TSTP Solution File: GEO053-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO053-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 22:42:40 EDT 2023
% Result : Unsatisfiable 0.99s 1.08s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GEO053-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Tue Aug 29 19:12:48 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.99/1.06 %-------------------------------------------
% 0.99/1.06 % File :CSE---1.6
% 0.99/1.06 % Problem :theBenchmark
% 0.99/1.06 % Transform :cnf
% 0.99/1.06 % Format :tptp:raw
% 0.99/1.06 % Command :java -jar mcs_scs.jar %d %s
% 0.99/1.06
% 0.99/1.06 % Result :Theorem 0.420000s
% 0.99/1.06 % Output :CNFRefutation 0.420000s
% 0.99/1.06 %-------------------------------------------
% 0.99/1.06 %--------------------------------------------------------------------------
% 0.99/1.06 % File : GEO053-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.99/1.06 % Domain : Geometry
% 0.99/1.06 % Problem : Unique endpoint
% 0.99/1.06 % Version : [Qua89] axioms : Augmented.
% 0.99/1.06 % English :
% 0.99/1.06
% 0.99/1.06 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.99/1.06 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.99/1.06 % Source : [Qua89]
% 0.99/1.06 % Names : B15 [Qua89]
% 0.99/1.06
% 0.99/1.06 % Status : Unsatisfiable
% 0.99/1.06 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.08 v7.1.0, 0.00 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.18 v4.0.0, 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, 0.18 v2.4.0, 0.12 v2.2.1, 0.14 v2.2.0, 0.00 v2.1.0, 0.25 v2.0.0
% 0.99/1.06 % Syntax : Number of clauses : 85 ( 28 unt; 20 nHn; 63 RR)
% 0.99/1.06 % Number of literals : 233 ( 47 equ; 131 neg)
% 0.99/1.06 % Maximal clause size : 8 ( 2 avg)
% 0.99/1.06 % Maximal term depth : 3 ( 1 avg)
% 0.99/1.06 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.99/1.06 % Number of functors : 13 ( 13 usr; 6 con; 0-6 aty)
% 0.99/1.06 % Number of variables : 302 ( 14 sgn)
% 0.99/1.06 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.99/1.06
% 0.99/1.06 % Comments :
% 0.99/1.06 % Bugfixes : v1.2.1 - Clause d12 fixed.
% 0.99/1.06 %--------------------------------------------------------------------------
% 0.99/1.06 %----Include Tarski geometry axioms
% 0.99/1.06 include('Axioms/GEO002-0.ax').
% 0.99/1.06 %----Include definition of reflection
% 0.99/1.06 include('Axioms/GEO002-2.ax').
% 0.99/1.07 %----Include definition of insertion
% 0.99/1.07 include('Axioms/GEO002-3.ax').
% 0.99/1.07 %--------------------------------------------------------------------------
% 0.99/1.07 cnf(d1,axiom,
% 0.99/1.07 equidistant(U,V,U,V) ).
% 0.99/1.07
% 0.99/1.07 cnf(d2,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | equidistant(W,X,U,V) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d3,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | equidistant(V,U,W,X) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d4_1,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | equidistant(U,V,X,W) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d4_2,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | equidistant(V,U,X,W) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d4_3,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | equidistant(W,X,V,U) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d4_4,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | equidistant(X,W,U,V) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d4_5,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | equidistant(X,W,V,U) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d5,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,W,X)
% 0.99/1.07 | ~ equidistant(W,X,Y,Z)
% 0.99/1.07 | equidistant(U,V,Y,Z) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(e1,axiom,
% 0.99/1.07 V = extension(U,V,W,W) ).
% 0.99/1.07
% 0.99/1.07 cnf(b0,axiom,
% 0.99/1.07 ( Y != extension(U,V,W,X)
% 0.99/1.07 | between(U,V,Y) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(r2_1,axiom,
% 0.99/1.07 between(U,V,reflection(U,V)) ).
% 0.99/1.07
% 0.99/1.07 cnf(r2_2,axiom,
% 0.99/1.07 equidistant(V,reflection(U,V),U,V) ).
% 0.99/1.07
% 0.99/1.07 cnf(r3_1,axiom,
% 0.99/1.07 ( U != V
% 0.99/1.07 | V = reflection(U,V) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(r3_2,axiom,
% 0.99/1.07 U = reflection(U,U) ).
% 0.99/1.07
% 0.99/1.07 cnf(r4,axiom,
% 0.99/1.07 ( V != reflection(U,V)
% 0.99/1.07 | U = V ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d7,axiom,
% 0.99/1.07 equidistant(U,U,V,V) ).
% 0.99/1.07
% 0.99/1.07 cnf(d8,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,U1,V1)
% 0.99/1.07 | ~ equidistant(V,W,V1,W1)
% 0.99/1.07 | ~ between(U,V,W)
% 0.99/1.07 | ~ between(U1,V1,W1)
% 0.99/1.07 | equidistant(U,W,U1,W1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d9,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U,V,X)
% 0.99/1.07 | ~ equidistant(V,W,V,X)
% 0.99/1.07 | U = V
% 0.99/1.07 | W = X ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d10_1,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | U = V
% 0.99/1.07 | W = extension(U,V,V,W) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d10_2,axiom,
% 0.99/1.07 ( ~ equidistant(W,X,Y,Z)
% 0.99/1.07 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.99/1.07 | U = V ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d10_3,axiom,
% 0.99/1.07 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.99/1.07 | U = V ) ).
% 0.99/1.07
% 0.99/1.07 cnf(r5,axiom,
% 0.99/1.07 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.99/1.07
% 0.99/1.07 cnf(r6,axiom,
% 0.99/1.07 U = reflection(reflection(U,V),V) ).
% 0.99/1.07
% 0.99/1.07 cnf(t3,axiom,
% 0.99/1.07 between(U,V,V) ).
% 0.99/1.07
% 0.99/1.07 cnf(b1,axiom,
% 0.99/1.07 ( ~ between(U,W,X)
% 0.99/1.07 | U != X
% 0.99/1.07 | between(V,W,X) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(t1,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | between(W,V,U) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(t2,axiom,
% 0.99/1.07 between(U,U,V) ).
% 0.99/1.07
% 0.99/1.07 cnf(b2,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(V,U,W)
% 0.99/1.07 | U = V ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b3,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U,W,V)
% 0.99/1.07 | V = W ) ).
% 0.99/1.07
% 0.99/1.07 cnf(t6_1,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(V,U,W)
% 0.99/1.07 | U = V
% 0.99/1.07 | V = W ) ).
% 0.99/1.07
% 0.99/1.07 cnf(t6_2,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U,W,V)
% 0.99/1.07 | U = V
% 0.99/1.07 | V = W ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b4,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(V,W,X)
% 0.99/1.07 | between(U,V,W) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b5,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U,W,X)
% 0.99/1.07 | between(V,W,X) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b6,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(V,W,X)
% 0.99/1.07 | between(U,W,X)
% 0.99/1.07 | V = W ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b7,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(V,W,X)
% 0.99/1.07 | between(U,V,X)
% 0.99/1.07 | V = W ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b8,axiom,
% 0.99/1.07 ( ~ between(U,V,X)
% 0.99/1.07 | ~ between(V,W,X)
% 0.99/1.07 | between(U,W,X) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b9,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U,W,X)
% 0.99/1.07 | between(U,V,X) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(e2_1,axiom,
% 0.99/1.07 lower_dimension_point_1 != lower_dimension_point_2 ).
% 0.99/1.07
% 0.99/1.07 cnf(e2_2,axiom,
% 0.99/1.07 lower_dimension_point_2 != lower_dimension_point_3 ).
% 0.99/1.07
% 0.99/1.07 cnf(e2_3,axiom,
% 0.99/1.07 lower_dimension_point_1 != lower_dimension_point_3 ).
% 0.99/1.07
% 0.99/1.07 cnf(e3_1,axiom,
% 0.99/1.07 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 0.99/1.07
% 0.99/1.07 cnf(e3_2,axiom,
% 0.99/1.07 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)) ).
% 0.99/1.07
% 0.99/1.07 cnf(e3_3,axiom,
% 0.99/1.07 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 0.99/1.07
% 0.99/1.07 cnf(b10,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U1,V1,W)
% 0.99/1.07 | ~ between(U,X,U1)
% 0.99/1.07 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 0.99/1.07 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d11,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ equidistant(U,W,U,W1)
% 0.99/1.07 | ~ equidistant(V,W,V,W1)
% 0.99/1.07 | U = V
% 0.99/1.07 | W = W1 ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d12,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,U1,V1)
% 0.99/1.07 | ~ equidistant(U,W,U1,W1)
% 0.99/1.07 | ~ equidistant(U,X,U1,X1)
% 0.99/1.07 | ~ equidistant(W,X,W1,X1)
% 0.99/1.07 | ~ between(U,V,W)
% 0.99/1.07 | ~ between(U1,V1,W1)
% 0.99/1.07 | equidistant(V,X,V1,X1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d13,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U1,V1,W1)
% 0.99/1.07 | ~ equidistant(U,V,U1,V1)
% 0.99/1.07 | ~ equidistant(U,W,U1,W1)
% 0.99/1.07 | equidistant(V,W,V1,W1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d14,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,U1,V1)
% 0.99/1.07 | ~ equidistant(V,W,V1,W1)
% 0.99/1.07 | ~ equidistant(U,X,U1,X1)
% 0.99/1.07 | ~ equidistant(W,X,W1,X1)
% 0.99/1.07 | ~ between(U,V,W)
% 0.99/1.07 | ~ between(U1,V1,W1)
% 0.99/1.07 | equidistant(V,X,V1,X1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(d15,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ equidistant(U,V,U,X)
% 0.99/1.07 | ~ equidistant(W,V,W,X)
% 0.99/1.07 | V = X ) ).
% 0.99/1.07
% 0.99/1.07 cnf(i2_1,axiom,
% 0.99/1.07 equidistant(U,V,U1,insertion(U1,W1,U,V)) ).
% 0.99/1.07
% 0.99/1.07 cnf(i2_2,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ equidistant(U,W,U1,W1)
% 0.99/1.07 | between(U1,insertion(U1,W1,U,V),W1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(i2_3,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ equidistant(U,W,U1,W1)
% 0.99/1.07 | equidistant(V,W,insertion(U1,W1,U,V),W1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(i3,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | V = insertion(U,W,U,V) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(i4,axiom,
% 0.99/1.07 ( ~ equidistant(W,X,Y,Z)
% 0.99/1.07 | insertion(U,V,W,X) = insertion(U,V,Y,Z) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b11,axiom,
% 0.99/1.07 ( ~ equidistant(U,V,U1,V1)
% 0.99/1.07 | ~ equidistant(V,W,V1,W1)
% 0.99/1.07 | ~ equidistant(U,W,U1,W1)
% 0.99/1.07 | ~ between(U,V,W)
% 0.99/1.07 | between(U1,V1,W1) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b12,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U,V,X)
% 0.99/1.07 | U = V
% 0.99/1.07 | between(U,W,X)
% 0.99/1.07 | between(U,X,W) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b13,axiom,
% 0.99/1.07 ( ~ between(U,V,W)
% 0.99/1.07 | ~ between(U,V,X)
% 0.99/1.07 | U = V
% 0.99/1.07 | between(V,W,X)
% 0.99/1.07 | between(V,X,W) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(t7,axiom,
% 0.99/1.07 ( ~ between(U,W,X)
% 0.99/1.07 | ~ between(V,W,X)
% 0.99/1.07 | W = X
% 0.99/1.07 | between(U,V,W)
% 0.99/1.07 | between(V,U,W) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(t9,axiom,
% 0.99/1.07 ( ~ between(U,V,X)
% 0.99/1.07 | ~ between(U,W,X)
% 0.99/1.07 | between(U,V,W)
% 0.99/1.07 | between(U,W,V) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(b14,axiom,
% 0.99/1.07 ( ~ between(U,V,X)
% 0.99/1.07 | ~ between(U,W,X)
% 0.99/1.07 | between(V,W,X)
% 0.99/1.07 | between(W,V,X) ) ).
% 0.99/1.07
% 0.99/1.07 cnf(t8,axiom,
% 0.99/1.08 ( ~ between(U,V,Y)
% 0.99/1.08 | ~ between(V,W,X)
% 0.99/1.08 | ~ between(U,X,Y)
% 0.99/1.08 | between(U,W,Y) ) ).
% 0.99/1.08
% 0.99/1.08 cnf(v_between_u_and_w,hypothesis,
% 0.99/1.08 between(u,v,w) ).
% 0.99/1.08
% 0.99/1.08 cnf(u_to_v_equals_u_to_w,hypothesis,
% 0.99/1.08 equidistant(u,v,u,w) ).
% 0.99/1.08
% 0.99/1.08 cnf(prove_v_equals_w,negated_conjecture,
% 0.99/1.08 v != w ).
% 0.99/1.08
% 0.99/1.08 %--------------------------------------------------------------------------
% 0.99/1.08 %-------------------------------------------
% 0.99/1.08 % Proof found
% 0.99/1.08 % SZS status Theorem for theBenchmark
% 0.99/1.08 % SZS output start Proof
% 0.99/1.08 %ClaNum:117(EqnAxiom:35)
% 0.99/1.08 %VarNum:783(SingletonVarNum:279)
% 0.99/1.08 %MaxLitNum:8
% 0.99/1.08 %MaxfuncDepth:2
% 0.99/1.08 %SharedTerms:15
% 0.99/1.08 %goalClause: 57
% 0.99/1.08 %singleGoalClaCount:1
% 0.99/1.08 [36]P1(a1,a10,a11)
% 0.99/1.08 [39]P2(a1,a10,a1,a11)
% 0.99/1.08 [54]~E(a8,a6)
% 0.99/1.08 [55]~E(a9,a6)
% 0.99/1.08 [56]~E(a9,a8)
% 0.99/1.08 [57]~E(a11,a10)
% 0.99/1.08 [58]~P1(a6,a8,a9)
% 0.99/1.08 [59]~P1(a8,a9,a6)
% 0.99/1.08 [60]~P1(a9,a6,a8)
% 0.99/1.08 [37]P1(x371,x372,x372)
% 0.99/1.08 [38]P1(x381,x381,x382)
% 0.99/1.08 [40]P2(x401,x402,x402,x401)
% 0.99/1.08 [41]P2(x411,x412,x411,x412)
% 0.99/1.08 [42]P2(x421,x421,x422,x422)
% 0.99/1.08 [61]~E(f2(x611,x612,a6,a8),x612)
% 0.99/1.08 [51]E(f2(f2(x511,x512,x511,x512),x512,f2(x511,x512,x511,x512),x512),x511)
% 0.99/1.08 [53]P2(x531,x532,x531,f2(f2(x532,x531,x532,x531),x531,f2(x532,x531,x532,x531),x531))
% 0.99/1.08 [43]E(f2(x431,x432,x433,x433),x432)
% 0.99/1.08 [46]P1(x461,x462,f2(x461,x462,x463,x464))
% 0.99/1.08 [48]P2(x481,f2(x482,x481,x483,x484),x483,x484)
% 0.99/1.08 [50]P2(x501,f2(x502,x501,a6,a8),x503,f2(x504,x503,a6,a8))
% 0.99/1.08 [52]P2(x521,x522,x523,f2(f2(x524,x523,a6,a8),x523,x521,x522))
% 0.99/1.08 [62]~P1(x621,x622,x621)+E(x621,x622)
% 0.99/1.08 [74]~E(x741,x742)+E(f2(x741,x742,x741,x742),x742)
% 0.99/1.08 [83]E(x831,x832)+~E(f2(x832,x831,x832,x831),x831)
% 0.99/1.08 [85]E(x851,x852)+E(f2(x851,x852,x851,x852),f2(x851,x852,x852,x851))
% 0.99/1.08 [63]~P1(x633,x632,x631)+P1(x631,x632,x633)
% 0.99/1.08 [82]~P2(x821,x822,x823,x823)+E(x821,x822)
% 0.99/1.08 [94]~P1(x942,x943,x941)+E(f2(f2(x941,x942,a6,a8),x942,x942,x943),x943)
% 0.99/1.08 [87]~P2(x874,x873,x872,x871)+P2(x871,x872,x873,x874)
% 0.99/1.08 [88]~P2(x883,x884,x882,x881)+P2(x881,x882,x883,x884)
% 0.99/1.08 [89]~P2(x894,x893,x891,x892)+P2(x891,x892,x893,x894)
% 0.99/1.08 [90]~P2(x903,x904,x901,x902)+P2(x901,x902,x903,x904)
% 0.99/1.08 [91]~P2(x912,x911,x914,x913)+P2(x911,x912,x913,x914)
% 0.99/1.08 [92]~P2(x922,x921,x923,x924)+P2(x921,x922,x923,x924)
% 0.99/1.08 [93]~P2(x931,x932,x934,x933)+P2(x931,x932,x933,x934)
% 0.99/1.08 [84]P1(x841,x842,x843)+~E(x843,f2(x841,x842,x844,x845))
% 0.99/1.08 [104]~P2(x1043,x1044,x1045,x1046)+E(f2(f2(x1041,x1042,a6,a8),x1042,x1043,x1044),f2(f2(x1041,x1042,a6,a8),x1042,x1045,x1046))
% 0.99/1.08 [65]~P1(x653,x651,x652)+E(x651,x652)+~P1(x653,x652,x651)
% 0.99/1.08 [66]~P1(x661,x662,x663)+E(x661,x662)+~P1(x662,x661,x663)
% 0.99/1.08 [81]~P1(x811,x812,x813)+E(x811,x812)+E(f2(x811,x812,x812,x813),x813)
% 0.99/1.08 [64]~P1(x644,x642,x643)+P1(x641,x642,x643)+~E(x644,x643)
% 0.99/1.08 [69]~P1(x694,x691,x692)+P1(x691,x692,x693)+~P1(x694,x692,x693)
% 0.99/1.08 [70]~P1(x701,x704,x703)+P1(x701,x702,x703)+~P1(x704,x702,x703)
% 0.99/1.08 [71]~P1(x711,x712,x714)+P1(x711,x712,x713)+~P1(x711,x714,x713)
% 0.99/1.08 [110]~P1(x1105,x1101,x1104)+~P1(x1102,x1103,x1104)+P1(x1101,f7(x1102,x1103,x1104,x1101,x1105),x1102)
% 0.99/1.08 [111]~P1(x1115,x1114,x1113)+~P1(x1112,x1111,x1113)+P1(x1111,f7(x1112,x1111,x1113,x1114,x1115),x1115)
% 0.99/1.08 [108]~P2(x1083,x1085,x1081,x1082)+~P1(x1083,x1084,x1085)+P1(x1081,f2(f2(x1082,x1081,a6,a8),x1081,x1083,x1084),x1082)
% 0.99/1.08 [109]~P1(x1095,x1091,x1092)+~P2(x1095,x1092,x1094,x1093)+P2(x1091,x1092,f2(f2(x1093,x1094,a6,a8),x1094,x1095,x1091),x1093)
% 0.99/1.08 [98]~P2(x985,x986,x981,x982)+P2(x981,x982,x983,x984)+~P2(x985,x986,x983,x984)
% 0.99/1.08 [99]~P2(x991,x992,x995,x996)+P2(x991,x992,x993,x994)+~P2(x995,x996,x993,x994)
% 0.99/1.08 [97]~P2(x973,x974,x975,x976)+E(x971,x972)+E(f2(x971,x972,x973,x974),f2(x971,x972,x975,x976))
% 0.99/1.08 [72]~P1(x721,x722,x724)+~P1(x723,x721,x722)+E(x721,x722)+P1(x723,x722,x724)
% 0.99/1.08 [73]~P1(x731,x732,x734)+~P1(x733,x731,x732)+E(x731,x732)+P1(x733,x731,x734)
% 0.99/1.08 [75]P1(x752,x751,x753)+~P1(x754,x752,x753)+P1(x751,x752,x753)+~P1(x754,x751,x753)
% 0.99/1.08 [76]P1(x761,x763,x762)+~P1(x761,x763,x764)+P1(x761,x762,x763)+~P1(x761,x762,x764)
% 0.99/1.08 [95]~P2(x954,x951,x954,x952)+~P2(x953,x951,x953,x952)+E(x951,x952)+~P1(x953,x951,x954)
% 0.99/1.08 [80]~P1(x801,x805,x803)+~P1(x801,x804,x803)+P1(x801,x802,x803)+~P1(x804,x802,x805)
% 0.99/1.08 [112]~P1(x1124,x1122,x1123)+~P1(x1121,x1122,x1125)+E(x1121,x1122)+P1(x1121,x1123,f3(x1121,x1124,x1122,x1123,x1125))
% 0.99/1.08 [113]~P1(x1133,x1132,x1134)+~P1(x1131,x1132,x1135)+E(x1131,x1132)+P1(x1131,x1133,f4(x1131,x1133,x1132,x1134,x1135))
% 0.99/1.08 [114]~P1(x1143,x1142,x1144)+~P1(x1141,x1142,x1145)+E(x1141,x1142)+P1(f4(x1141,x1143,x1142,x1144,x1145),x1145,f3(x1141,x1143,x1142,x1144,x1145))
% 0.99/1.08 [77]P1(x774,x773,x771)+~P1(x773,x771,x772)+~P1(x774,x771,x772)+E(x771,x772)+P1(x773,x774,x771)
% 0.99/1.08 [78]P1(x782,x784,x783)+~P1(x781,x782,x783)+~P1(x781,x782,x784)+E(x781,x782)+P1(x782,x783,x784)
% 0.99/1.08 [79]P1(x791,x794,x793)+~P1(x791,x792,x793)+~P1(x791,x792,x794)+E(x791,x792)+P1(x791,x793,x794)
% 0.99/1.08 [86]~P1(x863,x864,x862)+~P1(x863,x864,x861)+~P2(x864,x861,x864,x862)+E(x861,x862)+E(x863,x864)
% 0.99/1.08 [96]~P1(x963,x964,x961)+~P2(x964,x961,x964,x962)+~P2(x963,x961,x963,x962)+E(x961,x962)+E(x963,x964)
% 0.99/1.08 [100]~P2(x1006,x1002,x1005,x1004)+~P2(x1006,x1001,x1005,x1003)+P2(x1001,x1002,x1003,x1004)+~P1(x1005,x1003,x1004)+~P1(x1006,x1001,x1002)
% 0.99/1.08 [101]~P2(x1016,x1012,x1015,x1014)+~P2(x1011,x1016,x1013,x1015)+P2(x1011,x1012,x1013,x1014)+~P1(x1013,x1015,x1014)+~P1(x1011,x1016,x1012)
% 0.99/1.08 [102]~P2(x1025,x1026,x1022,x1023)+~P2(x1024,x1026,x1021,x1023)+~P2(x1024,x1025,x1021,x1022)+P1(x1021,x1022,x1023)+~P1(x1024,x1025,x1026)
% 0.99/1.08 [115]~P1(x1153,x1154,x1155)+~P1(x1152,x1153,x1155)+~P2(x1152,x1155,x1152,x1156)+~P2(x1152,x1153,x1152,x1151)+P1(x1151,f5(x1152,x1153,x1151,x1154,x1155,x1156),x1156)
% 0.99/1.08 [116]~P1(x1163,x1162,x1165)+~P1(x1161,x1163,x1165)+~P2(x1161,x1165,x1161,x1166)+~P2(x1161,x1163,x1161,x1164)+P2(x1161,x1162,x1161,f5(x1161,x1163,x1164,x1162,x1165,x1166))
% 0.99/1.08 [117]~P1(x1174,x1172,x1175)+~P1(x1173,x1171,x1174)+~P1(x1173,x1176,x1175)+P1(x1171,f7(x1172,f7(x1173,x1171,x1174,x1172,x1175),x1173,x1176,x1175),x1175)+P1(x1176,f7(x1172,f7(x1173,x1171,x1174,x1172,x1175),x1173,x1176,x1175),x1172)
% 0.99/1.08 [103]P1(x1035,x1033,x1034)+P1(x1034,x1035,x1033)+~P2(x1033,x1031,x1033,x1032)+~P2(x1035,x1031,x1035,x1032)+~P2(x1034,x1031,x1034,x1032)+E(x1031,x1032)+P1(x1033,x1034,x1035)
% 0.99/1.08 [105]~P2(x1058,x1052,x1056,x1054)+~P2(x1051,x1058,x1053,x1056)+~P2(x1057,x1052,x1055,x1054)+~P2(x1057,x1051,x1055,x1053)+P2(x1051,x1052,x1053,x1054)+~P1(x1055,x1053,x1056)+~P1(x1057,x1051,x1058)
% 0.99/1.08 [106]~P2(x1068,x1062,x1066,x1064)+~P2(x1067,x1062,x1065,x1064)+~P2(x1067,x1068,x1065,x1066)+~P2(x1067,x1061,x1065,x1063)+P2(x1061,x1062,x1063,x1064)+~P1(x1065,x1063,x1066)+~P1(x1067,x1061,x1068)
% 0.99/1.08 [107]~P1(x1071,x1072,x1073)+~P2(x1072,x1074,x1078,x1076)+~P2(x1072,x1073,x1078,x1075)+~P2(x1071,x1074,x1077,x1076)+~P2(x1071,x1072,x1077,x1078)+E(x1071,x1072)+P2(x1073,x1074,x1075,x1076)+~P1(x1077,x1078,x1075)
% 0.99/1.08 %EqnAxiom
% 0.99/1.08 [1]E(x11,x11)
% 0.99/1.08 [2]E(x22,x21)+~E(x21,x22)
% 0.99/1.08 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.99/1.08 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.99/1.08 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.99/1.08 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.99/1.08 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.99/1.08 [8]~E(x81,x82)+E(f7(x81,x83,x84,x85,x86),f7(x82,x83,x84,x85,x86))
% 0.99/1.08 [9]~E(x91,x92)+E(f7(x93,x91,x94,x95,x96),f7(x93,x92,x94,x95,x96))
% 0.99/1.08 [10]~E(x101,x102)+E(f7(x103,x104,x101,x105,x106),f7(x103,x104,x102,x105,x106))
% 0.99/1.08 [11]~E(x111,x112)+E(f7(x113,x114,x115,x111,x116),f7(x113,x114,x115,x112,x116))
% 0.99/1.08 [12]~E(x121,x122)+E(f7(x123,x124,x125,x126,x121),f7(x123,x124,x125,x126,x122))
% 0.99/1.08 [13]~E(x131,x132)+E(f3(x131,x133,x134,x135,x136),f3(x132,x133,x134,x135,x136))
% 0.99/1.08 [14]~E(x141,x142)+E(f3(x143,x141,x144,x145,x146),f3(x143,x142,x144,x145,x146))
% 0.99/1.08 [15]~E(x151,x152)+E(f3(x153,x154,x151,x155,x156),f3(x153,x154,x152,x155,x156))
% 0.99/1.08 [16]~E(x161,x162)+E(f3(x163,x164,x165,x161,x166),f3(x163,x164,x165,x162,x166))
% 0.99/1.08 [17]~E(x171,x172)+E(f3(x173,x174,x175,x176,x171),f3(x173,x174,x175,x176,x172))
% 0.99/1.08 [18]~E(x181,x182)+E(f4(x181,x183,x184,x185,x186),f4(x182,x183,x184,x185,x186))
% 0.99/1.08 [19]~E(x191,x192)+E(f4(x193,x191,x194,x195,x196),f4(x193,x192,x194,x195,x196))
% 0.99/1.08 [20]~E(x201,x202)+E(f4(x203,x204,x201,x205,x206),f4(x203,x204,x202,x205,x206))
% 0.99/1.08 [21]~E(x211,x212)+E(f4(x213,x214,x215,x211,x216),f4(x213,x214,x215,x212,x216))
% 0.99/1.08 [22]~E(x221,x222)+E(f4(x223,x224,x225,x226,x221),f4(x223,x224,x225,x226,x222))
% 0.99/1.08 [23]~E(x231,x232)+E(f5(x231,x233,x234,x235,x236,x237),f5(x232,x233,x234,x235,x236,x237))
% 0.99/1.08 [24]~E(x241,x242)+E(f5(x243,x241,x244,x245,x246,x247),f5(x243,x242,x244,x245,x246,x247))
% 0.99/1.08 [25]~E(x251,x252)+E(f5(x253,x254,x251,x255,x256,x257),f5(x253,x254,x252,x255,x256,x257))
% 0.99/1.08 [26]~E(x261,x262)+E(f5(x263,x264,x265,x261,x266,x267),f5(x263,x264,x265,x262,x266,x267))
% 0.99/1.08 [27]~E(x271,x272)+E(f5(x273,x274,x275,x276,x271,x277),f5(x273,x274,x275,x276,x272,x277))
% 0.99/1.08 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x287,x281),f5(x283,x284,x285,x286,x287,x282))
% 0.99/1.08 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.99/1.08 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.99/1.08 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.99/1.08 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.99/1.08 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.99/1.08 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.99/1.08 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.99/1.08
% 0.99/1.08 %-------------------------------------------
% 0.99/1.08 cnf(118,plain,
% 0.99/1.08 (E(x1181,f2(x1182,x1181,x1183,x1183))),
% 0.99/1.08 inference(scs_inference,[],[43,2])).
% 0.99/1.08 cnf(119,plain,
% 0.99/1.08 (~P2(a11,a10,x1191,x1191)),
% 0.99/1.08 inference(scs_inference,[],[57,43,2,82])).
% 0.99/1.08 cnf(121,plain,
% 0.99/1.08 (~P1(a9,a8,a6)),
% 0.99/1.08 inference(scs_inference,[],[57,58,43,2,82,63])).
% 0.99/1.08 cnf(125,plain,
% 0.99/1.08 (P1(x1251,x1252,f2(x1253,f2(x1251,x1252,x1254,x1255),x1256,x1256))),
% 0.99/1.08 inference(scs_inference,[],[57,58,43,2,82,63,62,84])).
% 0.99/1.08 cnf(126,plain,
% 0.99/1.08 (E(f2(x1261,x1262,x1263,x1263),x1262)),
% 0.99/1.08 inference(rename_variables,[],[43])).
% 0.99/1.08 cnf(129,plain,
% 0.99/1.08 (~E(f2(x1291,x1292,a6,a8),x1292)),
% 0.99/1.08 inference(rename_variables,[],[61])).
% 0.99/1.08 cnf(131,plain,
% 0.99/1.08 (~E(a10,a11)),
% 0.99/1.08 inference(scs_inference,[],[57,41,58,43,61,2,82,63,62,84,74,35])).
% 0.99/1.08 cnf(132,plain,
% 0.99/1.08 (P2(x1321,x1322,x1321,x1322)),
% 0.99/1.08 inference(rename_variables,[],[41])).
% 0.99/1.08 cnf(133,plain,
% 0.99/1.08 (P2(f2(x1331,x1332,x1333,x1333),x1334,x1332,x1334)),
% 0.99/1.08 inference(scs_inference,[],[57,41,132,58,43,126,61,2,82,63,62,84,74,35,34])).
% 0.99/1.08 cnf(134,plain,
% 0.99/1.08 (P2(x1341,x1342,x1341,x1342)),
% 0.99/1.08 inference(rename_variables,[],[41])).
% 0.99/1.08 cnf(136,plain,
% 0.99/1.08 (P2(x1361,f2(x1362,x1361,x1363,x1364),x1363,x1364)),
% 0.99/1.08 inference(rename_variables,[],[48])).
% 0.99/1.08 cnf(138,plain,
% 0.99/1.08 (P2(x1381,x1382,x1382,x1381)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(140,plain,
% 0.99/1.08 (P1(x1401,x1402,x1402)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(141,plain,
% 0.99/1.08 (P1(x1411,x1412,f2(x1411,f2(x1413,x1412,x1414,x1414),x1415,x1416))),
% 0.99/1.08 inference(scs_inference,[],[57,40,41,132,37,58,48,46,43,126,61,2,82,63,62,84,74,35,34,33,32,31,30])).
% 0.99/1.08 cnf(142,plain,
% 0.99/1.08 (P1(x1421,x1422,f2(x1421,x1422,x1423,x1424))),
% 0.99/1.08 inference(rename_variables,[],[46])).
% 0.99/1.08 cnf(145,plain,
% 0.99/1.08 (E(f2(x1451,x1452,x1453,x1453),x1452)),
% 0.99/1.08 inference(rename_variables,[],[43])).
% 0.99/1.08 cnf(147,plain,
% 0.99/1.08 (P2(x1471,x1472,x1472,x1471)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(151,plain,
% 0.99/1.08 (P2(x1511,x1512,x1512,x1511)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(154,plain,
% 0.99/1.08 (P1(x1541,x1542,x1542)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(157,plain,
% 0.99/1.08 (P1(x1571,x1571,x1572)),
% 0.99/1.08 inference(rename_variables,[],[38])).
% 0.99/1.08 cnf(160,plain,
% 0.99/1.08 (P1(x1601,x1602,x1602)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(163,plain,
% 0.99/1.08 (P1(x1631,x1632,x1632)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(164,plain,
% 0.99/1.08 (P1(x1641,x1641,x1642)),
% 0.99/1.08 inference(rename_variables,[],[38])).
% 0.99/1.08 cnf(165,plain,
% 0.99/1.08 (P2(x1651,x1652,x1652,x1651)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(168,plain,
% 0.99/1.08 (P1(x1681,x1682,x1682)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(174,plain,
% 0.99/1.08 (P2(f2(x1741,x1742,a6,a8),x1742,x1743,f2(x1744,x1743,a6,a8))),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,41,132,134,42,37,140,154,160,163,38,157,36,39,54,58,48,136,46,43,126,61,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92])).
% 0.99/1.08 cnf(180,plain,
% 0.99/1.08 (P2(a1,a11,a10,a1)),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,41,132,134,42,37,140,154,160,163,38,157,36,39,54,58,48,136,46,43,126,61,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92,91,90,89])).
% 0.99/1.08 cnf(220,plain,
% 0.99/1.08 (P1(x2201,x2202,f2(x2201,x2202,x2203,x2204))),
% 0.99/1.08 inference(rename_variables,[],[46])).
% 0.99/1.08 cnf(223,plain,
% 0.99/1.08 (P1(x2231,x2232,x2232)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(226,plain,
% 0.99/1.08 (P1(x2261,x2262,f2(x2261,x2262,x2263,x2264))),
% 0.99/1.08 inference(rename_variables,[],[46])).
% 0.99/1.08 cnf(231,plain,
% 0.99/1.08 (P1(x2311,x2311,x2312)),
% 0.99/1.08 inference(rename_variables,[],[38])).
% 0.99/1.08 cnf(233,plain,
% 0.99/1.08 (P2(x2331,x2331,f2(f2(x2332,x2331,a6,a8),x2331,x2332,x2331),x2332)),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,165,41,132,134,42,37,140,154,160,163,168,223,38,157,164,36,39,54,58,48,136,46,142,220,43,126,145,61,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92,91,90,89,88,87,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,83,94,85,71,70,64,111,110,109])).
% 0.99/1.08 cnf(234,plain,
% 0.99/1.08 (P1(x2341,x2342,x2342)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(236,plain,
% 0.99/1.08 (P1(x2361,f2(f2(x2362,x2361,a6,a8),x2361,x2362,x2361),x2362)),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,165,41,132,134,42,37,140,154,160,163,168,223,234,38,157,164,36,39,54,58,48,136,46,142,220,43,126,145,61,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92,91,90,89,88,87,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,83,94,85,71,70,64,111,110,109,108])).
% 0.99/1.08 cnf(237,plain,
% 0.99/1.08 (P2(x2371,x2372,x2372,x2371)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(242,plain,
% 0.99/1.08 (P1(x2421,x2422,x2422)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(245,plain,
% 0.99/1.08 (P1(x2451,x2452,f2(x2451,x2452,x2453,x2454))),
% 0.99/1.08 inference(rename_variables,[],[46])).
% 0.99/1.08 cnf(249,plain,
% 0.99/1.08 (P1(x2491,x2492,x2492)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(253,plain,
% 0.99/1.08 (P1(x2531,x2532,x2532)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(256,plain,
% 0.99/1.08 (P1(x2561,x2562,x2562)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(257,plain,
% 0.99/1.08 (P2(x2571,x2572,x2572,x2571)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(259,plain,
% 0.99/1.08 (~P2(a10,f2(a11,a10,a6,a8),a10,a10)),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,165,237,41,132,134,42,37,140,154,160,163,168,223,234,242,249,253,256,38,157,164,36,39,54,58,48,136,46,142,220,226,245,43,126,145,61,129,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92,91,90,89,88,87,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,83,94,85,71,70,64,111,110,109,108,97,80,76,112,114,102,86])).
% 0.99/1.08 cnf(261,plain,
% 0.99/1.08 (P1(x2611,x2612,x2612)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(264,plain,
% 0.99/1.08 (P2(x2641,x2641,x2641,f5(x2641,x2641,x2641,x2641,x2641,x2641))),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,165,237,257,41,132,134,42,37,140,154,160,163,168,223,234,242,249,253,256,261,38,157,164,36,39,54,58,48,136,46,142,220,226,245,43,126,145,61,129,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92,91,90,89,88,87,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,83,94,85,71,70,64,111,110,109,108,97,80,76,112,114,102,86,116])).
% 0.99/1.08 cnf(267,plain,
% 0.99/1.08 (P1(x2671,x2672,x2672)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(268,plain,
% 0.99/1.08 (P2(x2681,x2682,x2682,x2681)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(270,plain,
% 0.99/1.08 (P1(x2701,f5(x2701,x2701,x2701,x2701,x2701,x2701),x2701)),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,165,237,257,268,41,132,134,42,37,140,154,160,163,168,223,234,242,249,253,256,261,267,38,157,164,36,39,54,58,48,136,46,142,220,226,245,43,126,145,61,129,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92,91,90,89,88,87,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,83,94,85,71,70,64,111,110,109,108,97,80,76,112,114,102,86,116,115])).
% 0.99/1.08 cnf(271,plain,
% 0.99/1.08 (P1(x2711,x2712,x2712)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(273,plain,
% 0.99/1.08 (P1(x2731,x2732,x2732)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(274,plain,
% 0.99/1.08 (P2(x2741,x2742,x2742,x2741)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(277,plain,
% 0.99/1.08 (P1(x2771,x2771,x2772)),
% 0.99/1.08 inference(rename_variables,[],[38])).
% 0.99/1.08 cnf(283,plain,
% 0.99/1.08 (P1(x2831,x2832,x2832)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(289,plain,
% 0.99/1.08 (P1(x2891,f7(x2891,f7(x2891,x2891,x2891,x2891,x2891),x2891,x2891,x2891),x2891)),
% 0.99/1.08 inference(scs_inference,[],[57,40,138,147,151,165,237,257,268,274,41,132,134,42,37,140,154,160,163,168,223,234,242,249,253,256,261,267,273,283,271,38,157,164,231,277,36,39,54,58,60,48,136,46,142,220,226,245,43,126,145,61,129,50,2,82,63,62,84,74,35,34,33,32,31,30,29,3,99,98,66,65,95,100,106,93,92,91,90,89,88,87,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,83,94,85,71,70,64,111,110,109,108,97,80,76,112,114,102,86,116,115,69,81,113,101,117])).
% 0.99/1.08 cnf(303,plain,
% 0.99/1.08 (P1(x3031,f5(x3031,x3031,x3031,x3031,x3031,x3031),x3031)),
% 0.99/1.08 inference(rename_variables,[],[270])).
% 0.99/1.08 cnf(304,plain,
% 0.99/1.08 (P1(x3041,x3042,x3042)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(305,plain,
% 0.99/1.08 (P2(x3051,x3052,x3052,x3051)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(307,plain,
% 0.99/1.08 (P2(x3071,x3071,x3071,f5(x3071,x3071,f2(f2(x3072,x3071,a6,a8),x3071,x3071,x3071),x3071,x3071,x3071))),
% 0.99/1.08 inference(scs_inference,[],[52,40,305,37,304,264,270,100,116])).
% 0.99/1.08 cnf(308,plain,
% 0.99/1.08 (P2(x3081,x3082,x3082,x3081)),
% 0.99/1.08 inference(rename_variables,[],[40])).
% 0.99/1.08 cnf(309,plain,
% 0.99/1.08 (P1(x3091,x3092,x3092)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(310,plain,
% 0.99/1.08 (P2(x3101,x3102,x3103,f2(f2(x3104,x3103,a6,a8),x3103,x3101,x3102))),
% 0.99/1.08 inference(rename_variables,[],[52])).
% 0.99/1.08 cnf(311,plain,
% 0.99/1.08 (P1(x3111,x3112,x3112)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(315,plain,
% 0.99/1.08 (~P1(x3151,f2(x3151,x3152,a6,a8),x3152)),
% 0.99/1.08 inference(scs_inference,[],[52,40,305,37,304,46,61,43,264,270,100,116,74,65])).
% 0.99/1.08 cnf(316,plain,
% 0.99/1.08 (P1(x3161,x3162,f2(x3161,x3162,x3163,x3164))),
% 0.99/1.08 inference(rename_variables,[],[46])).
% 0.99/1.08 cnf(319,plain,
% 0.99/1.08 (P1(x3191,x3192,x3192)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(320,plain,
% 0.99/1.08 (P1(x3201,x3202,x3202)),
% 0.99/1.08 inference(rename_variables,[],[37])).
% 0.99/1.08 cnf(322,plain,
% 0.99/1.08 (~P2(a10,a11,x3221,x3221)),
% 0.99/1.08 inference(scs_inference,[],[57,52,40,305,37,304,311,309,46,61,43,264,270,119,100,116,74,65,114,91])).
% 0.99/1.08 cnf(326,plain,
% 0.99/1.08 (E(f7(x3261,f7(x3261,x3261,x3261,x3261,x3261),x3261,x3261,x3261),x3261)),
% 0.99/1.08 inference(scs_inference,[],[57,52,40,305,37,304,311,320,309,46,61,43,289,264,270,119,100,116,74,65,114,91,87,66])).
% 0.99/1.08 cnf(327,plain,
% 0.99/1.08 (P1(x3271,f7(x3271,f7(x3271,x3271,x3271,x3271,x3271),x3271,x3271,x3271),x3271)),
% 0.99/1.08 inference(rename_variables,[],[289])).
% 0.99/1.08 cnf(328,plain,
% 0.99/1.09 (P1(x3281,x3282,x3282)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(330,plain,
% 0.99/1.09 (P1(x3301,f7(x3302,x3301,x3301,x3301,x3303),x3303)),
% 0.99/1.09 inference(scs_inference,[],[57,52,40,305,37,304,311,320,328,309,319,46,61,43,289,264,270,119,100,116,74,65,114,91,87,66,111])).
% 0.99/1.09 cnf(331,plain,
% 0.99/1.09 (P1(x3311,x3312,x3312)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(338,plain,
% 0.99/1.09 (P1(x3381,x3382,x3382)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(340,plain,
% 0.99/1.09 (~P2(f2(a11,a10,a6,a8),a10,a10,a10)),
% 0.99/1.09 inference(scs_inference,[],[57,52,40,305,37,304,311,320,328,309,319,331,46,61,43,289,264,270,119,259,100,116,74,65,114,91,87,66,111,89,88,110,92])).
% 0.99/1.09 cnf(343,plain,
% 0.99/1.09 (P1(f2(x3431,x3432,x3433,x3434),x3432,x3431)),
% 0.99/1.09 inference(scs_inference,[],[57,52,55,40,305,37,304,311,320,328,309,319,331,46,316,61,43,289,264,270,119,259,100,116,74,65,114,91,87,66,111,89,88,110,92,2,63])).
% 0.99/1.09 cnf(345,plain,
% 0.99/1.09 (P2(x3451,x3451,f2(f2(x3451,x3452,a6,a8),x3452,x3452,x3451),x3451)),
% 0.99/1.09 inference(scs_inference,[],[57,52,55,40,305,41,37,304,311,320,328,309,319,331,46,316,61,43,289,264,270,119,259,100,116,74,65,114,91,87,66,111,89,88,110,92,2,63,109])).
% 0.99/1.09 cnf(346,plain,
% 0.99/1.09 (P2(x3461,x3462,x3461,x3462)),
% 0.99/1.09 inference(rename_variables,[],[41])).
% 0.99/1.09 cnf(352,plain,
% 0.99/1.09 (P2(x3521,x3522,x3523,f2(f2(x3524,x3523,a6,a8),x3523,x3521,x3522))),
% 0.99/1.09 inference(rename_variables,[],[52])).
% 0.99/1.09 cnf(356,plain,
% 0.99/1.09 (P2(x3561,x3562,x3563,f2(f2(x3564,x3563,a6,a8),x3563,x3561,x3562))),
% 0.99/1.09 inference(rename_variables,[],[52])).
% 0.99/1.09 cnf(357,plain,
% 0.99/1.09 (P1(x3571,x3572,f2(x3571,x3572,x3573,x3574))),
% 0.99/1.09 inference(rename_variables,[],[46])).
% 0.99/1.09 cnf(358,plain,
% 0.99/1.09 (P1(x3581,x3581,x3582)),
% 0.99/1.09 inference(rename_variables,[],[38])).
% 0.99/1.09 cnf(363,plain,
% 0.99/1.09 (E(f2(f2(x3631,x3632,x3631,x3632),x3632,f2(x3631,x3632,x3631,x3632),x3632),x3631)),
% 0.99/1.09 inference(rename_variables,[],[51])).
% 0.99/1.09 cnf(365,plain,
% 0.99/1.09 (P2(x3651,x3652,x3653,f2(f2(x3654,x3653,a6,a8),x3653,x3651,x3652))),
% 0.99/1.09 inference(rename_variables,[],[52])).
% 0.99/1.09 cnf(368,plain,
% 0.99/1.09 (P2(x3681,f2(x3682,x3681,x3683,x3684),x3683,x3684)),
% 0.99/1.09 inference(rename_variables,[],[48])).
% 0.99/1.09 cnf(369,plain,
% 0.99/1.09 (P1(x3691,x3692,x3692)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(370,plain,
% 0.99/1.09 (P2(x3701,x3702,x3703,f2(f2(x3704,x3703,a6,a8),x3703,x3701,x3702))),
% 0.99/1.09 inference(rename_variables,[],[52])).
% 0.99/1.09 cnf(371,plain,
% 0.99/1.09 (P1(x3711,x3712,x3712)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(375,plain,
% 0.99/1.09 (~P2(x3751,x3751,x3752,f2(f2(x3753,x3752,a6,a8),x3752,a11,a10))),
% 0.99/1.09 inference(scs_inference,[],[57,52,310,352,356,365,51,55,40,305,41,37,304,311,320,328,309,319,331,338,38,48,46,316,61,50,59,43,289,327,264,270,303,119,259,100,116,74,65,114,91,87,66,111,89,88,110,92,2,63,109,97,95,101,62,31,99,115,93,90])).
% 0.99/1.09 cnf(387,plain,
% 0.99/1.09 (E(f2(f2(x3871,x3872,x3871,x3872),x3872,f2(x3871,x3872,x3871,x3872),x3872),x3871)),
% 0.99/1.09 inference(rename_variables,[],[51])).
% 0.99/1.09 cnf(389,plain,
% 0.99/1.09 (E(f2(f2(x3891,x3892,x3891,x3892),x3892,f2(x3891,x3892,x3891,x3892),x3892),x3891)),
% 0.99/1.09 inference(rename_variables,[],[51])).
% 0.99/1.09 cnf(391,plain,
% 0.99/1.09 (~P2(f2(f2(a11,x3911,a11,x3911),x3911,f2(a11,x3911,a11,x3911),x3911),a10,x3912,x3912)),
% 0.99/1.09 inference(scs_inference,[],[57,52,310,352,356,365,370,53,51,363,387,389,55,40,305,41,37,304,311,320,328,369,309,319,331,338,371,38,48,46,316,61,50,59,43,289,327,264,270,303,119,259,100,116,74,65,114,91,87,66,111,89,88,110,92,2,63,109,97,95,101,62,31,99,115,93,90,84,98,112,29,64,32])).
% 0.99/1.09 cnf(392,plain,
% 0.99/1.09 (E(f2(f2(x3921,x3922,x3921,x3922),x3922,f2(x3921,x3922,x3921,x3922),x3922),x3921)),
% 0.99/1.09 inference(rename_variables,[],[51])).
% 0.99/1.09 cnf(394,plain,
% 0.99/1.09 (~P2(a11,a10,x3941,x3941)),
% 0.99/1.09 inference(rename_variables,[],[119])).
% 0.99/1.09 cnf(398,plain,
% 0.99/1.09 (~P2(a11,a10,x3981,x3981)),
% 0.99/1.09 inference(rename_variables,[],[119])).
% 0.99/1.09 cnf(400,plain,
% 0.99/1.09 (E(f2(f2(x4001,x4002,x4001,x4002),x4002,f2(x4001,x4002,x4001,x4002),x4002),x4001)),
% 0.99/1.09 inference(rename_variables,[],[51])).
% 0.99/1.09 cnf(411,plain,
% 0.99/1.09 (P1(x4111,x4111,x4112)),
% 0.99/1.09 inference(rename_variables,[],[38])).
% 0.99/1.09 cnf(415,plain,
% 0.99/1.09 (P2(x4151,x4152,x4152,x4151)),
% 0.99/1.09 inference(rename_variables,[],[40])).
% 0.99/1.09 cnf(417,plain,
% 0.99/1.09 (P1(x4171,x4171,x4172)),
% 0.99/1.09 inference(rename_variables,[],[38])).
% 0.99/1.09 cnf(421,plain,
% 0.99/1.09 (P1(f2(f2(x4211,x4212,a6,a8),x4212,x4211,x4212),x4211,x4212)),
% 0.99/1.09 inference(scs_inference,[],[57,52,310,352,356,365,370,53,51,363,387,389,392,400,55,40,305,308,415,41,346,37,304,311,320,328,369,309,319,331,338,371,38,358,411,417,48,368,46,316,357,61,50,59,43,289,327,264,270,303,133,118,125,141,233,236,121,119,394,398,259,100,116,74,65,114,91,87,66,111,89,88,110,92,2,63,109,97,95,101,62,31,99,115,93,90,84,98,112,29,64,32,34,3,35,33,30,75,77,71,105,102])).
% 0.99/1.09 cnf(463,plain,
% 0.99/1.09 (P1(x4631,x4632,f2(x4631,x4632,x4633,x4634))),
% 0.99/1.09 inference(rename_variables,[],[46])).
% 0.99/1.09 cnf(466,plain,
% 0.99/1.09 (P1(x4661,x4662,f2(x4661,x4662,x4663,x4664))),
% 0.99/1.09 inference(rename_variables,[],[46])).
% 0.99/1.09 cnf(470,plain,
% 0.99/1.09 (~E(f2(x4701,x4702,a6,a8),x4702)),
% 0.99/1.09 inference(rename_variables,[],[61])).
% 0.99/1.09 cnf(480,plain,
% 0.99/1.09 (P1(x4801,x4802,x4802)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(481,plain,
% 0.99/1.09 (P2(x4811,x4812,x4813,f2(f2(x4814,x4813,a6,a8),x4813,x4811,x4812))),
% 0.99/1.09 inference(rename_variables,[],[52])).
% 0.99/1.09 cnf(485,plain,
% 0.99/1.09 (~P1(x4851,f2(x4851,x4852,a6,a8),x4852)),
% 0.99/1.09 inference(rename_variables,[],[315])).
% 0.99/1.09 cnf(488,plain,
% 0.99/1.09 (P1(x4881,x4882,f2(x4881,x4882,x4883,x4884))),
% 0.99/1.09 inference(rename_variables,[],[46])).
% 0.99/1.09 cnf(490,plain,
% 0.99/1.09 (~P1(f2(x4901,x4902,a6,a8),x4902,f2(x4901,x4902,a6,a8))),
% 0.99/1.09 inference(scs_inference,[],[36,52,53,37,46,463,466,50,61,470,343,345,315,131,72,73,113,91,88,92,102,80,69,62])).
% 0.99/1.09 cnf(493,plain,
% 0.99/1.09 (P1(x4931,f7(x4932,x4931,x4931,x4931,x4933),x4933)),
% 0.99/1.09 inference(rename_variables,[],[330])).
% 0.99/1.09 cnf(503,plain,
% 0.99/1.09 (P1(x5031,x5032,x5032)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(508,plain,
% 0.99/1.09 (P2(x5081,x5081,x5082,x5082)),
% 0.99/1.09 inference(rename_variables,[],[42])).
% 0.99/1.09 cnf(513,plain,
% 0.99/1.09 (P1(x5131,x5132,x5132)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(516,plain,
% 0.99/1.09 (P1(x5161,x5162,x5162)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(521,plain,
% 0.99/1.09 (P1(x5211,x5212,x5212)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(537,plain,
% 0.99/1.09 (~P1(a8,a6,a9)),
% 0.99/1.09 inference(scs_inference,[],[36,56,118,52,481,53,42,508,37,480,503,513,516,521,38,48,46,463,466,488,50,61,470,60,326,330,493,343,345,315,485,174,340,131,72,73,113,91,88,92,102,80,69,62,65,87,70,66,89,98,95,114,93,112,84,99,101,29,63])).
% 0.99/1.09 cnf(634,plain,
% 0.99/1.09 (~E(f2(x6341,x6342,a6,a8),x6342)),
% 0.99/1.09 inference(rename_variables,[],[61])).
% 0.99/1.09 cnf(649,plain,
% 0.99/1.09 (P1(x6491,x6492,x6492)),
% 0.99/1.09 inference(rename_variables,[],[37])).
% 0.99/1.09 cnf(656,plain,
% 0.99/1.09 ($false),
% 0.99/1.09 inference(scs_inference,[],[36,41,40,37,649,38,61,634,58,537,307,421,375,490,391,322,180,125,141,343,77,108,83,73,92,91,65,70,95,74,88,100]),
% 0.99/1.09 ['proof']).
% 0.99/1.09 % SZS output end Proof
% 0.99/1.09 % Total time :0.420000s
%------------------------------------------------------------------------------