TSTP Solution File: COL088-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 : Wed Aug 30 18:21:39 EDT 2023
% Result : Unsatisfiable 3.73s 3.76s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 04:02:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 3.73/3.73 %-------------------------------------------
% 3.73/3.73 % File :CSE---1.6
% 3.73/3.73 % Problem :theBenchmark
% 3.73/3.73 % Transform :cnf
% 3.73/3.73 % Format :tptp:raw
% 3.73/3.73 % Command :java -jar mcs_scs.jar %d %s
% 3.73/3.73
% 3.73/3.73 % Result :Theorem 3.020000s
% 3.73/3.73 % Output :CNFRefutation 3.020000s
% 3.73/3.73 %-------------------------------------------
% 3.73/3.74 %--------------------------------------------------------------------------
% 3.73/3.74 % File : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% 3.73/3.74 % Domain : Combinatory Logic
% 3.73/3.74 % Problem : ap_reduce1_2c1
% 3.73/3.74 % Version : Especial.
% 3.73/3.74 % English : [| p ---> q; r \<in> comb |] ==> p#r ---> q#r
% 3.73/3.74
% 3.73/3.74 % Refs : [Men03] Meng (2003), Email to G. Sutcliffe
% 3.73/3.74 % Source : [Men03]
% 3.73/3.74 % Names :
% 3.73/3.74
% 3.73/3.74 % Status : Unsatisfiable
% 3.73/3.74 % Rating : 0.48 v8.1.0, 0.42 v7.5.0, 0.47 v7.3.0, 0.50 v7.1.0, 0.42 v7.0.0, 0.53 v6.4.0, 0.47 v6.3.0, 0.45 v6.2.0, 0.80 v6.1.0, 0.86 v6.0.0, 0.80 v5.5.0, 0.90 v5.3.0, 0.94 v5.0.0, 0.93 v4.1.0, 0.92 v4.0.1, 0.91 v4.0.0, 0.82 v3.7.0, 0.80 v3.5.0, 0.82 v3.4.0, 0.83 v3.3.0, 0.86 v3.2.0, 0.92 v3.1.0, 0.82 v2.7.0
% 3.73/3.74 % Syntax : Number of clauses : 186 ( 26 unt; 25 nHn; 161 RR)
% 3.73/3.74 % Number of literals : 400 ( 71 equ; 203 neg)
% 3.73/3.74 % Maximal clause size : 5 ( 2 avg)
% 3.73/3.74 % Maximal term depth : 5 ( 1 avg)
% 3.73/3.74 % Number of predicates : 14 ( 13 usr; 0 prp; 1-8 aty)
% 3.73/3.74 % Number of functors : 73 ( 73 usr; 10 con; 0-4 aty)
% 3.73/3.74 % Number of variables : 544 ( 167 sgn)
% 3.73/3.74 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.73/3.74
% 3.73/3.74 % Comments : Full axiomatization where many axioms are not needed for a
% 3.73/3.74 % solution.
% 3.73/3.74 %--------------------------------------------------------------------------
% 3.73/3.74 %----A General Axiom Set, it has most of the classical rules found from
% 3.73/3.74 %----.thy (after Main.thy). It has been used for CombZF.
% 3.73/3.74
% 3.73/3.74 %----consI1
% 3.73/3.74 cnf(clause1,axiom,
% 3.73/3.74 member(U,cons(U,V)) ).
% 3.73/3.74
% 3.73/3.74 %----consI2
% 3.73/3.74 cnf(clause2,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(U,cons(W,V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----nat_succI
% 3.73/3.74 cnf(clause3,axiom,
% 3.73/3.74 ( ~ member(U,nat)
% 3.73/3.74 | member(succ(U),nat) ) ).
% 3.73/3.74
% 3.73/3.74 %----Inr_iff (direction:Inr(?a) = Inr(?b) <- ?a = ?b)
% 3.73/3.74 cnf(clause4,axiom,
% 3.73/3.74 ( U != V
% 3.73/3.74 | inr(U) = inr(V) ) ).
% 3.73/3.74
% 3.73/3.74 %----Inl_iff (direction:Inl(?a) = Inl(?b) <-> ?a = ?b)
% 3.73/3.74 cnf(clause5,axiom,
% 3.73/3.74 ( U != V
% 3.73/3.74 | inl(U) = inl(V) ) ).
% 3.73/3.74
% 3.73/3.74 %----InlI (disjsum is "+")
% 3.73/3.74 cnf(clause6,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(inl(U),disjsum(V,W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----InrI (disjsum is "+")
% 3.73/3.74 cnf(clause7,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(inr(U),disjsum(W,V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for cons_subsetI
% 3.73/3.74 cnf(clause8,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | ~ member(W,cons(U,X))
% 3.73/3.74 | member(cons_subsetI_sk1(U,X,V),X)
% 3.73/3.74 | member(W,V) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause9,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | ~ member(cons_subsetI_sk1(U,W,V),V)
% 3.73/3.74 | ~ member(X,cons(U,W))
% 3.73/3.74 | member(X,V) ) ).
% 3.73/3.74
% 3.73/3.74 %----another version for cons_subsetI
% 3.73/3.74 cnf(clause9_1,axiom,
% 3.73/3.74 ( ~ member(A,C)
% 3.73/3.74 | ~ subset(B,C)
% 3.73/3.74 | subset(cons(A,B),C) ) ).
% 3.73/3.74
% 3.73/3.74 %----converseI
% 3.73/3.74 cnf(clause10,axiom,
% 3.73/3.74 ( ~ member(pair(U,V),W)
% 3.73/3.74 | member(pair(V,U),converse(W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----singleton_eq_iff (direction: {?a} = {?b} <- ?a = ?b
% 3.73/3.74 cnf(clause11,axiom,
% 3.73/3.74 ( U != V
% 3.73/3.74 | cons(U,eptset) = cons(V,eptset) ) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for succCI
% 3.73/3.74 cnf(clause12,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(U,succ(V)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause13,axiom,
% 3.73/3.74 ( U != V
% 3.73/3.74 | member(U,succ(V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----singletonI
% 3.73/3.74 cnf(clause14,axiom,
% 3.73/3.74 member(U,cons(U,eptset)) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for consCI
% 3.73/3.74 cnf(clause15,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(U,cons(W,V)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause16,axiom,
% 3.73/3.74 ( U != V
% 3.73/3.74 | member(U,cons(V,W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----DiffI
% 3.73/3.74 cnf(clause17,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(U,W)
% 3.73/3.74 | member(U,diff(V,W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----IntI
% 3.73/3.74 cnf(clause18,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | ~ member(U,W)
% 3.73/3.74 | member(U,int(V,W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for UnCI
% 3.73/3.74 cnf(clause19,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(U,un(W,V)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause20,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(U,un(V,W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for PowI
% 3.73/3.74 cnf(clause21,axiom,
% 3.73/3.74 ( member(powI_sk1(U,V),U)
% 3.73/3.74 | member(U,pow(V)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause22,axiom,
% 3.73/3.74 ( ~ member(powI_sk1(U,V),V)
% 3.73/3.74 | member(U,pow(V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for InterI
% 3.73/3.74 cnf(clause23,axiom,
% 3.73/3.74 ( ~ member(U,V)
% 3.73/3.74 | member(interI_sk1(W,V),V)
% 3.73/3.74 | member(W,inter(V)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause24,axiom,
% 3.73/3.74 ( ~ member(U,interI_sk1(U,V))
% 3.73/3.74 | ~ member(W,V)
% 3.73/3.74 | member(U,inter(V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----intro:
% 3.73/3.74 %----two clauses for Card_Union
% 3.73/3.74 cnf(clause25,axiom,
% 3.73/3.74 ( member(card_Union_sk1(U),U)
% 3.73/3.74 | card(union(U)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause26,axiom,
% 3.73/3.74 ( ~ card(card_Union_sk1(U))
% 3.73/3.74 | card(union(U)) ) ).
% 3.73/3.74
% 3.73/3.74 %----Fin_IntI1 (fin is Fin in Isabelle)
% 3.73/3.74 cnf(clause27,axiom,
% 3.73/3.74 ( ~ member(U,fin(V))
% 3.73/3.74 | member(int(U,W),fin(V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----Fin_IntI2
% 3.73/3.74 cnf(clause28,axiom,
% 3.73/3.74 ( ~ member(U,fin(V))
% 3.73/3.74 | member(int(W,U),fin(V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for Ord_Inter
% 3.73/3.74 cnf(clause29,axiom,
% 3.73/3.74 ( member(order_Inter_sk1(U),U)
% 3.73/3.74 | ord(inter(U)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause30,axiom,
% 3.73/3.74 ( ~ ord(order_Inter_sk1(U))
% 3.73/3.74 | ord(inter(U)) ) ).
% 3.73/3.74
% 3.73/3.74 %----two axioms for Ord_Union
% 3.73/3.74 cnf(clause31,axiom,
% 3.73/3.74 ( member(order_Union_sk1(U),U)
% 3.73/3.74 | ord(union(U)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause32,axiom,
% 3.73/3.74 ( ~ ord(order_Union_sk1(U))
% 3.73/3.74 | ord(union(U)) ) ).
% 3.73/3.74
% 3.73/3.74 %----Ord_Un
% 3.73/3.74 cnf(clause33,axiom,
% 3.73/3.74 ( ~ ord(U)
% 3.73/3.74 | ~ ord(V)
% 3.73/3.74 | ord(un(U,V)) ) ).
% 3.73/3.74
% 3.73/3.74 %----compI (comp is "O")
% 3.73/3.74 cnf(clause34,axiom,
% 3.73/3.74 ( ~ member(pair(U,V),W)
% 3.73/3.74 | ~ member(pair(V,X),Y)
% 3.73/3.74 | member(pair(U,X),comp(Y,W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----vimageI (vimage is "-``")
% 3.73/3.74 cnf(clause35,axiom,
% 3.73/3.74 ( ~ member(pair(U,V),W)
% 3.73/3.74 | ~ member(V,X)
% 3.73/3.74 | member(U,vimage(W,X)) ) ).
% 3.73/3.74
% 3.73/3.74 %----imageI (image is "``")
% 3.73/3.74 cnf(clause36,axiom,
% 3.73/3.74 ( ~ member(pair(U,V),W)
% 3.73/3.74 | ~ member(U,X)
% 3.73/3.74 | member(V,image(W,X)) ) ).
% 3.73/3.74
% 3.73/3.74 %----elim!
% 3.73/3.74 %----QInr_QInl_iff
% 3.73/3.74 cnf(clause37,axiom,
% 3.73/3.74 qInr(U) != qInl(V) ).
% 3.73/3.74
% 3.73/3.74 %----QInl_QInr_iff
% 3.73/3.74 cnf(clause38,axiom,
% 3.73/3.74 qInl(U) != qInr(V) ).
% 3.73/3.74
% 3.73/3.74 %----QInr_inject
% 3.73/3.74 cnf(clause39,axiom,
% 3.73/3.74 ( qInr(U) != qInr(V)
% 3.73/3.74 | U = V ) ).
% 3.73/3.74
% 3.73/3.74 %----QInl_inject
% 3.73/3.74 cnf(clause40,axiom,
% 3.73/3.74 ( qInl(U) != qInl(V)
% 3.73/3.74 | U = V ) ).
% 3.73/3.74
% 3.73/3.74 %----four clauses for axiom qsumE (qsum is "<+>")
% 3.73/3.74 cnf(clause41,axiom,
% 3.73/3.74 ( ~ member(U,qsum(V,W))
% 3.73/3.74 | member(qsumE_sk1(U,V,W),V)
% 3.73/3.74 | member(qsumE_sk2(U,V,W),W) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause42,axiom,
% 3.73/3.74 ( ~ member(U,qsum(V,W))
% 3.73/3.74 | member(qsumE_sk1(U,V,W),V)
% 3.73/3.74 | U = qInr(qsumE_sk2(U,V,W)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause43,axiom,
% 3.73/3.74 ( ~ member(U,qsum(V,W))
% 3.73/3.74 | U = qInl(qsumE_sk1(U,V,W))
% 3.73/3.74 | member(qsumE_sk2(U,V,W),W) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause44,axiom,
% 3.73/3.74 ( ~ member(U,qsum(V,W))
% 3.73/3.74 | U = qInl(qsumE_sk1(U,V,W))
% 3.73/3.74 | U = qInr(qsumE_sk2(U,V,W)) ) ).
% 3.73/3.74
% 3.73/3.74 %----two clauses for qconverseE (qPair is "<-; ->")
% 3.73/3.74 cnf(clause45,axiom,
% 3.73/3.74 ( ~ member(U,qconverse(V))
% 3.73/3.74 | U = qPair(qconverseE_sk2(U,V),qconverseE_sk1(U,V)) ) ).
% 3.73/3.74
% 3.73/3.74 cnf(clause46,axiom,
% 3.73/3.74 ( ~ member(U,qconverse(V))
% 3.73/3.74 | member(qPair(qconverseE_sk1(U,V),qconverseE_sk2(U,V)),V) ) ).
% 3.73/3.74
% 3.73/3.74 %----qconverseD
% 3.73/3.74 cnf(clause47,axiom,
% 3.73/3.74 ( ~ member(qPair(U,V),qconverse(W))
% 3.73/3.75 | member(qPair(V,U),W) ) ).
% 3.73/3.75
% 3.73/3.75 %----QPair_inject1
% 3.73/3.75 cnf(clause48,axiom,
% 3.73/3.75 ( qPair(U,V) != qPair(W,X)
% 3.73/3.75 | U = W ) ).
% 3.73/3.75
% 3.73/3.75 %----QPair_inject2
% 3.73/3.75 cnf(clause49,axiom,
% 3.73/3.75 ( qPair(U,V) != qPair(W,X)
% 3.73/3.75 | V = X ) ).
% 3.73/3.75
% 3.73/3.75 %----succ_natD
% 3.73/3.75 cnf(clause50,axiom,
% 3.73/3.75 ( ~ member(succ(U),nat)
% 3.73/3.75 | member(U,nat) ) ).
% 3.73/3.75
% 3.73/3.75 %----rmultE
% 3.73/3.75 cnf(clause51,axiom,
% 3.73/3.75 ( ~ member(pair(pair(U,V),pair(W,X)),rmult(Y,Z,X1,X2))
% 3.73/3.75 | rmultE_c1(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | rmultE_c2(U,V,W,X,Y,Z,X1,X2) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause52,axiom,
% 3.73/3.75 ( ~ rmultE_c1(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(pair(U,W),Z) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause53,axiom,
% 3.73/3.75 ( ~ rmultE_c1(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(U,Y) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause54,axiom,
% 3.73/3.75 ( ~ rmultE_c1(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(W,Y) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause55,axiom,
% 3.73/3.75 ( ~ rmultE_c1(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(V,X1) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause56,axiom,
% 3.73/3.75 ( ~ rmultE_c1(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(X,X1) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause57,axiom,
% 3.73/3.75 ( ~ rmultE_c2(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(pair(V,X),X2) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause58,axiom,
% 3.73/3.75 ( ~ rmultE_c2(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(W,Y) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause59,axiom,
% 3.73/3.75 ( ~ rmultE_c2(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | U = W ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause60,axiom,
% 3.73/3.75 ( ~ rmultE_c2(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(V,X1) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause61,axiom,
% 3.73/3.75 ( ~ rmultE_c2(U,V,W,X,Y,Z,X1,X2)
% 3.73/3.75 | member(X,X1) ) ).
% 3.73/3.75
% 3.73/3.75 %----radd_Inr_Inl_iff
% 3.73/3.75 cnf(clause62,axiom,
% 3.73/3.75 ~ member(pair(inr(U),inl(V)),radd(W,X,Y,Z)) ).
% 3.73/3.75
% 3.73/3.75 %----three clauses for radd_Inr_iff (direction: LHS->RHS)
% 3.73/3.75 cnf(clause63,axiom,
% 3.73/3.75 ( ~ member(pair(inr(U),inr(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(U,Y) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause64,axiom,
% 3.73/3.75 ( ~ member(pair(inr(U),inr(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(V,Y) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause65,axiom,
% 3.73/3.75 ( ~ member(pair(inr(U),inr(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(pair(U,V),Z) ) ).
% 3.73/3.75
% 3.73/3.75 %----three clauses for radd_Inl_iff (direction: LHS->RHS)
% 3.73/3.75 cnf(clause66,axiom,
% 3.73/3.75 ( ~ member(pair(inl(U),inl(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause67,axiom,
% 3.73/3.75 ( ~ member(pair(inl(U),inl(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(V,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause68,axiom,
% 3.73/3.75 ( ~ member(pair(inl(U),inl(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(pair(U,V),X) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for radd_Inl_Inr_iff (direction: lHS->RHS)
% 3.73/3.75 cnf(clause69,axiom,
% 3.73/3.75 ( ~ member(pair(inl(U),inr(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause70,axiom,
% 3.73/3.75 ( ~ member(pair(inl(U),inr(V)),radd(W,X,Y,Z))
% 3.73/3.75 | member(V,Y) ) ).
% 3.73/3.75
% 3.73/3.75 %----succ_leE (le is "<=", lt is "<")
% 3.73/3.75 cnf(clause71,axiom,
% 3.73/3.75 ( ~ le(succ(U),V)
% 3.73/3.75 | lt(U,V) ) ).
% 3.73/3.75
% 3.73/3.75 %----zero_le_succ_iff (direction: LHS->RHS),(zero is represented as eptset here)
% 3.73/3.75 cnf(clause72,axiom,
% 3.73/3.75 ( ~ le(eptset,succ(U))
% 3.73/3.75 | ord(U) ) ).
% 3.73/3.75
% 3.73/3.75 %----three clauses for MemrelE
% 3.73/3.75 cnf(clause73,axiom,
% 3.73/3.75 ( ~ member(pair(U,V),memrel(W))
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause74,axiom,
% 3.73/3.75 ( ~ member(pair(U,V),memrel(W))
% 3.73/3.75 | member(V,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause75,axiom,
% 3.73/3.75 ( ~ member(pair(U,V),memrel(W))
% 3.73/3.75 | member(U,V) ) ).
% 3.73/3.75
% 3.73/3.75 %----le0D (zero is represented as eptset)
% 3.73/3.75 cnf(clause76,axiom,
% 3.73/3.75 ( ~ le(U,eptset)
% 3.73/3.75 | U = eptset ) ).
% 3.73/3.75
% 3.73/3.75 %----le_refl_iff (direction: LHS->RHS)
% 3.73/3.75 cnf(clause77,axiom,
% 3.73/3.75 ( ~ le(U,U)
% 3.73/3.75 | ord(U) ) ).
% 3.73/3.75
% 3.73/3.75 %----Ord_succ_iff (direction: LHS->RHS)
% 3.73/3.75 cnf(clause78,axiom,
% 3.73/3.75 ( ~ ord(succ(U))
% 3.73/3.75 | ord(U) ) ).
% 3.73/3.75
% 3.73/3.75 %----three clauses for compE
% 3.73/3.75 cnf(clause79,axiom,
% 3.73/3.75 ( ~ member(U,comp(V,W))
% 3.73/3.75 | U = pair(compE_sk1(U,V,W),compE_sk3(U,V,W)) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause80,axiom,
% 3.73/3.75 ( ~ member(U,comp(V,W))
% 3.73/3.75 | member(pair(compE_sk1(U,V,W),compE_sk2(U,V,W)),W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause81,axiom,
% 3.73/3.75 ( ~ member(U,comp(V,W))
% 3.73/3.75 | member(pair(compE_sk2(U,V,W),compE_sk3(U,V,W)),V) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for idE
% 3.73/3.75 cnf(clause82,axiom,
% 3.73/3.75 ( ~ member(U,id(V))
% 3.73/3.75 | member(idE_sk1(U,V),V) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause83,axiom,
% 3.73/3.75 ( ~ member(U,id(V))
% 3.73/3.75 | U = pair(idE_sk1(U,V),idE_sk1(U,V)) ) ).
% 3.73/3.75
% 3.73/3.75 %----Inr_Inl_iff
% 3.73/3.75 cnf(clause84,axiom,
% 3.73/3.75 inr(U) != inl(V) ).
% 3.73/3.75
% 3.73/3.75 %----Inl_Inr_iff
% 3.73/3.75 cnf(clause85,axiom,
% 3.73/3.75 inl(U) != inr(V) ).
% 3.73/3.75
% 3.73/3.75 %----Inr_iff (direction: LHS->RHS)
% 3.73/3.75 cnf(clause86,axiom,
% 3.73/3.75 ( inr(U) != inr(V)
% 3.73/3.75 | U = V ) ).
% 3.73/3.75
% 3.73/3.75 %----Inl_iff
% 3.73/3.75 cnf(clause87,axiom,
% 3.73/3.75 ( inl(U) != inl(V)
% 3.73/3.75 | U = V ) ).
% 3.73/3.75
% 3.73/3.75 %----four clauses for sumE (disjsum is "+")
% 3.73/3.75 cnf(clause88,axiom,
% 3.73/3.75 ( ~ member(U,disjsum(V,W))
% 3.73/3.75 | member(sumE_sk1(U,V,W),V)
% 3.73/3.75 | member(sumE_sk2(U,V,W),W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause89,axiom,
% 3.73/3.75 ( ~ member(U,disjsum(V,W))
% 3.73/3.75 | member(sumE_sk1(U,V,W),V)
% 3.73/3.75 | U = inr(sumE_sk2(U,V,W)) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause90,axiom,
% 3.73/3.75 ( ~ member(U,disjsum(V,W))
% 3.73/3.75 | U = inl(sumE_sk1(U,V,W))
% 3.73/3.75 | member(sumE_sk2(U,V,W),W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause91,axiom,
% 3.73/3.75 ( ~ member(U,disjsum(V,W))
% 3.73/3.75 | U = inl(sumE_sk1(U,V,W))
% 3.73/3.75 | U = inr(sumE_sk2(U,V,W)) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for vimageE
% 3.73/3.75 cnf(clause92,axiom,
% 3.73/3.75 ( ~ member(U,vimage(V,W))
% 3.73/3.75 | member(pair(U,vimageE_sk1(U,V,W)),V) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause93,axiom,
% 3.73/3.75 ( ~ member(U,vimage(V,W))
% 3.73/3.75 | member(vimageE_sk1(U,V,W),W) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for imageE
% 3.73/3.75 cnf(clause94,axiom,
% 3.73/3.75 ( ~ member(U,image(V,W))
% 3.73/3.75 | member(pair(imageE_sk1(U,V,W),U),V) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause95,axiom,
% 3.73/3.75 ( ~ member(U,image(V,W))
% 3.73/3.75 | member(imageE_sk1(U,V,W),W) ) ).
% 3.73/3.75
% 3.73/3.75 %----fieldE
% 3.73/3.75 cnf(clause96,axiom,
% 3.73/3.75 ( ~ member(U,field(V))
% 3.73/3.75 | member(pair(U,fieldE_sk1(U,V)),V)
% 3.73/3.75 | member(pair(fieldE_sk2(U,V),U),V) ) ).
% 3.73/3.75
% 3.73/3.75 %----rangeE
% 3.73/3.75 cnf(clause97,axiom,
% 3.73/3.75 ( ~ member(U,range(V))
% 3.73/3.75 | member(pair(rangeE_sk1(U,V),U),V) ) ).
% 3.73/3.75
% 3.73/3.75 %----domainE
% 3.73/3.75 cnf(clause98,axiom,
% 3.73/3.75 ( ~ member(U,domain(V))
% 3.73/3.75 | member(pair(U,domainE_sk1(U,V)),V) ) ).
% 3.73/3.75
% 3.73/3.75 %----four clauses for cons_subsetE
% 3.73/3.75 cnf(clause99,axiom,
% 3.73/3.75 ( member(cons_subsetE_sk1(U,V,W),cons(U,V))
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause100,axiom,
% 3.73/3.75 ( ~ member(cons_subsetE_sk1(U,V,W),W)
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause101,axiom,
% 3.73/3.75 ( ~ member(U,V)
% 3.73/3.75 | member(cons_subsetE_sk1(W,V,X),cons(W,V))
% 3.73/3.75 | member(U,X) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause102,axiom,
% 3.73/3.75 ( ~ member(cons_subsetE_sk1(U,V,W),W)
% 3.73/3.75 | ~ member(X,V)
% 3.73/3.75 | member(X,W) ) ).
% 3.73/3.75
% 3.73/3.75 %----another version of cons_subsetE
% 3.73/3.75 cnf(clause102_1,axiom,
% 3.73/3.75 ( ~ subset(cons(A,B),C)
% 3.73/3.75 | member(A,C) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause102_2,axiom,
% 3.73/3.75 ( ~ subset(cons(A,B),C)
% 3.73/3.75 | subset(B,C) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for converseE
% 3.73/3.75 cnf(clause103,axiom,
% 3.73/3.75 ( ~ member(U,converse(V))
% 3.73/3.75 | U = pair(converseE_sk2(U,V),converseE_sk1(U,V)) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause104,axiom,
% 3.73/3.75 ( ~ member(U,converse(V))
% 3.73/3.75 | member(pair(converseE_sk1(U,V),converseE_sk2(U,V)),V) ) ).
% 3.73/3.75
% 3.73/3.75 %----converseD
% 3.73/3.75 cnf(clause105,axiom,
% 3.73/3.75 ( ~ member(pair(U,V),converse(W))
% 3.73/3.75 | member(pair(V,U),W) ) ).
% 3.73/3.75
% 3.73/3.75 %----Pair_inject1
% 3.73/3.75 cnf(clause106,axiom,
% 3.73/3.75 ( pair(U,V) != pair(W,X)
% 3.73/3.75 | U = W ) ).
% 3.73/3.75
% 3.73/3.75 %----Pair_inject2
% 3.73/3.75 cnf(clause107,axiom,
% 3.73/3.75 ( pair(U,V) != pair(W,X)
% 3.73/3.75 | V = X ) ).
% 3.73/3.75
% 3.73/3.75 %----singleton_eq_iff (direction: LHS->RHS)
% 3.73/3.75 cnf(clause108,axiom,
% 3.73/3.75 ( cons(U,eptset) != cons(V,eptset)
% 3.73/3.75 | U = V ) ).
% 3.73/3.75
% 3.73/3.75 %----succ_inject
% 3.73/3.75 cnf(clause109,axiom,
% 3.73/3.75 ( succ(U) != succ(V)
% 3.73/3.75 | U = V ) ).
% 3.73/3.75
% 3.73/3.75 %----succE
% 3.73/3.75 cnf(clause110,axiom,
% 3.73/3.75 ( ~ member(U,succ(V))
% 3.73/3.75 | U = V
% 3.73/3.75 | member(U,V) ) ).
% 3.73/3.75
% 3.73/3.75 %----singletonE
% 3.73/3.75 cnf(clause111,axiom,
% 3.73/3.75 ( ~ member(U,cons(V,eptset))
% 3.73/3.75 | U = V ) ).
% 3.73/3.75
% 3.73/3.75 %----consE
% 3.73/3.75 cnf(clause112,axiom,
% 3.73/3.75 ( ~ member(U,cons(V,W))
% 3.73/3.75 | U = V
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 %----DiffD1
% 3.73/3.75 cnf(clause113,axiom,
% 3.73/3.75 ( ~ member(U,diff(V,W))
% 3.73/3.75 | member(U,V) ) ).
% 3.73/3.75
% 3.73/3.75 %----DiffD2
% 3.73/3.75 cnf(clause114,axiom,
% 3.73/3.75 ( ~ member(U,diff(V,W))
% 3.73/3.75 | ~ member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 %----IntD1
% 3.73/3.75 cnf(clause115,axiom,
% 3.73/3.75 ( ~ member(U,int(V,W))
% 3.73/3.75 | member(U,V) ) ).
% 3.73/3.75
% 3.73/3.75 %----IntD2
% 3.73/3.75 cnf(clause116,axiom,
% 3.73/3.75 ( ~ member(U,int(V,W))
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 %----UnE
% 3.73/3.75 cnf(clause117,axiom,
% 3.73/3.75 ( ~ member(U,un(V,W))
% 3.73/3.75 | member(U,V)
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 %----PowD
% 3.73/3.75 cnf(clause118,axiom,
% 3.73/3.75 ( ~ member(U,pow(V))
% 3.73/3.75 | ~ member(W,U)
% 3.73/3.75 | member(W,V) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for UnionE
% 3.73/3.75 cnf(clause119,axiom,
% 3.73/3.75 ( ~ member(U,union(V))
% 3.73/3.75 | member(U,unionE_sk1(U,V)) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause120,axiom,
% 3.73/3.75 ( ~ member(U,union(V))
% 3.73/3.75 | member(unionE_sk1(U,V),V) ) ).
% 3.73/3.75
% 3.73/3.75 %----elim
% 3.73/3.75 %----equals0D
% 3.73/3.75 cnf(clause121,axiom,
% 3.73/3.75 ( U != eptset
% 3.73/3.75 | ~ member(V,U) ) ).
% 3.73/3.75
% 3.73/3.75 %----InterD
% 3.73/3.75 cnf(clause122,axiom,
% 3.73/3.75 ( ~ member(U,inter(V))
% 3.73/3.75 | ~ member(W,V)
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for subsetD
% 3.73/3.75 %----subset relation is represented by membership relation
% 3.73/3.75 cnf(clause123,axiom,
% 3.73/3.75 ( ~ member(U,V)
% 3.73/3.75 | member(subsetD_sk1(V,W,U),V)
% 3.73/3.75 | member(U,W) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause124,axiom,
% 3.73/3.75 ( ~ member(subsetD_sk1(U,V,W),V)
% 3.73/3.75 | ~ member(W,U)
% 3.73/3.75 | member(W,V) ) ).
% 3.73/3.75
% 3.73/3.75 %----another version of subsetD
% 3.73/3.75 cnf(subsetD,axiom,
% 3.73/3.75 ( ~ subset(A,B)
% 3.73/3.75 | ~ member(C,A)
% 3.73/3.75 | member(C,B) ) ).
% 3.73/3.75
% 3.73/3.75 %----two clauses for fieldCI
% 3.73/3.75 cnf(clause125,axiom,
% 3.73/3.75 ( ~ member(pair(C,A),R)
% 3.73/3.75 | member(A,field(R)) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause126,axiom,
% 3.73/3.75 ( ~ member(pair(A,B),R)
% 3.73/3.75 | member(A,field(R)) ) ).
% 3.73/3.75
% 3.73/3.75 %----Pair_neq_0
% 3.73/3.75 cnf(clause127,axiom,
% 3.73/3.75 pair(A,B) != eptset ).
% 3.73/3.75
% 3.73/3.75 %----Pair_neq_fst
% 3.73/3.75 cnf(clause128,axiom,
% 3.73/3.75 pair(A,B) != A ).
% 3.73/3.75
% 3.73/3.75 %----Pair_neq_snd
% 3.73/3.75 cnf(clause129,axiom,
% 3.73/3.75 pair(A,B) != B ).
% 3.73/3.75
% 3.73/3.75 %----ABOUT SUBSET RELATION.
% 3.73/3.75 %----two clauses for subsetI
% 3.73/3.75 cnf(clause131,axiom,
% 3.73/3.75 ( member(subsetI_sk1(A,B),A)
% 3.73/3.75 | subset(A,B) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(clause132,axiom,
% 3.73/3.75 ( ~ member(subsetI_sk1(A,B),B)
% 3.73/3.75 | subset(A,B) ) ).
% 3.73/3.75
% 3.73/3.75 %----subset_refl
% 3.73/3.75 cnf(clause133,axiom,
% 3.73/3.75 subset(A,A) ).
% 3.73/3.75
% 3.73/3.75 %----subset_trans
% 3.73/3.75 cnf(clause134,axiom,
% 3.73/3.75 ( ~ subset(A,B)
% 3.73/3.75 | ~ subset(B,C)
% 3.73/3.75 | subset(A,C) ) ).
% 3.73/3.75
% 3.73/3.75 %----empty_subsetI
% 3.73/3.75 cnf(clause135,axiom,
% 3.73/3.75 ( ~ member(X,eptset)
% 3.73/3.75 | member(X,A) ) ).
% 3.73/3.75
% 3.73/3.75 %----another version of empty_subsetI
% 3.73/3.75 cnf(clause136,axiom,
% 3.73/3.75 subset(eptset,A) ).
% 3.73/3.75
% 3.73/3.75 %----equalityI
% 3.73/3.75 cnf(clause148,axiom,
% 3.73/3.75 ( ~ subset(A,B)
% 3.73/3.75 | ~ subset(B,A)
% 3.73/3.75 | A = B ) ).
% 3.73/3.75
% 3.73/3.75 %----equalityD1
% 3.73/3.75 cnf(clause149,axiom,
% 3.73/3.75 ( A != B
% 3.73/3.75 | subset(A,B) ) ).
% 3.73/3.75
% 3.73/3.75 %----equalityD2
% 3.73/3.75 cnf(clause150,axiom,
% 3.73/3.75 ( A != B
% 3.73/3.75 | subset(B,A) ) ).
% 3.73/3.75
% 3.73/3.75 %----axioms from CombZF.thy.
% 3.73/3.75 %----free algebra for K, S, comb_app(P,Q).
% 3.73/3.75
% 3.73/3.75 cnf(k_s,axiom,
% 3.73/3.75 combK != combS ).
% 3.73/3.75
% 3.73/3.75 cnf(k_app,axiom,
% 3.73/3.75 combK != comb_app(P,Q) ).
% 3.73/3.75
% 3.73/3.75 cnf(s_app,axiom,
% 3.73/3.75 combS != comb_app(P,Q) ).
% 3.73/3.75
% 3.73/3.75 cnf(app_app1,axiom,
% 3.73/3.75 ( comb_app(P1,Q1) != comb_app(P2,Q2)
% 3.73/3.75 | P1 = P2 ) ).
% 3.73/3.75
% 3.73/3.75 cnf(app_app2,axiom,
% 3.73/3.75 ( comb_app(P1,Q1) != comb_app(P2,Q2)
% 3.73/3.75 | Q1 = Q2 ) ).
% 3.73/3.75
% 3.73/3.75 cnf(app_app3,axiom,
% 3.73/3.75 ( P1 != P2
% 3.73/3.75 | Q1 != Q2
% 3.73/3.75 | comb_app(P1,Q1) = comb_app(P2,Q2) ) ).
% 3.73/3.75
% 3.73/3.75 %----add in Ap_E.
% 3.73/3.75 cnf(ap_E1,axiom,
% 3.73/3.75 ( ~ member(comb_app(P,Q),comb)
% 3.73/3.75 | member(P,comb) ) ).
% 3.73/3.75
% 3.73/3.75 cnf(ap_E2,axiom,
% 3.73/3.75 ( ~ member(comb_app(P,Q),comb)
% 3.73/3.75 | member(Q,comb) ) ).
% 3.73/3.75
% 3.73/3.75 %----add in comb.intros(three of them).
% 3.73/3.75 cnf(comb_intros1,axiom,
% 3.73/3.75 member(combK,comb) ).
% 3.73/3.75
% 3.73/3.75 cnf(comb_intros2,axiom,
% 3.73/3.75 member(combS,comb) ).
% 3.73/3.75
% 3.73/3.75 cnf(comb_intros3,axiom,
% 3.73/3.75 ( ~ member(P,comb)
% 3.73/3.75 | ~ member(Q,comb)
% 3.73/3.75 | member(comb_app(P,Q),comb) ) ).
% 3.73/3.75
% 3.73/3.75 %----add in reduction_refl [intro!]:
% 3.73/3.75 cnf(reduction_refl,axiom,
% 3.73/3.75 ( ~ member(A,comb)
% 3.73/3.75 | member(pair(A,A),rtrancl(contract)) ) ).
% 3.73/3.75
% 3.73/3.75 %----add in contract.K
% 3.73/3.75 cnf(contract_K,axiom,
% 3.73/3.75 ( ~ member(P,comb)
% 3.73/3.75 | ~ member(Q,comb)
% 3.73/3.75 | member(pair(comb_app(comb_app(combK,P),Q),P),contract) ) ).
% 3.73/3.75
% 3.73/3.75 %----add in contract.S
% 3.73/3.75 cnf(contract_S,axiom,
% 3.73/3.75 ( ~ member(P,comb)
% 3.73/3.75 | ~ member(Q,comb)
% 3.73/3.75 | ~ member(R,comb)
% 3.73/3.76 | member(pair(comb_app(comb_app(comb_app(combS,P),Q),R),comb_app(comb_app(P,R),comb_app(Q,R))),contract) ) ).
% 3.73/3.76
% 3.73/3.76 %----this manually rename the formula Ap_contractE
% 3.73/3.76 cnf(ap_contractE1,axiom,
% 3.73/3.76 ( ~ member(pair(comb_app(P,Q),R),contract)
% 3.73/3.76 | ap_contractE_c1(P,Q,R)
% 3.73/3.76 | ap_contractE_c2(P,Q,R)
% 3.73/3.76 | ap_contractE_c3(P,Q,R)
% 3.73/3.76 | ap_contractE_c4(P,Q,R) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE2,axiom,
% 3.73/3.76 ( ~ ap_contractE_c1(P,Q,R)
% 3.73/3.76 | member(R,comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE3,axiom,
% 3.73/3.76 ( ~ ap_contractE_c1(P,Q,R)
% 3.73/3.76 | member(Q,comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE4,axiom,
% 3.73/3.76 ( ~ ap_contractE_c1(P,Q,R)
% 3.73/3.76 | P = comb_app(combK,R) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE5,axiom,
% 3.73/3.76 ( ~ ap_contractE_c2(P,Q,R)
% 3.73/3.76 | member(ap_contractE_sk1p(P,Q,R),comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE6,axiom,
% 3.73/3.76 ( ~ ap_contractE_c2(P,Q,R)
% 3.73/3.76 | member(ap_contractE_sk1q(P,Q,R),comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE7,axiom,
% 3.73/3.76 ( ~ ap_contractE_c2(P,Q,R)
% 3.73/3.76 | member(Q,comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE8,axiom,
% 3.73/3.76 ( ~ ap_contractE_c2(P,Q,R)
% 3.73/3.76 | R = comb_app(comb_app(ap_contractE_sk1p(P,Q,R),Q),comb_app(ap_contractE_sk1q(P,Q,R),Q)) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE9,axiom,
% 3.73/3.76 ( ~ ap_contractE_c2(P,Q,R)
% 3.73/3.76 | P = comb_app(comb_app(combS,ap_contractE_sk1p(P,Q,R)),ap_contractE_sk1q(P,Q,R)) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE10,axiom,
% 3.73/3.76 ( ~ ap_contractE_c3(P,Q,R)
% 3.73/3.76 | member(pair(P,ap_contractE_sk2q(P,Q,R)),contract) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE11,axiom,
% 3.73/3.76 ( ~ ap_contractE_c3(P,Q,R)
% 3.73/3.76 | member(Q,comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE12,axiom,
% 3.73/3.76 ( ~ ap_contractE_c3(P,Q,R)
% 3.73/3.76 | R = comb_app(ap_contractE_sk2q(P,Q,R),Q) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE13,axiom,
% 3.73/3.76 ( ~ ap_contractE_c4(P,Q,R)
% 3.73/3.76 | member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE14,axiom,
% 3.73/3.76 ( ~ ap_contractE_c4(P,Q,R)
% 3.73/3.76 | member(P,comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_contractE15,axiom,
% 3.73/3.76 ( ~ ap_contractE_c4(P,Q,R)
% 3.73/3.76 | R = comb_app(P,ap_contractE_sk3q(P,Q,R)) ) ).
% 3.73/3.76
% 3.73/3.76 %----add in K_contractE[elim!]:
% 3.73/3.76 cnf(k_contractE,axiom,
% 3.73/3.76 ~ member(pair(combK,R),contract) ).
% 3.73/3.76
% 3.73/3.76 %----add in S_contractE [elim!]:
% 3.73/3.76 %----converted by tptp2X(Ap_contractE+cls_otter.tptp)
% 3.73/3.76 cnf(s_contractE,axiom,
% 3.73/3.76 ~ member(pair(combS,R),contract) ).
% 3.73/3.76
% 3.73/3.76 %----second subgoal
% 3.73/3.76 %----local axioms: transD,trans_rtrancl,contract_combD2,reduction_rls
% 3.73/3.76 cnf(transD,axiom,
% 3.73/3.76 ( ~ trans(R)
% 3.73/3.76 | ~ member(pair(A,B),R)
% 3.73/3.76 | ~ member(pair(B,C),R)
% 3.73/3.76 | member(pair(A,C),R) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(trans_rtrancl,axiom,
% 3.73/3.76 trans(rtrancl(R)) ).
% 3.73/3.76
% 3.73/3.76 cnf(contract_combD2,axiom,
% 3.73/3.76 ( ~ member(pair(A,B),contract)
% 3.73/3.76 | member(B,comb) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(reduction_rls_1,axiom,
% 3.73/3.76 ( ~ member(B,comb)
% 3.73/3.76 | ~ member(Q3,comb)
% 3.73/3.76 | ~ member(pair(B,C),rtrancl(contract))
% 3.73/3.76 | member(pair(comb_app(comb_app(combK,B),Q3),C),rtrancl(contract)) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(reduction_rls_2,axiom,
% 3.73/3.76 ( ~ member(P3,comb)
% 3.73/3.76 | ~ member(Q3,comb)
% 3.73/3.76 | ~ member(R3,comb)
% 3.73/3.76 | ~ member(pair(comb_app(comb_app(P3,R3),comb_app(Q3,R3)),C),rtrancl(contract))
% 3.73/3.76 | member(pair(comb_app(comb_app(comb_app(combS,P3),Q3),R3),C),rtrancl(contract)) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(reduction_rls_3,axiom,
% 3.73/3.76 ( ~ member(pair(P3,Q3),contract)
% 3.73/3.76 | ~ member(R3,comb)
% 3.73/3.76 | ~ member(pair(comb_app(Q3,R3),C),rtrancl(contract))
% 3.73/3.76 | member(pair(comb_app(P3,R3),C),rtrancl(contract)) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(reduction_rls_4,axiom,
% 3.73/3.76 ( ~ member(pair(P3,Q3),contract)
% 3.73/3.76 | ~ member(R3,comb)
% 3.73/3.76 | ~ member(pair(comb_app(R3,Q3),C),rtrancl(contract))
% 3.73/3.76 | member(pair(comb_app(R3,P3),C),rtrancl(contract)) ) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_reduce1_2h1,hypothesis,
% 3.73/3.76 member(r,comb) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_reduce1_2h2,hypothesis,
% 3.73/3.76 member(p,comb) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_reduce1_2h3,hypothesis,
% 3.73/3.76 member(pair(p,y),rtrancl(contract)) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_reduce1_2h4,hypothesis,
% 3.73/3.76 member(pair(y,z),contract) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_reduce1_2h5,hypothesis,
% 3.73/3.76 member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)) ).
% 3.73/3.76
% 3.73/3.76 cnf(ap_reduce1_2c1,negated_conjecture,
% 3.73/3.76 ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)) ).
% 3.73/3.76
% 3.73/3.76 %--------------------------------------------------------------------------
% 3.73/3.76 %-------------------------------------------
% 3.73/3.76 % Proof found
% 3.73/3.76 % SZS status Theorem for theBenchmark
% 3.73/3.76 % SZS output start Proof
% 3.73/3.76 %ClaNum:350(EqnAxiom:168)
% 3.73/3.76 %VarNum:1059(SingletonVarNum:526)
% 3.73/3.76 %MaxLitNum:5
% 3.73/3.76 %MaxfuncDepth:4
% 3.73/3.76 %SharedTerms:27
% 3.73/3.76 %goalClause: 193
% 3.73/3.76 %singleGoalClaCount:1
% 3.73/3.76 [170]P2(a2,a3)
% 3.73/3.76 [171]P2(a9,a3)
% 3.73/3.76 [172]P2(a10,a3)
% 3.73/3.76 [173]P2(a11,a3)
% 3.73/3.76 [181]~E(a9,a2)
% 3.73/3.76 [176]P2(f46(a62,a73),a13)
% 3.73/3.76 [178]P2(f46(a11,a62),f1(a13))
% 3.73/3.76 [180]P2(f46(f15(a11,a10),f15(a62,a10)),f1(a13))
% 3.73/3.76 [193]~P2(f46(f15(a11,a10),f15(a73,a10)),f1(a13))
% 3.73/3.76 [174]P10(a12,x1741)
% 3.73/3.76 [175]P10(x1751,x1751)
% 3.73/3.76 [169]P1(f1(x1691))
% 3.73/3.76 [191]~P2(f46(a2,x1911),a13)
% 3.73/3.76 [192]~P2(f46(a9,x1921),a13)
% 3.73/3.76 [179]P2(x1791,f14(x1791,x1792))
% 3.73/3.76 [183]~E(f29(x1831),f38(x1832))
% 3.73/3.76 [185]~E(f47(x1851),f50(x1852))
% 3.73/3.76 [186]~E(f15(x1861,x1862),a2)
% 3.73/3.76 [187]~E(f15(x1871,x1872),a9)
% 3.73/3.76 [188]~E(f46(x1881,x1882),a12)
% 3.73/3.76 [189]~E(f46(x1891,x1892),x1892)
% 3.73/3.76 [190]~E(f46(x1901,x1902),x1901)
% 3.73/3.76 [194]~P2(f46(f38(x1941),f29(x1942)),f58(x1943,x1944,x1945,x1946))
% 3.73/3.76 [203]~P3(x2031,a12)+E(x2031,a12)
% 3.73/3.76 [206]~P3(x2061,x2061)+P11(x2061)
% 3.73/3.76 [202]P11(x2021)+~P11(f63(x2021))
% 3.73/3.76 [207]~P4(f4(x2071))+P4(f66(x2071))
% 3.73/3.76 [208]~P11(f41(x2081))+P11(f39(x2081))
% 3.73/3.76 [209]~P11(f45(x2091))+P11(f66(x2091))
% 3.73/3.76 [210]P2(f4(x2101),x2101)+P4(f66(x2101))
% 3.73/3.76 [211]P2(f41(x2111),x2111)+P11(f39(x2111))
% 3.73/3.76 [212]P2(f45(x2121),x2121)+P11(f66(x2121))
% 3.73/3.76 [213]P11(x2131)+~P3(a12,f63(x2131))
% 3.73/3.76 [215]~P2(x2151,a42)+P2(f63(x2151),a42)
% 3.73/3.76 [217]P2(x2171,a42)+~P2(f63(x2171),a42)
% 3.73/3.76 [239]~P2(x2391,a3)+P2(f46(x2391,x2391),f1(a13))
% 3.73/3.76 [200]~E(x2002,x2001)+P10(x2001,x2002)
% 3.73/3.76 [201]~E(x2011,x2012)+P10(x2011,x2012)
% 3.73/3.76 [205]~P2(x2052,x2051)+~E(x2051,a12)
% 3.73/3.76 [214]P2(x2141,x2142)+~P2(x2141,a12)
% 3.73/3.76 [195]E(x1951,x1952)+~E(f63(x1951),f63(x1952))
% 3.73/3.76 [196]E(x1961,x1962)+~E(f38(x1961),f38(x1962))
% 3.73/3.76 [197]E(x1971,x1972)+~E(f29(x1971),f29(x1972))
% 3.73/3.76 [198]E(x1981,x1982)+~E(f50(x1981),f50(x1982))
% 3.73/3.76 [199]E(x1991,x1992)+~E(f47(x1991),f47(x1992))
% 3.73/3.76 [204]~E(x2041,x2042)+P2(x2041,f63(x2042))
% 3.73/3.76 [216]E(x2161,x2162)+~E(f14(x2161,a12),f14(x2162,a12))
% 3.73/3.76 [218]~P2(x2181,x2182)+P2(x2181,f63(x2182))
% 3.73/3.76 [227]P9(x2271,x2272)+~P3(f63(x2271),x2272)
% 3.73/3.76 [230]P10(x2301,x2302)+P2(f64(x2301,x2302),x2301)
% 3.73/3.76 [233]P2(f49(x2331,x2332),x2331)+P2(x2331,f48(x2332))
% 3.73/3.76 [234]E(x2341,x2342)+~P2(x2341,f14(x2342,a12))
% 3.73/3.76 [244]~P2(x2441,f66(x2442))+P2(x2441,f70(x2441,x2442))
% 3.73/3.76 [245]~P2(x2451,f31(x2452))+P2(f30(x2451,x2452),x2452)
% 3.73/3.76 [246]~P2(x2461,f66(x2462))+P2(f70(x2461,x2462),x2462)
% 3.73/3.76 [247]P2(x2471,a3)+~P2(f46(x2472,x2471),a13)
% 3.73/3.76 [248]P2(x2481,a3)+~P2(f15(x2482,x2481),a3)
% 3.73/3.76 [249]P2(x2491,a3)+~P2(f15(x2491,x2492),a3)
% 3.73/3.76 [256]P10(x2561,x2562)+~P2(f64(x2561,x2562),x2562)
% 3.73/3.76 [263]~P2(f49(x2631,x2632),x2632)+P2(x2631,f48(x2632))
% 3.73/3.76 [277]~P2(x2771,f31(x2772))+E(f46(f30(x2771,x2772),f30(x2771,x2772)),x2771)
% 3.73/3.76 [278]~P2(x2781,f26(x2782))+E(f46(f24(x2781,x2782),f25(x2781,x2782)),x2781)
% 3.73/3.76 [279]~P2(x2791,f54(x2792))+E(f51(f52(x2791,x2792),f53(x2791,x2792)),x2791)
% 3.73/3.76 [285]~P2(x2851,f28(x2852))+P2(f46(x2851,f27(x2851,x2852)),x2852)
% 3.73/3.76 [286]~P2(x2861,f60(x2862))+P2(f46(f59(x2861,x2862),x2861),x2862)
% 3.73/3.76 [292]~P2(x2921,f26(x2922))+P2(f46(f25(x2921,x2922),f24(x2921,x2922)),x2922)
% 3.73/3.76 [293]~P2(x2931,f54(x2932))+P2(f51(f53(x2931,x2932),f52(x2931,x2932)),x2932)
% 3.73/3.76 [272]~P5(x2722,x2723,x2721)+P2(x2721,a3)
% 3.73/3.76 [273]~P5(x2732,x2731,x2733)+P2(x2731,a3)
% 3.73/3.76 [274]~P6(x2742,x2741,x2743)+P2(x2741,a3)
% 3.73/3.76 [275]~P7(x2752,x2751,x2753)+P2(x2751,a3)
% 3.73/3.76 [276]~P8(x2761,x2762,x2763)+P2(x2761,a3)
% 3.73/3.76 [219]~E(x2191,x2192)+P2(x2191,f14(x2192,x2193))
% 3.73/3.76 [236]~P2(x2361,x2363)+P2(x2361,f14(x2362,x2363))
% 3.73/3.76 [237]~P2(x2371,x2373)+P2(x2371,f67(x2372,x2373))
% 3.73/3.76 [238]~P2(x2381,x2382)+P2(x2381,f67(x2382,x2383))
% 3.73/3.76 [240]~P2(x2401,x2403)+P2(f38(x2401),f22(x2402,x2403))
% 3.73/3.76 [241]~P2(x2411,x2412)+P2(f29(x2411),f22(x2412,x2413))
% 3.73/3.76 [251]P2(x2511,x2512)+~P2(x2511,f40(x2513,x2512))
% 3.73/3.76 [252]P2(x2521,x2522)+~P2(x2521,f23(x2522,x2523))
% 3.73/3.76 [253]P2(x2531,x2532)+~P2(x2531,f40(x2532,x2533))
% 3.73/3.76 [254]P2(x2541,x2542)+~P10(f14(x2541,x2543),x2542)
% 3.73/3.76 [255]P10(x2551,x2552)+~P10(f14(x2553,x2551),x2552)
% 3.73/3.76 [257]P2(f40(x2571,x2572),f32(x2573))+~P2(x2572,f32(x2573))
% 3.73/3.76 [258]P2(f40(x2581,x2582),f32(x2583))+~P2(x2581,f32(x2583))
% 3.73/3.76 [262]P2(x2621,f33(x2622))+~P2(f46(x2623,x2621),x2622)
% 3.73/3.76 [264]P2(x2641,f33(x2642))+~P2(f46(x2641,x2643),x2642)
% 3.73/3.76 [267]~P2(x2671,x2672)+~P2(x2671,f23(x2673,x2672))
% 3.73/3.76 [268]P2(x2681,x2682)+~P2(f46(x2683,x2681),f44(x2682))
% 3.73/3.76 [269]P2(x2691,x2692)+~P2(f46(x2691,x2693),f44(x2692))
% 3.73/3.76 [270]P2(x2701,x2702)+~P2(f46(x2701,x2702),f44(x2703))
% 3.73/3.76 [280]~P5(x2801,x2803,x2802)+E(x2801,f15(a2,x2802))
% 3.73/3.76 [282]~P2(f46(x2822,x2821),x2823)+P2(f46(x2821,x2822),f26(x2823))
% 3.73/3.76 [283]~P2(f46(x2832,x2831),f26(x2833))+P2(f46(x2831,x2832),x2833)
% 3.73/3.76 [284]~P2(f51(x2842,x2841),f54(x2843))+P2(f51(x2841,x2842),x2843)
% 3.73/3.76 [290]P2(x2901,x2902)+P2(f20(x2901,x2903,x2902),f14(x2901,x2903))
% 3.73/3.76 [295]~P2(x2951,f71(x2952,x2953))+P2(f72(x2951,x2952,x2953),x2953)
% 3.73/3.76 [296]~P2(x2961,f36(x2962,x2963))+P2(f37(x2961,x2962,x2963),x2963)
% 3.73/3.76 [298]P2(x2981,x2982)+~P2(f20(x2981,x2983,x2982),x2982)
% 3.73/3.76 [299]~P6(x2991,x2992,x2993)+P2(f5(x2991,x2992,x2993),a3)
% 3.73/3.76 [300]~P6(x3001,x3002,x3003)+P2(f6(x3001,x3002,x3003),a3)
% 3.73/3.76 [301]~P8(x3011,x3012,x3013)+E(f15(x3011,f7(x3011,x3012,x3013)),x3013)
% 3.73/3.76 [302]~P7(x3021,x3022,x3023)+E(f15(f8(x3021,x3022,x3023),x3022),x3023)
% 3.73/3.76 [311]~P2(x3111,f16(x3112,x3113))+E(f46(f17(x3111,x3112,x3113),f18(x3111,x3112,x3113)),x3111)
% 3.73/3.76 [319]~P2(x3191,f71(x3192,x3193))+P2(f46(x3191,f72(x3191,x3192,x3193)),x3192)
% 3.73/3.76 [320]~P2(x3201,f36(x3202,x3203))+P2(f46(f37(x3201,x3202,x3203),x3201),x3202)
% 3.73/3.76 [323]~P8(x3232,x3231,x3233)+P2(f46(x3231,f7(x3232,x3231,x3233)),a13)
% 3.73/3.76 [324]~P7(x3241,x3242,x3243)+P2(f46(x3241,f8(x3241,x3242,x3243)),a13)
% 3.73/3.76 [326]~P6(x3261,x3262,x3263)+E(f15(f15(a9,f5(x3261,x3262,x3263)),f6(x3261,x3262,x3263)),x3261)
% 3.73/3.76 [327]~P2(x3271,f16(x3272,x3273))+P2(f46(f17(x3271,x3272,x3273),f19(x3271,x3272,x3273)),x3273)
% 3.73/3.76 [328]~P2(x3281,f16(x3282,x3283))+P2(f46(f19(x3281,x3282,x3283),f18(x3281,x3282,x3283)),x3282)
% 3.73/3.76 [329]~P6(x3291,x3292,x3293)+E(f15(f15(f5(x3291,x3292,x3293),x3292),f15(f6(x3291,x3292,x3293),x3292)),x3293)
% 3.73/3.76 [221]E(x2211,x2212)+~E(f46(x2213,x2211),f46(x2214,x2212))
% 3.73/3.76 [222]E(x2221,x2222)+~E(f51(x2223,x2221),f51(x2224,x2222))
% 3.73/3.76 [223]E(x2231,x2232)+~E(f15(x2233,x2231),f15(x2234,x2232))
% 3.73/3.76 [224]E(x2241,x2242)+~E(f46(x2241,x2243),f46(x2242,x2244))
% 3.73/3.76 [225]E(x2251,x2252)+~E(f51(x2251,x2253),f51(x2252,x2254))
% 3.73/3.76 [226]E(x2261,x2262)+~E(f15(x2261,x2263),f15(x2262,x2264))
% 3.73/3.76 [331]P2(x3311,x3312)+~P2(f46(f38(x3313),f38(x3311)),f58(x3314,x3315,x3312,x3316))
% 3.73/3.76 [332]P2(x3321,x3322)+~P2(f46(f29(x3323),f38(x3321)),f58(x3324,x3325,x3322,x3326))
% 3.73/3.76 [333]P2(x3331,x3332)+~P2(f46(f29(x3333),f29(x3331)),f58(x3332,x3334,x3335,x3336))
% 3.73/3.76 [334]P2(x3341,x3342)+~P2(f46(f38(x3341),f38(x3343)),f58(x3344,x3345,x3342,x3346))
% 3.73/3.76 [335]P2(x3351,x3352)+~P2(f46(f29(x3351),f38(x3353)),f58(x3352,x3354,x3355,x3356))
% 3.73/3.76 [336]P2(x3361,x3362)+~P2(f46(f29(x3361),f29(x3363)),f58(x3362,x3364,x3365,x3366))
% 3.73/3.76 [337]P2(f46(x3371,x3372),x3373)+~P2(f46(f38(x3371),f38(x3372)),f58(x3374,x3375,x3376,x3373))
% 3.73/3.76 [338]P2(f46(x3381,x3382),x3383)+~P2(f46(f29(x3381),f29(x3382)),f58(x3384,x3383,x3385,x3386))
% 3.73/3.76 [340]E(x3401,x3402)+~P12(x3401,x3403,x3402,x3404,x3405,x3406,x3407,x3408)
% 3.73/3.76 [341]P2(x3411,x3412)+~P13(x3413,x3414,x3415,x3411,x3416,x3417,x3412,x3418)
% 3.73/3.76 [342]P2(x3421,x3422)+~P12(x3423,x3424,x3425,x3421,x3426,x3427,x3422,x3428)
% 3.73/3.76 [343]P2(x3431,x3432)+~P13(x3433,x3434,x3431,x3435,x3432,x3436,x3437,x3438)
% 3.73/3.76 [344]P2(x3441,x3442)+~P12(x3443,x3444,x3441,x3445,x3442,x3446,x3447,x3448)
% 3.73/3.76 [345]P2(x3451,x3452)+~P13(x3453,x3451,x3454,x3455,x3456,x3457,x3452,x3458)
% 3.73/3.76 [346]P2(x3461,x3462)+~P12(x3463,x3461,x3464,x3465,x3466,x3467,x3462,x3468)
% 3.73/3.76 [347]P2(x3471,x3472)+~P13(x3471,x3473,x3474,x3475,x3472,x3476,x3477,x3478)
% 3.73/3.76 [348]~P12(x3484,x3481,x3485,x3482,x3486,x3487,x3488,x3483)+P2(f46(x3481,x3482),x3483)
% 3.73/3.76 [349]~P13(x3491,x3494,x3492,x3495,x3496,x3493,x3497,x3498)+P2(f46(x3491,x3492),x3493)
% 3.73/3.76 [228]~P10(x2282,x2281)+~P10(x2281,x2282)+E(x2281,x2282)
% 3.73/3.76 [220]~P11(x2202)+~P11(x2201)+P11(f67(x2201,x2202))
% 3.73/3.76 [229]P2(x2291,x2292)+E(x2291,x2292)+~P2(x2291,f63(x2292))
% 3.73/3.76 [259]~P2(x2592,a3)+~P2(x2591,a3)+P2(f15(x2591,x2592),a3)
% 3.73/3.76 [303]~P2(x3031,f33(x3032))+P2(f46(f35(x3031,x3032),x3031),x3032)+P2(f46(x3031,f34(x3031,x3032)),x3032)
% 3.73/3.76 [305]~P2(x3052,a3)+~P2(x3051,a3)+P2(f46(f15(f15(a2,x3051),x3052),x3051),a13)
% 3.73/3.76 [231]~P10(x2313,x2312)+P2(x2311,x2312)+~P2(x2311,x2313)
% 3.73/3.76 [232]~P10(x2321,x2323)+P10(x2321,x2322)+~P10(x2323,x2322)
% 3.73/3.76 [242]P2(x2421,x2422)+~P2(x2421,x2423)+~P2(x2423,f48(x2422))
% 3.73/3.76 [243]P2(x2431,x2432)+~P2(x2432,x2433)+~P2(x2431,f39(x2433))
% 3.73/3.76 [250]~P2(x2501,x2503)+P2(x2501,x2502)+P2(x2501,f23(x2503,x2502))
% 3.73/3.76 [260]E(x2601,x2602)+P2(x2601,x2603)+~P2(x2601,f14(x2602,x2603))
% 3.73/3.76 [261]~P2(x2613,x2612)+P2(f43(x2611,x2612),x2612)+P2(x2611,f39(x2612))
% 3.73/3.76 [265]~P2(x2651,x2653)+~P2(x2651,x2652)+P2(x2651,f40(x2652,x2653))
% 3.73/3.76 [266]~P2(x2661,x2663)+~P10(x2662,x2663)+P10(f14(x2661,x2662),x2663)
% 3.73/3.76 [271]P2(x2711,x2712)+P2(x2711,x2713)+~P2(x2711,f67(x2713,x2712))
% 3.73/3.76 [281]~P2(x2813,x2812)+~P2(x2811,f43(x2811,x2812))+P2(x2811,f39(x2812))
% 3.73/3.76 [289]~P2(x2891,x2893)+P2(x2891,x2892)+P2(f65(x2893,x2892,x2891),x2893)
% 3.73/3.76 [307]P2(x3071,x3072)+~P2(x3071,x3073)+~P2(f65(x3073,x3072,x3071),x3072)
% 3.73/3.76 [317]P2(f55(x3171,x3172,x3173),x3173)+~P2(x3171,f57(x3172,x3173))+P2(f56(x3171,x3172,x3173),x3172)
% 3.73/3.76 [318]P2(f68(x3181,x3182,x3183),x3183)+~P2(x3181,f22(x3182,x3183))+P2(f69(x3181,x3182,x3183),x3182)
% 3.73/3.76 [308]~P2(x3081,f22(x3082,x3083))+E(f29(f69(x3081,x3082,x3083)),x3081)+E(f38(f68(x3081,x3082,x3083)),x3081)
% 3.73/3.76 [309]~P2(x3091,f57(x3092,x3093))+E(f47(f56(x3091,x3092,x3093)),x3091)+E(f50(f55(x3091,x3092,x3093)),x3091)
% 3.73/3.76 [313]P2(f69(x3131,x3132,x3133),x3132)+~P2(x3131,f22(x3132,x3133))+E(f38(f68(x3131,x3132,x3133)),x3131)
% 3.73/3.76 [314]P2(f68(x3141,x3142,x3143),x3143)+~P2(x3141,f22(x3142,x3143))+E(f29(f69(x3141,x3142,x3143)),x3141)
% 3.73/3.76 [315]P2(f56(x3151,x3152,x3153),x3152)+~P2(x3151,f57(x3152,x3153))+E(f50(f55(x3151,x3152,x3153)),x3151)
% 3.73/3.76 [316]P2(f55(x3161,x3162,x3163),x3163)+~P2(x3161,f57(x3162,x3163))+E(f47(f56(x3161,x3162,x3163)),x3161)
% 3.73/3.76 [287]~P2(x2874,x2873)+~P2(f46(x2874,x2871),x2872)+P2(x2871,f36(x2872,x2873))
% 3.73/3.76 [288]~P2(x2884,x2883)+~P2(f46(x2881,x2884),x2882)+P2(x2881,f71(x2882,x2883))
% 3.73/3.76 [294]~P2(x2941,x2944)+P2(x2941,x2942)+P2(f20(x2943,x2944,x2942),f14(x2943,x2944))
% 3.73/3.76 [306]P2(x3061,x3062)+~P2(x3061,x3063)+~P2(f20(x3064,x3063,x3062),x3062)
% 3.73/3.76 [297]~P2(f46(x2971,x2975),x2974)+P2(f46(x2971,x2972),f16(x2973,x2974))+~P2(f46(x2975,x2972),x2973)
% 3.73/3.76 [350]P12(x3501,x3502,x3503,x3504,x3505,x3506,x3507,x3508)+P13(x3501,x3502,x3503,x3504,x3505,x3506,x3507,x3508)+~P2(f46(f46(x3501,x3502),f46(x3503,x3504)),f61(x3505,x3506,x3507,x3508))
% 3.73/3.76 [312]~P2(x3122,a3)+~P2(x3121,a3)+~P2(f46(x3121,x3123),f1(a13))+P2(f46(f15(f15(a2,x3121),x3122),x3123),f1(a13))
% 3.73/3.76 [330]~P2(x3303,a3)+~P2(x3302,a3)+~P2(x3301,a3)+P2(f46(f15(f15(f15(a9,x3301),x3302),x3303),f15(f15(x3301,x3303),f15(x3302,x3303))),a13)
% 3.73/3.76 [291]~P1(x2913)+~P2(f46(x2911,x2914),x2913)+P2(f46(x2911,x2912),x2913)+~P2(f46(x2914,x2912),x2913)
% 3.73/3.76 [304]~P2(x3043,x3042)+P2(x3041,x3042)+~P2(x3041,f14(x3043,x3044))+P2(f21(x3043,x3044,x3042),x3044)
% 3.73/3.76 [310]P2(x3101,x3102)+~P2(x3103,x3102)+~P2(f21(x3103,x3104,x3102),x3102)+~P2(x3101,f14(x3103,x3104))
% 3.73/3.76 [321]~P2(x3211,a3)+~P2(f46(x3212,x3214),a13)+~P2(f46(f15(x3211,x3214),x3213),f1(a13))+P2(f46(f15(x3211,x3212),x3213),f1(a13))
% 3.73/3.76 [322]~P2(x3222,a3)+~P2(f46(x3221,x3224),a13)+~P2(f46(f15(x3224,x3222),x3223),f1(a13))+P2(f46(f15(x3221,x3222),x3223),f1(a13))
% 3.73/3.76 [325]P6(x3251,x3252,x3253)+P7(x3251,x3252,x3253)+P8(x3251,x3252,x3253)+P5(x3251,x3252,x3253)+~P2(f46(f15(x3251,x3252),x3253),a13)
% 3.73/3.76 [339]~P2(x3393,a3)+~P2(x3392,a3)+~P2(x3391,a3)+~P2(f46(f15(f15(x3391,x3393),f15(x3392,x3393)),x3394),f1(a13))+P2(f46(f15(f15(f15(a9,x3391),x3392),x3393),x3394),f1(a13))
% 3.73/3.76 %EqnAxiom
% 3.73/3.76 [1]E(x11,x11)
% 3.73/3.76 [2]E(x22,x21)+~E(x21,x22)
% 3.73/3.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.73/3.76 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 3.73/3.76 [5]~E(x51,x52)+E(f46(x51,x53),f46(x52,x53))
% 3.73/3.76 [6]~E(x61,x62)+E(f46(x63,x61),f46(x63,x62))
% 3.73/3.76 [7]~E(x71,x72)+E(f14(x71,x73),f14(x72,x73))
% 3.73/3.76 [8]~E(x81,x82)+E(f14(x83,x81),f14(x83,x82))
% 3.73/3.76 [9]~E(x91,x92)+E(f15(x91,x93),f15(x92,x93))
% 3.73/3.76 [10]~E(x101,x102)+E(f15(x103,x101),f15(x103,x102))
% 3.73/3.76 [11]~E(x111,x112)+E(f61(x111,x113,x114,x115),f61(x112,x113,x114,x115))
% 3.73/3.76 [12]~E(x121,x122)+E(f61(x123,x121,x124,x125),f61(x123,x122,x124,x125))
% 3.73/3.76 [13]~E(x131,x132)+E(f61(x133,x134,x131,x135),f61(x133,x134,x132,x135))
% 3.73/3.76 [14]~E(x141,x142)+E(f61(x143,x144,x145,x141),f61(x143,x144,x145,x142))
% 3.73/3.76 [15]~E(x151,x152)+E(f68(x151,x153,x154),f68(x152,x153,x154))
% 3.73/3.76 [16]~E(x161,x162)+E(f68(x163,x161,x164),f68(x163,x162,x164))
% 3.73/3.76 [17]~E(x171,x172)+E(f68(x173,x174,x171),f68(x173,x174,x172))
% 3.73/3.76 [18]~E(x181,x182)+E(f69(x181,x183,x184),f69(x182,x183,x184))
% 3.73/3.76 [19]~E(x191,x192)+E(f69(x193,x191,x194),f69(x193,x192,x194))
% 3.73/3.76 [20]~E(x201,x202)+E(f69(x203,x204,x201),f69(x203,x204,x202))
% 3.73/3.76 [21]~E(x211,x212)+E(f57(x211,x213),f57(x212,x213))
% 3.73/3.76 [22]~E(x221,x222)+E(f57(x223,x221),f57(x223,x222))
% 3.73/3.76 [23]~E(x231,x232)+E(f55(x231,x233,x234),f55(x232,x233,x234))
% 3.73/3.76 [24]~E(x241,x242)+E(f55(x243,x241,x244),f55(x243,x242,x244))
% 3.73/3.76 [25]~E(x251,x252)+E(f55(x253,x254,x251),f55(x253,x254,x252))
% 3.73/3.76 [26]~E(x261,x262)+E(f56(x261,x263,x264),f56(x262,x263,x264))
% 3.73/3.76 [27]~E(x271,x272)+E(f56(x273,x271,x274),f56(x273,x272,x274))
% 3.73/3.76 [28]~E(x281,x282)+E(f56(x283,x284,x281),f56(x283,x284,x282))
% 3.73/3.76 [29]~E(x291,x292)+E(f29(x291),f29(x292))
% 3.73/3.76 [30]~E(x301,x302)+E(f38(x301),f38(x302))
% 3.73/3.76 [31]~E(x311,x312)+E(f8(x311,x313,x314),f8(x312,x313,x314))
% 3.73/3.76 [32]~E(x321,x322)+E(f8(x323,x321,x324),f8(x323,x322,x324))
% 3.73/3.76 [33]~E(x331,x332)+E(f8(x333,x334,x331),f8(x333,x334,x332))
% 3.73/3.76 [34]~E(x341,x342)+E(f20(x341,x343,x344),f20(x342,x343,x344))
% 3.73/3.76 [35]~E(x351,x352)+E(f20(x353,x351,x354),f20(x353,x352,x354))
% 3.73/3.76 [36]~E(x361,x362)+E(f20(x363,x364,x361),f20(x363,x364,x362))
% 3.73/3.76 [37]~E(x371,x372)+E(f47(x371),f47(x372))
% 3.73/3.76 [38]~E(x381,x382)+E(f50(x381),f50(x382))
% 3.73/3.76 [39]~E(x391,x392)+E(f60(x391),f60(x392))
% 3.73/3.76 [40]~E(x401,x402)+E(f27(x401,x403),f27(x402,x403))
% 3.73/3.76 [41]~E(x411,x412)+E(f27(x413,x411),f27(x413,x412))
% 3.73/3.76 [42]~E(x421,x422)+E(f35(x421,x423),f35(x422,x423))
% 3.73/3.76 [43]~E(x431,x432)+E(f35(x433,x431),f35(x433,x432))
% 3.73/3.76 [44]~E(x441,x442)+E(f33(x441),f33(x442))
% 3.73/3.76 [45]~E(x451,x452)+E(f58(x451,x453,x454,x455),f58(x452,x453,x454,x455))
% 3.73/3.76 [46]~E(x461,x462)+E(f58(x463,x461,x464,x465),f58(x463,x462,x464,x465))
% 3.73/3.76 [47]~E(x471,x472)+E(f58(x473,x474,x471,x475),f58(x473,x474,x472,x475))
% 3.73/3.76 [48]~E(x481,x482)+E(f58(x483,x484,x485,x481),f58(x483,x484,x485,x482))
% 3.73/3.76 [49]~E(x491,x492)+E(f7(x491,x493,x494),f7(x492,x493,x494))
% 3.73/3.76 [50]~E(x501,x502)+E(f7(x503,x501,x504),f7(x503,x502,x504))
% 3.73/3.76 [51]~E(x511,x512)+E(f7(x513,x514,x511),f7(x513,x514,x512))
% 3.73/3.76 [52]~E(x521,x522)+E(f6(x521,x523,x524),f6(x522,x523,x524))
% 3.73/3.76 [53]~E(x531,x532)+E(f6(x533,x531,x534),f6(x533,x532,x534))
% 3.73/3.76 [54]~E(x541,x542)+E(f6(x543,x544,x541),f6(x543,x544,x542))
% 3.73/3.76 [55]~E(x551,x552)+E(f65(x551,x553,x554),f65(x552,x553,x554))
% 3.73/3.76 [56]~E(x561,x562)+E(f65(x563,x561,x564),f65(x563,x562,x564))
% 3.73/3.76 [57]~E(x571,x572)+E(f65(x573,x574,x571),f65(x573,x574,x572))
% 3.73/3.76 [58]~E(x581,x582)+E(f54(x581),f54(x582))
% 3.73/3.76 [59]~E(x591,x592)+E(f17(x591,x593,x594),f17(x592,x593,x594))
% 3.73/3.76 [60]~E(x601,x602)+E(f17(x603,x601,x604),f17(x603,x602,x604))
% 3.73/3.76 [61]~E(x611,x612)+E(f17(x613,x614,x611),f17(x613,x614,x612))
% 3.73/3.76 [62]~E(x621,x622)+E(f19(x621,x623,x624),f19(x622,x623,x624))
% 3.73/3.76 [63]~E(x631,x632)+E(f19(x633,x631,x634),f19(x633,x632,x634))
% 3.73/3.76 [64]~E(x641,x642)+E(f19(x643,x644,x641),f19(x643,x644,x642))
% 3.73/3.76 [65]~E(x651,x652)+E(f51(x651,x653),f51(x652,x653))
% 3.73/3.76 [66]~E(x661,x662)+E(f51(x663,x661),f51(x663,x662))
% 3.73/3.76 [67]~E(x671,x672)+E(f26(x671),f26(x672))
% 3.73/3.76 [68]~E(x681,x682)+E(f52(x681,x683),f52(x682,x683))
% 3.73/3.76 [69]~E(x691,x692)+E(f52(x693,x691),f52(x693,x692))
% 3.73/3.76 [70]~E(x701,x702)+E(f5(x701,x703,x704),f5(x702,x703,x704))
% 3.73/3.76 [71]~E(x711,x712)+E(f5(x713,x711,x714),f5(x713,x712,x714))
% 3.73/3.76 [72]~E(x721,x722)+E(f5(x723,x724,x721),f5(x723,x724,x722))
% 3.73/3.76 [73]~E(x731,x732)+E(f71(x731,x733),f71(x732,x733))
% 3.73/3.76 [74]~E(x741,x742)+E(f71(x743,x741),f71(x743,x742))
% 3.73/3.76 [75]~E(x751,x752)+E(f36(x751,x753),f36(x752,x753))
% 3.73/3.76 [76]~E(x761,x762)+E(f36(x763,x761),f36(x763,x762))
% 3.73/3.76 [77]~E(x771,x772)+E(f63(x771),f63(x772))
% 3.73/3.76 [78]~E(x781,x782)+E(f31(x781),f31(x782))
% 3.73/3.76 [79]~E(x791,x792)+E(f53(x791,x793),f53(x792,x793))
% 3.73/3.76 [80]~E(x801,x802)+E(f53(x803,x801),f53(x803,x802))
% 3.73/3.76 [81]~E(x811,x812)+E(f44(x811),f44(x812))
% 3.73/3.76 [82]~E(x821,x822)+E(f18(x821,x823,x824),f18(x822,x823,x824))
% 3.73/3.76 [83]~E(x831,x832)+E(f18(x833,x831,x834),f18(x833,x832,x834))
% 3.73/3.76 [84]~E(x841,x842)+E(f18(x843,x844,x841),f18(x843,x844,x842))
% 3.73/3.76 [85]~E(x851,x852)+E(f16(x851,x853),f16(x852,x853))
% 3.73/3.76 [86]~E(x861,x862)+E(f16(x863,x861),f16(x863,x862))
% 3.73/3.76 [87]~E(x871,x872)+E(f25(x871,x873),f25(x872,x873))
% 3.73/3.76 [88]~E(x881,x882)+E(f25(x883,x881),f25(x883,x882))
% 3.73/3.76 [89]~E(x891,x892)+E(f30(x891,x893),f30(x892,x893))
% 3.73/3.76 [90]~E(x901,x902)+E(f30(x903,x901),f30(x903,x902))
% 3.73/3.76 [91]~E(x911,x912)+E(f59(x911,x913),f59(x912,x913))
% 3.73/3.76 [92]~E(x921,x922)+E(f59(x923,x921),f59(x923,x922))
% 3.73/3.76 [93]~E(x931,x932)+E(f28(x931),f28(x932))
% 3.73/3.76 [94]~E(x941,x942)+E(f43(x941,x943),f43(x942,x943))
% 3.73/3.76 [95]~E(x951,x952)+E(f43(x953,x951),f43(x953,x952))
% 3.73/3.76 [96]~E(x961,x962)+E(f39(x961),f39(x962))
% 3.73/3.76 [97]~E(x971,x972)+E(f66(x971),f66(x972))
% 3.73/3.76 [98]~E(x981,x982)+E(f4(x981),f4(x982))
% 3.73/3.76 [99]~E(x991,x992)+E(f70(x991,x993),f70(x992,x993))
% 3.73/3.76 [100]~E(x1001,x1002)+E(f70(x1003,x1001),f70(x1003,x1002))
% 3.73/3.76 [101]~E(x1011,x1012)+E(f41(x1011),f41(x1012))
% 3.73/3.76 [102]~E(x1021,x1022)+E(f72(x1021,x1023,x1024),f72(x1022,x1023,x1024))
% 3.73/3.76 [103]~E(x1031,x1032)+E(f72(x1033,x1031,x1034),f72(x1033,x1032,x1034))
% 3.73/3.76 [104]~E(x1041,x1042)+E(f72(x1043,x1044,x1041),f72(x1043,x1044,x1042))
% 3.73/3.76 [105]~E(x1051,x1052)+E(f45(x1051),f45(x1052))
% 3.73/3.76 [106]~E(x1061,x1062)+E(f48(x1061),f48(x1062))
% 3.73/3.76 [107]~E(x1071,x1072)+E(f37(x1071,x1073,x1074),f37(x1072,x1073,x1074))
% 3.73/3.76 [108]~E(x1081,x1082)+E(f37(x1083,x1081,x1084),f37(x1083,x1082,x1084))
% 3.73/3.76 [109]~E(x1091,x1092)+E(f37(x1093,x1094,x1091),f37(x1093,x1094,x1092))
% 3.73/3.76 [110]~E(x1101,x1102)+E(f22(x1101,x1103),f22(x1102,x1103))
% 3.73/3.76 [111]~E(x1111,x1112)+E(f22(x1113,x1111),f22(x1113,x1112))
% 3.73/3.76 [112]~E(x1121,x1122)+E(f40(x1121,x1123),f40(x1122,x1123))
% 3.73/3.76 [113]~E(x1131,x1132)+E(f40(x1133,x1131),f40(x1133,x1132))
% 3.73/3.76 [114]~E(x1141,x1142)+E(f21(x1141,x1143,x1144),f21(x1142,x1143,x1144))
% 3.73/3.76 [115]~E(x1151,x1152)+E(f21(x1153,x1151,x1154),f21(x1153,x1152,x1154))
% 3.73/3.76 [116]~E(x1161,x1162)+E(f21(x1163,x1164,x1161),f21(x1163,x1164,x1162))
% 3.73/3.76 [117]~E(x1171,x1172)+E(f32(x1171),f32(x1172))
% 3.73/3.76 [118]~E(x1181,x1182)+E(f49(x1181,x1183),f49(x1182,x1183))
% 3.73/3.76 [119]~E(x1191,x1192)+E(f49(x1193,x1191),f49(x1193,x1192))
% 3.73/3.76 [120]~E(x1201,x1202)+E(f67(x1201,x1203),f67(x1202,x1203))
% 3.73/3.76 [121]~E(x1211,x1212)+E(f67(x1213,x1211),f67(x1213,x1212))
% 3.73/3.76 [122]~E(x1221,x1222)+E(f23(x1221,x1223),f23(x1222,x1223))
% 3.73/3.76 [123]~E(x1231,x1232)+E(f23(x1233,x1231),f23(x1233,x1232))
% 3.73/3.76 [124]~E(x1241,x1242)+E(f34(x1241,x1243),f34(x1242,x1243))
% 3.73/3.76 [125]~E(x1251,x1252)+E(f34(x1253,x1251),f34(x1253,x1252))
% 3.73/3.76 [126]~E(x1261,x1262)+E(f24(x1261,x1263),f24(x1262,x1263))
% 3.73/3.76 [127]~E(x1271,x1272)+E(f24(x1273,x1271),f24(x1273,x1272))
% 3.73/3.76 [128]~E(x1281,x1282)+E(f64(x1281,x1283),f64(x1282,x1283))
% 3.73/3.76 [129]~E(x1291,x1292)+E(f64(x1293,x1291),f64(x1293,x1292))
% 3.73/3.76 [130]~P1(x1301)+P1(x1302)+~E(x1301,x1302)
% 3.73/3.76 [131]P2(x1312,x1313)+~E(x1311,x1312)+~P2(x1311,x1313)
% 3.73/3.76 [132]P2(x1323,x1322)+~E(x1321,x1322)+~P2(x1323,x1321)
% 3.73/3.76 [133]P12(x1332,x1333,x1334,x1335,x1336,x1337,x1338,x1339)+~E(x1331,x1332)+~P12(x1331,x1333,x1334,x1335,x1336,x1337,x1338,x1339)
% 3.73/3.76 [134]P12(x1343,x1342,x1344,x1345,x1346,x1347,x1348,x1349)+~E(x1341,x1342)+~P12(x1343,x1341,x1344,x1345,x1346,x1347,x1348,x1349)
% 3.73/3.76 [135]P12(x1353,x1354,x1352,x1355,x1356,x1357,x1358,x1359)+~E(x1351,x1352)+~P12(x1353,x1354,x1351,x1355,x1356,x1357,x1358,x1359)
% 3.73/3.76 [136]P12(x1363,x1364,x1365,x1362,x1366,x1367,x1368,x1369)+~E(x1361,x1362)+~P12(x1363,x1364,x1365,x1361,x1366,x1367,x1368,x1369)
% 3.73/3.76 [137]P12(x1373,x1374,x1375,x1376,x1372,x1377,x1378,x1379)+~E(x1371,x1372)+~P12(x1373,x1374,x1375,x1376,x1371,x1377,x1378,x1379)
% 3.73/3.76 [138]P12(x1383,x1384,x1385,x1386,x1387,x1382,x1388,x1389)+~E(x1381,x1382)+~P12(x1383,x1384,x1385,x1386,x1387,x1381,x1388,x1389)
% 3.73/3.76 [139]P12(x1393,x1394,x1395,x1396,x1397,x1398,x1392,x1399)+~E(x1391,x1392)+~P12(x1393,x1394,x1395,x1396,x1397,x1398,x1391,x1399)
% 3.73/3.76 [140]P12(x1403,x1404,x1405,x1406,x1407,x1408,x1409,x1402)+~E(x1401,x1402)+~P12(x1403,x1404,x1405,x1406,x1407,x1408,x1409,x1401)
% 3.73/3.76 [141]P13(x1412,x1413,x1414,x1415,x1416,x1417,x1418,x1419)+~E(x1411,x1412)+~P13(x1411,x1413,x1414,x1415,x1416,x1417,x1418,x1419)
% 3.73/3.76 [142]P13(x1423,x1422,x1424,x1425,x1426,x1427,x1428,x1429)+~E(x1421,x1422)+~P13(x1423,x1421,x1424,x1425,x1426,x1427,x1428,x1429)
% 3.73/3.76 [143]P13(x1433,x1434,x1432,x1435,x1436,x1437,x1438,x1439)+~E(x1431,x1432)+~P13(x1433,x1434,x1431,x1435,x1436,x1437,x1438,x1439)
% 3.73/3.76 [144]P13(x1443,x1444,x1445,x1442,x1446,x1447,x1448,x1449)+~E(x1441,x1442)+~P13(x1443,x1444,x1445,x1441,x1446,x1447,x1448,x1449)
% 3.73/3.76 [145]P13(x1453,x1454,x1455,x1456,x1452,x1457,x1458,x1459)+~E(x1451,x1452)+~P13(x1453,x1454,x1455,x1456,x1451,x1457,x1458,x1459)
% 3.73/3.76 [146]P13(x1463,x1464,x1465,x1466,x1467,x1462,x1468,x1469)+~E(x1461,x1462)+~P13(x1463,x1464,x1465,x1466,x1467,x1461,x1468,x1469)
% 3.73/3.76 [147]P13(x1473,x1474,x1475,x1476,x1477,x1478,x1472,x1479)+~E(x1471,x1472)+~P13(x1473,x1474,x1475,x1476,x1477,x1478,x1471,x1479)
% 3.73/3.76 [148]P13(x1483,x1484,x1485,x1486,x1487,x1488,x1489,x1482)+~E(x1481,x1482)+~P13(x1483,x1484,x1485,x1486,x1487,x1488,x1489,x1481)
% 3.73/3.76 [149]P10(x1492,x1493)+~E(x1491,x1492)+~P10(x1491,x1493)
% 3.73/3.76 [150]P10(x1503,x1502)+~E(x1501,x1502)+~P10(x1503,x1501)
% 3.73/3.76 [151]P5(x1512,x1513,x1514)+~E(x1511,x1512)+~P5(x1511,x1513,x1514)
% 3.73/3.76 [152]P5(x1523,x1522,x1524)+~E(x1521,x1522)+~P5(x1523,x1521,x1524)
% 3.73/3.76 [153]P5(x1533,x1534,x1532)+~E(x1531,x1532)+~P5(x1533,x1534,x1531)
% 3.73/3.76 [154]P8(x1542,x1543,x1544)+~E(x1541,x1542)+~P8(x1541,x1543,x1544)
% 3.73/3.76 [155]P8(x1553,x1552,x1554)+~E(x1551,x1552)+~P8(x1553,x1551,x1554)
% 3.73/3.76 [156]P8(x1563,x1564,x1562)+~E(x1561,x1562)+~P8(x1563,x1564,x1561)
% 3.73/3.76 [157]P6(x1572,x1573,x1574)+~E(x1571,x1572)+~P6(x1571,x1573,x1574)
% 3.73/3.76 [158]P6(x1583,x1582,x1584)+~E(x1581,x1582)+~P6(x1583,x1581,x1584)
% 3.73/3.76 [159]P6(x1593,x1594,x1592)+~E(x1591,x1592)+~P6(x1593,x1594,x1591)
% 3.73/3.76 [160]P7(x1602,x1603,x1604)+~E(x1601,x1602)+~P7(x1601,x1603,x1604)
% 3.73/3.76 [161]P7(x1613,x1612,x1614)+~E(x1611,x1612)+~P7(x1613,x1611,x1614)
% 3.73/3.76 [162]P7(x1623,x1624,x1622)+~E(x1621,x1622)+~P7(x1623,x1624,x1621)
% 3.73/3.76 [163]P3(x1632,x1633)+~E(x1631,x1632)+~P3(x1631,x1633)
% 3.73/3.76 [164]P3(x1643,x1642)+~E(x1641,x1642)+~P3(x1643,x1641)
% 3.73/3.76 [165]P9(x1652,x1653)+~E(x1651,x1652)+~P9(x1651,x1653)
% 3.73/3.76 [166]P9(x1663,x1662)+~E(x1661,x1662)+~P9(x1663,x1661)
% 3.73/3.76 [167]~P11(x1671)+P11(x1672)+~E(x1671,x1672)
% 3.73/3.76 [168]~P4(x1681)+P4(x1682)+~E(x1681,x1682)
% 3.73/3.76
% 3.73/3.76 %-------------------------------------------
% 3.73/3.76 cnf(351,plain,
% 3.73/3.76 (~P13(f46(f15(a11,a10),f15(a73,a10)),x3511,x3512,x3513,f1(a13),x3514,x3515,x3516)),
% 3.73/3.76 inference(scs_inference,[],[193,347])).
% 3.73/3.76 cnf(352,plain,
% 3.73/3.76 (~P12(x3521,f46(f15(a11,a10),f15(a73,a10)),x3522,x3523,x3524,x3525,f1(a13),x3526)),
% 3.73/3.76 inference(scs_inference,[],[193,347,346])).
% 3.73/3.76 cnf(353,plain,
% 3.73/3.76 (~P13(x3531,f46(f15(a11,a10),f15(a73,a10)),x3532,x3533,x3534,x3535,f1(a13),x3536)),
% 3.73/3.76 inference(scs_inference,[],[193,347,346,345])).
% 3.73/3.76 cnf(355,plain,
% 3.73/3.76 (~P12(x3551,x3552,f46(f15(a11,a10),f15(a73,a10)),x3553,f1(a13),x3554,x3555,x3556)),
% 3.73/3.76 inference(scs_inference,[],[193,347,346,345,344])).
% 3.73/3.76 cnf(357,plain,
% 3.73/3.76 (~P13(x3571,x3572,f46(f15(a11,a10),f15(a73,a10)),x3573,f1(a13),x3574,x3575,x3576)),
% 3.73/3.76 inference(scs_inference,[],[193,347,346,345,344,343])).
% 3.73/3.76 cnf(359,plain,
% 3.73/3.76 (~P12(x3591,x3592,x3593,f46(f15(a11,a10),f15(a73,a10)),x3594,x3595,f1(a13),x3596)),
% 3.73/3.76 inference(scs_inference,[],[193,347,346,345,344,343,342])).
% 3.73/3.76 cnf(361,plain,
% 3.73/3.76 (~P13(x3611,x3612,x3613,f46(f15(a11,a10),f15(a73,a10)),x3614,x3615,f1(a13),x3616)),
% 3.73/3.76 inference(scs_inference,[],[193,347,346,345,344,343,342,341])).
% 3.73/3.76 cnf(365,plain,
% 3.73/3.76 (~P3(f46(x3651,a12),a12)),
% 3.73/3.76 inference(scs_inference,[],[193,181,189,347,346,345,344,343,342,341,340,203])).
% 3.73/3.76 cnf(366,plain,
% 3.73/3.76 (~E(f46(x3661,x3662),x3662)),
% 3.73/3.76 inference(rename_variables,[],[189])).
% 3.73/3.76 cnf(368,plain,
% 3.73/3.76 (~P5(f46(x3681,f15(a2,x3682)),x3683,x3682)),
% 3.73/3.76 inference(scs_inference,[],[193,181,189,366,347,346,345,344,343,342,341,340,203,280])).
% 3.73/3.76 cnf(371,plain,
% 3.73/3.76 (P10(x3711,f14(x3712,x3711))),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,189,366,347,346,345,344,343,342,341,340,203,280,255])).
% 3.73/3.76 cnf(373,plain,
% 3.73/3.76 (P2(x3731,f14(x3732,f14(x3731,x3733)))),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,189,366,347,346,345,344,343,342,341,340,203,280,255,254])).
% 3.73/3.76 cnf(375,plain,
% 3.73/3.76 (P2(a73,a3)),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,176,189,366,347,346,345,344,343,342,341,340,203,280,255,254,247])).
% 3.73/3.76 cnf(377,plain,
% 3.73/3.76 (~P13(f15(a11,a10),x3771,f15(a73,a10),x3772,x3773,f1(a13),x3774,x3775)),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,176,189,366,347,346,345,344,343,342,341,340,203,280,255,254,247,349])).
% 3.73/3.76 cnf(379,plain,
% 3.73/3.76 (~P12(x3791,f15(a11,a10),x3792,f15(a73,a10),x3793,x3794,x3795,f1(a13))),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,176,189,366,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348])).
% 3.73/3.76 cnf(382,plain,
% 3.73/3.76 (~P2(f46(a2,x3821),a13)),
% 3.73/3.76 inference(rename_variables,[],[191])).
% 3.73/3.76 cnf(384,plain,
% 3.73/3.76 (~P8(x3841,a2,x3842)),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,176,189,366,191,382,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323])).
% 3.73/3.76 cnf(385,plain,
% 3.73/3.76 (~P2(f46(a2,x3851),a13)),
% 3.73/3.76 inference(rename_variables,[],[191])).
% 3.73/3.76 cnf(387,plain,
% 3.73/3.76 (~P7(x3871,x3872,a2)),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,176,189,366,186,191,382,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302])).
% 3.73/3.76 cnf(388,plain,
% 3.73/3.76 (~E(f15(x3881,x3882),a2)),
% 3.73/3.76 inference(rename_variables,[],[186])).
% 3.73/3.76 cnf(390,plain,
% 3.73/3.76 (~P8(x3901,x3902,a2)),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,176,189,366,186,388,191,382,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301])).
% 3.73/3.76 cnf(391,plain,
% 3.73/3.76 (~E(f15(x3911,x3912),a2)),
% 3.73/3.76 inference(rename_variables,[],[186])).
% 3.73/3.76 cnf(394,plain,
% 3.73/3.76 (~P2(f46(a2,x3941),a13)),
% 3.73/3.76 inference(rename_variables,[],[191])).
% 3.73/3.76 cnf(399,plain,
% 3.73/3.76 (~E(f46(x3991,x3992),a12)),
% 3.73/3.76 inference(rename_variables,[],[188])).
% 3.73/3.76 cnf(402,plain,
% 3.73/3.76 (~E(f46(x4021,x4022),a12)),
% 3.73/3.76 inference(rename_variables,[],[188])).
% 3.73/3.76 cnf(405,plain,
% 3.73/3.76 (~E(f15(x4051,x4052),a2)),
% 3.73/3.76 inference(rename_variables,[],[186])).
% 3.73/3.76 cnf(408,plain,
% 3.73/3.76 (~P2(f46(a2,x4081),a13)),
% 3.73/3.76 inference(rename_variables,[],[191])).
% 3.73/3.76 cnf(410,plain,
% 3.73/3.76 (~P6(x4101,x4102,a2)),
% 3.73/3.76 inference(scs_inference,[],[193,175,181,176,189,366,186,388,391,405,188,399,191,382,385,394,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329])).
% 3.73/3.76 cnf(418,plain,
% 3.73/3.76 (~P10(a3,f28(a13))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231])).
% 3.73/3.76 cnf(420,plain,
% 3.73/3.76 (P2(f46(a11,a73),f16(a13,f1(a13)))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297])).
% 3.73/3.76 cnf(443,plain,
% 3.73/3.76 (~P2(a9,f14(a2,a12))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234])).
% 3.73/3.76 cnf(463,plain,
% 3.73/3.76 (~P2(f46(f46(f15(a11,a10),f15(a73,a10)),x4631),f44(f1(a13)))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234,218,336,335,334,333,332,331,298,270,269])).
% 3.73/3.76 cnf(465,plain,
% 3.73/3.76 (~P2(f46(x4651,f46(f15(a11,a10),f15(a73,a10))),f44(f1(a13)))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234,218,336,335,334,333,332,331,298,270,269,268])).
% 3.73/3.76 cnf(475,plain,
% 3.73/3.76 (P2(f38(a2),f22(x4751,a3))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234,218,336,335,334,333,332,331,298,270,269,268,264,262,256,241,240])).
% 3.73/3.76 cnf(477,plain,
% 3.73/3.76 (P2(f46(a2,a2),f1(a13))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234,218,336,335,334,333,332,331,298,270,269,268,264,262,256,241,240,239])).
% 3.73/3.76 cnf(505,plain,
% 3.73/3.76 (P2(f20(f46(f15(a11,a10),f15(a73,a10)),x5051,f1(a13)),f14(f46(f15(a11,a10),f15(a73,a10)),x5051))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234,218,336,335,334,333,332,331,298,270,269,268,264,262,256,241,240,239,230,226,225,224,223,222,221,216,199,198,197,196,195,290])).
% 3.73/3.76 cnf(511,plain,
% 3.73/3.76 (P2(f46(a73,a62),f26(a13))),
% 3.73/3.76 inference(scs_inference,[],[193,175,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234,218,336,335,334,333,332,331,298,270,269,268,264,262,256,241,240,239,230,226,225,224,223,222,221,216,199,198,197,196,195,290,338,337,282])).
% 3.73/3.76 cnf(518,plain,
% 3.73/3.76 (~E(a12,a3)),
% 3.73/3.76 inference(scs_inference,[],[193,175,174,170,181,176,178,189,366,186,388,391,405,188,399,402,191,382,385,394,408,347,346,345,344,343,342,341,340,203,280,255,254,247,349,348,324,323,302,301,285,283,278,277,326,319,329,311,132,131,231,297,310,2,214,205,267,253,252,251,238,237,236,234,218,336,335,334,333,332,331,298,270,269,268,264,262,256,241,240,239,230,226,225,224,223,222,221,216,199,198,197,196,195,290,338,337,282,328,327,164,149])).
% 3.73/3.76 cnf(602,plain,
% 3.73/3.76 (P2(f46(f25(f46(a73,a62),a13),f24(f46(a73,a62),a13)),a13)),
% 3.73/3.76 inference(scs_inference,[],[511,292])).
% 3.73/3.76 cnf(605,plain,
% 3.73/3.76 (P10(x6051,f14(x6052,x6051))),
% 3.73/3.76 inference(rename_variables,[],[371])).
% 3.73/3.76 cnf(608,plain,
% 3.73/3.76 (~P2(a9,a12)),
% 3.73/3.76 inference(scs_inference,[],[371,511,418,443,292,150,255,236])).
% 3.73/3.76 cnf(612,plain,
% 3.73/3.76 (~P2(a3,f48(f14(a2,a12)))),
% 3.73/3.76 inference(scs_inference,[],[171,371,511,418,443,292,150,255,236,278,242])).
% 3.73/3.76 cnf(614,plain,
% 3.73/3.76 (~P2(f20(x6141,a3,f14(a2,a12)),f14(a2,a12))),
% 3.73/3.76 inference(scs_inference,[],[171,371,511,418,443,292,150,255,236,278,242,306])).
% 3.73/3.76 cnf(616,plain,
% 3.73/3.76 (P10(f14(a9,a3),a3)),
% 3.73/3.76 inference(scs_inference,[],[171,175,371,511,418,443,292,150,255,236,278,242,306,266])).
% 3.73/3.76 cnf(617,plain,
% 3.73/3.76 (P10(x6171,x6171)),
% 3.73/3.76 inference(rename_variables,[],[175])).
% 3.73/3.76 cnf(622,plain,
% 3.73/3.76 (P2(x6221,f14(x6221,x6222))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(624,plain,
% 3.73/3.76 (~P2(f65(a3,f14(a2,a12),a9),f14(a2,a12))),
% 3.73/3.76 inference(scs_inference,[],[171,192,175,179,371,511,418,443,292,150,255,236,278,242,306,266,265,294,307])).
% 3.73/3.76 cnf(627,plain,
% 3.73/3.76 (P2(x6271,f14(x6271,x6272))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(631,plain,
% 3.73/3.76 (~P2(f46(f15(a62,a10),f15(a73,a10)),f1(a13))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,175,180,179,622,169,371,351,352,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291])).
% 3.73/3.76 cnf(638,plain,
% 3.73/3.76 (~P10(f14(f46(f15(a11,a10),f15(a73,a10)),x6381),f1(a13))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,175,173,180,179,622,169,178,371,368,351,352,384,387,410,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254])).
% 3.73/3.76 cnf(640,plain,
% 3.73/3.76 (E(f14(a9,a3),a3)),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,175,173,180,179,622,169,178,371,605,368,351,352,384,387,410,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228])).
% 3.73/3.76 cnf(642,plain,
% 3.73/3.76 (E(f46(a73,a62),f46(f24(f46(a73,a62),a13),f25(f46(a73,a62),a13)))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,175,173,180,179,622,169,178,371,605,368,351,352,384,387,410,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2])).
% 3.73/3.76 cnf(645,plain,
% 3.73/3.76 (E(f46(f17(f46(a11,a73),a13,f1(a13)),f18(f46(a11,a73),a13,f1(a13))),f46(a11,a73))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,175,173,180,179,622,169,178,371,605,368,351,352,384,387,410,420,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311])).
% 3.73/3.76 cnf(650,plain,
% 3.73/3.76 (P2(x6501,f14(x6501,x6502))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(652,plain,
% 3.73/3.76 (P2(x6521,f14(x6521,x6522))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(657,plain,
% 3.73/3.76 (P2(x6571,f14(x6571,x6572))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(660,plain,
% 3.73/3.76 (~P2(f46(a9,x6601),a13)),
% 3.73/3.76 inference(rename_variables,[],[192])).
% 3.73/3.76 cnf(666,plain,
% 3.73/3.76 (P2(x6661,f14(x6661,x6662))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(668,plain,
% 3.73/3.76 (P2(x6681,f36(f14(f46(a9,x6681),x6682),a3))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,660,175,617,173,180,179,622,627,650,652,657,666,189,169,178,371,605,368,351,352,384,387,410,420,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311,149,132,243,271,250,229,305,289,287])).
% 3.73/3.76 cnf(669,plain,
% 3.73/3.76 (P2(x6691,f14(x6691,x6692))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(672,plain,
% 3.73/3.76 (P2(x6721,f14(x6721,x6722))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(674,plain,
% 3.73/3.76 (P2(f43(f46(f15(a11,a10),f15(a73,a10)),f14(f1(a13),x6741)),f14(f1(a13),x6741))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,660,175,617,173,180,179,622,627,650,652,657,666,669,672,189,169,178,371,605,368,351,352,384,387,410,420,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311,149,132,243,271,250,229,305,289,287,281,261])).
% 3.73/3.76 cnf(675,plain,
% 3.73/3.76 (P2(x6751,f14(x6751,x6752))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(677,plain,
% 3.73/3.76 (P2(f46(f15(f15(f15(a9,a9),a9),a9),f15(f15(a9,a9),f15(a9,a9))),a13)),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,660,175,617,173,180,179,622,627,650,652,657,666,669,672,189,169,178,371,605,368,351,352,384,387,410,420,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311,149,132,243,271,250,229,305,289,287,281,261,330])).
% 3.73/3.76 cnf(683,plain,
% 3.73/3.76 (E(f20(f46(f15(a11,a10),f15(a73,a10)),a12,f1(a13)),f46(f15(a11,a10),f15(a73,a10)))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,660,175,617,173,180,179,622,627,650,652,657,666,669,672,675,189,169,178,371,605,373,368,505,351,352,384,387,410,420,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311,149,132,243,271,250,229,305,289,287,281,261,330,304,234])).
% 3.73/3.76 cnf(692,plain,
% 3.73/3.76 (~E(f46(a62,a73),f46(a9,x6921))),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,660,175,617,173,180,179,622,627,650,652,657,666,669,672,675,189,169,178,176,371,605,373,368,505,351,352,384,387,410,420,511,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311,149,132,243,271,250,229,305,289,287,281,261,330,304,234,224,221,259,131])).
% 3.73/3.76 cnf(696,plain,
% 3.73/3.76 (~P2(f46(x6961,f46(f15(a11,a10),f15(a73,a10))),f44(f1(a13)))),
% 3.73/3.76 inference(rename_variables,[],[465])).
% 3.73/3.76 cnf(704,plain,
% 3.73/3.76 (~P13(x7041,f20(f46(f15(a11,a10),f15(a73,a10)),a12,f1(a13)),x7042,x7043,x7044,x7045,f1(a13),x7046)),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,660,175,617,173,180,179,622,627,650,652,657,666,669,672,675,189,169,178,176,371,605,373,368,505,351,352,353,357,361,465,696,384,387,410,420,511,365,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311,149,132,243,271,250,229,305,289,287,281,261,330,304,234,224,221,259,131,219,286,320,163,144,143,142])).
% 3.73/3.76 cnf(706,plain,
% 3.73/3.76 (~P12(x7061,x7062,f20(f46(f15(a11,a10),f15(a73,a10)),a12,f1(a13)),x7063,f1(a13),x7064,x7065,x7066)),
% 3.73/3.76 inference(scs_inference,[],[193,171,192,660,175,617,173,180,179,622,627,650,652,657,666,669,672,675,189,169,178,176,371,605,373,368,505,351,352,353,355,357,359,361,465,696,384,387,410,420,511,365,418,443,292,150,255,236,278,242,306,266,265,294,307,297,350,291,312,325,254,228,2,200,311,149,132,243,271,250,229,305,289,287,281,261,330,304,234,224,221,259,131,219,286,320,163,144,143,142,136,135])).
% 3.73/3.76 cnf(883,plain,
% 3.73/3.76 (P2(f46(f37(x8831,f14(f46(a9,x8831),x8832),a3),x8831),f14(f46(a9,x8831),x8832))),
% 3.73/3.76 inference(scs_inference,[],[668,320])).
% 3.73/3.76 cnf(887,plain,
% 3.73/3.76 (P10(x8871,f14(x8872,f14(x8873,x8871)))),
% 3.73/3.76 inference(scs_inference,[],[640,668,371,320,219,255])).
% 3.73/3.76 cnf(898,plain,
% 3.73/3.76 (~P7(x8981,x8982,a2)),
% 3.73/3.76 inference(rename_variables,[],[387])).
% 3.73/3.76 cnf(900,plain,
% 3.73/3.76 (E(f46(x9001,f14(a9,a3)),f46(x9001,a3))),
% 3.73/3.76 inference(scs_inference,[],[172,170,640,668,477,390,371,368,387,410,320,219,255,236,312,325,6])).
% 3.73/3.76 cnf(903,plain,
% 3.73/3.76 (P10(a12,x9031)),
% 3.73/3.76 inference(rename_variables,[],[174])).
% 3.73/3.76 cnf(914,plain,
% 3.73/3.76 (~P10(f14(f46(f38(x9141),f29(x9142)),x9143),f58(x9144,x9145,x9146,x9147))),
% 3.73/3.76 inference(scs_inference,[],[194,172,188,179,174,170,640,668,638,477,518,390,371,368,387,410,320,219,255,236,312,325,6,5,228,260,200,330,254,231])).
% 3.73/3.76 cnf(915,plain,
% 3.73/3.76 (P2(x9151,f14(x9151,x9152))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(917,plain,
% 3.73/3.76 (~P2(f15(x9171,x9172),f14(a9,a12))),
% 3.73/3.76 inference(scs_inference,[],[187,194,172,188,179,174,170,640,668,638,477,518,390,371,368,387,410,320,219,255,236,312,325,6,5,228,260,200,330,254,231,234])).
% 3.73/3.76 cnf(923,plain,
% 3.73/3.76 (~E(a12,f14(f46(f15(a11,a10),f15(a73,a10)),x9231))),
% 3.73/3.76 inference(scs_inference,[],[187,194,172,188,179,174,903,170,640,668,638,477,518,390,371,368,387,410,320,219,255,236,312,325,6,5,228,260,200,330,254,231,234,224,239,149])).
% 3.73/3.76 cnf(933,plain,
% 3.73/3.76 (~P13(f20(f46(f15(a11,a10),f15(a73,a10)),a12,f1(a13)),x9331,x9332,x9333,f1(a13),x9334,x9335,x9336)),
% 3.73/3.76 inference(scs_inference,[],[187,194,172,188,351,179,915,174,903,170,640,668,683,638,477,518,390,371,368,387,898,410,320,219,255,236,312,325,6,5,228,260,200,330,254,231,234,224,239,149,2,221,196,131,162,141])).
% 3.73/3.76 cnf(961,plain,
% 3.73/3.76 (~P10(f14(x9611,f14(f46(f38(x9612),f29(x9613)),x9614)),f58(x9615,x9616,x9617,x9618))),
% 3.73/3.76 inference(scs_inference,[],[914,614,900,624,236,219,201,255])).
% 3.73/3.76 cnf(964,plain,
% 3.73/3.76 (E(f46(x9641,f14(a9,a3)),f46(x9641,a3))),
% 3.73/3.76 inference(rename_variables,[],[900])).
% 3.73/3.76 cnf(965,plain,
% 3.73/3.76 (~E(f46(x9651,x9652),x9652)),
% 3.73/3.76 inference(rename_variables,[],[189])).
% 3.73/3.76 cnf(967,plain,
% 3.73/3.76 (P10(x9671,x9671)),
% 3.73/3.76 inference(rename_variables,[],[175])).
% 3.73/3.76 cnf(968,plain,
% 3.73/3.76 (E(f46(f37(x9681,f14(f46(a9,x9681),a12),a3),x9681),f46(a9,x9681))),
% 3.73/3.76 inference(scs_inference,[],[189,175,914,883,614,900,624,236,219,201,255,3,150,234])).
% 3.73/3.76 cnf(971,plain,
% 3.73/3.76 (E(a73,f24(f46(a73,a62),a13))),
% 3.73/3.76 inference(scs_inference,[],[189,175,914,883,614,900,624,642,236,219,201,255,3,150,234,224])).
% 3.73/3.76 cnf(989,plain,
% 3.73/3.76 (~P2(f46(f15(a73,a10),f15(a73,a10)),f1(a13))),
% 3.73/3.76 inference(scs_inference,[],[191,189,965,175,174,172,176,914,883,614,900,964,631,624,692,642,463,465,236,219,201,255,3,150,234,224,228,200,303,254,221,5,322])).
% 3.73/3.76 cnf(992,plain,
% 3.73/3.76 (P2(x9921,f14(x9921,x9922))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(995,plain,
% 3.73/3.76 (E(f46(x9951,a3),f46(x9951,f14(a9,a3)))),
% 3.73/3.76 inference(scs_inference,[],[191,189,965,175,967,179,174,172,176,914,883,614,900,964,631,624,692,642,463,465,236,219,201,255,3,150,234,224,228,200,303,254,221,5,322,132,149,2])).
% 3.73/3.76 cnf(998,plain,
% 3.73/3.76 (~P6(x9981,x9982,x9983)+~E(x9983,a2)),
% 3.73/3.76 inference(scs_inference,[],[191,189,965,175,967,179,992,174,172,176,914,883,614,900,964,631,624,692,642,463,465,410,236,219,201,255,3,150,234,224,228,200,303,254,221,5,322,132,149,2,131,159])).
% 3.73/3.76 cnf(1039,plain,
% 3.73/3.76 (P10(x10391,f14(x10392,f14(x10393,f14(x10394,x10391))))),
% 3.73/3.76 inference(scs_inference,[],[352,173,887,677,683,247,134,236,255])).
% 3.73/3.76 cnf(1044,plain,
% 3.73/3.76 (~P10(f14(f46(a9,x10441),x10442),a13)),
% 3.73/3.76 inference(scs_inference,[],[352,192,173,179,887,968,677,683,247,134,236,255,219,231])).
% 3.73/3.76 cnf(1045,plain,
% 3.73/3.76 (P2(x10451,f14(x10451,x10452))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1056,plain,
% 3.73/3.76 (P10(x10561,x10561)),
% 3.73/3.76 inference(rename_variables,[],[175])).
% 3.73/3.76 cnf(1057,plain,
% 3.73/3.76 (E(a3,f14(a9,a3))),
% 3.73/3.76 inference(scs_inference,[],[170,185,352,192,175,173,179,887,961,968,616,677,683,371,247,134,236,255,219,231,234,260,200,259,150,228])).
% 3.73/3.76 cnf(1062,plain,
% 3.73/3.76 (~E(f46(f46(a9,x10621),x10622),f46(f37(x10621,f14(f46(a9,x10621),a12),a3),x10621))),
% 3.73/3.76 inference(scs_inference,[],[170,185,190,352,192,175,173,179,887,961,968,616,677,683,371,247,134,236,255,219,231,234,260,200,259,150,228,224,3])).
% 3.73/3.76 cnf(1066,plain,
% 3.73/3.76 (E(f46(f46(x10661,a3),x10662),f46(f46(x10661,f14(a9,a3)),x10662))),
% 3.73/3.76 inference(scs_inference,[],[170,185,190,352,192,175,173,179,887,961,968,995,616,677,683,371,247,134,236,255,219,231,234,260,200,259,150,228,224,3,254,5])).
% 3.73/3.76 cnf(1072,plain,
% 3.73/3.76 (P2(x10721,f14(x10721,x10722))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1087,plain,
% 3.73/3.76 (~P2(f20(f46(f38(x10871),f29(x10872)),x10873,f58(x10874,x10875,x10876,x10877)),f58(x10874,x10875,x10876,x10877))),
% 3.73/3.76 inference(scs_inference,[],[170,185,194,190,352,192,175,1056,173,179,1045,1072,887,961,968,995,616,677,683,371,384,247,134,236,255,219,231,234,260,200,259,150,228,224,3,254,5,221,239,132,149,2,131,155,205,218,348,333,298])).
% 3.73/3.76 cnf(1093,plain,
% 3.73/3.76 (~P2(f46(x10931,f46(f38(x10932),f29(x10933))),f44(f58(x10934,x10935,x10936,x10937)))),
% 3.73/3.76 inference(scs_inference,[],[170,185,194,190,352,192,175,1056,173,179,1045,1072,887,961,968,995,616,677,683,371,384,247,134,236,255,219,231,234,260,200,259,150,228,224,3,254,5,221,239,132,149,2,131,155,205,218,348,333,298,270,269,268])).
% 3.73/3.76 cnf(1096,plain,
% 3.73/3.76 (P2(x10961,f14(x10961,x10962))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1103,plain,
% 3.73/3.76 (~P2(f49(a3,f14(a2,a12)),f14(a2,a12))),
% 3.73/3.76 inference(scs_inference,[],[170,185,194,190,352,192,175,1056,173,179,1045,1072,1096,887,961,968,995,616,677,612,683,371,384,247,134,236,255,219,231,234,260,200,259,150,228,224,3,254,5,221,239,132,149,2,131,155,205,218,348,333,298,270,269,268,264,262,256,263])).
% 3.73/3.76 cnf(1235,plain,
% 3.73/3.76 (~E(f29(x12351),f38(x12352))),
% 3.73/3.76 inference(rename_variables,[],[183])).
% 3.73/3.76 cnf(1242,plain,
% 3.73/3.76 (E(f43(f46(f15(a11,a10),f15(a73,a10)),f14(f1(a13),a12)),f1(a13))),
% 3.73/3.76 inference(scs_inference,[],[183,1235,674,475,314,308,196,234])).
% 3.73/3.76 cnf(1256,plain,
% 3.73/3.76 (P10(a12,x12561)),
% 3.73/3.76 inference(rename_variables,[],[174])).
% 3.73/3.76 cnf(1265,plain,
% 3.73/3.76 (E(f46(f46(x12651,a3),x12652),f46(f46(x12651,f14(a9,a3)),x12652))),
% 3.73/3.76 inference(rename_variables,[],[1066])).
% 3.73/3.76 cnf(1272,plain,
% 3.73/3.76 (~P2(f15(a73,a10),a3)),
% 3.73/3.76 inference(scs_inference,[],[183,1235,174,172,1087,989,1066,1062,917,1103,923,1044,674,971,995,475,638,645,368,314,308,196,234,236,255,219,259,224,228,200,153,254,3,150,221,5,239])).
% 3.73/3.76 cnf(1276,plain,
% 3.73/3.76 (P10(a12,x12761)),
% 3.73/3.76 inference(rename_variables,[],[174])).
% 3.73/3.76 cnf(1279,plain,
% 3.73/3.76 (P2(x12791,f14(x12791,x12792))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1281,plain,
% 3.73/3.76 (~P8(f15(a73,a10),x12811,x12812)),
% 3.73/3.76 inference(scs_inference,[],[183,1235,174,1256,179,172,1087,989,1066,1265,1062,917,1103,923,1044,674,971,995,475,638,645,368,314,308,196,234,236,255,219,259,224,228,200,153,254,3,150,221,5,239,132,149,2,131,998,276])).
% 3.73/3.76 cnf(1283,plain,
% 3.73/3.76 (~P7(x12831,f15(a73,a10),x12832)),
% 3.73/3.76 inference(scs_inference,[],[183,1235,174,1256,179,172,1087,989,1066,1265,1062,917,1103,923,1044,674,971,995,475,638,645,368,314,308,196,234,236,255,219,259,224,228,200,153,254,3,150,221,5,239,132,149,2,131,998,276,275])).
% 3.73/3.76 cnf(1285,plain,
% 3.73/3.76 (~P6(x12851,f15(a73,a10),x12852)),
% 3.73/3.76 inference(scs_inference,[],[183,1235,174,1256,179,172,1087,989,1066,1265,1062,917,1103,923,1044,674,971,995,475,638,645,368,314,308,196,234,236,255,219,259,224,228,200,153,254,3,150,221,5,239,132,149,2,131,998,276,275,274])).
% 3.73/3.76 cnf(1287,plain,
% 3.73/3.76 (~P5(x12871,f15(a73,a10),x12872)),
% 3.73/3.76 inference(scs_inference,[],[183,1235,174,1256,179,172,1087,989,1066,1265,1062,917,1103,923,1044,674,971,995,475,638,645,368,314,308,196,234,236,255,219,259,224,228,200,153,254,3,150,221,5,239,132,149,2,131,998,276,275,274,273])).
% 3.73/3.76 cnf(1306,plain,
% 3.73/3.76 (P2(x13061,f14(x13061,x13062))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1309,plain,
% 3.73/3.76 (P2(x13091,f14(x13091,x13092))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1317,plain,
% 3.73/3.76 (P10(f14(a2,a12),a3)),
% 3.73/3.76 inference(scs_inference,[],[170,183,1235,351,352,191,174,1256,1276,179,1279,1306,1309,172,1087,1093,989,1066,1265,1062,917,1103,923,1044,674,933,706,704,377,379,971,668,995,475,638,645,368,314,308,196,234,236,255,219,259,224,228,200,153,254,3,150,221,5,239,132,149,2,131,998,276,275,274,273,272,154,147,146,145,140,139,137,286,296,204,242,307,350,297,266])).
% 3.73/3.76 cnf(1355,plain,
% 3.73/3.76 (E(f58(a3,x13551,x13552,x13553),f58(f14(a9,a3),x13551,x13552,x13553))),
% 3.73/3.76 inference(scs_inference,[],[170,183,1235,351,352,191,174,1256,1276,179,1279,1306,1309,172,1087,1093,989,1066,1265,1062,917,1103,1057,923,1044,674,933,706,704,377,379,971,668,995,475,638,645,368,314,308,196,234,236,255,219,259,224,228,200,153,254,3,150,221,5,239,132,149,2,131,998,276,275,274,273,272,154,147,146,145,140,139,137,286,296,204,242,307,350,297,266,127,124,123,121,115,114,111,110,108,107,105,104,103,98,97,92,91,90,88,86,84,82,79,75,69,68,63,58,56,55,54,53,51,50,49,45])).
% 3.73/3.76 cnf(1503,plain,
% 3.73/3.76 (P2(x15031,f14(x15031,x15032))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1515,plain,
% 3.73/3.76 (P2(x15151,f14(x15151,x15152))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.76 cnf(1518,plain,
% 3.73/3.76 (P2(x15181,f14(x15181,x15182))),
% 3.73/3.76 inference(rename_variables,[],[179])).
% 3.73/3.77 cnf(1525,plain,
% 3.73/3.77 (P2(x15251,f14(x15251,x15252))),
% 3.73/3.77 inference(rename_variables,[],[179])).
% 3.73/3.77 cnf(1561,plain,
% 3.73/3.77 ($false),
% 3.73/3.77 inference(scs_inference,[],[171,186,353,190,189,174,352,179,1503,1515,1518,1525,192,180,178,191,172,1281,1283,1285,1287,1355,1272,1317,602,1242,608,1039,1093,375,147,307,297,266,242,306,350,243,294,265,305,289,250,271,229,320,247,311,325,201,255,219,196,234,228,236,259]),
% 3.73/3.77 ['proof']).
% 3.73/3.77 % SZS output end Proof
% 3.73/3.77 % Total time :3.020000s
%------------------------------------------------------------------------------