TSTP Solution File: GEO064-3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GEO064-3 : 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 : n005.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 22:42:44 EDT 2023

% Result   : Unsatisfiable 1.41s 1.48s
% Output   : CNFRefutation 1.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO064-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n005.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   : Tue Aug 29 21:07:53 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.60  start to proof:theBenchmark
% 1.41/1.46  %-------------------------------------------
% 1.41/1.46  % File        :CSE---1.6
% 1.41/1.46  % Problem     :theBenchmark
% 1.41/1.46  % Transform   :cnf
% 1.41/1.46  % Format      :tptp:raw
% 1.41/1.46  % Command     :java -jar mcs_scs.jar %d %s
% 1.41/1.46  
% 1.41/1.46  % Result      :Theorem 0.770000s
% 1.41/1.46  % Output      :CNFRefutation 0.770000s
% 1.41/1.46  %-------------------------------------------
% 1.41/1.46  %--------------------------------------------------------------------------
% 1.41/1.46  % File     : GEO064-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 1.41/1.46  % Domain   : Geometry
% 1.41/1.46  % Problem  : Corollary 1 to collinearity
% 1.41/1.46  % Version  : [Qua89] axioms : Augmented.
% 1.41/1.46  % English  :
% 1.41/1.46  
% 1.41/1.46  % Refs     : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 1.41/1.46  %          : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 1.41/1.46  % Source   : [Qua89]
% 1.41/1.46  % Names    : C2.1 [Qua89]
% 1.41/1.46  
% 1.41/1.46  % Status   : Unsatisfiable
% 1.41/1.46  % Rating   : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.09 v2.4.0, 0.12 v2.2.1, 0.00 v2.0.0
% 1.41/1.46  % Syntax   : Number of clauses     :   89 (  27 unt;  21 nHn;  67 RR)
% 1.41/1.46  %            Number of literals    :  245 (  47 equ; 137 neg)
% 1.41/1.46  %            Maximal clause size   :    8 (   2 avg)
% 1.41/1.47  %            Maximal term depth    :    3 (   1 avg)
% 1.41/1.47  %            Number of predicates  :    4 (   3 usr;   0 prp; 2-4 aty)
% 1.41/1.47  %            Number of functors    :   13 (  13 usr;   6 con; 0-6 aty)
% 1.41/1.47  %            Number of variables   :  317 (  14 sgn)
% 1.41/1.47  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 1.41/1.47  
% 1.41/1.47  % Comments :
% 1.41/1.47  % Bugfixes : v1.2.1 - Clause d12 fixed.
% 1.41/1.47  %--------------------------------------------------------------------------
% 1.41/1.47  %----Include Tarski geometry axioms
% 1.41/1.47  include('Axioms/GEO002-0.ax').
% 1.41/1.47  %----Include definition of colinearity
% 1.41/1.47  include('Axioms/GEO002-1.ax').
% 1.41/1.47  %----Include definition of reflection
% 1.41/1.47  include('Axioms/GEO002-2.ax').
% 1.41/1.47  %----Include definition of insertion
% 1.41/1.47  include('Axioms/GEO002-3.ax').
% 1.41/1.47  %--------------------------------------------------------------------------
% 1.41/1.47  cnf(d1,axiom,
% 1.41/1.47      equidistant(U,V,U,V) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d2,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | equidistant(W,X,U,V) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d3,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | equidistant(V,U,W,X) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d4_1,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | equidistant(U,V,X,W) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d4_2,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | equidistant(V,U,X,W) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d4_3,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | equidistant(W,X,V,U) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d4_4,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | equidistant(X,W,U,V) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d4_5,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | equidistant(X,W,V,U) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d5,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,W,X)
% 1.41/1.47      | ~ equidistant(W,X,Y,Z)
% 1.41/1.47      | equidistant(U,V,Y,Z) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(e1,axiom,
% 1.41/1.47      V = extension(U,V,W,W) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b0,axiom,
% 1.41/1.47      ( Y != extension(U,V,W,X)
% 1.41/1.47      | between(U,V,Y) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(r2_1,axiom,
% 1.41/1.47      between(U,V,reflection(U,V)) ).
% 1.41/1.47  
% 1.41/1.47  cnf(r2_2,axiom,
% 1.41/1.47      equidistant(V,reflection(U,V),U,V) ).
% 1.41/1.47  
% 1.41/1.47  cnf(r3_1,axiom,
% 1.41/1.47      ( U != V
% 1.41/1.47      | V = reflection(U,V) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(r3_2,axiom,
% 1.41/1.47      U = reflection(U,U) ).
% 1.41/1.47  
% 1.41/1.47  cnf(r4,axiom,
% 1.41/1.47      ( V != reflection(U,V)
% 1.41/1.47      | U = V ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d7,axiom,
% 1.41/1.47      equidistant(U,U,V,V) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d8,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,U1,V1)
% 1.41/1.47      | ~ equidistant(V,W,V1,W1)
% 1.41/1.47      | ~ between(U,V,W)
% 1.41/1.47      | ~ between(U1,V1,W1)
% 1.41/1.47      | equidistant(U,W,U1,W1) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d9,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(U,V,X)
% 1.41/1.47      | ~ equidistant(V,W,V,X)
% 1.41/1.47      | U = V
% 1.41/1.47      | W = X ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d10_1,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | U = V
% 1.41/1.47      | W = extension(U,V,V,W) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d10_2,axiom,
% 1.41/1.47      ( ~ equidistant(W,X,Y,Z)
% 1.41/1.47      | extension(U,V,W,X) = extension(U,V,Y,Z)
% 1.41/1.47      | U = V ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d10_3,axiom,
% 1.41/1.47      ( extension(U,V,U,V) = extension(U,V,V,U)
% 1.41/1.47      | U = V ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(r5,axiom,
% 1.41/1.47      equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 1.41/1.47  
% 1.41/1.47  cnf(r6,axiom,
% 1.41/1.47      U = reflection(reflection(U,V),V) ).
% 1.41/1.47  
% 1.41/1.47  cnf(t3,axiom,
% 1.41/1.47      between(U,V,V) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b1,axiom,
% 1.41/1.47      ( ~ between(U,W,X)
% 1.41/1.47      | U != X
% 1.41/1.47      | between(V,W,X) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(t1,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | between(W,V,U) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(t2,axiom,
% 1.41/1.47      between(U,U,V) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b2,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(V,U,W)
% 1.41/1.47      | U = V ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b3,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(U,W,V)
% 1.41/1.47      | V = W ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(t6_1,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(V,U,W)
% 1.41/1.47      | U = V
% 1.41/1.47      | V = W ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(t6_2,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(U,W,V)
% 1.41/1.47      | U = V
% 1.41/1.47      | V = W ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b4,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(V,W,X)
% 1.41/1.47      | between(U,V,W) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b5,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(U,W,X)
% 1.41/1.47      | between(V,W,X) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b6,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(V,W,X)
% 1.41/1.47      | between(U,W,X)
% 1.41/1.47      | V = W ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b7,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(V,W,X)
% 1.41/1.47      | between(U,V,X)
% 1.41/1.47      | V = W ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b8,axiom,
% 1.41/1.47      ( ~ between(U,V,X)
% 1.41/1.47      | ~ between(V,W,X)
% 1.41/1.47      | between(U,W,X) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b9,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(U,W,X)
% 1.41/1.47      | between(U,V,X) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(e2_1,axiom,
% 1.41/1.47      lower_dimension_point_1 != lower_dimension_point_2 ).
% 1.41/1.47  
% 1.41/1.47  cnf(e2_2,axiom,
% 1.41/1.47      lower_dimension_point_2 != lower_dimension_point_3 ).
% 1.41/1.47  
% 1.41/1.47  cnf(e2_3,axiom,
% 1.41/1.47      lower_dimension_point_1 != lower_dimension_point_3 ).
% 1.41/1.47  
% 1.41/1.47  cnf(e3_1,axiom,
% 1.41/1.47      V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 1.41/1.47  
% 1.41/1.47  cnf(e3_2,axiom,
% 1.41/1.47      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)) ).
% 1.41/1.47  
% 1.41/1.47  cnf(e3_3,axiom,
% 1.41/1.47      between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 1.41/1.47  
% 1.41/1.47  cnf(b10,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ between(U1,V1,W)
% 1.41/1.47      | ~ between(U,X,U1)
% 1.41/1.47      | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 1.41/1.47      | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d11,axiom,
% 1.41/1.47      ( ~ between(U,V,W)
% 1.41/1.47      | ~ equidistant(U,W,U,W1)
% 1.41/1.47      | ~ equidistant(V,W,V,W1)
% 1.41/1.47      | U = V
% 1.41/1.47      | W = W1 ) ).
% 1.41/1.47  
% 1.41/1.47  cnf(d12,axiom,
% 1.41/1.47      ( ~ equidistant(U,V,U1,V1)
% 1.41/1.47      | ~ equidistant(U,W,U1,W1)
% 1.41/1.47      | ~ equidistant(U,X,U1,X1)
% 1.41/1.47      | ~ equidistant(W,X,W1,X1)
% 1.41/1.48      | ~ between(U,V,W)
% 1.41/1.48      | ~ between(U1,V1,W1)
% 1.41/1.48      | equidistant(V,X,V1,X1) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(d13,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | ~ between(U1,V1,W1)
% 1.41/1.48      | ~ equidistant(U,V,U1,V1)
% 1.41/1.48      | ~ equidistant(U,W,U1,W1)
% 1.41/1.48      | equidistant(V,W,V1,W1) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(d14,axiom,
% 1.41/1.48      ( ~ equidistant(U,V,U1,V1)
% 1.41/1.48      | ~ equidistant(V,W,V1,W1)
% 1.41/1.48      | ~ equidistant(U,X,U1,X1)
% 1.41/1.48      | ~ equidistant(W,X,W1,X1)
% 1.41/1.48      | ~ between(U,V,W)
% 1.41/1.48      | ~ between(U1,V1,W1)
% 1.41/1.48      | equidistant(V,X,V1,X1) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(d15,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | ~ equidistant(U,V,U,X)
% 1.41/1.48      | ~ equidistant(W,V,W,X)
% 1.41/1.48      | V = X ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(i2_1,axiom,
% 1.41/1.48      equidistant(U,V,U1,insertion(U1,W1,U,V)) ).
% 1.41/1.48  
% 1.41/1.48  cnf(i2_2,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | ~ equidistant(U,W,U1,W1)
% 1.41/1.48      | between(U1,insertion(U1,W1,U,V),W1) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(i2_3,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | ~ equidistant(U,W,U1,W1)
% 1.41/1.48      | equidistant(V,W,insertion(U1,W1,U,V),W1) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(i3,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | V = insertion(U,W,U,V) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(i4,axiom,
% 1.41/1.48      ( ~ equidistant(W,X,Y,Z)
% 1.41/1.48      | insertion(U,V,W,X) = insertion(U,V,Y,Z) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(b11,axiom,
% 1.41/1.48      ( ~ equidistant(U,V,U1,V1)
% 1.41/1.48      | ~ equidistant(V,W,V1,W1)
% 1.41/1.48      | ~ equidistant(U,W,U1,W1)
% 1.41/1.48      | ~ between(U,V,W)
% 1.41/1.48      | between(U1,V1,W1) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(b12,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | ~ between(U,V,X)
% 1.41/1.48      | U = V
% 1.41/1.48      | between(U,W,X)
% 1.41/1.48      | between(U,X,W) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(b13,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | ~ between(U,V,X)
% 1.41/1.48      | U = V
% 1.41/1.48      | between(V,W,X)
% 1.41/1.48      | between(V,X,W) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(t7,axiom,
% 1.41/1.48      ( ~ between(U,W,X)
% 1.41/1.48      | ~ between(V,W,X)
% 1.41/1.48      | W = X
% 1.41/1.48      | between(U,V,W)
% 1.41/1.48      | between(V,U,W) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(t9,axiom,
% 1.41/1.48      ( ~ between(U,V,X)
% 1.41/1.48      | ~ between(U,W,X)
% 1.41/1.48      | between(U,V,W)
% 1.41/1.48      | between(U,W,V) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(b14,axiom,
% 1.41/1.48      ( ~ between(U,V,X)
% 1.41/1.48      | ~ between(U,W,X)
% 1.41/1.48      | between(V,W,X)
% 1.41/1.48      | between(W,V,X) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(t8,axiom,
% 1.41/1.48      ( ~ between(U,V,Y)
% 1.41/1.48      | ~ between(V,W,X)
% 1.41/1.48      | ~ between(U,X,Y)
% 1.41/1.48      | between(U,W,Y) ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(b15,axiom,
% 1.41/1.48      ( ~ between(U,V,W)
% 1.41/1.48      | ~ equidistant(U,V,U,W)
% 1.41/1.48      | V = W ) ).
% 1.41/1.48  
% 1.41/1.48  cnf(v_between_w_and_u,hypothesis,
% 1.41/1.48      between(w,v,u) ).
% 1.41/1.48  
% 1.41/1.48  cnf(prove_uvw_colinear,negated_conjecture,
% 1.41/1.48      ~ colinear(u,v,w) ).
% 1.41/1.48  
% 1.41/1.48  %--------------------------------------------------------------------------
% 1.41/1.48  %-------------------------------------------
% 1.41/1.48  % Proof found
% 1.41/1.48  % SZS status Theorem for theBenchmark
% 1.41/1.48  % SZS output start Proof
% 1.41/1.48  %ClaNum:124(EqnAxiom:38)
% 1.41/1.48  %VarNum:822(SingletonVarNum:294)
% 1.41/1.48  %MaxLitNum:8
% 1.41/1.48  %MaxfuncDepth:2
% 1.41/1.48  %SharedTerms:14
% 1.41/1.48  %goalClause: 62
% 1.41/1.48  %singleGoalClaCount:1
% 1.41/1.48  [39]P1(a1,a2,a3)
% 1.41/1.48  [56]~E(a10,a8)
% 1.41/1.48  [57]~E(a11,a8)
% 1.41/1.48  [58]~E(a11,a10)
% 1.41/1.48  [59]~P1(a8,a10,a11)
% 1.41/1.48  [60]~P1(a10,a11,a8)
% 1.41/1.48  [61]~P1(a11,a8,a10)
% 1.41/1.48  [62]~P3(a3,a2,a1)
% 1.41/1.48  [40]P1(x401,x402,x402)
% 1.41/1.48  [41]P1(x411,x411,x412)
% 1.41/1.48  [42]P2(x421,x422,x422,x421)
% 1.41/1.48  [43]P2(x431,x432,x431,x432)
% 1.41/1.48  [44]P2(x441,x441,x442,x442)
% 1.41/1.48  [63]~E(f4(x631,x632,a8,a10),x632)
% 1.41/1.48  [53]E(f4(f4(x531,x532,x531,x532),x532,f4(x531,x532,x531,x532),x532),x531)
% 1.41/1.48  [55]P2(x551,x552,x551,f4(f4(x552,x551,x552,x551),x551,f4(x552,x551,x552,x551),x551))
% 1.41/1.48  [45]E(f4(x451,x452,x453,x453),x452)
% 1.41/1.48  [48]P1(x481,x482,f4(x481,x482,x483,x484))
% 1.41/1.48  [50]P2(x501,f4(x502,x501,x503,x504),x503,x504)
% 1.41/1.48  [52]P2(x521,f4(x522,x521,a8,a10),x523,f4(x524,x523,a8,a10))
% 1.41/1.48  [54]P2(x541,x542,x543,f4(f4(x544,x543,a8,a10),x543,x541,x542))
% 1.41/1.48  [64]~P1(x641,x642,x641)+E(x641,x642)
% 1.41/1.48  [80]~E(x801,x802)+E(f4(x801,x802,x801,x802),x802)
% 1.41/1.48  [89]E(x891,x892)+~E(f4(x892,x891,x892,x891),x891)
% 1.41/1.48  [92]E(x921,x922)+E(f4(x921,x922,x921,x922),f4(x921,x922,x922,x921))
% 1.41/1.48  [65]~P1(x653,x652,x651)+P1(x651,x652,x653)
% 1.41/1.48  [66]~P1(x662,x663,x661)+P3(x661,x662,x663)
% 1.41/1.48  [67]~P1(x673,x671,x672)+P3(x671,x672,x673)
% 1.41/1.48  [68]~P1(x681,x682,x683)+P3(x681,x682,x683)
% 1.41/1.48  [88]~P2(x881,x882,x883,x883)+E(x881,x882)
% 1.41/1.48  [101]~P1(x1012,x1013,x1011)+E(f4(f4(x1011,x1012,a8,a10),x1012,x1012,x1013),x1013)
% 1.41/1.48  [94]~P2(x944,x943,x942,x941)+P2(x941,x942,x943,x944)
% 1.41/1.48  [95]~P2(x953,x954,x952,x951)+P2(x951,x952,x953,x954)
% 1.41/1.48  [96]~P2(x964,x963,x961,x962)+P2(x961,x962,x963,x964)
% 1.41/1.48  [97]~P2(x973,x974,x971,x972)+P2(x971,x972,x973,x974)
% 1.41/1.48  [98]~P2(x982,x981,x984,x983)+P2(x981,x982,x983,x984)
% 1.41/1.48  [99]~P2(x992,x991,x993,x994)+P2(x991,x992,x993,x994)
% 1.41/1.48  [100]~P2(x1001,x1002,x1004,x1003)+P2(x1001,x1002,x1003,x1004)
% 1.41/1.48  [90]P1(x901,x902,x903)+~E(x903,f4(x901,x902,x904,x905))
% 1.41/1.48  [111]~P2(x1113,x1114,x1115,x1116)+E(f4(f4(x1111,x1112,a8,a10),x1112,x1113,x1114),f4(f4(x1111,x1112,a8,a10),x1112,x1115,x1116))
% 1.41/1.48  [70]~P1(x703,x701,x702)+E(x701,x702)+~P1(x703,x702,x701)
% 1.41/1.48  [71]~P1(x711,x712,x713)+E(x711,x712)+~P1(x712,x711,x713)
% 1.41/1.48  [91]~P2(x913,x911,x913,x912)+E(x911,x912)+~P1(x913,x911,x912)
% 1.41/1.48  [87]~P1(x871,x872,x873)+E(x871,x872)+E(f4(x871,x872,x872,x873),x873)
% 1.41/1.48  [69]~P1(x694,x692,x693)+P1(x691,x692,x693)+~E(x694,x693)
% 1.41/1.48  [74]~P1(x744,x741,x742)+P1(x741,x742,x743)+~P1(x744,x742,x743)
% 1.41/1.48  [75]~P1(x751,x754,x753)+P1(x751,x752,x753)+~P1(x754,x752,x753)
% 1.41/1.48  [76]~P1(x761,x762,x764)+P1(x761,x762,x763)+~P1(x761,x764,x763)
% 1.41/1.48  [117]~P1(x1175,x1171,x1174)+~P1(x1172,x1173,x1174)+P1(x1171,f9(x1172,x1173,x1174,x1171,x1175),x1172)
% 1.41/1.48  [118]~P1(x1185,x1184,x1183)+~P1(x1182,x1181,x1183)+P1(x1181,f9(x1182,x1181,x1183,x1184,x1185),x1185)
% 1.41/1.48  [115]~P2(x1153,x1155,x1151,x1152)+~P1(x1153,x1154,x1155)+P1(x1151,f4(f4(x1152,x1151,a8,a10),x1151,x1153,x1154),x1152)
% 1.41/1.48  [116]~P1(x1165,x1161,x1162)+~P2(x1165,x1162,x1164,x1163)+P2(x1161,x1162,f4(f4(x1163,x1164,a8,a10),x1164,x1165,x1161),x1163)
% 1.41/1.48  [105]~P2(x1055,x1056,x1051,x1052)+P2(x1051,x1052,x1053,x1054)+~P2(x1055,x1056,x1053,x1054)
% 1.41/1.48  [106]~P2(x1061,x1062,x1065,x1066)+P2(x1061,x1062,x1063,x1064)+~P2(x1065,x1066,x1063,x1064)
% 1.41/1.48  [104]~P2(x1043,x1044,x1045,x1046)+E(x1041,x1042)+E(f4(x1041,x1042,x1043,x1044),f4(x1041,x1042,x1045,x1046))
% 1.41/1.48  [79]P1(x793,x791,x792)+P1(x792,x793,x791)+~P3(x792,x793,x791)+P1(x791,x792,x793)
% 1.41/1.48  [77]~P1(x771,x772,x774)+~P1(x773,x771,x772)+E(x771,x772)+P1(x773,x772,x774)
% 1.41/1.48  [78]~P1(x781,x782,x784)+~P1(x783,x781,x782)+E(x781,x782)+P1(x783,x781,x784)
% 1.41/1.48  [81]P1(x812,x811,x813)+~P1(x814,x812,x813)+P1(x811,x812,x813)+~P1(x814,x811,x813)
% 1.41/1.48  [82]P1(x821,x823,x822)+~P1(x821,x823,x824)+P1(x821,x822,x823)+~P1(x821,x822,x824)
% 1.41/1.48  [102]~P2(x1024,x1021,x1024,x1022)+~P2(x1023,x1021,x1023,x1022)+E(x1021,x1022)+~P1(x1023,x1021,x1024)
% 1.41/1.48  [86]~P1(x861,x865,x863)+~P1(x861,x864,x863)+P1(x861,x862,x863)+~P1(x864,x862,x865)
% 1.41/1.48  [119]~P1(x1194,x1192,x1193)+~P1(x1191,x1192,x1195)+E(x1191,x1192)+P1(x1191,x1193,f5(x1191,x1194,x1192,x1193,x1195))
% 1.41/1.48  [120]~P1(x1203,x1202,x1204)+~P1(x1201,x1202,x1205)+E(x1201,x1202)+P1(x1201,x1203,f6(x1201,x1203,x1202,x1204,x1205))
% 1.41/1.48  [121]~P1(x1213,x1212,x1214)+~P1(x1211,x1212,x1215)+E(x1211,x1212)+P1(f6(x1211,x1213,x1212,x1214,x1215),x1215,f5(x1211,x1213,x1212,x1214,x1215))
% 1.41/1.48  [83]P1(x834,x833,x831)+~P1(x833,x831,x832)+~P1(x834,x831,x832)+E(x831,x832)+P1(x833,x834,x831)
% 1.41/1.48  [84]P1(x842,x844,x843)+~P1(x841,x842,x843)+~P1(x841,x842,x844)+E(x841,x842)+P1(x842,x843,x844)
% 1.41/1.48  [85]P1(x851,x854,x853)+~P1(x851,x852,x853)+~P1(x851,x852,x854)+E(x851,x852)+P1(x851,x853,x854)
% 1.41/1.48  [93]~P1(x933,x934,x932)+~P1(x933,x934,x931)+~P2(x934,x931,x934,x932)+E(x931,x932)+E(x933,x934)
% 1.41/1.48  [103]~P1(x1033,x1034,x1031)+~P2(x1034,x1031,x1034,x1032)+~P2(x1033,x1031,x1033,x1032)+E(x1031,x1032)+E(x1033,x1034)
% 1.41/1.48  [107]~P2(x1076,x1072,x1075,x1074)+~P2(x1076,x1071,x1075,x1073)+P2(x1071,x1072,x1073,x1074)+~P1(x1075,x1073,x1074)+~P1(x1076,x1071,x1072)
% 1.41/1.48  [108]~P2(x1086,x1082,x1085,x1084)+~P2(x1081,x1086,x1083,x1085)+P2(x1081,x1082,x1083,x1084)+~P1(x1083,x1085,x1084)+~P1(x1081,x1086,x1082)
% 1.41/1.48  [109]~P2(x1095,x1096,x1092,x1093)+~P2(x1094,x1096,x1091,x1093)+~P2(x1094,x1095,x1091,x1092)+P1(x1091,x1092,x1093)+~P1(x1094,x1095,x1096)
% 1.41/1.48  [122]~P1(x1223,x1224,x1225)+~P1(x1222,x1223,x1225)+~P2(x1222,x1225,x1222,x1226)+~P2(x1222,x1223,x1222,x1221)+P1(x1221,f7(x1222,x1223,x1221,x1224,x1225,x1226),x1226)
% 1.41/1.48  [123]~P1(x1233,x1232,x1235)+~P1(x1231,x1233,x1235)+~P2(x1231,x1235,x1231,x1236)+~P2(x1231,x1233,x1231,x1234)+P2(x1231,x1232,x1231,f7(x1231,x1233,x1234,x1232,x1235,x1236))
% 1.41/1.48  [124]~P1(x1244,x1242,x1245)+~P1(x1243,x1241,x1244)+~P1(x1243,x1246,x1245)+P1(x1241,f9(x1242,f9(x1243,x1241,x1244,x1242,x1245),x1243,x1246,x1245),x1245)+P1(x1246,f9(x1242,f9(x1243,x1241,x1244,x1242,x1245),x1243,x1246,x1245),x1242)
% 1.41/1.48  [110]P1(x1105,x1103,x1104)+P1(x1104,x1105,x1103)+~P2(x1103,x1101,x1103,x1102)+~P2(x1105,x1101,x1105,x1102)+~P2(x1104,x1101,x1104,x1102)+E(x1101,x1102)+P1(x1103,x1104,x1105)
% 1.41/1.48  [112]~P2(x1128,x1122,x1126,x1124)+~P2(x1121,x1128,x1123,x1126)+~P2(x1127,x1122,x1125,x1124)+~P2(x1127,x1121,x1125,x1123)+P2(x1121,x1122,x1123,x1124)+~P1(x1125,x1123,x1126)+~P1(x1127,x1121,x1128)
% 1.41/1.48  [113]~P2(x1138,x1132,x1136,x1134)+~P2(x1137,x1132,x1135,x1134)+~P2(x1137,x1138,x1135,x1136)+~P2(x1137,x1131,x1135,x1133)+P2(x1131,x1132,x1133,x1134)+~P1(x1135,x1133,x1136)+~P1(x1137,x1131,x1138)
% 1.41/1.48  [114]~P1(x1141,x1142,x1143)+~P2(x1142,x1144,x1148,x1146)+~P2(x1142,x1143,x1148,x1145)+~P2(x1141,x1144,x1147,x1146)+~P2(x1141,x1142,x1147,x1148)+E(x1141,x1142)+P2(x1143,x1144,x1145,x1146)+~P1(x1147,x1148,x1145)
% 1.41/1.48  %EqnAxiom
% 1.41/1.48  [1]E(x11,x11)
% 1.41/1.48  [2]E(x22,x21)+~E(x21,x22)
% 1.41/1.48  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.41/1.48  [4]~E(x41,x42)+E(f4(x41,x43,x44,x45),f4(x42,x43,x44,x45))
% 1.41/1.48  [5]~E(x51,x52)+E(f4(x53,x51,x54,x55),f4(x53,x52,x54,x55))
% 1.41/1.48  [6]~E(x61,x62)+E(f4(x63,x64,x61,x65),f4(x63,x64,x62,x65))
% 1.41/1.48  [7]~E(x71,x72)+E(f4(x73,x74,x75,x71),f4(x73,x74,x75,x72))
% 1.41/1.48  [8]~E(x81,x82)+E(f9(x81,x83,x84,x85,x86),f9(x82,x83,x84,x85,x86))
% 1.41/1.48  [9]~E(x91,x92)+E(f9(x93,x91,x94,x95,x96),f9(x93,x92,x94,x95,x96))
% 1.41/1.48  [10]~E(x101,x102)+E(f9(x103,x104,x101,x105,x106),f9(x103,x104,x102,x105,x106))
% 1.41/1.48  [11]~E(x111,x112)+E(f9(x113,x114,x115,x111,x116),f9(x113,x114,x115,x112,x116))
% 1.41/1.48  [12]~E(x121,x122)+E(f9(x123,x124,x125,x126,x121),f9(x123,x124,x125,x126,x122))
% 1.41/1.48  [13]~E(x131,x132)+E(f5(x131,x133,x134,x135,x136),f5(x132,x133,x134,x135,x136))
% 1.41/1.48  [14]~E(x141,x142)+E(f5(x143,x141,x144,x145,x146),f5(x143,x142,x144,x145,x146))
% 1.41/1.48  [15]~E(x151,x152)+E(f5(x153,x154,x151,x155,x156),f5(x153,x154,x152,x155,x156))
% 1.41/1.48  [16]~E(x161,x162)+E(f5(x163,x164,x165,x161,x166),f5(x163,x164,x165,x162,x166))
% 1.41/1.48  [17]~E(x171,x172)+E(f5(x173,x174,x175,x176,x171),f5(x173,x174,x175,x176,x172))
% 1.41/1.48  [18]~E(x181,x182)+E(f6(x181,x183,x184,x185,x186),f6(x182,x183,x184,x185,x186))
% 1.41/1.48  [19]~E(x191,x192)+E(f6(x193,x191,x194,x195,x196),f6(x193,x192,x194,x195,x196))
% 1.41/1.48  [20]~E(x201,x202)+E(f6(x203,x204,x201,x205,x206),f6(x203,x204,x202,x205,x206))
% 1.41/1.48  [21]~E(x211,x212)+E(f6(x213,x214,x215,x211,x216),f6(x213,x214,x215,x212,x216))
% 1.41/1.48  [22]~E(x221,x222)+E(f6(x223,x224,x225,x226,x221),f6(x223,x224,x225,x226,x222))
% 1.41/1.48  [23]~E(x231,x232)+E(f7(x231,x233,x234,x235,x236,x237),f7(x232,x233,x234,x235,x236,x237))
% 1.41/1.48  [24]~E(x241,x242)+E(f7(x243,x241,x244,x245,x246,x247),f7(x243,x242,x244,x245,x246,x247))
% 1.41/1.48  [25]~E(x251,x252)+E(f7(x253,x254,x251,x255,x256,x257),f7(x253,x254,x252,x255,x256,x257))
% 1.41/1.48  [26]~E(x261,x262)+E(f7(x263,x264,x265,x261,x266,x267),f7(x263,x264,x265,x262,x266,x267))
% 1.41/1.48  [27]~E(x271,x272)+E(f7(x273,x274,x275,x276,x271,x277),f7(x273,x274,x275,x276,x272,x277))
% 1.41/1.48  [28]~E(x281,x282)+E(f7(x283,x284,x285,x286,x287,x281),f7(x283,x284,x285,x286,x287,x282))
% 1.41/1.48  [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 1.41/1.48  [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 1.41/1.48  [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 1.41/1.48  [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 1.41/1.48  [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 1.41/1.48  [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 1.41/1.48  [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 1.41/1.48  [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 1.41/1.48  [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 1.41/1.48  [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 1.41/1.48  
% 1.41/1.48  %-------------------------------------------
% 1.41/1.49  cnf(125,plain,
% 1.41/1.49     (E(x1251,f4(x1252,x1251,x1253,x1253))),
% 1.41/1.49     inference(scs_inference,[],[45,2])).
% 1.41/1.49  cnf(126,plain,
% 1.41/1.49     (~P2(a10,a8,x1261,x1261)),
% 1.41/1.49     inference(scs_inference,[],[56,45,2,88])).
% 1.41/1.49  cnf(128,plain,
% 1.41/1.49     (~P1(a3,a2,a1)),
% 1.41/1.49     inference(scs_inference,[],[62,56,45,2,88,68])).
% 1.41/1.49  cnf(130,plain,
% 1.41/1.49     (~P1(a1,a3,a2)),
% 1.41/1.49     inference(scs_inference,[],[62,56,45,2,88,68,67])).
% 1.41/1.49  cnf(134,plain,
% 1.41/1.49     (~P1(a11,a10,a8)),
% 1.41/1.49     inference(scs_inference,[],[62,56,59,45,2,88,68,67,66,65])).
% 1.41/1.49  cnf(139,plain,
% 1.41/1.49     (E(f4(x1391,x1392,x1393,x1393),x1392)),
% 1.41/1.49     inference(rename_variables,[],[45])).
% 1.41/1.49  cnf(141,plain,
% 1.41/1.49     (~E(a8,a10)),
% 1.41/1.49     inference(scs_inference,[],[62,56,59,45,63,2,88,68,67,66,65,64,90,80])).
% 1.41/1.49  cnf(144,plain,
% 1.41/1.49     (P2(x1441,x1441,f4(x1442,x1443,x1444,x1444),x1443)),
% 1.41/1.49     inference(scs_inference,[],[62,44,56,59,45,139,63,2,88,68,67,66,65,64,90,80,35])).
% 1.41/1.49  cnf(145,plain,
% 1.41/1.49     (P2(x1451,x1451,x1452,x1452)),
% 1.41/1.49     inference(rename_variables,[],[44])).
% 1.41/1.49  cnf(146,plain,
% 1.41/1.49     (P2(x1461,x1461,x1462,f4(x1463,x1462,x1464,x1464))),
% 1.41/1.49     inference(scs_inference,[],[62,44,145,56,59,45,139,63,2,88,68,67,66,65,64,90,80,35,34])).
% 1.41/1.49  cnf(149,plain,
% 1.41/1.49     (P2(x1491,f4(x1492,x1491,x1493,x1494),x1493,x1494)),
% 1.41/1.49     inference(rename_variables,[],[50])).
% 1.41/1.49  cnf(150,plain,
% 1.41/1.49     (P2(x1501,f4(x1502,f4(x1503,x1501,x1504,x1504),x1505,x1506),x1505,x1506)),
% 1.41/1.49     inference(scs_inference,[],[62,44,145,56,59,50,149,45,139,63,2,88,68,67,66,65,64,90,80,35,34,33,32])).
% 1.41/1.49  cnf(151,plain,
% 1.41/1.49     (P2(x1511,f4(x1512,x1511,x1513,x1514),x1513,x1514)),
% 1.41/1.49     inference(rename_variables,[],[50])).
% 1.41/1.49  cnf(153,plain,
% 1.41/1.49     (P1(x1531,x1532,x1532)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(154,plain,
% 1.41/1.49     (P1(x1541,x1542,f4(x1541,f4(x1543,x1542,x1544,x1544),x1545,x1546))),
% 1.41/1.49     inference(scs_inference,[],[62,44,145,40,56,59,50,149,48,45,139,63,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30])).
% 1.41/1.49  cnf(155,plain,
% 1.41/1.49     (P1(x1551,x1552,f4(x1551,x1552,x1553,x1554))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(157,plain,
% 1.41/1.49     (P1(x1571,x1572,f4(x1571,x1572,x1573,x1574))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(159,plain,
% 1.41/1.49     (E(f4(x1591,x1592,x1593,x1593),x1592)),
% 1.41/1.49     inference(rename_variables,[],[45])).
% 1.41/1.49  cnf(161,plain,
% 1.41/1.49     (P2(x1611,f4(x1612,x1611,x1613,x1614),x1613,x1614)),
% 1.41/1.49     inference(rename_variables,[],[50])).
% 1.41/1.49  cnf(162,plain,
% 1.41/1.49     (P2(x1621,x1622,x1622,x1621)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(166,plain,
% 1.41/1.49     (P2(x1661,x1662,x1662,x1661)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(169,plain,
% 1.41/1.49     (P1(x1691,x1691,x1692)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(172,plain,
% 1.41/1.49     (P1(x1721,x1722,x1722)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(175,plain,
% 1.41/1.49     (P1(x1751,x1751,x1752)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(180,plain,
% 1.41/1.49     (P1(x1801,x1802,x1802)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(181,plain,
% 1.41/1.49     (P1(x1811,x1811,x1812)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(182,plain,
% 1.41/1.49     (P2(x1821,x1822,x1822,x1821)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(185,plain,
% 1.41/1.49     (P1(x1851,x1852,x1852)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(190,plain,
% 1.41/1.49     (P1(x1901,x1902,x1902)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(191,plain,
% 1.41/1.49     (P1(x1911,x1912,f4(x1911,x1912,x1913,x1914))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(192,plain,
% 1.41/1.49     (P2(x1921,x1922,x1922,x1921)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(193,plain,
% 1.41/1.49     (P2(x1931,f4(x1932,x1931,x1933,x1934),x1933,x1934)),
% 1.41/1.49     inference(rename_variables,[],[50])).
% 1.41/1.49  cnf(194,plain,
% 1.41/1.49     (P2(x1941,x1942,x1943,f4(f4(x1944,x1943,a8,a10),x1943,x1941,x1942))),
% 1.41/1.49     inference(rename_variables,[],[54])).
% 1.41/1.49  cnf(202,plain,
% 1.41/1.49     (P2(x2021,x2022,x2023,f4(x2024,x2023,x2021,x2022))),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,44,145,40,153,172,180,185,41,169,175,56,57,59,60,61,50,149,151,161,193,48,155,157,45,139,63,52,54,194,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97])).
% 1.41/1.49  cnf(204,plain,
% 1.41/1.49     (P2(x2041,x2042,f4(x2043,x2044,x2041,x2042),x2044)),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,44,145,40,153,172,180,185,41,169,175,56,57,59,60,61,50,149,151,161,193,48,155,157,45,139,63,52,54,194,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96])).
% 1.41/1.49  cnf(237,plain,
% 1.41/1.49     (~E(f4(a8,a11,a8,a11),a11)),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,192,44,145,40,153,172,180,185,41,169,175,56,57,59,60,61,50,149,151,161,193,48,155,157,45,139,159,63,52,54,194,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89])).
% 1.41/1.49  cnf(244,plain,
% 1.41/1.49     (~P3(a3,f4(f4(a2,x2441,a2,x2441),x2441,f4(a2,x2441,a2,x2441),x2441),a1)),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,192,44,145,40,153,172,180,185,190,41,169,175,56,57,59,60,61,50,149,151,161,193,48,155,157,45,139,159,63,52,54,194,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37])).
% 1.41/1.49  cnf(247,plain,
% 1.41/1.49     (P1(x2471,x2472,f4(x2471,x2472,x2473,x2474))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(250,plain,
% 1.41/1.49     (P1(x2501,x2502,x2502)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(257,plain,
% 1.41/1.49     (P1(x2571,x2571,x2572)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(260,plain,
% 1.41/1.49     (P1(x2601,x2602,x2602)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(263,plain,
% 1.41/1.49     (P2(x2631,x2632,x2632,x2631)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(269,plain,
% 1.41/1.49     (P1(x2691,x2692,x2692)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(273,plain,
% 1.41/1.49     (P1(a10,a8,f5(a10,a10,a8,a8,a8))),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,192,263,44,145,40,153,172,180,185,190,250,260,269,41,169,175,181,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,45,139,159,63,52,54,194,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118,117,116,115,104,86,82,119])).
% 1.41/1.49  cnf(275,plain,
% 1.41/1.49     (P1(x2751,x2752,x2752)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(279,plain,
% 1.41/1.49     (P1(x2791,x2792,x2792)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(282,plain,
% 1.41/1.49     (P1(x2821,x2822,x2822)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(283,plain,
% 1.41/1.49     (P2(x2831,x2832,x2832,x2831)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(285,plain,
% 1.41/1.49     (P2(x2851,x2851,x2851,f7(x2851,x2851,x2851,x2851,x2851,x2851))),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,192,263,283,44,145,40,153,172,180,185,190,250,260,269,275,279,282,41,169,175,181,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,45,139,159,63,52,54,194,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118,117,116,115,104,86,82,119,121,108,123])).
% 1.41/1.49  cnf(288,plain,
% 1.41/1.49     (P1(x2881,x2882,x2882)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(289,plain,
% 1.41/1.49     (P2(x2891,x2892,x2892,x2891)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(292,plain,
% 1.41/1.49     (P1(x2921,x2922,x2922)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(294,plain,
% 1.41/1.49     (P1(x2941,x2942,x2942)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(295,plain,
% 1.41/1.49     (P2(x2951,x2952,x2952,x2951)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(302,plain,
% 1.41/1.49     (E(x3021,f4(f4(x3021,x3021,x3021,x3021),x3021,f4(x3021,x3021,x3021,x3021),x3021))),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,192,263,283,289,44,145,40,153,172,180,185,190,250,260,269,275,279,282,288,294,41,169,175,181,257,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,45,139,159,63,52,54,194,55,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118,117,116,115,104,86,82,119,121,108,123,122,74,87,102])).
% 1.41/1.49  cnf(305,plain,
% 1.41/1.49     (P1(x3051,x3052,x3052)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(309,plain,
% 1.41/1.49     (P1(x3091,x3092,x3092)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(312,plain,
% 1.41/1.49     (P2(x3121,x3122,x3122,x3121)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(314,plain,
% 1.41/1.49     (P1(x3141,f9(x3141,f9(x3141,x3141,x3141,x3141,x3141),x3141,x3141,x3141),x3141)),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,192,263,283,289,295,44,145,40,153,172,180,185,190,250,260,269,275,279,282,288,294,305,309,292,41,169,175,181,257,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,45,139,159,63,52,54,194,55,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118,117,116,115,104,86,82,119,121,108,123,122,74,87,102,120,109,124])).
% 1.41/1.49  cnf(317,plain,
% 1.41/1.49     (P1(x3171,x3172,x3172)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(319,plain,
% 1.41/1.49     (P2(f4(x3191,x3192,x3193,x3194),f4(x3191,x3192,x3193,x3194),x3192,f4(x3191,x3192,x3193,x3194))+~P2(x3191,f4(x3191,x3192,x3193,x3194),x3191,x3192)),
% 1.41/1.49     inference(scs_inference,[],[62,42,162,166,182,192,263,283,289,295,312,43,44,145,40,153,172,180,185,190,250,260,269,275,279,282,288,294,305,309,317,292,41,169,175,181,257,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,247,45,139,159,63,52,54,194,55,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118,117,116,115,104,86,82,119,121,108,123,122,74,87,102,120,109,124,113])).
% 1.41/1.49  cnf(332,plain,
% 1.41/1.49     (P3(x3321,x3322,x3322)),
% 1.41/1.49     inference(scs_inference,[],[40,150,88,68])).
% 1.41/1.49  cnf(334,plain,
% 1.41/1.49     (P1(f4(x3341,x3342,x3343,x3344),x3342,x3341)),
% 1.41/1.49     inference(scs_inference,[],[40,48,150,88,68,65])).
% 1.41/1.49  cnf(341,plain,
% 1.41/1.49     (P2(x3411,x3412,x3412,x3411)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(343,plain,
% 1.41/1.49     (~P1(x3431,f4(x3431,x3432,a8,a10),x3432)),
% 1.41/1.49     inference(scs_inference,[],[58,42,40,48,63,314,150,126,88,68,65,104,64,106,70])).
% 1.41/1.49  cnf(344,plain,
% 1.41/1.49     (P1(x3441,x3442,f4(x3441,x3442,x3443,x3444))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(346,plain,
% 1.41/1.49     (P1(x3461,f9(x3461,x3461,x3462,x3462,x3463),x3463)),
% 1.41/1.49     inference(scs_inference,[],[58,42,40,41,48,63,314,150,126,88,68,65,104,64,106,70,118])).
% 1.41/1.49  cnf(347,plain,
% 1.41/1.49     (P1(x3471,x3471,x3472)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(349,plain,
% 1.41/1.49     (P1(x3491,f9(x3492,x3492,x3491,x3491,x3493),x3492)),
% 1.41/1.49     inference(scs_inference,[],[58,42,40,41,347,48,63,314,150,126,88,68,65,104,64,106,70,118,117])).
% 1.41/1.49  cnf(350,plain,
% 1.41/1.49     (P1(x3501,x3501,x3502)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(353,plain,
% 1.41/1.49     (P1(x3531,x3532,x3532)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(354,plain,
% 1.41/1.49     (P1(x3541,x3542,x3542)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(357,plain,
% 1.41/1.49     (P1(x3571,x3572,x3572)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(358,plain,
% 1.41/1.49     (P1(x3581,x3582,x3582)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(365,plain,
% 1.41/1.49     (~E(f4(x3651,x3652,a8,a10),x3652)),
% 1.41/1.49     inference(rename_variables,[],[63])).
% 1.41/1.49  cnf(366,plain,
% 1.41/1.49     (P1(x3661,x3662,x3662)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(367,plain,
% 1.41/1.49     (P1(x3671,x3672,f4(x3671,x3672,x3673,x3674))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(371,plain,
% 1.41/1.49     (P2(x3711,x3712,x3712,x3711)),
% 1.41/1.49     inference(rename_variables,[],[42])).
% 1.41/1.49  cnf(373,plain,
% 1.41/1.49     (P1(x3731,x3732,x3732)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(375,plain,
% 1.41/1.49     (~E(x3751,f4(x3752,x3751,a8,a10))),
% 1.41/1.49     inference(scs_inference,[],[58,42,341,40,354,358,366,41,347,48,344,63,365,314,144,146,150,126,88,68,65,104,64,106,70,118,117,119,121,97,94,93,109,2])).
% 1.41/1.49  cnf(381,plain,
% 1.41/1.49     (E(x3811,f4(x3812,x3811,x3813,x3813))),
% 1.41/1.49     inference(rename_variables,[],[125])).
% 1.41/1.49  cnf(382,plain,
% 1.41/1.49     (P3(x3821,f4(f4(x3821,x3822,x3821,x3822),x3822,f4(x3821,x3822,x3821,x3822),x3822),x3823)),
% 1.41/1.49     inference(scs_inference,[],[125,58,42,341,40,354,358,366,373,41,347,48,344,63,365,53,314,144,146,150,126,88,68,65,104,64,106,70,118,117,119,121,97,94,93,109,2,67,66,38,36])).
% 1.41/1.49  cnf(389,plain,
% 1.41/1.49     (P1(x3891,x3892,x3892)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(396,plain,
% 1.41/1.49     (P1(x3961,x3962,x3962)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(397,plain,
% 1.41/1.49     (P2(x3971,f4(x3972,x3971,x3973,x3974),x3973,x3974)),
% 1.41/1.49     inference(rename_variables,[],[50])).
% 1.41/1.49  cnf(398,plain,
% 1.41/1.49     (P1(x3981,x3982,x3982)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(405,plain,
% 1.41/1.49     (P1(x4051,f7(x4052,f4(x4053,x4052,x4052,x4051),x4051,f4(x4053,x4052,x4052,x4051),f4(x4053,x4052,x4052,x4051),x4051),x4051)),
% 1.41/1.49     inference(scs_inference,[],[125,58,42,341,371,40,354,358,366,373,357,389,396,353,398,41,347,350,50,397,48,344,367,63,365,52,53,60,314,144,146,202,150,154,134,126,88,68,65,104,64,106,70,118,117,119,121,97,94,93,109,2,67,66,38,36,91,116,83,123,90,115,122])).
% 1.41/1.49  cnf(408,plain,
% 1.41/1.49     (P2(x4081,f4(x4082,x4081,x4083,x4084),x4083,x4084)),
% 1.41/1.49     inference(rename_variables,[],[50])).
% 1.41/1.49  cnf(411,plain,
% 1.41/1.49     (~P2(f4(a11,a10,a8,a10),a10,a10,a10)),
% 1.41/1.49     inference(scs_inference,[],[125,58,42,341,371,40,354,358,366,373,357,389,396,353,398,41,347,350,50,397,48,344,367,63,365,52,53,60,314,144,146,202,150,154,134,126,88,68,65,104,64,106,70,118,117,119,121,97,94,93,109,2,67,66,38,36,91,116,83,123,90,115,122,98])).
% 1.41/1.49  cnf(413,plain,
% 1.41/1.49     (E(f4(x4131,f4(x4132,x4131,x4133,x4133),x4131,f4(x4132,x4131,x4133,x4133)),f4(x4132,x4131,x4133,x4133))),
% 1.41/1.49     inference(scs_inference,[],[125,381,58,42,341,371,40,354,358,366,373,357,389,396,353,398,41,347,350,50,397,48,344,367,63,365,52,53,60,314,144,146,202,150,154,134,126,88,68,65,104,64,106,70,118,117,119,121,97,94,93,109,2,67,66,38,36,91,116,83,123,90,115,122,98,80])).
% 1.41/1.49  cnf(425,plain,
% 1.41/1.49     (~P2(x4251,f4(x4252,x4251,a10,a8),x4253,x4253)),
% 1.41/1.49     inference(scs_inference,[],[125,381,58,42,341,371,40,354,358,366,373,357,389,396,353,398,41,347,350,50,397,408,48,344,367,63,365,52,53,60,314,144,146,202,150,154,141,134,126,273,88,68,65,104,64,106,70,118,117,119,121,97,94,93,109,2,67,66,38,36,91,116,83,123,90,115,122,98,80,3,71,96,95,32,105])).
% 1.41/1.49  cnf(502,plain,
% 1.41/1.49     (P1(x5021,x5022,f4(x5021,x5022,x5023,x5024))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(509,plain,
% 1.41/1.49     (P2(x5091,x5091,x5092,x5092)),
% 1.41/1.49     inference(rename_variables,[],[44])).
% 1.41/1.49  cnf(512,plain,
% 1.41/1.49     (P1(x5121,f7(x5122,f4(x5123,x5122,x5122,x5121),x5121,f4(x5123,x5122,x5122,x5121),f4(x5123,x5122,x5122,x5121),x5121),x5121)),
% 1.41/1.49     inference(rename_variables,[],[405])).
% 1.41/1.49  cnf(513,plain,
% 1.41/1.49     (P1(x5131,x5131,x5132)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(518,plain,
% 1.41/1.49     (P1(x5181,x5182,f4(x5181,x5182,x5183,x5184))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(529,plain,
% 1.41/1.49     (P1(f4(x5291,x5292,x5293,x5294),x5292,x5291)),
% 1.41/1.49     inference(rename_variables,[],[334])).
% 1.41/1.49  cnf(530,plain,
% 1.41/1.49     (~E(f4(x5301,x5302,a8,a10),x5302)),
% 1.41/1.49     inference(rename_variables,[],[63])).
% 1.41/1.49  cnf(533,plain,
% 1.41/1.49     (P1(x5331,x5332,f4(x5331,x5332,x5333,x5334))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(540,plain,
% 1.41/1.49     (P1(x5401,x5402,f4(x5401,x5402,x5403,x5404))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(546,plain,
% 1.41/1.49     (~P1(x5461,f4(x5461,x5462,a8,a10),x5462)),
% 1.41/1.49     inference(rename_variables,[],[343])).
% 1.41/1.49  cnf(549,plain,
% 1.41/1.49     (P1(x5491,x5492,f4(x5491,x5492,x5493,x5494))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(552,plain,
% 1.41/1.49     (P1(x5521,x5522,f4(x5521,x5522,x5523,x5524))),
% 1.41/1.49     inference(rename_variables,[],[48])).
% 1.41/1.49  cnf(556,plain,
% 1.41/1.49     (P1(x5561,x5562,x5562)),
% 1.41/1.49     inference(rename_variables,[],[40])).
% 1.41/1.49  cnf(559,plain,
% 1.41/1.49     (P1(x5591,x5591,x5592)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(560,plain,
% 1.41/1.49     (P2(x5601,x5601,x5602,x5602)),
% 1.41/1.49     inference(rename_variables,[],[44])).
% 1.41/1.49  cnf(561,plain,
% 1.41/1.49     (P2(x5611,x5612,x5611,x5612)),
% 1.41/1.49     inference(rename_variables,[],[43])).
% 1.41/1.49  cnf(579,plain,
% 1.41/1.49     (P2(x5791,x5792,x5791,x5792)),
% 1.41/1.49     inference(rename_variables,[],[43])).
% 1.41/1.49  cnf(580,plain,
% 1.41/1.49     (P1(x5801,x5801,x5802)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(581,plain,
% 1.41/1.49     (P2(x5811,x5812,x5811,f4(f4(x5812,x5811,x5812,x5811),x5811,f4(x5812,x5811,x5812,x5811),x5811))),
% 1.41/1.49     inference(rename_variables,[],[55])).
% 1.41/1.49  cnf(585,plain,
% 1.41/1.49     (P1(x5851,x5851,x5852)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(588,plain,
% 1.41/1.49     (E(x5881,f4(x5882,x5881,x5883,x5883))),
% 1.41/1.49     inference(rename_variables,[],[125])).
% 1.41/1.49  cnf(592,plain,
% 1.41/1.49     (E(x5921,f4(x5922,x5921,x5923,x5923))),
% 1.41/1.49     inference(rename_variables,[],[125])).
% 1.41/1.49  cnf(594,plain,
% 1.41/1.49     (E(x5941,f4(x5942,x5941,x5943,x5943))),
% 1.41/1.49     inference(rename_variables,[],[125])).
% 1.41/1.49  cnf(595,plain,
% 1.41/1.49     (P1(x5951,x5951,x5952)),
% 1.41/1.49     inference(rename_variables,[],[41])).
% 1.41/1.49  cnf(599,plain,
% 1.41/1.49     (~P2(a10,a8,x5991,x5991)),
% 1.41/1.49     inference(rename_variables,[],[126])).
% 1.41/1.49  cnf(600,plain,
% 1.41/1.49     (P2(x6001,x6002,x6001,x6002)),
% 1.41/1.49     inference(rename_variables,[],[43])).
% 1.41/1.49  cnf(610,plain,
% 1.41/1.49     (E(x6101,f4(x6102,x6101,x6103,x6103))),
% 1.41/1.49     inference(rename_variables,[],[125])).
% 1.41/1.49  cnf(612,plain,
% 1.41/1.49     (E(x6121,f4(x6122,x6121,x6123,x6123))),
% 1.41/1.49     inference(rename_variables,[],[125])).
% 1.41/1.49  cnf(615,plain,
% 1.41/1.49     (P2(x6151,x6151,x6152,x6152)),
% 1.41/1.49     inference(rename_variables,[],[44])).
% 1.41/1.49  cnf(617,plain,
% 1.41/1.49     (P2(x6171,x6171,x6172,x6172)),
% 1.41/1.49     inference(rename_variables,[],[44])).
% 1.41/1.49  cnf(625,plain,
% 1.41/1.49     (~P2(a10,a8,x6251,x6251)),
% 1.41/1.49     inference(rename_variables,[],[126])).
% 1.41/1.49  cnf(627,plain,
% 1.41/1.49     (P1(f4(x6271,x6272,x6273,x6274),x6272,x6271)),
% 1.41/1.49     inference(rename_variables,[],[334])).
% 1.41/1.49  cnf(640,plain,
% 1.41/1.49     (~P2(x6401,f4(x6401,x6402,a10,a8),x6401,x6402)),
% 1.41/1.49     inference(scs_inference,[],[39,125,588,592,594,610,612,44,509,560,615,617,43,561,579,600,41,513,559,580,585,595,45,52,55,581,57,48,502,518,533,540,549,552,63,530,53,40,556,61,126,599,625,59,60,302,285,405,512,413,382,346,349,332,334,529,627,425,343,546,375,411,130,244,204,237,134,87,68,79,106,70,65,76,100,97,94,88,120,74,67,66,83,64,75,119,121,71,122,90,105,98,99,82,86,123,91,32,80,33,69,108,96,95,38,36,29,30,2,35,34,3,37,31,114,77,113,319])).
% 1.41/1.49  cnf(698,plain,
% 1.41/1.49     ($false),
% 1.41/1.49     inference(scs_inference,[],[39,63,59,640,128,334,77,100,68,66,65]),
% 1.41/1.49     ['proof']).
% 1.41/1.49  % SZS output end Proof
% 1.41/1.49  % Total time :0.770000s
%------------------------------------------------------------------------------