TSTP Solution File: SEU154+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU154+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:17:56 EDT 2023
% Result : Theorem 0.53s 1.25s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU154+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 20:28:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.53/1.23 %-------------------------------------------
% 0.53/1.23 % File :CSE---1.6
% 0.53/1.23 % Problem :theBenchmark
% 0.53/1.23 % Transform :cnf
% 0.53/1.23 % Format :tptp:raw
% 0.53/1.23 % Command :java -jar mcs_scs.jar %d %s
% 0.53/1.23
% 0.53/1.23 % Result :Theorem 0.610000s
% 0.53/1.23 % Output :CNFRefutation 0.610000s
% 0.53/1.23 %-------------------------------------------
% 0.53/1.23 %------------------------------------------------------------------------------
% 0.53/1.23 % File : SEU154+2 : TPTP v8.1.2. Released v3.3.0.
% 0.53/1.23 % Domain : Set theory
% 0.53/1.23 % Problem : MPTP chainy problem l28_zfmisc_1
% 0.53/1.23 % Version : [Urb07] axioms : Especial.
% 0.53/1.23 % English :
% 0.53/1.23
% 0.53/1.23 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.53/1.23 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.53/1.23 % Source : [Urb07]
% 0.53/1.23 % Names : chainy-l28_zfmisc_1 [Urb07]
% 0.53/1.23
% 0.53/1.23 % Status : Theorem
% 0.53/1.23 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.07 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.24 v6.1.0, 0.37 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.39 v5.3.0, 0.41 v5.2.0, 0.20 v5.1.0, 0.24 v5.0.0, 0.33 v4.1.0, 0.26 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.37 v3.4.0, 0.42 v3.3.0
% 0.53/1.23 % Syntax : Number of formulae : 77 ( 31 unt; 0 def)
% 0.53/1.23 % Number of atoms : 151 ( 49 equ)
% 0.53/1.23 % Maximal formula atoms : 6 ( 1 avg)
% 0.53/1.23 % Number of connectives : 103 ( 29 ~; 4 |; 23 &)
% 0.53/1.23 % ( 23 <=>; 24 =>; 0 <=; 0 <~>)
% 0.53/1.23 % Maximal formula depth : 9 ( 4 avg)
% 0.53/1.23 % Maximal term depth : 3 ( 1 avg)
% 0.53/1.23 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 0.53/1.23 % Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% 0.53/1.23 % Number of variables : 152 ( 148 !; 4 ?)
% 0.53/1.23 % SPC : FOF_THM_RFO_SEQ
% 0.53/1.23
% 0.53/1.23 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.53/1.23 % library, www.mizar.org
% 0.53/1.23 %------------------------------------------------------------------------------
% 0.53/1.23 fof(antisymmetry_r2_hidden,axiom,
% 0.53/1.23 ! [A,B] :
% 0.53/1.23 ( in(A,B)
% 0.53/1.23 => ~ in(B,A) ) ).
% 0.53/1.23
% 0.53/1.23 fof(antisymmetry_r2_xboole_0,axiom,
% 0.53/1.23 ! [A,B] :
% 0.53/1.23 ( proper_subset(A,B)
% 0.53/1.23 => ~ proper_subset(B,A) ) ).
% 0.53/1.24
% 0.53/1.24 fof(commutativity_k2_tarski,axiom,
% 0.53/1.24 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 0.53/1.24
% 0.53/1.24 fof(commutativity_k2_xboole_0,axiom,
% 0.53/1.24 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 0.53/1.24
% 0.53/1.24 fof(commutativity_k3_xboole_0,axiom,
% 0.53/1.24 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.53/1.24
% 0.53/1.24 fof(d10_xboole_0,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( A = B
% 0.53/1.24 <=> ( subset(A,B)
% 0.53/1.24 & subset(B,A) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d1_tarski,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( B = singleton(A)
% 0.53/1.24 <=> ! [C] :
% 0.53/1.24 ( in(C,B)
% 0.53/1.24 <=> C = A ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d1_xboole_0,axiom,
% 0.53/1.24 ! [A] :
% 0.53/1.24 ( A = empty_set
% 0.53/1.24 <=> ! [B] : ~ in(B,A) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d1_zfmisc_1,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( B = powerset(A)
% 0.53/1.24 <=> ! [C] :
% 0.53/1.24 ( in(C,B)
% 0.53/1.24 <=> subset(C,A) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d2_tarski,axiom,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( C = unordered_pair(A,B)
% 0.53/1.24 <=> ! [D] :
% 0.53/1.24 ( in(D,C)
% 0.53/1.24 <=> ( D = A
% 0.53/1.24 | D = B ) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d2_xboole_0,axiom,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( C = set_union2(A,B)
% 0.53/1.24 <=> ! [D] :
% 0.53/1.24 ( in(D,C)
% 0.53/1.24 <=> ( in(D,A)
% 0.53/1.24 | in(D,B) ) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d3_tarski,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( subset(A,B)
% 0.53/1.24 <=> ! [C] :
% 0.53/1.24 ( in(C,A)
% 0.53/1.24 => in(C,B) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d3_xboole_0,axiom,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( C = set_intersection2(A,B)
% 0.53/1.24 <=> ! [D] :
% 0.53/1.24 ( in(D,C)
% 0.53/1.24 <=> ( in(D,A)
% 0.53/1.24 & in(D,B) ) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d4_xboole_0,axiom,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( C = set_difference(A,B)
% 0.53/1.24 <=> ! [D] :
% 0.53/1.24 ( in(D,C)
% 0.53/1.24 <=> ( in(D,A)
% 0.53/1.24 & ~ in(D,B) ) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(d7_xboole_0,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( disjoint(A,B)
% 0.53/1.24 <=> set_intersection2(A,B) = empty_set ) ).
% 0.53/1.24
% 0.53/1.24 fof(d8_xboole_0,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( proper_subset(A,B)
% 0.53/1.24 <=> ( subset(A,B)
% 0.53/1.24 & A != B ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(dt_k1_tarski,axiom,
% 0.53/1.24 $true ).
% 0.53/1.24
% 0.53/1.24 fof(dt_k1_xboole_0,axiom,
% 0.53/1.24 $true ).
% 0.53/1.24
% 0.53/1.24 fof(dt_k1_zfmisc_1,axiom,
% 0.53/1.24 $true ).
% 0.53/1.24
% 0.53/1.24 fof(dt_k2_tarski,axiom,
% 0.53/1.24 $true ).
% 0.53/1.24
% 0.53/1.24 fof(dt_k2_xboole_0,axiom,
% 0.53/1.24 $true ).
% 0.53/1.24
% 0.53/1.24 fof(dt_k3_xboole_0,axiom,
% 0.53/1.24 $true ).
% 0.53/1.24
% 0.53/1.24 fof(dt_k4_xboole_0,axiom,
% 0.53/1.24 $true ).
% 0.53/1.24
% 0.53/1.24 fof(fc1_xboole_0,axiom,
% 0.53/1.24 empty(empty_set) ).
% 0.53/1.24
% 0.53/1.24 fof(fc2_xboole_0,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( ~ empty(A)
% 0.53/1.24 => ~ empty(set_union2(A,B)) ) ).
% 0.53/1.24
% 0.53/1.24 fof(fc3_xboole_0,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( ~ empty(A)
% 0.53/1.24 => ~ empty(set_union2(B,A)) ) ).
% 0.53/1.24
% 0.53/1.24 fof(idempotence_k2_xboole_0,axiom,
% 0.53/1.24 ! [A,B] : set_union2(A,A) = A ).
% 0.53/1.24
% 0.53/1.24 fof(idempotence_k3_xboole_0,axiom,
% 0.53/1.24 ! [A,B] : set_intersection2(A,A) = A ).
% 0.53/1.24
% 0.53/1.24 fof(irreflexivity_r2_xboole_0,axiom,
% 0.53/1.24 ! [A,B] : ~ proper_subset(A,A) ).
% 0.53/1.24
% 0.53/1.24 fof(l1_zfmisc_1,lemma,
% 0.53/1.24 ! [A] : singleton(A) != empty_set ).
% 0.53/1.24
% 0.53/1.24 fof(l23_zfmisc_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( in(A,B)
% 0.53/1.24 => set_union2(singleton(A),B) = B ) ).
% 0.53/1.24
% 0.53/1.24 fof(l25_zfmisc_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ~ ( disjoint(singleton(A),B)
% 0.53/1.24 & in(A,B) ) ).
% 0.53/1.24
% 0.53/1.24 fof(l28_zfmisc_1,conjecture,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( ~ in(A,B)
% 0.53/1.24 => disjoint(singleton(A),B) ) ).
% 0.53/1.24
% 0.53/1.24 fof(l2_zfmisc_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( subset(singleton(A),B)
% 0.53/1.24 <=> in(A,B) ) ).
% 0.53/1.24
% 0.53/1.24 fof(l32_xboole_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( set_difference(A,B) = empty_set
% 0.53/1.24 <=> subset(A,B) ) ).
% 0.53/1.24
% 0.53/1.24 fof(l3_zfmisc_1,lemma,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( subset(A,B)
% 0.53/1.24 => ( in(C,A)
% 0.53/1.24 | subset(A,set_difference(B,singleton(C))) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(l4_zfmisc_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( subset(A,singleton(B))
% 0.53/1.24 <=> ( A = empty_set
% 0.53/1.24 | A = singleton(B) ) ) ).
% 0.53/1.24
% 0.53/1.24 fof(rc1_xboole_0,axiom,
% 0.53/1.24 ? [A] : empty(A) ).
% 0.53/1.24
% 0.53/1.24 fof(rc2_xboole_0,axiom,
% 0.53/1.24 ? [A] : ~ empty(A) ).
% 0.53/1.24
% 0.53/1.24 fof(reflexivity_r1_tarski,axiom,
% 0.53/1.24 ! [A,B] : subset(A,A) ).
% 0.53/1.24
% 0.53/1.24 fof(symmetry_r1_xboole_0,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( disjoint(A,B)
% 0.53/1.24 => disjoint(B,A) ) ).
% 0.53/1.24
% 0.53/1.24 fof(t10_zfmisc_1,lemma,
% 0.53/1.24 ! [A,B,C,D] :
% 0.53/1.24 ~ ( unordered_pair(A,B) = unordered_pair(C,D)
% 0.53/1.24 & A != C
% 0.53/1.24 & A != D ) ).
% 0.53/1.24
% 0.53/1.24 fof(t12_xboole_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( subset(A,B)
% 0.53/1.24 => set_union2(A,B) = B ) ).
% 0.53/1.24
% 0.53/1.24 fof(t17_xboole_1,lemma,
% 0.53/1.24 ! [A,B] : subset(set_intersection2(A,B),A) ).
% 0.53/1.24
% 0.53/1.24 fof(t19_xboole_1,lemma,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( ( subset(A,B)
% 0.53/1.24 & subset(A,C) )
% 0.53/1.24 => subset(A,set_intersection2(B,C)) ) ).
% 0.53/1.24
% 0.53/1.24 fof(t1_boole,axiom,
% 0.53/1.24 ! [A] : set_union2(A,empty_set) = A ).
% 0.53/1.24
% 0.53/1.24 fof(t1_xboole_1,lemma,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( ( subset(A,B)
% 0.53/1.24 & subset(B,C) )
% 0.53/1.24 => subset(A,C) ) ).
% 0.53/1.24
% 0.53/1.24 fof(t1_zfmisc_1,lemma,
% 0.53/1.24 powerset(empty_set) = singleton(empty_set) ).
% 0.53/1.24
% 0.53/1.24 fof(t26_xboole_1,lemma,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( subset(A,B)
% 0.53/1.24 => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 0.53/1.24
% 0.53/1.24 fof(t28_xboole_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( subset(A,B)
% 0.53/1.24 => set_intersection2(A,B) = A ) ).
% 0.53/1.24
% 0.53/1.24 fof(t2_boole,axiom,
% 0.53/1.24 ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 0.53/1.24
% 0.53/1.24 fof(t2_tarski,axiom,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( ! [C] :
% 0.53/1.24 ( in(C,A)
% 0.53/1.24 <=> in(C,B) )
% 0.53/1.24 => A = B ) ).
% 0.53/1.24
% 0.53/1.24 fof(t2_xboole_1,lemma,
% 0.53/1.24 ! [A] : subset(empty_set,A) ).
% 0.53/1.24
% 0.53/1.24 fof(t33_xboole_1,lemma,
% 0.53/1.24 ! [A,B,C] :
% 0.53/1.24 ( subset(A,B)
% 0.53/1.24 => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 0.53/1.24
% 0.53/1.24 fof(t36_xboole_1,lemma,
% 0.53/1.24 ! [A,B] : subset(set_difference(A,B),A) ).
% 0.53/1.24
% 0.53/1.24 fof(t37_xboole_1,lemma,
% 0.53/1.24 ! [A,B] :
% 0.53/1.24 ( set_difference(A,B) = empty_set
% 0.53/1.24 <=> subset(A,B) ) ).
% 0.53/1.24
% 0.53/1.24 fof(t39_xboole_1,lemma,
% 0.53/1.24 ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
% 0.53/1.24
% 0.53/1.24 fof(t3_boole,axiom,
% 0.53/1.25 ! [A] : set_difference(A,empty_set) = A ).
% 0.53/1.25
% 0.53/1.25 fof(t3_xboole_0,lemma,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ( ~ ( ~ disjoint(A,B)
% 0.53/1.25 & ! [C] :
% 0.53/1.25 ~ ( in(C,A)
% 0.53/1.25 & in(C,B) ) )
% 0.53/1.25 & ~ ( ? [C] :
% 0.53/1.25 ( in(C,A)
% 0.53/1.25 & in(C,B) )
% 0.53/1.25 & disjoint(A,B) ) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t3_xboole_1,lemma,
% 0.53/1.25 ! [A] :
% 0.53/1.25 ( subset(A,empty_set)
% 0.53/1.25 => A = empty_set ) ).
% 0.53/1.25
% 0.53/1.25 fof(t40_xboole_1,lemma,
% 0.53/1.25 ! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
% 0.53/1.25
% 0.53/1.25 fof(t45_xboole_1,lemma,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ( subset(A,B)
% 0.53/1.25 => B = set_union2(A,set_difference(B,A)) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t48_xboole_1,lemma,
% 0.53/1.25 ! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
% 0.53/1.25
% 0.53/1.25 fof(t4_boole,axiom,
% 0.53/1.25 ! [A] : set_difference(empty_set,A) = empty_set ).
% 0.53/1.25
% 0.53/1.25 fof(t4_xboole_0,lemma,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ( ~ ( ~ disjoint(A,B)
% 0.53/1.25 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 0.53/1.25 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 0.53/1.25 & disjoint(A,B) ) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t60_xboole_1,lemma,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ~ ( subset(A,B)
% 0.53/1.25 & proper_subset(B,A) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t63_xboole_1,lemma,
% 0.53/1.25 ! [A,B,C] :
% 0.53/1.25 ( ( subset(A,B)
% 0.53/1.25 & disjoint(B,C) )
% 0.53/1.25 => disjoint(A,C) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t69_enumset1,lemma,
% 0.53/1.25 ! [A] : unordered_pair(A,A) = singleton(A) ).
% 0.53/1.25
% 0.53/1.25 fof(t6_boole,axiom,
% 0.53/1.25 ! [A] :
% 0.53/1.25 ( empty(A)
% 0.53/1.25 => A = empty_set ) ).
% 0.53/1.25
% 0.53/1.25 fof(t6_zfmisc_1,lemma,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ( subset(singleton(A),singleton(B))
% 0.53/1.25 => A = B ) ).
% 0.53/1.25
% 0.53/1.25 fof(t7_boole,axiom,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ~ ( in(A,B)
% 0.53/1.25 & empty(B) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t7_xboole_1,lemma,
% 0.53/1.25 ! [A,B] : subset(A,set_union2(A,B)) ).
% 0.53/1.25
% 0.53/1.25 fof(t83_xboole_1,lemma,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ( disjoint(A,B)
% 0.53/1.25 <=> set_difference(A,B) = A ) ).
% 0.53/1.25
% 0.53/1.25 fof(t8_boole,axiom,
% 0.53/1.25 ! [A,B] :
% 0.53/1.25 ~ ( empty(A)
% 0.53/1.25 & A != B
% 0.53/1.25 & empty(B) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t8_xboole_1,lemma,
% 0.53/1.25 ! [A,B,C] :
% 0.53/1.25 ( ( subset(A,B)
% 0.53/1.25 & subset(C,B) )
% 0.53/1.25 => subset(set_union2(A,C),B) ) ).
% 0.53/1.25
% 0.53/1.25 fof(t8_zfmisc_1,lemma,
% 0.53/1.25 ! [A,B,C] :
% 0.53/1.25 ( singleton(A) = unordered_pair(B,C)
% 0.53/1.25 => A = B ) ).
% 0.53/1.25
% 0.53/1.25 fof(t9_zfmisc_1,lemma,
% 0.53/1.25 ! [A,B,C] :
% 0.53/1.25 ( singleton(A) = unordered_pair(B,C)
% 0.53/1.25 => B = C ) ).
% 0.53/1.25
% 0.53/1.25 %------------------------------------------------------------------------------
% 0.53/1.25 %-------------------------------------------
% 0.53/1.25 % Proof found
% 0.53/1.25 % SZS status Theorem for theBenchmark
% 0.53/1.25 % SZS output start Proof
% 0.53/1.25 %ClaNum:157(EqnAxiom:44)
% 0.53/1.25 %VarNum:618(SingletonVarNum:238)
% 0.53/1.25 %MaxLitNum:4
% 0.53/1.25 %MaxfuncDepth:2
% 0.53/1.25 %SharedTerms:14
% 0.53/1.25 %goalClause: 65 68
% 0.53/1.25 %singleGoalClaCount:2
% 0.53/1.25 [45]P1(a1)
% 0.53/1.25 [46]P1(a2)
% 0.53/1.25 [64]~P1(a6)
% 0.53/1.25 [65]~P4(a7,a3)
% 0.53/1.25 [51]E(f20(a1,a1),f5(a1))
% 0.53/1.25 [68]~P2(f20(a7,a7),a3)
% 0.53/1.25 [48]P3(a1,x481)
% 0.53/1.25 [52]P3(x521,x521)
% 0.53/1.25 [67]~P5(x671,x671)
% 0.53/1.25 [47]E(f4(a1,x471),a1)
% 0.53/1.25 [49]E(f19(x491,a1),x491)
% 0.53/1.25 [50]E(f4(x501,a1),x501)
% 0.53/1.25 [53]E(f19(x531,x531),x531)
% 0.53/1.25 [66]~E(f20(x661,x661),a1)
% 0.53/1.25 [56]E(f4(x561,f4(x561,a1)),a1)
% 0.53/1.25 [59]E(f4(x591,f4(x591,x591)),x591)
% 0.53/1.25 [54]E(f20(x541,x542),f20(x542,x541))
% 0.53/1.25 [55]E(f19(x551,x552),f19(x552,x551))
% 0.53/1.25 [57]P3(x571,f19(x571,x572))
% 0.53/1.25 [58]P3(f4(x581,x582),x581)
% 0.53/1.25 [60]E(f19(x601,f4(x602,x601)),f19(x601,x602))
% 0.53/1.25 [61]E(f4(f19(x611,x612),x612),f4(x611,x612))
% 0.53/1.25 [62]E(f4(x621,f4(x621,x622)),f4(x622,f4(x622,x621)))
% 0.53/1.25 [69]~P1(x691)+E(x691,a1)
% 0.53/1.25 [73]~P3(x731,a1)+E(x731,a1)
% 0.53/1.25 [74]P4(f8(x741),x741)+E(x741,a1)
% 0.53/1.25 [72]~E(x721,x722)+P3(x721,x722)
% 0.53/1.25 [75]~P4(x752,x751)+~E(x751,a1)
% 0.53/1.25 [76]~P5(x761,x762)+~E(x761,x762)
% 0.53/1.25 [77]~P1(x771)+~P4(x772,x771)
% 0.53/1.25 [82]~P5(x821,x822)+P3(x821,x822)
% 0.53/1.25 [83]~P2(x832,x831)+P2(x831,x832)
% 0.53/1.25 [92]~P4(x922,x921)+~P4(x921,x922)
% 0.53/1.25 [93]~P5(x932,x931)+~P5(x931,x932)
% 0.53/1.25 [94]~P3(x942,x941)+~P5(x941,x942)
% 0.53/1.25 [79]~P3(x791,x792)+E(f4(x791,x792),a1)
% 0.53/1.25 [81]P3(x811,x812)+~E(f4(x811,x812),a1)
% 0.53/1.25 [84]~P3(x841,x842)+E(f19(x841,x842),x842)
% 0.53/1.25 [85]~P2(x851,x852)+E(f4(x851,x852),x851)
% 0.53/1.25 [86]P2(x861,x862)+~E(f4(x861,x862),x861)
% 0.53/1.25 [91]~E(x911,a1)+P3(x911,f20(x912,x912))
% 0.53/1.25 [103]P1(x1031)+~P1(f19(x1032,x1031))
% 0.53/1.25 [104]P1(x1041)+~P1(f19(x1041,x1042))
% 0.53/1.25 [105]P3(x1051,x1052)+P4(f13(x1051,x1052),x1051)
% 0.53/1.25 [106]P2(x1061,x1062)+P4(f9(x1061,x1062),x1062)
% 0.53/1.25 [107]P2(x1071,x1072)+P4(f9(x1071,x1072),x1071)
% 0.53/1.25 [115]~P4(x1151,x1152)+P3(f20(x1151,x1151),x1152)
% 0.53/1.25 [126]P4(x1261,x1262)+~P3(f20(x1261,x1261),x1262)
% 0.53/1.25 [127]P3(x1271,x1272)+~P4(f13(x1271,x1272),x1272)
% 0.53/1.25 [132]~P4(x1321,x1322)+~P2(f20(x1321,x1321),x1322)
% 0.53/1.25 [137]E(x1371,x1372)+~P3(f20(x1371,x1371),f20(x1372,x1372))
% 0.53/1.25 [114]~P2(x1141,x1142)+E(f4(x1141,f4(x1141,x1142)),a1)
% 0.53/1.25 [116]~P3(x1161,x1162)+E(f19(x1161,f4(x1162,x1161)),x1162)
% 0.53/1.25 [117]~P3(x1171,x1172)+E(f4(x1171,f4(x1171,x1172)),x1171)
% 0.53/1.25 [118]~P4(x1181,x1182)+E(f19(f20(x1181,x1181),x1182),x1182)
% 0.53/1.25 [125]P2(x1251,x1252)+~E(f4(x1251,f4(x1251,x1252)),a1)
% 0.53/1.25 [142]P2(x1421,x1422)+P4(f12(x1421,x1422),f4(x1421,f4(x1421,x1422)))
% 0.53/1.25 [97]E(x971,x972)+~E(f20(x973,x973),f20(x971,x972))
% 0.53/1.25 [98]E(x981,x982)+~E(f20(x981,x981),f20(x982,x983))
% 0.53/1.25 [133]~P3(x1331,x1333)+P3(f4(x1331,x1332),f4(x1333,x1332))
% 0.53/1.25 [144]~P2(x1441,x1442)+~P4(x1443,f4(x1441,f4(x1441,x1442)))
% 0.53/1.25 [145]~P3(x1451,x1453)+P3(f4(x1451,f4(x1451,x1452)),f4(x1453,f4(x1453,x1452)))
% 0.53/1.25 [70]~P1(x702)+~P1(x701)+E(x701,x702)
% 0.53/1.25 [87]P5(x871,x872)+~P3(x871,x872)+E(x871,x872)
% 0.53/1.25 [99]~P3(x992,x991)+~P3(x991,x992)+E(x991,x992)
% 0.53/1.25 [122]E(f11(x1222,x1221),x1222)+P4(f11(x1222,x1221),x1221)+E(x1221,f20(x1222,x1222))
% 0.53/1.25 [128]E(x1281,f20(x1282,x1282))+~P3(x1281,f20(x1282,x1282))+E(x1281,a1)
% 0.53/1.25 [129]E(x1291,x1292)+P4(f10(x1291,x1292),x1292)+P4(f10(x1291,x1292),x1291)
% 0.53/1.25 [131]P4(f14(x1312,x1311),x1311)+P3(f14(x1312,x1311),x1312)+E(x1311,f5(x1312))
% 0.53/1.25 [136]~E(f11(x1362,x1361),x1362)+~P4(f11(x1362,x1361),x1361)+E(x1361,f20(x1362,x1362))
% 0.53/1.25 [139]E(x1391,x1392)+~P4(f10(x1391,x1392),x1392)+~P4(f10(x1391,x1392),x1391)
% 0.53/1.25 [141]~P4(f14(x1412,x1411),x1411)+~P3(f14(x1412,x1411),x1412)+E(x1411,f5(x1412))
% 0.53/1.25 [108]~P3(x1083,x1082)+P4(x1081,x1082)+~P4(x1081,x1083)
% 0.53/1.25 [109]~P3(x1091,x1093)+P3(x1091,x1092)+~P3(x1093,x1092)
% 0.53/1.25 [110]~P2(x1103,x1102)+P2(x1101,x1102)+~P3(x1101,x1103)
% 0.53/1.25 [120]~P2(x1203,x1202)+~P4(x1201,x1202)+~P4(x1201,x1203)
% 0.53/1.25 [95]~P3(x951,x953)+P4(x951,x952)+~E(x952,f5(x953))
% 0.53/1.25 [96]~P4(x961,x963)+P3(x961,x962)+~E(x963,f5(x962))
% 0.53/1.25 [101]~P4(x1011,x1013)+E(x1011,x1012)+~E(x1013,f20(x1012,x1012))
% 0.53/1.25 [130]~P3(x1302,x1303)+~P3(x1301,x1303)+P3(f19(x1301,x1302),x1303)
% 0.53/1.25 [147]P4(f17(x1472,x1473,x1471),x1471)+P4(f17(x1472,x1473,x1471),x1472)+E(x1471,f4(x1472,x1473))
% 0.53/1.25 [150]~E(f15(x1502,x1503,x1501),x1503)+~P4(f15(x1502,x1503,x1501),x1501)+E(x1501,f20(x1502,x1503))
% 0.53/1.25 [151]~E(f15(x1512,x1513,x1511),x1512)+~P4(f15(x1512,x1513,x1511),x1511)+E(x1511,f20(x1512,x1513))
% 0.53/1.25 [152]P4(f17(x1522,x1523,x1521),x1521)+~P4(f17(x1522,x1523,x1521),x1523)+E(x1521,f4(x1522,x1523))
% 0.53/1.25 [154]~P4(f16(x1542,x1543,x1541),x1541)+~P4(f16(x1542,x1543,x1541),x1543)+E(x1541,f19(x1542,x1543))
% 0.53/1.25 [155]~P4(f16(x1552,x1553,x1551),x1551)+~P4(f16(x1552,x1553,x1551),x1552)+E(x1551,f19(x1552,x1553))
% 0.53/1.25 [140]~P3(x1402,x1403)+P4(x1401,x1402)+P3(x1402,f4(x1403,f20(x1401,x1401)))
% 0.53/1.25 [143]~P3(x1431,x1433)+~P3(x1431,x1432)+P3(x1431,f4(x1432,f4(x1432,x1433)))
% 0.53/1.25 [148]P4(f18(x1482,x1483,x1481),x1481)+P4(f18(x1482,x1483,x1481),x1483)+E(x1481,f4(x1482,f4(x1482,x1483)))
% 0.53/1.25 [149]P4(f18(x1492,x1493,x1491),x1491)+P4(f18(x1492,x1493,x1491),x1492)+E(x1491,f4(x1492,f4(x1492,x1493)))
% 0.53/1.25 [88]P4(x881,x882)+~E(x881,x883)+~E(x882,f20(x884,x883))
% 0.53/1.25 [89]P4(x891,x892)+~E(x891,x893)+~E(x892,f20(x893,x894))
% 0.53/1.25 [100]E(x1001,x1002)+E(x1001,x1003)+~E(f20(x1001,x1004),f20(x1003,x1002))
% 0.53/1.25 [111]~P4(x1111,x1114)+P4(x1111,x1112)+~E(x1112,f19(x1113,x1114))
% 0.53/1.25 [112]~P4(x1121,x1123)+P4(x1121,x1122)+~E(x1122,f19(x1123,x1124))
% 0.53/1.25 [113]~P4(x1131,x1133)+P4(x1131,x1132)+~E(x1133,f4(x1132,x1134))
% 0.53/1.25 [121]~P4(x1214,x1213)+~P4(x1214,x1211)+~E(x1211,f4(x1212,x1213))
% 0.53/1.25 [134]~P4(x1341,x1343)+P4(x1341,x1342)+~E(x1343,f4(x1344,f4(x1344,x1342)))
% 0.53/1.25 [146]E(f15(x1462,x1463,x1461),x1463)+E(f15(x1462,x1463,x1461),x1462)+P4(f15(x1462,x1463,x1461),x1461)+E(x1461,f20(x1462,x1463))
% 0.53/1.25 [153]P4(f16(x1532,x1533,x1531),x1531)+P4(f16(x1532,x1533,x1531),x1533)+P4(f16(x1532,x1533,x1531),x1532)+E(x1531,f19(x1532,x1533))
% 0.53/1.25 [156]P4(f17(x1562,x1563,x1561),x1563)+~P4(f17(x1562,x1563,x1561),x1561)+~P4(f17(x1562,x1563,x1561),x1562)+E(x1561,f4(x1562,x1563))
% 0.53/1.25 [157]~P4(f18(x1572,x1573,x1571),x1571)+~P4(f18(x1572,x1573,x1571),x1573)+~P4(f18(x1572,x1573,x1571),x1572)+E(x1571,f4(x1572,f4(x1572,x1573)))
% 0.53/1.25 [102]~P4(x1021,x1024)+E(x1021,x1022)+E(x1021,x1023)+~E(x1024,f20(x1023,x1022))
% 0.53/1.25 [123]~P4(x1231,x1234)+P4(x1231,x1232)+P4(x1231,x1233)+~E(x1232,f4(x1234,x1233))
% 0.53/1.25 [124]~P4(x1241,x1244)+P4(x1241,x1242)+P4(x1241,x1243)+~E(x1244,f19(x1243,x1242))
% 0.53/1.25 [138]~P4(x1381,x1384)+~P4(x1381,x1383)+P4(x1381,x1382)+~E(x1382,f4(x1383,f4(x1383,x1384)))
% 0.53/1.25 %EqnAxiom
% 0.53/1.25 [1]E(x11,x11)
% 0.53/1.25 [2]E(x22,x21)+~E(x21,x22)
% 0.53/1.25 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/1.25 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.53/1.25 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.53/1.25 [6]~E(x61,x62)+E(f19(x61,x63),f19(x62,x63))
% 0.53/1.25 [7]~E(x71,x72)+E(f19(x73,x71),f19(x73,x72))
% 0.53/1.25 [8]~E(x81,x82)+E(f18(x81,x83,x84),f18(x82,x83,x84))
% 0.53/1.25 [9]~E(x91,x92)+E(f18(x93,x91,x94),f18(x93,x92,x94))
% 0.53/1.25 [10]~E(x101,x102)+E(f18(x103,x104,x101),f18(x103,x104,x102))
% 0.53/1.25 [11]~E(x111,x112)+E(f20(x111,x113),f20(x112,x113))
% 0.53/1.25 [12]~E(x121,x122)+E(f20(x123,x121),f20(x123,x122))
% 0.53/1.25 [13]~E(x131,x132)+E(f5(x131),f5(x132))
% 0.53/1.25 [14]~E(x141,x142)+E(f10(x141,x143),f10(x142,x143))
% 0.53/1.25 [15]~E(x151,x152)+E(f10(x153,x151),f10(x153,x152))
% 0.53/1.25 [16]~E(x161,x162)+E(f15(x161,x163,x164),f15(x162,x163,x164))
% 0.53/1.25 [17]~E(x171,x172)+E(f15(x173,x171,x174),f15(x173,x172,x174))
% 0.53/1.25 [18]~E(x181,x182)+E(f15(x183,x184,x181),f15(x183,x184,x182))
% 0.53/1.25 [19]~E(x191,x192)+E(f17(x191,x193,x194),f17(x192,x193,x194))
% 0.53/1.25 [20]~E(x201,x202)+E(f17(x203,x201,x204),f17(x203,x202,x204))
% 0.53/1.25 [21]~E(x211,x212)+E(f17(x213,x214,x211),f17(x213,x214,x212))
% 0.53/1.25 [22]~E(x221,x222)+E(f9(x221,x223),f9(x222,x223))
% 0.53/1.25 [23]~E(x231,x232)+E(f9(x233,x231),f9(x233,x232))
% 0.53/1.25 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 0.53/1.25 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 0.53/1.25 [26]~E(x261,x262)+E(f12(x261,x263),f12(x262,x263))
% 0.53/1.25 [27]~E(x271,x272)+E(f12(x273,x271),f12(x273,x272))
% 0.53/1.25 [28]~E(x281,x282)+E(f13(x281,x283),f13(x282,x283))
% 0.53/1.25 [29]~E(x291,x292)+E(f13(x293,x291),f13(x293,x292))
% 0.53/1.25 [30]~E(x301,x302)+E(f11(x301,x303),f11(x302,x303))
% 0.53/1.25 [31]~E(x311,x312)+E(f11(x313,x311),f11(x313,x312))
% 0.53/1.25 [32]~E(x321,x322)+E(f16(x321,x323,x324),f16(x322,x323,x324))
% 0.53/1.25 [33]~E(x331,x332)+E(f16(x333,x331,x334),f16(x333,x332,x334))
% 0.53/1.25 [34]~E(x341,x342)+E(f16(x343,x344,x341),f16(x343,x344,x342))
% 0.53/1.25 [35]~E(x351,x352)+E(f8(x351),f8(x352))
% 0.53/1.25 [36]~P1(x361)+P1(x362)+~E(x361,x362)
% 0.53/1.25 [37]P4(x372,x373)+~E(x371,x372)+~P4(x371,x373)
% 0.53/1.25 [38]P4(x383,x382)+~E(x381,x382)+~P4(x383,x381)
% 0.53/1.25 [39]P3(x392,x393)+~E(x391,x392)+~P3(x391,x393)
% 0.53/1.25 [40]P3(x403,x402)+~E(x401,x402)+~P3(x403,x401)
% 0.53/1.25 [41]P2(x412,x413)+~E(x411,x412)+~P2(x411,x413)
% 0.53/1.25 [42]P2(x423,x422)+~E(x421,x422)+~P2(x423,x421)
% 0.53/1.25 [43]P5(x432,x433)+~E(x431,x432)+~P5(x431,x433)
% 0.53/1.25 [44]P5(x443,x442)+~E(x441,x442)+~P5(x443,x441)
% 0.53/1.25
% 0.53/1.25 %-------------------------------------------
% 0.53/1.25 cnf(158,plain,
% 0.53/1.25 (E(f5(a1),f20(a1,a1))),
% 0.53/1.25 inference(scs_inference,[],[51,2])).
% 0.53/1.25 cnf(159,plain,
% 0.53/1.25 (~P2(a3,f20(a7,a7))),
% 0.53/1.25 inference(scs_inference,[],[68,51,2,83])).
% 0.53/1.25 cnf(161,plain,
% 0.53/1.25 (~P4(x1611,a1)),
% 0.53/1.25 inference(scs_inference,[],[45,68,51,2,83,77])).
% 0.53/1.25 cnf(165,plain,
% 0.53/1.25 (~P4(x1651,f19(a1,a1))),
% 0.53/1.25 inference(scs_inference,[],[45,68,51,53,2,83,77,76,75])).
% 0.53/1.25 cnf(166,plain,
% 0.53/1.25 (E(f19(x1661,x1661),x1661)),
% 0.53/1.25 inference(rename_variables,[],[53])).
% 0.53/1.25 cnf(168,plain,
% 0.53/1.25 (~P3(f20(x1681,x1681),a1)),
% 0.53/1.25 inference(scs_inference,[],[45,68,51,53,66,2,83,77,76,75,73])).
% 0.53/1.25 cnf(170,plain,
% 0.53/1.25 (~P1(f20(x1701,x1701))),
% 0.53/1.25 inference(scs_inference,[],[45,68,51,53,66,2,83,77,76,75,73,69])).
% 0.53/1.25 cnf(172,plain,
% 0.53/1.25 (P4(f8(f20(x1721,x1721)),f20(x1721,x1721))),
% 0.53/1.25 inference(scs_inference,[],[45,68,51,53,66,2,83,77,76,75,73,69,74])).
% 0.53/1.25 cnf(174,plain,
% 0.53/1.25 (P4(x1741,f20(x1741,x1741))),
% 0.53/1.25 inference(scs_inference,[],[52,45,68,51,53,66,2,83,77,76,75,73,69,74,126])).
% 0.53/1.25 cnf(175,plain,
% 0.53/1.25 (P3(x1751,x1751)),
% 0.53/1.25 inference(rename_variables,[],[52])).
% 0.53/1.25 cnf(179,plain,
% 0.53/1.25 (P2(x1791,f19(a1,a1))),
% 0.53/1.25 inference(scs_inference,[],[52,45,68,51,53,66,2,83,77,76,75,73,69,74,126,107,106])).
% 0.53/1.25 cnf(187,plain,
% 0.53/1.25 (~E(f19(f20(x1871,x1871),x1872),a1)),
% 0.53/1.25 inference(scs_inference,[],[52,45,68,51,53,57,50,66,56,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40])).
% 0.53/1.25 cnf(188,plain,
% 0.53/1.25 (P3(x1881,f19(x1881,x1882))),
% 0.53/1.25 inference(rename_variables,[],[57])).
% 0.53/1.25 cnf(189,plain,
% 0.53/1.25 (~E(a1,f20(x1891,x1891))),
% 0.53/1.25 inference(scs_inference,[],[52,175,45,68,51,53,57,50,66,56,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39])).
% 0.53/1.25 cnf(190,plain,
% 0.53/1.25 (P3(x1901,x1901)),
% 0.53/1.25 inference(rename_variables,[],[52])).
% 0.53/1.25 cnf(194,plain,
% 0.53/1.25 (E(f19(x1941,x1941),x1941)),
% 0.53/1.25 inference(rename_variables,[],[53])).
% 0.53/1.25 cnf(196,plain,
% 0.53/1.25 (E(f19(x1961,x1961),x1961)),
% 0.53/1.25 inference(rename_variables,[],[53])).
% 0.53/1.25 cnf(197,plain,
% 0.53/1.25 (P2(f4(a1,x1971),a3)),
% 0.53/1.25 inference(scs_inference,[],[52,175,45,64,68,51,53,166,194,57,58,50,66,56,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110])).
% 0.53/1.25 cnf(198,plain,
% 0.53/1.25 (P3(f4(x1981,x1982),x1981)),
% 0.53/1.25 inference(rename_variables,[],[58])).
% 0.53/1.25 cnf(200,plain,
% 0.53/1.25 (E(x2001,f4(x2001,a1))),
% 0.53/1.25 inference(scs_inference,[],[52,175,45,64,68,51,53,166,194,57,58,198,50,66,56,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99])).
% 0.53/1.25 cnf(201,plain,
% 0.53/1.25 (P3(f4(x2011,x2012),x2011)),
% 0.53/1.25 inference(rename_variables,[],[58])).
% 0.53/1.25 cnf(204,plain,
% 0.53/1.25 (P3(a1,x2041)),
% 0.53/1.25 inference(rename_variables,[],[48])).
% 0.53/1.25 cnf(209,plain,
% 0.53/1.25 (E(f19(x2091,a1),x2091)),
% 0.53/1.25 inference(rename_variables,[],[49])).
% 0.53/1.25 cnf(211,plain,
% 0.53/1.25 (~P4(f8(f20(a1,a1)),f4(f19(x2111,f20(a1,a1)),f20(a1,a1)))),
% 0.53/1.25 inference(scs_inference,[],[65,52,175,48,45,64,68,51,53,166,194,57,58,198,49,50,66,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121])).
% 0.53/1.25 cnf(215,plain,
% 0.53/1.25 (E(f19(x2151,x2151),x2151)),
% 0.53/1.25 inference(rename_variables,[],[53])).
% 0.53/1.25 cnf(217,plain,
% 0.53/1.25 (P4(f8(f20(a1,a1)),f19(x2171,f20(a1,a1)))),
% 0.53/1.25 inference(scs_inference,[],[65,52,175,48,45,64,68,51,53,166,194,196,57,58,198,49,50,66,55,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112])).
% 0.53/1.25 cnf(218,plain,
% 0.53/1.25 (E(f19(x2181,x2182),f19(x2182,x2181))),
% 0.53/1.25 inference(rename_variables,[],[55])).
% 0.53/1.25 cnf(225,plain,
% 0.53/1.25 (P4(x2251,f19(f5(x2251),f5(x2251)))),
% 0.53/1.25 inference(scs_inference,[],[65,52,175,190,48,45,64,68,51,53,166,194,196,215,57,58,198,49,50,66,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95])).
% 0.53/1.25 cnf(226,plain,
% 0.53/1.25 (E(f19(x2261,x2261),x2261)),
% 0.53/1.25 inference(rename_variables,[],[53])).
% 0.53/1.25 cnf(228,plain,
% 0.53/1.25 (P4(f20(a1,a1),f19(f20(f5(a1),x2281),a1))),
% 0.53/1.25 inference(scs_inference,[],[65,52,175,190,48,45,64,68,51,53,166,194,196,215,57,58,198,49,209,50,66,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89])).
% 0.53/1.25 cnf(229,plain,
% 0.53/1.25 (E(f19(x2291,a1),x2291)),
% 0.53/1.25 inference(rename_variables,[],[49])).
% 0.53/1.25 cnf(235,plain,
% 0.53/1.25 (E(f19(x2351,x2351),x2351)),
% 0.53/1.25 inference(rename_variables,[],[53])).
% 0.53/1.25 cnf(238,plain,
% 0.53/1.25 (E(f19(x2381,x2381),x2381)),
% 0.53/1.25 inference(rename_variables,[],[53])).
% 0.53/1.25 cnf(240,plain,
% 0.53/1.25 (~P4(f20(a1,a1),f4(f20(a1,a1),a1))),
% 0.53/1.25 inference(scs_inference,[],[65,52,175,190,48,45,64,68,51,53,166,194,196,215,226,235,57,58,198,49,209,229,50,66,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102])).
% 0.53/1.26 cnf(243,plain,
% 0.53/1.26 (~E(f20(x2431,x2431),a1)),
% 0.53/1.26 inference(rename_variables,[],[66])).
% 0.53/1.26 cnf(247,plain,
% 0.53/1.26 (~P4(f20(a1,a1),f8(f20(a1,a1)))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,57,58,198,49,209,229,50,66,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92])).
% 0.53/1.26 cnf(252,plain,
% 0.53/1.26 (E(f19(x2521,x2521),x2521)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(288,plain,
% 0.53/1.26 (E(f4(x2881,f20(a1,a1)),f4(x2881,f5(a1)))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,238,57,58,198,49,209,229,50,66,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.53/1.26 cnf(289,plain,
% 0.53/1.26 (E(f4(f20(a1,a1),x2891),f4(f5(a1),x2891))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,238,57,58,198,49,209,229,50,66,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 0.53/1.26 cnf(296,plain,
% 0.53/1.26 (P4(f13(f20(a1,a1),a1),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,238,57,58,198,49,209,229,50,66,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105])).
% 0.53/1.26 cnf(306,plain,
% 0.53/1.26 (~P4(x3061,f4(a1,f4(a1,a3)))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,238,57,58,198,49,209,229,50,66,243,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105,85,84,79,97,144])).
% 0.53/1.26 cnf(308,plain,
% 0.53/1.26 (~E(f4(f20(a7,a7),f4(f20(a7,a7),a3)),a1)),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,238,57,58,198,49,209,229,50,66,243,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105,85,84,79,97,144,125])).
% 0.53/1.26 cnf(314,plain,
% 0.53/1.26 (E(f4(f20(a7,a7),f4(f20(a7,a7),f19(a1,a1))),a1)),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,238,57,188,58,198,49,209,229,50,66,243,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105,85,84,79,97,144,125,117,116,114])).
% 0.53/1.26 cnf(320,plain,
% 0.53/1.26 (~P3(f20(f20(x3201,x3201),f20(x3201,x3201)),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,48,204,45,64,68,51,53,166,194,196,215,226,235,238,57,188,58,198,49,209,229,50,66,243,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105,85,84,79,97,144,125,117,116,114,98,145,137])).
% 0.53/1.26 cnf(334,plain,
% 0.53/1.26 (P3(a3,f4(a3,f20(a7,a7)))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,67,48,204,45,64,68,51,53,166,194,196,215,226,235,238,252,57,188,58,198,201,49,209,229,50,66,243,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105,85,84,79,97,144,125,117,116,114,98,145,137,44,43,120,109,108,130,143,140])).
% 0.53/1.26 cnf(336,plain,
% 0.53/1.26 (~E(f20(f20(x3361,x3361),x3362),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,67,48,204,45,64,68,51,53,166,194,196,215,226,235,238,252,57,188,58,198,201,49,209,229,50,66,243,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105,85,84,79,97,144,125,117,116,114,98,145,137,44,43,120,109,108,130,143,140,100])).
% 0.53/1.26 cnf(344,plain,
% 0.53/1.26 (~P4(f10(a3,f4(a1,f4(a1,a3))),f4(a1,x3441))+~P4(a7,x3442)+~E(a3,f4(x3442,a3))),
% 0.53/1.26 inference(scs_inference,[],[65,52,175,190,67,48,204,45,64,68,51,53,166,194,196,215,226,235,238,252,57,188,58,198,201,49,209,229,50,66,243,55,218,56,61,2,83,77,76,75,73,69,74,126,107,106,86,81,42,41,40,39,38,37,36,3,110,99,87,70,134,121,113,112,111,96,95,89,88,101,124,102,94,92,72,91,104,103,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,133,132,115,105,85,84,79,97,144,125,117,116,114,98,145,137,44,43,120,109,108,130,143,140,100,129,82,128,123])).
% 0.53/1.26 cnf(347,plain,
% 0.53/1.26 (~P4(x3471,a1)),
% 0.53/1.26 inference(rename_variables,[],[161])).
% 0.53/1.26 cnf(351,plain,
% 0.53/1.26 (P4(x3511,f20(x3511,x3511))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(354,plain,
% 0.53/1.26 (~P4(x3541,a1)),
% 0.53/1.26 inference(rename_variables,[],[161])).
% 0.53/1.26 cnf(356,plain,
% 0.53/1.26 (~P4(f13(f20(f20(x3561,x3561),f20(x3561,x3561)),f20(a1,a1)),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[65,174,320,189,161,347,122,138,146,127])).
% 0.53/1.26 cnf(358,plain,
% 0.53/1.26 (~P4(f20(x3581,x3581),f8(f20(x3581,x3581)))),
% 0.53/1.26 inference(scs_inference,[],[65,172,174,320,189,161,347,122,138,146,127,92])).
% 0.53/1.26 cnf(360,plain,
% 0.53/1.26 (P2(f19(a1,a1),x3601)),
% 0.53/1.26 inference(scs_inference,[],[65,172,174,320,179,189,161,347,122,138,146,127,92,83])).
% 0.53/1.26 cnf(362,plain,
% 0.53/1.26 (~P1(f19(f5(x3621),f5(x3621)))),
% 0.53/1.26 inference(scs_inference,[],[65,172,174,225,320,179,189,161,347,122,138,146,127,92,83,77])).
% 0.53/1.26 cnf(364,plain,
% 0.53/1.26 (~E(f19(f5(x3641),f5(x3641)),a1)),
% 0.53/1.26 inference(scs_inference,[],[65,172,174,225,320,179,189,161,347,122,138,146,127,92,83,77,75])).
% 0.53/1.26 cnf(366,plain,
% 0.53/1.26 (~P3(f20(a7,a7),a3)),
% 0.53/1.26 inference(scs_inference,[],[65,172,174,225,320,179,189,161,347,122,138,146,127,92,83,77,75,126])).
% 0.53/1.26 cnf(369,plain,
% 0.53/1.26 (~P4(x3691,f4(a1,f4(a1,a3)))),
% 0.53/1.26 inference(rename_variables,[],[306])).
% 0.53/1.26 cnf(371,plain,
% 0.53/1.26 (~P3(f20(f20(a1,a1),f20(a1,a1)),f8(f20(a1,a1)))),
% 0.53/1.26 inference(scs_inference,[],[65,172,174,351,225,320,247,179,306,189,161,347,122,138,146,127,92,83,77,75,126,105,108])).
% 0.53/1.26 cnf(372,plain,
% 0.53/1.26 (P4(x3721,f20(x3721,x3721))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(375,plain,
% 0.53/1.26 (P3(a1,x3751)),
% 0.53/1.26 inference(rename_variables,[],[48])).
% 0.53/1.26 cnf(377,plain,
% 0.53/1.26 (~E(f20(x3771,x3771),f4(x3772,f20(x3771,x3771)))),
% 0.53/1.26 inference(scs_inference,[],[65,48,172,174,351,225,320,247,179,306,189,161,347,122,138,146,127,92,83,77,75,126,105,108,87,121])).
% 0.53/1.26 cnf(379,plain,
% 0.53/1.26 (~E(f20(a7,a7),f4(a3,x3791))),
% 0.53/1.26 inference(scs_inference,[],[65,48,172,174,351,372,225,320,247,179,306,189,161,347,122,138,146,127,92,83,77,75,126,105,108,87,121,113])).
% 0.53/1.26 cnf(380,plain,
% 0.53/1.26 (P4(x3801,f20(x3801,x3801))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(385,plain,
% 0.53/1.26 (P3(x3851,x3851)),
% 0.53/1.26 inference(rename_variables,[],[52])).
% 0.53/1.26 cnf(388,plain,
% 0.53/1.26 (E(x3881,f4(x3881,a1))),
% 0.53/1.26 inference(rename_variables,[],[200])).
% 0.53/1.26 cnf(392,plain,
% 0.53/1.26 (~P2(f20(x3921,x3921),f20(x3921,x3921))),
% 0.53/1.26 inference(scs_inference,[],[65,52,48,51,172,174,351,372,225,320,247,296,200,179,306,189,161,347,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120])).
% 0.53/1.26 cnf(397,plain,
% 0.53/1.26 (P3(a1,x3971)),
% 0.53/1.26 inference(rename_variables,[],[48])).
% 0.53/1.26 cnf(401,plain,
% 0.53/1.26 (~E(f20(x4011,x4011),a1)),
% 0.53/1.26 inference(rename_variables,[],[66])).
% 0.53/1.26 cnf(403,plain,
% 0.53/1.26 (E(a2,a1)),
% 0.53/1.26 inference(scs_inference,[],[65,46,52,48,375,68,66,51,172,174,351,372,225,320,247,296,200,179,228,306,189,187,161,347,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69])).
% 0.53/1.26 cnf(407,plain,
% 0.53/1.26 (~P3(f20(a7,a7),f4(f20(a7,a7),a3))),
% 0.53/1.26 inference(scs_inference,[],[65,46,52,48,375,68,66,51,172,174,351,372,225,320,247,296,200,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79])).
% 0.53/1.26 cnf(409,plain,
% 0.53/1.26 (~P5(a1,f4(a1,x4091))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,52,67,48,375,68,66,51,172,174,351,372,225,320,247,296,200,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44])).
% 0.53/1.26 cnf(410,plain,
% 0.53/1.26 (~P5(x4101,x4101)),
% 0.53/1.26 inference(rename_variables,[],[67])).
% 0.53/1.26 cnf(411,plain,
% 0.53/1.26 (~P4(f4(a7,f4(a7,a7)),a3)),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,59,52,67,48,375,68,66,51,172,174,351,372,225,320,247,296,200,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37])).
% 0.53/1.26 cnf(412,plain,
% 0.53/1.26 (E(f4(x4121,f4(x4121,x4121)),x4121)),
% 0.53/1.26 inference(rename_variables,[],[59])).
% 0.53/1.26 cnf(414,plain,
% 0.53/1.26 (~E(f20(f20(x4141,x4141),x4142),f20(a1,a1))),
% 0.53/1.26 inference(rename_variables,[],[336])).
% 0.53/1.26 cnf(415,plain,
% 0.53/1.26 (E(f20(x4151,x4152),f20(x4152,x4151))),
% 0.53/1.26 inference(rename_variables,[],[54])).
% 0.53/1.26 cnf(416,plain,
% 0.53/1.26 (~E(f20(a7,a7),f4(x4161,f4(x4161,a3)))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,59,52,67,48,375,68,66,51,172,174,351,372,380,225,336,320,247,296,200,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134])).
% 0.53/1.26 cnf(417,plain,
% 0.53/1.26 (P4(x4171,f20(x4171,x4171))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(419,plain,
% 0.53/1.26 (~E(f4(f19(x4191,f20(a1,a1)),f20(a1,a1)),f19(f20(a1,a1),x4192))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,59,52,67,48,375,68,66,51,172,174,351,372,380,225,336,320,247,296,211,200,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112])).
% 0.53/1.26 cnf(420,plain,
% 0.53/1.26 (P4(f8(f20(x4201,x4201)),f20(x4201,x4201))),
% 0.53/1.26 inference(rename_variables,[],[172])).
% 0.53/1.26 cnf(422,plain,
% 0.53/1.26 (~E(f4(f19(x4221,f20(a1,a1)),f20(a1,a1)),f19(x4222,f20(a1,a1)))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,59,52,67,48,375,68,66,51,172,420,174,351,372,380,225,336,320,247,296,211,200,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111])).
% 0.53/1.26 cnf(423,plain,
% 0.53/1.26 (P4(f8(f20(x4231,x4231)),f20(x4231,x4231))),
% 0.53/1.26 inference(rename_variables,[],[172])).
% 0.53/1.26 cnf(428,plain,
% 0.53/1.26 (P3(f19(a1,x4281),x4281)),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,59,52,385,67,48,375,397,68,66,51,172,420,174,351,372,380,225,336,320,247,296,211,200,388,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130])).
% 0.53/1.26 cnf(431,plain,
% 0.53/1.26 (E(f8(f20(x4311,x4311)),x4311)),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,59,52,385,67,48,375,397,68,66,51,172,420,423,174,351,372,380,225,336,320,247,296,211,200,388,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101])).
% 0.53/1.26 cnf(433,plain,
% 0.53/1.26 (E(f20(x4331,x4332),f20(x4332,x4331))),
% 0.53/1.26 inference(rename_variables,[],[54])).
% 0.53/1.26 cnf(435,plain,
% 0.53/1.26 (P3(x4351,f4(f19(x4351,x4352),f4(f19(x4351,x4352),x4351)))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,59,52,385,67,48,375,397,57,68,66,51,172,420,423,174,351,372,380,225,336,320,247,296,211,200,388,179,228,306,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143])).
% 0.53/1.26 cnf(441,plain,
% 0.53/1.26 (~P3(f19(f20(f5(a1),f5(a1)),a1),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,59,52,385,67,48,375,397,57,68,66,51,172,420,423,174,351,372,380,225,336,320,247,296,211,200,388,179,228,306,165,189,187,161,347,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128])).
% 0.53/1.26 cnf(444,plain,
% 0.53/1.26 (P4(f10(f20(x4441,x4441),a1),f20(x4441,x4441))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,59,52,385,67,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,225,336,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129])).
% 0.53/1.26 cnf(445,plain,
% 0.53/1.26 (~P4(x4451,a1)),
% 0.53/1.26 inference(rename_variables,[],[161])).
% 0.53/1.26 cnf(448,plain,
% 0.53/1.26 (P4(x4481,f20(x4481,x4481))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(452,plain,
% 0.53/1.26 (P4(f9(f20(a7,a7),a3),a3)),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,59,52,385,67,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,417,225,336,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106])).
% 0.53/1.26 cnf(454,plain,
% 0.53/1.26 (~P2(f19(f20(a1,a1),f20(a1,a1)),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,59,52,385,67,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,417,225,336,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106,85])).
% 0.53/1.26 cnf(456,plain,
% 0.53/1.26 (~E(f4(f20(f20(x4561,x4561),f20(x4561,x4561)),f20(a1,a1)),a1)),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,59,52,385,67,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,417,225,336,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106,85,81])).
% 0.53/1.26 cnf(458,plain,
% 0.53/1.26 (~P5(f20(x4581,x4582),f20(x4582,x4581))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,433,59,52,385,67,410,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,417,225,336,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106,85,81,43])).
% 0.53/1.26 cnf(460,plain,
% 0.53/1.26 (~P4(f20(x4601,x4601),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,433,59,52,385,67,410,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,417,225,336,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106,85,81,43,115])).
% 0.53/1.26 cnf(462,plain,
% 0.53/1.26 (~E(f20(a1,a1),f20(f20(x4621,x4621),x4622))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,433,59,52,385,67,410,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,417,225,336,414,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106,85,81,43,115,2])).
% 0.53/1.26 cnf(463,plain,
% 0.53/1.26 (~P4(x4631,f4(f19(a1,a1),f4(f19(a1,a1),f19(a1,a1))))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,433,59,412,52,385,67,410,48,375,397,57,68,66,401,51,172,420,423,174,351,372,380,417,225,336,414,320,247,296,211,200,388,179,228,306,165,189,187,161,347,354,308,197,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106,85,81,43,115,2,38])).
% 0.53/1.26 cnf(464,plain,
% 0.53/1.26 (E(f4(x4641,f4(x4641,x4641)),x4641)),
% 0.53/1.26 inference(rename_variables,[],[59])).
% 0.53/1.26 cnf(474,plain,
% 0.53/1.26 (~P4(x4741,f4(a1,f4(a1,a3)))),
% 0.53/1.26 inference(rename_variables,[],[306])).
% 0.53/1.26 cnf(477,plain,
% 0.53/1.26 (~P4(x4771,a1)),
% 0.53/1.26 inference(rename_variables,[],[161])).
% 0.53/1.26 cnf(478,plain,
% 0.53/1.26 (~P4(x4781,f4(a1,f4(a1,a3)))),
% 0.53/1.26 inference(rename_variables,[],[306])).
% 0.53/1.26 cnf(486,plain,
% 0.53/1.26 (~P3(f20(f20(x4861,x4861),f20(x4861,x4861)),f4(f20(a1,a1),x4862))),
% 0.53/1.26 inference(scs_inference,[],[65,46,47,54,415,433,59,412,464,52,385,67,410,48,375,397,57,58,64,68,66,401,51,172,420,423,174,351,372,380,417,448,225,336,414,320,247,296,211,200,388,179,228,306,369,474,478,165,168,189,187,161,347,354,445,477,308,197,159,122,138,146,127,92,83,77,75,126,105,108,87,121,113,96,95,88,72,120,110,99,102,69,86,79,44,37,3,134,112,111,89,130,101,143,140,128,129,124,107,106,85,81,43,115,2,38,36,41,42,40,344,147,149,148,73,109])).
% 0.53/1.26 cnf(505,plain,
% 0.53/1.26 (~P2(f20(a1,a1),f19(f20(a1,a1),f20(a1,a1)))),
% 0.53/1.26 inference(scs_inference,[],[454,217,92,83])).
% 0.53/1.26 cnf(507,plain,
% 0.53/1.26 (P4(x5071,f19(f20(x5071,x5071),x5072))),
% 0.53/1.26 inference(scs_inference,[],[57,454,217,92,83,126])).
% 0.53/1.26 cnf(508,plain,
% 0.53/1.26 (P3(x5081,f19(x5081,x5082))),
% 0.53/1.26 inference(rename_variables,[],[57])).
% 0.53/1.26 cnf(510,plain,
% 0.53/1.26 (P4(f19(a1,a1),f5(a1))),
% 0.53/1.26 inference(scs_inference,[],[158,53,57,454,217,92,83,126,88])).
% 0.53/1.26 cnf(511,plain,
% 0.53/1.26 (E(f19(x5111,x5111),x5111)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(514,plain,
% 0.53/1.26 (E(f4(x5141,f4(x5141,x5141)),x5141)),
% 0.53/1.26 inference(rename_variables,[],[59])).
% 0.53/1.26 cnf(518,plain,
% 0.53/1.26 (~P3(f20(x5181,x5181),f4(f20(x5181,x5181),f20(x5181,x5181)))),
% 0.53/1.26 inference(scs_inference,[],[158,53,59,57,58,377,454,217,456,92,83,126,88,75,73,99])).
% 0.53/1.26 cnf(526,plain,
% 0.53/1.26 (P2(x5261,f4(x5261,x5261))),
% 0.53/1.26 inference(scs_inference,[],[158,53,59,514,57,58,66,377,454,217,456,92,83,126,88,75,73,99,102,69,86])).
% 0.53/1.26 cnf(529,plain,
% 0.53/1.26 (E(f19(x5291,x5291),x5291)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(531,plain,
% 0.53/1.26 (~P4(f20(f19(x5311,x5312),f19(x5311,x5312)),x5312)),
% 0.53/1.26 inference(scs_inference,[],[158,53,511,59,514,57,58,66,358,431,377,454,217,456,411,92,83,126,88,75,73,99,102,69,86,113,111])).
% 0.53/1.26 cnf(532,plain,
% 0.53/1.26 (~P4(f20(x5321,x5321),f8(f20(x5321,x5321)))),
% 0.53/1.26 inference(rename_variables,[],[358])).
% 0.53/1.26 cnf(533,plain,
% 0.53/1.26 (E(f8(f20(x5331,x5331)),x5331)),
% 0.53/1.26 inference(rename_variables,[],[431])).
% 0.53/1.26 cnf(540,plain,
% 0.53/1.26 (~P4(f4(f20(f20(x5401,x5401),f20(x5401,x5401)),f20(a1,a1)),f5(a1))),
% 0.53/1.26 inference(scs_inference,[],[158,53,511,59,514,57,58,66,51,356,358,431,377,454,217,456,411,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101])).
% 0.53/1.26 cnf(543,plain,
% 0.53/1.26 (~P4(x5431,a1)),
% 0.53/1.26 inference(rename_variables,[],[161])).
% 0.53/1.26 cnf(549,plain,
% 0.53/1.26 (P2(f4(a1,f4(a1,a3)),x5491)),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,59,514,57,58,66,51,356,358,431,377,460,463,454,217,456,411,306,161,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107])).
% 0.53/1.26 cnf(550,plain,
% 0.53/1.26 (~P4(x5501,f4(a1,f4(a1,a3)))),
% 0.53/1.26 inference(rename_variables,[],[306])).
% 0.53/1.26 cnf(555,plain,
% 0.53/1.26 (P4(f13(f20(a7,a7),f4(f20(a7,a7),a3)),f20(a7,a7))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,59,514,57,58,66,51,356,358,431,377,460,463,454,407,217,456,411,306,550,161,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105])).
% 0.53/1.26 cnf(557,plain,
% 0.53/1.26 (P3(f20(a7,a7),f4(f20(a7,a7),f19(a1,a1)))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,59,514,57,58,66,51,356,358,431,377,460,463,454,407,217,456,314,411,306,550,161,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81])).
% 0.53/1.26 cnf(561,plain,
% 0.53/1.26 (~P3(f20(a1,a1),f20(f20(x5611,x5611),f20(x5611,x5611)))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,59,514,57,58,66,51,356,358,431,377,460,462,463,454,407,217,456,314,411,306,550,161,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128])).
% 0.53/1.26 cnf(565,plain,
% 0.53/1.26 (~P1(f19(x5651,f20(a1,a1)))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,59,514,57,58,66,51,356,358,431,377,460,462,463,454,407,217,456,314,411,306,550,161,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128,77])).
% 0.53/1.26 cnf(567,plain,
% 0.53/1.26 (~P4(f20(a7,a7),f19(f5(a3),f5(a3)))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,529,59,514,57,58,66,51,356,358,431,377,460,462,463,454,407,366,217,456,314,411,306,550,161,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128,77,96])).
% 0.53/1.26 cnf(568,plain,
% 0.53/1.26 (E(f19(x5681,x5681),x5681)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(576,plain,
% 0.53/1.26 (P4(x5761,f20(f19(x5761,x5761),f19(x5761,x5761)))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,529,568,59,514,48,57,508,58,66,51,356,358,431,377,460,462,463,454,407,366,217,456,314,409,411,306,550,161,174,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128,77,96,72,87,79,37])).
% 0.53/1.26 cnf(578,plain,
% 0.53/1.26 (~P4(f20(f19(x5781,x5782),f19(x5781,x5782)),x5781)),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,529,568,59,514,48,57,508,58,66,51,356,358,532,431,533,377,460,462,463,454,407,366,217,456,314,409,411,306,550,161,174,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128,77,96,72,87,79,37,112])).
% 0.53/1.26 cnf(582,plain,
% 0.53/1.26 (E(f4(f19(a1,a1),x5821),f19(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,529,568,59,514,48,57,508,58,66,51,356,358,532,431,533,377,460,462,463,454,360,407,366,217,456,314,409,411,306,550,161,174,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128,77,96,72,87,79,37,112,85])).
% 0.53/1.26 cnf(586,plain,
% 0.53/1.26 (~E(f4(f20(a1,a1),x5861),f20(f20(x5862,x5862),f20(x5862,x5862)))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,529,568,59,514,52,48,57,508,58,66,51,356,358,532,431,533,377,486,460,462,463,454,360,407,366,217,456,314,409,411,306,550,161,174,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128,77,96,72,87,79,37,112,85,3,39])).
% 0.53/1.26 cnf(589,plain,
% 0.53/1.26 (~P4(x5891,f4(x5892,f4(x5892,a1)))),
% 0.53/1.26 inference(scs_inference,[],[158,60,53,511,529,568,59,514,56,52,48,57,508,58,66,51,356,358,532,431,533,377,486,170,460,462,463,454,360,407,366,217,456,314,409,411,306,550,161,543,174,225,92,83,126,88,75,73,99,102,69,86,113,111,95,89,101,129,124,107,106,105,81,115,128,77,96,72,87,79,37,112,85,3,39,36,38])).
% 0.53/1.26 cnf(616,plain,
% 0.53/1.26 (~P4(x6161,f4(f20(x6161,x6161),f20(x6161,x6161)))),
% 0.53/1.26 inference(scs_inference,[],[526,132])).
% 0.53/1.26 cnf(617,plain,
% 0.53/1.26 (P2(x6171,f4(x6171,x6171))),
% 0.53/1.26 inference(rename_variables,[],[526])).
% 0.53/1.26 cnf(621,plain,
% 0.53/1.26 (~P4(x6211,f4(x6212,f4(x6212,a1)))),
% 0.53/1.26 inference(rename_variables,[],[589])).
% 0.53/1.26 cnf(624,plain,
% 0.53/1.26 (~P4(x6241,a1)),
% 0.53/1.26 inference(rename_variables,[],[161])).
% 0.53/1.26 cnf(625,plain,
% 0.53/1.26 (~P4(x6251,f4(x6252,f4(x6252,a1)))),
% 0.53/1.26 inference(rename_variables,[],[589])).
% 0.53/1.26 cnf(628,plain,
% 0.53/1.26 (P2(x6281,f4(x6281,x6281))),
% 0.53/1.26 inference(rename_variables,[],[526])).
% 0.53/1.26 cnf(630,plain,
% 0.53/1.26 (P2(f4(x6301,x6301),x6301)),
% 0.53/1.26 inference(scs_inference,[],[526,617,628,589,621,510,379,161,132,148,147,120,83])).
% 0.53/1.26 cnf(634,plain,
% 0.53/1.26 (~P4(x6341,f4(x6342,f4(x6342,a1)))),
% 0.53/1.26 inference(rename_variables,[],[589])).
% 0.53/1.26 cnf(637,plain,
% 0.53/1.26 (E(f19(x6371,a1),x6371)),
% 0.53/1.26 inference(rename_variables,[],[49])).
% 0.53/1.26 cnf(641,plain,
% 0.53/1.26 (~E(f5(a1),a1)),
% 0.53/1.26 inference(scs_inference,[],[49,526,617,628,567,589,621,625,510,364,379,416,161,132,148,147,120,83,149,102,126,75])).
% 0.53/1.26 cnf(646,plain,
% 0.53/1.26 (E(f19(x6461,a1),x6461)),
% 0.53/1.26 inference(rename_variables,[],[49])).
% 0.53/1.26 cnf(650,plain,
% 0.53/1.26 (E(f19(x6501,f4(x6502,x6501)),f19(x6501,x6502))),
% 0.53/1.26 inference(rename_variables,[],[60])).
% 0.53/1.26 cnf(651,plain,
% 0.53/1.26 (~P4(f20(f19(x6511,x6512),f19(x6511,x6512)),x6512)),
% 0.53/1.26 inference(rename_variables,[],[531])).
% 0.53/1.26 cnf(653,plain,
% 0.53/1.26 (~P3(f20(f5(a1),f5(a1)),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,48,526,617,628,531,507,567,589,621,625,510,364,441,379,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130])).
% 0.53/1.26 cnf(656,plain,
% 0.53/1.26 (~P4(x6561,a2)),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,46,48,526,617,628,531,507,567,589,621,625,510,364,441,379,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130,77])).
% 0.53/1.26 cnf(658,plain,
% 0.53/1.26 (P4(f9(f20(x6581,x6581),f20(x6581,x6581)),f20(x6581,x6581))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,46,48,392,526,617,628,531,507,567,589,621,625,510,364,441,379,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106])).
% 0.53/1.26 cnf(660,plain,
% 0.53/1.26 (E(f4(f20(a7,a7),f4(f20(a7,a7),a3)),f20(a7,a7))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,46,48,58,392,526,617,628,531,507,567,589,621,625,510,364,441,379,308,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128])).
% 0.53/1.26 cnf(661,plain,
% 0.53/1.26 (P3(f4(x6611,x6612),x6611)),
% 0.53/1.26 inference(rename_variables,[],[58])).
% 0.53/1.26 cnf(665,plain,
% 0.53/1.26 (~E(f4(f20(x6651,x6651),f4(f20(x6651,x6651),f20(x6651,x6651))),a1)),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,46,48,58,518,392,561,526,617,628,531,507,567,589,621,625,510,364,441,379,308,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81])).
% 0.53/1.26 cnf(668,plain,
% 0.53/1.26 (~E(f4(f19(x6681,f20(a1,a1)),f20(a1,a1)),f19(f20(a1,a1),x6682))),
% 0.53/1.26 inference(rename_variables,[],[419])).
% 0.53/1.26 cnf(669,plain,
% 0.53/1.26 (P3(f4(x6691,x6692),x6691)),
% 0.53/1.26 inference(rename_variables,[],[58])).
% 0.53/1.26 cnf(675,plain,
% 0.53/1.26 (~E(f4(f20(x6751,x6751),f20(x6751,x6751)),f20(x6751,x6751))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,46,48,58,661,669,518,392,561,526,617,628,531,507,419,668,567,589,621,625,510,364,441,379,308,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86])).
% 0.53/1.26 cnf(678,plain,
% 0.53/1.26 (E(f19(x6781,a1),x6781)),
% 0.53/1.26 inference(rename_variables,[],[49])).
% 0.53/1.26 cnf(680,plain,
% 0.53/1.26 (P4(x6801,f19(f20(f19(x6801,x6801),f19(x6801,x6801)),x6802))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,646,55,46,48,58,661,669,518,576,392,561,526,617,628,531,651,507,419,668,567,589,621,625,510,364,441,379,308,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111])).
% 0.53/1.26 cnf(681,plain,
% 0.53/1.26 (E(f19(x6811,x6812),f19(x6812,x6811))),
% 0.53/1.26 inference(rename_variables,[],[55])).
% 0.53/1.26 cnf(683,plain,
% 0.53/1.26 (P4(x6831,f19(f5(x6831),a1))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,646,678,55,46,52,48,58,661,669,518,576,392,561,526,617,628,531,651,507,419,668,567,589,621,625,510,364,441,379,308,416,161,624,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95])).
% 0.53/1.26 cnf(684,plain,
% 0.53/1.26 (E(f19(x6841,a1),x6841)),
% 0.53/1.26 inference(rename_variables,[],[49])).
% 0.53/1.26 cnf(691,plain,
% 0.53/1.26 (P3(f4(x6911,f4(x6911,a1)),x6912)),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,646,678,55,46,52,48,58,661,669,518,576,392,561,526,617,628,531,651,507,419,668,505,567,589,621,625,634,510,364,441,379,308,416,161,624,189,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105])).
% 0.53/1.26 cnf(692,plain,
% 0.53/1.26 (~P4(x6921,f4(x6922,f4(x6922,a1)))),
% 0.53/1.26 inference(rename_variables,[],[589])).
% 0.53/1.26 cnf(698,plain,
% 0.53/1.26 (~P2(f19(x6981,f20(a1,a1)),f20(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,646,678,54,55,67,46,52,48,58,661,669,518,576,392,561,526,617,628,531,651,507,419,668,422,505,567,589,621,625,634,510,364,441,379,308,416,161,624,189,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105,44,101,85])).
% 0.53/1.26 cnf(701,plain,
% 0.53/1.26 (P5(f4(f20(a1,a1),f20(a1,a1)),f19(f20(a1,a1),f20(a1,a1)))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,646,678,54,55,61,67,46,52,48,58,661,669,518,576,392,561,526,617,628,531,651,507,419,668,422,505,567,589,621,625,634,510,364,441,379,308,416,161,624,189,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105,44,101,85,43])).
% 0.53/1.26 cnf(707,plain,
% 0.53/1.26 (P2(f20(a1,a1),f4(f20(a1,a1),f5(a1)))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,646,678,54,55,61,67,46,52,48,58,661,669,51,518,576,392,561,526,617,628,531,651,507,419,668,422,505,567,371,589,621,625,634,510,364,441,288,444,379,308,416,161,624,189,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105,44,101,85,43,96,72,42])).
% 0.53/1.26 cnf(714,plain,
% 0.53/1.26 (~P4(x7141,f4(x7142,f4(x7142,a1)))),
% 0.53/1.26 inference(rename_variables,[],[589])).
% 0.53/1.26 cnf(717,plain,
% 0.53/1.26 (~E(f20(x7171,x7171),f19(a1,a1))),
% 0.53/1.26 inference(scs_inference,[],[60,49,637,646,678,684,54,55,681,61,67,46,52,48,58,661,669,66,51,518,576,392,561,526,617,628,531,651,507,419,668,422,505,567,371,589,621,625,634,692,510,364,441,288,289,444,379,308,416,161,624,189,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105,44,101,85,43,96,72,42,112,123,3])).
% 0.53/1.26 cnf(722,plain,
% 0.53/1.26 (E(f19(x7221,f4(x7222,x7221)),f19(x7221,x7222))),
% 0.53/1.26 inference(rename_variables,[],[60])).
% 0.53/1.26 cnf(726,plain,
% 0.53/1.26 (~E(f20(a7,a7),f4(x7261,f4(x7261,a1)))),
% 0.53/1.26 inference(scs_inference,[],[60,650,722,49,637,646,678,684,54,55,681,61,67,46,52,48,57,58,661,669,66,51,518,576,392,561,526,617,628,531,651,586,362,507,419,668,422,505,555,567,371,589,621,625,634,692,714,510,364,452,441,288,289,444,379,308,416,161,624,189,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105,44,101,85,43,96,72,42,112,123,3,37,36,39,40,2,38])).
% 0.53/1.26 cnf(727,plain,
% 0.53/1.26 (~P4(x7271,f4(x7272,f4(x7272,a1)))),
% 0.53/1.26 inference(rename_variables,[],[589])).
% 0.53/1.26 cnf(728,plain,
% 0.53/1.26 (~E(f4(a1,f4(a1,a3)),f20(a7,a7))),
% 0.53/1.26 inference(scs_inference,[],[68,60,650,722,49,637,646,678,684,54,55,681,61,67,46,52,48,57,58,661,669,66,51,518,576,392,561,526,617,628,531,651,586,362,507,419,668,422,549,505,555,567,371,589,621,625,634,692,714,510,364,452,441,288,289,444,379,308,416,161,624,189,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105,44,101,85,43,96,72,42,112,123,3,37,36,39,40,2,38,41])).
% 0.53/1.26 cnf(740,plain,
% 0.53/1.26 (~P3(f19(f20(x7401,x7401),x7402),f4(f20(x7401,x7401),f20(x7401,x7401)))),
% 0.53/1.26 inference(scs_inference,[],[68,60,650,722,49,637,646,678,684,54,55,681,61,67,46,52,48,57,58,661,669,66,51,518,576,392,561,526,617,628,531,651,586,362,507,419,668,422,549,505,555,567,371,589,621,625,634,692,714,727,510,364,452,441,288,289,444,379,308,416,161,624,189,165,132,148,147,120,83,149,102,126,75,92,134,124,130,77,106,128,115,81,99,87,86,113,111,95,129,107,105,44,101,85,43,96,72,42,112,123,3,37,36,39,40,2,38,41,93,153,76,94,109])).
% 0.53/1.26 cnf(763,plain,
% 0.53/1.26 (~P4(x7631,f4(a1,f4(a1,a3)))),
% 0.53/1.26 inference(rename_variables,[],[306])).
% 0.53/1.26 cnf(774,plain,
% 0.53/1.26 (P3(f4(x7741,x7742),x7741)),
% 0.53/1.26 inference(rename_variables,[],[58])).
% 0.53/1.26 cnf(777,plain,
% 0.53/1.26 (~P4(x7771,a2)),
% 0.53/1.26 inference(rename_variables,[],[656])).
% 0.53/1.26 cnf(783,plain,
% 0.53/1.26 (P2(f4(x7831,x7831),x7831)),
% 0.53/1.26 inference(rename_variables,[],[630])).
% 0.53/1.26 cnf(786,plain,
% 0.53/1.26 (E(f4(x7861,f4(x7861,x7861)),x7861)),
% 0.53/1.26 inference(rename_variables,[],[59])).
% 0.53/1.26 cnf(791,plain,
% 0.53/1.26 (P3(f4(x7911,x7912),x7911)),
% 0.53/1.26 inference(rename_variables,[],[58])).
% 0.53/1.26 cnf(801,plain,
% 0.53/1.26 (P3(f4(x8011,x8012),x8011)),
% 0.53/1.26 inference(rename_variables,[],[58])).
% 0.53/1.26 cnf(815,plain,
% 0.53/1.26 (P4(x8151,f20(x8151,x8151))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(818,plain,
% 0.53/1.26 (P4(x8181,f20(x8181,x8181))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(821,plain,
% 0.53/1.26 (~P4(x8211,f4(f20(x8211,x8211),f20(x8211,x8211)))),
% 0.53/1.26 inference(rename_variables,[],[616])).
% 0.53/1.26 cnf(833,plain,
% 0.53/1.26 (E(f4(x8331,f4(x8331,x8331)),x8331)),
% 0.53/1.26 inference(rename_variables,[],[59])).
% 0.53/1.26 cnf(838,plain,
% 0.53/1.26 (~P4(x8381,a2)),
% 0.53/1.26 inference(rename_variables,[],[656])).
% 0.53/1.26 cnf(860,plain,
% 0.53/1.26 (P4(x8601,f20(x8601,x8601))),
% 0.53/1.26 inference(rename_variables,[],[174])).
% 0.53/1.26 cnf(868,plain,
% 0.53/1.26 (E(f4(x8681,f4(x8681,x8682)),f4(x8682,f4(x8682,x8681)))),
% 0.53/1.26 inference(rename_variables,[],[62])).
% 0.53/1.26 cnf(870,plain,
% 0.53/1.26 (E(f19(x8701,x8701),x8701)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(875,plain,
% 0.53/1.26 (E(f19(x8751,x8751),x8751)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(877,plain,
% 0.53/1.26 (E(f19(x8771,x8771),x8771)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(887,plain,
% 0.53/1.26 (E(f4(x8871,f4(x8871,x8872)),f4(x8872,f4(x8872,x8871)))),
% 0.53/1.26 inference(rename_variables,[],[62])).
% 0.53/1.26 cnf(898,plain,
% 0.53/1.26 (E(f19(x8981,x8981),x8981)),
% 0.53/1.26 inference(rename_variables,[],[53])).
% 0.53/1.26 cnf(947,plain,
% 0.53/1.26 ($false),
% 0.53/1.26 inference(scs_inference,[],[45,159,62,868,887,53,870,875,877,898,59,786,833,49,50,54,55,48,64,58,774,791,801,66,51,658,675,616,821,740,435,630,783,680,578,458,565,698,701,728,653,717,582,660,403,726,691,557,707,240,428,683,334,540,665,656,777,838,641,505,452,288,174,815,818,860,306,763,146,93,144,76,94,109,147,132,120,88,83,108,126,82,75,110,115,102,99,73,113,111,95,124,92,105,86,89,130,106,96,101,129,44,107,85,43,72,42,112,123,3,37,36,39,40,38,2,41,103,133,117,138,91,116,74,104,34,32,31,30,29,27,26,23,22,20,19,18,17,16,15,14,10,7,6,137,98,84,114,97,125,35,33,28,25,24,21,13,9,8,5,4,12,11,121,140,79]),
% 0.53/1.26 ['proof']).
% 0.53/1.26 % SZS output end Proof
% 0.53/1.26 % Total time :0.610000s
%------------------------------------------------------------------------------