TSTP Solution File: GEO007-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO007-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 22:42:21 EDT 2023
% Result : Unsatisfiable 1.27s 1.35s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO007-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n009.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
% 0.13/0.33 % DateTime : Tue Aug 29 21:20:35 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 1.27/1.34 %-------------------------------------------
% 1.27/1.34 % File :CSE---1.6
% 1.27/1.34 % Problem :theBenchmark
% 1.27/1.34 % Transform :cnf
% 1.27/1.34 % Format :tptp:raw
% 1.27/1.34 % Command :java -jar mcs_scs.jar %d %s
% 1.27/1.34
% 1.27/1.34 % Result :Theorem 0.710000s
% 1.27/1.34 % Output :CNFRefutation 0.710000s
% 1.27/1.34 %-------------------------------------------
% 1.27/1.34 %--------------------------------------------------------------------------
% 1.27/1.34 % File : GEO007-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 1.27/1.34 % Domain : Geometry
% 1.27/1.34 % Problem : Betweenness for 4 points on a line
% 1.27/1.34 % Version : [Qua89] axioms : Augmented.
% 1.27/1.34 % English : For all pairs of distinct points y and z, if w and x are
% 1.27/1.34 % on the line yz to the left of y (i.e. not between y and z),
% 1.27/1.34 % then either w is betweeen x and y or x is between w and y.
% 1.27/1.34
% 1.27/1.34 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 1.27/1.34 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 1.27/1.34 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 1.27/1.34 % Source : [Qua89]
% 1.27/1.34 % Names : T7 [Qua89]
% 1.27/1.34
% 1.27/1.34 % Status : Unsatisfiable
% 1.27/1.34 % Rating : 0.14 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.36 v4.1.0, 0.31 v4.0.1, 0.55 v4.0.0, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.18 v2.7.0, 0.33 v2.5.0, 0.27 v2.4.0, 0.50 v2.3.0, 0.38 v2.2.1, 0.71 v2.2.0, 0.60 v2.1.0, 0.75 v2.0.0
% 1.27/1.34 % Syntax : Number of clauses : 83 ( 30 unt; 17 nHn; 61 RR)
% 1.27/1.34 % Number of literals : 218 ( 46 equ; 124 neg)
% 1.27/1.34 % Maximal clause size : 8 ( 2 avg)
% 1.27/1.34 % Maximal term depth : 3 ( 1 avg)
% 1.27/1.34 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 1.27/1.34 % Number of functors : 14 ( 14 usr; 7 con; 0-6 aty)
% 1.27/1.34 % Number of variables : 285 ( 14 sgn)
% 1.27/1.34 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.27/1.34
% 1.27/1.34 % Comments :
% 1.27/1.34 % Bugfixes : v1.2.1 - Clause d12 fixed.
% 1.27/1.34 %--------------------------------------------------------------------------
% 1.27/1.34 %----Include Tarski geometry axioms
% 1.27/1.34 include('Axioms/GEO002-0.ax').
% 1.27/1.34 %----Include definition of reflection
% 1.27/1.34 include('Axioms/GEO002-2.ax').
% 1.27/1.34 %----Include definition of insertion
% 1.27/1.34 include('Axioms/GEO002-3.ax').
% 1.27/1.34 %--------------------------------------------------------------------------
% 1.27/1.34 cnf(d1,axiom,
% 1.27/1.34 equidistant(U,V,U,V) ).
% 1.27/1.34
% 1.27/1.34 cnf(d2,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | equidistant(W,X,U,V) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d3,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | equidistant(V,U,W,X) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d4_1,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | equidistant(U,V,X,W) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d4_2,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | equidistant(V,U,X,W) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d4_3,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | equidistant(W,X,V,U) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d4_4,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | equidistant(X,W,U,V) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d4_5,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | equidistant(X,W,V,U) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d5,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,W,X)
% 1.27/1.34 | ~ equidistant(W,X,Y,Z)
% 1.27/1.34 | equidistant(U,V,Y,Z) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(e1,axiom,
% 1.27/1.34 V = extension(U,V,W,W) ).
% 1.27/1.34
% 1.27/1.34 cnf(b0,axiom,
% 1.27/1.34 ( Y != extension(U,V,W,X)
% 1.27/1.34 | between(U,V,Y) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(r2_1,axiom,
% 1.27/1.34 between(U,V,reflection(U,V)) ).
% 1.27/1.34
% 1.27/1.34 cnf(r2_2,axiom,
% 1.27/1.34 equidistant(V,reflection(U,V),U,V) ).
% 1.27/1.34
% 1.27/1.34 cnf(r3_1,axiom,
% 1.27/1.34 ( U != V
% 1.27/1.34 | V = reflection(U,V) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(r3_2,axiom,
% 1.27/1.34 U = reflection(U,U) ).
% 1.27/1.34
% 1.27/1.34 cnf(r4,axiom,
% 1.27/1.34 ( V != reflection(U,V)
% 1.27/1.34 | U = V ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d7,axiom,
% 1.27/1.34 equidistant(U,U,V,V) ).
% 1.27/1.34
% 1.27/1.34 cnf(d8,axiom,
% 1.27/1.34 ( ~ equidistant(U,V,U1,V1)
% 1.27/1.34 | ~ equidistant(V,W,V1,W1)
% 1.27/1.34 | ~ between(U,V,W)
% 1.27/1.34 | ~ between(U1,V1,W1)
% 1.27/1.34 | equidistant(U,W,U1,W1) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d9,axiom,
% 1.27/1.34 ( ~ between(U,V,W)
% 1.27/1.34 | ~ between(U,V,X)
% 1.27/1.34 | ~ equidistant(V,W,V,X)
% 1.27/1.34 | U = V
% 1.27/1.34 | W = X ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d10_1,axiom,
% 1.27/1.34 ( ~ between(U,V,W)
% 1.27/1.34 | U = V
% 1.27/1.34 | W = extension(U,V,V,W) ) ).
% 1.27/1.34
% 1.27/1.34 cnf(d10_2,axiom,
% 1.27/1.34 ( ~ equidistant(W,X,Y,Z)
% 1.27/1.35 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 1.27/1.35 | U = V ) ).
% 1.27/1.35
% 1.27/1.35 cnf(d10_3,axiom,
% 1.27/1.35 ( extension(U,V,U,V) = extension(U,V,V,U)
% 1.27/1.35 | U = V ) ).
% 1.27/1.35
% 1.27/1.35 cnf(r5,axiom,
% 1.27/1.35 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 1.27/1.35
% 1.27/1.35 cnf(r6,axiom,
% 1.27/1.35 U = reflection(reflection(U,V),V) ).
% 1.27/1.35
% 1.27/1.35 cnf(t3,axiom,
% 1.27/1.35 between(U,V,V) ).
% 1.27/1.35
% 1.27/1.35 cnf(b1,axiom,
% 1.27/1.35 ( ~ between(U,W,X)
% 1.27/1.35 | U != X
% 1.27/1.35 | between(V,W,X) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(t1,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | between(W,V,U) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(t2,axiom,
% 1.27/1.35 between(U,U,V) ).
% 1.27/1.35
% 1.27/1.35 cnf(b2,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(V,U,W)
% 1.27/1.35 | U = V ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b3,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U,W,V)
% 1.27/1.35 | V = W ) ).
% 1.27/1.35
% 1.27/1.35 cnf(t6_1,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(V,U,W)
% 1.27/1.35 | U = V
% 1.27/1.35 | V = W ) ).
% 1.27/1.35
% 1.27/1.35 cnf(t6_2,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U,W,V)
% 1.27/1.35 | U = V
% 1.27/1.35 | V = W ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b4,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(V,W,X)
% 1.27/1.35 | between(U,V,W) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b5,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U,W,X)
% 1.27/1.35 | between(V,W,X) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b6,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(V,W,X)
% 1.27/1.35 | between(U,W,X)
% 1.27/1.35 | V = W ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b7,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(V,W,X)
% 1.27/1.35 | between(U,V,X)
% 1.27/1.35 | V = W ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b8,axiom,
% 1.27/1.35 ( ~ between(U,V,X)
% 1.27/1.35 | ~ between(V,W,X)
% 1.27/1.35 | between(U,W,X) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b9,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U,W,X)
% 1.27/1.35 | between(U,V,X) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(e2_1,axiom,
% 1.27/1.35 lower_dimension_point_1 != lower_dimension_point_2 ).
% 1.27/1.35
% 1.27/1.35 cnf(e2_2,axiom,
% 1.27/1.35 lower_dimension_point_2 != lower_dimension_point_3 ).
% 1.27/1.35
% 1.27/1.35 cnf(e2_3,axiom,
% 1.27/1.35 lower_dimension_point_1 != lower_dimension_point_3 ).
% 1.27/1.35
% 1.27/1.35 cnf(e3_1,axiom,
% 1.27/1.35 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 1.27/1.35
% 1.27/1.35 cnf(e3_2,axiom,
% 1.27/1.35 equidistant(V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2),X,extension(W,X,lower_dimension_point_1,lower_dimension_point_2)) ).
% 1.27/1.35
% 1.27/1.35 cnf(e3_3,axiom,
% 1.27/1.35 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 1.27/1.35
% 1.27/1.35 cnf(b10,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U1,V1,W)
% 1.27/1.35 | ~ between(U,X,U1)
% 1.27/1.35 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 1.27/1.35 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(d11,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ equidistant(U,W,U,W1)
% 1.27/1.35 | ~ equidistant(V,W,V,W1)
% 1.27/1.35 | U = V
% 1.27/1.35 | W = W1 ) ).
% 1.27/1.35
% 1.27/1.35 cnf(d12,axiom,
% 1.27/1.35 ( ~ equidistant(U,V,U1,V1)
% 1.27/1.35 | ~ equidistant(U,W,U1,W1)
% 1.27/1.35 | ~ equidistant(U,X,U1,X1)
% 1.27/1.35 | ~ equidistant(W,X,W1,X1)
% 1.27/1.35 | ~ between(U,V,W)
% 1.27/1.35 | ~ between(U1,V1,W1)
% 1.27/1.35 | equidistant(V,X,V1,X1) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(d13,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U1,V1,W1)
% 1.27/1.35 | ~ equidistant(U,V,U1,V1)
% 1.27/1.35 | ~ equidistant(U,W,U1,W1)
% 1.27/1.35 | equidistant(V,W,V1,W1) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(d14,axiom,
% 1.27/1.35 ( ~ equidistant(U,V,U1,V1)
% 1.27/1.35 | ~ equidistant(V,W,V1,W1)
% 1.27/1.35 | ~ equidistant(U,X,U1,X1)
% 1.27/1.35 | ~ equidistant(W,X,W1,X1)
% 1.27/1.35 | ~ between(U,V,W)
% 1.27/1.35 | ~ between(U1,V1,W1)
% 1.27/1.35 | equidistant(V,X,V1,X1) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(d15,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ equidistant(U,V,U,X)
% 1.27/1.35 | ~ equidistant(W,V,W,X)
% 1.27/1.35 | V = X ) ).
% 1.27/1.35
% 1.27/1.35 cnf(i2_1,axiom,
% 1.27/1.35 equidistant(U,V,U1,insertion(U1,W1,U,V)) ).
% 1.27/1.35
% 1.27/1.35 cnf(i2_2,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ equidistant(U,W,U1,W1)
% 1.27/1.35 | between(U1,insertion(U1,W1,U,V),W1) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(i2_3,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ equidistant(U,W,U1,W1)
% 1.27/1.35 | equidistant(V,W,insertion(U1,W1,U,V),W1) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(i3,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | V = insertion(U,W,U,V) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(i4,axiom,
% 1.27/1.35 ( ~ equidistant(W,X,Y,Z)
% 1.27/1.35 | insertion(U,V,W,X) = insertion(U,V,Y,Z) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b11,axiom,
% 1.27/1.35 ( ~ equidistant(U,V,U1,V1)
% 1.27/1.35 | ~ equidistant(V,W,V1,W1)
% 1.27/1.35 | ~ equidistant(U,W,U1,W1)
% 1.27/1.35 | ~ between(U,V,W)
% 1.27/1.35 | between(U1,V1,W1) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b12,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U,V,X)
% 1.27/1.35 | U = V
% 1.27/1.35 | between(U,W,X)
% 1.27/1.35 | between(U,X,W) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(b13,axiom,
% 1.27/1.35 ( ~ between(U,V,W)
% 1.27/1.35 | ~ between(U,V,X)
% 1.27/1.35 | U = V
% 1.27/1.35 | between(V,W,X)
% 1.27/1.35 | between(V,X,W) ) ).
% 1.27/1.35
% 1.27/1.35 cnf(a_not_c,hypothesis,
% 1.27/1.35 a != c ).
% 1.27/1.35
% 1.27/1.35 cnf(a_between_a_and_c,hypothesis,
% 1.27/1.35 between(d,a,c) ).
% 1.27/1.35
% 1.27/1.35 cnf(a_between_a_and_e,hypothesis,
% 1.27/1.35 between(e,a,c) ).
% 1.27/1.35
% 1.27/1.35 cnf(e_not_between_d_and_a,hypothesis,
% 1.27/1.35 ~ between(d,e,a) ).
% 1.27/1.35
% 1.27/1.35 cnf(prove_d_between_e_and_a,negated_conjecture,
% 1.27/1.35 ~ between(e,d,a) ).
% 1.27/1.35
% 1.27/1.35 %--------------------------------------------------------------------------
% 1.27/1.35 %-------------------------------------------
% 1.27/1.35 % Proof found
% 1.27/1.35 % SZS status Theorem for theBenchmark
% 1.27/1.35 % SZS output start Proof
% 1.27/1.35 %ClaNum:115(EqnAxiom:35)
% 1.27/1.35 %VarNum:733(SingletonVarNum:262)
% 1.27/1.35 %MaxLitNum:8
% 1.27/1.35 %MaxfuncDepth:2
% 1.27/1.35 %SharedTerms:18
% 1.27/1.35 %goalClause: 62
% 1.27/1.35 %singleGoalClaCount:1
% 1.27/1.35 [36]P1(a1,a2,a3)
% 1.27/1.35 [37]P1(a5,a2,a3)
% 1.27/1.35 [54]~E(a11,a9)
% 1.27/1.35 [55]~E(a12,a9)
% 1.27/1.35 [56]~E(a12,a11)
% 1.27/1.35 [57]~E(a3,a2)
% 1.27/1.35 [58]~P1(a9,a11,a12)
% 1.27/1.35 [59]~P1(a11,a12,a9)
% 1.27/1.35 [60]~P1(a12,a9,a11)
% 1.27/1.35 [61]~P1(a1,a5,a2)
% 1.27/1.35 [62]~P1(a5,a1,a2)
% 1.27/1.35 [38]P1(x381,x382,x382)
% 1.27/1.35 [39]P1(x391,x391,x392)
% 1.27/1.35 [40]P2(x401,x402,x402,x401)
% 1.27/1.35 [41]P2(x411,x412,x411,x412)
% 1.27/1.35 [42]P2(x421,x421,x422,x422)
% 1.27/1.35 [63]~E(f6(x631,x632,a9,a11),x632)
% 1.27/1.35 [51]E(f6(f6(x511,x512,x511,x512),x512,f6(x511,x512,x511,x512),x512),x511)
% 1.27/1.35 [53]P2(x531,x532,x531,f6(f6(x532,x531,x532,x531),x531,f6(x532,x531,x532,x531),x531))
% 1.27/1.35 [43]E(f6(x431,x432,x433,x433),x432)
% 1.27/1.35 [46]P1(x461,x462,f6(x461,x462,x463,x464))
% 1.27/1.35 [48]P2(x481,f6(x482,x481,x483,x484),x483,x484)
% 1.27/1.35 [50]P2(x501,f6(x502,x501,a9,a11),x503,f6(x504,x503,a9,a11))
% 1.27/1.35 [52]P2(x521,x522,x523,f6(f6(x524,x523,a9,a11),x523,x521,x522))
% 1.27/1.35 [64]~P1(x641,x642,x641)+E(x641,x642)
% 1.27/1.35 [76]~E(x761,x762)+E(f6(x761,x762,x761,x762),x762)
% 1.27/1.35 [81]E(x811,x812)+~E(f6(x812,x811,x812,x811),x811)
% 1.27/1.35 [83]E(x831,x832)+E(f6(x831,x832,x831,x832),f6(x831,x832,x832,x831))
% 1.27/1.35 [65]~P1(x653,x652,x651)+P1(x651,x652,x653)
% 1.27/1.35 [80]~P2(x801,x802,x803,x803)+E(x801,x802)
% 1.27/1.35 [92]~P1(x922,x923,x921)+E(f6(f6(x921,x922,a9,a11),x922,x922,x923),x923)
% 1.27/1.35 [85]~P2(x854,x853,x852,x851)+P2(x851,x852,x853,x854)
% 1.27/1.35 [86]~P2(x863,x864,x862,x861)+P2(x861,x862,x863,x864)
% 1.27/1.35 [87]~P2(x874,x873,x871,x872)+P2(x871,x872,x873,x874)
% 1.27/1.35 [88]~P2(x883,x884,x881,x882)+P2(x881,x882,x883,x884)
% 1.27/1.35 [89]~P2(x892,x891,x894,x893)+P2(x891,x892,x893,x894)
% 1.27/1.35 [90]~P2(x902,x901,x903,x904)+P2(x901,x902,x903,x904)
% 1.27/1.35 [91]~P2(x911,x912,x914,x913)+P2(x911,x912,x913,x914)
% 1.27/1.35 [82]P1(x821,x822,x823)+~E(x823,f6(x821,x822,x824,x825))
% 1.27/1.35 [102]~P2(x1023,x1024,x1025,x1026)+E(f6(f6(x1021,x1022,a9,a11),x1022,x1023,x1024),f6(f6(x1021,x1022,a9,a11),x1022,x1025,x1026))
% 1.27/1.35 [67]~P1(x673,x671,x672)+E(x671,x672)+~P1(x673,x672,x671)
% 1.27/1.35 [68]~P1(x681,x682,x683)+E(x681,x682)+~P1(x682,x681,x683)
% 1.27/1.35 [79]~P1(x791,x792,x793)+E(x791,x792)+E(f6(x791,x792,x792,x793),x793)
% 1.27/1.35 [66]~P1(x664,x662,x663)+P1(x661,x662,x663)+~E(x664,x663)
% 1.27/1.35 [71]~P1(x714,x711,x712)+P1(x711,x712,x713)+~P1(x714,x712,x713)
% 1.27/1.35 [72]~P1(x721,x724,x723)+P1(x721,x722,x723)+~P1(x724,x722,x723)
% 1.27/1.35 [73]~P1(x731,x732,x734)+P1(x731,x732,x733)+~P1(x731,x734,x733)
% 1.27/1.35 [108]~P1(x1085,x1081,x1084)+~P1(x1082,x1083,x1084)+P1(x1081,f10(x1082,x1083,x1084,x1081,x1085),x1082)
% 1.27/1.35 [109]~P1(x1095,x1094,x1093)+~P1(x1092,x1091,x1093)+P1(x1091,f10(x1092,x1091,x1093,x1094,x1095),x1095)
% 1.27/1.35 [106]~P2(x1063,x1065,x1061,x1062)+~P1(x1063,x1064,x1065)+P1(x1061,f6(f6(x1062,x1061,a9,a11),x1061,x1063,x1064),x1062)
% 1.27/1.35 [107]~P1(x1075,x1071,x1072)+~P2(x1075,x1072,x1074,x1073)+P2(x1071,x1072,f6(f6(x1073,x1074,a9,a11),x1074,x1075,x1071),x1073)
% 1.27/1.35 [96]~P2(x965,x966,x961,x962)+P2(x961,x962,x963,x964)+~P2(x965,x966,x963,x964)
% 1.27/1.35 [97]~P2(x971,x972,x975,x976)+P2(x971,x972,x973,x974)+~P2(x975,x976,x973,x974)
% 1.27/1.35 [95]~P2(x953,x954,x955,x956)+E(x951,x952)+E(f6(x951,x952,x953,x954),f6(x951,x952,x955,x956))
% 1.27/1.35 [74]~P1(x741,x742,x744)+~P1(x743,x741,x742)+E(x741,x742)+P1(x743,x742,x744)
% 1.27/1.35 [75]~P1(x751,x752,x754)+~P1(x753,x751,x752)+E(x751,x752)+P1(x753,x751,x754)
% 1.27/1.35 [93]~P2(x934,x931,x934,x932)+~P2(x933,x931,x933,x932)+E(x931,x932)+~P1(x933,x931,x934)
% 1.27/1.35 [110]~P1(x1104,x1102,x1103)+~P1(x1101,x1102,x1105)+E(x1101,x1102)+P1(x1101,x1103,f7(x1101,x1104,x1102,x1103,x1105))
% 1.27/1.35 [111]~P1(x1113,x1112,x1114)+~P1(x1111,x1112,x1115)+E(x1111,x1112)+P1(x1111,x1113,f8(x1111,x1113,x1112,x1114,x1115))
% 1.27/1.35 [112]~P1(x1123,x1122,x1124)+~P1(x1121,x1122,x1125)+E(x1121,x1122)+P1(f8(x1121,x1123,x1122,x1124,x1125),x1125,f7(x1121,x1123,x1122,x1124,x1125))
% 1.27/1.35 [77]P1(x772,x774,x773)+~P1(x771,x772,x773)+~P1(x771,x772,x774)+E(x771,x772)+P1(x772,x773,x774)
% 1.27/1.35 [78]P1(x781,x784,x783)+~P1(x781,x782,x783)+~P1(x781,x782,x784)+E(x781,x782)+P1(x781,x783,x784)
% 1.27/1.35 [84]~P1(x843,x844,x842)+~P1(x843,x844,x841)+~P2(x844,x841,x844,x842)+E(x841,x842)+E(x843,x844)
% 1.27/1.35 [94]~P1(x943,x944,x941)+~P2(x944,x941,x944,x942)+~P2(x943,x941,x943,x942)+E(x941,x942)+E(x943,x944)
% 1.27/1.35 [98]~P2(x986,x982,x985,x984)+~P2(x986,x981,x985,x983)+P2(x981,x982,x983,x984)+~P1(x985,x983,x984)+~P1(x986,x981,x982)
% 1.27/1.35 [99]~P2(x996,x992,x995,x994)+~P2(x991,x996,x993,x995)+P2(x991,x992,x993,x994)+~P1(x993,x995,x994)+~P1(x991,x996,x992)
% 1.27/1.35 [100]~P2(x1005,x1006,x1002,x1003)+~P2(x1004,x1006,x1001,x1003)+~P2(x1004,x1005,x1001,x1002)+P1(x1001,x1002,x1003)+~P1(x1004,x1005,x1006)
% 1.27/1.35 [113]~P1(x1133,x1134,x1135)+~P1(x1132,x1133,x1135)+~P2(x1132,x1135,x1132,x1136)+~P2(x1132,x1133,x1132,x1131)+P1(x1131,f4(x1132,x1133,x1131,x1134,x1135,x1136),x1136)
% 1.27/1.35 [114]~P1(x1143,x1142,x1145)+~P1(x1141,x1143,x1145)+~P2(x1141,x1145,x1141,x1146)+~P2(x1141,x1143,x1141,x1144)+P2(x1141,x1142,x1141,f4(x1141,x1143,x1144,x1142,x1145,x1146))
% 1.27/1.36 [115]~P1(x1154,x1152,x1155)+~P1(x1153,x1151,x1154)+~P1(x1153,x1156,x1155)+P1(x1151,f10(x1152,f10(x1153,x1151,x1154,x1152,x1155),x1153,x1156,x1155),x1155)+P1(x1156,f10(x1152,f10(x1153,x1151,x1154,x1152,x1155),x1153,x1156,x1155),x1152)
% 1.27/1.36 [101]P1(x1015,x1013,x1014)+P1(x1014,x1015,x1013)+~P2(x1013,x1011,x1013,x1012)+~P2(x1015,x1011,x1015,x1012)+~P2(x1014,x1011,x1014,x1012)+E(x1011,x1012)+P1(x1013,x1014,x1015)
% 1.27/1.36 [103]~P2(x1038,x1032,x1036,x1034)+~P2(x1031,x1038,x1033,x1036)+~P2(x1037,x1032,x1035,x1034)+~P2(x1037,x1031,x1035,x1033)+P2(x1031,x1032,x1033,x1034)+~P1(x1035,x1033,x1036)+~P1(x1037,x1031,x1038)
% 1.27/1.36 [104]~P2(x1048,x1042,x1046,x1044)+~P2(x1047,x1042,x1045,x1044)+~P2(x1047,x1048,x1045,x1046)+~P2(x1047,x1041,x1045,x1043)+P2(x1041,x1042,x1043,x1044)+~P1(x1045,x1043,x1046)+~P1(x1047,x1041,x1048)
% 1.27/1.36 [105]~P1(x1051,x1052,x1053)+~P2(x1052,x1054,x1058,x1056)+~P2(x1052,x1053,x1058,x1055)+~P2(x1051,x1054,x1057,x1056)+~P2(x1051,x1052,x1057,x1058)+E(x1051,x1052)+P2(x1053,x1054,x1055,x1056)+~P1(x1057,x1058,x1055)
% 1.27/1.36 %EqnAxiom
% 1.27/1.36 [1]E(x11,x11)
% 1.27/1.36 [2]E(x22,x21)+~E(x21,x22)
% 1.27/1.36 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.27/1.36 [4]~E(x41,x42)+E(f6(x41,x43,x44,x45),f6(x42,x43,x44,x45))
% 1.27/1.36 [5]~E(x51,x52)+E(f6(x53,x51,x54,x55),f6(x53,x52,x54,x55))
% 1.27/1.36 [6]~E(x61,x62)+E(f6(x63,x64,x61,x65),f6(x63,x64,x62,x65))
% 1.27/1.36 [7]~E(x71,x72)+E(f6(x73,x74,x75,x71),f6(x73,x74,x75,x72))
% 1.27/1.36 [8]~E(x81,x82)+E(f10(x81,x83,x84,x85,x86),f10(x82,x83,x84,x85,x86))
% 1.27/1.36 [9]~E(x91,x92)+E(f10(x93,x91,x94,x95,x96),f10(x93,x92,x94,x95,x96))
% 1.27/1.36 [10]~E(x101,x102)+E(f10(x103,x104,x101,x105,x106),f10(x103,x104,x102,x105,x106))
% 1.27/1.36 [11]~E(x111,x112)+E(f10(x113,x114,x115,x111,x116),f10(x113,x114,x115,x112,x116))
% 1.27/1.36 [12]~E(x121,x122)+E(f10(x123,x124,x125,x126,x121),f10(x123,x124,x125,x126,x122))
% 1.27/1.36 [13]~E(x131,x132)+E(f7(x131,x133,x134,x135,x136),f7(x132,x133,x134,x135,x136))
% 1.27/1.36 [14]~E(x141,x142)+E(f7(x143,x141,x144,x145,x146),f7(x143,x142,x144,x145,x146))
% 1.27/1.36 [15]~E(x151,x152)+E(f7(x153,x154,x151,x155,x156),f7(x153,x154,x152,x155,x156))
% 1.27/1.36 [16]~E(x161,x162)+E(f7(x163,x164,x165,x161,x166),f7(x163,x164,x165,x162,x166))
% 1.27/1.36 [17]~E(x171,x172)+E(f7(x173,x174,x175,x176,x171),f7(x173,x174,x175,x176,x172))
% 1.27/1.36 [18]~E(x181,x182)+E(f8(x181,x183,x184,x185,x186),f8(x182,x183,x184,x185,x186))
% 1.27/1.36 [19]~E(x191,x192)+E(f8(x193,x191,x194,x195,x196),f8(x193,x192,x194,x195,x196))
% 1.27/1.36 [20]~E(x201,x202)+E(f8(x203,x204,x201,x205,x206),f8(x203,x204,x202,x205,x206))
% 1.27/1.36 [21]~E(x211,x212)+E(f8(x213,x214,x215,x211,x216),f8(x213,x214,x215,x212,x216))
% 1.27/1.36 [22]~E(x221,x222)+E(f8(x223,x224,x225,x226,x221),f8(x223,x224,x225,x226,x222))
% 1.27/1.36 [23]~E(x231,x232)+E(f4(x231,x233,x234,x235,x236,x237),f4(x232,x233,x234,x235,x236,x237))
% 1.27/1.36 [24]~E(x241,x242)+E(f4(x243,x241,x244,x245,x246,x247),f4(x243,x242,x244,x245,x246,x247))
% 1.27/1.36 [25]~E(x251,x252)+E(f4(x253,x254,x251,x255,x256,x257),f4(x253,x254,x252,x255,x256,x257))
% 1.27/1.36 [26]~E(x261,x262)+E(f4(x263,x264,x265,x261,x266,x267),f4(x263,x264,x265,x262,x266,x267))
% 1.27/1.36 [27]~E(x271,x272)+E(f4(x273,x274,x275,x276,x271,x277),f4(x273,x274,x275,x276,x272,x277))
% 1.27/1.36 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x287,x281),f4(x283,x284,x285,x286,x287,x282))
% 1.27/1.36 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 1.27/1.36 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 1.27/1.36 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 1.27/1.36 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 1.27/1.36 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 1.27/1.36 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 1.27/1.36 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 1.27/1.36
% 1.27/1.36 %-------------------------------------------
% 1.27/1.36 cnf(116,plain,
% 1.27/1.36 (E(x1161,f6(x1162,x1161,x1163,x1163))),
% 1.27/1.36 inference(scs_inference,[],[43,2])).
% 1.27/1.36 cnf(117,plain,
% 1.27/1.36 (~P2(a11,a9,x1171,x1171)),
% 1.27/1.36 inference(scs_inference,[],[54,43,2,80])).
% 1.27/1.36 cnf(119,plain,
% 1.27/1.36 (~P1(a2,a1,a5)),
% 1.27/1.36 inference(scs_inference,[],[62,54,43,2,80,65])).
% 1.27/1.36 cnf(121,plain,
% 1.27/1.36 (~P1(a11,a9,a11)),
% 1.27/1.36 inference(scs_inference,[],[62,54,43,2,80,65,64])).
% 1.27/1.36 cnf(123,plain,
% 1.27/1.36 (P1(x1231,x1232,f6(x1233,f6(x1231,x1232,x1234,x1235),x1236,x1236))),
% 1.27/1.36 inference(scs_inference,[],[62,54,43,2,80,65,64,82])).
% 1.27/1.36 cnf(124,plain,
% 1.27/1.36 (E(f6(x1241,x1242,x1243,x1243),x1242)),
% 1.27/1.36 inference(rename_variables,[],[43])).
% 1.27/1.36 cnf(129,plain,
% 1.27/1.36 (P2(x1291,x1291,f6(x1292,x1293,x1294,x1294),x1293)),
% 1.27/1.36 inference(scs_inference,[],[62,42,54,43,124,63,2,80,65,64,82,76,35])).
% 1.27/1.36 cnf(130,plain,
% 1.27/1.36 (P2(x1301,x1301,x1302,x1302)),
% 1.27/1.36 inference(rename_variables,[],[42])).
% 1.27/1.36 cnf(131,plain,
% 1.27/1.36 (P2(x1311,x1311,x1312,f6(x1313,x1312,x1314,x1314))),
% 1.27/1.36 inference(scs_inference,[],[62,42,130,54,43,124,63,2,80,65,64,82,76,35,34])).
% 1.27/1.36 cnf(134,plain,
% 1.27/1.36 (P2(x1341,f6(x1342,x1341,x1343,x1344),x1343,x1344)),
% 1.27/1.36 inference(rename_variables,[],[48])).
% 1.27/1.36 cnf(135,plain,
% 1.27/1.36 (P2(x1351,f6(x1352,f6(x1353,x1351,x1354,x1354),x1355,x1356),x1355,x1356)),
% 1.27/1.36 inference(scs_inference,[],[62,42,130,54,48,134,43,124,63,2,80,65,64,82,76,35,34,33,32])).
% 1.27/1.36 cnf(136,plain,
% 1.27/1.36 (P2(x1361,f6(x1362,x1361,x1363,x1364),x1363,x1364)),
% 1.27/1.36 inference(rename_variables,[],[48])).
% 1.27/1.36 cnf(137,plain,
% 1.27/1.36 (~E(a1,a2)),
% 1.27/1.36 inference(scs_inference,[],[62,42,130,38,54,48,134,43,124,63,2,80,65,64,82,76,35,34,33,32,31])).
% 1.27/1.36 cnf(138,plain,
% 1.27/1.36 (P1(x1381,x1382,x1382)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(139,plain,
% 1.27/1.36 (~E(a2,a1)),
% 1.27/1.36 inference(scs_inference,[],[62,42,130,38,138,54,48,134,43,124,63,2,80,65,64,82,76,35,34,33,32,31,30])).
% 1.27/1.36 cnf(140,plain,
% 1.27/1.36 (P1(x1401,x1402,x1402)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(142,plain,
% 1.27/1.36 (P1(x1421,x1421,x1422)),
% 1.27/1.36 inference(rename_variables,[],[39])).
% 1.27/1.36 cnf(144,plain,
% 1.27/1.36 (E(f6(x1441,x1442,x1443,x1443),x1442)),
% 1.27/1.36 inference(rename_variables,[],[43])).
% 1.27/1.36 cnf(145,plain,
% 1.27/1.36 (P2(f6(x1451,x1452,x1453,x1454),x1452,x1453,x1454)),
% 1.27/1.36 inference(scs_inference,[],[62,40,42,130,38,138,39,54,48,134,136,43,124,63,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97])).
% 1.27/1.36 cnf(146,plain,
% 1.27/1.36 (P2(x1461,f6(x1462,x1461,x1463,x1464),x1463,x1464)),
% 1.27/1.36 inference(rename_variables,[],[48])).
% 1.27/1.36 cnf(147,plain,
% 1.27/1.36 (P2(x1471,x1472,x1472,x1471)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(149,plain,
% 1.27/1.36 (P2(f6(x1491,x1492,a9,a11),x1492,x1493,f6(x1494,x1493,a9,a11))),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,42,130,38,138,39,54,48,134,136,43,124,63,50,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96])).
% 1.27/1.36 cnf(151,plain,
% 1.27/1.36 (P2(x1511,x1512,x1512,x1511)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(154,plain,
% 1.27/1.36 (P1(x1541,x1542,x1542)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(157,plain,
% 1.27/1.36 (P1(x1571,x1571,x1572)),
% 1.27/1.36 inference(rename_variables,[],[39])).
% 1.27/1.36 cnf(160,plain,
% 1.27/1.36 (P1(x1601,x1602,x1602)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(161,plain,
% 1.27/1.36 (P1(x1611,x1611,x1612)),
% 1.27/1.36 inference(rename_variables,[],[39])).
% 1.27/1.36 cnf(162,plain,
% 1.27/1.36 (P2(x1621,x1622,x1622,x1621)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(165,plain,
% 1.27/1.36 (P1(x1651,x1652,x1652)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(168,plain,
% 1.27/1.36 (P1(x1681,x1682,x1682)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(169,plain,
% 1.27/1.36 (P1(x1691,x1692,f6(x1691,x1692,x1693,x1694))),
% 1.27/1.36 inference(rename_variables,[],[46])).
% 1.27/1.36 cnf(170,plain,
% 1.27/1.36 (P2(x1701,x1702,x1702,x1701)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(171,plain,
% 1.27/1.36 (P2(x1711,f6(x1712,x1711,x1713,x1714),x1713,x1714)),
% 1.27/1.36 inference(rename_variables,[],[48])).
% 1.27/1.36 cnf(172,plain,
% 1.27/1.36 (P2(x1721,x1722,x1723,f6(f6(x1724,x1723,a9,a11),x1723,x1721,x1722))),
% 1.27/1.36 inference(rename_variables,[],[52])).
% 1.27/1.36 cnf(178,plain,
% 1.27/1.36 (P2(f6(x1781,x1782,x1783,x1784),x1782,x1784,x1783)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,42,130,38,138,140,154,160,165,39,142,157,54,55,48,134,136,146,171,46,43,124,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89])).
% 1.27/1.36 cnf(180,plain,
% 1.27/1.36 (P2(x1801,x1802,x1803,f6(x1804,x1803,x1801,x1802))),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,42,130,38,138,140,154,160,165,39,142,157,54,55,48,134,136,146,171,46,43,124,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88])).
% 1.27/1.36 cnf(182,plain,
% 1.27/1.36 (P2(x1821,x1822,f6(x1823,x1824,x1821,x1822),x1824)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,42,130,38,138,140,154,160,165,39,142,157,54,55,48,134,136,146,171,46,43,124,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87])).
% 1.27/1.36 cnf(184,plain,
% 1.27/1.36 (P2(x1841,x1842,x1843,f6(x1844,x1843,x1842,x1841))),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,42,130,38,138,140,154,160,165,39,142,157,54,55,48,134,136,146,171,46,43,124,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86])).
% 1.27/1.36 cnf(215,plain,
% 1.27/1.36 (~E(f6(a9,a12,a9,a12),a12)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,42,130,38,138,140,154,160,165,39,142,157,54,55,48,134,136,146,171,46,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81])).
% 1.27/1.36 cnf(221,plain,
% 1.27/1.36 (~P1(a5,f6(a5,a1,x2211,x2212),a2)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,42,130,38,138,140,154,160,165,168,39,142,157,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73])).
% 1.27/1.36 cnf(225,plain,
% 1.27/1.36 (P1(x2251,x2252,x2252)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(227,plain,
% 1.27/1.36 (~E(a1,a3)+P1(x2271,a2,a3)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,42,130,38,138,140,154,160,165,168,39,142,157,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66])).
% 1.27/1.36 cnf(229,plain,
% 1.27/1.36 (P1(x2291,f10(x2292,x2291,x2291,x2291,x2292),x2292)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,42,130,38,138,140,154,160,165,168,225,39,142,157,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109])).
% 1.27/1.36 cnf(231,plain,
% 1.27/1.36 (P1(x2311,f10(x2312,x2313,x2313,x2311,x2311),x2312)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,42,130,38,138,140,154,160,165,168,225,39,142,157,161,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108])).
% 1.27/1.36 cnf(232,plain,
% 1.27/1.36 (P1(x2321,x2321,x2322)),
% 1.27/1.36 inference(rename_variables,[],[39])).
% 1.27/1.36 cnf(234,plain,
% 1.27/1.36 (P2(x2341,x2341,f6(f6(x2342,x2341,a9,a11),x2341,x2342,x2341),x2342)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,42,130,38,138,140,154,160,165,168,225,39,142,157,161,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108,107])).
% 1.27/1.36 cnf(235,plain,
% 1.27/1.36 (P1(x2351,x2352,x2352)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(237,plain,
% 1.27/1.36 (P1(x2371,f6(f6(x2372,x2371,a9,a11),x2371,x2372,x2371),x2372)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,42,130,38,138,140,154,160,165,168,225,235,39,142,157,161,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108,107,106])).
% 1.27/1.36 cnf(238,plain,
% 1.27/1.36 (P2(x2381,x2382,x2382,x2381)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(244,plain,
% 1.27/1.36 (P1(x2441,x2442,x2442)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(248,plain,
% 1.27/1.36 (P1(x2481,x2482,x2482)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(250,plain,
% 1.27/1.36 (P2(x2501,x2501,x2501,f4(x2501,x2501,x2501,x2501,x2501,x2501))),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,238,42,130,38,138,140,154,160,165,168,225,235,244,248,39,142,157,161,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108,107,106,95,110,112,114])).
% 1.27/1.36 cnf(253,plain,
% 1.27/1.36 (P1(x2531,x2532,x2532)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(254,plain,
% 1.27/1.36 (P2(x2541,x2542,x2542,x2541)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(256,plain,
% 1.27/1.36 (P1(x2561,f4(x2561,x2561,x2561,x2561,x2561,x2561),x2561)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,238,254,42,130,38,138,140,154,160,165,168,225,235,244,248,253,39,142,157,161,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108,107,106,95,110,112,114,113])).
% 1.27/1.36 cnf(257,plain,
% 1.27/1.36 (P1(x2571,x2572,x2572)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(259,plain,
% 1.27/1.36 (P1(x2591,x2592,x2592)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(260,plain,
% 1.27/1.36 (P2(x2601,x2602,x2602,x2601)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(263,plain,
% 1.27/1.36 (P1(x2631,x2631,x2632)),
% 1.27/1.36 inference(rename_variables,[],[39])).
% 1.27/1.36 cnf(273,plain,
% 1.27/1.36 (P1(x2731,x2732,x2732)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(275,plain,
% 1.27/1.36 (P1(x2751,a3,a2)+~P2(a1,a2,x2751,a3)+~P2(a1,a3,x2751,a2)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,238,254,260,42,130,38,138,140,154,160,165,168,225,235,244,248,253,259,257,39,142,157,161,232,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108,107,106,95,110,112,114,113,71,79,93,111,100])).
% 1.27/1.36 cnf(276,plain,
% 1.27/1.36 (P2(x2761,x2762,x2762,x2761)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(279,plain,
% 1.27/1.36 (P2(x2791,x2792,x2792,x2791)),
% 1.27/1.36 inference(rename_variables,[],[40])).
% 1.27/1.36 cnf(282,plain,
% 1.27/1.36 (P1(x2821,f10(x2821,f10(x2821,x2821,x2821,x2821,x2821),x2821,x2821,x2821),x2821)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,238,254,260,276,42,130,38,138,140,154,160,165,168,225,235,244,248,253,259,273,257,39,142,157,161,232,263,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108,107,106,95,110,112,114,113,71,79,93,111,100,99,115])).
% 1.27/1.36 cnf(285,plain,
% 1.27/1.36 (P1(x2851,x2852,x2852)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(287,plain,
% 1.27/1.36 (P2(x2871,x2871,f4(x2871,x2871,x2871,x2871,x2871,x2871),x2871)),
% 1.27/1.36 inference(scs_inference,[],[62,40,147,151,162,170,238,254,260,276,279,42,130,38,138,140,154,160,165,168,225,235,244,248,253,259,273,285,257,39,142,157,161,232,263,36,54,55,48,134,136,146,171,46,169,43,124,144,63,50,52,172,2,80,65,64,82,76,35,34,33,32,31,30,29,3,97,96,68,67,98,84,103,91,90,89,88,87,86,85,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,102,81,92,83,73,72,66,109,108,107,106,95,110,112,114,113,71,79,93,111,100,99,115,104])).
% 1.27/1.36 cnf(299,plain,
% 1.27/1.36 (~P1(a5,a3,a2)),
% 1.27/1.36 inference(scs_inference,[],[37,57,135,80,67])).
% 1.27/1.36 cnf(302,plain,
% 1.27/1.36 (P2(x3021,x3022,x3021,x3022)),
% 1.27/1.36 inference(rename_variables,[],[41])).
% 1.27/1.36 cnf(305,plain,
% 1.27/1.36 (P2(x3051,f6(x3052,x3051,x3053,x3054),x3053,x3054)),
% 1.27/1.36 inference(rename_variables,[],[48])).
% 1.27/1.36 cnf(306,plain,
% 1.27/1.36 (P2(x3061,x3062,x3061,x3062)),
% 1.27/1.36 inference(rename_variables,[],[41])).
% 1.27/1.36 cnf(307,plain,
% 1.27/1.36 (P1(x3071,x3072,f6(x3071,x3072,x3073,x3074))),
% 1.27/1.36 inference(rename_variables,[],[46])).
% 1.27/1.36 cnf(310,plain,
% 1.27/1.36 (P2(x3101,x3102,x3101,x3102)),
% 1.27/1.36 inference(rename_variables,[],[41])).
% 1.27/1.36 cnf(311,plain,
% 1.27/1.36 (P2(x3111,x3112,x3111,f6(f6(x3112,x3111,x3112,x3111),x3111,f6(x3112,x3111,x3112,x3111),x3111))),
% 1.27/1.36 inference(rename_variables,[],[53])).
% 1.27/1.36 cnf(312,plain,
% 1.27/1.36 (P1(x3121,x3122,x3122)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(320,plain,
% 1.27/1.36 (P2(x3201,f6(x3202,x3201,x3203,x3204),x3203,x3204)),
% 1.27/1.36 inference(rename_variables,[],[48])).
% 1.27/1.36 cnf(321,plain,
% 1.27/1.36 (P1(x3211,x3212,x3212)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(322,plain,
% 1.27/1.36 (P2(x3221,x3222,x3221,x3222)),
% 1.27/1.36 inference(rename_variables,[],[41])).
% 1.27/1.36 cnf(325,plain,
% 1.27/1.36 (~E(a2,f6(a5,a1,x3251,x3252))),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,53,311,37,57,38,312,39,48,305,46,36,135,117,139,80,67,107,99,114,97,68,113,82])).
% 1.27/1.36 cnf(327,plain,
% 1.27/1.36 (E(f6(x3271,f6(x3272,x3271,x3273,x3273),x3271,f6(x3272,x3271,x3273,x3273)),f6(x3272,x3271,x3273,x3273))),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,116,53,311,37,57,38,312,39,48,305,46,36,135,117,139,80,67,107,99,114,97,68,113,82,76])).
% 1.27/1.36 cnf(339,plain,
% 1.27/1.36 (P1(a2,a3,f6(a5,a3,x3391,x3392))),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,116,53,311,37,57,38,312,39,48,305,46,307,36,135,117,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71])).
% 1.27/1.36 cnf(340,plain,
% 1.27/1.36 (P1(x3401,x3402,f6(x3401,x3402,x3403,x3404))),
% 1.27/1.36 inference(rename_variables,[],[46])).
% 1.27/1.36 cnf(343,plain,
% 1.27/1.36 (P1(a3,a2,a5)),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,116,53,311,37,56,57,38,312,39,48,305,46,307,36,135,117,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71,2,65])).
% 1.27/1.36 cnf(349,plain,
% 1.27/1.36 (P1(x3491,x3492,x3492)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(359,plain,
% 1.27/1.36 (~P2(a11,a9,x3591,x3591)),
% 1.27/1.36 inference(rename_variables,[],[117])).
% 1.27/1.36 cnf(361,plain,
% 1.27/1.36 (~P2(a11,a9,x3611,x3611)),
% 1.27/1.36 inference(rename_variables,[],[117])).
% 1.27/1.36 cnf(363,plain,
% 1.27/1.36 (E(f6(f6(x3631,x3632,x3631,x3632),x3632,f6(x3631,x3632,x3631,x3632),x3632),x3631)),
% 1.27/1.36 inference(rename_variables,[],[51])).
% 1.27/1.36 cnf(364,plain,
% 1.27/1.36 (~P1(a5,f6(f6(a1,x3641,a1,x3641),x3641,f6(a1,x3641,a1,x3641),x3641),a2)),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,116,53,311,51,363,37,56,57,38,312,321,39,48,305,46,307,36,282,250,135,117,359,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71,2,65,64,93,89,88,85,35,34,31,30])).
% 1.27/1.36 cnf(365,plain,
% 1.27/1.36 (E(f6(f6(x3651,x3652,x3651,x3652),x3652,f6(x3651,x3652,x3651,x3652),x3652),x3651)),
% 1.27/1.36 inference(rename_variables,[],[51])).
% 1.27/1.36 cnf(368,plain,
% 1.27/1.36 (P1(a2,f10(x3681,a3,a3,a2,a5),x3681)),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,116,53,311,51,363,37,56,57,38,312,321,349,39,48,305,46,307,36,282,250,135,117,359,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71,2,65,64,93,89,88,85,35,34,31,30,109,108])).
% 1.27/1.36 cnf(369,plain,
% 1.27/1.36 (P1(x3691,x3692,x3692)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(372,plain,
% 1.27/1.36 (P2(x3721,x3722,x3721,x3722)),
% 1.27/1.36 inference(rename_variables,[],[41])).
% 1.27/1.36 cnf(374,plain,
% 1.27/1.36 (~P2(a11,f6(a12,a11,a9,a11),a11,a11)),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,322,116,53,311,51,363,37,56,57,38,312,321,349,369,39,48,305,46,307,340,63,36,282,250,135,117,359,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71,2,65,64,93,89,88,85,35,34,31,30,109,108,106,84])).
% 1.27/1.36 cnf(376,plain,
% 1.27/1.36 (P1(x3761,x3762,x3762)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(379,plain,
% 1.27/1.36 (~P2(f6(f6(a11,x3791,a11,x3791),x3791,f6(a11,x3791,a11,x3791),x3791),a9,x3792,x3792)),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,322,116,53,311,51,363,365,37,56,57,38,312,321,349,369,39,48,305,46,307,340,63,36,282,250,135,117,359,361,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71,2,65,64,93,89,88,85,35,34,31,30,109,108,106,84,32])).
% 1.27/1.36 cnf(380,plain,
% 1.27/1.36 (E(f6(f6(x3801,x3802,x3801,x3802),x3802,f6(x3801,x3802,x3801,x3802),x3802),x3801)),
% 1.27/1.36 inference(rename_variables,[],[51])).
% 1.27/1.36 cnf(382,plain,
% 1.27/1.36 (E(f6(f6(x3821,x3822,x3821,x3822),x3822,f6(x3821,x3822,x3821,x3822),x3822),x3821)),
% 1.27/1.36 inference(rename_variables,[],[51])).
% 1.27/1.36 cnf(383,plain,
% 1.27/1.36 (~P2(x3831,f6(x3832,x3831,a11,a9),x3833,x3833)),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,322,116,53,311,51,363,365,380,37,56,57,38,312,321,349,369,39,48,305,320,46,307,340,63,36,282,250,135,117,359,361,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71,2,65,64,93,89,88,85,35,34,31,30,109,108,106,84,32,29,96])).
% 1.27/1.36 cnf(387,plain,
% 1.27/1.36 (E(f6(f6(x3871,x3872,x3871,x3872),x3872,f6(x3871,x3872,x3871,x3872),x3872),x3871)),
% 1.27/1.36 inference(rename_variables,[],[51])).
% 1.27/1.36 cnf(397,plain,
% 1.27/1.36 (~P2(a11,f6(f6(a9,x3971,a9,x3971),x3971,f6(a9,x3971,a9,x3971),x3971),x3972,x3972)),
% 1.27/1.36 inference(scs_inference,[],[62,41,302,306,310,322,372,116,53,311,51,363,365,380,382,387,37,56,57,38,312,321,349,369,376,39,48,305,320,46,307,340,63,36,282,250,129,131,135,117,359,361,137,139,80,67,107,99,114,97,68,113,82,76,110,112,87,86,90,71,2,65,64,93,89,88,85,35,34,31,30,109,108,106,84,32,29,96,66,100,3,33])).
% 1.27/1.36 cnf(435,plain,
% 1.27/1.36 (P1(x4351,x4351,x4352)),
% 1.27/1.36 inference(rename_variables,[],[39])).
% 1.27/1.36 cnf(438,plain,
% 1.27/1.36 (P2(x4381,x4382,x4381,x4382)),
% 1.27/1.36 inference(rename_variables,[],[41])).
% 1.27/1.36 cnf(439,plain,
% 1.27/1.36 (P1(x4391,x4392,x4392)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(440,plain,
% 1.27/1.36 (P2(x4401,x4402,x4401,f6(f6(x4402,x4401,x4402,x4401),x4401,f6(x4402,x4401,x4402,x4401),x4401))),
% 1.27/1.36 inference(rename_variables,[],[53])).
% 1.27/1.36 cnf(443,plain,
% 1.27/1.36 (P1(x4431,x4432,x4432)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(447,plain,
% 1.27/1.36 (P1(x4471,x4472,x4472)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(450,plain,
% 1.27/1.36 (P1(x4501,x4502,x4502)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(453,plain,
% 1.27/1.36 (P1(x4531,x4532,x4532)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(457,plain,
% 1.27/1.36 (P1(x4571,f4(x4571,x4571,x4571,f6(x4571,x4571,a9,a11),f6(x4571,x4571,a9,a11),f6(x4572,x4571,a9,a11)),f6(x4572,x4571,a9,a11))),
% 1.27/1.36 inference(scs_inference,[],[36,58,41,438,50,53,57,38,439,443,447,450,453,39,46,256,229,215,67,114,72,68,110,112,76,113])).
% 1.27/1.36 cnf(458,plain,
% 1.27/1.36 (P1(x4581,x4582,f6(x4581,x4582,x4583,x4584))),
% 1.27/1.36 inference(rename_variables,[],[46])).
% 1.27/1.36 cnf(459,plain,
% 1.27/1.36 (P2(x4591,x4592,x4591,x4592)),
% 1.27/1.36 inference(rename_variables,[],[41])).
% 1.27/1.36 cnf(460,plain,
% 1.27/1.36 (P1(x4601,x4602,x4602)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(461,plain,
% 1.27/1.36 (P2(x4611,f6(x4612,x4611,a9,a11),x4613,f6(x4614,x4613,a9,a11))),
% 1.27/1.36 inference(rename_variables,[],[50])).
% 1.27/1.36 cnf(463,plain,
% 1.27/1.36 (P2(x4631,x4632,x4632,f6(f6(x4631,x4632,x4631,x4632),x4632,f6(x4631,x4632,x4631,x4632),x4632))),
% 1.27/1.36 inference(scs_inference,[],[36,58,41,438,50,53,440,57,38,439,443,447,450,453,39,46,256,229,215,67,114,72,68,110,112,76,113,90])).
% 1.27/1.36 cnf(467,plain,
% 1.27/1.36 (~P2(a3,a2,x4671,x4671)),
% 1.27/1.36 inference(scs_inference,[],[36,58,41,438,50,461,53,440,57,38,439,443,447,450,453,39,46,256,229,215,67,114,72,68,110,112,76,113,90,87,80])).
% 1.27/1.36 cnf(470,plain,
% 1.27/1.36 (P1(x4701,x4702,x4702)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(472,plain,
% 1.27/1.36 (~P1(a11,a9,a12)),
% 1.27/1.36 inference(scs_inference,[],[36,60,58,41,438,50,461,53,440,57,38,439,443,447,450,453,460,39,46,256,229,215,67,114,72,68,110,112,76,113,90,87,80,111,65])).
% 1.27/1.36 cnf(474,plain,
% 1.27/1.36 (~P1(a3,a2,a3)),
% 1.27/1.36 inference(scs_inference,[],[36,60,58,41,438,50,461,53,440,57,38,439,443,447,450,453,460,39,46,256,229,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64])).
% 1.27/1.36 cnf(476,plain,
% 1.27/1.36 (P2(f6(x4761,x4762,a9,a11),f6(f6(x4761,x4762,a9,a11),x4762,f6(x4763,x4764,a9,a11),f6(x4763,x4764,a9,a11)),x4764,f6(x4763,x4764,a9,a11))),
% 1.27/1.36 inference(scs_inference,[],[36,60,58,41,438,50,461,53,440,57,38,439,443,447,450,453,460,470,39,48,46,458,256,229,149,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99])).
% 1.27/1.36 cnf(478,plain,
% 1.27/1.36 (P1(x4781,x4782,x4782)),
% 1.27/1.36 inference(rename_variables,[],[38])).
% 1.27/1.36 cnf(479,plain,
% 1.27/1.36 (P1(x4791,x4792,f6(x4791,x4792,x4793,x4794))),
% 1.27/1.36 inference(rename_variables,[],[46])).
% 1.27/1.36 cnf(480,plain,
% 1.27/1.36 (P2(x4801,f6(x4802,x4801,x4803,x4804),x4803,x4804)),
% 1.27/1.36 inference(rename_variables,[],[48])).
% 1.27/1.36 cnf(488,plain,
% 1.27/1.36 (P1(x4881,x4882,f6(x4882,f6(x4881,x4882,x4883,x4883),x4882,f6(x4881,x4882,x4883,x4883)))),
% 1.27/1.36 inference(scs_inference,[],[36,60,58,41,438,50,461,53,440,57,38,439,443,447,450,453,460,470,39,48,46,458,256,327,229,149,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82])).
% 1.27/1.36 cnf(491,plain,
% 1.27/1.36 (P1(x4911,x4912,f6(x4911,x4912,x4913,x4914))),
% 1.27/1.36 inference(rename_variables,[],[46])).
% 1.27/1.36 cnf(496,plain,
% 1.27/1.36 (P2(x4961,x4962,x4963,f6(x4964,x4963,x4962,x4961))),
% 1.27/1.37 inference(rename_variables,[],[184])).
% 1.27/1.37 cnf(498,plain,
% 1.27/1.37 (P1(x4981,f6(f6(x4982,x4983,x4982,x4983),x4983,f6(x4982,x4983,x4982,x4983),x4983),x4982)),
% 1.27/1.37 inference(scs_inference,[],[36,60,58,41,438,50,461,53,440,51,57,38,439,443,447,450,453,460,470,478,39,48,46,458,479,256,327,229,184,149,325,364,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82,71,93,31])).
% 1.27/1.37 cnf(499,plain,
% 1.27/1.37 (P1(x4991,x4992,x4992)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(500,plain,
% 1.27/1.37 (P1(x5001,x5002,f6(f6(x5002,x5003,x5002,x5003),x5003,f6(x5002,x5003,x5002,x5003),x5003))),
% 1.27/1.37 inference(scs_inference,[],[36,60,58,41,438,50,461,53,440,51,57,38,439,443,447,450,453,460,470,478,499,39,48,46,458,479,256,327,229,184,149,325,364,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82,71,93,31,30])).
% 1.27/1.37 cnf(501,plain,
% 1.27/1.37 (P1(x5011,x5012,x5012)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(503,plain,
% 1.27/1.37 (P2(x5031,x5032,f6(f6(x5031,x5033,x5031,x5033),x5033,f6(x5031,x5033,x5031,x5033),x5033),x5032)),
% 1.27/1.37 inference(scs_inference,[],[36,60,58,41,438,459,50,461,53,440,51,57,38,439,443,447,450,453,460,470,478,499,39,48,46,458,479,256,327,229,184,149,325,364,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82,71,93,31,30,2,32])).
% 1.27/1.37 cnf(504,plain,
% 1.27/1.37 (P2(x5041,x5042,x5041,x5042)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(509,plain,
% 1.27/1.37 (~P2(x5091,x5091,x5092,f6(x5093,x5092,a11,a9))),
% 1.27/1.37 inference(scs_inference,[],[36,60,58,41,438,459,504,50,461,53,440,51,57,38,439,443,447,450,453,460,470,478,499,39,48,46,458,479,116,256,327,229,184,383,149,325,364,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82,71,93,31,30,2,32,29,88,96])).
% 1.27/1.37 cnf(511,plain,
% 1.27/1.37 (P2(x5111,x5112,x5111,x5112)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(514,plain,
% 1.27/1.37 (P2(x5141,x5142,x5141,x5142)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(516,plain,
% 1.27/1.37 (P2(x5161,x5162,x5161,x5162)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(518,plain,
% 1.27/1.37 (P2(x5181,x5182,x5181,x5182)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(523,plain,
% 1.27/1.37 (E(a1,f6(a5,a1,x5231,x5232))+~P1(a1,f6(a5,a1,x5231,x5232),a2)),
% 1.27/1.37 inference(scs_inference,[],[36,60,58,41,438,459,504,511,514,516,50,461,53,440,51,57,38,439,443,447,450,453,460,470,478,499,39,48,46,458,479,491,43,116,256,327,229,184,383,149,325,364,221,215,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82,71,93,31,30,2,32,29,88,96,35,34,33,3,227,74])).
% 1.27/1.37 cnf(528,plain,
% 1.27/1.37 (~P2(a2,a3,a2,a2)),
% 1.27/1.37 inference(scs_inference,[],[36,60,58,41,438,459,504,511,514,516,50,461,53,440,51,57,38,439,443,447,450,453,460,470,478,499,501,39,48,46,458,479,491,43,116,256,327,229,184,383,149,325,364,221,215,137,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82,71,93,31,30,2,32,29,88,96,35,34,33,3,227,74,91,84])).
% 1.27/1.37 cnf(529,plain,
% 1.27/1.37 (P1(x5291,x5292,x5292)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(539,plain,
% 1.27/1.37 (P1(x5391,x5392,x5392)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(545,plain,
% 1.27/1.37 (P2(x5451,x5452,x5451,x5452)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(550,plain,
% 1.27/1.37 (~P2(a1,a3,a1,a2)),
% 1.27/1.37 inference(scs_inference,[],[36,60,58,59,41,438,459,504,511,514,516,518,545,50,461,53,440,51,57,38,439,443,447,450,453,460,470,478,499,501,529,539,39,435,48,480,46,458,479,491,43,63,116,256,327,229,184,496,383,149,325,364,221,299,215,137,67,114,72,68,110,112,76,113,90,87,80,111,65,64,99,89,86,85,82,71,93,31,30,2,32,29,88,96,35,34,33,3,227,74,91,84,75,94,115,101,103,275,98])).
% 1.27/1.37 cnf(559,plain,
% 1.27/1.37 (~P2(a11,f6(a12,a11,a9,a11),x5591,x5591)),
% 1.27/1.37 inference(scs_inference,[],[42,55,374,95,97])).
% 1.27/1.37 cnf(560,plain,
% 1.27/1.37 (P2(x5601,x5601,x5602,x5602)),
% 1.27/1.37 inference(rename_variables,[],[42])).
% 1.27/1.37 cnf(566,plain,
% 1.27/1.37 (~P2(a11,a9,x5661,x5661)),
% 1.27/1.37 inference(rename_variables,[],[117])).
% 1.27/1.37 cnf(567,plain,
% 1.27/1.37 (P2(x5671,x5671,x5672,x5672)),
% 1.27/1.37 inference(rename_variables,[],[42])).
% 1.27/1.37 cnf(568,plain,
% 1.27/1.37 (P2(x5681,x5682,x5681,x5682)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(570,plain,
% 1.27/1.37 (P2(a1,a2,a1,f4(a1,a1,a1,a2,a3,a3))),
% 1.27/1.37 inference(scs_inference,[],[36,42,560,567,41,568,55,39,117,500,474,374,137,95,97,74,104,114])).
% 1.27/1.37 cnf(571,plain,
% 1.27/1.37 (P2(x5711,x5711,x5712,x5712)),
% 1.27/1.37 inference(rename_variables,[],[42])).
% 1.27/1.37 cnf(572,plain,
% 1.27/1.37 (P2(x5721,x5722,x5721,x5722)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(573,plain,
% 1.27/1.37 (P1(x5731,x5731,x5732)),
% 1.27/1.37 inference(rename_variables,[],[39])).
% 1.27/1.37 cnf(575,plain,
% 1.27/1.37 (~P2(x5751,f6(x5752,x5751,a9,a11),x5753,f6(x5753,f6(x5754,x5753,a9,a11),a11,a9))),
% 1.27/1.37 inference(scs_inference,[],[36,42,560,567,41,568,50,55,38,39,46,117,500,474,509,374,137,95,97,74,104,114,98])).
% 1.27/1.37 cnf(576,plain,
% 1.27/1.37 (P2(x5761,f6(x5762,x5761,a9,a11),x5763,f6(x5764,x5763,a9,a11))),
% 1.27/1.37 inference(rename_variables,[],[50])).
% 1.27/1.37 cnf(577,plain,
% 1.27/1.37 (P1(x5771,x5772,x5772)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(578,plain,
% 1.27/1.37 (~P2(x5781,x5781,x5782,f6(x5783,x5782,a11,a9))),
% 1.27/1.37 inference(rename_variables,[],[509])).
% 1.27/1.37 cnf(579,plain,
% 1.27/1.37 (P1(x5791,x5792,f6(x5791,x5792,x5793,x5794))),
% 1.27/1.37 inference(rename_variables,[],[46])).
% 1.27/1.37 cnf(581,plain,
% 1.27/1.37 (~P1(a1,a3,a2)),
% 1.27/1.37 inference(scs_inference,[],[36,42,560,567,41,568,50,55,38,39,46,117,57,500,474,509,374,137,95,97,74,104,114,98,67])).
% 1.27/1.37 cnf(584,plain,
% 1.27/1.37 (P2(x5841,x5841,x5842,x5842)),
% 1.27/1.37 inference(rename_variables,[],[42])).
% 1.27/1.37 cnf(586,plain,
% 1.27/1.37 (P1(x5861,x5861,x5862)),
% 1.27/1.37 inference(rename_variables,[],[39])).
% 1.27/1.37 cnf(588,plain,
% 1.27/1.37 (~P2(f6(x5881,x5882,a11,a9),x5882,x5883,x5883)),
% 1.27/1.37 inference(scs_inference,[],[36,42,560,567,571,41,568,572,50,55,38,39,573,46,117,57,500,474,509,578,374,137,95,97,74,104,114,98,67,113,87])).
% 1.27/1.37 cnf(590,plain,
% 1.27/1.37 (E(f6(f6(x5901,x5902,x5903,x5903),x5902,f6(x5901,x5902,x5903,x5903),x5902),x5902)),
% 1.27/1.37 inference(scs_inference,[],[36,42,560,567,571,41,568,572,50,55,38,39,573,46,43,117,57,500,474,509,578,374,137,95,97,74,104,114,98,67,113,87,76])).
% 1.27/1.37 cnf(593,plain,
% 1.27/1.37 (P1(x5931,x5932,x5932)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(594,plain,
% 1.27/1.37 (~E(f6(x5941,x5942,a9,a11),x5942)),
% 1.27/1.37 inference(rename_variables,[],[63])).
% 1.27/1.37 cnf(596,plain,
% 1.27/1.37 (P2(x5961,x5962,x5962,f6(f6(x5961,x5963,x5961,x5963),x5963,f6(x5961,x5963,x5961,x5963),x5963))),
% 1.27/1.37 inference(scs_inference,[],[36,42,560,567,571,41,568,572,50,55,38,577,39,573,46,43,63,117,57,503,500,474,509,578,374,137,95,97,74,104,114,98,67,113,87,76,111,91])).
% 1.27/1.37 cnf(603,plain,
% 1.27/1.37 (P1(x6031,x6032,x6032)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(606,plain,
% 1.27/1.37 (~P1(a12,a9,f6(a9,a12,x6061,x6062))),
% 1.27/1.37 inference(scs_inference,[],[36,42,560,567,571,41,568,572,50,55,38,577,593,39,573,46,579,43,63,117,566,57,503,498,500,474,509,578,374,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68])).
% 1.27/1.37 cnf(607,plain,
% 1.27/1.37 (P1(x6071,x6072,f6(x6071,x6072,x6073,x6074))),
% 1.27/1.37 inference(rename_variables,[],[46])).
% 1.27/1.37 cnf(615,plain,
% 1.27/1.37 (~E(a2,f6(a1,a5,x6151,x6152))),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,41,568,572,50,55,38,577,593,39,573,46,579,43,63,117,566,57,503,498,500,474,509,578,379,397,374,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82])).
% 1.27/1.37 cnf(617,plain,
% 1.27/1.37 (~P1(x6171,f6(x6172,x6171,a3,a2),x6171)),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,584,41,568,572,50,55,38,577,593,39,573,48,46,579,43,63,117,566,57,503,498,500,474,509,578,379,397,374,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100])).
% 1.27/1.37 cnf(618,plain,
% 1.27/1.37 (P2(x6181,f6(x6182,x6181,x6183,x6184),x6183,x6184)),
% 1.27/1.37 inference(rename_variables,[],[48])).
% 1.27/1.37 cnf(619,plain,
% 1.27/1.37 (P2(x6191,x6191,x6192,x6192)),
% 1.27/1.37 inference(rename_variables,[],[42])).
% 1.27/1.37 cnf(622,plain,
% 1.27/1.37 (E(x6221,f10(x6221,x6222,x6222,x6221,x6221))),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,584,41,568,572,50,55,38,577,593,39,573,48,46,579,43,63,117,566,57,503,498,500,231,474,509,578,379,397,374,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100,64])).
% 1.27/1.37 cnf(623,plain,
% 1.27/1.37 (P1(x6231,f10(x6232,x6233,x6233,x6231,x6231),x6232)),
% 1.27/1.37 inference(rename_variables,[],[231])).
% 1.27/1.37 cnf(632,plain,
% 1.27/1.37 (~E(f6(x6321,x6322,a9,a11),x6322)),
% 1.27/1.37 inference(rename_variables,[],[63])).
% 1.27/1.37 cnf(633,plain,
% 1.27/1.37 (P1(x6331,x6332,x6332)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(640,plain,
% 1.27/1.37 (P1(x6401,x6401,x6402)),
% 1.27/1.37 inference(rename_variables,[],[39])).
% 1.27/1.37 cnf(643,plain,
% 1.27/1.37 (E(x6431,f6(x6432,x6431,x6433,x6433))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(646,plain,
% 1.27/1.37 (P2(x6461,x6461,x6462,f6(f6(x6462,x6462,x6462,x6462),x6462,f6(x6462,x6462,x6462,x6462),x6462))),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,584,619,41,568,572,50,55,38,577,593,603,39,573,586,640,60,48,46,579,607,43,63,594,116,117,566,57,463,503,498,500,231,474,509,578,379,397,374,180,325,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100,64,93,84,89,88,71,30,29,96])).
% 1.27/1.37 cnf(650,plain,
% 1.27/1.37 (~E(x6501,f6(x6502,x6501,a11,a9))),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,584,619,41,568,572,50,55,38,577,593,603,39,573,586,640,60,48,46,579,607,43,63,594,116,117,566,57,463,503,498,500,231,474,509,578,379,397,374,180,325,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100,64,93,84,89,88,71,30,29,96,31,35])).
% 1.27/1.37 cnf(651,plain,
% 1.27/1.37 (P2(x6511,x6511,x6512,x6512)),
% 1.27/1.37 inference(rename_variables,[],[42])).
% 1.27/1.37 cnf(652,plain,
% 1.27/1.37 (~E(f6(x6521,x6522,a11,a9),x6522)),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,584,619,651,41,568,572,50,55,38,577,593,603,39,573,586,640,60,48,46,579,607,43,63,594,116,117,566,57,463,503,498,500,231,474,509,578,379,397,374,180,325,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100,64,93,84,89,88,71,30,29,96,31,35,34])).
% 1.27/1.37 cnf(655,plain,
% 1.27/1.37 (P2(x6551,f6(x6552,x6551,a9,a11),x6553,f6(x6554,x6553,a9,a11))),
% 1.27/1.37 inference(rename_variables,[],[50])).
% 1.27/1.37 cnf(656,plain,
% 1.27/1.37 (~E(x6561,f6(x6562,x6561,a9,a11))),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,584,619,651,41,568,572,50,576,55,38,577,593,603,39,573,586,640,60,48,46,579,607,43,63,594,632,116,117,566,57,463,503,498,500,231,474,509,578,379,397,374,180,325,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100,64,93,84,89,88,71,30,29,96,31,35,34,32,2])).
% 1.27/1.37 cnf(657,plain,
% 1.27/1.37 (P2(x6571,f6(x6572,f6(x6573,x6571,a9,a11),x6574,x6574),x6575,f6(x6576,x6575,a9,a11))),
% 1.27/1.37 inference(scs_inference,[],[36,61,42,560,567,571,584,619,651,41,568,572,50,576,655,55,38,577,593,603,39,573,586,640,60,48,46,579,607,43,63,594,632,116,643,117,566,57,463,503,498,500,231,474,509,578,379,397,374,180,325,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100,64,93,84,89,88,71,30,29,96,31,35,34,32,2,33])).
% 1.27/1.37 cnf(672,plain,
% 1.27/1.37 (P1(a2,a5,a1)),
% 1.27/1.37 inference(scs_inference,[],[36,61,119,42,560,567,571,584,619,651,41,568,572,50,576,655,55,38,577,593,603,633,39,573,586,640,60,48,618,46,579,607,43,63,594,632,116,643,117,566,57,463,503,498,500,231,623,474,509,578,379,397,374,343,180,325,178,137,95,97,74,104,114,98,67,113,87,76,111,91,65,99,68,90,86,85,82,100,64,93,84,89,88,71,30,29,96,31,35,34,32,2,33,3,523,94,72,73,77])).
% 1.27/1.37 cnf(686,plain,
% 1.27/1.37 (P2(x6861,x6862,x6862,x6861)),
% 1.27/1.37 inference(rename_variables,[],[40])).
% 1.27/1.37 cnf(689,plain,
% 1.27/1.37 (~E(f6(x6891,x6892,a9,a11),x6892)),
% 1.27/1.37 inference(rename_variables,[],[63])).
% 1.27/1.37 cnf(690,plain,
% 1.27/1.37 (P1(x6901,x6901,x6902)),
% 1.27/1.37 inference(rename_variables,[],[39])).
% 1.27/1.37 cnf(694,plain,
% 1.27/1.37 (P1(x6941,x6942,x6942)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(698,plain,
% 1.27/1.37 (P2(x6981,x6982,x6982,x6981)),
% 1.27/1.37 inference(rename_variables,[],[40])).
% 1.27/1.37 cnf(699,plain,
% 1.27/1.37 (P1(x6991,x6992,x6992)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(700,plain,
% 1.27/1.37 (P2(x7001,x7001,x7002,x7002)),
% 1.27/1.37 inference(rename_variables,[],[42])).
% 1.27/1.37 cnf(705,plain,
% 1.27/1.37 (~P1(a9,a12,a11)),
% 1.27/1.37 inference(scs_inference,[],[37,59,40,686,42,38,694,39,690,63,528,657,575,182,97,67,98,104,91,65])).
% 1.27/1.37 cnf(708,plain,
% 1.27/1.37 (P1(x7081,f6(f6(x7082,x7081,a9,a11),x7081,x7082,x7081),x7082)),
% 1.27/1.37 inference(rename_variables,[],[237])).
% 1.27/1.37 cnf(712,plain,
% 1.27/1.37 (~P1(x7121,f6(x7122,x7121,a9,a11),x7121)),
% 1.27/1.37 inference(scs_inference,[],[37,59,40,686,42,38,694,699,39,690,63,689,646,528,657,575,237,182,97,67,98,104,91,65,73,87,68])).
% 1.27/1.37 cnf(713,plain,
% 1.27/1.37 (~E(f6(x7131,x7132,a9,a11),x7132)),
% 1.27/1.37 inference(rename_variables,[],[63])).
% 1.27/1.37 cnf(714,plain,
% 1.27/1.37 (P1(x7141,x7142,x7142)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(721,plain,
% 1.27/1.37 (E(f6(f6(x7211,x7212,x7213,x7213),x7212,f6(x7211,x7212,x7213,x7213),x7212),x7212)),
% 1.27/1.37 inference(rename_variables,[],[590])).
% 1.27/1.37 cnf(723,plain,
% 1.27/1.37 (~P2(f6(x7231,x7232,a11,a9),f6(x7232,f6(x7231,x7232,a11,a9),a9,a11),f6(x7231,x7232,a11,a9),f6(x7231,x7232,a11,a9))),
% 1.27/1.37 inference(scs_inference,[],[37,59,40,686,42,38,694,699,714,39,690,46,63,689,713,646,596,590,528,657,650,575,237,182,97,67,98,104,91,65,73,87,68,86,85,82,84])).
% 1.27/1.37 cnf(724,plain,
% 1.27/1.37 (~E(x7241,f6(x7242,x7241,a11,a9))),
% 1.27/1.37 inference(rename_variables,[],[650])).
% 1.27/1.37 cnf(725,plain,
% 1.27/1.37 (~E(f6(x7251,x7252,a9,a11),x7252)),
% 1.27/1.37 inference(rename_variables,[],[63])).
% 1.27/1.37 cnf(726,plain,
% 1.27/1.37 (P1(x7261,x7262,x7262)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(729,plain,
% 1.27/1.37 (~P1(x7291,f6(x7292,x7291,a11,a9),x7291)),
% 1.27/1.37 inference(scs_inference,[],[37,59,40,686,42,38,694,699,714,39,690,46,63,689,713,646,596,590,528,657,650,724,575,237,182,97,67,98,104,91,65,73,87,68,86,85,82,84,64])).
% 1.27/1.37 cnf(731,plain,
% 1.27/1.37 (P2(f6(f6(x7311,x7312,a9,a11),x7312,f6(x7313,x7314,a9,a11),f6(x7313,x7314,a9,a11)),f6(x7311,x7312,a9,a11),x7314,f6(x7313,x7314,a9,a11))),
% 1.27/1.37 inference(scs_inference,[],[37,59,40,686,42,38,694,699,714,39,690,46,63,689,713,646,596,590,528,657,476,650,724,575,237,182,97,67,98,104,91,65,73,87,68,86,85,82,84,64,90])).
% 1.27/1.37 cnf(738,plain,
% 1.27/1.37 (~P1(a12,a9,f6(a9,a12,x7381,x7382))),
% 1.27/1.37 inference(rename_variables,[],[606])).
% 1.27/1.37 cnf(749,plain,
% 1.27/1.37 (~P2(x7491,f6(x7492,f6(f6(x7491,x7493,x7491,x7493),x7493,f6(x7491,x7493,x7491,x7493),x7493),a11,a9),x7494,x7494)),
% 1.27/1.37 inference(scs_inference,[],[37,59,40,686,42,38,694,699,714,39,690,46,63,689,713,646,596,590,528,588,657,476,650,724,575,615,606,457,488,237,182,184,97,67,98,104,91,65,73,87,68,86,85,82,84,64,90,71,72,93,89,88,96])).
% 1.27/1.37 cnf(754,plain,
% 1.27/1.37 (E(f6(x7541,x7542,x7543,x7543),x7542)),
% 1.27/1.37 inference(rename_variables,[],[43])).
% 1.27/1.37 cnf(756,plain,
% 1.27/1.37 (E(f6(x7561,x7562,x7563,x7563),x7562)),
% 1.27/1.37 inference(rename_variables,[],[43])).
% 1.27/1.37 cnf(758,plain,
% 1.27/1.37 (E(f6(x7581,x7582,x7583,x7583),x7582)),
% 1.27/1.37 inference(rename_variables,[],[43])).
% 1.27/1.37 cnf(760,plain,
% 1.27/1.37 (E(f6(x7601,x7602,x7603,x7603),x7602)),
% 1.27/1.37 inference(rename_variables,[],[43])).
% 1.27/1.37 cnf(762,plain,
% 1.27/1.37 (E(f6(x7621,x7622,x7623,x7623),x7622)),
% 1.27/1.37 inference(rename_variables,[],[43])).
% 1.27/1.37 cnf(764,plain,
% 1.27/1.37 (E(f6(x7641,x7642,x7643,x7643),x7642)),
% 1.27/1.37 inference(rename_variables,[],[43])).
% 1.27/1.37 cnf(769,plain,
% 1.27/1.37 (E(x7691,f6(x7692,x7691,x7693,x7693))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(771,plain,
% 1.27/1.37 (P1(x7711,x7712,x7712)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(772,plain,
% 1.27/1.37 (~E(f6(x7721,x7722,a11,a9),x7722)),
% 1.27/1.37 inference(rename_variables,[],[652])).
% 1.27/1.37 cnf(776,plain,
% 1.27/1.37 (P1(x7761,f6(f6(x7762,x7761,a9,a11),x7761,x7762,x7761),x7762)),
% 1.27/1.37 inference(rename_variables,[],[237])).
% 1.27/1.37 cnf(783,plain,
% 1.27/1.37 (P2(x7831,x7832,x7832,x7831)),
% 1.27/1.37 inference(rename_variables,[],[40])).
% 1.27/1.37 cnf(784,plain,
% 1.27/1.37 (P1(x7841,x7842,x7842)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(814,plain,
% 1.27/1.37 (E(f10(x8141,x8142,x8142,x8141,x8141),x8141)),
% 1.27/1.37 inference(scs_inference,[],[37,121,59,40,686,698,783,50,42,700,38,694,699,714,726,771,784,39,690,46,63,689,713,725,56,116,769,117,43,754,756,758,760,762,764,646,596,590,721,622,234,528,588,657,476,650,724,652,772,575,615,606,738,457,488,237,708,776,182,184,145,97,67,98,104,91,65,73,87,68,86,85,82,84,64,90,71,72,93,89,88,96,30,31,34,35,32,33,29,2,3,94,5,75,76,100,28,27,26,25,24,22,19,17,16,14,10,7,102,92,83,105,81])).
% 1.27/1.37 cnf(843,plain,
% 1.27/1.37 (P1(x8431,x8432,x8432)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(851,plain,
% 1.27/1.37 (~E(x8511,f6(x8512,x8511,a9,a11))),
% 1.27/1.37 inference(rename_variables,[],[656])).
% 1.27/1.37 cnf(852,plain,
% 1.27/1.37 (P1(x8521,x8522,f6(x8521,x8522,x8523,x8524))),
% 1.27/1.37 inference(rename_variables,[],[46])).
% 1.27/1.37 cnf(857,plain,
% 1.27/1.37 (P1(x8571,x8572,f6(x8571,x8572,x8573,x8574))),
% 1.27/1.37 inference(rename_variables,[],[46])).
% 1.27/1.37 cnf(862,plain,
% 1.27/1.37 (P1(f6(x8621,x8622,x8623,x8624),x8622,x8621)),
% 1.27/1.37 inference(scs_inference,[],[50,42,38,46,852,857,63,116,731,729,723,467,656,851,570,137,36,23,21,20,18,15,13,12,11,9,8,6,4,105,97,75,81,67,5,91,65])).
% 1.27/1.37 cnf(865,plain,
% 1.27/1.37 (~P2(x8651,f6(x8652,f6(f6(x8651,x8653,x8651,x8653),x8653,f6(x8651,x8653,x8651,x8653),x8653),a11,a9),x8654,x8654)),
% 1.27/1.37 inference(rename_variables,[],[749])).
% 1.27/1.37 cnf(866,plain,
% 1.27/1.37 (P2(x8661,x8662,x8661,x8662)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(897,plain,
% 1.27/1.37 (P2(x8971,x8972,x8971,x8972)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(903,plain,
% 1.27/1.37 (~P2(x9031,x9031,x9032,f6(x9033,f6(f6(x9032,x9034,x9032,x9034),x9034,f6(x9032,x9034,x9032,x9034),x9034),a11,a9))),
% 1.27/1.37 inference(scs_inference,[],[37,119,41,866,50,42,38,843,39,46,852,857,63,116,731,550,749,865,712,729,723,467,368,339,656,851,615,570,180,474,137,36,23,21,20,18,15,13,12,11,9,8,6,4,105,97,75,81,67,5,91,65,98,73,82,87,85,86,68,90,72,64,93,89,96,71,88])).
% 1.27/1.37 cnf(906,plain,
% 1.27/1.37 (E(x9061,f6(x9062,x9061,x9063,x9063))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(908,plain,
% 1.27/1.37 (E(x9081,f6(x9082,x9081,x9083,x9083))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(909,plain,
% 1.27/1.37 (P2(f6(x9091,x9092,x9093,x9093),x9094,x9092,x9094)),
% 1.27/1.37 inference(scs_inference,[],[37,119,41,866,897,50,42,38,843,39,46,852,857,63,116,906,908,731,550,749,865,712,729,723,467,368,339,656,851,615,570,180,474,137,36,23,21,20,18,15,13,12,11,9,8,6,4,105,97,75,81,67,5,91,65,98,73,82,87,85,86,68,90,72,64,93,89,96,71,88,31,30,32])).
% 1.27/1.37 cnf(910,plain,
% 1.27/1.37 (E(x9101,f6(x9102,x9101,x9103,x9103))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(911,plain,
% 1.27/1.37 (P2(x9111,f6(x9112,x9113,x9114,x9114),x9111,x9113)),
% 1.27/1.37 inference(scs_inference,[],[37,119,41,866,897,50,42,38,843,39,46,852,857,63,116,906,908,910,731,550,749,865,712,729,723,467,368,339,656,851,615,570,180,474,137,36,23,21,20,18,15,13,12,11,9,8,6,4,105,97,75,81,67,5,91,65,98,73,82,87,85,86,68,90,72,64,93,89,96,71,88,31,30,32,33])).
% 1.27/1.37 cnf(912,plain,
% 1.27/1.37 (E(x9121,f6(x9122,x9121,x9123,x9123))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(914,plain,
% 1.27/1.37 (E(x9141,f6(x9142,x9141,x9143,x9143))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(916,plain,
% 1.27/1.37 (E(x9161,f6(x9162,x9161,x9163,x9163))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(918,plain,
% 1.27/1.37 (E(x9181,f6(x9182,x9181,x9183,x9183))),
% 1.27/1.37 inference(rename_variables,[],[116])).
% 1.27/1.37 cnf(919,plain,
% 1.27/1.37 (~E(a2,a3)),
% 1.27/1.37 inference(scs_inference,[],[37,119,41,866,897,50,42,38,843,39,46,852,857,63,116,906,908,910,912,914,916,57,731,550,749,865,712,729,723,467,368,339,656,851,615,570,180,474,137,36,23,21,20,18,15,13,12,11,9,8,6,4,105,97,75,81,67,5,91,65,98,73,82,87,85,86,68,90,72,64,93,89,96,71,88,31,30,32,33,35,34,29,2])).
% 1.27/1.37 cnf(922,plain,
% 1.27/1.37 (~P1(f6(x9221,a9,a9,a11),a9,a11)+~P1(f6(x9221,a9,a9,a11),a9,a12)),
% 1.27/1.37 inference(scs_inference,[],[37,119,58,41,866,897,50,42,38,843,39,46,852,857,63,116,906,908,910,912,914,916,918,43,57,731,550,749,865,712,729,723,467,705,368,339,656,851,615,570,180,474,137,36,23,21,20,18,15,13,12,11,9,8,6,4,105,97,75,81,67,5,91,65,98,73,82,87,85,86,68,90,72,64,93,89,96,71,88,31,30,32,33,35,34,29,2,3,77])).
% 1.27/1.37 cnf(973,plain,
% 1.27/1.37 (P1(f6(x9731,x9732,x9733,x9734),x9732,x9731)),
% 1.27/1.37 inference(rename_variables,[],[862])).
% 1.27/1.37 cnf(976,plain,
% 1.27/1.37 (P1(x9761,x9761,x9762)),
% 1.27/1.37 inference(rename_variables,[],[39])).
% 1.27/1.37 cnf(979,plain,
% 1.27/1.37 (P2(x9791,f6(x9792,x9791,a9,a11),x9793,f6(x9794,x9793,a9,a11))),
% 1.27/1.37 inference(rename_variables,[],[50])).
% 1.27/1.37 cnf(980,plain,
% 1.27/1.37 (P1(x9801,x9802,x9802)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(990,plain,
% 1.27/1.37 (P1(x9901,x9901,x9902)),
% 1.27/1.37 inference(rename_variables,[],[39])).
% 1.27/1.37 cnf(994,plain,
% 1.27/1.37 (~E(f6(x9941,x9942,a9,a11),x9942)),
% 1.27/1.37 inference(rename_variables,[],[63])).
% 1.27/1.37 cnf(996,plain,
% 1.27/1.37 (P1(x9961,x9962,x9962)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(997,plain,
% 1.27/1.37 (P1(f6(x9971,x9972,x9973,x9974),x9972,x9971)),
% 1.27/1.37 inference(rename_variables,[],[862])).
% 1.27/1.37 cnf(998,plain,
% 1.27/1.37 (P2(f6(x9981,x9982,x9983,x9983),x9984,x9982,x9984)),
% 1.27/1.37 inference(rename_variables,[],[909])).
% 1.27/1.37 cnf(999,plain,
% 1.27/1.37 (P2(x9991,x9992,x9991,x9992)),
% 1.27/1.37 inference(rename_variables,[],[41])).
% 1.27/1.37 cnf(1002,plain,
% 1.27/1.37 (P1(x10021,x10021,x10022)),
% 1.27/1.37 inference(rename_variables,[],[39])).
% 1.27/1.37 cnf(1006,plain,
% 1.27/1.37 (P1(x10061,x10062,x10062)),
% 1.27/1.37 inference(rename_variables,[],[38])).
% 1.27/1.37 cnf(1007,plain,
% 1.27/1.37 (P2(x10071,x10072,x10072,x10071)),
% 1.27/1.37 inference(rename_variables,[],[40])).
% 1.27/1.37 cnf(1034,plain,
% 1.27/1.37 ($false),
% 1.27/1.37 inference(scs_inference,[],[38,980,996,1006,123,59,61,41,999,40,1007,50,979,39,976,990,1002,56,117,43,63,994,814,909,998,911,862,973,997,672,903,559,472,919,617,581,287,256,656,237,36,922,108,107,106,66,109,105,67,98,82,74,86,77,91,104,78,65]),
% 1.27/1.37 ['proof']).
% 1.27/1.37 % SZS output end Proof
% 1.27/1.37 % Total time :0.710000s
%------------------------------------------------------------------------------