TSTP Solution File: SEU413+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 16:19:48 EDT 2023
% Result : Theorem 0.20s 0.77s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 18:06:08 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.76 %-------------------------------------------
% 0.20/0.76 % File :CSE---1.6
% 0.20/0.76 % Problem :theBenchmark
% 0.20/0.76 % Transform :cnf
% 0.20/0.76 % Format :tptp:raw
% 0.20/0.76 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.76
% 0.20/0.76 % Result :Theorem 0.130000s
% 0.20/0.76 % Output :CNFRefutation 0.130000s
% 0.20/0.76 %-------------------------------------------
% 0.20/0.76 %------------------------------------------------------------------------------
% 0.20/0.76 % File : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.20/0.76 % Domain : Set Theory
% 0.20/0.76 % Problem : The Operation of Addition of Relational Structures T23
% 0.20/0.76 % Version : [Urb08] axioms : Especial.
% 0.20/0.76 % English :
% 0.20/0.76
% 0.20/0.76 % Refs : [RG04] Romanowicz & Grabowski (2004), The Operation of Additi
% 0.20/0.76 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.20/0.76 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.20/0.76 % Source : [Urb08]
% 0.20/0.76 % Names : t23_latsum_1 [Urb08]
% 0.20/0.76
% 0.20/0.76 % Status : Theorem
% 0.20/0.76 % Rating : 0.19 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.35 v4.0.0, 0.38 v3.7.0, 0.40 v3.5.0, 0.42 v3.4.0
% 0.20/0.76 % Syntax : Number of formulae : 42 ( 21 unt; 0 def)
% 0.20/0.76 % Number of atoms : 88 ( 9 equ)
% 0.20/0.76 % Maximal formula atoms : 9 ( 2 avg)
% 0.20/0.76 % Number of connectives : 52 ( 6 ~; 1 |; 16 &)
% 0.20/0.76 % ( 3 <=>; 26 =>; 0 <=; 0 <~>)
% 0.20/0.76 % Maximal formula depth : 13 ( 4 avg)
% 0.20/0.76 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.76 % Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% 0.20/0.77 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.20/0.77 % Number of variables : 69 ( 62 !; 7 ?)
% 0.20/0.77 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.77
% 0.20/0.77 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.20/0.77 % other articles) and background that are possibly necessary.
% 0.20/0.77 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.20/0.77 % : The problem encoding is based on set theory.
% 0.20/0.77 %------------------------------------------------------------------------------
% 0.20/0.77 fof(t23_latsum_1,conjecture,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ( l1_orders_2(A)
% 0.20/0.77 => ! [B] :
% 0.20/0.77 ( l1_orders_2(B)
% 0.20/0.77 => ! [C] :
% 0.20/0.77 ( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))
% 0.20/0.77 => ! [D] :
% 0.20/0.77 ( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B)))
% 0.20/0.77 => ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
% 0.20/0.77 & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))
% 0.20/0.77 & r1_orders_2(k1_latsum_1(A,B),C,D)
% 0.20/0.77 & r2_hidden(D,u1_struct_0(A)) )
% 0.20/0.77 => r2_hidden(C,u1_struct_0(A)) ) ) ) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(abstractness_v1_orders_2,axiom,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ( l1_orders_2(A)
% 0.20/0.77 => ( v1_orders_2(A)
% 0.20/0.77 => A = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ( r2_hidden(A,B)
% 0.20/0.77 => ~ r2_hidden(B,A) ) ).
% 0.20/0.77
% 0.20/0.77 fof(cc1_relset_1,axiom,
% 0.20/0.77 ! [A,B,C] :
% 0.20/0.77 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.20/0.77 => v1_relat_1(C) ) ).
% 0.20/0.77
% 0.20/0.77 fof(commutativity_k3_xboole_0,axiom,
% 0.20/0.77 ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ).
% 0.20/0.77
% 0.20/0.77 fof(d9_orders_2,axiom,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ( l1_orders_2(A)
% 0.20/0.77 => ! [B] :
% 0.20/0.77 ( m1_subset_1(B,u1_struct_0(A))
% 0.20/0.77 => ! [C] :
% 0.20/0.77 ( m1_subset_1(C,u1_struct_0(A))
% 0.20/0.77 => ( r1_orders_2(A,B,C)
% 0.20/0.77 <=> r2_hidden(k4_tarski(B,C),u1_orders_2(A)) ) ) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(dt_g1_orders_2,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ( m1_relset_1(B,A,A)
% 0.20/0.77 => ( v1_orders_2(g1_orders_2(A,B))
% 0.20/0.77 & l1_orders_2(g1_orders_2(A,B)) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(dt_k1_latsum_1,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ( ( l1_orders_2(A)
% 0.20/0.77 & l1_orders_2(B) )
% 0.20/0.77 => ( v1_orders_2(k1_latsum_1(A,B))
% 0.20/0.77 & l1_orders_2(k1_latsum_1(A,B)) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(dt_k1_xboole_0,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_k1_zfmisc_1,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_k2_zfmisc_1,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_k3_xboole_0,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_k4_tarski,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_l1_orders_2,axiom,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ( l1_orders_2(A)
% 0.20/0.77 => l1_struct_0(A) ) ).
% 0.20/0.77
% 0.20/0.77 fof(dt_l1_struct_0,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_m1_relset_1,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_m1_subset_1,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(dt_m2_relset_1,axiom,
% 0.20/0.77 ! [A,B,C] :
% 0.20/0.77 ( m2_relset_1(C,A,B)
% 0.20/0.77 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 0.20/0.77
% 0.20/0.77 fof(dt_u1_orders_2,axiom,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ( l1_orders_2(A)
% 0.20/0.77 => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ).
% 0.20/0.77
% 0.20/0.77 fof(dt_u1_struct_0,axiom,
% 0.20/0.77 $true ).
% 0.20/0.77
% 0.20/0.77 fof(existence_l1_orders_2,axiom,
% 0.20/0.77 ? [A] : l1_orders_2(A) ).
% 0.20/0.77
% 0.20/0.77 fof(existence_l1_struct_0,axiom,
% 0.20/0.77 ? [A] : l1_struct_0(A) ).
% 0.20/0.77
% 0.20/0.77 fof(existence_m1_relset_1,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ? [C] : m1_relset_1(C,A,B) ).
% 0.20/0.77
% 0.20/0.77 fof(existence_m1_subset_1,axiom,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ? [B] : m1_subset_1(B,A) ).
% 0.20/0.77
% 0.20/0.77 fof(existence_m2_relset_1,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ? [C] : m2_relset_1(C,A,B) ).
% 0.20/0.77
% 0.20/0.77 fof(fc1_xboole_0,axiom,
% 0.20/0.77 v1_xboole_0(k1_xboole_0) ).
% 0.20/0.77
% 0.20/0.77 fof(free_g1_orders_2,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ( m1_relset_1(B,A,A)
% 0.20/0.77 => ! [C,D] :
% 0.20/0.77 ( g1_orders_2(A,B) = g1_orders_2(C,D)
% 0.20/0.77 => ( A = C
% 0.20/0.77 & B = D ) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(idempotence_k3_xboole_0,axiom,
% 0.20/0.77 ! [A,B] : k3_xboole_0(A,A) = A ).
% 0.20/0.77
% 0.20/0.77 fof(rc1_xboole_0,axiom,
% 0.20/0.77 ? [A] : v1_xboole_0(A) ).
% 0.20/0.77
% 0.20/0.77 fof(rc2_xboole_0,axiom,
% 0.20/0.77 ? [A] : ~ v1_xboole_0(A) ).
% 0.20/0.77
% 0.20/0.77 fof(redefinition_m2_relset_1,axiom,
% 0.20/0.77 ! [A,B,C] :
% 0.20/0.77 ( m2_relset_1(C,A,B)
% 0.20/0.77 <=> m1_relset_1(C,A,B) ) ).
% 0.20/0.77
% 0.20/0.77 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.77 ! [A,B] : r1_tarski(A,A) ).
% 0.20/0.77
% 0.20/0.77 fof(t1_subset,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ( r2_hidden(A,B)
% 0.20/0.77 => m1_subset_1(A,B) ) ).
% 0.20/0.77
% 0.20/0.77 fof(t21_latsum_1,axiom,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ( l1_orders_2(A)
% 0.20/0.77 => ! [B] :
% 0.20/0.77 ( l1_orders_2(B)
% 0.20/0.77 => ! [C,D] :
% 0.20/0.77 ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
% 0.20/0.77 & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))
% 0.20/0.77 & r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))
% 0.20/0.77 & r2_hidden(D,u1_struct_0(A)) )
% 0.20/0.77 => r2_hidden(C,u1_struct_0(A)) ) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(t2_boole,axiom,
% 0.20/0.77 ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ).
% 0.20/0.77
% 0.20/0.77 fof(t2_subset,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ( m1_subset_1(A,B)
% 0.20/0.77 => ( v1_xboole_0(B)
% 0.20/0.77 | r2_hidden(A,B) ) ) ).
% 0.20/0.77
% 0.20/0.77 fof(t3_subset,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.20/0.77 <=> r1_tarski(A,B) ) ).
% 0.20/0.77
% 0.20/0.77 fof(t4_subset,axiom,
% 0.20/0.77 ! [A,B,C] :
% 0.20/0.77 ( ( r2_hidden(A,B)
% 0.20/0.77 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.20/0.77 => m1_subset_1(A,C) ) ).
% 0.20/0.77
% 0.20/0.77 fof(t5_subset,axiom,
% 0.20/0.77 ! [A,B,C] :
% 0.20/0.77 ~ ( r2_hidden(A,B)
% 0.20/0.77 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.20/0.77 & v1_xboole_0(C) ) ).
% 0.20/0.77
% 0.20/0.77 fof(t6_boole,axiom,
% 0.20/0.77 ! [A] :
% 0.20/0.77 ( v1_xboole_0(A)
% 0.20/0.77 => A = k1_xboole_0 ) ).
% 0.20/0.77
% 0.20/0.77 fof(t7_boole,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ~ ( r2_hidden(A,B)
% 0.20/0.77 & v1_xboole_0(B) ) ).
% 0.20/0.77
% 0.20/0.77 fof(t8_boole,axiom,
% 0.20/0.77 ! [A,B] :
% 0.20/0.77 ~ ( v1_xboole_0(A)
% 0.20/0.77 & A != B
% 0.20/0.77 & v1_xboole_0(B) ) ).
% 0.20/0.77
% 0.20/0.77 %------------------------------------------------------------------------------
% 0.20/0.77 %-------------------------------------------
% 0.20/0.77 % Proof found
% 0.20/0.77 % SZS status Theorem for theBenchmark
% 0.20/0.77 % SZS output start Proof
% 0.20/0.77 %ClaNum:90(EqnAxiom:43)
% 0.20/0.77 %VarNum:168(SingletonVarNum:72)
% 0.20/0.77 %MaxLitNum:7
% 0.20/0.77 %MaxfuncDepth:2
% 0.20/0.77 %SharedTerms:29
% 0.20/0.77 %goalClause: 44 45 53 56 57 58 59 60 64
% 0.20/0.77 %singleGoalClaCount:9
% 0.20/0.78 [44]P1(a1)
% 0.20/0.78 [45]P1(a4)
% 0.20/0.78 [46]P1(a5)
% 0.20/0.78 [47]P2(a8)
% 0.20/0.78 [48]P3(a9)
% 0.20/0.78 [49]P3(a2)
% 0.20/0.78 [63]~P3(a3)
% 0.20/0.78 [53]P9(a6,f18(a1))
% 0.20/0.78 [60]P7(f12(a1,a4),a7,a6)
% 0.20/0.78 [64]~P9(a7,f18(a1))
% 0.20/0.78 [56]P10(f15(f18(a1),f18(a4)),a4)
% 0.20/0.78 [57]P5(a7,f18(f12(a1,a4)))
% 0.20/0.78 [58]P5(a6,f18(f12(a1,a4)))
% 0.20/0.78 [59]P5(f15(f18(a1),f18(a4)),f16(f18(a4)))
% 0.20/0.78 [51]P4(x511,x511)
% 0.20/0.78 [50]E(f15(x501,a9),a9)
% 0.20/0.78 [52]E(f15(x521,x521),x521)
% 0.20/0.78 [54]P5(f10(x541),x541)
% 0.20/0.78 [55]E(f15(x551,x552),f15(x552,x551))
% 0.20/0.78 [61]P6(f11(x611,x612),x611,x612)
% 0.20/0.78 [62]P8(f13(x621,x622),x621,x622)
% 0.20/0.78 [65]~P3(x651)+E(x651,a9)
% 0.20/0.78 [66]~P1(x661)+P2(x661)
% 0.20/0.78 [79]~P1(x791)+P8(f19(x791),f18(x791),f18(x791))
% 0.20/0.78 [68]~P3(x681)+~P9(x682,x681)
% 0.20/0.78 [69]~P9(x691,x692)+P5(x691,x692)
% 0.20/0.78 [75]~P9(x752,x751)+~P9(x751,x752)
% 0.20/0.78 [72]~P4(x721,x722)+P5(x721,f16(x722))
% 0.20/0.78 [76]P4(x761,x762)+~P5(x761,f16(x762))
% 0.20/0.78 [80]~P6(x802,x801,x801)+P1(f14(x801,x802))
% 0.20/0.78 [81]~P6(x812,x811,x811)+P11(f14(x811,x812))
% 0.20/0.78 [85]~P8(x851,x852,x853)+P6(x851,x852,x853)
% 0.20/0.78 [86]~P6(x861,x862,x863)+P8(x861,x862,x863)
% 0.20/0.78 [82]P12(x821)+~P5(x821,f16(f17(x822,x823)))
% 0.20/0.78 [87]~P8(x871,x872,x873)+P5(x871,f16(f17(x872,x873)))
% 0.20/0.78 [71]~P1(x711)+~P11(x711)+E(f14(f18(x711),f19(x711)),x711)
% 0.20/0.78 [67]~P3(x672)+~P3(x671)+E(x671,x672)
% 0.20/0.78 [70]~P5(x702,x701)+P3(x701)+P9(x702,x701)
% 0.20/0.78 [73]~P1(x732)+~P1(x731)+P1(f12(x731,x732))
% 0.20/0.78 [74]~P1(x742)+~P1(x741)+P11(f12(x741,x742))
% 0.20/0.78 [77]~P3(x771)+~P9(x772,x773)+~P5(x773,f16(x771))
% 0.20/0.78 [78]P5(x781,x782)+~P9(x781,x783)+~P5(x783,f16(x782))
% 0.20/0.78 [83]~P6(x831,x833,x833)+E(x831,x832)+~E(f14(x833,x831),f14(x834,x832))
% 0.20/0.78 [84]~P6(x843,x841,x841)+E(x841,x842)+~E(f14(x841,x843),f14(x842,x844))
% 0.20/0.78 [88]~P1(x881)+P7(x881,x882,x883)+~P5(x883,f18(x881))+~P5(x882,f18(x881))+~P9(f20(x882,x883),f19(x881))
% 0.20/0.78 [89]~P1(x893)+~P7(x893,x891,x892)+~P5(x892,f18(x893))+~P5(x891,f18(x893))+P9(f20(x891,x892),f19(x893))
% 0.20/0.78 [90]~P1(x902)+~P1(x903)+P9(x901,f18(x902))+~P9(x904,f18(x902))+~P9(f20(x901,x904),f19(f12(x902,x903)))+~P10(f15(f18(x902),f18(x903)),x903)+~P5(f15(f18(x902),f18(x903)),f16(f18(x903)))
% 0.20/0.78 %EqnAxiom
% 0.20/0.78 [1]E(x11,x11)
% 0.20/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.78 [4]~E(x41,x42)+E(f15(x41,x43),f15(x42,x43))
% 0.20/0.78 [5]~E(x51,x52)+E(f15(x53,x51),f15(x53,x52))
% 0.20/0.78 [6]~E(x61,x62)+E(f16(x61),f16(x62))
% 0.20/0.78 [7]~E(x71,x72)+E(f18(x71),f18(x72))
% 0.20/0.78 [8]~E(x81,x82)+E(f10(x81),f10(x82))
% 0.20/0.78 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 0.20/0.78 [10]~E(x101,x102)+E(f20(x101,x103),f20(x102,x103))
% 0.20/0.78 [11]~E(x111,x112)+E(f20(x113,x111),f20(x113,x112))
% 0.20/0.78 [12]~E(x121,x122)+E(f12(x121,x123),f12(x122,x123))
% 0.20/0.78 [13]~E(x131,x132)+E(f12(x133,x131),f12(x133,x132))
% 0.20/0.78 [14]~E(x141,x142)+E(f14(x141,x143),f14(x142,x143))
% 0.20/0.78 [15]~E(x151,x152)+E(f14(x153,x151),f14(x153,x152))
% 0.20/0.78 [16]~E(x161,x162)+E(f17(x161,x163),f17(x162,x163))
% 0.20/0.78 [17]~E(x171,x172)+E(f17(x173,x171),f17(x173,x172))
% 0.20/0.78 [18]~E(x181,x182)+E(f11(x181,x183),f11(x182,x183))
% 0.20/0.78 [19]~E(x191,x192)+E(f11(x193,x191),f11(x193,x192))
% 0.20/0.78 [20]~E(x201,x202)+E(f13(x201,x203),f13(x202,x203))
% 0.20/0.78 [21]~E(x211,x212)+E(f13(x213,x211),f13(x213,x212))
% 0.20/0.78 [22]~P1(x221)+P1(x222)+~E(x221,x222)
% 0.20/0.78 [23]P5(x232,x233)+~E(x231,x232)+~P5(x231,x233)
% 0.20/0.78 [24]P5(x243,x242)+~E(x241,x242)+~P5(x243,x241)
% 0.20/0.78 [25]P9(x252,x253)+~E(x251,x252)+~P9(x251,x253)
% 0.20/0.78 [26]P9(x263,x262)+~E(x261,x262)+~P9(x263,x261)
% 0.20/0.78 [27]~P2(x271)+P2(x272)+~E(x271,x272)
% 0.20/0.78 [28]~P3(x281)+P3(x282)+~E(x281,x282)
% 0.20/0.78 [29]~P12(x291)+P12(x292)+~E(x291,x292)
% 0.20/0.78 [30]P4(x302,x303)+~E(x301,x302)+~P4(x301,x303)
% 0.20/0.78 [31]P4(x313,x312)+~E(x311,x312)+~P4(x313,x311)
% 0.20/0.78 [32]P8(x322,x323,x324)+~E(x321,x322)+~P8(x321,x323,x324)
% 0.20/0.78 [33]P8(x333,x332,x334)+~E(x331,x332)+~P8(x333,x331,x334)
% 0.20/0.78 [34]P8(x343,x344,x342)+~E(x341,x342)+~P8(x343,x344,x341)
% 0.20/0.78 [35]P7(x352,x353,x354)+~E(x351,x352)+~P7(x351,x353,x354)
% 0.20/0.78 [36]P7(x363,x362,x364)+~E(x361,x362)+~P7(x363,x361,x364)
% 0.20/0.78 [37]P7(x373,x374,x372)+~E(x371,x372)+~P7(x373,x374,x371)
% 0.20/0.78 [38]P10(x382,x383)+~E(x381,x382)+~P10(x381,x383)
% 0.20/0.78 [39]P10(x393,x392)+~E(x391,x392)+~P10(x393,x391)
% 0.20/0.78 [40]P6(x402,x403,x404)+~E(x401,x402)+~P6(x401,x403,x404)
% 0.20/0.78 [41]P6(x413,x412,x414)+~E(x411,x412)+~P6(x413,x411,x414)
% 0.20/0.78 [42]P6(x423,x424,x422)+~E(x421,x422)+~P6(x423,x424,x421)
% 0.20/0.78 [43]~P11(x431)+P11(x432)+~E(x431,x432)
% 0.20/0.78
% 0.20/0.78 %-------------------------------------------
% 0.20/0.78 cnf(91,plain,
% 0.20/0.78 (E(x911,f15(x911,x911))),
% 0.20/0.78 inference(scs_inference,[],[52,2])).
% 0.20/0.78 cnf(97,plain,
% 0.20/0.78 (P5(f10(x971),x971)),
% 0.20/0.78 inference(rename_variables,[],[54])).
% 0.20/0.78 cnf(102,plain,
% 0.20/0.78 (P6(f11(x1021,x1022),x1021,x1022)),
% 0.20/0.78 inference(rename_variables,[],[61])).
% 0.20/0.78 cnf(104,plain,
% 0.20/0.78 (P6(f11(x1041,x1042),x1041,x1042)),
% 0.20/0.78 inference(rename_variables,[],[61])).
% 0.20/0.78 cnf(110,plain,
% 0.20/0.78 (~E(f18(a1),a9)),
% 0.20/0.78 inference(scs_inference,[],[51,48,53,56,59,61,102,104,62,52,54,55,2,75,68,82,76,42,41,40,38,34,31,30,26])).
% 0.20/0.78 cnf(113,plain,
% 0.20/0.78 (P5(f10(x1131),x1131)),
% 0.20/0.78 inference(rename_variables,[],[54])).
% 0.20/0.78 cnf(114,plain,
% 0.20/0.78 (E(f15(x1141,x1141),x1141)),
% 0.20/0.78 inference(rename_variables,[],[52])).
% 0.20/0.78 cnf(117,plain,
% 0.20/0.78 (~E(f18(a1),f15(a9,a9))),
% 0.20/0.78 inference(scs_inference,[],[51,48,53,64,56,59,61,102,104,62,52,114,54,97,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3])).
% 0.20/0.78 cnf(118,plain,
% 0.20/0.78 (E(f15(x1181,x1181),x1181)),
% 0.20/0.78 inference(rename_variables,[],[52])).
% 0.20/0.78 cnf(119,plain,
% 0.20/0.78 (P9(f10(a3),a3)),
% 0.20/0.78 inference(scs_inference,[],[51,48,63,53,64,56,59,61,102,104,62,52,114,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70])).
% 0.20/0.78 cnf(121,plain,
% 0.20/0.78 (~P3(f18(a1))),
% 0.20/0.78 inference(scs_inference,[],[51,48,63,53,64,56,59,61,102,104,62,52,114,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67])).
% 0.20/0.78 cnf(135,plain,
% 0.20/0.78 (E(f13(x1351,f15(x1352,x1352)),f13(x1351,x1352))),
% 0.20/0.78 inference(scs_inference,[],[44,51,48,49,63,53,64,56,59,61,102,104,62,52,114,118,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67,86,85,69,66,65,72,21])).
% 0.20/0.78 cnf(145,plain,
% 0.20/0.78 (E(f20(x1451,f15(x1452,x1452)),f20(x1451,x1452))),
% 0.20/0.78 inference(scs_inference,[],[44,51,48,49,63,53,64,56,59,61,102,104,62,52,114,118,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67,86,85,69,66,65,72,21,20,19,18,17,16,15,14,13,12,11])).
% 0.20/0.78 cnf(149,plain,
% 0.20/0.78 (E(f18(f15(x1491,x1491)),f18(x1491))),
% 0.20/0.78 inference(scs_inference,[],[44,51,48,49,63,53,64,56,59,61,102,104,62,52,114,118,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67,86,85,69,66,65,72,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 0.20/0.78 cnf(150,plain,
% 0.20/0.78 (E(f16(f15(x1501,x1501)),f16(x1501))),
% 0.20/0.78 inference(scs_inference,[],[44,51,48,49,63,53,64,56,59,61,102,104,62,52,114,118,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67,86,85,69,66,65,72,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 0.20/0.78 cnf(163,plain,
% 0.20/0.78 (~E(a9,a3)),
% 0.20/0.78 inference(scs_inference,[],[44,51,48,49,63,53,64,56,59,61,102,104,62,52,114,118,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67,86,85,69,66,65,72,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,87,81,80,79,43,29,28])).
% 0.20/0.78 cnf(165,plain,
% 0.20/0.78 (~P5(f18(a1),f16(a9))),
% 0.20/0.78 inference(scs_inference,[],[44,51,48,49,63,53,64,56,59,61,102,104,62,52,114,118,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67,86,85,69,66,65,72,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,87,81,80,79,43,29,28,22,77])).
% 0.20/0.78 cnf(171,plain,
% 0.20/0.78 (~P9(f20(a7,a6),f19(f12(a1,a4)))),
% 0.20/0.78 inference(scs_inference,[],[44,51,45,48,49,63,53,64,56,59,61,102,104,62,52,114,118,54,97,113,55,2,75,68,82,76,42,41,40,38,34,31,30,26,25,24,23,3,70,67,86,85,69,66,65,72,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,87,81,80,79,43,29,28,22,77,74,73,90])).
% 0.20/0.78 cnf(190,plain,
% 0.20/0.78 (P8(f13(x1901,x1902),x1901,x1902)),
% 0.20/0.78 inference(rename_variables,[],[62])).
% 0.20/0.78 cnf(191,plain,
% 0.20/0.78 (P2(f15(a8,a8))),
% 0.20/0.78 inference(scs_inference,[],[47,50,62,91,33,27])).
% 0.20/0.78 cnf(192,plain,
% 0.20/0.78 (E(x1921,f15(x1921,x1921))),
% 0.20/0.78 inference(rename_variables,[],[91])).
% 0.20/0.78 cnf(208,plain,
% 0.20/0.78 (E(f15(x2081,x2081),x2081)),
% 0.20/0.78 inference(rename_variables,[],[52])).
% 0.20/0.78 cnf(227,plain,
% 0.20/0.78 (E(f15(x2271,a9),a9)),
% 0.20/0.78 inference(rename_variables,[],[50])).
% 0.20/0.78 cnf(230,plain,
% 0.20/0.78 (E(x2301,f15(x2301,x2301))),
% 0.20/0.78 inference(rename_variables,[],[91])).
% 0.20/0.78 cnf(231,plain,
% 0.20/0.78 (~P1(f12(a1,a4))),
% 0.20/0.78 inference(scs_inference,[],[46,47,50,45,49,60,57,58,62,190,54,63,64,56,53,52,208,91,192,149,150,135,145,171,117,121,165,110,119,33,27,69,77,73,72,2,75,39,32,30,23,3,70,78,74,31,28,26,25,24,76,40,34,22,89])).
% 0.20/0.78 cnf(233,plain,
% 0.20/0.78 (P6(f11(x2331,f15(x2332,a9)),x2331,a9)),
% 0.20/0.78 inference(scs_inference,[],[46,47,50,227,45,49,60,57,58,61,62,190,54,63,64,56,53,52,208,91,192,149,150,135,145,171,117,121,165,110,119,33,27,69,77,73,72,2,75,39,32,30,23,3,70,78,74,31,28,26,25,24,76,40,34,22,89,42])).
% 0.20/0.78 cnf(234,plain,
% 0.20/0.78 (P6(f11(x2341,x2342),x2341,x2342)),
% 0.20/0.78 inference(rename_variables,[],[61])).
% 0.20/0.78 cnf(241,plain,
% 0.20/0.78 (P7(f12(a1,a4),a7,x2411)+~E(a6,x2411)),
% 0.20/0.78 inference(scs_inference,[],[44,46,47,50,227,45,49,60,57,58,61,234,62,190,54,63,64,56,53,52,208,91,192,230,149,150,135,145,171,117,121,165,110,119,33,27,69,77,73,72,2,75,39,32,30,23,3,70,78,74,31,28,26,25,24,76,40,34,22,89,42,41,90,36,35,37])).
% 0.20/0.78 cnf(245,plain,
% 0.20/0.78 (E(x2451,f15(x2451,x2451))),
% 0.20/0.78 inference(rename_variables,[],[91])).
% 0.20/0.78 cnf(255,plain,
% 0.20/0.78 ($false),
% 0.20/0.78 inference(scs_inference,[],[45,91,245,51,49,54,231,233,191,163,44,241,84,77,27,72,73]),
% 0.20/0.78 ['proof']).
% 0.20/0.78 % SZS output end Proof
% 0.20/0.78 % Total time :0.130000s
%------------------------------------------------------------------------------