TSTP Solution File: LAT300+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT300+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 : n027.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 05:58:12 EDT 2023
% Result : Theorem 1.02s 1.08s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu Aug 24 07:17:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.95/1.07 %-------------------------------------------
% 0.95/1.07 % File :CSE---1.6
% 0.95/1.07 % Problem :theBenchmark
% 0.95/1.07 % Transform :cnf
% 0.95/1.07 % Format :tptp:raw
% 0.95/1.07 % Command :java -jar mcs_scs.jar %d %s
% 0.95/1.07
% 0.95/1.07 % Result :Theorem 0.460000s
% 0.95/1.07 % Output :CNFRefutation 0.460000s
% 0.95/1.07 %-------------------------------------------
% 1.02/1.07 %------------------------------------------------------------------------------
% 1.02/1.07 % File : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 1.02/1.08 % Domain : Lattice Theory
% 1.02/1.08 % Problem : Ideals T24
% 1.02/1.08 % Version : [Urb08] axioms : Especial.
% 1.02/1.08 % English :
% 1.02/1.08
% 1.02/1.08 % Refs : [Ban96] Bancerek (1996), Ideals
% 1.02/1.08 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 1.02/1.08 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 1.02/1.08 % Source : [Urb08]
% 1.02/1.08 % Names : t24_filter_2 [Urb08]
% 1.02/1.08
% 1.02/1.08 % Status : Theorem
% 1.02/1.08 % Rating : 0.08 v7.5.0, 0.09 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.12 v6.2.0, 0.08 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.17 v4.0.0, 0.21 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0
% 1.02/1.08 % Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% 1.02/1.08 % Number of atoms : 127 ( 2 equ)
% 1.02/1.08 % Maximal formula atoms : 10 ( 2 avg)
% 1.02/1.08 % Number of connectives : 115 ( 32 ~; 1 |; 51 &)
% 1.02/1.08 % ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% 1.02/1.08 % Maximal formula depth : 10 ( 4 avg)
% 1.02/1.08 % Maximal term depth : 3 ( 1 avg)
% 1.02/1.08 % Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% 1.02/1.08 % Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% 1.02/1.08 % Number of variables : 66 ( 50 !; 16 ?)
% 1.02/1.08 % SPC : FOF_THM_RFO_SEQ
% 1.02/1.08
% 1.02/1.08 % Comments : Normal version: includes the axioms (which may be theorems from
% 1.02/1.08 % other articles) and background that are possibly necessary.
% 1.02/1.08 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 1.02/1.08 % : The problem encoding is based on set theory.
% 1.02/1.08 %------------------------------------------------------------------------------
% 1.02/1.08 fof(t24_filter_2,conjecture,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A)
% 1.02/1.08 & l3_lattices(A) )
% 1.02/1.08 => ! [B] :
% 1.02/1.08 ( m2_filter_2(B,A)
% 1.02/1.08 => ? [C] :
% 1.02/1.08 ( m1_subset_1(C,u1_struct_0(A))
% 1.02/1.08 & r2_hidden(C,B) ) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(antisymmetry_r2_hidden,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ( r2_hidden(A,B)
% 1.02/1.08 => ~ r2_hidden(B,A) ) ).
% 1.02/1.08
% 1.02/1.08 fof(cc1_funct_1,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( v1_xboole_0(A)
% 1.02/1.08 => v1_funct_1(A) ) ).
% 1.02/1.08
% 1.02/1.08 fof(cc1_lattices,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( l3_lattices(A)
% 1.02/1.08 => ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A) )
% 1.02/1.08 => ( ~ v3_struct_0(A)
% 1.02/1.08 & v4_lattices(A)
% 1.02/1.08 & v5_lattices(A)
% 1.02/1.08 & v6_lattices(A)
% 1.02/1.08 & v7_lattices(A)
% 1.02/1.08 & v8_lattices(A)
% 1.02/1.08 & v9_lattices(A) ) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(cc2_lattices,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( l3_lattices(A)
% 1.02/1.08 => ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v4_lattices(A)
% 1.02/1.08 & v5_lattices(A)
% 1.02/1.08 & v6_lattices(A)
% 1.02/1.08 & v7_lattices(A)
% 1.02/1.08 & v8_lattices(A)
% 1.02/1.08 & v9_lattices(A) )
% 1.02/1.08 => ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A) ) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(dt_k1_xboole_0,axiom,
% 1.02/1.08 $true ).
% 1.02/1.08
% 1.02/1.08 fof(dt_k1_zfmisc_1,axiom,
% 1.02/1.08 $true ).
% 1.02/1.08
% 1.02/1.08 fof(dt_l1_lattices,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( l1_lattices(A)
% 1.02/1.08 => l1_struct_0(A) ) ).
% 1.02/1.08
% 1.02/1.08 fof(dt_l1_struct_0,axiom,
% 1.02/1.08 $true ).
% 1.02/1.08
% 1.02/1.08 fof(dt_l2_lattices,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( l2_lattices(A)
% 1.02/1.08 => l1_struct_0(A) ) ).
% 1.02/1.08
% 1.02/1.08 fof(dt_l3_lattices,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( l3_lattices(A)
% 1.02/1.08 => ( l1_lattices(A)
% 1.02/1.08 & l2_lattices(A) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(dt_m1_struct_0,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & l1_struct_0(A)
% 1.02/1.08 & ~ v1_xboole_0(B)
% 1.02/1.08 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 1.02/1.08 => ! [C] :
% 1.02/1.08 ( m1_struct_0(C,A,B)
% 1.02/1.08 => m1_subset_1(C,u1_struct_0(A)) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(dt_m1_subset_1,axiom,
% 1.02/1.08 $true ).
% 1.02/1.08
% 1.02/1.08 fof(dt_m2_filter_2,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A)
% 1.02/1.08 & l3_lattices(A) )
% 1.02/1.08 => ! [B] :
% 1.02/1.08 ( m2_filter_2(B,A)
% 1.02/1.08 => ( ~ v1_xboole_0(B)
% 1.02/1.08 & m2_lattice4(B,A) ) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(dt_m2_lattice4,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A)
% 1.02/1.08 & l3_lattices(A) )
% 1.02/1.08 => ! [B] :
% 1.02/1.08 ( m2_lattice4(B,A)
% 1.02/1.08 => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(dt_u1_struct_0,axiom,
% 1.02/1.08 $true ).
% 1.02/1.08
% 1.02/1.08 fof(existence_l1_lattices,axiom,
% 1.02/1.08 ? [A] : l1_lattices(A) ).
% 1.02/1.08
% 1.02/1.08 fof(existence_l1_struct_0,axiom,
% 1.02/1.08 ? [A] : l1_struct_0(A) ).
% 1.02/1.08
% 1.02/1.08 fof(existence_l2_lattices,axiom,
% 1.02/1.08 ? [A] : l2_lattices(A) ).
% 1.02/1.08
% 1.02/1.08 fof(existence_l3_lattices,axiom,
% 1.02/1.08 ? [A] : l3_lattices(A) ).
% 1.02/1.08
% 1.02/1.08 fof(existence_m1_struct_0,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & l1_struct_0(A)
% 1.02/1.08 & ~ v1_xboole_0(B)
% 1.02/1.08 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 1.02/1.08 => ? [C] : m1_struct_0(C,A,B) ) ).
% 1.02/1.08
% 1.02/1.08 fof(existence_m1_subset_1,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ? [B] : m1_subset_1(B,A) ).
% 1.02/1.08
% 1.02/1.08 fof(existence_m2_filter_2,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A)
% 1.02/1.08 & l3_lattices(A) )
% 1.02/1.08 => ? [B] : m2_filter_2(B,A) ) ).
% 1.02/1.08
% 1.02/1.08 fof(existence_m2_lattice4,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A)
% 1.02/1.08 & l3_lattices(A) )
% 1.02/1.08 => ? [B] : m2_lattice4(B,A) ) ).
% 1.02/1.08
% 1.02/1.08 fof(fc1_struct_0,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & l1_struct_0(A) )
% 1.02/1.08 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 1.02/1.08
% 1.02/1.08 fof(fc1_subset_1,axiom,
% 1.02/1.08 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 1.02/1.08
% 1.02/1.08 fof(fc1_xboole_0,axiom,
% 1.02/1.08 v1_xboole_0(k1_xboole_0) ).
% 1.02/1.08
% 1.02/1.08 fof(rc1_lattice4,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & v10_lattices(A)
% 1.02/1.08 & l3_lattices(A) )
% 1.02/1.08 => ? [B] :
% 1.02/1.08 ( m2_lattice4(B,A)
% 1.02/1.08 & ~ v1_xboole_0(B) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(rc1_subset_1,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ~ v1_xboole_0(A)
% 1.02/1.08 => ? [B] :
% 1.02/1.08 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.02/1.08 & ~ v1_xboole_0(B) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(rc1_xboole_0,axiom,
% 1.02/1.08 ? [A] : v1_xboole_0(A) ).
% 1.02/1.08
% 1.02/1.08 fof(rc2_subset_1,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ? [B] :
% 1.02/1.08 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.02/1.08 & v1_xboole_0(B) ) ).
% 1.02/1.08
% 1.02/1.08 fof(rc2_xboole_0,axiom,
% 1.02/1.08 ? [A] : ~ v1_xboole_0(A) ).
% 1.02/1.08
% 1.02/1.08 fof(rc3_struct_0,axiom,
% 1.02/1.08 ? [A] :
% 1.02/1.08 ( l1_struct_0(A)
% 1.02/1.08 & ~ v3_struct_0(A) ) ).
% 1.02/1.08
% 1.02/1.08 fof(rc5_struct_0,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & l1_struct_0(A) )
% 1.02/1.08 => ? [B] :
% 1.02/1.08 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.02/1.08 & ~ v1_xboole_0(B) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(redefinition_m1_struct_0,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ( ( ~ v3_struct_0(A)
% 1.02/1.08 & l1_struct_0(A)
% 1.02/1.08 & ~ v1_xboole_0(B)
% 1.02/1.08 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 1.02/1.08 => ! [C] :
% 1.02/1.08 ( m1_struct_0(C,A,B)
% 1.02/1.08 <=> m1_subset_1(C,B) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(reflexivity_r1_tarski,axiom,
% 1.02/1.08 ! [A,B] : r1_tarski(A,A) ).
% 1.02/1.08
% 1.02/1.08 fof(t1_subset,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ( r2_hidden(A,B)
% 1.02/1.08 => m1_subset_1(A,B) ) ).
% 1.02/1.08
% 1.02/1.08 fof(t2_subset,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ( m1_subset_1(A,B)
% 1.02/1.08 => ( v1_xboole_0(B)
% 1.02/1.08 | r2_hidden(A,B) ) ) ).
% 1.02/1.08
% 1.02/1.08 fof(t3_subset,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ( m1_subset_1(A,k1_zfmisc_1(B))
% 1.02/1.08 <=> r1_tarski(A,B) ) ).
% 1.02/1.08
% 1.02/1.08 fof(t4_subset,axiom,
% 1.02/1.08 ! [A,B,C] :
% 1.02/1.08 ( ( r2_hidden(A,B)
% 1.02/1.08 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 1.02/1.08 => m1_subset_1(A,C) ) ).
% 1.02/1.08
% 1.02/1.08 fof(t5_subset,axiom,
% 1.02/1.08 ! [A,B,C] :
% 1.02/1.08 ~ ( r2_hidden(A,B)
% 1.02/1.08 & m1_subset_1(B,k1_zfmisc_1(C))
% 1.02/1.08 & v1_xboole_0(C) ) ).
% 1.02/1.08
% 1.02/1.08 fof(t6_boole,axiom,
% 1.02/1.08 ! [A] :
% 1.02/1.08 ( v1_xboole_0(A)
% 1.02/1.08 => A = k1_xboole_0 ) ).
% 1.02/1.08
% 1.02/1.08 fof(t7_boole,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ~ ( r2_hidden(A,B)
% 1.02/1.08 & v1_xboole_0(B) ) ).
% 1.02/1.08
% 1.02/1.08 fof(t8_boole,axiom,
% 1.02/1.08 ! [A,B] :
% 1.02/1.08 ~ ( v1_xboole_0(A)
% 1.02/1.08 & A != B
% 1.02/1.08 & v1_xboole_0(B) ) ).
% 1.02/1.08
% 1.02/1.08 %------------------------------------------------------------------------------
% 1.02/1.08 %-------------------------------------------
% 1.02/1.08 % Proof found
% 1.02/1.08 % SZS status Theorem for theBenchmark
% 1.02/1.08 % SZS output start Proof
% 1.02/1.09 %ClaNum:98(EqnAxiom:41)
% 1.02/1.09 %VarNum:187(SingletonVarNum:65)
% 1.02/1.09 %MaxLitNum:9
% 1.02/1.09 %MaxfuncDepth:2
% 1.02/1.09 %SharedTerms:24
% 1.02/1.09 %goalClause: 42 43 52 56 87
% 1.02/1.09 %singleGoalClaCount:4
% 1.02/1.09 [42]P1(a1)
% 1.02/1.09 [43]P2(a1)
% 1.02/1.09 [44]P2(a10)
% 1.02/1.09 [45]P12(a15)
% 1.02/1.09 [46]P12(a2)
% 1.02/1.09 [47]P3(a11)
% 1.02/1.09 [48]P4(a13)
% 1.02/1.09 [49]P4(a6)
% 1.02/1.09 [50]P5(a14)
% 1.02/1.09 [52]P6(a12,a1)
% 1.02/1.09 [56]~P14(a1)
% 1.02/1.09 [57]~P14(a6)
% 1.02/1.09 [58]~P12(a8)
% 1.02/1.09 [53]P9(x531,x531)
% 1.02/1.09 [51]P12(f7(x511))
% 1.02/1.09 [54]P7(f16(x541),x541)
% 1.02/1.09 [55]P7(f7(x551),f19(x551))
% 1.02/1.09 [59]~P12(f19(x591))
% 1.02/1.09 [60]~P12(x601)+E(x601,a15)
% 1.02/1.09 [61]~P12(x611)+P13(x611)
% 1.02/1.09 [62]~P2(x621)+P3(x621)
% 1.02/1.09 [63]~P3(x631)+P4(x631)
% 1.02/1.09 [64]~P5(x641)+P4(x641)
% 1.02/1.09 [65]~P2(x651)+P5(x651)
% 1.02/1.09 [67]P12(x671)+~P12(f3(x671))
% 1.02/1.09 [77]P12(x771)+P7(f3(x771),f19(x771))
% 1.02/1.09 [87]~P11(x871,a12)+~P7(x871,f20(a1))
% 1.02/1.09 [76]~P12(x761)+~P11(x762,x761)
% 1.02/1.09 [79]~P11(x791,x792)+P7(x791,x792)
% 1.02/1.09 [85]~P11(x852,x851)+~P11(x851,x852)
% 1.02/1.09 [84]~P9(x841,x842)+P7(x841,f19(x842))
% 1.02/1.09 [86]P9(x861,x862)+~P7(x861,f19(x862))
% 1.02/1.09 [74]~P4(x741)+P14(x741)+~P12(f20(x741))
% 1.02/1.09 [75]~P4(x751)+P14(x751)+~P12(f9(x751))
% 1.02/1.09 [89]~P4(x891)+P14(x891)+P7(f9(x891),f19(f20(x891)))
% 1.02/1.09 [66]~P12(x662)+~P12(x661)+E(x661,x662)
% 1.02/1.09 [83]~P7(x832,x831)+P12(x831)+P11(x832,x831)
% 1.02/1.09 [92]~P12(x921)+~P11(x922,x923)+~P7(x923,f19(x921))
% 1.02/1.09 [93]P7(x931,x932)+~P11(x931,x933)+~P7(x933,f19(x932))
% 1.02/1.09 [68]P15(x681)+~P1(x681)+~P2(x681)+P14(x681)
% 1.02/1.09 [69]P16(x691)+~P1(x691)+~P2(x691)+P14(x691)
% 1.02/1.09 [70]P17(x701)+~P1(x701)+~P2(x701)+P14(x701)
% 1.02/1.09 [71]P18(x711)+~P1(x711)+~P2(x711)+P14(x711)
% 1.02/1.09 [72]P19(x721)+~P1(x721)+~P2(x721)+P14(x721)
% 1.02/1.09 [73]P20(x731)+~P1(x731)+~P2(x731)+P14(x731)
% 1.02/1.09 [78]~P1(x781)+~P2(x781)+P14(x781)+~P12(f4(x781))
% 1.02/1.09 [80]~P1(x801)+~P2(x801)+P14(x801)+P6(f18(x801),x801)
% 1.02/1.09 [81]~P1(x811)+~P2(x811)+P14(x811)+P10(f5(x811),x811)
% 1.02/1.09 [82]~P1(x821)+~P2(x821)+P14(x821)+P10(f4(x821),x821)
% 1.02/1.09 [88]~P1(x881)+~P2(x881)+~P6(x882,x881)+P14(x881)+~P12(x882)
% 1.02/1.09 [90]~P1(x901)+~P2(x901)+~P6(x902,x901)+P14(x901)+P10(x902,x901)
% 1.02/1.09 [94]~P1(x941)+~P2(x941)+~P10(x942,x941)+P14(x941)+P7(x942,f19(f20(x941)))
% 1.02/1.09 [96]~P4(x961)+P14(x961)+P12(x962)+P8(f17(x961,x962),x961,x962)+~P7(x962,f19(f20(x961)))
% 1.02/1.09 [95]~P4(x951)+~P7(x953,x952)+P14(x951)+P8(x953,x951,x952)+P12(x952)+~P7(x952,f19(f20(x951)))
% 1.02/1.09 [97]~P4(x971)+~P8(x973,x971,x972)+P14(x971)+P7(x973,x972)+P12(x972)+~P7(x972,f19(f20(x971)))
% 1.02/1.09 [98]~P4(x981)+~P8(x983,x981,x982)+P14(x981)+P12(x982)+P7(x983,f20(x981))+~P7(x982,f19(f20(x981)))
% 1.02/1.09 [91]P1(x911)+~P2(x911)+~P15(x911)+~P16(x911)+~P17(x911)+~P18(x911)+~P19(x911)+~P20(x911)+P14(x911)
% 1.02/1.09 %EqnAxiom
% 1.02/1.09 [1]E(x11,x11)
% 1.02/1.09 [2]E(x22,x21)+~E(x21,x22)
% 1.02/1.09 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.02/1.09 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 1.02/1.09 [5]~E(x51,x52)+E(f16(x51),f16(x52))
% 1.02/1.09 [6]~E(x61,x62)+E(f19(x61),f19(x62))
% 1.02/1.09 [7]~E(x71,x72)+E(f20(x71),f20(x72))
% 1.02/1.09 [8]~E(x81,x82)+E(f9(x81),f9(x82))
% 1.02/1.09 [9]~E(x91,x92)+E(f3(x91),f3(x92))
% 1.02/1.09 [10]~E(x101,x102)+E(f17(x101,x103),f17(x102,x103))
% 1.02/1.09 [11]~E(x111,x112)+E(f17(x113,x111),f17(x113,x112))
% 1.02/1.09 [12]~E(x121,x122)+E(f5(x121),f5(x122))
% 1.02/1.09 [13]~E(x131,x132)+E(f18(x131),f18(x132))
% 1.02/1.09 [14]~E(x141,x142)+E(f4(x141),f4(x142))
% 1.02/1.09 [15]~P1(x151)+P1(x152)+~E(x151,x152)
% 1.02/1.09 [16]~P2(x161)+P2(x162)+~E(x161,x162)
% 1.02/1.09 [17]P8(x172,x173,x174)+~E(x171,x172)+~P8(x171,x173,x174)
% 1.02/1.09 [18]P8(x183,x182,x184)+~E(x181,x182)+~P8(x183,x181,x184)
% 1.02/1.09 [19]P8(x193,x194,x192)+~E(x191,x192)+~P8(x193,x194,x191)
% 1.02/1.09 [20]~P12(x201)+P12(x202)+~E(x201,x202)
% 1.02/1.09 [21]~P20(x211)+P20(x212)+~E(x211,x212)
% 1.02/1.09 [22]~P3(x221)+P3(x222)+~E(x221,x222)
% 1.02/1.09 [23]~P4(x231)+P4(x232)+~E(x231,x232)
% 1.02/1.09 [24]P9(x242,x243)+~E(x241,x242)+~P9(x241,x243)
% 1.02/1.09 [25]P9(x253,x252)+~E(x251,x252)+~P9(x253,x251)
% 1.02/1.09 [26]~P5(x261)+P5(x262)+~E(x261,x262)
% 1.02/1.09 [27]~P19(x271)+P19(x272)+~E(x271,x272)
% 1.02/1.09 [28]P6(x282,x283)+~E(x281,x282)+~P6(x281,x283)
% 1.02/1.09 [29]P6(x293,x292)+~E(x291,x292)+~P6(x293,x291)
% 1.02/1.09 [30]P10(x302,x303)+~E(x301,x302)+~P10(x301,x303)
% 1.02/1.09 [31]P10(x313,x312)+~E(x311,x312)+~P10(x313,x311)
% 1.02/1.09 [32]P7(x322,x323)+~E(x321,x322)+~P7(x321,x323)
% 1.02/1.09 [33]P7(x333,x332)+~E(x331,x332)+~P7(x333,x331)
% 1.02/1.09 [34]~P14(x341)+P14(x342)+~E(x341,x342)
% 1.02/1.09 [35]P11(x352,x353)+~E(x351,x352)+~P11(x351,x353)
% 1.02/1.09 [36]P11(x363,x362)+~E(x361,x362)+~P11(x363,x361)
% 1.02/1.09 [37]~P18(x371)+P18(x372)+~E(x371,x372)
% 1.02/1.09 [38]~P17(x381)+P17(x382)+~E(x381,x382)
% 1.02/1.09 [39]~P16(x391)+P16(x392)+~E(x391,x392)
% 1.02/1.09 [40]~P15(x401)+P15(x402)+~E(x401,x402)
% 1.02/1.09 [41]~P13(x411)+P13(x412)+~E(x411,x412)
% 1.02/1.09
% 1.02/1.09 %-------------------------------------------
% 1.02/1.09 cnf(99,plain,
% 1.02/1.09 (~P11(x991,a15)),
% 1.02/1.09 inference(scs_inference,[],[45,76])).
% 1.02/1.09 cnf(100,plain,
% 1.02/1.09 (~P11(f16(f20(a1)),a12)),
% 1.02/1.09 inference(scs_inference,[],[45,54,76,87])).
% 1.02/1.09 cnf(101,plain,
% 1.02/1.09 (P7(f16(x1011),x1011)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(103,plain,
% 1.02/1.09 (P9(f16(f19(x1031)),x1031)),
% 1.02/1.09 inference(scs_inference,[],[45,54,101,76,87,86])).
% 1.02/1.09 cnf(104,plain,
% 1.02/1.09 (P7(f16(x1041),x1041)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(106,plain,
% 1.02/1.09 (P11(f16(a8),a8)),
% 1.02/1.09 inference(scs_inference,[],[45,58,54,101,104,76,87,86,83])).
% 1.02/1.09 cnf(107,plain,
% 1.02/1.09 (P7(f16(x1071),x1071)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(109,plain,
% 1.02/1.09 (~P11(x1091,f16(f19(a15)))),
% 1.02/1.09 inference(scs_inference,[],[45,58,54,101,104,107,76,87,86,83,92])).
% 1.02/1.09 cnf(112,plain,
% 1.02/1.09 (P20(a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,56,45,58,54,101,104,107,76,87,86,83,92,73])).
% 1.02/1.09 cnf(114,plain,
% 1.02/1.09 (P19(a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,56,45,58,54,101,104,107,76,87,86,83,92,73,72])).
% 1.02/1.09 cnf(116,plain,
% 1.02/1.09 (P18(a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,56,45,58,54,101,104,107,76,87,86,83,92,73,72,71])).
% 1.02/1.09 cnf(118,plain,
% 1.02/1.09 (P17(a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,56,45,58,54,101,104,107,76,87,86,83,92,73,72,71,70])).
% 1.02/1.09 cnf(120,plain,
% 1.02/1.09 (P16(a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,56,45,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69])).
% 1.02/1.09 cnf(122,plain,
% 1.02/1.09 (P15(a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,56,45,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68])).
% 1.02/1.09 cnf(126,plain,
% 1.02/1.09 (~P6(a15,a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,52,56,45,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88])).
% 1.02/1.09 cnf(136,plain,
% 1.02/1.09 (P3(a1)),
% 1.02/1.09 inference(scs_inference,[],[42,43,52,56,45,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62])).
% 1.02/1.09 cnf(140,plain,
% 1.02/1.09 (E(a2,a15)),
% 1.02/1.09 inference(scs_inference,[],[42,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60])).
% 1.02/1.09 cnf(142,plain,
% 1.02/1.09 (P7(x1421,f19(x1421))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84])).
% 1.02/1.09 cnf(144,plain,
% 1.02/1.09 (~P12(f3(a8))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67])).
% 1.02/1.09 cnf(146,plain,
% 1.02/1.09 (E(f4(a2),f4(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14])).
% 1.02/1.09 cnf(147,plain,
% 1.02/1.09 (E(f18(a2),f18(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13])).
% 1.02/1.09 cnf(148,plain,
% 1.02/1.09 (E(f5(a2),f5(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12])).
% 1.02/1.09 cnf(149,plain,
% 1.02/1.09 (E(f17(x1491,a2),f17(x1491,a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11])).
% 1.02/1.09 cnf(150,plain,
% 1.02/1.09 (E(f17(a2,x1501),f17(a15,x1501))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10])).
% 1.02/1.09 cnf(151,plain,
% 1.02/1.09 (E(f3(a2),f3(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9])).
% 1.02/1.09 cnf(152,plain,
% 1.02/1.09 (E(f9(a2),f9(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8])).
% 1.02/1.09 cnf(153,plain,
% 1.02/1.09 (E(f20(a2),f20(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7])).
% 1.02/1.09 cnf(154,plain,
% 1.02/1.09 (E(f19(a2),f19(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6])).
% 1.02/1.09 cnf(156,plain,
% 1.02/1.09 (E(f7(a2),f7(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4])).
% 1.02/1.09 cnf(159,plain,
% 1.02/1.09 (~E(a15,x1591)+P13(x1591)),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41])).
% 1.02/1.09 cnf(162,plain,
% 1.02/1.09 (~E(a15,a8)),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,50,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20])).
% 1.02/1.09 cnf(163,plain,
% 1.02/1.09 (~P12(f9(a6))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75])).
% 1.02/1.09 cnf(165,plain,
% 1.02/1.09 (~P12(f20(a6))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75,74])).
% 1.02/1.09 cnf(167,plain,
% 1.02/1.09 (P7(f9(a6),f19(f20(a6)))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75,74,89])).
% 1.02/1.09 cnf(169,plain,
% 1.02/1.09 (P10(f4(a1),a1)),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75,74,89,82])).
% 1.02/1.09 cnf(171,plain,
% 1.02/1.09 (P10(f5(a1),a1)),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75,74,89,82,81])).
% 1.02/1.09 cnf(173,plain,
% 1.02/1.09 (P6(f18(a1),a1)),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75,74,89,82,81,80])).
% 1.02/1.09 cnf(177,plain,
% 1.02/1.09 (P7(a12,f19(f20(a1)))),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75,74,89,82,81,80,78,94])).
% 1.02/1.09 cnf(179,plain,
% 1.02/1.09 (E(a15,a2)),
% 1.02/1.09 inference(scs_inference,[],[42,53,43,52,56,45,46,47,49,50,57,58,54,101,104,107,76,87,86,83,92,73,72,71,70,69,68,90,88,85,65,64,63,62,61,60,84,67,14,13,12,11,10,9,8,7,6,5,4,77,41,36,28,20,75,74,89,82,81,80,78,94,2])).
% 1.02/1.09 cnf(205,plain,
% 1.02/1.09 (~P7(a8,f19(f7(x2051)))),
% 1.02/1.09 inference(scs_inference,[],[42,51,43,56,106,169,179,159,94,92])).
% 1.02/1.09 cnf(210,plain,
% 1.02/1.09 (P7(f7(x2101),f19(x2101))),
% 1.02/1.09 inference(rename_variables,[],[55])).
% 1.02/1.09 cnf(212,plain,
% 1.02/1.09 (P7(f7(x2121),f19(x2121))),
% 1.02/1.09 inference(rename_variables,[],[55])).
% 1.02/1.09 cnf(214,plain,
% 1.02/1.09 (~E(f7(x2141),f3(a8))),
% 1.02/1.09 inference(scs_inference,[],[42,51,55,210,53,43,56,144,154,106,169,179,159,94,92,84,33,32,24,20])).
% 1.02/1.09 cnf(215,plain,
% 1.02/1.09 (E(f17(a2,a2),f17(a15,a15))),
% 1.02/1.09 inference(scs_inference,[],[42,51,55,210,53,43,56,149,150,144,154,106,169,179,159,94,92,84,33,32,24,20,3])).
% 1.02/1.09 cnf(218,plain,
% 1.02/1.09 (P12(f16(f19(a15)))),
% 1.02/1.09 inference(scs_inference,[],[42,51,55,210,54,53,43,56,109,149,150,144,154,106,169,179,159,94,92,84,33,32,24,20,3,83])).
% 1.02/1.09 cnf(223,plain,
% 1.02/1.09 (~P6(f7(x2231),a1)),
% 1.02/1.09 inference(scs_inference,[],[42,51,55,210,54,53,43,56,142,109,149,150,144,154,106,169,179,159,94,92,84,33,32,24,20,3,83,93,88])).
% 1.02/1.09 cnf(225,plain,
% 1.02/1.09 (~E(a8,a15)),
% 1.02/1.09 inference(scs_inference,[],[42,51,55,210,54,53,43,56,142,109,149,150,144,154,106,169,162,179,159,94,92,84,33,32,24,20,3,83,93,88,2])).
% 1.02/1.09 cnf(226,plain,
% 1.02/1.09 (P9(f7(a2),f7(a15))),
% 1.02/1.09 inference(scs_inference,[],[42,51,55,210,54,53,43,56,142,109,149,150,144,154,156,106,169,162,179,159,94,92,84,33,32,24,20,3,83,93,88,2,25])).
% 1.02/1.09 cnf(248,plain,
% 1.02/1.09 (~P12(a12)),
% 1.02/1.09 inference(scs_inference,[],[42,48,51,59,55,210,212,52,54,53,49,57,43,56,142,109,146,149,150,167,144,154,156,163,106,169,122,126,162,179,159,94,92,84,33,32,24,20,3,83,93,88,2,25,40,96,28,97,95,98,75,89,34,31,29,17,74,60])).
% 1.02/1.09 cnf(256,plain,
% 1.02/1.09 (P10(f18(a1),a1)),
% 1.02/1.09 inference(scs_inference,[],[43,56,173,42,90])).
% 1.02/1.09 cnf(259,plain,
% 1.02/1.09 (P7(x2591,f19(x2591))),
% 1.02/1.09 inference(rename_variables,[],[142])).
% 1.02/1.09 cnf(262,plain,
% 1.02/1.09 (P11(f7(x2621),f19(x2621))),
% 1.02/1.09 inference(scs_inference,[],[43,59,55,54,49,57,56,173,165,142,42,90,95,83])).
% 1.02/1.09 cnf(265,plain,
% 1.02/1.09 (~P6(f16(f19(a15)),a1)),
% 1.02/1.09 inference(scs_inference,[],[43,59,55,54,49,57,56,173,218,165,142,42,90,95,83,88])).
% 1.02/1.09 cnf(269,plain,
% 1.02/1.09 (E(f7(x2691),a15)),
% 1.02/1.09 inference(scs_inference,[],[43,59,55,54,51,49,57,56,171,173,218,165,142,42,90,95,83,88,94,60])).
% 1.02/1.09 cnf(271,plain,
% 1.02/1.09 (P11(f7(a2),f19(a15))),
% 1.02/1.09 inference(scs_inference,[],[43,59,55,54,51,49,57,56,171,173,218,165,142,154,42,90,95,83,88,94,60,36])).
% 1.02/1.09 cnf(277,plain,
% 1.02/1.09 (E(f17(a15,a15),f17(a2,a2))),
% 1.02/1.09 inference(scs_inference,[],[43,59,55,54,51,49,57,56,171,173,218,165,205,215,225,226,140,142,259,154,42,90,95,83,88,94,60,36,33,3,84,2])).
% 1.02/1.09 cnf(282,plain,
% 1.02/1.09 (P11(f7(a15),f19(a2))),
% 1.02/1.09 inference(scs_inference,[],[43,59,55,54,51,49,57,56,171,173,218,165,205,215,225,226,120,140,142,259,154,156,42,90,95,83,88,94,60,36,33,3,84,2,39,85,6,35])).
% 1.02/1.09 cnf(303,plain,
% 1.02/1.09 (~P11(f19(x3031),f7(x3031))),
% 1.02/1.09 inference(scs_inference,[],[262,269,271,282,79,35,85])).
% 1.02/1.09 cnf(305,plain,
% 1.02/1.09 (P7(f18(a1),f19(f20(a1)))),
% 1.02/1.09 inference(scs_inference,[],[43,56,262,269,271,282,256,42,79,35,85,94])).
% 1.02/1.09 cnf(307,plain,
% 1.02/1.09 (P8(f16(f9(a6)),a6,f9(a6))),
% 1.02/1.09 inference(scs_inference,[],[43,54,49,57,56,262,269,271,282,256,167,163,42,79,35,85,94,95])).
% 1.02/1.09 cnf(308,plain,
% 1.02/1.09 (P7(f16(x3081),x3081)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(310,plain,
% 1.02/1.09 (E(f19(f17(a15,a15)),f19(f17(a2,a2)))),
% 1.02/1.09 inference(scs_inference,[],[43,54,49,57,56,262,277,269,271,282,256,167,163,42,79,35,85,94,95,6])).
% 1.02/1.09 cnf(311,plain,
% 1.02/1.09 (~P7(f16(f20(a1)),a12)),
% 1.02/1.09 inference(scs_inference,[],[43,54,49,57,56,262,277,269,271,282,100,256,248,167,163,42,79,35,85,94,95,6,83])).
% 1.02/1.09 cnf(313,plain,
% 1.02/1.09 (E(f17(a15,a15),f17(a2,a15))),
% 1.02/1.09 inference(scs_inference,[],[43,54,49,57,56,262,277,269,271,282,100,256,248,149,167,163,42,79,35,85,94,95,6,83,3])).
% 1.02/1.09 cnf(315,plain,
% 1.02/1.09 (~E(f19(x3151),a15)),
% 1.02/1.09 inference(scs_inference,[],[43,99,54,49,57,56,262,277,269,271,282,100,256,248,149,167,163,42,79,35,85,94,95,6,83,3,36])).
% 1.02/1.09 cnf(317,plain,
% 1.02/1.09 (P7(f16(f17(a15,a15)),f17(a2,a2))),
% 1.02/1.09 inference(scs_inference,[],[43,99,54,308,49,57,56,262,277,269,271,282,100,256,248,149,167,163,42,79,35,85,94,95,6,83,3,36,33])).
% 1.02/1.09 cnf(322,plain,
% 1.02/1.09 (~E(a2,f19(x3221))),
% 1.02/1.09 inference(scs_inference,[],[43,99,46,54,308,59,49,57,56,262,214,277,269,271,282,100,256,248,149,142,167,163,42,79,35,85,94,95,6,83,3,36,33,2,32,20])).
% 1.02/1.09 cnf(327,plain,
% 1.02/1.09 (~P12(f18(a1))),
% 1.02/1.09 inference(scs_inference,[],[43,99,46,55,54,308,59,49,57,56,262,214,277,269,271,282,100,256,118,248,173,149,142,167,163,42,79,35,85,94,95,6,83,3,36,33,2,32,20,38,93,88])).
% 1.02/1.09 cnf(345,plain,
% 1.02/1.09 (P11(f16(f18(a1)),f18(a1))),
% 1.02/1.09 inference(scs_inference,[],[54,303,310,327,271,35,85,83])).
% 1.02/1.09 cnf(346,plain,
% 1.02/1.09 (P7(f16(x3461),x3461)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(351,plain,
% 1.02/1.09 (P7(f7(x3511),f19(x3511))),
% 1.02/1.09 inference(rename_variables,[],[55])).
% 1.02/1.09 cnf(352,plain,
% 1.02/1.09 (E(f19(f17(a2,a2)),f19(f17(a15,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,99,55,54,303,310,223,327,269,271,35,85,83,36,28,33,2])).
% 1.02/1.09 cnf(353,plain,
% 1.02/1.09 (~E(f19(x3531),f7(x3532))),
% 1.02/1.09 inference(scs_inference,[],[52,99,55,54,303,310,223,315,327,269,271,35,85,83,36,28,33,2,3])).
% 1.02/1.09 cnf(354,plain,
% 1.02/1.09 (~E(f16(a12),f16(f20(a1)))),
% 1.02/1.09 inference(scs_inference,[],[52,99,55,54,346,303,310,223,315,327,311,269,271,35,85,83,36,28,33,2,3,32])).
% 1.02/1.09 cnf(360,plain,
% 1.02/1.09 (P4(a1)),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,58,303,310,223,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63])).
% 1.02/1.09 cnf(364,plain,
% 1.02/1.09 (~P12(f3(f19(x3641)))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,58,59,303,310,223,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67])).
% 1.02/1.09 cnf(366,plain,
% 1.02/1.09 (P7(f3(f19(x3661)),f19(f19(x3661)))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,58,59,303,310,223,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67,77])).
% 1.02/1.09 cnf(372,plain,
% 1.02/1.09 (E(f18(f17(a15,a15)),f18(f17(a2,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,51,58,59,303,310,223,313,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67,77,64,61,13])).
% 1.02/1.09 cnf(373,plain,
% 1.02/1.09 (E(f17(x3731,f17(a15,a15)),f17(x3731,f17(a2,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,51,58,59,303,310,223,313,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67,77,64,61,13,11])).
% 1.02/1.09 cnf(374,plain,
% 1.02/1.09 (E(f17(f17(a15,a15),x3741),f17(f17(a2,a15),x3741))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,51,58,59,303,310,223,313,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67,77,64,61,13,11,10])).
% 1.02/1.09 cnf(375,plain,
% 1.02/1.09 (E(f3(f17(a15,a15)),f3(f17(a2,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,51,58,59,303,310,223,313,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67,77,64,61,13,11,10,9])).
% 1.02/1.09 cnf(376,plain,
% 1.02/1.09 (E(f7(f17(a15,a15)),f7(f17(a2,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,54,346,51,58,59,303,310,223,313,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67,77,64,61,13,11,10,9,4])).
% 1.02/1.09 cnf(380,plain,
% 1.02/1.09 (~P12(f20(a1))),
% 1.02/1.09 inference(scs_inference,[],[52,44,99,46,55,351,54,346,51,58,59,303,310,305,223,313,315,327,311,136,116,269,271,35,85,83,36,28,33,2,3,32,20,37,65,63,62,67,77,64,61,13,11,10,9,4,86,5,92])).
% 1.02/1.09 cnf(400,plain,
% 1.02/1.09 (P7(f9(a1),f19(f20(a1)))),
% 1.02/1.09 inference(scs_inference,[],[56,360,89])).
% 1.02/1.09 cnf(402,plain,
% 1.02/1.09 (~P12(f9(a1))),
% 1.02/1.09 inference(scs_inference,[],[56,360,89,75])).
% 1.02/1.09 cnf(404,plain,
% 1.02/1.09 (P8(f17(a1,a12),a1,a12)),
% 1.02/1.09 inference(scs_inference,[],[56,177,360,248,89,75,96])).
% 1.02/1.09 cnf(406,plain,
% 1.02/1.09 (~P11(x4061,f16(f19(a2)))),
% 1.02/1.09 inference(scs_inference,[],[46,54,56,177,360,248,89,75,96,92])).
% 1.02/1.09 cnf(407,plain,
% 1.02/1.09 (P7(f16(x4071),x4071)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(411,plain,
% 1.02/1.09 (E(f16(f18(a2)),f16(f18(a15)))),
% 1.02/1.09 inference(scs_inference,[],[46,54,56,177,345,360,147,305,248,89,75,96,92,93,5])).
% 1.02/1.09 cnf(414,plain,
% 1.02/1.09 (P11(f7(f17(a2,a15)),f19(f17(a15,a15)))),
% 1.02/1.09 inference(scs_inference,[],[46,54,56,376,177,345,360,147,305,248,262,89,75,96,92,93,5,85,35])).
% 1.02/1.09 cnf(415,plain,
% 1.02/1.09 (P11(f7(x4151),f19(x4151))),
% 1.02/1.09 inference(rename_variables,[],[262])).
% 1.02/1.09 cnf(416,plain,
% 1.02/1.09 (P11(f16(f19(x4161)),f19(x4161))),
% 1.02/1.09 inference(scs_inference,[],[46,54,407,59,56,376,177,345,360,147,305,248,262,89,75,96,92,93,5,85,35,83])).
% 1.02/1.09 cnf(417,plain,
% 1.02/1.09 (P7(f16(x4171),x4171)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(420,plain,
% 1.02/1.09 (P11(f7(f17(a2,a2)),f19(f17(a15,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,46,54,407,59,56,352,376,177,345,265,360,147,305,248,262,415,89,75,96,92,93,5,85,35,83,28,36])).
% 1.02/1.09 cnf(427,plain,
% 1.02/1.09 (P9(f17(x4271,f17(a15,a15)),f17(x4271,f17(a2,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,46,53,54,407,417,59,56,353,373,352,376,177,345,322,265,360,147,114,305,248,140,311,262,415,89,75,96,92,93,5,85,35,83,28,36,33,2,3,27,25])).
% 1.02/1.09 cnf(428,plain,
% 1.02/1.09 (P9(x4281,x4281)),
% 1.02/1.09 inference(rename_variables,[],[53])).
% 1.02/1.09 cnf(429,plain,
% 1.02/1.09 (P9(f17(x4291,f17(a2,a15)),f17(x4291,f17(a15,a15)))),
% 1.02/1.09 inference(scs_inference,[],[52,46,53,428,54,407,417,59,56,353,373,352,376,177,345,322,265,360,147,114,305,248,140,311,262,415,89,75,96,92,93,5,85,35,83,28,36,33,2,3,27,25,24])).
% 1.02/1.09 cnf(431,plain,
% 1.02/1.09 (P7(f17(a1,a12),f20(a1))),
% 1.02/1.09 inference(scs_inference,[],[52,46,53,428,54,407,417,59,56,353,373,352,376,177,345,322,265,360,147,114,305,248,140,311,262,415,89,75,96,92,93,5,85,35,83,28,36,33,2,3,27,25,24,98])).
% 1.02/1.09 cnf(449,plain,
% 1.02/1.09 (E(f16(f19(a15)),a15)),
% 1.02/1.09 inference(scs_inference,[],[218,60])).
% 1.02/1.09 cnf(453,plain,
% 1.02/1.09 (P9(f17(f17(a2,a15),f17(a15,a15)),f17(f17(a15,a15),f17(a2,a15)))),
% 1.02/1.09 inference(scs_inference,[],[46,416,374,427,218,60,92,24])).
% 1.02/1.09 cnf(454,plain,
% 1.02/1.09 (P9(f17(x4541,f17(a15,a15)),f17(x4541,f17(a2,a15)))),
% 1.02/1.09 inference(rename_variables,[],[427])).
% 1.02/1.09 cnf(455,plain,
% 1.02/1.09 (E(f17(f17(a15,a15),x4551),f17(f17(a2,a15),x4551))),
% 1.02/1.09 inference(rename_variables,[],[374])).
% 1.02/1.09 cnf(457,plain,
% 1.02/1.09 (P7(f17(a1,a12),a12)),
% 1.02/1.09 inference(scs_inference,[],[56,46,416,374,455,427,454,404,218,177,248,360,60,92,24,25,97])).
% 1.02/1.09 cnf(461,plain,
% 1.02/1.09 (P11(f16(f20(a1)),f20(a1))),
% 1.02/1.09 inference(scs_inference,[],[56,46,54,416,374,455,427,454,380,404,218,177,248,360,60,92,24,25,97,85,83])).
% 1.02/1.09 cnf(462,plain,
% 1.02/1.09 (P7(f16(x4621),x4621)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(464,plain,
% 1.02/1.09 (P11(a15,f19(f17(a15,a15)))),
% 1.02/1.09 inference(scs_inference,[],[56,46,54,416,374,455,427,454,420,380,404,218,177,248,269,360,60,92,24,25,97,85,83,35])).
% 1.02/1.09 cnf(465,plain,
% 1.02/1.09 (E(f7(x4651),a15)),
% 1.02/1.09 inference(rename_variables,[],[269])).
% 1.02/1.09 cnf(466,plain,
% 1.02/1.09 (~E(f18(a1),a15)),
% 1.02/1.09 inference(scs_inference,[],[56,99,46,54,416,374,455,427,454,420,380,404,218,177,345,248,269,360,60,92,24,25,97,85,83,35,36])).
% 1.02/1.09 cnf(470,plain,
% 1.02/1.09 (E(f7(x4701),a2)),
% 1.02/1.09 inference(scs_inference,[],[56,99,46,54,462,416,374,455,427,454,420,380,404,148,218,179,177,345,248,269,465,360,60,92,24,25,97,85,83,35,36,33,3])).
% 1.02/1.09 cnf(477,plain,
% 1.02/1.09 (~P9(f19(x4771),a2)),
% 1.02/1.09 inference(scs_inference,[],[56,50,99,46,54,462,58,416,374,455,427,454,420,380,404,148,218,179,177,345,248,269,465,360,60,92,24,25,97,85,83,35,36,33,3,2,20,26,79,84])).
% 1.02/1.09 cnf(479,plain,
% 1.02/1.09 (E(f19(f5(a2)),f19(f5(a15)))),
% 1.02/1.09 inference(scs_inference,[],[56,50,99,46,54,462,58,416,374,455,427,454,420,380,404,148,218,179,177,345,248,269,465,360,60,92,24,25,97,85,83,35,36,33,3,2,20,26,79,84,6])).
% 1.02/1.09 cnf(500,plain,
% 1.02/1.09 (P12(f16(f19(a2)))),
% 1.02/1.09 inference(scs_inference,[],[54,406,414,461,470,477,79,85,25,83])).
% 1.02/1.09 cnf(501,plain,
% 1.02/1.09 (~P11(x5011,f16(f19(a2)))),
% 1.02/1.09 inference(rename_variables,[],[406])).
% 1.02/1.09 cnf(504,plain,
% 1.02/1.09 (~E(f19(f17(a15,a15)),f16(f19(a2)))),
% 1.02/1.09 inference(scs_inference,[],[54,406,501,414,461,470,477,79,85,25,83,36])).
% 1.02/1.09 cnf(512,plain,
% 1.02/1.09 (~P7(f19(x5121),f19(f7(x5122)))),
% 1.02/1.09 inference(scs_inference,[],[55,46,48,54,364,354,406,501,414,479,461,470,477,449,466,79,85,25,83,36,33,3,2,20,23,86])).
% 1.02/1.09 cnf(514,plain,
% 1.02/1.09 (~P8(f16(f20(a1)),a1,a12)),
% 1.02/1.09 inference(scs_inference,[],[56,55,46,48,54,364,354,406,501,414,479,461,470,477,449,466,177,311,248,360,79,85,25,83,36,33,3,2,20,23,86,97])).
% 1.02/1.09 cnf(543,plain,
% 1.02/1.09 (P11(a15,f19(f17(a2,a2)))),
% 1.02/1.09 inference(scs_inference,[],[103,59,366,512,464,514,404,140,310,86,79,17,83,25,36])).
% 1.02/1.09 cnf(545,plain,
% 1.02/1.09 (~E(f19(f19(x5451)),f19(f7(x5452)))),
% 1.02/1.09 inference(scs_inference,[],[103,59,366,512,504,464,514,404,140,142,310,86,79,17,83,25,36,3,33])).
% 1.02/1.09 cnf(559,plain,
% 1.02/1.09 (~E(a11,x5591)+E(f17(x5592,f3(a2)),f17(x5592,f3(a15)))),
% 1.02/1.09 inference(scs_inference,[],[103,47,59,366,512,372,500,504,402,464,514,151,404,140,142,310,86,79,17,83,25,36,3,33,2,22,67,63,61,77,9,13,11])).
% 1.02/1.09 cnf(560,plain,
% 1.02/1.09 (~E(a11,x5601)+E(f17(f3(a2),x5602),f17(f3(a15),x5602))),
% 1.02/1.09 inference(scs_inference,[],[103,47,59,366,512,372,500,504,402,464,514,151,404,140,142,310,86,79,17,83,25,36,3,33,2,22,67,63,61,77,9,13,11,10])).
% 1.02/1.09 cnf(566,plain,
% 1.02/1.09 (~E(a11,x5661)+~P7(f20(a1),f19(a12))),
% 1.02/1.09 inference(scs_inference,[],[103,47,59,366,512,372,500,504,402,464,514,151,404,461,140,142,310,311,86,79,17,83,25,36,3,33,2,22,67,63,61,77,9,13,11,10,8,4,14,12,7,93])).
% 1.02/1.09 cnf(570,plain,
% 1.02/1.09 (~E(a11,x5701)+~P11(f19(f19(x5702)),f3(f19(x5702)))),
% 1.02/1.09 inference(scs_inference,[],[103,47,59,366,512,372,500,504,402,464,514,151,404,461,140,142,310,311,86,79,17,83,25,36,3,33,2,22,67,63,61,77,9,13,11,10,8,4,14,12,7,93,84,85])).
% 1.02/1.09 cnf(578,plain,
% 1.02/1.09 (~E(a11,x5781)+~P7(a8,f19(a15))),
% 1.02/1.09 inference(scs_inference,[],[103,47,106,45,54,59,49,57,366,512,372,411,500,504,402,464,514,151,307,404,461,140,142,167,310,163,311,86,79,17,83,25,36,3,33,2,22,67,63,61,77,9,13,11,10,8,4,14,12,7,93,84,85,32,26,41,98,92])).
% 1.02/1.09 cnf(593,plain,
% 1.02/1.09 (E(f17(x5931,f3(a2)),f17(x5931,f3(a15)))),
% 1.02/1.09 inference(equality_inference,[],[559])).
% 1.02/1.09 cnf(594,plain,
% 1.02/1.09 (E(f17(f3(a2),x5941),f17(f3(a15),x5941))),
% 1.02/1.09 inference(equality_inference,[],[560])).
% 1.02/1.09 cnf(600,plain,
% 1.02/1.09 (~P7(f20(a1),f19(a12))),
% 1.02/1.09 inference(equality_inference,[],[566])).
% 1.02/1.09 cnf(602,plain,
% 1.02/1.09 (~P11(f19(f19(x6021)),f3(f19(x6021)))),
% 1.02/1.09 inference(equality_inference,[],[570])).
% 1.02/1.09 cnf(606,plain,
% 1.02/1.09 (~P7(a8,f19(a15))),
% 1.02/1.09 inference(equality_inference,[],[578])).
% 1.02/1.09 cnf(625,plain,
% 1.02/1.09 (E(f17(f3(a2),x6251),f17(f3(a15),x6251))),
% 1.02/1.09 inference(rename_variables,[],[594])).
% 1.02/1.09 cnf(633,plain,
% 1.02/1.09 (~P11(f17(a1,a12),a12)),
% 1.02/1.09 inference(scs_inference,[],[103,55,54,602,545,429,593,594,625,431,600,543,112,152,364,420,142,79,93,84,24,83,32,25,3,33,2,21,87])).
% 1.02/1.09 cnf(652,plain,
% 1.02/1.09 (P7(f16(x6521),x6521)),
% 1.02/1.09 inference(rename_variables,[],[54])).
% 1.02/1.09 cnf(679,plain,
% 1.02/1.09 (~P6(f16(f19(a2)),a1)+~E(a10,x6791)),
% 1.02/1.09 inference(scs_inference,[],[109,106,53,54,652,400,317,375,606,374,593,144,126,150,500,366,402,44,360,56,86,79,95,93,24,83,36,3,33,2,16,65,62,64,60,28])).
% 1.02/1.09 cnf(693,plain,
% 1.02/1.09 (~P6(f16(f19(a2)),a1)),
% 1.02/1.09 inference(equality_inference,[],[679])).
% 1.02/1.09 cnf(701,plain,
% 1.02/1.09 ($false),
% 1.02/1.09 inference(scs_inference,[],[457,453,693,633,153,464,173,248,373,79,6,24,28,83]),
% 1.02/1.09 ['proof']).
% 1.02/1.09 % SZS output end Proof
% 1.02/1.09 % Total time :0.460000s
%------------------------------------------------------------------------------