TSTP Solution File: GEO011-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO011-3 : 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 : n028.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 22:42:23 EDT 2023
% Result : Unsatisfiable 0.53s 0.68s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.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 22:59:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 % File :CSE---1.6
% 0.53/0.66 % Problem :theBenchmark
% 0.53/0.66 % Transform :cnf
% 0.53/0.66 % Format :tptp:raw
% 0.53/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.66
% 0.53/0.66 % Result :Theorem 0.020000s
% 0.53/0.66 % Output :CNFRefutation 0.020000s
% 0.53/0.66 %-------------------------------------------
% 0.53/0.67 %--------------------------------------------------------------------------
% 0.53/0.67 % File : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.53/0.67 % Domain : Geometry
% 0.53/0.67 % Problem : The axiom set points are not collinear
% 0.53/0.67 % Version : [Qua89] axioms : Augmented.
% 0.53/0.67 % English :
% 0.53/0.67
% 0.53/0.67 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.53/0.67 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.53/0.67 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.53/0.67 % Source : [Qua89]
% 0.53/0.67 % Names : T11 [Qua89]
% 0.53/0.67
% 0.53/0.67 % Status : Unsatisfiable
% 0.53/0.67 % Rating : 0.10 v8.1.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.25 v5.4.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.27 v4.0.0, 0.09 v3.7.0, 0.00 v2.0.0
% 0.53/0.67 % Syntax : Number of clauses : 96 ( 26 unt; 21 nHn; 74 RR)
% 0.53/0.67 % Number of literals : 260 ( 47 equ; 144 neg)
% 0.53/0.67 % Maximal clause size : 8 ( 2 avg)
% 0.53/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.67 % Number of predicates : 4 ( 3 usr; 0 prp; 2-4 aty)
% 0.53/0.67 % Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% 0.53/0.67 % Number of variables : 341 ( 14 sgn)
% 0.53/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.53/0.67
% 0.53/0.67 % Comments :
% 0.53/0.67 % Bugfixes : v1.2.1 - Clause d12 fixed.
% 0.53/0.67 %--------------------------------------------------------------------------
% 0.53/0.67 %----Include Tarski geometry axioms
% 0.53/0.67 include('Axioms/GEO002-0.ax').
% 0.53/0.67 %----Include Tarski geometry axioms for colinearity
% 0.53/0.67 include('Axioms/GEO002-1.ax').
% 0.53/0.67 %----Include definition of reflection
% 0.53/0.67 include('Axioms/GEO002-2.ax').
% 0.53/0.67 %----Include definition of insertion
% 0.53/0.67 include('Axioms/GEO002-3.ax').
% 0.53/0.67 %--------------------------------------------------------------------------
% 0.53/0.67 cnf(d1,axiom,
% 0.53/0.67 equidistant(U,V,U,V) ).
% 0.53/0.67
% 0.53/0.67 cnf(d2,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | equidistant(W,X,U,V) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d3,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | equidistant(V,U,W,X) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d4_1,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | equidistant(U,V,X,W) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d4_2,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | equidistant(V,U,X,W) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d4_3,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | equidistant(W,X,V,U) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d4_4,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | equidistant(X,W,U,V) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d4_5,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | equidistant(X,W,V,U) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d5,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,W,X)
% 0.53/0.67 | ~ equidistant(W,X,Y,Z)
% 0.53/0.67 | equidistant(U,V,Y,Z) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(e1,axiom,
% 0.53/0.67 V = extension(U,V,W,W) ).
% 0.53/0.67
% 0.53/0.67 cnf(b0,axiom,
% 0.53/0.67 ( Y != extension(U,V,W,X)
% 0.53/0.67 | between(U,V,Y) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(r2_1,axiom,
% 0.53/0.67 between(U,V,reflection(U,V)) ).
% 0.53/0.67
% 0.53/0.67 cnf(r2_2,axiom,
% 0.53/0.67 equidistant(V,reflection(U,V),U,V) ).
% 0.53/0.67
% 0.53/0.67 cnf(r3_1,axiom,
% 0.53/0.67 ( U != V
% 0.53/0.67 | V = reflection(U,V) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(r3_2,axiom,
% 0.53/0.67 U = reflection(U,U) ).
% 0.53/0.67
% 0.53/0.67 cnf(r4,axiom,
% 0.53/0.67 ( V != reflection(U,V)
% 0.53/0.67 | U = V ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d7,axiom,
% 0.53/0.67 equidistant(U,U,V,V) ).
% 0.53/0.67
% 0.53/0.67 cnf(d8,axiom,
% 0.53/0.67 ( ~ equidistant(U,V,U1,V1)
% 0.53/0.67 | ~ equidistant(V,W,V1,W1)
% 0.53/0.67 | ~ between(U,V,W)
% 0.53/0.67 | ~ between(U1,V1,W1)
% 0.53/0.67 | equidistant(U,W,U1,W1) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d9,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | ~ between(U,V,X)
% 0.53/0.67 | ~ equidistant(V,W,V,X)
% 0.53/0.67 | U = V
% 0.53/0.67 | W = X ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d10_1,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | U = V
% 0.53/0.67 | W = extension(U,V,V,W) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d10_2,axiom,
% 0.53/0.67 ( ~ equidistant(W,X,Y,Z)
% 0.53/0.67 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.53/0.67 | U = V ) ).
% 0.53/0.67
% 0.53/0.67 cnf(d10_3,axiom,
% 0.53/0.67 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.53/0.67 | U = V ) ).
% 0.53/0.67
% 0.53/0.67 cnf(r5,axiom,
% 0.53/0.67 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.53/0.67
% 0.53/0.67 cnf(r6,axiom,
% 0.53/0.67 U = reflection(reflection(U,V),V) ).
% 0.53/0.67
% 0.53/0.67 cnf(t3,axiom,
% 0.53/0.67 between(U,V,V) ).
% 0.53/0.67
% 0.53/0.67 cnf(b1,axiom,
% 0.53/0.67 ( ~ between(U,W,X)
% 0.53/0.67 | U != X
% 0.53/0.67 | between(V,W,X) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(t1,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | between(W,V,U) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(t2,axiom,
% 0.53/0.67 between(U,U,V) ).
% 0.53/0.67
% 0.53/0.67 cnf(b2,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | ~ between(V,U,W)
% 0.53/0.67 | U = V ) ).
% 0.53/0.67
% 0.53/0.67 cnf(b3,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | ~ between(U,W,V)
% 0.53/0.67 | V = W ) ).
% 0.53/0.67
% 0.53/0.67 cnf(t6_1,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | ~ between(V,U,W)
% 0.53/0.67 | U = V
% 0.53/0.67 | V = W ) ).
% 0.53/0.67
% 0.53/0.67 cnf(t6_2,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | ~ between(U,W,V)
% 0.53/0.67 | U = V
% 0.53/0.67 | V = W ) ).
% 0.53/0.67
% 0.53/0.67 cnf(b4,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | ~ between(V,W,X)
% 0.53/0.67 | between(U,V,W) ) ).
% 0.53/0.67
% 0.53/0.67 cnf(b5,axiom,
% 0.53/0.67 ( ~ between(U,V,W)
% 0.53/0.67 | ~ between(U,W,X)
% 0.53/0.68 | between(V,W,X) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b6,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ between(V,W,X)
% 0.53/0.68 | between(U,W,X)
% 0.53/0.68 | V = W ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b7,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ between(V,W,X)
% 0.53/0.68 | between(U,V,X)
% 0.53/0.68 | V = W ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b8,axiom,
% 0.53/0.68 ( ~ between(U,V,X)
% 0.53/0.68 | ~ between(V,W,X)
% 0.53/0.68 | between(U,W,X) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b9,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ between(U,W,X)
% 0.53/0.68 | between(U,V,X) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(e2_1,axiom,
% 0.53/0.68 lower_dimension_point_1 != lower_dimension_point_2 ).
% 0.53/0.68
% 0.53/0.68 cnf(e2_2,axiom,
% 0.53/0.68 lower_dimension_point_2 != lower_dimension_point_3 ).
% 0.53/0.68
% 0.53/0.68 cnf(e2_3,axiom,
% 0.53/0.68 lower_dimension_point_1 != lower_dimension_point_3 ).
% 0.53/0.68
% 0.53/0.68 cnf(e3_1,axiom,
% 0.53/0.68 V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ).
% 0.53/0.68
% 0.53/0.68 cnf(e3_2,axiom,
% 0.53/0.68 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)) ).
% 0.53/0.68
% 0.53/0.68 cnf(e3_3,axiom,
% 0.53/0.68 between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)) ).
% 0.53/0.68
% 0.53/0.68 cnf(b10,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ between(U1,V1,W)
% 0.53/0.68 | ~ between(U,X,U1)
% 0.53/0.68 | between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)
% 0.53/0.68 | between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(d11,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ equidistant(U,W,U,W1)
% 0.53/0.68 | ~ equidistant(V,W,V,W1)
% 0.53/0.68 | U = V
% 0.53/0.68 | W = W1 ) ).
% 0.53/0.68
% 0.53/0.68 cnf(d12,axiom,
% 0.53/0.68 ( ~ equidistant(U,V,U1,V1)
% 0.53/0.68 | ~ equidistant(U,W,U1,W1)
% 0.53/0.68 | ~ equidistant(U,X,U1,X1)
% 0.53/0.68 | ~ equidistant(W,X,W1,X1)
% 0.53/0.68 | ~ between(U,V,W)
% 0.53/0.68 | ~ between(U1,V1,W1)
% 0.53/0.68 | equidistant(V,X,V1,X1) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(d13,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ between(U1,V1,W1)
% 0.53/0.68 | ~ equidistant(U,V,U1,V1)
% 0.53/0.68 | ~ equidistant(U,W,U1,W1)
% 0.53/0.68 | equidistant(V,W,V1,W1) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(d14,axiom,
% 0.53/0.68 ( ~ equidistant(U,V,U1,V1)
% 0.53/0.68 | ~ equidistant(V,W,V1,W1)
% 0.53/0.68 | ~ equidistant(U,X,U1,X1)
% 0.53/0.68 | ~ equidistant(W,X,W1,X1)
% 0.53/0.68 | ~ between(U,V,W)
% 0.53/0.68 | ~ between(U1,V1,W1)
% 0.53/0.68 | equidistant(V,X,V1,X1) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(d15,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ equidistant(U,V,U,X)
% 0.53/0.68 | ~ equidistant(W,V,W,X)
% 0.53/0.68 | V = X ) ).
% 0.53/0.68
% 0.53/0.68 cnf(i2_1,axiom,
% 0.53/0.68 equidistant(U,V,U1,insertion(U1,W1,U,V)) ).
% 0.53/0.68
% 0.53/0.68 cnf(i2_2,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ equidistant(U,W,U1,W1)
% 0.53/0.68 | between(U1,insertion(U1,W1,U,V),W1) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(i2_3,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ equidistant(U,W,U1,W1)
% 0.53/0.68 | equidistant(V,W,insertion(U1,W1,U,V),W1) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(i3,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | V = insertion(U,W,U,V) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(i4,axiom,
% 0.53/0.68 ( ~ equidistant(W,X,Y,Z)
% 0.53/0.68 | insertion(U,V,W,X) = insertion(U,V,Y,Z) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b11,axiom,
% 0.53/0.68 ( ~ equidistant(U,V,U1,V1)
% 0.53/0.68 | ~ equidistant(V,W,V1,W1)
% 0.53/0.68 | ~ equidistant(U,W,U1,W1)
% 0.53/0.68 | ~ between(U,V,W)
% 0.53/0.68 | between(U1,V1,W1) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b12,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ between(U,V,X)
% 0.53/0.68 | U = V
% 0.53/0.68 | between(U,W,X)
% 0.53/0.68 | between(U,X,W) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b13,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ between(U,V,X)
% 0.53/0.68 | U = V
% 0.53/0.68 | between(V,W,X)
% 0.53/0.68 | between(V,X,W) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t7,axiom,
% 0.53/0.68 ( ~ between(U,W,X)
% 0.53/0.68 | ~ between(V,W,X)
% 0.53/0.68 | W = X
% 0.53/0.68 | between(U,V,W)
% 0.53/0.68 | between(V,U,W) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t9,axiom,
% 0.53/0.68 ( ~ between(U,V,X)
% 0.53/0.68 | ~ between(U,W,X)
% 0.53/0.68 | between(U,V,W)
% 0.53/0.68 | between(U,W,V) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b14,axiom,
% 0.53/0.68 ( ~ between(U,V,X)
% 0.53/0.68 | ~ between(U,W,X)
% 0.53/0.68 | between(V,W,X)
% 0.53/0.68 | between(W,V,X) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t8,axiom,
% 0.53/0.68 ( ~ between(U,V,Y)
% 0.53/0.68 | ~ between(V,W,X)
% 0.53/0.68 | ~ between(U,X,Y)
% 0.53/0.68 | between(U,W,Y) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(b15,axiom,
% 0.53/0.68 ( ~ between(U,V,W)
% 0.53/0.68 | ~ equidistant(U,V,U,W)
% 0.53/0.68 | V = W ) ).
% 0.53/0.68
% 0.53/0.68 cnf(c2_1,axiom,
% 0.53/0.68 ( ~ between(W,V,U)
% 0.53/0.68 | colinear(U,V,W) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(c2_2,axiom,
% 0.53/0.68 ( ~ between(U,W,V)
% 0.53/0.68 | colinear(U,V,W) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(c2_3,axiom,
% 0.53/0.68 ( ~ between(V,U,W)
% 0.53/0.68 | colinear(U,V,W) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t10_1,axiom,
% 0.53/0.68 ( ~ colinear(U,V,W)
% 0.53/0.68 | colinear(W,V,U) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t10_2,axiom,
% 0.53/0.68 ( ~ colinear(U,V,W)
% 0.53/0.68 | colinear(V,W,U) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t10_3,axiom,
% 0.53/0.68 ( ~ colinear(U,V,W)
% 0.53/0.68 | colinear(U,W,V) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t10_4,axiom,
% 0.53/0.68 ( ~ colinear(U,V,W)
% 0.53/0.68 | colinear(W,U,V) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(t10_5,axiom,
% 0.53/0.68 ( ~ colinear(U,V,W)
% 0.53/0.68 | colinear(V,U,W) ) ).
% 0.53/0.68
% 0.53/0.68 cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
% 0.53/0.68 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ).
% 0.53/0.68
% 0.53/0.68 %--------------------------------------------------------------------------
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 % Proof found
% 0.53/0.68 % SZS status Theorem for theBenchmark
% 0.53/0.68 % SZS output start Proof
% 0.53/0.68 %ClaNum:131(EqnAxiom:38)
% 0.53/0.68 %VarNum:870(SingletonVarNum:318)
% 0.53/0.68 %MaxLitNum:8
% 0.53/0.68 %MaxfuncDepth:2
% 0.53/0.68 %SharedTerms:10
% 0.53/0.68 %goalClause: 39
% 0.53/0.68 %singleGoalClaCount:1
% 0.53/0.68 [39]P1(a1,a7,a8)
% 0.53/0.68 [56]~E(a7,a1)
% 0.53/0.68 [57]~E(a8,a1)
% 0.53/0.68 [58]~E(a8,a7)
% 0.53/0.68 [59]~P2(a1,a7,a8)
% 0.53/0.68 [60]~P2(a7,a8,a1)
% 0.53/0.68 [61]~P2(a8,a1,a7)
% 0.53/0.68 [40]P2(x401,x402,x402)
% 0.53/0.68 [41]P2(x411,x411,x412)
% 0.53/0.68 [42]P3(x421,x422,x422,x421)
% 0.53/0.68 [43]P3(x431,x432,x431,x432)
% 0.53/0.68 [44]P3(x441,x441,x442,x442)
% 0.53/0.68 [62]~E(f2(x621,x622,a1,a7),x622)
% 0.53/0.68 [53]E(f2(f2(x531,x532,x531,x532),x532,f2(x531,x532,x531,x532),x532),x531)
% 0.53/0.68 [55]P3(x551,x552,x551,f2(f2(x552,x551,x552,x551),x551,f2(x552,x551,x552,x551),x551))
% 0.53/0.68 [45]E(f2(x451,x452,x453,x453),x452)
% 0.53/0.68 [48]P2(x481,x482,f2(x481,x482,x483,x484))
% 0.53/0.68 [50]P3(x501,f2(x502,x501,x503,x504),x503,x504)
% 0.53/0.68 [52]P3(x521,f2(x522,x521,a1,a7),x523,f2(x524,x523,a1,a7))
% 0.53/0.68 [54]P3(x541,x542,x543,f2(f2(x544,x543,a1,a7),x543,x541,x542))
% 0.53/0.68 [63]~P2(x631,x632,x631)+E(x631,x632)
% 0.53/0.68 [87]~E(x871,x872)+E(f2(x871,x872,x871,x872),x872)
% 0.53/0.68 [96]E(x961,x962)+~E(f2(x962,x961,x962,x961),x961)
% 0.53/0.69 [99]E(x991,x992)+E(f2(x991,x992,x991,x992),f2(x991,x992,x992,x991))
% 0.53/0.69 [64]~P2(x643,x642,x641)+P2(x641,x642,x643)
% 0.53/0.69 [65]~P2(x653,x652,x651)+P1(x651,x652,x653)
% 0.53/0.69 [66]~P1(x663,x662,x661)+P1(x661,x662,x663)
% 0.53/0.69 [67]~P2(x672,x673,x671)+P1(x671,x672,x673)
% 0.53/0.69 [68]~P1(x682,x683,x681)+P1(x681,x682,x683)
% 0.53/0.69 [69]~P2(x693,x691,x692)+P1(x691,x692,x693)
% 0.53/0.69 [70]~P1(x703,x701,x702)+P1(x701,x702,x703)
% 0.53/0.69 [71]~P2(x712,x711,x713)+P1(x711,x712,x713)
% 0.53/0.69 [72]~P1(x722,x721,x723)+P1(x721,x722,x723)
% 0.53/0.69 [73]~P2(x731,x733,x732)+P1(x731,x732,x733)
% 0.53/0.69 [74]~P1(x741,x743,x742)+P1(x741,x742,x743)
% 0.53/0.69 [75]~P2(x751,x752,x753)+P1(x751,x752,x753)
% 0.53/0.69 [95]~P3(x951,x952,x953,x953)+E(x951,x952)
% 0.53/0.69 [108]~P2(x1082,x1083,x1081)+E(f2(f2(x1081,x1082,a1,a7),x1082,x1082,x1083),x1083)
% 0.53/0.69 [101]~P3(x1014,x1013,x1012,x1011)+P3(x1011,x1012,x1013,x1014)
% 0.53/0.69 [102]~P3(x1023,x1024,x1022,x1021)+P3(x1021,x1022,x1023,x1024)
% 0.53/0.69 [103]~P3(x1034,x1033,x1031,x1032)+P3(x1031,x1032,x1033,x1034)
% 0.53/0.69 [104]~P3(x1043,x1044,x1041,x1042)+P3(x1041,x1042,x1043,x1044)
% 0.53/0.69 [105]~P3(x1052,x1051,x1054,x1053)+P3(x1051,x1052,x1053,x1054)
% 0.53/0.69 [106]~P3(x1062,x1061,x1063,x1064)+P3(x1061,x1062,x1063,x1064)
% 0.53/0.69 [107]~P3(x1071,x1072,x1074,x1073)+P3(x1071,x1072,x1073,x1074)
% 0.53/0.69 [97]P2(x971,x972,x973)+~E(x973,f2(x971,x972,x974,x975))
% 0.53/0.69 [118]~P3(x1183,x1184,x1185,x1186)+E(f2(f2(x1181,x1182,a1,a7),x1182,x1183,x1184),f2(f2(x1181,x1182,a1,a7),x1182,x1185,x1186))
% 0.53/0.69 [77]~P2(x773,x771,x772)+E(x771,x772)+~P2(x773,x772,x771)
% 0.53/0.69 [78]~P2(x781,x782,x783)+E(x781,x782)+~P2(x782,x781,x783)
% 0.53/0.69 [98]~P3(x983,x981,x983,x982)+E(x981,x982)+~P2(x983,x981,x982)
% 0.53/0.69 [94]~P2(x941,x942,x943)+E(x941,x942)+E(f2(x941,x942,x942,x943),x943)
% 0.53/0.69 [76]~P2(x764,x762,x763)+P2(x761,x762,x763)+~E(x764,x763)
% 0.53/0.69 [81]~P2(x814,x811,x812)+P2(x811,x812,x813)+~P2(x814,x812,x813)
% 0.53/0.69 [82]~P2(x821,x824,x823)+P2(x821,x822,x823)+~P2(x824,x822,x823)
% 0.53/0.69 [83]~P2(x831,x832,x834)+P2(x831,x832,x833)+~P2(x831,x834,x833)
% 0.53/0.69 [124]~P2(x1245,x1241,x1244)+~P2(x1242,x1243,x1244)+P2(x1241,f6(x1242,x1243,x1244,x1241,x1245),x1242)
% 0.53/0.69 [125]~P2(x1255,x1254,x1253)+~P2(x1252,x1251,x1253)+P2(x1251,f6(x1252,x1251,x1253,x1254,x1255),x1255)
% 0.53/0.69 [122]~P3(x1223,x1225,x1221,x1222)+~P2(x1223,x1224,x1225)+P2(x1221,f2(f2(x1222,x1221,a1,a7),x1221,x1223,x1224),x1222)
% 0.53/0.69 [123]~P2(x1235,x1231,x1232)+~P3(x1235,x1232,x1234,x1233)+P3(x1231,x1232,f2(f2(x1233,x1234,a1,a7),x1234,x1235,x1231),x1233)
% 0.53/0.69 [112]~P3(x1125,x1126,x1121,x1122)+P3(x1121,x1122,x1123,x1124)+~P3(x1125,x1126,x1123,x1124)
% 0.53/0.69 [113]~P3(x1131,x1132,x1135,x1136)+P3(x1131,x1132,x1133,x1134)+~P3(x1135,x1136,x1133,x1134)
% 0.53/0.69 [111]~P3(x1113,x1114,x1115,x1116)+E(x1111,x1112)+E(f2(x1111,x1112,x1113,x1114),f2(x1111,x1112,x1115,x1116))
% 0.53/0.69 [86]P2(x863,x861,x862)+P2(x862,x863,x861)+~P1(x862,x863,x861)+P2(x861,x862,x863)
% 0.53/0.69 [84]~P2(x841,x842,x844)+~P2(x843,x841,x842)+E(x841,x842)+P2(x843,x842,x844)
% 0.53/0.69 [85]~P2(x851,x852,x854)+~P2(x853,x851,x852)+E(x851,x852)+P2(x853,x851,x854)
% 0.53/0.69 [88]P2(x882,x881,x883)+~P2(x884,x882,x883)+P2(x881,x882,x883)+~P2(x884,x881,x883)
% 0.53/0.69 [89]P2(x891,x893,x892)+~P2(x891,x893,x894)+P2(x891,x892,x893)+~P2(x891,x892,x894)
% 0.53/0.69 [109]~P3(x1094,x1091,x1094,x1092)+~P3(x1093,x1091,x1093,x1092)+E(x1091,x1092)+~P2(x1093,x1091,x1094)
% 0.53/0.69 [93]~P2(x931,x935,x933)+~P2(x931,x934,x933)+P2(x931,x932,x933)+~P2(x934,x932,x935)
% 0.53/0.69 [126]~P2(x1264,x1262,x1263)+~P2(x1261,x1262,x1265)+E(x1261,x1262)+P2(x1261,x1263,f3(x1261,x1264,x1262,x1263,x1265))
% 0.53/0.69 [127]~P2(x1273,x1272,x1274)+~P2(x1271,x1272,x1275)+E(x1271,x1272)+P2(x1271,x1273,f4(x1271,x1273,x1272,x1274,x1275))
% 0.53/0.69 [128]~P2(x1283,x1282,x1284)+~P2(x1281,x1282,x1285)+E(x1281,x1282)+P2(f4(x1281,x1283,x1282,x1284,x1285),x1285,f3(x1281,x1283,x1282,x1284,x1285))
% 0.53/0.69 [90]P2(x904,x903,x901)+~P2(x903,x901,x902)+~P2(x904,x901,x902)+E(x901,x902)+P2(x903,x904,x901)
% 0.53/0.69 [91]P2(x912,x914,x913)+~P2(x911,x912,x913)+~P2(x911,x912,x914)+E(x911,x912)+P2(x912,x913,x914)
% 0.53/0.69 [92]P2(x921,x924,x923)+~P2(x921,x922,x923)+~P2(x921,x922,x924)+E(x921,x922)+P2(x921,x923,x924)
% 0.53/0.69 [100]~P2(x1003,x1004,x1002)+~P2(x1003,x1004,x1001)+~P3(x1004,x1001,x1004,x1002)+E(x1001,x1002)+E(x1003,x1004)
% 0.53/0.69 [110]~P2(x1103,x1104,x1101)+~P3(x1104,x1101,x1104,x1102)+~P3(x1103,x1101,x1103,x1102)+E(x1101,x1102)+E(x1103,x1104)
% 0.53/0.69 [114]~P3(x1146,x1142,x1145,x1144)+~P3(x1146,x1141,x1145,x1143)+P3(x1141,x1142,x1143,x1144)+~P2(x1145,x1143,x1144)+~P2(x1146,x1141,x1142)
% 0.53/0.69 [115]~P3(x1156,x1152,x1155,x1154)+~P3(x1151,x1156,x1153,x1155)+P3(x1151,x1152,x1153,x1154)+~P2(x1153,x1155,x1154)+~P2(x1151,x1156,x1152)
% 0.53/0.69 [116]~P3(x1165,x1166,x1162,x1163)+~P3(x1164,x1166,x1161,x1163)+~P3(x1164,x1165,x1161,x1162)+P2(x1161,x1162,x1163)+~P2(x1164,x1165,x1166)
% 0.53/0.69 [129]~P2(x1293,x1294,x1295)+~P2(x1292,x1293,x1295)+~P3(x1292,x1295,x1292,x1296)+~P3(x1292,x1293,x1292,x1291)+P2(x1291,f5(x1292,x1293,x1291,x1294,x1295,x1296),x1296)
% 0.53/0.69 [130]~P2(x1303,x1302,x1305)+~P2(x1301,x1303,x1305)+~P3(x1301,x1305,x1301,x1306)+~P3(x1301,x1303,x1301,x1304)+P3(x1301,x1302,x1301,f5(x1301,x1303,x1304,x1302,x1305,x1306))
% 0.53/0.69 [131]~P2(x1314,x1312,x1315)+~P2(x1313,x1311,x1314)+~P2(x1313,x1316,x1315)+P2(x1311,f6(x1312,f6(x1313,x1311,x1314,x1312,x1315),x1313,x1316,x1315),x1315)+P2(x1316,f6(x1312,f6(x1313,x1311,x1314,x1312,x1315),x1313,x1316,x1315),x1312)
% 0.53/0.69 [117]P2(x1175,x1173,x1174)+P2(x1174,x1175,x1173)+~P3(x1173,x1171,x1173,x1172)+~P3(x1175,x1171,x1175,x1172)+~P3(x1174,x1171,x1174,x1172)+E(x1171,x1172)+P2(x1173,x1174,x1175)
% 0.53/0.69 [119]~P3(x1198,x1192,x1196,x1194)+~P3(x1191,x1198,x1193,x1196)+~P3(x1197,x1192,x1195,x1194)+~P3(x1197,x1191,x1195,x1193)+P3(x1191,x1192,x1193,x1194)+~P2(x1195,x1193,x1196)+~P2(x1197,x1191,x1198)
% 0.53/0.69 [120]~P3(x1208,x1202,x1206,x1204)+~P3(x1207,x1202,x1205,x1204)+~P3(x1207,x1208,x1205,x1206)+~P3(x1207,x1201,x1205,x1203)+P3(x1201,x1202,x1203,x1204)+~P2(x1205,x1203,x1206)+~P2(x1207,x1201,x1208)
% 0.53/0.69 [121]~P2(x1211,x1212,x1213)+~P3(x1212,x1214,x1218,x1216)+~P3(x1212,x1213,x1218,x1215)+~P3(x1211,x1214,x1217,x1216)+~P3(x1211,x1212,x1217,x1218)+E(x1211,x1212)+P3(x1213,x1214,x1215,x1216)+~P2(x1217,x1218,x1215)
% 0.53/0.69 %EqnAxiom
% 0.53/0.69 [1]E(x11,x11)
% 0.53/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.69 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.53/0.69 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.53/0.69 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.53/0.69 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.53/0.69 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86),f6(x82,x83,x84,x85,x86))
% 0.53/0.69 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96),f6(x93,x92,x94,x95,x96))
% 0.53/0.69 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106),f6(x103,x104,x102,x105,x106))
% 0.53/0.69 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116),f6(x113,x114,x115,x112,x116))
% 0.53/0.69 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121),f6(x123,x124,x125,x126,x122))
% 0.53/0.69 [13]~E(x131,x132)+E(f3(x131,x133,x134,x135,x136),f3(x132,x133,x134,x135,x136))
% 0.53/0.69 [14]~E(x141,x142)+E(f3(x143,x141,x144,x145,x146),f3(x143,x142,x144,x145,x146))
% 0.53/0.69 [15]~E(x151,x152)+E(f3(x153,x154,x151,x155,x156),f3(x153,x154,x152,x155,x156))
% 0.53/0.69 [16]~E(x161,x162)+E(f3(x163,x164,x165,x161,x166),f3(x163,x164,x165,x162,x166))
% 0.53/0.69 [17]~E(x171,x172)+E(f3(x173,x174,x175,x176,x171),f3(x173,x174,x175,x176,x172))
% 0.53/0.69 [18]~E(x181,x182)+E(f4(x181,x183,x184,x185,x186),f4(x182,x183,x184,x185,x186))
% 0.53/0.69 [19]~E(x191,x192)+E(f4(x193,x191,x194,x195,x196),f4(x193,x192,x194,x195,x196))
% 0.53/0.69 [20]~E(x201,x202)+E(f4(x203,x204,x201,x205,x206),f4(x203,x204,x202,x205,x206))
% 0.53/0.69 [21]~E(x211,x212)+E(f4(x213,x214,x215,x211,x216),f4(x213,x214,x215,x212,x216))
% 0.53/0.69 [22]~E(x221,x222)+E(f4(x223,x224,x225,x226,x221),f4(x223,x224,x225,x226,x222))
% 0.53/0.69 [23]~E(x231,x232)+E(f5(x231,x233,x234,x235,x236,x237),f5(x232,x233,x234,x235,x236,x237))
% 0.53/0.69 [24]~E(x241,x242)+E(f5(x243,x241,x244,x245,x246,x247),f5(x243,x242,x244,x245,x246,x247))
% 0.53/0.69 [25]~E(x251,x252)+E(f5(x253,x254,x251,x255,x256,x257),f5(x253,x254,x252,x255,x256,x257))
% 0.53/0.69 [26]~E(x261,x262)+E(f5(x263,x264,x265,x261,x266,x267),f5(x263,x264,x265,x262,x266,x267))
% 0.53/0.69 [27]~E(x271,x272)+E(f5(x273,x274,x275,x276,x271,x277),f5(x273,x274,x275,x276,x272,x277))
% 0.53/0.69 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x287,x281),f5(x283,x284,x285,x286,x287,x282))
% 0.53/0.69 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.53/0.69 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.53/0.69 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.53/0.69 [32]P2(x322,x323,x324)+~E(x321,x322)+~P2(x321,x323,x324)
% 0.53/0.69 [33]P2(x333,x332,x334)+~E(x331,x332)+~P2(x333,x331,x334)
% 0.53/0.69 [34]P2(x343,x344,x342)+~E(x341,x342)+~P2(x343,x344,x341)
% 0.53/0.69 [35]P3(x352,x353,x354,x355)+~E(x351,x352)+~P3(x351,x353,x354,x355)
% 0.53/0.69 [36]P3(x363,x362,x364,x365)+~E(x361,x362)+~P3(x363,x361,x364,x365)
% 0.53/0.69 [37]P3(x373,x374,x372,x375)+~E(x371,x372)+~P3(x373,x374,x371,x375)
% 0.53/0.69 [38]P3(x383,x384,x385,x382)+~E(x381,x382)+~P3(x383,x384,x385,x381)
% 0.53/0.69
% 0.53/0.69 %-------------------------------------------
% 0.53/0.69 cnf(140,plain,
% 0.53/0.69 (E(f2(x1401,x1402,x1403,x1403),x1402)),
% 0.53/0.69 inference(rename_variables,[],[45])).
% 0.53/0.69 cnf(146,plain,
% 0.53/0.69 (P3(x1461,x1461,x1462,x1462)),
% 0.53/0.69 inference(rename_variables,[],[44])).
% 0.53/0.69 cnf(150,plain,
% 0.53/0.69 (P3(x1501,f2(x1502,x1501,x1503,x1504),x1503,x1504)),
% 0.53/0.69 inference(rename_variables,[],[50])).
% 0.53/0.69 cnf(152,plain,
% 0.53/0.69 (P3(x1521,f2(x1522,x1521,x1523,x1524),x1523,x1524)),
% 0.53/0.69 inference(rename_variables,[],[50])).
% 0.53/0.69 cnf(154,plain,
% 0.53/0.69 (P2(x1541,x1542,x1542)),
% 0.53/0.69 inference(rename_variables,[],[40])).
% 0.53/0.69 cnf(156,plain,
% 0.53/0.69 (P2(x1561,x1562,f2(x1561,x1562,x1563,x1564))),
% 0.53/0.69 inference(rename_variables,[],[48])).
% 0.53/0.69 cnf(163,plain,
% 0.53/0.69 (P3(x1631,x1632,x1632,x1631)),
% 0.53/0.69 inference(rename_variables,[],[42])).
% 0.53/0.69 cnf(170,plain,
% 0.53/0.69 (P2(x1701,x1701,x1702)),
% 0.53/0.69 inference(rename_variables,[],[41])).
% 0.53/0.69 cnf(178,plain,
% 0.53/0.69 ($false),
% 0.53/0.69 inference(scs_inference,[],[39,42,163,44,146,40,154,41,170,56,57,59,60,61,50,150,152,48,156,45,140,62,52,2,95,64,63,97,87,38,37,36,35,34,33,32,3,113,112,98,78,77,86]),
% 0.53/0.69 ['proof']).
% 0.53/0.69 % SZS output end Proof
% 0.53/0.69 % Total time :0.020000s
%------------------------------------------------------------------------------