TSTP Solution File: PUZ037-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 : Thu Aug 31 13:11:02 EDT 2023
% Result : Unsatisfiable 0.57s 0.98s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.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 : Sat Aug 26 22:47:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.57/0.97 %-------------------------------------------
% 0.57/0.97 % File :CSE---1.6
% 0.57/0.97 % Problem :theBenchmark
% 0.57/0.97 % Transform :cnf
% 0.57/0.97 % Format :tptp:raw
% 0.57/0.97 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.97
% 0.57/0.97 % Result :Theorem 0.360000s
% 0.57/0.97 % Output :CNFRefutation 0.360000s
% 0.57/0.98 %-------------------------------------------
% 0.57/0.98 %--------------------------------------------------------------------------
% 0.57/0.98 % File : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 0.57/0.98 % Domain : Puzzles
% 0.57/0.98 % Problem : Rubik's Cube
% 0.57/0.98 % Version : [HM98] axioms : Especial.
% 0.57/0.98 % Theorem formulation : Rotations in two planes.
% 0.57/0.98 % English : Rubik's Cube is a 3x3x3 cube consisting of 27 subcubes with
% 0.57/0.98 % colored faces. The three layers perpendicular to any axis may
% 0.57/0.98 % be rotated independently. The object is to take a scrambled
% 0.57/0.98 % cube and unscramble it so that each side consists entirely
% 0.57/0.98 % of one color(Blue, White, Green, Yellow, Orange, Red).
% 0.57/0.98
% 0.57/0.98 % Refs : [HM98] Huang & Myers (1998), Subgoal Strategies for Solving B
% 0.57/0.98 % Source : [HM98]
% 0.57/0.98 % Names : Rubik's Cube [HM98]
% 0.57/0.98
% 0.57/0.98 % Status : Unsatisfiable
% 0.57/0.98 % Rating : 0.33 v8.1.0, 0.00 v7.3.0, 0.20 v7.2.0, 0.22 v7.1.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.25 v6.2.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.33 v5.0.0, 0.17 v4.1.0, 0.20 v3.7.0, 0.25 v3.5.0, 0.00 v3.3.0, 0.33 v3.2.0, 0.00 v3.1.0, 0.22 v2.7.0, 0.00 v2.6.0, 0.22 v2.5.0, 0.25 v2.4.0, 0.33 v2.3.0
% 0.57/0.98 % Syntax : Number of clauses : 20 ( 2 unt; 0 nHn; 20 RR)
% 0.57/0.98 % Number of literals : 38 ( 0 equ; 19 neg)
% 0.57/0.98 % Maximal clause size : 2 ( 1 avg)
% 0.57/0.98 % Maximal term depth : 1 ( 1 avg)
% 0.57/0.98 % Number of predicates : 1 ( 1 usr; 0 prp; 54-54 aty)
% 0.57/0.98 % Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% 0.57/0.98 % Number of variables : 972 ( 0 sgn)
% 0.57/0.98 % SPC : CNF_UNS_EPR_NEQ_HRN
% 0.57/0.98
% 0.57/0.98 % Comments : mxy, rzx, lzx rotations to solve.
% 0.57/0.98 %--------------------------------------------------------------------------
% 0.57/0.98 cnf(make_like_this,negated_conjecture,
% 0.57/0.98 ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w) ).
% 0.57/0.98
% 0.57/0.98 cnf(start_with_this,hypothesis,
% 0.57/0.98 state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,w,y,w,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g) ).
% 0.57/0.98
% 0.57/0.98 cnf(txy,axiom,
% 0.57/0.98 ( ~ state(W7,W6,W5,W8,A1,W4,W1,W2,W3,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7)
% 0.57/0.98 | state(W1,W8,W7,W2,A1,W6,W3,W4,W5,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(mxy,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6)
% 0.57/0.98 | state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(bxy,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,W7,W8,W1,W6,D7,W2,W5,W4,W3)
% 0.57/0.98 | state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,W1,W2,W3,W8,D7,W4,W7,W6,W5) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(fzy,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,A4,A5,A6,V1,U1,Y1,A7,A8,W1,V2,U2,Y2,X1,A9,B1,B2,B3,B4,B5,B6,W2,V3,U3,Y3,X2,B7,B8,B9,C1,C2,C3,C4,W3,V4,U4,Y4,X3,C5,C6,C7,C8,C9,V5,U5,Y5,D1,D2,D3,D4,D5,D6)
% 0.57/0.98 | state(A1,A2,A3,A4,A5,A6,X1,X2,X3,A7,A8,Y1,Y2,Y3,Y4,Y5,A9,B1,B2,B3,B4,B5,B6,U1,U2,U3,U4,U5,B7,B8,B9,C1,C2,C3,C4,V1,V2,V3,V4,V5,C5,C6,C7,C8,C9,W1,W2,W3,D1,D2,D3,D4,D5,D6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(mzy,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,Y1,Y2,Y3,A4,A5,A6,A7,X9,A8,A9,B1,B2,B3,X1,B4,B5,B6,B7,B8,X8,B9,C1,C2,C3,C4,X2,C5,C6,C7,C8,C9,X7,D1,D2,D3,D4,D5,X3,D6,D7,D8,D9,E1,E2,E3,X6,X5,X4,E4,E5,E6)
% 0.57/0.98 | state(A1,A2,A3,X1,X2,X3,A4,A5,A6,A7,Y3,A8,A9,B1,B2,B3,X4,B4,B5,B6,B7,B8,Y2,B9,C1,C2,C3,C4,X5,C5,C6,C7,C8,C9,Y1,D1,D2,D3,D4,D5,X6,D6,D7,D8,D9,E1,E2,E3,X9,X8,X7,E4,E5,E6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(bzy,axiom,
% 0.57/0.98 ( ~ state(Y1,Y2,Y3,A1,A2,A3,A4,A5,A6,X9,A7,A8,A9,B1,B2,B3,B4,X1,W1,W8,W7,X8,B5,B6,B7,B8,B9,C1,C2,X2,W2,C3,W6,X7,C4,C5,C6,C7,C8,C9,D1,X3,W3,W4,W5,D2,D3,D4,D5,D6,D7,X6,X5,X4)
% 0.57/0.98 | state(X1,X2,X3,A1,A2,A3,A4,A5,A6,Y3,A7,A8,A9,B1,B2,B3,B4,X4,W3,W2,W1,Y2,B5,B6,B7,B8,B9,C1,C2,X5,W4,C3,W8,Y1,C4,C5,C6,C7,C8,C9,D1,X6,W5,W6,W7,D2,D3,D4,D5,D6,D7,X9,X8,X7) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(lzx,axiom,
% 0.57/0.98 ( ~ state(Y1,A1,A2,Y2,A3,A4,Y3,A5,A6,W7,W8,W1,X1,A7,A8,A9,B1,B2,B3,B4,X9,W6,B5,W2,X2,B6,B7,B8,B9,C1,C2,C3,X8,W5,W4,W3,X3,C4,C5,C6,C7,C8,C9,D1,X7,X4,D2,D3,X5,D4,D5,X6,D6,D7)
% 0.57/0.98 | state(X1,A1,A2,X2,A3,A4,X3,A5,A6,W1,W2,W3,X4,A7,A8,A9,B1,B2,B3,B4,Y3,W8,B5,W4,X5,B6,B7,B8,B9,C1,C2,C3,Y2,W7,W6,W5,X6,C4,C5,C6,C7,C8,C9,D1,Y1,X7,D2,D3,X8,D4,D5,X9,D6,D7) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(mzx,axiom,
% 0.57/0.98 ( ~ state(A1,Y1,A2,A3,Y2,A4,A5,Y3,A6,A7,A8,A9,B1,X1,B2,B3,B4,B5,B6,X9,B7,B8,B9,C1,C2,X2,C3,C4,C5,C6,C7,X8,C8,C9,D1,D2,D3,X3,D4,D5,D6,D7,D8,X7,D9,E1,X4,E2,E3,X5,E4,E5,X6,E6)
% 0.57/0.98 | state(A1,X1,A2,A3,X2,A4,A5,X3,A6,A7,A8,A9,B1,X4,B2,B3,B4,B5,B6,Y3,B7,B8,B9,C1,C2,X5,C3,C4,C5,C6,C7,Y2,C8,C9,D1,D2,D3,X6,D4,D5,D6,D7,D8,Y1,D9,E1,X7,E2,E3,X8,E4,E5,X9,E6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(rzx,axiom,
% 0.57/0.98 ( ~ state(A1,A2,Y1,A3,A4,Y2,A5,A6,Y3,A7,A8,A9,B1,B2,X1,W1,W8,W7,X9,B3,B4,B5,B6,B7,B8,B9,X2,W2,C1,W6,X8,C2,C3,C4,C5,C6,C7,C8,X3,W3,W4,W5,X7,C9,D1,D2,D3,X4,D4,D5,X5,D6,D7,X6)
% 0.57/0.98 | state(A1,A2,X1,A3,A4,X2,A5,A6,X3,A7,A8,A9,B1,B2,X4,W3,W2,W1,Y3,B3,B4,B5,B6,B7,B8,B9,X5,W4,C1,W8,Y2,C2,C3,C4,C5,C6,C7,C8,X6,W5,W6,W7,Y1,C9,D1,D2,D3,X7,D4,D5,X8,D6,D7,X9) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(tyx,axiom,
% 0.57/0.98 ( ~ state(W1,W8,W7,W2,A1,W6,W3,W4,W5,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7)
% 0.57/0.98 | state(W7,W6,W5,W8,A1,W4,W1,W2,W3,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(myx,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6)
% 0.57/0.98 | state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,D7,D8,D9,E1,E2,E3,E4,E5,E6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(byx,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,X1,X2,X3,X4,X5,X6,X7,X8,X9,Y1,Y2,Y3,W1,W2,W3,W8,D7,W4,W7,W6,W5)
% 0.57/0.98 | state(A1,A2,A3,A4,A5,A6,A7,A8,A9,B1,B2,B3,B4,B5,B6,B7,B8,B9,C1,C2,C3,C4,C5,C6,C7,C8,C9,D1,D2,D3,D4,D5,D6,Y1,Y2,Y3,X1,X2,X3,X4,X5,X6,X7,X8,X9,W7,W8,W1,W6,D7,W2,W5,W4,W3) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(fyz,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,A4,A5,A6,X1,X2,X3,A7,A8,Y1,Y2,Y3,Y4,Y5,A9,B1,B2,B3,B4,B5,B6,U1,U2,U3,U4,U5,B7,B8,B9,C1,C2,C3,C4,V1,V2,V3,V4,V5,C5,C6,C7,C8,C9,W1,W2,W3,D1,D2,D3,D4,D5,D6)
% 0.57/0.98 | state(A1,A2,A3,A4,A5,A6,V1,U1,Y1,A7,A8,W1,V2,U2,Y2,X1,A9,B1,B2,B3,B4,B5,B6,W2,V3,U3,Y3,X2,B7,B8,B9,C1,C2,C3,C4,W3,V4,U4,Y4,X3,C5,C6,C7,C8,C9,V5,U5,Y5,D1,D2,D3,D4,D5,D6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(myz,axiom,
% 0.57/0.98 ( ~ state(A1,A2,A3,X1,X2,X3,A4,A5,A6,A7,Y3,A8,A9,B1,B2,B3,X4,B4,B5,B6,B7,B8,Y2,B9,C1,C2,C3,C4,X5,C5,C6,C7,C8,C9,Y1,D1,D2,D3,D4,D5,X6,D6,D7,D8,D9,E1,E2,E3,X9,X8,X7,E4,E5,E6)
% 0.57/0.98 | state(A1,A2,A3,Y1,Y2,Y3,A4,A5,A6,A7,X9,A8,A9,B1,B2,B3,X1,B4,B5,B6,B7,B8,X8,B9,C1,C2,C3,C4,X2,C5,C6,C7,C8,C9,X7,D1,D2,D3,D4,D5,X3,D6,D7,D8,D9,E1,E2,E3,X6,X5,X4,E4,E5,E6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(byz,axiom,
% 0.57/0.98 ( ~ state(X1,X2,X3,A1,A2,A3,A4,A5,A6,Y3,A7,A8,A9,B1,B2,B3,B4,X4,W3,W2,W1,Y2,B5,B6,B7,B8,B9,C1,C2,X5,W4,C3,W8,Y1,C4,C5,C6,C7,C8,C9,D1,X6,W5,W6,W7,D2,D3,D4,D5,D6,D7,X9,X8,X7)
% 0.57/0.98 | state(Y1,Y2,Y3,A1,A2,A3,A4,A5,A6,X9,A7,A8,A9,B1,B2,B3,B4,X1,W1,W8,W7,X8,B5,B6,B7,B8,B9,C1,C2,X2,W2,C3,W6,X7,C4,C5,C6,C7,C8,C9,D1,X3,W3,W4,W5,D2,D3,D4,D5,D6,D7,X6,X5,X4) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(lxz,axiom,
% 0.57/0.98 ( ~ state(X1,A1,A2,X2,A3,A4,X3,A5,A6,W1,W2,W3,X4,A7,A8,A9,B1,B2,B3,B4,Y3,W8,B5,W4,X5,B6,B7,B8,B9,C1,C2,C3,Y2,W7,W6,W5,X6,C4,C5,C6,C7,C8,C9,D1,Y1,X7,D2,D3,X8,D4,D5,X9,D6,D7)
% 0.57/0.98 | state(Y1,A1,A2,Y2,A3,A4,Y3,A5,A6,W7,W8,W1,X1,A7,A8,A9,B1,B2,B3,B4,X9,W6,B5,W2,X2,B6,B7,B8,B9,C1,C2,C3,X8,W5,W4,W3,X3,C4,C5,C6,C7,C8,C9,D1,X7,X4,D2,D3,X5,D4,D5,X6,D6,D7) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(mxz,axiom,
% 0.57/0.98 ( ~ state(A1,X1,A2,A3,X2,A4,A5,X3,A6,A7,A8,A9,B1,X4,B2,B3,B4,B5,B6,Y3,B7,B8,B9,C1,C2,X5,C3,C4,C5,C6,C7,Y2,C8,C9,D1,D2,D3,X6,D4,D5,D6,D7,D8,Y1,D9,E1,X7,E2,E3,X8,E4,E5,X9,E6)
% 0.57/0.98 | state(A1,Y1,A2,A3,Y2,A4,A5,Y3,A6,A7,A8,A9,B1,X1,B2,B3,B4,B5,B6,X9,B7,B8,B9,C1,C2,X2,C3,C4,C5,C6,C7,X8,C8,C9,D1,D2,D3,X3,D4,D5,D6,D7,D8,X7,D9,E1,X4,E2,E3,X5,E4,E5,X6,E6) ) ).
% 0.57/0.98
% 0.57/0.98 cnf(rxz,axiom,
% 0.57/0.98 ( ~ state(A1,A2,X1,A3,A4,X2,A5,A6,X3,A7,A8,A9,B1,B2,X4,W3,W2,W1,Y3,B3,B4,B5,B6,B7,B8,B9,X5,W4,C1,W8,Y2,C2,C3,C4,C5,C6,C7,C8,X6,W5,W6,W7,Y1,C9,D1,D2,D3,X7,D4,D5,X8,D6,D7,X9)
% 0.57/0.98 | state(A1,A2,Y1,A3,A4,Y2,A5,A6,Y3,A7,A8,A9,B1,B2,X1,W1,W8,W7,X9,B3,B4,B5,B6,B7,B8,B9,X2,W2,C1,W6,X8,C2,C3,C4,C5,C6,C7,C8,X3,W3,W4,W5,X7,C9,D1,D2,D3,X4,D4,D5,X5,D6,D7,X6) ) ).
% 0.57/0.98
% 0.57/0.98 %--------------------------------------------------------------------------
% 0.57/0.98 %-------------------------------------------
% 0.57/0.98 % Proof found
% 0.57/0.98 % SZS status Theorem for theBenchmark
% 0.57/0.98 % SZS output start Proof
% 0.57/0.98 %ClaNum:20(EqnAxiom:0)
% 0.57/0.98 %VarNum:1944(SingletonVarNum:972)
% 0.57/0.99 %MaxLitNum:2
% 0.57/0.99 %MaxfuncDepth:0
% 0.57/0.99 %SharedTerms:8
% 0.57/0.99 %goalClause: 2
% 0.57/0.99 %singleGoalClaCount:1
% 0.57/0.99 [1]P1(a1,a2,a1,a1,a2,a1,a1,a2,a1,a3,a3,a3,a2,a4,a2,a5,a5,a5,a6,a1,a6,a6,a1,a6,a3,a3,a3,a2,a4,a2,a5,a5,a5,a3,a3,a3,a2,a4,a2,a5,a5,a5,a6,a1,a6,a4,a6,a4,a4,a6,a4,a4,a6,a4)
% 0.57/0.99 [2]~P1(a2,a2,a2,a2,a2,a2,a2,a2,a2,a3,a3,a3,a4,a4,a4,a5,a5,a5,a1,a1,a1,a3,a3,a3,a4,a4,a4,a5,a5,a5,a1,a1,a1,a3,a3,a3,a4,a4,a4,a5,a5,a5,a1,a1,a1,a6,a6,a6,a6,a6,a6,a6,a6,a6)
% 0.57/0.99 [3]~P1(x313,x32,x33,x325,x35,x36,x337,x38,x39,x312,x324,x336,x346,x314,x315,x316,x317,x318,x319,x320,x37,x311,x323,x335,x349,x326,x327,x328,x329,x330,x331,x332,x34,x310,x322,x334,x352,x338,x339,x340,x341,x342,x343,x344,x31,x345,x347,x348,x333,x350,x351,x321,x353,x354)+P1(x31,x32,x33,x34,x35,x36,x37,x38,x39,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350,x351,x352,x353,x354)
% 0.57/0.99 [4]~P1(x418,x430,x442,x44,x45,x46,x47,x48,x49,x43,x411,x412,x413,x414,x415,x416,x417,x454,x443,x431,x419,x42,x423,x424,x425,x426,x427,x428,x429,x453,x444,x432,x420,x41,x435,x436,x437,x438,x439,x440,x441,x452,x445,x433,x421,x446,x447,x448,x449,x450,x451,x410,x422,x434)+P1(x41,x42,x43,x44,x45,x46,x47,x48,x49,x410,x411,x412,x413,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454)
% 0.57/0.99 [5]~P1(x534,x522,x510,x54,x55,x56,x57,x58,x59,x552,x511,x512,x513,x514,x515,x516,x517,x51,x521,x533,x545,x553,x523,x524,x525,x526,x527,x528,x529,x52,x520,x532,x544,x554,x535,x536,x537,x538,x539,x540,x541,x53,x519,x531,x543,x546,x547,x548,x549,x550,x551,x542,x530,x518)+P1(x51,x52,x53,x54,x55,x56,x57,x58,x59,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554)
% 0.57/0.99 [6]~P1(x645,x62,x63,x633,x65,x66,x621,x68,x69,x634,x622,x610,x61,x614,x615,x616,x617,x618,x619,x620,x652,x635,x623,x611,x64,x626,x627,x628,x629,x630,x631,x632,x649,x636,x624,x612,x67,x638,x639,x640,x641,x642,x643,x644,x646,x613,x647,x648,x625,x650,x651,x637,x653,x654)+P1(x61,x62,x63,x64,x65,x66,x67,x68,x69,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649,x650,x651,x652,x653,x654)
% 0.57/0.99 [7]~P1(x73,x76,x79,x72,x75,x78,x71,x74,x77,x719,x720,x721,x710,x711,x712,x713,x714,x715,x716,x717,x718,x722,x723,x724,x725,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753,x754)+P1(x71,x72,x73,x74,x75,x76,x77,x78,x79,x710,x711,x712,x713,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753,x754)
% 0.57/0.99 [8]~P1(x87,x84,x81,x88,x85,x82,x89,x86,x83,x813,x814,x815,x816,x817,x818,x819,x820,x821,x810,x811,x812,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854)+P1(x81,x82,x83,x84,x85,x86,x87,x88,x89,x810,x811,x812,x813,x814,x815,x816,x817,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854)
% 0.57/0.99 [9]~P1(x91,x914,x93,x94,x926,x96,x97,x938,x99,x910,x911,x912,x913,x947,x915,x916,x917,x918,x919,x98,x921,x922,x923,x924,x925,x950,x927,x928,x929,x930,x931,x95,x933,x934,x935,x936,x937,x953,x939,x940,x941,x942,x943,x92,x945,x946,x944,x948,x949,x932,x951,x952,x920,x954)+P1(x91,x92,x93,x94,x95,x96,x97,x98,x99,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948,x949,x950,x951,x952,x953,x954)
% 0.57/0.99 [10]~P1(x101,x1044,x103,x104,x1032,x106,x107,x1020,x109,x1010,x1011,x1012,x1013,x102,x1015,x1016,x1017,x1018,x1019,x1053,x1021,x1022,x1023,x1024,x1025,x105,x1027,x1028,x1029,x1030,x1031,x1050,x1033,x1034,x1035,x1036,x1037,x108,x1039,x1040,x1041,x1042,x1043,x1047,x1045,x1046,x1014,x1048,x1049,x1026,x1051,x1052,x1038,x1054)+P1(x101,x102,x103,x104,x105,x106,x107,x108,x109,x1010,x1011,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031,x1032,x1033,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042,x1043,x1044,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053,x1054)
% 0.57/0.99 [11]~P1(x111,x112,x1115,x114,x115,x1127,x117,x118,x1139,x1110,x1111,x1112,x1113,x1114,x1148,x1140,x1128,x1116,x119,x1120,x1121,x1122,x1123,x1124,x1125,x1126,x1151,x1141,x1129,x1117,x116,x1132,x1133,x1134,x1135,x1136,x1137,x1138,x1154,x1142,x1130,x1118,x113,x1144,x1145,x1146,x1147,x1143,x1149,x1150,x1131,x1152,x1153,x1119)+P1(x111,x112,x113,x114,x115,x116,x117,x118,x119,x1110,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x1120,x1121,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129,x1130,x1131,x1132,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140,x1141,x1142,x1143,x1144,x1145,x1146,x1147,x1148,x1149,x1150,x1151,x1152,x1153,x1154)
% 0.57/0.99 [12]~P1(x121,x122,x1243,x124,x125,x1231,x127,x128,x1219,x1210,x1211,x1212,x1213,x1214,x123,x1218,x1230,x1242,x1254,x1220,x1221,x1222,x1223,x1224,x1225,x1226,x126,x1217,x1229,x1241,x1251,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x129,x1216,x1228,x1240,x1248,x1244,x1245,x1246,x1247,x1215,x1249,x1250,x1227,x1252,x1253,x1239)+P1(x121,x122,x123,x124,x125,x126,x127,x128,x129,x1210,x1211,x1212,x1213,x1214,x1215,x1216,x1217,x1218,x1219,x1220,x1221,x1222,x1223,x1224,x1225,x1226,x1227,x1228,x1229,x1230,x1231,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x1240,x1241,x1242,x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1250,x1251,x1252,x1253,x1254)
% 0.57/0.99 [13]~P1(x131,x132,x133,x1317,x1329,x1341,x137,x138,x139,x1310,x136,x1312,x1313,x1314,x1315,x1316,x1351,x1318,x1319,x1320,x1321,x1322,x135,x1324,x1325,x1326,x1327,x1328,x1350,x1330,x1331,x1332,x1333,x1334,x134,x1336,x1337,x1338,x1339,x1340,x1349,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1311,x1323,x1335,x1352,x1353,x1354)+P1(x131,x132,x133,x134,x135,x136,x137,x138,x139,x1310,x1311,x1312,x1313,x1314,x1315,x1316,x1317,x1318,x1319,x1320,x1321,x1322,x1323,x1324,x1325,x1326,x1327,x1328,x1329,x1330,x1331,x1332,x1333,x1334,x1335,x1336,x1337,x1338,x1339,x1340,x1341,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1350,x1351,x1352,x1353,x1354)
% 0.57/0.99 [14]~P1(x141,x142,x143,x1435,x1423,x1411,x147,x148,x149,x1410,x1449,x1412,x1413,x1414,x1415,x1416,x144,x1418,x1419,x1420,x1421,x1422,x1450,x1424,x1425,x1426,x1427,x1428,x145,x1430,x1431,x1432,x1433,x1434,x1451,x1436,x1437,x1438,x1439,x1440,x146,x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1441,x1429,x1417,x1452,x1453,x1454)+P1(x141,x142,x143,x144,x145,x146,x147,x148,x149,x1410,x1411,x1412,x1413,x1414,x1415,x1416,x1417,x1418,x1419,x1420,x1421,x1422,x1423,x1424,x1425,x1426,x1427,x1428,x1429,x1430,x1431,x1432,x1433,x1434,x1435,x1436,x1437,x1438,x1439,x1440,x1441,x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1449,x1450,x1451,x1452,x1453,x1454)
% 0.57/0.99 [15]~P1(x151,x152,x153,x154,x155,x156,x1516,x1528,x1540,x1510,x1511,x159,x1515,x1527,x1539,x1548,x1517,x1518,x1519,x1520,x1521,x1522,x1523,x158,x1514,x1526,x1538,x1547,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x157,x1513,x1525,x1537,x1546,x1541,x1542,x1543,x1544,x1545,x1512,x1524,x1536,x1549,x1550,x1551,x1552,x1553,x1554)+P1(x151,x152,x153,x154,x155,x156,x157,x158,x159,x1510,x1511,x1512,x1513,x1514,x1515,x1516,x1517,x1518,x1519,x1520,x1521,x1522,x1523,x1524,x1525,x1526,x1527,x1528,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x1536,x1537,x1538,x1539,x1540,x1541,x1542,x1543,x1544,x1545,x1546,x1547,x1548,x1549,x1550,x1551,x1552,x1553,x1554)
% 0.57/0.99 [16]~P1(x161,x162,x163,x164,x165,x166,x1636,x1624,x1612,x1610,x1611,x1646,x1637,x1625,x1613,x167,x1617,x1618,x1619,x1620,x1621,x1622,x1623,x1647,x1638,x1626,x1614,x168,x1629,x1630,x1631,x1632,x1633,x1634,x1635,x1648,x1639,x1627,x1615,x169,x1641,x1642,x1643,x1644,x1645,x1640,x1628,x1616,x1649,x1650,x1651,x1652,x1653,x1654)+P1(x161,x162,x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612,x1613,x1614,x1615,x1616,x1617,x1618,x1619,x1620,x1621,x1622,x1623,x1624,x1625,x1626,x1627,x1628,x1629,x1630,x1631,x1632,x1633,x1634,x1635,x1636,x1637,x1638,x1639,x1640,x1641,x1642,x1643,x1644,x1645,x1646,x1647,x1648,x1649,x1650,x1651,x1652,x1653,x1654)
% 0.57/0.99 [17]~P1(x171,x172,x173,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712,x1713,x1714,x1715,x1716,x1717,x1718,x1719,x1720,x1721,x1725,x1726,x1727,x1728,x1729,x1730,x1731,x1732,x1733,x1722,x1723,x1724,x1734,x1735,x1736,x1737,x1738,x1739,x1740,x1741,x1742,x1743,x1744,x1745,x1746,x1747,x1748,x1749,x1750,x1751,x1752,x1753,x1754)+P1(x171,x172,x173,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712,x1713,x1714,x1715,x1716,x1717,x1718,x1719,x1720,x1721,x1722,x1723,x1724,x1725,x1726,x1727,x1728,x1729,x1730,x1731,x1732,x1733,x1734,x1735,x1736,x1737,x1738,x1739,x1740,x1741,x1742,x1743,x1744,x1745,x1746,x1747,x1748,x1749,x1750,x1751,x1752,x1753,x1754)
% 0.57/0.99 [18]~P1(x181,x182,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812,x1813,x1814,x1815,x1816,x1817,x1818,x1819,x1820,x1821,x1831,x1832,x1833,x1822,x1823,x1824,x1825,x1826,x1827,x1828,x1829,x1830,x1834,x1835,x1836,x1837,x1838,x1839,x1840,x1841,x1842,x1843,x1844,x1845,x1846,x1847,x1848,x1849,x1850,x1851,x1852,x1853,x1854)+P1(x181,x182,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812,x1813,x1814,x1815,x1816,x1817,x1818,x1819,x1820,x1821,x1822,x1823,x1824,x1825,x1826,x1827,x1828,x1829,x1830,x1831,x1832,x1833,x1834,x1835,x1836,x1837,x1838,x1839,x1840,x1841,x1842,x1843,x1844,x1845,x1846,x1847,x1848,x1849,x1850,x1851,x1852,x1853,x1854)
% 0.57/0.99 [19]~P1(x191,x192,x193,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912,x1913,x1914,x1915,x1916,x1917,x1918,x1919,x1920,x1921,x1922,x1923,x1924,x1925,x1926,x1927,x1928,x1929,x1930,x1931,x1932,x1933,x1937,x1938,x1939,x1940,x1941,x1942,x1943,x1944,x1945,x1934,x1935,x1936,x1948,x1951,x1954,x1947,x1950,x1953,x1946,x1949,x1952)+P1(x191,x192,x193,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912,x1913,x1914,x1915,x1916,x1917,x1918,x1919,x1920,x1921,x1922,x1923,x1924,x1925,x1926,x1927,x1928,x1929,x1930,x1931,x1932,x1933,x1934,x1935,x1936,x1937,x1938,x1939,x1940,x1941,x1942,x1943,x1944,x1945,x1946,x1947,x1948,x1949,x1950,x1951,x1952,x1953,x1954)
% 0.57/0.99 [20]~P1(x201,x202,x203,x204,x205,x206,x207,x208,x209,x2010,x2011,x2012,x2013,x2014,x2015,x2016,x2017,x2018,x2019,x2020,x2021,x2022,x2023,x2024,x2025,x2026,x2027,x2028,x2029,x2030,x2031,x2032,x2033,x2043,x2044,x2045,x2034,x2035,x2036,x2037,x2038,x2039,x2040,x2041,x2042,x2052,x2049,x2046,x2053,x2050,x2047,x2054,x2051,x2048)+P1(x201,x202,x203,x204,x205,x206,x207,x208,x209,x2010,x2011,x2012,x2013,x2014,x2015,x2016,x2017,x2018,x2019,x2020,x2021,x2022,x2023,x2024,x2025,x2026,x2027,x2028,x2029,x2030,x2031,x2032,x2033,x2034,x2035,x2036,x2037,x2038,x2039,x2040,x2041,x2042,x2043,x2044,x2045,x2046,x2047,x2048,x2049,x2050,x2051,x2052,x2053,x2054)
% 0.57/0.99 %EqnAxiom
% 0.57/0.99
% 0.57/0.99 %-------------------------------------------
% 0.57/0.99 cnf(35,plain,
% 0.57/0.99 (~P1(a2,a2,a1,a2,a2,a1,a2,a2,a1,a3,a3,a3,a4,a4,a2,a5,a5,a5,a6,a1,a1,a3,a3,a3,a4,a4,a2,a5,a5,a5,a6,a1,a1,a3,a3,a3,a4,a4,a2,a5,a5,a5,a6,a1,a1,a6,a6,a4,a6,a6,a4,a6,a6,a4)),
% 0.57/0.99 inference(scs_inference,[],[2,20,19,18,17,16,15,14,13,12])).
% 0.57/0.99 cnf(67,plain,
% 0.57/0.99 (P1(a1,a2,a1,a1,a2,a1,a1,a2,a1,a3,a3,a3,a2,a4,a2,a5,a5,a5,a6,a1,a6,a3,a3,a3,a2,a4,a2,a5,a5,a5,a6,a1,a6,a3,a3,a3,a2,a4,a2,a5,a5,a5,a6,a1,a6,a4,a6,a4,a4,a6,a4,a4,a6,a4)),
% 0.57/0.99 inference(scs_inference,[],[1,16,15,13,6,20,19,18])).
% 0.57/0.99 cnf(679,plain,
% 0.57/0.99 ($false),
% 0.57/0.99 inference(scs_inference,[],[35,67,7,10,13,17,16,15,6]),
% 0.57/0.99 ['proof']).
% 0.57/0.99 % SZS output end Proof
% 0.57/0.99 % Total time :0.360000s
%------------------------------------------------------------------------------