TSTP Solution File: GEO065-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO065-3 : 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 : n002.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 22:42:45 EDT 2023
% Result : Unsatisfiable 1.07s 1.13s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO065-3 : 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 : n002.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 21:40:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.07/1.12 %-------------------------------------------
% 1.07/1.12 % File :CSE---1.6
% 1.07/1.12 % Problem :theBenchmark
% 1.07/1.12 % Transform :cnf
% 1.07/1.12 % Format :tptp:raw
% 1.07/1.12 % Command :java -jar mcs_scs.jar %d %s
% 1.07/1.12
% 1.07/1.12 % Result :Theorem 0.490000s
% 1.07/1.12 % Output :CNFRefutation 0.490000s
% 1.07/1.12 %-------------------------------------------
% 1.07/1.12 %--------------------------------------------------------------------------
% 1.07/1.12 % File : GEO065-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 1.07/1.12 % Domain : Geometry
% 1.07/1.12 % Problem : Corollary 2 to collinearity
% 1.07/1.12 % Version : [Qua89] axioms : Augmented.
% 1.07/1.12 % English :
% 1.07/1.12
% 1.07/1.12 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 1.07/1.12 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 1.07/1.12 % Source : [Qua89]
% 1.07/1.12 % Names : C2.2 [Qua89]
% 1.07/1.12
% 1.07/1.12 % Status : Unsatisfiable
% 1.07/1.12 % 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 v5.3.0, 0.11 v5.2.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.08 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
% 1.07/1.12 % Syntax : Number of clauses : 89 ( 27 unt; 21 nHn; 67 RR)
% 1.07/1.12 % Number of literals : 245 ( 47 equ; 137 neg)
% 1.07/1.12 % Maximal clause size : 8 ( 2 avg)
% 1.07/1.12 % Maximal term depth : 3 ( 1 avg)
% 1.07/1.12 % Number of predicates : 4 ( 3 usr; 0 prp; 2-4 aty)
% 1.07/1.12 % Number of functors : 13 ( 13 usr; 6 con; 0-6 aty)
% 1.07/1.12 % Number of variables : 317 ( 14 sgn)
% 1.07/1.12 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.07/1.12
% 1.07/1.12 % Comments :
% 1.07/1.12 % Bugfixes : v1.2.1 - Clause d12 fixed.
% 1.07/1.12 %--------------------------------------------------------------------------
% 1.07/1.12 %----Include Tarski geometry axioms
% 1.07/1.12 include('Axioms/GEO002-0.ax').
% 1.07/1.12 %----Include definition of colinearity
% 1.07/1.12 include('Axioms/GEO002-1.ax').
% 1.07/1.12 %----Include definition of reflection
% 1.07/1.12 include('Axioms/GEO002-2.ax').
% 1.07/1.12 %----Include definition of insertion
% 1.07/1.12 include('Axioms/GEO002-3.ax').
% 1.07/1.12 %--------------------------------------------------------------------------
% 1.07/1.12 cnf(d1,axiom,
% 1.07/1.12 equidistant(U,V,U,V) ).
% 1.07/1.12
% 1.07/1.12 cnf(d2,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | equidistant(W,X,U,V) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(d3,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | equidistant(V,U,W,X) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(d4_1,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | equidistant(U,V,X,W) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(d4_2,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | equidistant(V,U,X,W) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(d4_3,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | equidistant(W,X,V,U) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(d4_4,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | equidistant(X,W,U,V) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(d4_5,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | equidistant(X,W,V,U) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(d5,axiom,
% 1.07/1.12 ( ~ equidistant(U,V,W,X)
% 1.07/1.12 | ~ equidistant(W,X,Y,Z)
% 1.07/1.12 | equidistant(U,V,Y,Z) ) ).
% 1.07/1.12
% 1.07/1.12 cnf(e1,axiom,
% 1.07/1.12 V = extension(U,V,W,W) ).
% 1.07/1.12
% 1.07/1.13 cnf(b0,axiom,
% 1.07/1.13 ( Y != extension(U,V,W,X)
% 1.07/1.13 | between(U,V,Y) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(r2_1,axiom,
% 1.07/1.13 between(U,V,reflection(U,V)) ).
% 1.07/1.13
% 1.07/1.13 cnf(r2_2,axiom,
% 1.07/1.13 equidistant(V,reflection(U,V),U,V) ).
% 1.07/1.13
% 1.07/1.13 cnf(r3_1,axiom,
% 1.07/1.13 ( U != V
% 1.07/1.13 | V = reflection(U,V) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(r3_2,axiom,
% 1.07/1.13 U = reflection(U,U) ).
% 1.07/1.13
% 1.07/1.13 cnf(r4,axiom,
% 1.07/1.13 ( V != reflection(U,V)
% 1.07/1.13 | U = V ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d7,axiom,
% 1.07/1.13 equidistant(U,U,V,V) ).
% 1.07/1.13
% 1.07/1.13 cnf(d8,axiom,
% 1.07/1.13 ( ~ equidistant(U,V,U1,V1)
% 1.07/1.13 | ~ equidistant(V,W,V1,W1)
% 1.07/1.13 | ~ between(U,V,W)
% 1.07/1.13 | ~ between(U1,V1,W1)
% 1.07/1.13 | equidistant(U,W,U1,W1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d9,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U,V,X)
% 1.07/1.13 | ~ equidistant(V,W,V,X)
% 1.07/1.13 | U = V
% 1.07/1.13 | W = X ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d10_1,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | U = V
% 1.07/1.13 | W = extension(U,V,V,W) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d10_2,axiom,
% 1.07/1.13 ( ~ equidistant(W,X,Y,Z)
% 1.07/1.13 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 1.07/1.13 | U = V ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d10_3,axiom,
% 1.07/1.13 ( extension(U,V,U,V) = extension(U,V,V,U)
% 1.07/1.13 | U = V ) ).
% 1.07/1.13
% 1.07/1.13 cnf(r5,axiom,
% 1.07/1.13 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 1.07/1.13
% 1.07/1.13 cnf(r6,axiom,
% 1.07/1.13 U = reflection(reflection(U,V),V) ).
% 1.07/1.13
% 1.07/1.13 cnf(t3,axiom,
% 1.07/1.13 between(U,V,V) ).
% 1.07/1.13
% 1.07/1.13 cnf(b1,axiom,
% 1.07/1.13 ( ~ between(U,W,X)
% 1.07/1.13 | U != X
% 1.07/1.13 | between(V,W,X) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(t1,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | between(W,V,U) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(t2,axiom,
% 1.07/1.13 between(U,U,V) ).
% 1.07/1.13
% 1.07/1.13 cnf(b2,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(V,U,W)
% 1.07/1.13 | U = V ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b3,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U,W,V)
% 1.07/1.13 | V = W ) ).
% 1.07/1.13
% 1.07/1.13 cnf(t6_1,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(V,U,W)
% 1.07/1.13 | U = V
% 1.07/1.13 | V = W ) ).
% 1.07/1.13
% 1.07/1.13 cnf(t6_2,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U,W,V)
% 1.07/1.13 | U = V
% 1.07/1.13 | V = W ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b4,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(V,W,X)
% 1.07/1.13 | between(U,V,W) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b5,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U,W,X)
% 1.07/1.13 | between(V,W,X) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b6,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(V,W,X)
% 1.07/1.13 | between(U,W,X)
% 1.07/1.13 | V = W ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b7,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(V,W,X)
% 1.07/1.13 | between(U,V,X)
% 1.07/1.13 | V = W ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b8,axiom,
% 1.07/1.13 ( ~ between(U,V,X)
% 1.07/1.13 | ~ between(V,W,X)
% 1.07/1.13 | between(U,W,X) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b9,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U,W,X)
% 1.07/1.13 | between(U,V,X) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(e2_1,axiom,
% 1.07/1.13 lower_dimension_point_1 != lower_dimension_point_2 ).
% 1.07/1.13
% 1.07/1.13 cnf(e2_2,axiom,
% 1.07/1.13 lower_dimension_point_2 != lower_dimension_point_3 ).
% 1.07/1.13
% 1.07/1.13 cnf(e2_3,axiom,
% 1.07/1.13 lower_dimension_point_1 != lower_dimension_point_3 ).
% 1.07/1.13
% 1.07/1.13 cnf(e3_1,axiom,
% 1.07/1.13 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 1.07/1.13
% 1.07/1.13 cnf(e3_2,axiom,
% 1.07/1.13 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)) ).
% 1.07/1.13
% 1.07/1.13 cnf(e3_3,axiom,
% 1.07/1.13 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 1.07/1.13
% 1.07/1.13 cnf(b10,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U1,V1,W)
% 1.07/1.13 | ~ between(U,X,U1)
% 1.07/1.13 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 1.07/1.13 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d11,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ equidistant(U,W,U,W1)
% 1.07/1.13 | ~ equidistant(V,W,V,W1)
% 1.07/1.13 | U = V
% 1.07/1.13 | W = W1 ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d12,axiom,
% 1.07/1.13 ( ~ equidistant(U,V,U1,V1)
% 1.07/1.13 | ~ equidistant(U,W,U1,W1)
% 1.07/1.13 | ~ equidistant(U,X,U1,X1)
% 1.07/1.13 | ~ equidistant(W,X,W1,X1)
% 1.07/1.13 | ~ between(U,V,W)
% 1.07/1.13 | ~ between(U1,V1,W1)
% 1.07/1.13 | equidistant(V,X,V1,X1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d13,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U1,V1,W1)
% 1.07/1.13 | ~ equidistant(U,V,U1,V1)
% 1.07/1.13 | ~ equidistant(U,W,U1,W1)
% 1.07/1.13 | equidistant(V,W,V1,W1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d14,axiom,
% 1.07/1.13 ( ~ equidistant(U,V,U1,V1)
% 1.07/1.13 | ~ equidistant(V,W,V1,W1)
% 1.07/1.13 | ~ equidistant(U,X,U1,X1)
% 1.07/1.13 | ~ equidistant(W,X,W1,X1)
% 1.07/1.13 | ~ between(U,V,W)
% 1.07/1.13 | ~ between(U1,V1,W1)
% 1.07/1.13 | equidistant(V,X,V1,X1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(d15,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ equidistant(U,V,U,X)
% 1.07/1.13 | ~ equidistant(W,V,W,X)
% 1.07/1.13 | V = X ) ).
% 1.07/1.13
% 1.07/1.13 cnf(i2_1,axiom,
% 1.07/1.13 equidistant(U,V,U1,insertion(U1,W1,U,V)) ).
% 1.07/1.13
% 1.07/1.13 cnf(i2_2,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ equidistant(U,W,U1,W1)
% 1.07/1.13 | between(U1,insertion(U1,W1,U,V),W1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(i2_3,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ equidistant(U,W,U1,W1)
% 1.07/1.13 | equidistant(V,W,insertion(U1,W1,U,V),W1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(i3,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | V = insertion(U,W,U,V) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(i4,axiom,
% 1.07/1.13 ( ~ equidistant(W,X,Y,Z)
% 1.07/1.13 | insertion(U,V,W,X) = insertion(U,V,Y,Z) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b11,axiom,
% 1.07/1.13 ( ~ equidistant(U,V,U1,V1)
% 1.07/1.13 | ~ equidistant(V,W,V1,W1)
% 1.07/1.13 | ~ equidistant(U,W,U1,W1)
% 1.07/1.13 | ~ between(U,V,W)
% 1.07/1.13 | between(U1,V1,W1) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b12,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U,V,X)
% 1.07/1.13 | U = V
% 1.07/1.13 | between(U,W,X)
% 1.07/1.13 | between(U,X,W) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b13,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ between(U,V,X)
% 1.07/1.13 | U = V
% 1.07/1.13 | between(V,W,X)
% 1.07/1.13 | between(V,X,W) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(t7,axiom,
% 1.07/1.13 ( ~ between(U,W,X)
% 1.07/1.13 | ~ between(V,W,X)
% 1.07/1.13 | W = X
% 1.07/1.13 | between(U,V,W)
% 1.07/1.13 | between(V,U,W) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(t9,axiom,
% 1.07/1.13 ( ~ between(U,V,X)
% 1.07/1.13 | ~ between(U,W,X)
% 1.07/1.13 | between(U,V,W)
% 1.07/1.13 | between(U,W,V) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b14,axiom,
% 1.07/1.13 ( ~ between(U,V,X)
% 1.07/1.13 | ~ between(U,W,X)
% 1.07/1.13 | between(V,W,X)
% 1.07/1.13 | between(W,V,X) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(t8,axiom,
% 1.07/1.13 ( ~ between(U,V,Y)
% 1.07/1.13 | ~ between(V,W,X)
% 1.07/1.13 | ~ between(U,X,Y)
% 1.07/1.13 | between(U,W,Y) ) ).
% 1.07/1.13
% 1.07/1.13 cnf(b15,axiom,
% 1.07/1.13 ( ~ between(U,V,W)
% 1.07/1.13 | ~ equidistant(U,V,U,W)
% 1.07/1.13 | V = W ) ).
% 1.07/1.13
% 1.07/1.13 cnf(w_between_u_and_v,hypothesis,
% 1.07/1.13 between(u,w,v) ).
% 1.07/1.13
% 1.07/1.13 cnf(prove_uvw_colinear,negated_conjecture,
% 1.07/1.13 ~ colinear(u,v,w) ).
% 1.07/1.13
% 1.07/1.13 %--------------------------------------------------------------------------
% 1.07/1.13 %-------------------------------------------
% 1.07/1.13 % Proof found
% 1.07/1.13 % SZS status Theorem for theBenchmark
% 1.07/1.13 % SZS output start Proof
% 1.07/1.13 %ClaNum:124(EqnAxiom:38)
% 1.07/1.13 %VarNum:822(SingletonVarNum:294)
% 1.07/1.14 %MaxLitNum:8
% 1.07/1.14 %MaxfuncDepth:2
% 1.07/1.14 %SharedTerms:14
% 1.07/1.14 %goalClause: 62
% 1.07/1.14 %singleGoalClaCount:1
% 1.07/1.14 [39]P1(a1,a10,a11)
% 1.07/1.14 [56]~E(a8,a6)
% 1.07/1.14 [57]~E(a9,a6)
% 1.07/1.14 [58]~E(a9,a8)
% 1.07/1.14 [59]~P1(a6,a8,a9)
% 1.07/1.14 [60]~P1(a8,a9,a6)
% 1.07/1.14 [61]~P1(a9,a6,a8)
% 1.07/1.14 [62]~P3(a1,a11,a10)
% 1.07/1.14 [40]P1(x401,x402,x402)
% 1.07/1.14 [41]P1(x411,x411,x412)
% 1.07/1.14 [42]P2(x421,x422,x422,x421)
% 1.07/1.14 [43]P2(x431,x432,x431,x432)
% 1.07/1.14 [44]P2(x441,x441,x442,x442)
% 1.07/1.14 [63]~E(f2(x631,x632,a6,a8),x632)
% 1.07/1.14 [53]E(f2(f2(x531,x532,x531,x532),x532,f2(x531,x532,x531,x532),x532),x531)
% 1.07/1.14 [55]P2(x551,x552,x551,f2(f2(x552,x551,x552,x551),x551,f2(x552,x551,x552,x551),x551))
% 1.07/1.14 [45]E(f2(x451,x452,x453,x453),x452)
% 1.07/1.14 [48]P1(x481,x482,f2(x481,x482,x483,x484))
% 1.07/1.14 [50]P2(x501,f2(x502,x501,x503,x504),x503,x504)
% 1.07/1.14 [52]P2(x521,f2(x522,x521,a6,a8),x523,f2(x524,x523,a6,a8))
% 1.07/1.14 [54]P2(x541,x542,x543,f2(f2(x544,x543,a6,a8),x543,x541,x542))
% 1.07/1.14 [64]~P1(x641,x642,x641)+E(x641,x642)
% 1.07/1.14 [80]~E(x801,x802)+E(f2(x801,x802,x801,x802),x802)
% 1.07/1.14 [89]E(x891,x892)+~E(f2(x892,x891,x892,x891),x891)
% 1.07/1.14 [92]E(x921,x922)+E(f2(x921,x922,x921,x922),f2(x921,x922,x922,x921))
% 1.07/1.14 [65]~P1(x653,x652,x651)+P1(x651,x652,x653)
% 1.07/1.14 [66]~P1(x662,x663,x661)+P3(x661,x662,x663)
% 1.07/1.14 [67]~P1(x673,x671,x672)+P3(x671,x672,x673)
% 1.07/1.14 [68]~P1(x681,x682,x683)+P3(x681,x682,x683)
% 1.07/1.14 [88]~P2(x881,x882,x883,x883)+E(x881,x882)
% 1.07/1.14 [101]~P1(x1012,x1013,x1011)+E(f2(f2(x1011,x1012,a6,a8),x1012,x1012,x1013),x1013)
% 1.07/1.14 [94]~P2(x944,x943,x942,x941)+P2(x941,x942,x943,x944)
% 1.07/1.14 [95]~P2(x953,x954,x952,x951)+P2(x951,x952,x953,x954)
% 1.07/1.14 [96]~P2(x964,x963,x961,x962)+P2(x961,x962,x963,x964)
% 1.07/1.14 [97]~P2(x973,x974,x971,x972)+P2(x971,x972,x973,x974)
% 1.07/1.14 [98]~P2(x982,x981,x984,x983)+P2(x981,x982,x983,x984)
% 1.07/1.14 [99]~P2(x992,x991,x993,x994)+P2(x991,x992,x993,x994)
% 1.07/1.14 [100]~P2(x1001,x1002,x1004,x1003)+P2(x1001,x1002,x1003,x1004)
% 1.07/1.14 [90]P1(x901,x902,x903)+~E(x903,f2(x901,x902,x904,x905))
% 1.07/1.14 [111]~P2(x1113,x1114,x1115,x1116)+E(f2(f2(x1111,x1112,a6,a8),x1112,x1113,x1114),f2(f2(x1111,x1112,a6,a8),x1112,x1115,x1116))
% 1.07/1.14 [70]~P1(x703,x701,x702)+E(x701,x702)+~P1(x703,x702,x701)
% 1.07/1.14 [71]~P1(x711,x712,x713)+E(x711,x712)+~P1(x712,x711,x713)
% 1.07/1.14 [91]~P2(x913,x911,x913,x912)+E(x911,x912)+~P1(x913,x911,x912)
% 1.07/1.14 [87]~P1(x871,x872,x873)+E(x871,x872)+E(f2(x871,x872,x872,x873),x873)
% 1.07/1.14 [69]~P1(x694,x692,x693)+P1(x691,x692,x693)+~E(x694,x693)
% 1.07/1.14 [74]~P1(x744,x741,x742)+P1(x741,x742,x743)+~P1(x744,x742,x743)
% 1.07/1.14 [75]~P1(x751,x754,x753)+P1(x751,x752,x753)+~P1(x754,x752,x753)
% 1.07/1.14 [76]~P1(x761,x762,x764)+P1(x761,x762,x763)+~P1(x761,x764,x763)
% 1.07/1.14 [117]~P1(x1175,x1171,x1174)+~P1(x1172,x1173,x1174)+P1(x1171,f7(x1172,x1173,x1174,x1171,x1175),x1172)
% 1.07/1.14 [118]~P1(x1185,x1184,x1183)+~P1(x1182,x1181,x1183)+P1(x1181,f7(x1182,x1181,x1183,x1184,x1185),x1185)
% 1.07/1.14 [115]~P2(x1153,x1155,x1151,x1152)+~P1(x1153,x1154,x1155)+P1(x1151,f2(f2(x1152,x1151,a6,a8),x1151,x1153,x1154),x1152)
% 1.07/1.14 [116]~P1(x1165,x1161,x1162)+~P2(x1165,x1162,x1164,x1163)+P2(x1161,x1162,f2(f2(x1163,x1164,a6,a8),x1164,x1165,x1161),x1163)
% 1.07/1.14 [105]~P2(x1055,x1056,x1051,x1052)+P2(x1051,x1052,x1053,x1054)+~P2(x1055,x1056,x1053,x1054)
% 1.07/1.14 [106]~P2(x1061,x1062,x1065,x1066)+P2(x1061,x1062,x1063,x1064)+~P2(x1065,x1066,x1063,x1064)
% 1.07/1.14 [104]~P2(x1043,x1044,x1045,x1046)+E(x1041,x1042)+E(f2(x1041,x1042,x1043,x1044),f2(x1041,x1042,x1045,x1046))
% 1.07/1.14 [79]P1(x793,x791,x792)+P1(x792,x793,x791)+~P3(x792,x793,x791)+P1(x791,x792,x793)
% 1.07/1.14 [77]~P1(x771,x772,x774)+~P1(x773,x771,x772)+E(x771,x772)+P1(x773,x772,x774)
% 1.07/1.14 [78]~P1(x781,x782,x784)+~P1(x783,x781,x782)+E(x781,x782)+P1(x783,x781,x784)
% 1.07/1.14 [81]P1(x812,x811,x813)+~P1(x814,x812,x813)+P1(x811,x812,x813)+~P1(x814,x811,x813)
% 1.07/1.14 [82]P1(x821,x823,x822)+~P1(x821,x823,x824)+P1(x821,x822,x823)+~P1(x821,x822,x824)
% 1.07/1.14 [102]~P2(x1024,x1021,x1024,x1022)+~P2(x1023,x1021,x1023,x1022)+E(x1021,x1022)+~P1(x1023,x1021,x1024)
% 1.07/1.14 [86]~P1(x861,x865,x863)+~P1(x861,x864,x863)+P1(x861,x862,x863)+~P1(x864,x862,x865)
% 1.07/1.14 [119]~P1(x1194,x1192,x1193)+~P1(x1191,x1192,x1195)+E(x1191,x1192)+P1(x1191,x1193,f3(x1191,x1194,x1192,x1193,x1195))
% 1.07/1.14 [120]~P1(x1203,x1202,x1204)+~P1(x1201,x1202,x1205)+E(x1201,x1202)+P1(x1201,x1203,f4(x1201,x1203,x1202,x1204,x1205))
% 1.07/1.14 [121]~P1(x1213,x1212,x1214)+~P1(x1211,x1212,x1215)+E(x1211,x1212)+P1(f4(x1211,x1213,x1212,x1214,x1215),x1215,f3(x1211,x1213,x1212,x1214,x1215))
% 1.07/1.14 [83]P1(x834,x833,x831)+~P1(x833,x831,x832)+~P1(x834,x831,x832)+E(x831,x832)+P1(x833,x834,x831)
% 1.07/1.14 [84]P1(x842,x844,x843)+~P1(x841,x842,x843)+~P1(x841,x842,x844)+E(x841,x842)+P1(x842,x843,x844)
% 1.07/1.14 [85]P1(x851,x854,x853)+~P1(x851,x852,x853)+~P1(x851,x852,x854)+E(x851,x852)+P1(x851,x853,x854)
% 1.07/1.14 [93]~P1(x933,x934,x932)+~P1(x933,x934,x931)+~P2(x934,x931,x934,x932)+E(x931,x932)+E(x933,x934)
% 1.07/1.14 [103]~P1(x1033,x1034,x1031)+~P2(x1034,x1031,x1034,x1032)+~P2(x1033,x1031,x1033,x1032)+E(x1031,x1032)+E(x1033,x1034)
% 1.07/1.14 [107]~P2(x1076,x1072,x1075,x1074)+~P2(x1076,x1071,x1075,x1073)+P2(x1071,x1072,x1073,x1074)+~P1(x1075,x1073,x1074)+~P1(x1076,x1071,x1072)
% 1.07/1.14 [108]~P2(x1086,x1082,x1085,x1084)+~P2(x1081,x1086,x1083,x1085)+P2(x1081,x1082,x1083,x1084)+~P1(x1083,x1085,x1084)+~P1(x1081,x1086,x1082)
% 1.07/1.14 [109]~P2(x1095,x1096,x1092,x1093)+~P2(x1094,x1096,x1091,x1093)+~P2(x1094,x1095,x1091,x1092)+P1(x1091,x1092,x1093)+~P1(x1094,x1095,x1096)
% 1.07/1.14 [122]~P1(x1223,x1224,x1225)+~P1(x1222,x1223,x1225)+~P2(x1222,x1225,x1222,x1226)+~P2(x1222,x1223,x1222,x1221)+P1(x1221,f5(x1222,x1223,x1221,x1224,x1225,x1226),x1226)
% 1.07/1.14 [123]~P1(x1233,x1232,x1235)+~P1(x1231,x1233,x1235)+~P2(x1231,x1235,x1231,x1236)+~P2(x1231,x1233,x1231,x1234)+P2(x1231,x1232,x1231,f5(x1231,x1233,x1234,x1232,x1235,x1236))
% 1.07/1.14 [124]~P1(x1244,x1242,x1245)+~P1(x1243,x1241,x1244)+~P1(x1243,x1246,x1245)+P1(x1241,f7(x1242,f7(x1243,x1241,x1244,x1242,x1245),x1243,x1246,x1245),x1245)+P1(x1246,f7(x1242,f7(x1243,x1241,x1244,x1242,x1245),x1243,x1246,x1245),x1242)
% 1.07/1.14 [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)
% 1.07/1.14 [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)
% 1.07/1.14 [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)
% 1.07/1.14 [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)
% 1.07/1.14 %EqnAxiom
% 1.07/1.14 [1]E(x11,x11)
% 1.07/1.14 [2]E(x22,x21)+~E(x21,x22)
% 1.07/1.14 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.07/1.14 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 1.07/1.14 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 1.07/1.14 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 1.07/1.14 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 1.07/1.14 [8]~E(x81,x82)+E(f7(x81,x83,x84,x85,x86),f7(x82,x83,x84,x85,x86))
% 1.07/1.14 [9]~E(x91,x92)+E(f7(x93,x91,x94,x95,x96),f7(x93,x92,x94,x95,x96))
% 1.07/1.14 [10]~E(x101,x102)+E(f7(x103,x104,x101,x105,x106),f7(x103,x104,x102,x105,x106))
% 1.07/1.14 [11]~E(x111,x112)+E(f7(x113,x114,x115,x111,x116),f7(x113,x114,x115,x112,x116))
% 1.07/1.14 [12]~E(x121,x122)+E(f7(x123,x124,x125,x126,x121),f7(x123,x124,x125,x126,x122))
% 1.07/1.14 [13]~E(x131,x132)+E(f3(x131,x133,x134,x135,x136),f3(x132,x133,x134,x135,x136))
% 1.07/1.14 [14]~E(x141,x142)+E(f3(x143,x141,x144,x145,x146),f3(x143,x142,x144,x145,x146))
% 1.07/1.14 [15]~E(x151,x152)+E(f3(x153,x154,x151,x155,x156),f3(x153,x154,x152,x155,x156))
% 1.07/1.14 [16]~E(x161,x162)+E(f3(x163,x164,x165,x161,x166),f3(x163,x164,x165,x162,x166))
% 1.07/1.14 [17]~E(x171,x172)+E(f3(x173,x174,x175,x176,x171),f3(x173,x174,x175,x176,x172))
% 1.07/1.14 [18]~E(x181,x182)+E(f4(x181,x183,x184,x185,x186),f4(x182,x183,x184,x185,x186))
% 1.07/1.14 [19]~E(x191,x192)+E(f4(x193,x191,x194,x195,x196),f4(x193,x192,x194,x195,x196))
% 1.07/1.14 [20]~E(x201,x202)+E(f4(x203,x204,x201,x205,x206),f4(x203,x204,x202,x205,x206))
% 1.07/1.14 [21]~E(x211,x212)+E(f4(x213,x214,x215,x211,x216),f4(x213,x214,x215,x212,x216))
% 1.07/1.14 [22]~E(x221,x222)+E(f4(x223,x224,x225,x226,x221),f4(x223,x224,x225,x226,x222))
% 1.07/1.14 [23]~E(x231,x232)+E(f5(x231,x233,x234,x235,x236,x237),f5(x232,x233,x234,x235,x236,x237))
% 1.07/1.14 [24]~E(x241,x242)+E(f5(x243,x241,x244,x245,x246,x247),f5(x243,x242,x244,x245,x246,x247))
% 1.07/1.14 [25]~E(x251,x252)+E(f5(x253,x254,x251,x255,x256,x257),f5(x253,x254,x252,x255,x256,x257))
% 1.07/1.14 [26]~E(x261,x262)+E(f5(x263,x264,x265,x261,x266,x267),f5(x263,x264,x265,x262,x266,x267))
% 1.07/1.14 [27]~E(x271,x272)+E(f5(x273,x274,x275,x276,x271,x277),f5(x273,x274,x275,x276,x272,x277))
% 1.07/1.14 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x287,x281),f5(x283,x284,x285,x286,x287,x282))
% 1.07/1.14 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 1.07/1.14 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 1.07/1.14 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 1.07/1.14 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 1.07/1.14 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 1.07/1.14 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 1.07/1.14 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 1.07/1.14 [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 1.07/1.14 [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 1.07/1.14 [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 1.07/1.14
% 1.07/1.14 %-------------------------------------------
% 1.07/1.14 cnf(125,plain,
% 1.07/1.14 (E(x1251,f2(x1252,x1251,x1253,x1253))),
% 1.07/1.14 inference(scs_inference,[],[45,2])).
% 1.07/1.14 cnf(126,plain,
% 1.07/1.14 (~P2(a8,a6,x1261,x1261)),
% 1.07/1.14 inference(scs_inference,[],[56,45,2,88])).
% 1.07/1.14 cnf(132,plain,
% 1.07/1.14 (~P1(a11,a10,a1)),
% 1.07/1.14 inference(scs_inference,[],[62,56,45,2,88,68,67,66])).
% 1.07/1.14 cnf(139,plain,
% 1.07/1.14 (E(f2(x1391,x1392,x1393,x1393),x1392)),
% 1.07/1.14 inference(rename_variables,[],[45])).
% 1.07/1.14 cnf(145,plain,
% 1.07/1.14 (P2(x1451,x1451,x1452,x1452)),
% 1.07/1.14 inference(rename_variables,[],[44])).
% 1.07/1.14 cnf(149,plain,
% 1.07/1.14 (P2(x1491,f2(x1492,x1491,x1493,x1494),x1493,x1494)),
% 1.07/1.14 inference(rename_variables,[],[50])).
% 1.07/1.14 cnf(150,plain,
% 1.07/1.14 (P2(x1501,f2(x1502,f2(x1503,x1501,x1504,x1504),x1505,x1506),x1505,x1506)),
% 1.07/1.14 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])).
% 1.07/1.14 cnf(151,plain,
% 1.07/1.14 (P2(x1511,f2(x1512,x1511,x1513,x1514),x1513,x1514)),
% 1.07/1.14 inference(rename_variables,[],[50])).
% 1.07/1.14 cnf(153,plain,
% 1.07/1.14 (P1(x1531,x1532,x1532)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(154,plain,
% 1.07/1.14 (P1(x1541,x1542,f2(x1541,f2(x1543,x1542,x1544,x1544),x1545,x1546))),
% 1.07/1.14 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])).
% 1.07/1.14 cnf(155,plain,
% 1.07/1.14 (P1(x1551,x1552,f2(x1551,x1552,x1553,x1554))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(157,plain,
% 1.07/1.14 (P1(x1571,x1572,f2(x1571,x1572,x1573,x1574))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(159,plain,
% 1.07/1.14 (E(f2(x1591,x1592,x1593,x1593),x1592)),
% 1.07/1.14 inference(rename_variables,[],[45])).
% 1.07/1.14 cnf(161,plain,
% 1.07/1.14 (P2(x1611,f2(x1612,x1611,x1613,x1614),x1613,x1614)),
% 1.07/1.14 inference(rename_variables,[],[50])).
% 1.07/1.14 cnf(162,plain,
% 1.07/1.14 (P2(x1621,x1622,x1622,x1621)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(166,plain,
% 1.07/1.14 (P2(x1661,x1662,x1662,x1661)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(169,plain,
% 1.07/1.14 (P1(x1691,x1691,x1692)),
% 1.07/1.14 inference(rename_variables,[],[41])).
% 1.07/1.14 cnf(172,plain,
% 1.07/1.14 (P1(x1721,x1722,x1722)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(175,plain,
% 1.07/1.14 (P1(x1751,x1751,x1752)),
% 1.07/1.14 inference(rename_variables,[],[41])).
% 1.07/1.14 cnf(180,plain,
% 1.07/1.14 (P1(x1801,x1802,x1802)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(181,plain,
% 1.07/1.14 (P1(x1811,x1811,x1812)),
% 1.07/1.14 inference(rename_variables,[],[41])).
% 1.07/1.14 cnf(182,plain,
% 1.07/1.14 (P2(x1821,x1822,x1822,x1821)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(185,plain,
% 1.07/1.14 (P1(x1851,x1852,x1852)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(190,plain,
% 1.07/1.14 (P1(x1901,x1902,x1902)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(191,plain,
% 1.07/1.14 (P1(x1911,x1912,f2(x1911,x1912,x1913,x1914))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(192,plain,
% 1.07/1.14 (P2(x1921,x1922,x1922,x1921)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(193,plain,
% 1.07/1.14 (P2(x1931,f2(x1932,x1931,x1933,x1934),x1933,x1934)),
% 1.07/1.14 inference(rename_variables,[],[50])).
% 1.07/1.14 cnf(194,plain,
% 1.07/1.14 (P2(x1941,x1942,x1943,f2(f2(x1944,x1943,a6,a8),x1943,x1941,x1942))),
% 1.07/1.14 inference(rename_variables,[],[54])).
% 1.07/1.14 cnf(202,plain,
% 1.07/1.14 (P2(x2021,x2022,x2023,f2(x2024,x2023,x2021,x2022))),
% 1.07/1.14 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])).
% 1.07/1.14 cnf(204,plain,
% 1.07/1.14 (P2(x2041,x2042,f2(x2043,x2044,x2041,x2042),x2044)),
% 1.07/1.14 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])).
% 1.07/1.14 cnf(244,plain,
% 1.07/1.14 (~P3(a1,f2(f2(a11,x2441,a11,x2441),x2441,f2(a11,x2441,a11,x2441),x2441),a10)),
% 1.07/1.14 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])).
% 1.07/1.14 cnf(250,plain,
% 1.07/1.14 (P1(x2501,x2502,x2502)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(254,plain,
% 1.07/1.14 (P1(x2541,f7(x2542,x2541,x2541,x2541,x2542),x2542)),
% 1.07/1.14 inference(scs_inference,[],[62,42,162,166,182,192,44,145,40,153,172,180,185,190,250,41,169,175,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,45,139,159,63,52,54,194,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118])).
% 1.07/1.14 cnf(257,plain,
% 1.07/1.14 (P1(x2571,x2571,x2572)),
% 1.07/1.14 inference(rename_variables,[],[41])).
% 1.07/1.14 cnf(260,plain,
% 1.07/1.14 (P1(x2601,x2602,x2602)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(263,plain,
% 1.07/1.14 (P2(x2631,x2632,x2632,x2631)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(269,plain,
% 1.07/1.14 (P1(x2691,x2692,x2692)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(271,plain,
% 1.07/1.14 (~P1(a9,a8,f2(a9,f2(a8,a6,x2711,x2711),a6,a6))),
% 1.07/1.14 inference(scs_inference,[],[62,42,162,166,182,192,263,44,145,40,153,172,180,185,190,250,260,41,169,175,181,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,45,139,159,63,52,54,194,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118,117,116,115,104,86,82])).
% 1.07/1.14 cnf(275,plain,
% 1.07/1.14 (P1(x2751,x2752,x2752)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(279,plain,
% 1.07/1.14 (P1(x2791,x2792,x2792)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(282,plain,
% 1.07/1.14 (P1(x2821,x2822,x2822)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(283,plain,
% 1.07/1.14 (P2(x2831,x2832,x2832,x2831)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(285,plain,
% 1.07/1.14 (P2(x2851,x2851,x2851,f5(x2851,x2851,x2851,x2851,x2851,x2851))),
% 1.07/1.14 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])).
% 1.07/1.14 cnf(288,plain,
% 1.07/1.14 (P1(x2881,x2882,x2882)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(289,plain,
% 1.07/1.14 (P2(x2891,x2892,x2892,x2891)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(291,plain,
% 1.07/1.14 (P1(x2911,f5(x2911,x2911,x2911,x2911,x2911,x2911),x2911)),
% 1.07/1.14 inference(scs_inference,[],[62,42,162,166,182,192,263,283,289,44,145,40,153,172,180,185,190,250,260,269,275,279,282,288,41,169,175,181,39,56,57,59,60,61,50,149,151,161,193,48,155,157,191,45,139,159,63,52,54,194,53,2,88,68,67,66,65,64,90,80,35,34,33,32,31,30,29,3,106,105,91,71,70,79,107,93,83,112,100,99,98,97,96,95,94,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,111,89,101,92,38,37,36,76,75,69,118,117,116,115,104,86,82,119,121,108,123,122])).
% 1.07/1.14 cnf(292,plain,
% 1.07/1.14 (P1(x2921,x2922,x2922)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(294,plain,
% 1.07/1.14 (P1(x2941,x2942,x2942)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(295,plain,
% 1.07/1.14 (P2(x2951,x2952,x2952,x2951)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(305,plain,
% 1.07/1.14 (P1(x3051,x3052,x3052)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(309,plain,
% 1.07/1.14 (P1(x3091,x3092,x3092)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(314,plain,
% 1.07/1.14 (P1(x3141,f7(x3141,f7(x3141,x3141,x3141,x3141,x3141),x3141,x3141,x3141),x3141)),
% 1.07/1.14 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])).
% 1.07/1.14 cnf(333,plain,
% 1.07/1.14 (P1(f2(x3331,x3332,x3333,x3334),x3332,x3331)),
% 1.07/1.14 inference(scs_inference,[],[40,48,68,67,65])).
% 1.07/1.14 cnf(336,plain,
% 1.07/1.14 (P2(x3361,f2(x3362,x3361,x3363,x3364),x3363,x3364)),
% 1.07/1.14 inference(rename_variables,[],[50])).
% 1.07/1.14 cnf(337,plain,
% 1.07/1.14 (P1(x3371,x3372,x3372)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(342,plain,
% 1.07/1.14 (P2(x3421,x3422,x3422,x3421)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(347,plain,
% 1.07/1.14 (P1(x3471,x3472,x3472)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(348,plain,
% 1.07/1.14 (P2(x3481,x3482,x3482,x3481)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(352,plain,
% 1.07/1.14 (P1(x3521,x3522,x3522)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(353,plain,
% 1.07/1.14 (P2(x3531,f2(x3532,x3531,x3533,x3534),x3533,x3534)),
% 1.07/1.14 inference(rename_variables,[],[50])).
% 1.07/1.14 cnf(354,plain,
% 1.07/1.14 (P1(x3541,x3541,x3542)),
% 1.07/1.14 inference(rename_variables,[],[41])).
% 1.07/1.14 cnf(359,plain,
% 1.07/1.14 (P1(x3591,x3592,x3592)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(360,plain,
% 1.07/1.14 (P1(x3601,x3602,x3602)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(368,plain,
% 1.07/1.14 (P1(x3681,x3682,x3682)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(375,plain,
% 1.07/1.14 (~E(x3751,f2(x3752,x3751,a6,a8))),
% 1.07/1.14 inference(scs_inference,[],[125,58,42,342,40,337,347,352,360,41,50,336,48,63,53,60,39,314,285,291,204,126,68,67,65,116,104,108,107,123,64,119,98,80,71,96,69,2])).
% 1.07/1.14 cnf(387,plain,
% 1.07/1.14 (P1(x3871,x3872,x3872)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(394,plain,
% 1.07/1.14 (P2(x3941,x3942,x3942,x3941)),
% 1.07/1.14 inference(rename_variables,[],[42])).
% 1.07/1.14 cnf(398,plain,
% 1.07/1.14 (P1(x3981,x3981,x3982)),
% 1.07/1.14 inference(rename_variables,[],[41])).
% 1.07/1.14 cnf(401,plain,
% 1.07/1.14 (P1(x4011,x4012,x4012)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(410,plain,
% 1.07/1.14 (P1(x4101,x4102,x4102)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(411,plain,
% 1.07/1.14 (P1(x4111,x4112,x4112)),
% 1.07/1.14 inference(rename_variables,[],[40])).
% 1.07/1.14 cnf(413,plain,
% 1.07/1.14 (P1(x4131,f5(x4132,f2(x4133,x4132,x4132,x4131),x4131,f2(x4133,x4132,x4132,x4131),f2(x4133,x4132,x4132,x4131),x4131),x4131)),
% 1.07/1.14 inference(scs_inference,[],[125,58,42,342,348,394,40,337,347,352,360,368,387,411,410,359,401,41,354,398,50,336,353,48,63,52,53,60,39,314,285,291,254,202,204,150,154,126,68,67,65,116,104,108,107,123,64,119,98,80,71,96,69,2,88,66,91,102,90,106,70,118,117,115,121,122])).
% 1.07/1.14 cnf(508,plain,
% 1.07/1.14 (P1(x5081,x5082,f2(x5081,x5082,x5083,x5084))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(511,plain,
% 1.07/1.14 (P1(x5111,x5112,f2(x5111,x5112,x5113,x5114))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(515,plain,
% 1.07/1.14 (~P1(a8,a6,a9)),
% 1.07/1.14 inference(scs_inference,[],[39,57,48,508,61,244,74,87,68,65])).
% 1.07/1.14 cnf(522,plain,
% 1.07/1.14 (P2(x5221,x5222,x5221,f2(f2(x5222,x5221,x5222,x5221),x5221,f2(x5222,x5221,x5222,x5221),x5221))),
% 1.07/1.14 inference(rename_variables,[],[55])).
% 1.07/1.14 cnf(527,plain,
% 1.07/1.14 (P1(x5271,x5272,f2(x5271,x5272,x5273,x5274))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(533,plain,
% 1.07/1.14 (~E(f2(x5331,x5332,a6,a8),x5332)),
% 1.07/1.14 inference(rename_variables,[],[63])).
% 1.07/1.14 cnf(540,plain,
% 1.07/1.14 (~P1(f2(x5401,x5402,a6,a8),x5402,f2(x5401,x5402,a6,a8))),
% 1.07/1.14 inference(scs_inference,[],[39,41,55,522,43,57,63,533,48,508,511,527,40,59,61,413,333,244,271,74,87,68,65,71,123,76,99,120,86,67,64])).
% 1.07/1.14 cnf(693,plain,
% 1.07/1.14 (~E(f2(x6931,x6932,a6,a8),x6932)),
% 1.07/1.14 inference(rename_variables,[],[63])).
% 1.07/1.14 cnf(694,plain,
% 1.07/1.14 (P1(f2(x6941,x6942,x6943,x6944),x6942,x6941)),
% 1.07/1.14 inference(rename_variables,[],[333])).
% 1.07/1.14 cnf(697,plain,
% 1.07/1.14 (~E(f2(x6971,x6972,a6,a8),x6972)),
% 1.07/1.14 inference(rename_variables,[],[63])).
% 1.07/1.14 cnf(698,plain,
% 1.07/1.14 (~P1(f2(x6981,x6982,a6,a8),x6982,f2(x6981,x6982,a6,a8))),
% 1.07/1.14 inference(rename_variables,[],[540])).
% 1.07/1.14 cnf(703,plain,
% 1.07/1.14 (P1(x7031,x7032,f2(x7031,x7032,x7033,x7034))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(706,plain,
% 1.07/1.14 (P1(x7061,x7062,f2(x7061,x7062,x7063,x7064))),
% 1.07/1.14 inference(rename_variables,[],[48])).
% 1.07/1.14 cnf(718,plain,
% 1.07/1.14 ($false),
% 1.07/1.14 inference(scs_inference,[],[39,44,41,55,63,693,697,48,703,706,59,515,540,698,132,333,694,375,77,78,83,74,68,71,123,65]),
% 1.07/1.14 ['proof']).
% 1.07/1.14 % SZS output end Proof
% 1.07/1.14 % Total time :0.490000s
%------------------------------------------------------------------------------