TSTP Solution File: SEU225+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 16:18:33 EDT 2023
% Result : Theorem 1.15s 1.19s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n014.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 : Wed Aug 23 21:30:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.08/1.17 %-------------------------------------------
% 1.08/1.17 % File :CSE---1.6
% 1.08/1.17 % Problem :theBenchmark
% 1.08/1.17 % Transform :cnf
% 1.08/1.17 % Format :tptp:raw
% 1.08/1.17 % Command :java -jar mcs_scs.jar %d %s
% 1.08/1.17
% 1.08/1.17 % Result :Theorem 0.550000s
% 1.08/1.17 % Output :CNFRefutation 0.550000s
% 1.08/1.17 %-------------------------------------------
% 1.08/1.18 %------------------------------------------------------------------------------
% 1.08/1.18 % File : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% 1.08/1.18 % Domain : Set theory
% 1.08/1.18 % Problem : Functions and their basic properties, theorem 72
% 1.08/1.18 % Version : [Urb06] axioms : Especial.
% 1.08/1.18 % English :
% 1.08/1.18
% 1.08/1.18 % Refs : [Byl90] Bylinski (1990), Functions and Their Basic Properties
% 1.08/1.18 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 1.08/1.18 % Source : [Urb06]
% 1.08/1.18 % Names : funct_1__t72_funct_1 [Urb06]
% 1.08/1.18
% 1.08/1.18 % Status : Theorem
% 1.08/1.18 % Rating : 0.31 v8.1.0, 0.33 v7.5.0, 0.41 v7.4.0, 0.27 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.35 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.33 v6.2.0, 0.32 v6.1.0, 0.50 v6.0.0, 0.48 v5.5.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.56 v5.2.0, 0.40 v5.1.0, 0.43 v5.0.0, 0.42 v4.1.0, 0.39 v4.0.0, 0.38 v3.7.0, 0.35 v3.5.0, 0.37 v3.4.0, 0.42 v3.3.0, 0.57 v3.2.0
% 1.08/1.18 % Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% 1.08/1.18 % Number of atoms : 114 ( 14 equ)
% 1.08/1.18 % Maximal formula atoms : 8 ( 2 avg)
% 1.08/1.18 % Number of connectives : 84 ( 16 ~; 1 |; 38 &)
% 1.08/1.18 % ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% 1.08/1.18 % Maximal formula depth : 10 ( 4 avg)
% 1.08/1.18 % Maximal term depth : 3 ( 1 avg)
% 1.08/1.18 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty)
% 1.08/1.18 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 1.08/1.18 % Number of variables : 76 ( 65 !; 11 ?)
% 1.08/1.18 % SPC : FOF_THM_RFO_SEQ
% 1.08/1.18
% 1.08/1.18 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 1.08/1.18 % library, www.mizar.org
% 1.08/1.18 %------------------------------------------------------------------------------
% 1.08/1.18 fof(antisymmetry_r2_hidden,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( in(A,B)
% 1.08/1.18 => ~ in(B,A) ) ).
% 1.08/1.18
% 1.08/1.18 fof(cc1_funct_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ( empty(A)
% 1.08/1.18 => function(A) ) ).
% 1.08/1.18
% 1.08/1.18 fof(cc1_relat_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ( empty(A)
% 1.08/1.18 => relation(A) ) ).
% 1.08/1.18
% 1.08/1.18 fof(cc2_funct_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ( ( relation(A)
% 1.08/1.18 & empty(A)
% 1.08/1.18 & function(A) )
% 1.08/1.18 => ( relation(A)
% 1.08/1.18 & function(A)
% 1.08/1.18 & one_to_one(A) ) ) ).
% 1.08/1.18
% 1.08/1.18 fof(commutativity_k2_tarski,axiom,
% 1.08/1.18 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 1.08/1.18
% 1.08/1.18 fof(commutativity_k3_xboole_0,axiom,
% 1.08/1.18 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 1.08/1.18
% 1.08/1.18 fof(d4_funct_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ( ( relation(A)
% 1.08/1.18 & function(A) )
% 1.08/1.18 => ! [B,C] :
% 1.08/1.18 ( ( in(B,relation_dom(A))
% 1.08/1.18 => ( C = apply(A,B)
% 1.08/1.18 <=> in(ordered_pair(B,C),A) ) )
% 1.08/1.18 & ( ~ in(B,relation_dom(A))
% 1.08/1.18 => ( C = apply(A,B)
% 1.08/1.18 <=> C = empty_set ) ) ) ) ).
% 1.08/1.18
% 1.08/1.18 fof(d5_tarski,axiom,
% 1.08/1.18 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 1.08/1.18
% 1.08/1.18 fof(dt_k7_relat_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( relation(A)
% 1.08/1.18 => relation(relation_dom_restriction(A,B)) ) ).
% 1.08/1.18
% 1.08/1.18 fof(existence_m1_subset_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ? [B] : element(B,A) ).
% 1.08/1.18
% 1.08/1.18 fof(fc12_relat_1,axiom,
% 1.08/1.18 ( empty(empty_set)
% 1.08/1.18 & relation(empty_set)
% 1.08/1.18 & relation_empty_yielding(empty_set) ) ).
% 1.08/1.18
% 1.08/1.18 fof(fc13_relat_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( relation(A)
% 1.08/1.18 & relation_empty_yielding(A) )
% 1.08/1.18 => ( relation(relation_dom_restriction(A,B))
% 1.08/1.18 & relation_empty_yielding(relation_dom_restriction(A,B)) ) ) ).
% 1.08/1.18
% 1.08/1.18 fof(fc1_relat_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( relation(A)
% 1.08/1.18 & relation(B) )
% 1.08/1.18 => relation(set_intersection2(A,B)) ) ).
% 1.08/1.18
% 1.08/1.18 fof(fc1_subset_1,axiom,
% 1.08/1.18 ! [A] : ~ empty(powerset(A)) ).
% 1.08/1.18
% 1.08/1.18 fof(fc1_xboole_0,axiom,
% 1.08/1.18 empty(empty_set) ).
% 1.08/1.18
% 1.08/1.18 fof(fc1_zfmisc_1,axiom,
% 1.08/1.18 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 1.08/1.18
% 1.08/1.18 fof(fc2_subset_1,axiom,
% 1.08/1.18 ! [A] : ~ empty(singleton(A)) ).
% 1.08/1.18
% 1.08/1.18 fof(fc3_subset_1,axiom,
% 1.08/1.18 ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 1.08/1.18
% 1.08/1.18 fof(fc4_funct_1,axiom,
% 1.08/1.18 ! [A,B] :
% 1.08/1.18 ( ( relation(A)
% 1.08/1.18 & function(A) )
% 1.08/1.18 => ( relation(relation_dom_restriction(A,B))
% 1.08/1.18 & function(relation_dom_restriction(A,B)) ) ) ).
% 1.08/1.18
% 1.08/1.18 fof(fc4_relat_1,axiom,
% 1.08/1.18 ( empty(empty_set)
% 1.08/1.18 & relation(empty_set) ) ).
% 1.08/1.18
% 1.08/1.18 fof(fc5_relat_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ( ( ~ empty(A)
% 1.08/1.18 & relation(A) )
% 1.08/1.18 => ~ empty(relation_dom(A)) ) ).
% 1.08/1.18
% 1.08/1.18 fof(fc7_relat_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ( empty(A)
% 1.08/1.18 => ( empty(relation_dom(A))
% 1.08/1.18 & relation(relation_dom(A)) ) ) ).
% 1.08/1.18
% 1.08/1.18 fof(idempotence_k3_xboole_0,axiom,
% 1.08/1.18 ! [A,B] : set_intersection2(A,A) = A ).
% 1.08/1.18
% 1.08/1.18 fof(l82_funct_1,axiom,
% 1.08/1.18 ! [A,B,C] :
% 1.08/1.18 ( ( relation(C)
% 1.08/1.18 & function(C) )
% 1.08/1.18 => ( in(B,relation_dom(relation_dom_restriction(C,A)))
% 1.08/1.18 <=> ( in(B,relation_dom(C))
% 1.08/1.18 & in(B,A) ) ) ) ).
% 1.08/1.18
% 1.08/1.18 fof(rc1_funct_1,axiom,
% 1.08/1.18 ? [A] :
% 1.08/1.18 ( relation(A)
% 1.08/1.18 & function(A) ) ).
% 1.08/1.18
% 1.08/1.18 fof(rc1_relat_1,axiom,
% 1.08/1.18 ? [A] :
% 1.08/1.18 ( empty(A)
% 1.08/1.18 & relation(A) ) ).
% 1.08/1.18
% 1.08/1.18 fof(rc1_subset_1,axiom,
% 1.08/1.18 ! [A] :
% 1.08/1.18 ( ~ empty(A)
% 1.08/1.19 => ? [B] :
% 1.08/1.19 ( element(B,powerset(A))
% 1.08/1.19 & ~ empty(B) ) ) ).
% 1.08/1.19
% 1.08/1.19 fof(rc1_xboole_0,axiom,
% 1.08/1.19 ? [A] : empty(A) ).
% 1.08/1.19
% 1.08/1.19 fof(rc2_funct_1,axiom,
% 1.08/1.19 ? [A] :
% 1.08/1.19 ( relation(A)
% 1.08/1.19 & empty(A)
% 1.08/1.19 & function(A) ) ).
% 1.08/1.19
% 1.08/1.19 fof(rc2_relat_1,axiom,
% 1.08/1.19 ? [A] :
% 1.08/1.19 ( ~ empty(A)
% 1.08/1.19 & relation(A) ) ).
% 1.08/1.19
% 1.08/1.19 fof(rc2_subset_1,axiom,
% 1.08/1.19 ! [A] :
% 1.08/1.19 ? [B] :
% 1.08/1.19 ( element(B,powerset(A))
% 1.08/1.19 & empty(B) ) ).
% 1.08/1.19
% 1.08/1.19 fof(rc2_xboole_0,axiom,
% 1.08/1.19 ? [A] : ~ empty(A) ).
% 1.08/1.19
% 1.08/1.19 fof(rc3_funct_1,axiom,
% 1.08/1.19 ? [A] :
% 1.08/1.19 ( relation(A)
% 1.08/1.19 & function(A)
% 1.08/1.19 & one_to_one(A) ) ).
% 1.08/1.19
% 1.08/1.19 fof(rc3_relat_1,axiom,
% 1.08/1.19 ? [A] :
% 1.08/1.19 ( relation(A)
% 1.08/1.19 & relation_empty_yielding(A) ) ).
% 1.08/1.19
% 1.08/1.19 fof(reflexivity_r1_tarski,axiom,
% 1.08/1.19 ! [A,B] : subset(A,A) ).
% 1.08/1.19
% 1.08/1.19 fof(t1_subset,axiom,
% 1.08/1.19 ! [A,B] :
% 1.08/1.19 ( in(A,B)
% 1.08/1.19 => element(A,B) ) ).
% 1.08/1.19
% 1.08/1.19 fof(t2_boole,axiom,
% 1.08/1.19 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 1.08/1.19
% 1.08/1.19 fof(t2_subset,axiom,
% 1.08/1.19 ! [A,B] :
% 1.08/1.19 ( element(A,B)
% 1.15/1.19 => ( empty(B)
% 1.15/1.19 | in(A,B) ) ) ).
% 1.15/1.19
% 1.15/1.19 fof(t3_subset,axiom,
% 1.15/1.19 ! [A,B] :
% 1.15/1.19 ( element(A,powerset(B))
% 1.15/1.19 <=> subset(A,B) ) ).
% 1.15/1.19
% 1.15/1.19 fof(t4_subset,axiom,
% 1.15/1.19 ! [A,B,C] :
% 1.15/1.19 ( ( in(A,B)
% 1.15/1.19 & element(B,powerset(C)) )
% 1.15/1.19 => element(A,C) ) ).
% 1.15/1.19
% 1.15/1.19 fof(t5_subset,axiom,
% 1.15/1.19 ! [A,B,C] :
% 1.15/1.19 ~ ( in(A,B)
% 1.15/1.19 & element(B,powerset(C))
% 1.15/1.19 & empty(C) ) ).
% 1.15/1.19
% 1.15/1.19 fof(t68_funct_1,axiom,
% 1.15/1.19 ! [A,B] :
% 1.15/1.19 ( ( relation(B)
% 1.15/1.19 & function(B) )
% 1.15/1.19 => ! [C] :
% 1.15/1.19 ( ( relation(C)
% 1.15/1.19 & function(C) )
% 1.15/1.19 => ( B = relation_dom_restriction(C,A)
% 1.15/1.19 <=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)
% 1.15/1.19 & ! [D] :
% 1.15/1.19 ( in(D,relation_dom(B))
% 1.15/1.19 => apply(B,D) = apply(C,D) ) ) ) ) ) ).
% 1.15/1.19
% 1.15/1.19 fof(t6_boole,axiom,
% 1.15/1.19 ! [A] :
% 1.15/1.19 ( empty(A)
% 1.15/1.19 => A = empty_set ) ).
% 1.15/1.19
% 1.15/1.19 fof(t72_funct_1,conjecture,
% 1.15/1.19 ! [A,B,C] :
% 1.15/1.19 ( ( relation(C)
% 1.15/1.19 & function(C) )
% 1.15/1.19 => ( in(B,A)
% 1.15/1.19 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ).
% 1.15/1.19
% 1.15/1.19 fof(t7_boole,axiom,
% 1.15/1.19 ! [A,B] :
% 1.15/1.19 ~ ( in(A,B)
% 1.15/1.19 & empty(B) ) ).
% 1.15/1.19
% 1.15/1.19 fof(t8_boole,axiom,
% 1.15/1.19 ! [A,B] :
% 1.15/1.19 ~ ( empty(A)
% 1.15/1.19 & A != B
% 1.15/1.19 & empty(B) ) ).
% 1.15/1.19
% 1.15/1.19 %------------------------------------------------------------------------------
% 1.15/1.19 %-------------------------------------------
% 1.15/1.19 % Proof found
% 1.15/1.19 % SZS status Theorem for theBenchmark
% 1.15/1.19 % SZS output start Proof
% 1.15/1.19 %ClaNum:104(EqnAxiom:31)
% 1.15/1.19 %VarNum:215(SingletonVarNum:85)
% 1.15/1.19 %MaxLitNum:7
% 1.15/1.19 %MaxfuncDepth:2
% 1.15/1.19 %SharedTerms:38
% 1.15/1.19 %goalClause: 41 50 55 68
% 1.15/1.19 %singleGoalClaCount:4
% 1.15/1.19 [34]P1(a1)
% 1.15/1.19 [35]P1(a3)
% 1.15/1.19 [36]P1(a12)
% 1.15/1.19 [37]P1(a14)
% 1.15/1.19 [38]P3(a4)
% 1.15/1.19 [39]P3(a14)
% 1.15/1.19 [40]P3(a5)
% 1.15/1.19 [41]P3(a6)
% 1.15/1.19 [43]P4(a1)
% 1.15/1.19 [44]P4(a4)
% 1.15/1.19 [45]P4(a3)
% 1.15/1.19 [46]P4(a14)
% 1.15/1.19 [47]P4(a15)
% 1.15/1.19 [48]P4(a5)
% 1.15/1.19 [49]P4(a7)
% 1.15/1.19 [50]P4(a6)
% 1.15/1.19 [51]P5(a5)
% 1.15/1.19 [52]P7(a1)
% 1.15/1.19 [53]P7(a7)
% 1.15/1.19 [55]P6(a8,a9)
% 1.15/1.19 [63]~P1(a15)
% 1.15/1.19 [64]~P1(a19)
% 1.15/1.19 [68]~E(f2(f20(a6,a9),a8),f2(a6,a8))
% 1.15/1.19 [57]P8(x571,x571)
% 1.15/1.19 [54]P1(f16(x541))
% 1.15/1.19 [56]E(f17(x561,a1),a1)
% 1.15/1.19 [58]E(f17(x581,x581),x581)
% 1.15/1.19 [59]P2(f11(x591),x591)
% 1.15/1.19 [60]P2(f16(x601),f18(x601))
% 1.15/1.19 [65]~P1(f23(x651))
% 1.15/1.19 [66]~P1(f18(x661))
% 1.15/1.19 [61]E(f22(x611,x612),f22(x612,x611))
% 1.15/1.19 [62]E(f17(x621,x622),f17(x622,x621))
% 1.15/1.19 [67]~P1(f22(x671,x672))
% 1.15/1.19 [70]~P1(x701)+E(x701,a1)
% 1.15/1.19 [71]~P1(x711)+P3(x711)
% 1.15/1.19 [72]~P1(x721)+P4(x721)
% 1.15/1.19 [74]~P1(x741)+P1(f21(x741))
% 1.15/1.19 [75]~P1(x751)+P4(f21(x751))
% 1.15/1.19 [76]P1(x761)+~P1(f13(x761))
% 1.15/1.19 [80]P1(x801)+P2(f13(x801),f18(x801))
% 1.15/1.19 [79]~P1(x791)+~P6(x792,x791)
% 1.15/1.19 [81]~P6(x811,x812)+P2(x811,x812)
% 1.15/1.19 [90]~P6(x902,x901)+~P6(x901,x902)
% 1.15/1.19 [82]~P4(x821)+P4(f20(x821,x822))
% 1.15/1.19 [84]~P8(x841,x842)+P2(x841,f18(x842))
% 1.15/1.19 [91]P8(x911,x912)+~P2(x911,f18(x912))
% 1.15/1.19 [78]~P4(x781)+P1(x781)+~P1(f21(x781))
% 1.15/1.19 [73]~P1(x732)+~P1(x731)+E(x731,x732)
% 1.15/1.19 [83]~P2(x832,x831)+P1(x831)+P6(x832,x831)
% 1.15/1.19 [85]~P3(x851)+~P4(x851)+P3(f20(x851,x852))
% 1.15/1.19 [86]~P4(x862)+~P4(x861)+P4(f17(x861,x862))
% 1.15/1.19 [89]~P4(x891)+~P7(x891)+P7(f20(x891,x892))
% 1.15/1.19 [94]~P1(x941)+~P6(x942,x943)+~P2(x943,f18(x941))
% 1.15/1.19 [95]P2(x951,x952)+~P6(x951,x953)+~P2(x953,f18(x952))
% 1.15/1.19 [77]~P1(x771)+~P3(x771)+~P4(x771)+P5(x771)
% 1.15/1.19 [99]~P4(x993)+P6(x991,x992)+~P3(x993)+~P6(x991,f21(f20(x993,x992)))
% 1.15/1.19 [100]~P3(x1002)+~P4(x1002)+P6(x1001,f21(x1002))+~P6(x1001,f21(f20(x1002,x1003)))
% 1.15/1.19 [92]~P3(x922)+~P4(x922)+P6(x923,f21(x922))+~E(x921,a1)+E(x921,f2(x922,x923))
% 1.15/1.19 [93]~P3(x933)+~P4(x933)+~E(x931,f2(x933,x932))+E(x931,a1)+P6(x932,f21(x933))
% 1.15/1.19 [98]~P3(x982)+~P4(x982)+~P6(x981,x983)+~P6(x981,f21(x982))+P6(x981,f21(f20(x982,x983)))
% 1.15/1.19 [101]~P3(x1013)+~P4(x1013)+~E(x1012,f2(x1013,x1011))+~P6(x1011,f21(x1013))+P6(f22(f22(x1011,x1012),f23(x1011)),x1013)
% 1.15/1.19 [103]~P3(x1032)+~P4(x1032)+~P6(x1033,f21(x1032))+E(x1031,f2(x1032,x1033))+~P6(f22(f22(x1033,x1031),f23(x1033)),x1032)
% 1.15/1.19 [96]~P3(x962)+~P3(x961)+~P4(x962)+~P4(x961)+~E(x961,f20(x962,x963))+E(f21(x961),f17(f21(x962),x963))
% 1.15/1.19 [102]~P3(x1022)+~P3(x1021)+~P4(x1022)+~P4(x1021)+P6(f10(x1023,x1021,x1022),f21(x1021))+E(x1021,f20(x1022,x1023))+~E(f21(x1021),f17(f21(x1022),x1023))
% 1.15/1.19 [104]~P3(x1042)+~P3(x1041)+~P4(x1042)+~P4(x1041)+E(x1041,f20(x1042,x1043))+~E(f21(x1041),f17(f21(x1042),x1043))+~E(f2(x1041,f10(x1043,x1041,x1042)),f2(x1042,f10(x1043,x1041,x1042)))
% 1.15/1.19 [97]~P3(x973)+~P3(x971)+~P4(x973)+~P4(x971)+~P6(x972,f21(x971))+E(f2(x971,x972),f2(x973,x972))+~E(x971,f20(x973,x974))
% 1.15/1.19 %EqnAxiom
% 1.15/1.19 [1]E(x11,x11)
% 1.15/1.19 [2]E(x22,x21)+~E(x21,x22)
% 1.15/1.19 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.15/1.19 [4]~E(x41,x42)+E(f16(x41),f16(x42))
% 1.15/1.19 [5]~E(x51,x52)+E(f17(x51,x53),f17(x52,x53))
% 1.15/1.19 [6]~E(x61,x62)+E(f17(x63,x61),f17(x63,x62))
% 1.15/1.19 [7]~E(x71,x72)+E(f10(x71,x73,x74),f10(x72,x73,x74))
% 1.15/1.19 [8]~E(x81,x82)+E(f10(x83,x81,x84),f10(x83,x82,x84))
% 1.15/1.19 [9]~E(x91,x92)+E(f10(x93,x94,x91),f10(x93,x94,x92))
% 1.15/1.19 [10]~E(x101,x102)+E(f11(x101),f11(x102))
% 1.15/1.19 [11]~E(x111,x112)+E(f2(x111,x113),f2(x112,x113))
% 1.15/1.19 [12]~E(x121,x122)+E(f2(x123,x121),f2(x123,x122))
% 1.15/1.19 [13]~E(x131,x132)+E(f18(x131),f18(x132))
% 1.15/1.19 [14]~E(x141,x142)+E(f22(x141,x143),f22(x142,x143))
% 1.15/1.19 [15]~E(x151,x152)+E(f22(x153,x151),f22(x153,x152))
% 1.15/1.19 [16]~E(x161,x162)+E(f20(x161,x163),f20(x162,x163))
% 1.15/1.19 [17]~E(x171,x172)+E(f20(x173,x171),f20(x173,x172))
% 1.15/1.19 [18]~E(x181,x182)+E(f21(x181),f21(x182))
% 1.15/1.19 [19]~E(x191,x192)+E(f23(x191),f23(x192))
% 1.15/1.19 [20]~E(x201,x202)+E(f13(x201),f13(x202))
% 1.15/1.19 [21]~P1(x211)+P1(x212)+~E(x211,x212)
% 1.15/1.19 [22]~P4(x221)+P4(x222)+~E(x221,x222)
% 1.15/1.19 [23]P6(x232,x233)+~E(x231,x232)+~P6(x231,x233)
% 1.15/1.19 [24]P6(x243,x242)+~E(x241,x242)+~P6(x243,x241)
% 1.15/1.19 [25]~P3(x251)+P3(x252)+~E(x251,x252)
% 1.15/1.19 [26]~P5(x261)+P5(x262)+~E(x261,x262)
% 1.15/1.19 [27]P8(x272,x273)+~E(x271,x272)+~P8(x271,x273)
% 1.15/1.19 [28]P8(x283,x282)+~E(x281,x282)+~P8(x283,x281)
% 1.15/1.19 [29]P2(x292,x293)+~E(x291,x292)+~P2(x291,x293)
% 1.15/1.19 [30]P2(x303,x302)+~E(x301,x302)+~P2(x303,x301)
% 1.15/1.19 [31]~P7(x311)+P7(x312)+~E(x311,x312)
% 1.15/1.19
% 1.15/1.19 %-------------------------------------------
% 1.15/1.19 cnf(105,plain,
% 1.15/1.19 (E(x1051,f17(x1051,x1051))),
% 1.15/1.19 inference(scs_inference,[],[58,2])).
% 1.15/1.19 cnf(106,plain,
% 1.15/1.19 (~P6(a9,a8)),
% 1.15/1.19 inference(scs_inference,[],[55,58,2,90])).
% 1.15/1.19 cnf(108,plain,
% 1.15/1.19 (~P6(x1081,a1)),
% 1.15/1.19 inference(scs_inference,[],[55,34,58,2,90,79])).
% 1.15/1.19 cnf(110,plain,
% 1.15/1.19 (P8(f11(f18(x1101)),x1101)),
% 1.15/1.19 inference(scs_inference,[],[55,34,58,59,2,90,79,91])).
% 1.15/1.19 cnf(111,plain,
% 1.15/1.19 (P2(f11(x1111),x1111)),
% 1.15/1.19 inference(rename_variables,[],[59])).
% 1.15/1.19 cnf(113,plain,
% 1.15/1.19 (~E(f20(a6,a9),a6)),
% 1.15/1.19 inference(scs_inference,[],[55,34,68,58,59,2,90,79,91,11])).
% 1.15/1.19 cnf(114,plain,
% 1.15/1.19 (P7(f17(a1,a1))),
% 1.15/1.19 inference(scs_inference,[],[55,34,52,68,58,59,2,90,79,91,11,31])).
% 1.15/1.19 cnf(116,plain,
% 1.15/1.19 (P2(f11(x1161),x1161)),
% 1.15/1.19 inference(rename_variables,[],[59])).
% 1.15/1.19 cnf(117,plain,
% 1.15/1.19 (E(f17(x1171,x1171),x1171)),
% 1.15/1.19 inference(rename_variables,[],[58])).
% 1.15/1.19 cnf(118,plain,
% 1.15/1.19 (P8(f17(x1181,x1181),x1181)),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,52,68,58,117,59,111,2,90,79,91,11,31,30,28])).
% 1.15/1.19 cnf(119,plain,
% 1.15/1.19 (P8(x1191,f17(x1191,x1191))),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,52,68,58,117,59,111,2,90,79,91,11,31,30,28,27])).
% 1.15/1.19 cnf(120,plain,
% 1.15/1.19 (~E(a9,a1)),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,52,68,58,117,59,111,2,90,79,91,11,31,30,28,27,24])).
% 1.15/1.19 cnf(121,plain,
% 1.15/1.19 (P4(f17(a1,a1))),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,43,52,68,58,117,59,111,2,90,79,91,11,31,30,28,27,24,22])).
% 1.15/1.19 cnf(122,plain,
% 1.15/1.19 (~P1(f17(a15,a15))),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,43,52,63,68,58,117,59,111,2,90,79,91,11,31,30,28,27,24,22,21])).
% 1.15/1.19 cnf(123,plain,
% 1.15/1.19 (E(f17(x1231,x1231),x1231)),
% 1.15/1.19 inference(rename_variables,[],[58])).
% 1.15/1.19 cnf(125,plain,
% 1.15/1.19 (E(f17(x1251,x1251),x1251)),
% 1.15/1.19 inference(rename_variables,[],[58])).
% 1.15/1.19 cnf(126,plain,
% 1.15/1.19 (P6(f11(a15),a15)),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,43,52,63,68,58,117,123,59,111,116,2,90,79,91,11,31,30,28,27,24,22,21,3,83])).
% 1.15/1.19 cnf(127,plain,
% 1.15/1.19 (P2(f11(x1271),x1271)),
% 1.15/1.19 inference(rename_variables,[],[59])).
% 1.15/1.19 cnf(131,plain,
% 1.15/1.19 (~P6(x1311,f11(f18(a1)))),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,43,52,63,68,58,117,123,59,111,116,127,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94])).
% 1.15/1.19 cnf(139,plain,
% 1.15/1.19 (P3(a1)),
% 1.15/1.19 inference(scs_inference,[],[57,55,34,36,37,39,43,46,52,63,68,58,117,123,59,111,116,127,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71])).
% 1.15/1.19 cnf(145,plain,
% 1.15/1.19 (P4(f20(a6,x1451))),
% 1.15/1.19 inference(scs_inference,[],[57,50,55,34,35,36,37,39,43,46,52,63,68,58,117,123,59,111,116,127,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82])).
% 1.15/1.19 cnf(171,plain,
% 1.15/1.19 (~E(a5,x1711)+P5(x1711)),
% 1.15/1.19 inference(scs_inference,[],[57,50,55,34,35,36,37,39,43,46,51,52,63,68,58,117,123,125,59,111,116,127,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26])).
% 1.15/1.19 cnf(172,plain,
% 1.15/1.19 (P3(f17(a1,a1))),
% 1.15/1.19 inference(scs_inference,[],[57,50,55,34,35,36,37,39,43,46,51,52,63,68,58,117,123,125,59,111,116,127,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25])).
% 1.15/1.19 cnf(173,plain,
% 1.15/1.19 (~P6(f17(a9,a9),a8)),
% 1.15/1.19 inference(scs_inference,[],[57,50,55,34,35,36,37,39,43,46,51,52,63,68,58,117,123,125,59,111,116,127,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25,23])).
% 1.15/1.19 cnf(178,plain,
% 1.15/1.19 (P3(f20(a6,x1781))),
% 1.15/1.19 inference(scs_inference,[],[41,57,50,55,34,35,36,37,39,43,46,51,52,63,68,58,117,123,125,59,111,116,127,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25,23,89,86,85])).
% 1.15/1.19 cnf(188,plain,
% 1.15/1.19 (E(f17(x1881,a1),f2(f20(a6,a8),a9))),
% 1.15/1.19 inference(scs_inference,[],[41,57,50,55,34,35,36,37,39,43,46,47,51,52,63,68,58,117,123,125,59,111,116,127,56,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25,23,89,86,85,78,99,100,93,92])).
% 1.15/1.19 cnf(190,plain,
% 1.15/1.19 (~P2(f17(a9,a9),x1901)+P2(a9,x1901)),
% 1.15/1.20 inference(scs_inference,[],[41,57,50,55,34,35,36,37,39,43,46,47,51,52,63,68,58,117,123,125,59,111,116,127,56,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25,23,89,86,85,78,99,100,93,92,29])).
% 1.15/1.20 cnf(192,plain,
% 1.15/1.20 (P2(a8,x1921)+~P2(a9,f18(x1921))),
% 1.15/1.20 inference(scs_inference,[],[41,57,50,55,34,35,36,37,39,43,46,47,51,52,63,68,58,117,123,125,59,111,116,127,56,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25,23,89,86,85,78,99,100,93,92,29,95])).
% 1.15/1.20 cnf(194,plain,
% 1.15/1.20 (~P6(a8,f21(a6))+P6(a8,f21(f20(a6,a9)))),
% 1.15/1.20 inference(scs_inference,[],[41,57,50,55,34,35,36,37,39,43,46,47,51,52,63,68,58,117,123,125,59,111,116,127,56,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25,23,89,86,85,78,99,100,93,92,29,95,98])).
% 1.15/1.20 cnf(198,plain,
% 1.15/1.20 (~P4(f20(a6,a9))+~P3(f20(a6,a9))+~P6(a8,f21(a6))+~E(f20(a6,a9),f20(a6,x1981))),
% 1.15/1.20 inference(scs_inference,[],[41,57,50,55,34,35,36,37,39,43,46,47,51,52,63,68,58,117,123,125,59,111,116,127,56,2,90,79,91,11,31,30,28,27,24,22,21,3,83,73,94,77,81,72,71,70,84,82,76,75,74,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,80,26,25,23,89,86,85,78,99,100,93,92,29,95,98,96,97])).
% 1.15/1.20 cnf(201,plain,
% 1.15/1.20 (~P3(f20(a6,a9))+~P6(a8,f21(a6))+~P4(f20(a6,a9))),
% 1.15/1.20 inference(equality_inference,[],[198])).
% 1.15/1.20 cnf(202,plain,
% 1.15/1.20 (~P6(a8,f21(a6))),
% 1.15/1.20 inference(scs_inference,[],[178,145,201])).
% 1.15/1.20 cnf(204,plain,
% 1.15/1.20 (E(x2041,f17(x2041,x2041))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(205,plain,
% 1.15/1.20 (~P6(x2051,f21(a1))),
% 1.15/1.20 inference(scs_inference,[],[43,58,105,108,139,171,101])).
% 1.15/1.20 cnf(206,plain,
% 1.15/1.20 (~P6(x2061,a1)),
% 1.15/1.20 inference(rename_variables,[],[108])).
% 1.15/1.20 cnf(207,plain,
% 1.15/1.20 (E(f17(x2071,x2071),x2071)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(210,plain,
% 1.15/1.20 (E(x2101,f17(x2101,x2101))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(212,plain,
% 1.15/1.20 (P1(f11(f18(a1)))),
% 1.15/1.20 inference(scs_inference,[],[59,43,58,105,204,131,108,139,171,101,102,83])).
% 1.15/1.20 cnf(214,plain,
% 1.15/1.20 (P2(f11(x2141),x2141)),
% 1.15/1.20 inference(rename_variables,[],[59])).
% 1.15/1.20 cnf(222,plain,
% 1.15/1.20 (~E(f2(a6,a8),f2(f20(a6,a9),a8))),
% 1.15/1.20 inference(scs_inference,[],[44,49,53,59,43,58,68,105,204,131,108,139,171,101,102,83,89,86,100,2])).
% 1.15/1.20 cnf(223,plain,
% 1.15/1.20 (~P6(a15,f11(a15))),
% 1.15/1.20 inference(scs_inference,[],[44,49,53,59,43,58,68,105,204,131,108,126,139,171,101,102,83,89,86,100,2,90])).
% 1.15/1.20 cnf(225,plain,
% 1.15/1.20 (P2(f17(f16(x2251),f16(x2251)),f18(x2251))),
% 1.15/1.20 inference(scs_inference,[],[44,49,53,60,59,43,58,68,105,204,210,131,108,126,139,171,101,102,83,89,86,100,2,90,29])).
% 1.15/1.20 cnf(229,plain,
% 1.15/1.20 (~P2(a9,f18(f16(x2291)))),
% 1.15/1.20 inference(scs_inference,[],[44,49,53,54,60,59,43,58,207,68,55,105,204,210,131,108,113,126,139,171,101,102,83,89,86,100,2,90,29,22,3,94])).
% 1.15/1.20 cnf(235,plain,
% 1.15/1.20 (E(f2(f22(x2351,x2352),x2353),f2(f22(x2352,x2351),x2353))),
% 1.15/1.20 inference(scs_inference,[],[38,44,49,53,54,60,61,59,43,58,207,68,55,34,105,204,210,131,108,113,126,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11])).
% 1.15/1.20 cnf(236,plain,
% 1.15/1.20 (~P6(x2361,f17(x2362,a1))),
% 1.15/1.20 inference(scs_inference,[],[38,44,49,53,54,60,61,59,56,43,58,207,68,55,34,105,204,210,131,108,206,113,126,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24])).
% 1.15/1.20 cnf(248,plain,
% 1.15/1.20 (~P8(a9,f16(x2481))),
% 1.15/1.20 inference(scs_inference,[],[38,44,49,53,64,54,60,61,59,56,43,58,207,68,55,34,105,204,210,131,145,178,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84])).
% 1.15/1.20 cnf(252,plain,
% 1.15/1.20 (P2(f11(f22(x2521,x2522)),f22(x2522,x2521))),
% 1.15/1.20 inference(scs_inference,[],[38,44,49,53,64,54,60,61,59,214,56,43,58,207,68,55,34,105,204,210,131,145,178,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84,95,30])).
% 1.15/1.20 cnf(254,plain,
% 1.15/1.20 (P8(f22(x2541,x2542),f22(x2542,x2541))),
% 1.15/1.20 inference(scs_inference,[],[38,44,49,53,64,54,60,61,59,214,56,43,58,207,57,68,55,34,105,204,210,131,145,178,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84,95,30,28])).
% 1.15/1.20 cnf(255,plain,
% 1.15/1.20 (P8(x2551,x2551)),
% 1.15/1.20 inference(rename_variables,[],[57])).
% 1.15/1.20 cnf(256,plain,
% 1.15/1.20 (P8(f17(x2561,x2562),f17(x2562,x2561))),
% 1.15/1.20 inference(scs_inference,[],[38,44,49,53,64,54,60,61,62,59,214,56,43,58,207,57,255,68,55,34,105,204,210,131,145,178,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84,95,30,28,27])).
% 1.15/1.20 cnf(261,plain,
% 1.15/1.20 (~P2(f17(a9,a9),f18(f16(x2611)))),
% 1.15/1.20 inference(scs_inference,[],[38,44,49,53,64,54,60,61,62,59,214,56,43,58,207,57,255,68,55,34,105,204,210,172,131,145,178,188,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84,95,30,28,27,26,25,190])).
% 1.15/1.20 cnf(262,plain,
% 1.15/1.20 (E(a6,f20(a6,x2621))+~E(f21(a6),f17(f21(a6),x2621))),
% 1.15/1.20 inference(scs_inference,[],[41,38,44,49,53,64,54,60,61,62,59,214,56,43,58,207,57,255,68,55,34,50,105,204,210,172,131,145,178,188,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84,95,30,28,27,26,25,190,104])).
% 1.15/1.20 cnf(264,plain,
% 1.15/1.20 (P6(a8,f21(a6))+~E(f2(f20(a6,a9),a8),a1)),
% 1.15/1.20 inference(scs_inference,[],[41,38,44,49,53,64,54,60,61,62,59,214,56,43,58,207,57,255,68,55,34,50,105,204,210,172,131,145,178,188,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84,95,30,28,27,26,25,190,104,92])).
% 1.15/1.20 cnf(270,plain,
% 1.15/1.20 (~E(a7,x2701)+P7(x2701)),
% 1.15/1.20 inference(scs_inference,[],[41,38,44,49,53,64,54,60,61,62,59,214,56,43,58,207,57,255,68,55,34,50,105,204,210,172,131,145,178,188,108,206,113,126,120,139,171,101,102,83,89,86,100,2,90,29,22,3,94,85,77,11,24,21,103,81,99,93,84,95,30,28,27,26,25,190,104,92,78,96,31])).
% 1.15/1.20 cnf(272,plain,
% 1.15/1.20 (P7(f17(a7,a7))),
% 1.15/1.20 inference(scs_inference,[],[105,270])).
% 1.15/1.20 cnf(273,plain,
% 1.15/1.20 (E(x2731,f17(x2731,x2731))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(274,plain,
% 1.15/1.20 (~E(f2(f20(a6,a9),a8),a1)),
% 1.15/1.20 inference(scs_inference,[],[105,202,270,264])).
% 1.15/1.20 cnf(277,plain,
% 1.15/1.20 (P1(f17(x2771,a1))),
% 1.15/1.20 inference(scs_inference,[],[105,59,202,236,270,264,70,83])).
% 1.15/1.20 cnf(279,plain,
% 1.15/1.20 (~P6(x2791,f17(x2792,a1))),
% 1.15/1.20 inference(rename_variables,[],[236])).
% 1.15/1.20 cnf(283,plain,
% 1.15/1.20 (E(f17(x2831,x2831),x2831)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(288,plain,
% 1.15/1.20 (~P2(a9,f18(a3))),
% 1.15/1.20 inference(scs_inference,[],[105,35,59,60,58,55,202,261,121,236,279,172,270,264,70,83,101,95,94])).
% 1.15/1.20 cnf(290,plain,
% 1.15/1.20 (P2(x2901,f18(x2901))),
% 1.15/1.20 inference(scs_inference,[],[105,35,59,60,58,57,55,202,261,121,236,279,172,270,264,70,83,101,95,94,84])).
% 1.15/1.20 cnf(292,plain,
% 1.15/1.20 (~P6(x2921,f21(f20(f17(a1,a1),x2922)))),
% 1.15/1.20 inference(scs_inference,[],[105,35,59,60,58,57,55,202,261,121,236,279,172,270,264,70,83,101,95,94,84,100])).
% 1.15/1.20 cnf(296,plain,
% 1.15/1.20 (P6(f17(a8,a8),a9)),
% 1.15/1.20 inference(scs_inference,[],[105,273,35,59,60,58,57,55,202,261,121,236,279,172,120,270,264,70,83,101,95,94,84,100,93,23])).
% 1.15/1.20 cnf(297,plain,
% 1.15/1.20 (E(x2971,f17(x2971,x2971))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(302,plain,
% 1.15/1.20 (~P2(f17(a9,a9),f18(a3))),
% 1.15/1.20 inference(scs_inference,[],[105,273,35,59,60,56,58,283,57,55,202,261,121,236,279,172,120,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29])).
% 1.15/1.20 cnf(303,plain,
% 1.15/1.20 (E(f17(x3031,x3031),x3031)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(304,plain,
% 1.15/1.20 (~E(f17(a9,a9),f16(x3041))),
% 1.15/1.20 inference(scs_inference,[],[105,273,35,59,60,56,58,283,57,55,119,202,261,121,236,279,248,172,120,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29,28])).
% 1.15/1.20 cnf(308,plain,
% 1.15/1.20 (E(x3081,f17(x3081,x3081))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(310,plain,
% 1.15/1.20 (P6(a8,f17(a9,a9))),
% 1.15/1.20 inference(scs_inference,[],[65,105,273,297,308,35,59,60,56,58,283,303,57,55,118,119,202,261,121,236,279,248,172,120,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29,28,21,3,27,24])).
% 1.15/1.20 cnf(311,plain,
% 1.15/1.20 (E(x3111,f17(x3111,x3111))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(312,plain,
% 1.15/1.20 (~E(a6,f20(a6,a9))),
% 1.15/1.20 inference(scs_inference,[],[65,105,273,297,308,35,59,60,56,58,283,303,57,55,118,119,202,261,121,236,279,222,248,172,120,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29,28,21,3,27,24,11])).
% 1.15/1.20 cnf(314,plain,
% 1.15/1.20 (E(x3141,f17(x3141,x3141))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(318,plain,
% 1.15/1.20 (E(f17(a1,a1),f20(f17(a1,a1),f21(f17(a1,a1))))),
% 1.15/1.20 inference(scs_inference,[],[40,48,65,105,273,297,308,311,314,35,59,60,56,58,283,303,57,55,118,119,202,261,121,236,279,222,248,172,120,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29,28,21,3,27,24,11,262,98,102])).
% 1.15/1.20 cnf(323,plain,
% 1.15/1.20 (~P6(a8,f21(f20(a6,f21(a6))))),
% 1.15/1.20 inference(scs_inference,[],[50,40,48,65,105,273,297,308,311,314,35,59,60,56,58,283,303,57,55,118,119,202,261,121,236,279,222,248,172,120,41,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29,28,21,3,27,24,11,262,98,102,79,99])).
% 1.15/1.20 cnf(327,plain,
% 1.15/1.20 (P2(a9,f18(f17(a9,a9)))),
% 1.15/1.20 inference(scs_inference,[],[50,40,48,65,105,273,297,308,311,314,35,59,60,56,58,283,303,57,55,118,119,202,261,121,236,279,222,248,172,120,41,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29,28,21,3,27,24,11,262,98,102,79,99,92,190])).
% 1.15/1.20 cnf(330,plain,
% 1.15/1.20 (P5(f17(a1,a1))),
% 1.15/1.20 inference(scs_inference,[],[50,40,48,65,105,273,297,308,311,314,35,59,60,56,58,283,303,57,55,118,119,202,261,121,236,279,222,248,172,120,41,270,264,70,83,101,95,94,84,100,93,23,90,2,30,29,28,21,3,27,24,11,262,98,102,79,99,92,190,81,77])).
% 1.15/1.20 cnf(343,plain,
% 1.15/1.20 (E(a12,a1)),
% 1.15/1.20 inference(scs_inference,[],[36,312,327,192,262,70])).
% 1.15/1.20 cnf(347,plain,
% 1.15/1.20 (P1(f21(f20(f17(a1,a1),x3471)))),
% 1.15/1.20 inference(scs_inference,[],[36,59,292,312,327,192,262,70,79,83])).
% 1.15/1.20 cnf(348,plain,
% 1.15/1.20 (~P6(x3481,f21(f20(f17(a1,a1),x3482)))),
% 1.15/1.20 inference(rename_variables,[],[292])).
% 1.15/1.20 cnf(349,plain,
% 1.15/1.20 (P2(f11(x3491),x3491)),
% 1.15/1.20 inference(rename_variables,[],[59])).
% 1.15/1.20 cnf(353,plain,
% 1.15/1.20 (~P6(x3531,f11(f18(a12)))),
% 1.15/1.20 inference(scs_inference,[],[45,36,59,349,292,312,327,192,262,70,79,83,86,94])).
% 1.15/1.20 cnf(354,plain,
% 1.15/1.20 (P2(f11(x3541),x3541)),
% 1.15/1.20 inference(rename_variables,[],[59])).
% 1.15/1.20 cnf(356,plain,
% 1.15/1.20 (~P8(f17(a9,a9),a3)),
% 1.15/1.20 inference(scs_inference,[],[45,36,59,349,292,302,312,327,192,262,70,79,83,86,94,84])).
% 1.15/1.20 cnf(360,plain,
% 1.15/1.20 (P4(f20(f17(a1,a1),f21(f17(a1,a1))))),
% 1.15/1.20 inference(scs_inference,[],[45,36,59,349,292,318,302,312,327,121,192,262,70,79,83,86,94,84,81,22])).
% 1.15/1.20 cnf(361,plain,
% 1.15/1.20 (~E(f16(x3611),f17(a9,a9))),
% 1.15/1.20 inference(scs_inference,[],[45,36,59,349,292,304,318,302,312,327,121,192,262,70,79,83,86,94,84,81,22,2])).
% 1.15/1.20 cnf(362,plain,
% 1.15/1.20 (P2(f11(f17(x3621,x3622)),f17(x3622,x3621))),
% 1.15/1.20 inference(scs_inference,[],[45,36,62,59,349,354,292,304,318,302,312,327,121,192,262,70,79,83,86,94,84,81,22,2,30])).
% 1.15/1.20 cnf(363,plain,
% 1.15/1.20 (P2(f11(x3631),x3631)),
% 1.15/1.20 inference(rename_variables,[],[59])).
% 1.15/1.20 cnf(365,plain,
% 1.15/1.20 (E(x3651,f17(x3651,x3651))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(368,plain,
% 1.15/1.20 (P8(f17(f22(x3681,x3682),f22(x3681,x3682)),f22(x3682,x3681))),
% 1.15/1.20 inference(scs_inference,[],[45,36,62,105,365,59,349,354,363,56,110,254,292,304,318,302,274,312,327,121,192,262,70,79,83,86,94,84,81,22,2,30,29,3,28,27])).
% 1.15/1.20 cnf(369,plain,
% 1.15/1.20 (P1(f17(a1,x3691))),
% 1.15/1.20 inference(scs_inference,[],[45,36,62,105,365,59,349,354,363,56,110,254,292,304,318,277,302,274,312,327,121,192,262,70,79,83,86,94,84,81,22,2,30,29,3,28,27,21])).
% 1.15/1.20 cnf(370,plain,
% 1.15/1.20 (E(f17(x3701,x3702),f17(x3702,x3701))),
% 1.15/1.20 inference(rename_variables,[],[62])).
% 1.15/1.20 cnf(374,plain,
% 1.15/1.20 (P6(a8,f21(f20(a6,a9)))+~E(f2(a6,a8),a1)),
% 1.15/1.20 inference(scs_inference,[],[45,36,62,370,105,365,59,349,354,363,56,55,110,254,292,348,304,318,277,302,274,312,327,178,222,145,121,192,262,70,79,83,86,94,84,81,22,2,30,29,3,28,27,21,11,24,92])).
% 1.15/1.20 cnf(391,plain,
% 1.15/1.20 (P1(f20(f17(a1,a1),f21(f17(a1,a1))))),
% 1.15/1.20 inference(scs_inference,[],[347,360,78])).
% 1.15/1.20 cnf(394,plain,
% 1.15/1.20 (P6(f16(x3941),f18(x3941))),
% 1.15/1.20 inference(scs_inference,[],[66,60,347,360,78,83])).
% 1.15/1.20 cnf(395,plain,
% 1.15/1.20 (~P1(f18(x3951))),
% 1.15/1.20 inference(rename_variables,[],[66])).
% 1.15/1.20 cnf(397,plain,
% 1.15/1.20 (P4(f17(a15,a15))),
% 1.15/1.20 inference(scs_inference,[],[66,47,60,347,360,78,83,86])).
% 1.15/1.20 cnf(402,plain,
% 1.15/1.20 (E(f17(x4021,x4021),x4021)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(404,plain,
% 1.15/1.20 (~P2(a9,f18(a14))),
% 1.15/1.20 inference(scs_inference,[],[55,66,47,37,60,58,43,347,360,205,274,139,78,83,86,93,92,94])).
% 1.15/1.20 cnf(408,plain,
% 1.15/1.20 (P2(f17(f22(x4081,x4082),f22(x4081,x4082)),f18(f22(x4082,x4081)))),
% 1.15/1.20 inference(scs_inference,[],[55,66,47,37,60,58,43,368,347,360,205,274,139,78,83,86,93,92,94,100,84])).
% 1.15/1.20 cnf(410,plain,
% 1.15/1.20 (~P6(f18(x4101),f16(x4101))),
% 1.15/1.20 inference(scs_inference,[],[55,66,47,37,60,58,43,368,347,360,205,274,139,78,83,86,93,92,94,100,84,90])).
% 1.15/1.20 cnf(414,plain,
% 1.15/1.20 (P2(f16(x4141),f18(x4141))),
% 1.15/1.20 inference(rename_variables,[],[60])).
% 1.15/1.20 cnf(415,plain,
% 1.15/1.20 (~E(f17(f16(x4151),f16(x4151)),f17(a9,a9))),
% 1.15/1.20 inference(scs_inference,[],[55,66,47,37,105,60,58,43,368,347,361,360,205,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3])).
% 1.15/1.20 cnf(416,plain,
% 1.15/1.20 (E(x4161,f17(x4161,x4161))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(417,plain,
% 1.15/1.20 (~P8(f17(a9,a9),f17(a3,a3))),
% 1.15/1.20 inference(scs_inference,[],[55,66,47,37,105,60,58,402,43,368,347,361,360,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28])).
% 1.15/1.20 cnf(418,plain,
% 1.15/1.20 (E(f17(x4181,x4181),x4181)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(420,plain,
% 1.15/1.20 (E(x4201,f17(x4201,x4201))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(421,plain,
% 1.15/1.20 (~E(f20(a6,a9),a1)),
% 1.15/1.20 inference(scs_inference,[],[55,66,47,37,105,416,60,414,58,402,43,368,347,361,360,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11])).
% 1.15/1.20 cnf(422,plain,
% 1.15/1.20 (P4(f17(a7,a7))),
% 1.15/1.20 inference(scs_inference,[],[55,66,47,49,37,105,416,420,60,414,58,402,43,368,347,361,360,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22])).
% 1.15/1.20 cnf(423,plain,
% 1.15/1.20 (E(x4231,f17(x4231,x4231))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(425,plain,
% 1.15/1.20 (E(f17(x4251,x4251),x4251)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(428,plain,
% 1.15/1.20 (E(x4281,f17(x4281,x4281))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(431,plain,
% 1.15/1.20 (~P1(f13(f18(x4311)))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,105,416,420,423,60,414,58,402,418,43,368,347,361,360,223,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76])).
% 1.15/1.20 cnf(435,plain,
% 1.15/1.20 (P4(f16(x4351))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,54,105,416,420,423,60,414,58,402,418,43,368,347,361,360,223,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72])).
% 1.15/1.20 cnf(439,plain,
% 1.15/1.20 (P8(f16(x4391),x4391)),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,54,105,416,420,423,60,414,58,402,418,43,368,347,361,360,223,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91])).
% 1.15/1.20 cnf(441,plain,
% 1.15/1.20 (P3(a3)),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,60,414,58,402,418,43,368,347,361,360,223,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71])).
% 1.15/1.20 cnf(447,plain,
% 1.15/1.20 (E(f2(x4471,x4472),f2(x4471,f17(x4472,x4472)))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,60,414,58,402,418,43,368,347,361,360,223,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12])).
% 1.15/1.20 cnf(450,plain,
% 1.15/1.20 (P2(f13(f18(x4501)),f18(f18(x4501)))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,60,414,58,402,418,43,368,347,361,360,223,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80])).
% 1.15/1.20 cnf(453,plain,
% 1.15/1.20 (E(x4531,f17(x4531,x4531))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(458,plain,
% 1.15/1.20 (E(f11(x4581),f11(f17(x4581,x4581)))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,453,60,414,58,402,418,43,368,347,361,360,223,205,356,343,229,274,139,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80,102,20,18,17,10])).
% 1.15/1.20 cnf(463,plain,
% 1.15/1.20 (~P6(a8,f21(f20(a6,a9)))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,453,60,414,58,402,418,68,43,368,347,361,360,223,205,356,343,229,274,178,145,139,41,50,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80,102,20,18,17,10,8,7,6,4,97])).
% 1.15/1.20 cnf(467,plain,
% 1.15/1.20 (E(f18(a9),f18(f17(a9,a9)))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,453,60,414,58,402,418,68,43,368,347,361,360,223,205,356,343,229,274,178,145,139,41,50,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80,102,20,18,17,10,8,7,6,4,97,13])).
% 1.15/1.20 cnf(468,plain,
% 1.15/1.20 (E(x4681,f17(x4681,x4681))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(469,plain,
% 1.15/1.20 (~P1(f20(a6,a9))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,453,60,414,58,402,418,68,43,368,347,361,360,223,205,356,343,229,274,178,145,139,41,50,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80,102,20,18,17,10,8,7,6,4,97,13,70])).
% 1.15/1.20 cnf(471,plain,
% 1.15/1.20 (~P6(a9,f13(f18(f16(x4711))))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,453,60,414,58,402,418,68,43,368,347,361,360,223,205,356,343,229,274,178,145,139,41,50,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80,102,20,18,17,10,8,7,6,4,97,13,70,95])).
% 1.15/1.20 cnf(475,plain,
% 1.15/1.20 (~E(f2(a6,a8),a1)),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,453,60,414,58,402,418,68,43,368,347,361,360,223,205,356,343,229,288,274,178,145,139,41,50,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80,102,20,18,17,10,8,7,6,4,97,13,70,95,81,374])).
% 1.15/1.20 cnf(486,plain,
% 1.15/1.20 (~P2(f17(a9,a9),f18(a14))),
% 1.15/1.20 inference(scs_inference,[],[55,66,395,45,47,49,37,35,54,105,416,420,423,428,453,468,60,414,58,402,418,425,68,43,368,235,347,361,360,223,353,205,356,343,229,288,274,178,145,139,41,50,78,83,86,93,92,94,100,84,90,2,29,3,28,30,11,22,24,21,27,82,76,75,72,74,91,71,19,16,15,14,12,9,5,80,102,20,18,17,10,8,7,6,4,97,13,70,95,81,374,104,103,101,190])).
% 1.15/1.20 cnf(491,plain,
% 1.15/1.20 (~P6(a8,f21(a6))),
% 1.15/1.20 inference(scs_inference,[],[463,194])).
% 1.15/1.20 cnf(492,plain,
% 1.15/1.20 (~P2(f17(a9,a9),f18(f17(a3,a3)))),
% 1.15/1.20 inference(scs_inference,[],[417,91])).
% 1.15/1.20 cnf(495,plain,
% 1.15/1.20 (P4(f20(a6,x4951))),
% 1.15/1.20 inference(rename_variables,[],[145])).
% 1.15/1.20 cnf(499,plain,
% 1.15/1.20 (E(x4991,f17(x4991,x4991))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(505,plain,
% 1.15/1.20 (E(x5051,f17(x5051,x5051))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(507,plain,
% 1.15/1.20 (E(f17(x5071,x5071),x5071)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(509,plain,
% 1.15/1.20 (P6(f11(f22(x5091,x5092)),f22(x5091,x5092))),
% 1.15/1.20 inference(scs_inference,[],[67,39,54,105,499,59,58,43,410,469,330,417,467,114,205,145,139,91,78,26,31,70,23,25,93,83])).
% 1.15/1.20 cnf(513,plain,
% 1.15/1.20 (P3(f20(a6,x5131))),
% 1.15/1.20 inference(rename_variables,[],[178])).
% 1.15/1.20 cnf(514,plain,
% 1.15/1.20 (E(f17(x5141,x5141),x5141)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(515,plain,
% 1.15/1.20 (P4(f20(a6,x5151))),
% 1.15/1.20 inference(rename_variables,[],[145])).
% 1.15/1.20 cnf(521,plain,
% 1.15/1.20 (~P8(f17(a9,a9),a14)),
% 1.15/1.20 inference(scs_inference,[],[67,39,54,105,499,59,58,507,43,410,469,330,417,486,467,463,114,178,513,205,145,495,515,139,91,78,26,31,70,23,25,93,83,92,100,84])).
% 1.15/1.20 cnf(523,plain,
% 1.15/1.20 (~P6(f22(x5231,x5232),f11(f22(x5231,x5232)))),
% 1.15/1.20 inference(scs_inference,[],[67,39,54,105,499,59,58,507,43,410,469,330,417,486,467,463,114,178,513,205,145,495,515,139,91,78,26,31,70,23,25,93,83,92,100,84,90])).
% 1.15/1.20 cnf(525,plain,
% 1.15/1.20 (~P2(a9,f18(f17(a3,a3)))),
% 1.15/1.20 inference(scs_inference,[],[67,39,54,105,499,505,59,58,507,43,410,469,330,417,486,467,463,114,178,513,205,145,495,515,139,91,78,26,31,70,23,25,93,83,92,100,84,90,29])).
% 1.15/1.20 cnf(526,plain,
% 1.15/1.20 (E(x5261,f17(x5261,x5261))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(529,plain,
% 1.15/1.20 (~E(f17(a9,a9),f17(a3,a3))),
% 1.15/1.20 inference(scs_inference,[],[67,39,54,105,499,505,59,57,58,507,43,410,469,330,417,486,467,463,114,290,178,513,205,145,495,515,139,91,78,26,31,70,23,25,93,83,92,100,84,90,29,30,28])).
% 1.15/1.20 cnf(532,plain,
% 1.15/1.20 (E(f17(f22(x5321,x5322),f22(x5321,x5322)),f22(x5322,x5321))),
% 1.15/1.20 inference(scs_inference,[],[67,39,54,61,105,499,505,526,59,57,58,507,514,43,410,469,330,417,486,467,463,114,290,178,513,205,145,495,515,139,91,78,26,31,70,23,25,93,83,92,100,84,90,29,30,28,11,3])).
% 1.15/1.20 cnf(534,plain,
% 1.15/1.20 (~E(a1,f2(a6,a8))),
% 1.15/1.20 inference(scs_inference,[],[67,39,54,61,105,499,505,526,59,57,58,507,514,43,410,475,469,330,417,486,467,463,114,290,178,513,205,145,495,515,139,91,78,26,31,70,23,25,93,83,92,100,84,90,29,30,28,11,3,2])).
% 1.15/1.20 cnf(572,plain,
% 1.15/1.20 (E(f17(f2(a6,a8),f2(a6,a8)),a1)),
% 1.15/1.20 inference(scs_inference,[],[106,38,40,48,62,61,44,58,225,523,491,397,422,122,272,296,475,327,41,50,99,91,85,89,78,70,95,13,23,93])).
% 1.15/1.20 cnf(573,plain,
% 1.15/1.20 (E(f17(x5731,x5731),x5731)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(575,plain,
% 1.15/1.20 (P6(f11(f23(x5751)),f23(x5751))),
% 1.15/1.20 inference(scs_inference,[],[106,65,38,40,48,62,59,61,44,58,225,523,491,397,422,122,272,296,475,327,41,50,99,91,85,89,78,70,95,13,23,93,83])).
% 1.15/1.20 cnf(587,plain,
% 1.15/1.20 (P2(f17(x5871,x5872),f18(f17(x5872,x5871)))),
% 1.15/1.20 inference(scs_inference,[],[106,65,38,40,48,62,59,61,44,58,573,225,256,523,491,397,422,122,272,323,296,475,327,178,145,41,50,99,91,85,89,78,70,95,13,23,93,83,100,92,90,84])).
% 1.15/1.20 cnf(592,plain,
% 1.15/1.20 (E(x5921,f17(x5921,x5921))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(595,plain,
% 1.15/1.20 (P8(f17(x5951,x5952),f17(f17(x5952,x5951),f17(x5952,x5951)))),
% 1.15/1.20 inference(scs_inference,[],[106,65,38,40,48,62,59,61,105,44,58,573,56,225,532,256,523,491,397,422,122,272,421,323,296,119,475,327,290,178,145,41,50,99,91,85,89,78,70,95,13,23,93,83,100,92,90,84,29,30,3,2,27])).
% 1.15/1.20 cnf(596,plain,
% 1.15/1.20 (P8(f16(f17(x5961,x5962)),f17(x5962,x5961))),
% 1.15/1.20 inference(scs_inference,[],[106,65,38,40,48,62,59,61,105,44,58,573,56,225,532,256,439,523,491,397,422,122,272,421,323,296,119,475,327,290,178,145,41,50,99,91,85,89,78,70,95,13,23,93,83,100,92,90,84,29,30,3,2,27,28])).
% 1.15/1.20 cnf(598,plain,
% 1.15/1.20 (E(x5981,f17(x5981,x5981))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(604,plain,
% 1.15/1.20 (~P6(x6041,a3)),
% 1.15/1.20 inference(scs_inference,[],[106,108,65,35,38,40,48,62,59,61,105,592,598,44,58,573,56,225,532,256,439,509,523,491,397,422,122,272,421,323,296,119,475,327,290,178,145,41,50,99,91,85,89,78,70,95,13,23,93,83,100,92,90,84,29,30,3,2,27,28,21,24,102,79])).
% 1.15/1.20 cnf(622,plain,
% 1.15/1.20 (~P2(a9,f13(f18(f16(x6221))))),
% 1.15/1.20 inference(scs_inference,[],[60,37,431,492,471,70,95,83])).
% 1.15/1.20 cnf(625,plain,
% 1.15/1.20 (P6(f17(f16(x6251),f16(x6251)),f18(x6251))),
% 1.15/1.20 inference(scs_inference,[],[60,37,105,431,492,471,394,70,95,83,23])).
% 1.15/1.20 cnf(626,plain,
% 1.15/1.20 (E(x6261,f17(x6261,x6261))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(629,plain,
% 1.15/1.20 (~P8(a9,a14)),
% 1.15/1.20 inference(scs_inference,[],[60,37,105,431,492,404,471,394,70,95,83,23,90,84])).
% 1.15/1.20 cnf(632,plain,
% 1.15/1.20 (P2(f11(x6321),x6321)),
% 1.15/1.20 inference(rename_variables,[],[59])).
% 1.15/1.20 cnf(636,plain,
% 1.15/1.20 (E(f17(x6361,x6361),x6361)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(638,plain,
% 1.15/1.20 (E(x6381,f17(x6381,x6381))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(641,plain,
% 1.15/1.20 (~P8(f17(a9,a9),f17(a14,a14))),
% 1.15/1.20 inference(scs_inference,[],[66,36,60,37,59,632,105,626,58,636,56,431,415,492,529,404,471,521,394,70,95,83,23,90,84,29,30,27,3,2,21,28])).
% 1.15/1.20 cnf(642,plain,
% 1.15/1.20 (E(f17(x6421,x6421),x6421)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(645,plain,
% 1.15/1.20 (~P2(f17(f17(a9,a9),f17(a9,a9)),f18(a14))),
% 1.15/1.20 inference(scs_inference,[],[66,36,60,37,59,632,105,626,58,636,642,56,431,415,173,492,529,404,471,521,394,70,95,83,23,90,84,29,30,27,3,2,21,28,24,91])).
% 1.15/1.20 cnf(647,plain,
% 1.15/1.20 (E(a5,f20(a5,f21(a5)))),
% 1.15/1.20 inference(scs_inference,[],[66,36,40,48,60,37,59,632,105,626,638,58,636,642,56,431,415,173,492,529,404,471,521,394,70,95,83,23,90,84,29,30,27,3,2,21,28,24,91,104])).
% 1.15/1.20 cnf(678,plain,
% 1.15/1.20 (P2(f16(x6781),f18(x6781))),
% 1.15/1.20 inference(rename_variables,[],[60])).
% 1.15/1.20 cnf(680,plain,
% 1.15/1.20 (P6(f17(a8,a8),f21(a6))),
% 1.15/1.20 inference(scs_inference,[],[106,46,60,39,48,447,450,645,647,475,41,50,171,91,99,86,95,93])).
% 1.15/1.20 cnf(683,plain,
% 1.15/1.20 (P6(f17(f22(x6831,x6832),f22(x6831,x6832)),f18(f22(x6832,x6831)))),
% 1.15/1.20 inference(scs_inference,[],[106,66,46,60,39,48,408,447,450,645,647,475,41,50,171,91,99,86,95,93,83])).
% 1.15/1.20 cnf(687,plain,
% 1.15/1.20 (E(x6871,f17(x6871,x6871))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(690,plain,
% 1.15/1.20 (P2(f17(x6901,x6902),f18(f17(f17(x6902,x6901),f17(x6902,x6901))))),
% 1.15/1.20 inference(scs_inference,[],[106,66,46,60,39,38,105,48,408,595,447,450,645,647,475,41,50,171,91,99,86,95,93,83,25,90,84])).
% 1.15/1.20 cnf(693,plain,
% 1.15/1.20 (E(x6931,f17(x6931,x6931))),
% 1.15/1.20 inference(rename_variables,[],[105])).
% 1.15/1.20 cnf(694,plain,
% 1.15/1.20 (~P2(f17(a9,a9),f13(f18(f16(x6941))))),
% 1.15/1.20 inference(scs_inference,[],[106,66,46,60,39,38,105,687,48,58,408,595,447,450,435,645,622,647,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29])).
% 1.15/1.20 cnf(695,plain,
% 1.15/1.20 (E(f17(x6951,x6951),x6951)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(700,plain,
% 1.15/1.20 (E(f17(x7001,x7001),x7001)),
% 1.15/1.20 inference(rename_variables,[],[58])).
% 1.15/1.20 cnf(701,plain,
% 1.15/1.20 (~E(f11(f18(f17(a14,a14))),f17(a9,a9))),
% 1.15/1.20 inference(scs_inference,[],[110,67,106,66,46,60,39,38,105,687,48,58,695,408,595,447,450,435,641,645,572,622,647,587,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27])).
% 1.15/1.20 cnf(703,plain,
% 1.15/1.21 (E(f17(f17(x7031,x7032),f17(x7031,x7032)),f17(x7032,x7031))),
% 1.15/1.21 inference(scs_inference,[],[110,67,106,66,46,60,39,38,62,105,687,48,58,695,700,408,595,447,450,435,641,645,572,622,647,587,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3])).
% 1.15/1.21 cnf(704,plain,
% 1.15/1.21 (E(f17(x7041,x7041),x7041)),
% 1.15/1.21 inference(rename_variables,[],[58])).
% 1.15/1.21 cnf(707,plain,
% 1.15/1.21 (P6(f17(f16(x7071),f16(x7071)),f17(f18(x7071),f18(x7071)))),
% 1.15/1.21 inference(scs_inference,[],[110,67,106,66,46,57,60,39,38,62,105,687,693,48,58,695,700,408,595,625,447,450,435,641,645,572,622,647,587,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3,28,24])).
% 1.15/1.21 cnf(708,plain,
% 1.15/1.21 (E(x7081,f17(x7081,x7081))),
% 1.15/1.21 inference(rename_variables,[],[105])).
% 1.15/1.21 cnf(721,plain,
% 1.15/1.21 (P2(f13(f22(x7211,x7212)),f18(f22(x7211,x7212)))),
% 1.15/1.21 inference(scs_inference,[],[110,67,106,66,47,54,46,57,60,39,38,62,105,687,693,48,58,695,700,408,595,625,447,450,435,641,212,645,572,622,647,587,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3,28,24,76,72,74,82,75,71,80])).
% 1.15/1.21 cnf(727,plain,
% 1.15/1.21 (~P1(f21(a6))),
% 1.15/1.21 inference(scs_inference,[],[110,67,106,66,47,54,46,57,60,39,38,62,105,687,693,48,58,695,700,408,595,625,447,450,435,641,212,645,572,622,647,587,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3,28,24,76,72,74,82,75,71,80,16,12,9,5,79])).
% 1.15/1.21 cnf(743,plain,
% 1.15/1.21 (P5(f16(x7431))),
% 1.15/1.21 inference(scs_inference,[],[110,67,106,66,47,54,46,57,60,39,38,62,105,687,693,708,48,58,695,700,44,408,595,625,447,450,435,641,212,645,572,622,647,587,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3,28,24,76,72,74,82,75,71,80,16,12,9,5,79,19,18,15,14,7,20,17,10,8,6,4,104,77])).
% 1.15/1.21 cnf(746,plain,
% 1.15/1.21 (~P6(x7461,f21(a3))),
% 1.15/1.21 inference(scs_inference,[],[110,67,106,66,47,54,45,46,57,60,39,38,62,105,687,693,708,48,58,695,700,704,44,408,595,625,447,450,435,641,212,645,572,604,622,647,587,441,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3,28,24,76,72,74,82,75,71,80,16,12,9,5,79,19,18,15,14,7,20,17,10,8,6,4,104,77,101])).
% 1.15/1.21 cnf(747,plain,
% 1.15/1.21 (E(f17(x7471,x7471),x7471)),
% 1.15/1.21 inference(rename_variables,[],[58])).
% 1.15/1.21 cnf(755,plain,
% 1.15/1.21 (E(f17(a1,a1),f2(a3,x7551))),
% 1.15/1.21 inference(scs_inference,[],[34,110,67,106,66,47,54,45,46,57,60,678,39,38,62,105,687,693,708,48,58,695,700,704,747,44,408,595,625,447,450,435,641,212,645,572,604,622,647,587,441,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3,28,24,76,72,74,82,75,71,80,16,12,9,5,79,19,18,15,14,7,20,17,10,8,6,4,104,77,101,81,94,13,92])).
% 1.15/1.21 cnf(758,plain,
% 1.15/1.21 (P6(f17(a8,a8),f21(f20(a6,f21(a6))))),
% 1.15/1.21 inference(scs_inference,[],[34,110,67,106,66,47,54,45,46,57,60,678,39,38,62,105,687,693,708,48,58,695,700,704,747,44,408,595,625,447,450,435,641,212,645,572,604,622,647,587,441,475,41,50,171,91,99,86,95,93,83,25,90,84,22,29,30,2,21,27,3,28,24,76,72,74,82,75,71,80,16,12,9,5,79,19,18,15,14,7,20,17,10,8,6,4,104,77,101,81,94,13,92,98])).
% 1.15/1.21 cnf(773,plain,
% 1.15/1.21 (~P2(f17(a9,a9),f18(f17(a14,a14)))),
% 1.15/1.21 inference(scs_inference,[],[37,727,641,74,79,91])).
% 1.15/1.21 cnf(775,plain,
% 1.15/1.21 (~P6(x7751,f21(a14))),
% 1.15/1.21 inference(scs_inference,[],[46,37,39,58,727,641,74,79,91,101])).
% 1.15/1.21 cnf(776,plain,
% 1.15/1.21 (E(f17(x7761,x7761),x7761)),
% 1.15/1.21 inference(rename_variables,[],[58])).
% 1.15/1.21 cnf(787,plain,
% 1.15/1.21 (E(f17(x7871,x7871),x7871)),
% 1.15/1.21 inference(rename_variables,[],[58])).
% 1.15/1.21 cnf(790,plain,
% 1.15/1.21 (~P6(x7901,f21(a3))),
% 1.15/1.21 inference(rename_variables,[],[746])).
% 1.15/1.21 cnf(793,plain,
% 1.15/1.21 (E(f17(x7931,a1),f2(a3,x7932))),
% 1.15/1.21 inference(scs_inference,[],[34,46,37,45,59,39,61,56,58,776,707,758,680,746,790,727,641,290,441,74,79,91,101,81,94,13,95,93,83,92])).
% 1.15/1.21 cnf(795,plain,
% 1.15/1.21 (P6(f16(x7951),f17(f18(x7951),f18(x7951)))),
% 1.15/1.21 inference(scs_inference,[],[34,46,37,45,59,39,61,56,58,776,787,707,758,680,746,790,727,641,290,441,74,79,91,101,81,94,13,95,93,83,92,23])).
% 1.15/1.21 cnf(798,plain,
% 1.15/1.21 (~P6(f18(f22(x7981,x7982)),f17(f22(x7982,x7981),f22(x7982,x7981)))),
% 1.15/1.21 inference(scs_inference,[],[34,46,37,45,59,39,61,56,58,776,787,707,683,758,755,680,746,790,727,641,290,441,172,74,79,91,101,81,94,13,95,93,83,92,23,25,90])).
% 1.15/1.21 cnf(803,plain,
% 1.15/1.21 (E(f17(x8031,a1),a1)),
% 1.15/1.21 inference(rename_variables,[],[56])).
% 1.15/1.21 cnf(814,plain,
% 1.15/1.21 (~E(f17(f18(x8141),f18(x8141)),a1)),
% 1.15/1.21 inference(scs_inference,[],[34,110,108,46,37,45,59,39,61,56,803,105,58,776,787,707,683,690,362,701,758,755,680,746,790,727,369,525,595,641,290,441,172,74,79,91,101,81,94,13,95,93,83,92,23,25,90,84,29,30,27,2,21,3,28,24])).
% 1.15/1.21 cnf(851,plain,
% 1.15/1.21 (P2(f11(x8511),x8511)),
% 1.15/1.21 inference(rename_variables,[],[59])).
% 1.15/1.21 cnf(854,plain,
% 1.15/1.21 (E(f11(x8541),f11(f17(x8541,x8541)))),
% 1.15/1.21 inference(rename_variables,[],[458])).
% 1.15/1.21 cnf(864,plain,
% 1.15/1.21 (E(x8641,f17(x8641,x8641))),
% 1.15/1.21 inference(rename_variables,[],[105])).
% 1.15/1.21 cnf(871,plain,
% 1.15/1.21 (E(x8711,f17(x8711,x8711))),
% 1.15/1.21 inference(rename_variables,[],[105])).
% 1.15/1.21 cnf(874,plain,
% 1.15/1.21 ($false),
% 1.15/1.21 inference(scs_inference,[],[35,113,64,36,57,46,60,59,851,39,105,864,871,58,56,703,795,798,252,596,721,743,694,391,773,775,793,629,814,458,854,575,310,690,114,534,758,491,34,41,50,74,79,31,91,26,100,70,81,95,94,93,92,83,23,90,84,29,27,30,21,2,28,3,24,73]),
% 1.15/1.21 ['proof']).
% 1.15/1.21 % SZS output end Proof
% 1.15/1.21 % Total time :0.550000s
%------------------------------------------------------------------------------