%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO064-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:03:36 EDT 2024
% Result : Unsatisfiable 0.54s 0.88s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO064-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 08:02:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.51/0.58 start to proof:theBenchmark
% 0.54/0.86 %-------------------------------------------
% 0.54/0.86 % File :CSE---1.7
% 0.54/0.86 % Problem :theBenchmark
% 0.54/0.86 % Transform :cnf
% 0.54/0.86 % Format :tptp:raw
% 0.54/0.86 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.86
% 0.54/0.86 % Result :Theorem 0.230000s
% 0.54/0.86 % Output :CNFRefutation 0.230000s
% 0.54/0.86 %-------------------------------------------
% 0.54/0.86 %--------------------------------------------------------------------------
% 0.54/0.86 % File : GEO064-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.54/0.86 % Domain : Geometry
% 0.54/0.86 % Problem : Corollary 1 to collinearity
% 0.54/0.86 % Version : [Qua89] axioms : Augmented.
% 0.54/0.86 % English :
% 0.54/0.86
% 0.54/0.86 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.54/0.86 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.54/0.86 % Source : [Qua89]
% 0.54/0.86 % Names : C2.1 [Qua89]
% 0.54/0.86
% 0.54/0.86 % Status : Unsatisfiable
% 0.54/0.86 % 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
% 0.54/0.86 % Syntax : Number of clauses : 89 ( 27 unt; 21 nHn; 67 RR)
% 0.54/0.86 % Number of literals : 245 ( 47 equ; 137 neg)
% 0.54/0.86 % Maximal clause size : 8 ( 2 avg)
% 0.54/0.86 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.86 % Number of predicates : 4 ( 3 usr; 0 prp; 2-4 aty)
% 0.54/0.86 % Number of functors : 13 ( 13 usr; 6 con; 0-6 aty)
% 0.54/0.86 % Number of variables : 317 ( 14 sgn)
% 0.54/0.86 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.86
% 0.54/0.86 % Comments :
% 0.54/0.86 % Bugfixes : v1.2.1 - Clause d12 fixed.
% 0.54/0.86 %--------------------------------------------------------------------------
% 0.54/0.86 %----Include Tarski geometry axioms
% 0.54/0.86 include('Axioms/GEO002-0.ax').
% 0.54/0.86 %----Include definition of colinearity
% 0.54/0.86 include('Axioms/GEO002-1.ax').
% 0.54/0.86 %----Include definition of reflection
% 0.54/0.86 include('Axioms/GEO002-2.ax').
% 0.54/0.86 %----Include definition of insertion
% 0.54/0.86 include('Axioms/GEO002-3.ax').
% 0.54/0.86 %--------------------------------------------------------------------------
% 0.54/0.86 cnf(d1,axiom,
% 0.54/0.86 equidistant(U,V,U,V) ).
% 0.54/0.86
% 0.54/0.86 cnf(d2,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | equidistant(W,X,U,V) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(d3,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | equidistant(V,U,W,X) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(d4_1,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | equidistant(U,V,X,W) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(d4_2,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | equidistant(V,U,X,W) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(d4_3,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | equidistant(W,X,V,U) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(d4_4,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | equidistant(X,W,U,V) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(d4_5,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | equidistant(X,W,V,U) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(d5,axiom,
% 0.54/0.86 ( ~ equidistant(U,V,W,X)
% 0.54/0.86 | ~ equidistant(W,X,Y,Z)
% 0.54/0.86 | equidistant(U,V,Y,Z) ) ).
% 0.54/0.86
% 0.54/0.87 cnf(e1,axiom,
% 0.54/0.87 V = extension(U,V,W,W) ).
% 0.54/0.87
% 0.54/0.87 cnf(b0,axiom,
% 0.54/0.87 ( Y != extension(U,V,W,X)
% 0.54/0.87 | between(U,V,Y) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(r2_1,axiom,
% 0.54/0.87 between(U,V,reflection(U,V)) ).
% 0.54/0.87
% 0.54/0.87 cnf(r2_2,axiom,
% 0.54/0.87 equidistant(V,reflection(U,V),U,V) ).
% 0.54/0.87
% 0.54/0.87 cnf(r3_1,axiom,
% 0.54/0.87 ( U != V
% 0.54/0.87 | V = reflection(U,V) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(r3_2,axiom,
% 0.54/0.87 U = reflection(U,U) ).
% 0.54/0.87
% 0.54/0.87 cnf(r4,axiom,
% 0.54/0.87 ( V != reflection(U,V)
% 0.54/0.87 | U = V ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d7,axiom,
% 0.54/0.87 equidistant(U,U,V,V) ).
% 0.54/0.87
% 0.54/0.87 cnf(d8,axiom,
% 0.54/0.87 ( ~ equidistant(U,V,U1,V1)
% 0.54/0.87 | ~ equidistant(V,W,V1,W1)
% 0.54/0.87 | ~ between(U,V,W)
% 0.54/0.87 | ~ between(U1,V1,W1)
% 0.54/0.87 | equidistant(U,W,U1,W1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d9,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U,V,X)
% 0.54/0.87 | ~ equidistant(V,W,V,X)
% 0.54/0.87 | U = V
% 0.54/0.87 | W = X ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d10_1,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | U = V
% 0.54/0.87 | W = extension(U,V,V,W) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d10_2,axiom,
% 0.54/0.87 ( ~ equidistant(W,X,Y,Z)
% 0.54/0.87 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.54/0.87 | U = V ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d10_3,axiom,
% 0.54/0.87 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.54/0.87 | U = V ) ).
% 0.54/0.87
% 0.54/0.87 cnf(r5,axiom,
% 0.54/0.87 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.54/0.87
% 0.54/0.87 cnf(r6,axiom,
% 0.54/0.87 U = reflection(reflection(U,V),V) ).
% 0.54/0.87
% 0.54/0.87 cnf(t3,axiom,
% 0.54/0.87 between(U,V,V) ).
% 0.54/0.87
% 0.54/0.87 cnf(b1,axiom,
% 0.54/0.87 ( ~ between(U,W,X)
% 0.54/0.87 | U != X
% 0.54/0.87 | between(V,W,X) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(t1,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | between(W,V,U) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(t2,axiom,
% 0.54/0.87 between(U,U,V) ).
% 0.54/0.87
% 0.54/0.87 cnf(b2,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(V,U,W)
% 0.54/0.87 | U = V ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b3,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U,W,V)
% 0.54/0.87 | V = W ) ).
% 0.54/0.87
% 0.54/0.87 cnf(t6_1,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(V,U,W)
% 0.54/0.87 | U = V
% 0.54/0.87 | V = W ) ).
% 0.54/0.87
% 0.54/0.87 cnf(t6_2,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U,W,V)
% 0.54/0.87 | U = V
% 0.54/0.87 | V = W ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b4,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(V,W,X)
% 0.54/0.87 | between(U,V,W) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b5,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U,W,X)
% 0.54/0.87 | between(V,W,X) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b6,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(V,W,X)
% 0.54/0.87 | between(U,W,X)
% 0.54/0.87 | V = W ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b7,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(V,W,X)
% 0.54/0.87 | between(U,V,X)
% 0.54/0.87 | V = W ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b8,axiom,
% 0.54/0.87 ( ~ between(U,V,X)
% 0.54/0.87 | ~ between(V,W,X)
% 0.54/0.87 | between(U,W,X) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b9,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U,W,X)
% 0.54/0.87 | between(U,V,X) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(e2_1,axiom,
% 0.54/0.87 lower_dimension_point_1 != lower_dimension_point_2 ).
% 0.54/0.87
% 0.54/0.87 cnf(e2_2,axiom,
% 0.54/0.87 lower_dimension_point_2 != lower_dimension_point_3 ).
% 0.54/0.87
% 0.54/0.87 cnf(e2_3,axiom,
% 0.54/0.87 lower_dimension_point_1 != lower_dimension_point_3 ).
% 0.54/0.87
% 0.54/0.87 cnf(e3_1,axiom,
% 0.54/0.87 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 0.54/0.87
% 0.54/0.87 cnf(e3_2,axiom,
% 0.54/0.87 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)) ).
% 0.54/0.87
% 0.54/0.87 cnf(e3_3,axiom,
% 0.54/0.87 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 0.54/0.87
% 0.54/0.87 cnf(b10,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U1,V1,W)
% 0.54/0.87 | ~ between(U,X,U1)
% 0.54/0.87 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 0.54/0.87 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d11,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ equidistant(U,W,U,W1)
% 0.54/0.87 | ~ equidistant(V,W,V,W1)
% 0.54/0.87 | U = V
% 0.54/0.87 | W = W1 ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d12,axiom,
% 0.54/0.87 ( ~ equidistant(U,V,U1,V1)
% 0.54/0.87 | ~ equidistant(U,W,U1,W1)
% 0.54/0.87 | ~ equidistant(U,X,U1,X1)
% 0.54/0.87 | ~ equidistant(W,X,W1,X1)
% 0.54/0.87 | ~ between(U,V,W)
% 0.54/0.87 | ~ between(U1,V1,W1)
% 0.54/0.87 | equidistant(V,X,V1,X1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d13,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U1,V1,W1)
% 0.54/0.87 | ~ equidistant(U,V,U1,V1)
% 0.54/0.87 | ~ equidistant(U,W,U1,W1)
% 0.54/0.87 | equidistant(V,W,V1,W1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d14,axiom,
% 0.54/0.87 ( ~ equidistant(U,V,U1,V1)
% 0.54/0.87 | ~ equidistant(V,W,V1,W1)
% 0.54/0.87 | ~ equidistant(U,X,U1,X1)
% 0.54/0.87 | ~ equidistant(W,X,W1,X1)
% 0.54/0.87 | ~ between(U,V,W)
% 0.54/0.87 | ~ between(U1,V1,W1)
% 0.54/0.87 | equidistant(V,X,V1,X1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(d15,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ equidistant(U,V,U,X)
% 0.54/0.87 | ~ equidistant(W,V,W,X)
% 0.54/0.87 | V = X ) ).
% 0.54/0.87
% 0.54/0.87 cnf(i2_1,axiom,
% 0.54/0.87 equidistant(U,V,U1,insertion(U1,W1,U,V)) ).
% 0.54/0.87
% 0.54/0.87 cnf(i2_2,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ equidistant(U,W,U1,W1)
% 0.54/0.87 | between(U1,insertion(U1,W1,U,V),W1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(i2_3,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ equidistant(U,W,U1,W1)
% 0.54/0.87 | equidistant(V,W,insertion(U1,W1,U,V),W1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(i3,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | V = insertion(U,W,U,V) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(i4,axiom,
% 0.54/0.87 ( ~ equidistant(W,X,Y,Z)
% 0.54/0.87 | insertion(U,V,W,X) = insertion(U,V,Y,Z) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b11,axiom,
% 0.54/0.87 ( ~ equidistant(U,V,U1,V1)
% 0.54/0.87 | ~ equidistant(V,W,V1,W1)
% 0.54/0.87 | ~ equidistant(U,W,U1,W1)
% 0.54/0.87 | ~ between(U,V,W)
% 0.54/0.87 | between(U1,V1,W1) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b12,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U,V,X)
% 0.54/0.87 | U = V
% 0.54/0.87 | between(U,W,X)
% 0.54/0.87 | between(U,X,W) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b13,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ between(U,V,X)
% 0.54/0.87 | U = V
% 0.54/0.87 | between(V,W,X)
% 0.54/0.87 | between(V,X,W) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(t7,axiom,
% 0.54/0.87 ( ~ between(U,W,X)
% 0.54/0.87 | ~ between(V,W,X)
% 0.54/0.87 | W = X
% 0.54/0.87 | between(U,V,W)
% 0.54/0.87 | between(V,U,W) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(t9,axiom,
% 0.54/0.87 ( ~ between(U,V,X)
% 0.54/0.87 | ~ between(U,W,X)
% 0.54/0.87 | between(U,V,W)
% 0.54/0.87 | between(U,W,V) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b14,axiom,
% 0.54/0.87 ( ~ between(U,V,X)
% 0.54/0.87 | ~ between(U,W,X)
% 0.54/0.87 | between(V,W,X)
% 0.54/0.87 | between(W,V,X) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(t8,axiom,
% 0.54/0.87 ( ~ between(U,V,Y)
% 0.54/0.87 | ~ between(V,W,X)
% 0.54/0.87 | ~ between(U,X,Y)
% 0.54/0.87 | between(U,W,Y) ) ).
% 0.54/0.87
% 0.54/0.87 cnf(b15,axiom,
% 0.54/0.87 ( ~ between(U,V,W)
% 0.54/0.87 | ~ equidistant(U,V,U,W)
% 0.54/0.87 | V = W ) ).
% 0.54/0.87
% 0.54/0.87 cnf(v_between_w_and_u,hypothesis,
% 0.54/0.87 between(w,v,u) ).
% 0.54/0.87
% 0.54/0.87 cnf(prove_uvw_colinear,negated_conjecture,
% 0.54/0.87 ~ colinear(u,v,w) ).
% 0.54/0.87
% 0.54/0.87 %--------------------------------------------------------------------------
% 0.54/0.88 %-------------------------------------------
% 0.54/0.88 % Proof found
% 0.54/0.88 % SZS status Theorem for theBenchmark
% 0.54/0.88 % SZS output start Proof
% 0.54/0.88 %ClaNum:124(EqnAxiom:38)
% 0.54/0.88 %VarNum:822(SingletonVarNum:294)
% 0.54/0.88 %MaxLitNum:8
% 0.54/0.88 %MaxfuncDepth:2
% 0.54/0.88 %SharedTerms:14
% 0.54/0.88 %goalClause: 62
% 0.54/0.88 %singleGoalClaCount:1
% 0.54/0.88 [39]P1(a1,a2,a3)
% 0.54/0.88 [56]~E(a10,a8)
% 0.54/0.88 [57]~E(a11,a8)
% 0.54/0.88 [58]~E(a11,a10)
% 0.54/0.88 [59]~P1(a8,a10,a11)
% 0.54/0.88 [60]~P1(a10,a11,a8)
% 0.54/0.88 [61]~P1(a11,a8,a10)
% 0.54/0.88 [62]~P3(a3,a2,a1)
% 0.54/0.88 [40]P1(x401,x402,x402)
% 0.54/0.88 [41]P1(x411,x411,x412)
% 0.54/0.88 [42]P2(x421,x422,x422,x421)
% 0.54/0.88 [43]P2(x431,x432,x431,x432)
% 0.54/0.88 [44]P2(x441,x441,x442,x442)
% 0.54/0.88 [63]~E(f4(x631,x632,a8,a10),x632)
% 0.54/0.88 [53]E(f4(f4(x531,x532,x531,x532),x532,f4(x531,x532,x531,x532),x532),x531)
% 0.54/0.88 [55]P2(x551,x552,x551,f4(f4(x552,x551,x552,x551),x551,f4(x552,x551,x552,x551),x551))
% 0.54/0.88 [45]E(f4(x451,x452,x453,x453),x452)
% 0.54/0.88 [48]P1(x481,x482,f4(x481,x482,x483,x484))
% 0.54/0.88 [50]P2(x501,f4(x502,x501,x503,x504),x503,x504)
% 0.54/0.88 [52]P2(x521,f4(x522,x521,a8,a10),x523,f4(x524,x523,a8,a10))
% 0.54/0.88 [54]P2(x541,x542,x543,f4(f4(x544,x543,a8,a10),x543,x541,x542))
% 0.54/0.88 [64]~P1(x641,x642,x641)+E(x641,x642)
% 0.54/0.88 [80]~E(x801,x802)+E(f4(x801,x802,x801,x802),x802)
% 0.54/0.88 [89]E(x891,x892)+~E(f4(x892,x891,x892,x891),x891)
% 0.54/0.88 [92]E(x921,x922)+E(f4(x921,x922,x921,x922),f4(x921,x922,x922,x921))
% 0.54/0.88 [65]~P1(x653,x652,x651)+P1(x651,x652,x653)
% 0.54/0.88 [66]~P1(x662,x663,x661)+P3(x661,x662,x663)
% 0.54/0.88 [67]~P1(x673,x671,x672)+P3(x671,x672,x673)
% 0.54/0.88 [68]~P1(x681,x682,x683)+P3(x681,x682,x683)
% 0.54/0.88 [88]~P2(x881,x882,x883,x883)+E(x881,x882)
% 0.54/0.88 [101]~P1(x1012,x1013,x1011)+E(f4(f4(x1011,x1012,a8,a10),x1012,x1012,x1013),x1013)
% 0.54/0.88 [94]~P2(x944,x943,x942,x941)+P2(x941,x942,x943,x944)
% 0.54/0.88 [95]~P2(x953,x954,x952,x951)+P2(x951,x952,x953,x954)
% 0.54/0.88 [96]~P2(x964,x963,x961,x962)+P2(x961,x962,x963,x964)
% 0.54/0.88 [97]~P2(x973,x974,x971,x972)+P2(x971,x972,x973,x974)
% 0.54/0.88 [98]~P2(x982,x981,x984,x983)+P2(x981,x982,x983,x984)
% 0.54/0.88 [99]~P2(x992,x991,x993,x994)+P2(x991,x992,x993,x994)
% 0.54/0.88 [100]~P2(x1001,x1002,x1004,x1003)+P2(x1001,x1002,x1003,x1004)
% 0.54/0.88 [90]P1(x901,x902,x903)+~E(x903,f4(x901,x902,x904,x905))
% 0.54/0.88 [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))
% 0.54/0.88 [70]~P1(x703,x701,x702)+E(x701,x702)+~P1(x703,x702,x701)
% 0.54/0.88 [71]~P1(x711,x712,x713)+E(x711,x712)+~P1(x712,x711,x713)
% 0.54/0.88 [91]~P2(x913,x911,x913,x912)+E(x911,x912)+~P1(x913,x911,x912)
% 0.54/0.88 [87]~P1(x871,x872,x873)+E(x871,x872)+E(f4(x871,x872,x872,x873),x873)
% 0.54/0.88 [69]~P1(x694,x692,x693)+P1(x691,x692,x693)+~E(x694,x693)
% 0.54/0.88 [74]~P1(x744,x741,x742)+P1(x741,x742,x743)+~P1(x744,x742,x743)
% 0.54/0.88 [75]~P1(x751,x754,x753)+P1(x751,x752,x753)+~P1(x754,x752,x753)
% 0.54/0.88 [76]~P1(x761,x762,x764)+P1(x761,x762,x763)+~P1(x761,x764,x763)
% 0.54/0.88 [117]~P1(x1175,x1171,x1174)+~P1(x1172,x1173,x1174)+P1(x1171,f9(x1172,x1173,x1174,x1171,x1175),x1172)
% 0.54/0.88 [118]~P1(x1185,x1184,x1183)+~P1(x1182,x1181,x1183)+P1(x1181,f9(x1182,x1181,x1183,x1184,x1185),x1185)
% 0.54/0.88 [115]~P2(x1153,x1155,x1151,x1152)+~P1(x1153,x1154,x1155)+P1(x1151,f4(f4(x1152,x1151,a8,a10),x1151,x1153,x1154),x1152)
% 0.54/0.88 [116]~P1(x1165,x1161,x1162)+~P2(x1165,x1162,x1164,x1163)+P2(x1161,x1162,f4(f4(x1163,x1164,a8,a10),x1164,x1165,x1161),x1163)
% 0.54/0.88 [105]~P2(x1055,x1056,x1051,x1052)+P2(x1051,x1052,x1053,x1054)+~P2(x1055,x1056,x1053,x1054)
% 0.54/0.88 [106]~P2(x1061,x1062,x1065,x1066)+P2(x1061,x1062,x1063,x1064)+~P2(x1065,x1066,x1063,x1064)
% 0.54/0.88 [104]~P2(x1043,x1044,x1045,x1046)+E(x1041,x1042)+E(f4(x1041,x1042,x1043,x1044),f4(x1041,x1042,x1045,x1046))
% 0.54/0.88 [79]P1(x793,x791,x792)+P1(x792,x793,x791)+~P3(x792,x793,x791)+P1(x791,x792,x793)
% 0.54/0.88 [77]~P1(x771,x772,x774)+~P1(x773,x771,x772)+E(x771,x772)+P1(x773,x772,x774)
% 0.54/0.88 [78]~P1(x781,x782,x784)+~P1(x783,x781,x782)+E(x781,x782)+P1(x783,x781,x784)
% 0.54/0.88 [81]P1(x812,x811,x813)+~P1(x814,x812,x813)+P1(x811,x812,x813)+~P1(x814,x811,x813)
% 0.54/0.88 [82]P1(x821,x823,x822)+~P1(x821,x823,x824)+P1(x821,x822,x823)+~P1(x821,x822,x824)
% 0.54/0.88 [102]~P2(x1024,x1021,x1024,x1022)+~P2(x1023,x1021,x1023,x1022)+E(x1021,x1022)+~P1(x1023,x1021,x1024)
% 0.54/0.88 [86]~P1(x861,x865,x863)+~P1(x861,x864,x863)+P1(x861,x862,x863)+~P1(x864,x862,x865)
% 0.54/0.88 [119]~P1(x1194,x1192,x1193)+~P1(x1191,x1192,x1195)+E(x1191,x1192)+P1(x1191,x1193,f5(x1191,x1194,x1192,x1193,x1195))
% 0.54/0.88 [120]~P1(x1203,x1202,x1204)+~P1(x1201,x1202,x1205)+E(x1201,x1202)+P1(x1201,x1203,f6(x1201,x1203,x1202,x1204,x1205))
% 0.54/0.88 [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))
% 0.54/0.88 [83]P1(x834,x833,x831)+~P1(x833,x831,x832)+~P1(x834,x831,x832)+E(x831,x832)+P1(x833,x834,x831)
% 0.54/0.88 [84]P1(x842,x844,x843)+~P1(x841,x842,x843)+~P1(x841,x842,x844)+E(x841,x842)+P1(x842,x843,x844)
% 0.54/0.88 [85]P1(x851,x854,x853)+~P1(x851,x852,x853)+~P1(x851,x852,x854)+E(x851,x852)+P1(x851,x853,x854)
% 0.54/0.88 [93]~P1(x933,x934,x932)+~P1(x933,x934,x931)+~P2(x934,x931,x934,x932)+E(x931,x932)+E(x933,x934)
% 0.54/0.88 [103]~P1(x1033,x1034,x1031)+~P2(x1034,x1031,x1034,x1032)+~P2(x1033,x1031,x1033,x1032)+E(x1031,x1032)+E(x1033,x1034)
% 0.54/0.88 [107]~P2(x1076,x1072,x1075,x1074)+~P2(x1076,x1071,x1075,x1073)+P2(x1071,x1072,x1073,x1074)+~P1(x1075,x1073,x1074)+~P1(x1076,x1071,x1072)
% 0.54/0.88 [108]~P2(x1086,x1082,x1085,x1084)+~P2(x1081,x1086,x1083,x1085)+P2(x1081,x1082,x1083,x1084)+~P1(x1083,x1085,x1084)+~P1(x1081,x1086,x1082)
% 0.54/0.88 [109]~P2(x1095,x1096,x1092,x1093)+~P2(x1094,x1096,x1091,x1093)+~P2(x1094,x1095,x1091,x1092)+P1(x1091,x1092,x1093)+~P1(x1094,x1095,x1096)
% 0.54/0.88 [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)
% 0.54/0.88 [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))
% 0.54/0.88 [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)
% 0.54/0.88 [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)
% 0.54/0.88 [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)
% 0.54/0.88 [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)
% 0.54/0.88 [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)
% 0.54/0.88 %EqnAxiom
% 0.54/0.88 [1]E(x11,x11)
% 0.54/0.88 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.88 [4]~E(x41,x42)+E(f4(x41,x43,x44,x45),f4(x42,x43,x44,x45))
% 0.54/0.88 [5]~E(x51,x52)+E(f4(x53,x51,x54,x55),f4(x53,x52,x54,x55))
% 0.54/0.88 [6]~E(x61,x62)+E(f4(x63,x64,x61,x65),f4(x63,x64,x62,x65))
% 0.54/0.88 [7]~E(x71,x72)+E(f4(x73,x74,x75,x71),f4(x73,x74,x75,x72))
% 0.54/0.88 [8]~E(x81,x82)+E(f9(x81,x83,x84,x85,x86),f9(x82,x83,x84,x85,x86))
% 0.54/0.88 [9]~E(x91,x92)+E(f9(x93,x91,x94,x95,x96),f9(x93,x92,x94,x95,x96))
% 0.54/0.88 [10]~E(x101,x102)+E(f9(x103,x104,x101,x105,x106),f9(x103,x104,x102,x105,x106))
% 0.54/0.88 [11]~E(x111,x112)+E(f9(x113,x114,x115,x111,x116),f9(x113,x114,x115,x112,x116))
% 0.54/0.88 [12]~E(x121,x122)+E(f9(x123,x124,x125,x126,x121),f9(x123,x124,x125,x126,x122))
% 0.54/0.88 [13]~E(x131,x132)+E(f5(x131,x133,x134,x135,x136),f5(x132,x133,x134,x135,x136))
% 0.54/0.88 [14]~E(x141,x142)+E(f5(x143,x141,x144,x145,x146),f5(x143,x142,x144,x145,x146))
% 0.54/0.88 [15]~E(x151,x152)+E(f5(x153,x154,x151,x155,x156),f5(x153,x154,x152,x155,x156))
% 0.54/0.88 [16]~E(x161,x162)+E(f5(x163,x164,x165,x161,x166),f5(x163,x164,x165,x162,x166))
% 0.54/0.88 [17]~E(x171,x172)+E(f5(x173,x174,x175,x176,x171),f5(x173,x174,x175,x176,x172))
% 0.54/0.88 [18]~E(x181,x182)+E(f6(x181,x183,x184,x185,x186),f6(x182,x183,x184,x185,x186))
% 0.54/0.88 [19]~E(x191,x192)+E(f6(x193,x191,x194,x195,x196),f6(x193,x192,x194,x195,x196))
% 0.54/0.88 [20]~E(x201,x202)+E(f6(x203,x204,x201,x205,x206),f6(x203,x204,x202,x205,x206))
% 0.54/0.88 [21]~E(x211,x212)+E(f6(x213,x214,x215,x211,x216),f6(x213,x214,x215,x212,x216))
% 0.54/0.88 [22]~E(x221,x222)+E(f6(x223,x224,x225,x226,x221),f6(x223,x224,x225,x226,x222))
% 0.54/0.88 [23]~E(x231,x232)+E(f7(x231,x233,x234,x235,x236,x237),f7(x232,x233,x234,x235,x236,x237))
% 0.54/0.88 [24]~E(x241,x242)+E(f7(x243,x241,x244,x245,x246,x247),f7(x243,x242,x244,x245,x246,x247))
% 0.54/0.88 [25]~E(x251,x252)+E(f7(x253,x254,x251,x255,x256,x257),f7(x253,x254,x252,x255,x256,x257))
% 0.54/0.88 [26]~E(x261,x262)+E(f7(x263,x264,x265,x261,x266,x267),f7(x263,x264,x265,x262,x266,x267))
% 0.54/0.88 [27]~E(x271,x272)+E(f7(x273,x274,x275,x276,x271,x277),f7(x273,x274,x275,x276,x272,x277))
% 0.54/0.88 [28]~E(x281,x282)+E(f7(x283,x284,x285,x286,x287,x281),f7(x283,x284,x285,x286,x287,x282))
% 0.54/0.88 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.54/0.88 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.54/0.88 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.54/0.88 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.86/0.88 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.86/0.88 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.86/0.88 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.86/0.88 [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 0.86/0.88 [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 0.86/0.88 [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 0.86/0.88
% 0.86/0.88 %-------------------------------------------
% 0.86/0.88 cnf(128,plain,
% 0.86/0.88 (~P1(a2,a1,a3)),
% 0.86/0.88 inference(scs_inference,[],[62,66])).
% 0.86/0.88 cnf(130,plain,
% 0.86/0.88 (~P1(a1,a3,a2)),
% 0.86/0.88 inference(scs_inference,[],[62,66,67])).
% 0.86/0.88 cnf(132,plain,
% 0.86/0.88 (~P1(a3,a2,a1)),
% 0.86/0.88 inference(scs_inference,[],[62,66,67,68])).
% 0.86/0.88 cnf(136,plain,
% 0.86/0.88 (P1(x1361,x1362,f4(x1363,f4(x1361,x1362,x1364,x1365),x1366,x1366))),
% 0.86/0.88 inference(scs_inference,[],[62,45,59,66,67,68,65,90])).
% 0.86/0.88 cnf(137,plain,
% 0.86/0.88 (E(f4(x1371,x1372,x1373,x1373),x1372)),
% 0.86/0.88 inference(rename_variables,[],[45])).
% 0.86/0.88 cnf(139,plain,
% 0.86/0.88 (~P1(f4(x1391,x1392,a8,a10),x1392,f4(x1391,x1392,a8,a10))),
% 0.86/0.88 inference(scs_inference,[],[62,45,63,59,66,67,68,65,90,64])).
% 0.86/0.88 cnf(142,plain,
% 0.86/0.88 (~E(f4(x1421,x1422,a8,a10),x1422)),
% 0.86/0.88 inference(rename_variables,[],[63])).
% 0.86/0.88 cnf(149,plain,
% 0.86/0.88 (~P2(x1491,x1491,x1492,f4(x1493,x1492,a8,a10))),
% 0.86/0.88 inference(scs_inference,[],[62,45,63,142,59,53,66,67,68,65,90,64,80,88,89,94])).
% 0.86/0.88 cnf(155,plain,
% 0.86/0.88 (E(x1551,f4(x1552,x1551,x1553,x1553))),
% 0.86/0.88 inference(scs_inference,[],[62,45,137,63,142,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2])).
% 0.86/0.88 cnf(156,plain,
% 0.86/0.88 (P1(a2,a3,f4(a1,a3,x1561,x1562))),
% 0.86/0.88 inference(scs_inference,[],[62,39,48,45,137,63,142,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74])).
% 0.86/0.88 cnf(157,plain,
% 0.86/0.88 (P1(x1571,x1572,f4(x1571,x1572,x1573,x1574))),
% 0.86/0.88 inference(rename_variables,[],[48])).
% 0.86/0.88 cnf(160,plain,
% 0.86/0.88 (P1(x1601,x1602,f4(x1601,x1602,x1603,x1604))),
% 0.86/0.88 inference(rename_variables,[],[48])).
% 0.86/0.88 cnf(162,plain,
% 0.86/0.88 (~P1(x1621,f4(x1622,x1621,a8,a10),x1621)),
% 0.86/0.88 inference(scs_inference,[],[62,39,41,48,157,45,137,63,142,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70])).
% 0.86/0.88 cnf(163,plain,
% 0.86/0.88 (~E(f4(x1631,x1632,a8,a10),x1632)),
% 0.86/0.88 inference(rename_variables,[],[63])).
% 0.86/0.88 cnf(164,plain,
% 0.86/0.88 (P1(x1641,x1641,x1642)),
% 0.86/0.88 inference(rename_variables,[],[41])).
% 0.86/0.88 cnf(167,plain,
% 0.86/0.88 (P1(x1671,x1672,x1672)),
% 0.86/0.88 inference(rename_variables,[],[40])).
% 0.86/0.88 cnf(170,plain,
% 0.86/0.88 (P1(x1701,x1701,x1702)),
% 0.86/0.88 inference(rename_variables,[],[41])).
% 0.86/0.88 cnf(172,plain,
% 0.86/0.88 (P2(f4(x1721,x1722,x1723,x1724),x1722,x1723,x1724)),
% 0.86/0.88 inference(scs_inference,[],[62,39,40,41,164,48,157,42,50,45,137,63,142,56,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70,71,91,105])).
% 0.86/0.88 cnf(173,plain,
% 0.86/0.88 (P2(x1731,f4(x1732,x1731,x1733,x1734),x1733,x1734)),
% 0.86/0.88 inference(rename_variables,[],[50])).
% 0.86/0.88 cnf(174,plain,
% 0.86/0.88 (P2(x1741,x1742,x1742,x1741)),
% 0.86/0.88 inference(rename_variables,[],[42])).
% 0.86/0.88 cnf(176,plain,
% 0.86/0.88 (P2(f4(x1761,x1762,a8,a10),x1762,x1763,f4(x1764,x1763,a8,a10))),
% 0.86/0.88 inference(scs_inference,[],[62,39,40,41,164,48,157,42,174,50,52,45,137,63,142,56,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70,71,91,105,106])).
% 0.86/0.88 cnf(177,plain,
% 0.86/0.88 (P2(x1771,f4(x1772,x1771,a8,a10),x1773,f4(x1774,x1773,a8,a10))),
% 0.86/0.88 inference(rename_variables,[],[52])).
% 0.86/0.88 cnf(178,plain,
% 0.86/0.88 (P2(x1781,x1782,x1782,x1781)),
% 0.86/0.88 inference(rename_variables,[],[42])).
% 0.86/0.88 cnf(180,plain,
% 0.86/0.88 (~P2(a8,a10,x1801,x1801)),
% 0.86/0.88 inference(scs_inference,[],[62,39,40,167,41,164,48,157,42,174,50,52,45,137,63,142,56,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70,71,91,105,106,116])).
% 0.86/0.88 cnf(181,plain,
% 0.86/0.88 (P1(x1811,x1812,x1812)),
% 0.86/0.88 inference(rename_variables,[],[40])).
% 0.86/0.88 cnf(183,plain,
% 0.86/0.88 (~E(f4(x1831,x1832,a8,a10),f4(x1833,x1832,x1834,x1834))),
% 0.86/0.88 inference(scs_inference,[],[62,39,40,167,41,164,48,157,42,174,50,52,45,137,63,142,163,56,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70,71,91,105,106,116,3])).
% 0.86/0.88 cnf(184,plain,
% 0.86/0.88 (E(f4(x1841,x1842,x1843,x1843),x1842)),
% 0.86/0.88 inference(rename_variables,[],[45])).
% 0.86/0.88 cnf(188,plain,
% 0.86/0.88 (P1(x1881,x1882,x1882)),
% 0.86/0.88 inference(rename_variables,[],[40])).
% 0.86/0.88 cnf(190,plain,
% 0.86/0.88 (P2(x1901,x1902,x1902,x1901)),
% 0.86/0.88 inference(rename_variables,[],[42])).
% 0.86/0.88 cnf(192,plain,
% 0.86/0.88 (P2(x1921,f4(x1922,x1921,x1923,x1924),x1923,x1924)),
% 0.86/0.88 inference(rename_variables,[],[50])).
% 0.86/0.88 cnf(195,plain,
% 0.86/0.88 (P2(x1951,f4(x1952,x1951,x1953,f4(x1954,x1955,x1956,x1956)),x1953,x1955)),
% 0.86/0.88 inference(scs_inference,[],[62,39,40,167,181,41,164,48,157,42,174,178,50,173,192,52,177,45,137,184,63,142,163,56,59,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70,71,91,105,106,116,3,29,30,31,32,33,34,35])).
% 0.86/0.88 cnf(199,plain,
% 0.86/0.88 (E(f4(f4(x1991,a2,a8,a10),a2,a2,f4(x1992,a2,x1993,x1993)),a2)),
% 0.86/0.88 inference(scs_inference,[],[62,39,40,167,181,188,41,164,48,157,160,42,174,178,50,173,192,52,177,45,137,184,63,142,163,56,59,60,61,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70,71,91,105,106,116,3,29,30,31,32,33,34,35,79,93])).
% 0.86/0.88 cnf(201,plain,
% 0.86/0.88 (P1(x2011,x2012,x2012)),
% 0.86/0.88 inference(rename_variables,[],[40])).
% 0.86/0.88 cnf(205,plain,
% 0.86/0.88 (P1(x2051,x2052,x2052)),
% 0.86/0.88 inference(rename_variables,[],[40])).
% 0.86/0.88 cnf(206,plain,
% 0.86/0.88 (P1(x2061,x2061,x2062)),
% 0.86/0.88 inference(rename_variables,[],[41])).
% 0.86/0.88 cnf(214,plain,
% 0.86/0.88 (~P2(a10,a8,a10,a10)),
% 0.86/0.88 inference(scs_inference,[],[62,39,40,167,181,188,201,205,41,164,170,206,48,157,160,42,174,178,190,43,50,173,192,52,177,45,137,184,63,142,163,56,59,60,61,53,66,67,68,65,90,64,80,88,89,94,95,96,2,74,76,70,71,91,105,106,116,3,29,30,31,32,33,34,35,79,93,107,113,97])).
% 0.86/0.88 cnf(253,plain,
% 0.86/0.88 (P1(x2531,x2532,f4(x2531,x2532,x2533,x2534))),
% 0.86/0.88 inference(rename_variables,[],[48])).
% 0.86/0.88 cnf(254,plain,
% 0.86/0.88 (P1(x2541,x2542,f4(x2543,f4(x2541,x2542,x2544,x2545),x2546,x2546))),
% 0.86/0.88 inference(rename_variables,[],[136])).
% 0.86/0.88 cnf(257,plain,
% 0.86/0.88 (P1(x2571,x2572,f4(x2573,f4(x2571,x2572,x2574,x2575),x2576,x2576))),
% 0.86/0.88 inference(rename_variables,[],[136])).
% 0.86/0.88 cnf(260,plain,
% 0.86/0.88 (P1(x2601,x2602,f4(x2603,f4(x2601,x2602,x2604,x2605),x2606,x2606))),
% 0.86/0.88 inference(rename_variables,[],[136])).
% 0.86/0.88 cnf(263,plain,
% 0.86/0.88 (P1(x2631,x2632,f4(x2633,f4(x2631,x2632,x2634,x2635),x2636,x2636))),
% 0.86/0.88 inference(rename_variables,[],[136])).
% 0.86/0.88 cnf(266,plain,
% 0.86/0.88 (P1(x2661,x2661,x2662)),
% 0.86/0.88 inference(rename_variables,[],[41])).
% 0.86/0.88 cnf(270,plain,
% 0.86/0.88 (P2(x2701,f4(x2702,x2701,x2703,f4(x2704,x2705,x2706,x2706)),x2703,x2705)),
% 0.86/0.88 inference(rename_variables,[],[195])).
% 0.86/0.88 cnf(274,plain,
% 0.86/0.88 (P2(f4(x2741,x2742,x2743,x2744),x2742,x2743,x2744)),
% 0.86/0.88 inference(rename_variables,[],[172])).
% 0.86/0.88 cnf(276,plain,
% 0.86/0.88 (~E(x2761,f4(x2762,x2761,x2763,f4(x2764,x2763,a8,a10)))),
% 0.86/0.88 inference(scs_inference,[],[128,39,136,254,257,260,41,48,57,58,172,274,195,149,162,176,180,199,99,65,64,97,94,88,96,98,95,2,75,76,71,74,91,115,105,33])).
% 0.86/0.88 cnf(277,plain,
% 0.86/0.88 (P2(f4(x2771,x2772,x2773,x2774),x2772,x2773,x2774)),
% 0.86/0.88 inference(rename_variables,[],[172])).
% 0.86/0.88 cnf(278,plain,
% 0.86/0.88 (~P2(x2781,x2781,x2782,f4(x2783,x2782,a8,a10))),
% 0.86/0.88 inference(rename_variables,[],[149])).
% 0.86/0.88 cnf(280,plain,
% 0.86/0.88 (E(x2801,f4(x2802,x2801,x2803,x2803))),
% 0.86/0.88 inference(rename_variables,[],[155])).
% 0.86/0.88 cnf(282,plain,
% 0.86/0.88 (P2(f4(x2821,x2822,x2823,x2824),x2822,x2823,x2824)),
% 0.86/0.88 inference(rename_variables,[],[172])).
% 0.86/0.88 cnf(283,plain,
% 0.86/0.88 (P2(x2831,f4(x2832,x2831,x2833,f4(x2834,x2835,x2836,x2836)),x2833,x2835)),
% 0.86/0.88 inference(rename_variables,[],[195])).
% 0.86/0.88 cnf(286,plain,
% 0.86/0.88 (E(x2861,f4(x2862,x2861,x2863,x2863))),
% 0.86/0.88 inference(rename_variables,[],[155])).
% 0.86/0.88 cnf(288,plain,
% 0.86/0.88 (P1(x2881,x2881,x2882)),
% 0.86/0.88 inference(rename_variables,[],[41])).
% 0.86/0.88 cnf(293,plain,
% 0.86/0.88 (P2(x2931,f4(x2932,x2931,x2933,f4(x2934,x2935,x2936,x2936)),x2933,x2935)),
% 0.86/0.88 inference(rename_variables,[],[195])).
% 0.86/0.88 cnf(295,plain,
% 0.86/0.88 (P1(x2951,x2952,f4(x2953,f4(x2951,x2952,x2954,x2955),x2956,x2956))),
% 0.86/0.88 inference(rename_variables,[],[136])).
% 0.86/0.88 cnf(297,plain,
% 0.86/0.88 (P2(f4(x2971,x2972,x2973,x2974),x2972,x2973,x2974)),
% 0.86/0.88 inference(rename_variables,[],[172])).
% 0.86/0.88 cnf(301,plain,
% 0.86/0.88 (P1(x3011,x3012,f4(x3013,f4(x3011,x3012,x3014,x3015),x3016,x3016))),
% 0.86/0.88 inference(rename_variables,[],[136])).
% 0.86/0.88 cnf(308,plain,
% 0.86/0.88 (P1(x3081,x3082,f4(x3081,x3082,x3083,x3084))),
% 0.86/0.88 inference(rename_variables,[],[48])).
% 0.86/0.88 cnf(322,plain,
% 0.86/0.88 (~P2(a8,a10,a2,f4(x3221,a2,x3222,x3222))),
% 0.86/0.88 inference(scs_inference,[],[128,130,132,39,136,254,257,260,263,295,301,156,40,41,266,288,48,253,308,57,58,172,274,277,282,297,155,280,286,195,270,283,293,214,149,278,162,139,176,183,180,199,63,99,65,64,97,94,88,96,98,95,2,75,76,71,74,91,115,105,33,31,106,29,70,3,35,30,32,34,86,79,77,82,78,107,111])).
% 0.86/0.88 cnf(451,plain,
% 0.86/0.88 ($false),
% 0.86/0.88 inference(scs_inference,[],[132,39,276,322,96,88,97,99,65]),
% 0.86/0.88 ['proof']).
% 0.86/0.88 % SZS output end Proof
% 0.86/0.88 % Total time :0.230000s
%------------------------------------------------------------------------------