group_3(A)) ) ).
% 0.60/0.81
% 0.60/0.81 fof(fc1_struct_0,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ( ( ~ v3_struct_0(A)
% 0.60/0.81 & l1_struct_0(A) )
% 0.60/0.81 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 0.60/0.81
% 0.60/0.81 fof(fc1_subset_1,axiom,
% 0.60/0.81 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 0.60/0.81
% 0.60/0.81 fof(fc1_xboole_0,axiom,
% 0.60/0.81 v1_xboole_0(k1_xboole_0) ).
% 0.60/0.81
% 0.60/0.81 fof(fc4_subset_1,axiom,
% 0.60/0.81 ! [A,B] :
% 0.60/0.81 ( ( ~ v1_xboole_0(A)
% 0.60/0.81 & ~ v1_xboole_0(B) )
% 0.60/0.81 => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ).
% 0.60/0.81
% 0.60/0.81 fof(free_g1_group_1,axiom,
% 0.60/0.81 ! [A,B] :
% 0.60/0.81 ( ( v1_funct_1(B)
% 0.60/0.81 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 0.60/0.81 & m1_relset_1(B,k2_zfmisc_1(A,A),A) )
% 0.60/0.81 => ! [C,D] :
% 0.60/0.81 ( g1_group_1(A,B) = g1_group_1(C,D)
% 0.60/0.81 => ( A = C
% 0.60/0.81 & B = D ) ) ) ).
% 0.60/0.81
% 0.60/0.81 fof(rc1_funct_2,axiom,
% 0.60/0.81 ! [A,B] :
% 0.60/0.81 ? [C] :
% 0.60/0.81 ( m1_relset_1(C,A,B)
% 0.60/0.81 & v1_relat_1(C)
% 0.60/0.81 & v1_funct_1(C)
% 0.60/0.81 & v1_funct_2(C,A,B) ) ).
% 0.60/0.81
% 0.60/0.81 fof(rc1_subset_1,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ( ~ v1_xboole_0(A)
% 0.60/0.81 => ? [B] :
% 0.60/0.81 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.60/0.81 & ~ v1_xboole_0(B) ) ) ).
% 0.60/0.81
% 0.60/0.81 fof(rc1_xboole_0,axiom,
% 0.60/0.81 ? [A] : v1_xboole_0(A) ).
% 0.60/0.81
% 0.60/0.81 fof(rc2_partfun1,axiom,
% 0.60/0.81 ! [A,B] :
% 0.60/0.81 ? [C] :
% 0.60/0.81 ( m1_relset_1(C,A,B)
% 0.60/0.81 & v1_relat_1(C)
% 0.60/0.81 & v1_funct_1(C) ) ).
% 0.60/0.81
% 0.60/0.81 fof(rc2_subset_1,axiom,
% 0.60/0.81 ! [A] :
% 0.60/0.81 ? [B] :
% 0.60/0.81 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.60/0.81 & v1_xboole_0(B) ) ).
% 0.60/0.81
% 0.60/0.81 fof(rc2_xboole_0,axiom,
% 0.60/0.81 ? [A] : ~ v1_xboole_0(A) ).
% 0.81/0.81
% 0.81/0.81 fof(rc3_struct_0,axiom,
% 0.81/0.81 ? [A] :
% 0.81/0.81 ( l1_struct_0(A)
% 0.81/0.81 & ~ v3_struct_0(A) ) ).
% 0.81/0.81
% 0.81/0.81 fof(rc5_struct_0,axiom,
% 0.81/0.81 ! [A] :
% 0.81/0.81 ( ( ~ v3_struct_0(A)
% 0.81/0.81 & l1_struct_0(A) )
% 0.81/0.81 => ? [B] :
% 0.81/0.81 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 0.81/0.81 & ~ v1_xboole_0(B) ) ) ).
% 0.81/0.81
% 0.81/0.81 fof(redefinition_m2_relset_1,axiom,
% 0.81/0.81 ! [A,B,C] :
% 0.81/0.81 ( m2_relset_1(C,A,B)
% 0.81/0.81 <=> m1_relset_1(C,A,B) ) ).
% 0.81/0.81
% 0.81/0.81 fof(reflexivity_r1_tarski,axiom,
% 0.81/0.81 ! [A,B] : r1_tarski(A,A) ).
% 0.81/0.81
% 0.81/0.81 fof(t18_latsubgr,axiom,
% 0.81/0.81 ! [A] :
% 0.81/0.81 ( ( ~ v3_struct_0(A)
% 0.81/0.81 & v3_group_1(A)
% 0.81/0.81 & v4_group_1(A)
% 0.81/0.81 & l1_group_1(A) )
% 0.81/0.81 => ! [B] :
% 0.81/0.81 ( ( v1_group_1(B)
% 0.81/0.81 & m1_group_2(B,A) )
% 0.81/0.81 => ! [C] :
% 0.81/0.81 ( m1_subset_1(C,u1_struct_0(A))
% 0.81/0.81 => ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
% 0.81/0.81 <=> r1_rlvect_1(B,C) ) ) ) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t1_subset,axiom,
% 0.81/0.81 ! [A,B] :
% 0.81/0.81 ( r2_hidden(A,B)
% 0.81/0.81 => m1_subset_1(A,B) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t2_subset,axiom,
% 0.81/0.81 ! [A,B] :
% 0.81/0.81 ( m1_subset_1(A,B)
% 0.81/0.81 => ( v1_xboole_0(B)
% 0.81/0.81 | r2_hidden(A,B) ) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t3_subset,axiom,
% 0.81/0.81 ! [A,B] :
% 0.81/0.81 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.81/0.81 <=> r1_tarski(A,B) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t4_subset,axiom,
% 0.81/0.81 ! [A,B,C] :
% 0.81/0.81 ( ( r2_hidden(A,B)
% 0.81/0.81 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.81/0.81 => m1_subset_1(A,C) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t5_subset,axiom,
% 0.81/0.81 ! [A,B,C] :
% 0.81/0.81 ~ ( r2_hidden(A,B)
% 0.81/0.81 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.81/0.81 & v1_xboole_0(C) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t60_group_2,axiom,
% 0.81/0.81 ! [A] :
% 0.81/0.81 ( ( ~ v3_struct_0(A)
% 0.81/0.81 & v3_group_1(A)
% 0.81/0.81 & v4_group_1(A)
% 0.81/0.81 & l1_group_1(A) )
% 0.81/0.81 => ! [B] :
% 0.81/0.81 ( m1_subset_1(B,u1_struct_0(A))
% 0.81/0.81 => ! [C] :
% 0.81/0.81 ( m1_group_2(C,A)
% 0.81/0.81 => ( r1_rlvect_1(C,B)
% 0.81/0.81 => r1_rlvect_1(C,k3_group_1(A,B)) ) ) ) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t6_boole,axiom,
% 0.81/0.81 ! [A] :
% 0.81/0.81 ( v1_xboole_0(A)
% 0.81/0.81 => A = k1_xboole_0 ) ).
% 0.81/0.81
% 0.81/0.81 fof(t7_boole,axiom,
% 0.81/0.81 ! [A,B] :
% 0.81/0.81 ~ ( r2_hidden(A,B)
% 0.81/0.81 & v1_xboole_0(B) ) ).
% 0.81/0.81
% 0.81/0.81 fof(t8_boole,axiom,
% 0.81/0.81 ! [A,B] :
% 0.81/0.81 ~ ( v1_xboole_0(A)
% 0.81/0.81 & A != B
% 0.81/0.81 & v1_xboole_0(B) ) ).
% 0.81/0.81
% 0.81/0.81 %------------------------------------------------------------------------------
% 0.81/0.81 %-------------------------------------------
% 0.81/0.81 % Proof found
% 0.81/0.81 % SZS status Theorem for theBenchmark
% 0.81/0.81 % SZS output start Proof
% 0.81/0.81 %ClaNum:135(EqnAxiom:60)
% 0.81/0.81 %VarNum:317(SingletonVarNum:111)
% 0.81/0.81 %MaxLitNum:9
% 0.81/0.81 %MaxfuncDepth:2
% 0.81/0.81 %SharedTerms:29
% 0.81/0.81 %goalClause: 61 62 63 65 71 73 80 86 90
% 0.81/0.81 %singleGoalClaCount:9
% 0.81/0.81 [61]P1(a1)
% 0.81/0.81 [62]P17(a1)
% 0.81/0.81 [63]P2(a1)
% 0.81/0.81 [64]P2(a10)
% 0.81/0.81 [65]P3(a11)
% 0.81/0.81 [66]P14(a13)
% 0.81/0.81 [67]P14(a2)
% 0.81/0.81 [68]P4(a14)
% 0.81/0.81 [69]P4(a5)
% 0.81/0.81 [71]P5(a11,a1)
% 0.81/0.81 [86]~P18(a1)
% 0.81/0.81 [87]~P18(a5)
% 0.81/0.81 [88]~P14(a8)
% 0.81/0.81 [73]P7(a12,f23(a1))
% 0.81/0.81 [80]P12(a12,f19(f18(a1),a11))
% 0.81/0.81 [90]~P12(f25(a1,a12),f19(f18(a1),a11))
% 0.81/0.81 [72]P6(x721,x721)
% 0.81/0.81 [70]P14(f6(x701))
% 0.81/0.81 [74]P7(f15(x741),x741)
% 0.81/0.81 [75]P7(f6(x751),f24(x751))
% 0.81/0.81 [89]~P14(f24(x891))
% 0.81/0.81 [76]P11(f3(x761,x762))
% 0.81/0.81 [77]P11(f7(x771,x772))
% 0.81/0.81 [78]P15(f3(x781,x782))
% 0.81/0.81 [79]P15(f7(x791,x792))
% 0.81/0.81 [81]P8(f16(x811,x812),x811,x812)
% 0.81/0.81 [82]P8(f3(x821,x822),x821,x822)
% 0.81/0.81 [83]P8(f7(x831,x832),x831,x832)
% 0.81/0.81 [84]P13(f3(x841,x842),x841,x842)
% 0.81/0.81 [85]P9(f20(x851,x852),x851,x852)
% 0.81/0.81 [91]~P14(x911)+E(x911,a13)
% 0.81/0.81 [92]~P2(x921)+P4(x921)
% 0.81/0.81 [94]~P2(x941)+P11(f27(x941))
% 0.81/0.81 [95]P14(x951)+~P14(f4(x951))
% 0.81/0.81 [99]P14(x991)+P7(f4(x991),f24(x991))
% 0.81/0.81 [120]~P2(x1201)+P13(f27(x1201),f26(f23(x1201),f23(x1201)),f23(x1201))
% 0.81/0.81 [121]~P2(x1211)+P9(f27(x1211),f26(f23(x1211),f23(x1211)),f23(x1211))
% 0.81/0.81 [98]~P14(x981)+~P12(x982,x981)
% 0.81/0.81 [101]~P12(x1011,x1012)+P7(x1011,x1012)
% 0.81/0.81 [107]~P12(x1072,x1071)+~P12(x1071,x1072)
% 0.81/0.81 [106]~P6(x1061,x1062)+P7(x1061,f24(x1062))
% 0.81/0.81 [110]P6(x1101,x1102)+~P7(x1101,f24(x1102))
% 0.81/0.81 [122]~P9(x1221,x1222,x1223)+P8(x1221,x1222,x1223)
% 0.81/0.81 [123]~P8(x1231,x1232,x1233)+P9(x1231,x1232,x1233)
% 0.81/0.81 [119]P15(x1191)+~P7(x1191,f24(f26(x1192,x1193)))
% 0.81/0.81 [125]~P9(x1251,x1252,x1253)+P7(x1251,f24(f26(x1252,x1253)))
% 0.81/0.81 [96]~P4(x961)+P18(x961)+~P14(f23(x961))
% 0.81/0.81 [97]~P4(x971)+P18(x971)+~P14(f9(x971))
% 0.81/0.81 [104]~P2(x1041)+~P3(x1041)+E(f21(f23(x1041),f27(x1041)),x1041)
% 0.81/0.81 [112]~P4(x1121)+P18(x1121)+P7(f9(x1121),f24(f23(x1121)))
% 0.81/0.81 [93]~P14(x932)+~P14(x931)+E(x931,x932)
% 0.81/0.81 [103]~P7(x1032,x1031)+P14(x1031)+P12(x1032,x1031)
% 0.81/0.81 [113]P14(x1131)+P14(x1132)+~P14(f26(x1132,x1131))
% 0.81/0.81 [114]~P14(x1141)+~P12(x1142,x1143)+~P7(x1143,f24(x1141))
% 0.81/0.81 [115]P7(x1151,x1152)+~P12(x1151,x1153)+~P7(x1153,f24(x1152))
% 0.81/0.81 [102]~P1(x1021)+~P2(x1021)+P18(x1021)+P5(f17(x1021),x1021)
% 0.81/0.81 [132]~P11(x1322)+~P8(x1322,f26(x1321,x1321),x1321)+~P13(x1322,f26(x1321,x1321),x1321)+P2(f21(x1321,x1322))
% 0.81/0.82 [133]~P11(x1332)+~P8(x1332,f26(x1331,x1331),x1331)+~P13(x1332,f26(x1331,x1331),x1331)+P3(f21(x1331,x1332))
% 0.81/0.82 [129]~P11(x1291)+~P8(x1291,x1292,x1293)+~P16(x1291,x1292,x1293)+P13(x1291,x1292,x1293)
% 0.81/0.82 [100]~P1(x1001)+~P17(x1001)+~P2(x1001)+P18(x1001)+P11(f18(x1001))
% 0.81/0.82 [105]~P1(x1051)+~P17(x1051)+~P2(x1051)+P18(x1051)+~P14(f22(x1051))
% 0.81/0.82 [117]~P1(x1171)+~P17(x1171)+~P2(x1171)+P18(x1171)+P13(f18(x1171),f22(x1171),f24(f23(x1171)))
% 0.81/0.82 [118]~P1(x1181)+~P17(x1181)+~P2(x1181)+P18(x1181)+P9(f18(x1181),f22(x1181),f24(f23(x1181)))
% 0.81/0.82 [108]~P1(x1081)+~P2(x1081)+~P5(x1082,x1081)+P18(x1081)+P1(x1082)
% 0.81/0.82 [109]~P1(x1091)+~P2(x1091)+~P5(x1092,x1091)+P18(x1091)+P2(x1092)
% 0.81/0.82 [111]~P1(x1111)+~P2(x1111)+~P5(x1112,x1111)+P18(x1111)+~P18(x1112)
% 0.81/0.82 [130]~P11(x1302)+~P8(x1302,x1303,x1301)+~P13(x1302,x1303,x1301)+P14(x1301)+P16(x1302,x1303,x1301)
% 0.81/0.82 [134]~P11(x1341)+E(x1341,x1342)+~P8(x1341,f26(x1343,x1343),x1343)+~P13(x1341,f26(x1343,x1343),x1343)+~E(f21(x1343,x1341),f21(x1344,x1342))
% 0.81/0.82 [135]~P11(x1353)+E(x1351,x1352)+~P8(x1353,f26(x1351,x1351),x1351)+~P13(x1353,f26(x1351,x1351),x1351)+~E(f21(x1351,x1353),f21(x1352,x1354))
% 0.81/0.82 [116]~P1(x1161)+~P17(x1161)+~P2(x1161)+P18(x1161)+~P7(x1162,f23(x1161))+P7(f25(x1161,x1162),f23(x1161))
% 0.81/0.82 [128]~P14(x1283)+~P8(x1283,x1282,x1281)+~P13(x1283,x1282,x1281)+P14(x1281)+P14(x1282)+~P11(x1283)
% 0.81/0.82 [124]~P1(x1241)+~P17(x1241)+~P2(x1241)+~P5(x1242,x1241)+~P10(x1242,x1243)+P18(x1241)+~P7(x1243,f23(x1241))+P10(x1242,f25(x1241,x1243))
% 0.81/0.82 [126]~P1(x1261)+~P17(x1261)+~P2(x1261)+~P3(x1263)+~P5(x1263,x1261)+~P10(x1263,x1262)+P18(x1261)+~P7(x1262,f23(x1261))+P12(x1262,f19(f18(x1261),x1263))
% 0.81/0.82 [127]~P1(x1271)+~P17(x1271)+~P2(x1271)+~P3(x1272)+~P5(x1272,x1271)+P18(x1271)+P10(x1272,x1273)+~P7(x1273,f23(x1271))+~P12(x1273,f19(f18(x1271),x1272))
% 0.81/0.82 %EqnAxiom
% 0.81/0.82 [1]E(x11,x11)
% 0.81/0.82 [2]E(x22,x21)+~E(x21,x22)
% 0.81/0.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.81/0.82 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.81/0.82 [5]~E(x51,x52)+E(f23(x51),f23(x52))
% 0.81/0.82 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 0.81/0.82 [7]~E(x71,x72)+E(f26(x71,x73),f26(x72,x73))
% 0.81/0.82 [8]~E(x81,x82)+E(f26(x83,x81),f26(x83,x82))
% 0.81/0.82 [9]~E(x91,x92)+E(f24(x91),f24(x92))
% 0.81/0.82 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 0.81/0.82 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 0.81/0.82 [12]~E(x121,x122)+E(f7(x121,x123),f7(x122,x123))
% 0.81/0.82 [13]~E(x131,x132)+E(f7(x133,x131),f7(x133,x132))
% 0.81/0.82 [14]~E(x141,x142)+E(f18(x141),f18(x142))
% 0.81/0.82 [15]~E(x151,x152)+E(f25(x151,x153),f25(x152,x153))
% 0.81/0.82 [16]~E(x161,x162)+E(f25(x163,x161),f25(x163,x162))
% 0.81/0.82 [17]~E(x171,x172)+E(f21(x171,x173),f21(x172,x173))
% 0.81/0.82 [18]~E(x181,x182)+E(f21(x183,x181),f21(x183,x182))
% 0.81/0.82 [19]~E(x191,x192)+E(f19(x191,x193),f19(x192,x193))
% 0.81/0.82 [20]~E(x201,x202)+E(f19(x203,x201),f19(x203,x202))
% 0.81/0.82 [21]~E(x211,x212)+E(f16(x211,x213),f16(x212,x213))
% 0.81/0.82 [22]~E(x221,x222)+E(f16(x223,x221),f16(x223,x222))
% 0.81/0.82 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.81/0.82 [24]~E(x241,x242)+E(f22(x241),f22(x242))
% 0.81/0.82 [25]~E(x251,x252)+E(f4(x251),f4(x252))
% 0.81/0.82 [26]~E(x261,x262)+E(f20(x261,x263),f20(x262,x263))
% 0.81/0.82 [27]~E(x271,x272)+E(f20(x273,x271),f20(x273,x272))
% 0.81/0.82 [28]~E(x281,x282)+E(f27(x281),f27(x282))
% 0.81/0.82 [29]~E(x291,x292)+E(f17(x291),f17(x292))
% 0.81/0.82 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.81/0.82 [31]~P17(x311)+P17(x312)+~E(x311,x312)
% 0.81/0.82 [32]~P2(x321)+P2(x322)+~E(x321,x322)
% 0.81/0.82 [33]P8(x332,x333,x334)+~E(x331,x332)+~P8(x331,x333,x334)
% 0.81/0.82 [34]P8(x343,x342,x344)+~E(x341,x342)+~P8(x343,x341,x344)
% 0.81/0.82 [35]P8(x353,x354,x352)+~E(x351,x352)+~P8(x353,x354,x351)
% 0.81/0.82 [36]~P3(x361)+P3(x362)+~E(x361,x362)
% 0.81/0.82 [37]~P14(x371)+P14(x372)+~E(x371,x372)
% 0.81/0.82 [38]P5(x382,x383)+~E(x381,x382)+~P5(x381,x383)
% 0.81/0.82 [39]P5(x393,x392)+~E(x391,x392)+~P5(x393,x391)
% 0.81/0.82 [40]~P4(x401)+P4(x402)+~E(x401,x402)
% 0.81/0.82 [41]P7(x412,x413)+~E(x411,x412)+~P7(x411,x413)
% 0.81/0.82 [42]P7(x423,x422)+~E(x421,x422)+~P7(x423,x421)
% 0.81/0.82 [43]P10(x432,x433)+~E(x431,x432)+~P10(x431,x433)
% 0.81/0.82 [44]P10(x443,x442)+~E(x441,x442)+~P10(x443,x441)
% 0.81/0.82 [45]~P18(x451)+P18(x452)+~E(x451,x452)
% 0.81/0.82 [46]P6(x462,x463)+~E(x461,x462)+~P6(x461,x463)
% 0.81/0.82 [47]P6(x473,x472)+~E(x471,x472)+~P6(x473,x471)
% 0.81/0.82 [48]~P11(x481)+P11(x482)+~E(x481,x482)
% 0.81/0.82 [49]P13(x492,x493,x494)+~E(x491,x492)+~P13(x491,x493,x494)
% 0.81/0.82 [50]P13(x503,x502,x504)+~E(x501,x502)+~P13(x503,x501,x504)
% 0.81/0.82 [51]P13(x513,x514,x512)+~E(x511,x512)+~P13(x513,x514,x511)
% 0.81/0.82 [52]P9(x522,x523,x524)+~E(x521,x522)+~P9(x521,x523,x524)
% 0.81/0.82 [53]P9(x533,x532,x534)+~E(x531,x532)+~P9(x533,x531,x534)
% 0.81/0.82 [54]P9(x543,x544,x542)+~E(x541,x542)+~P9(x543,x544,x541)
% 0.81/0.82 [55]~P15(x551)+P15(x552)+~E(x551,x552)
% 0.81/0.82 [56]P12(x562,x563)+~E(x561,x562)+~P12(x561,x563)
% 0.81/0.82 [57]P12(x573,x572)+~E(x571,x572)+~P12(x573,x571)
% 0.81/0.82 [58]P16(x582,x583,x584)+~E(x581,x582)+~P16(x581,x583,x584)
% 0.81/0.82 [59]P16(x593,x592,x594)+~E(x591,x592)+~P16(x593,x591,x594)
% 0.81/0.82 [60]P16(x603,x604,x602)+~E(x601,x602)+~P16(x603,x604,x601)
% 0.81/0.82
% 0.81/0.82 %-------------------------------------------
% 0.81/0.82 cnf(142,plain,
% 0.81/0.82 (P7(f15(x1421),x1421)),
% 0.81/0.82 inference(rename_variables,[],[74])).
% 0.81/0.82 cnf(147,plain,
% 0.81/0.82 (P7(f15(x1471),x1471)),
% 0.81/0.82 inference(rename_variables,[],[74])).
% 0.81/0.82 cnf(164,plain,
% 0.81/0.82 (P10(a11,a12)),
% 0.81/0.82 inference(scs_inference,[],[61,62,63,65,71,86,66,88,73,80,90,82,84,74,142,147,76,75,107,98,119,110,57,56,103,93,114,130,111,109,108,128,127])).
% 0.81/0.82 cnf(242,plain,
% 0.81/0.82 (~P10(a11,f25(a1,a12))),
% 0.81/0.82 inference(scs_inference,[],[61,72,62,63,65,71,86,66,67,88,73,80,90,81,82,84,85,74,142,147,76,75,107,98,119,110,57,56,103,93,114,130,111,109,108,128,127,2,123,122,101,92,91,106,95,94,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,125,99,121,120,55,37,3,113,97,96,112,104,102,105,100,118,117,116,126])).
% 0.81/0.82 cnf(279,plain,
% 0.81/0.82 ($false),
% 0.81/0.82 inference(scs_inference,[],[61,73,71,62,63,86,242,164,124]),
% 0.81/0.82 ['proof']).
% 0.81/0.82 % SZS output end Proof
% 0.81/0.82 % Total time :0.120000s
%------------------------------------------------------------------------------