TSTP Solution File: MSC008-1.002 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 09:20:43 EDT 2023
% Result : Unsatisfiable 1.42s 1.48s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 13:34:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 1.31/1.47 %-------------------------------------------
% 1.31/1.47 % File :CSE---1.6
% 1.31/1.47 % Problem :theBenchmark
% 1.31/1.47 % Transform :cnf
% 1.31/1.47 % Format :tptp:raw
% 1.31/1.47 % Command :java -jar mcs_scs.jar %d %s
% 1.31/1.47
% 1.31/1.47 % Result :Theorem 0.830000s
% 1.31/1.47 % Output :CNFRefutation 0.830000s
% 1.31/1.47 %-------------------------------------------
% 1.42/1.47 %--------------------------------------------------------------------------
% 1.42/1.47 % File : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 1.42/1.47 % Domain : Miscellaneous
% 1.42/1.47 % Problem : The (in)constructability of Graeco-Latin Squares
% 1.42/1.47 % Version : [Rob63] axioms : Especial.
% 1.42/1.47 % English : The constructibility of Graeco-Latin squares of order 4t+2.
% 1.42/1.47 % This is impossible for t=0,1, but possible for all other
% 1.42/1.47 % cases. The size is the size of the squares.
% 1.42/1.47
% 1.42/1.47 % Refs : [Rob63] Robinson (1963), Theorem Proving on the Computer
% 1.42/1.47 % Source : [TPTP]
% 1.42/1.47 % Names :
% 1.42/1.47
% 1.42/1.47 % Status : Unsatisfiable
% 1.42/1.47 % Rating : 0.00 v6.2.0, 0.12 v6.1.0, 0.00 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.00 v2.4.0, 0.00 v2.1.0
% 1.42/1.47 % Syntax : Number of clauses : 17 ( 2 unt; 6 nHn; 10 RR)
% 1.42/1.47 % Number of literals : 44 ( 0 equ; 22 neg)
% 1.42/1.47 % Maximal clause size : 5 ( 2 avg)
% 1.42/1.47 % Maximal term depth : 1 ( 1 avg)
% 1.42/1.47 % Number of predicates : 3 ( 3 usr; 0 prp; 2-3 aty)
% 1.42/1.47 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% 1.42/1.47 % Number of variables : 51 ( 0 sgn)
% 1.42/1.47 % SPC : CNF_UNS_EPR_NEQ_NHN
% 1.42/1.47
% 1.42/1.47 % Comments :
% 1.42/1.47 % : tptp2X: -f tptp -s2 MSC008-1.g
% 1.42/1.47 %--------------------------------------------------------------------------
% 1.42/1.47 cnf(p_1_is_not_p_2,axiom,
% 1.42/1.47 ~ eq(p_1,p_2) ).
% 1.42/1.47
% 1.42/1.47 cnf(reflexivity,axiom,
% 1.42/1.47 eq(X,X) ).
% 1.42/1.47
% 1.42/1.47 cnf(symmetry,axiom,
% 1.42/1.47 ( ~ eq(X,Y)
% 1.42/1.47 | eq(Y,X) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(latin_element_is_unique,axiom,
% 1.42/1.47 ( ~ latin(Row,Column,Label1)
% 1.42/1.47 | ~ latin(Row,Column,Label2)
% 1.42/1.47 | eq(Label1,Label2) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(latin_column_is_unique,axiom,
% 1.42/1.47 ( ~ latin(Row,Column1,Label)
% 1.42/1.47 | ~ latin(Row,Column2,Label)
% 1.42/1.47 | eq(Column1,Column2) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(latin_row_is_unique,axiom,
% 1.42/1.47 ( ~ latin(Row1,Column,Label)
% 1.42/1.47 | ~ latin(Row2,Column,Label)
% 1.42/1.47 | eq(Row1,Row2) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(greek_element_is_unique,axiom,
% 1.42/1.47 ( ~ greek(Row,Column,Label1)
% 1.42/1.47 | ~ greek(Row,Column,Label2)
% 1.42/1.47 | eq(Label1,Label2) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(greek_column_is_unique,axiom,
% 1.42/1.47 ( ~ greek(Row,Column1,Label)
% 1.42/1.47 | ~ greek(Row,Column2,Label)
% 1.42/1.47 | eq(Column1,Column2) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(greek_row_is_unique,axiom,
% 1.42/1.47 ( ~ greek(Row1,Column,Label)
% 1.42/1.47 | ~ greek(Row2,Column,Label)
% 1.42/1.47 | eq(Row1,Row2) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(latin_cell_element,axiom,
% 1.42/1.47 ( latin(Row,Column,p_1)
% 1.42/1.47 | latin(Row,Column,p_2) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(latin_column_required,axiom,
% 1.42/1.47 ( latin(Row,p_1,Label)
% 1.42/1.47 | latin(Row,p_2,Label) ) ).
% 1.42/1.47
% 1.42/1.47 cnf(latin_row_required,axiom,
% 1.42/1.47 ( latin(p_1,Column,Label)
% 1.42/1.48 | latin(p_2,Column,Label) ) ).
% 1.42/1.48
% 1.42/1.48 cnf(greek_cell_element,axiom,
% 1.42/1.48 ( greek(Row,Column,p_1)
% 1.42/1.48 | greek(Row,Column,p_2) ) ).
% 1.42/1.48
% 1.42/1.48 cnf(greek_column_required,axiom,
% 1.42/1.48 ( greek(Row,p_1,Label)
% 1.42/1.48 | greek(Row,p_2,Label) ) ).
% 1.42/1.48
% 1.42/1.48 cnf(greek_row_required,axiom,
% 1.42/1.48 ( greek(p_1,Column,Label)
% 1.42/1.48 | greek(p_2,Column,Label) ) ).
% 1.42/1.48
% 1.42/1.48 cnf(no_two_same1,negated_conjecture,
% 1.42/1.48 ( ~ greek(Row1,Column1,Label1)
% 1.42/1.48 | ~ latin(Row1,Column1,Label2)
% 1.42/1.48 | ~ greek(Row2,Column2,Label1)
% 1.42/1.48 | ~ latin(Row2,Column2,Label2)
% 1.42/1.48 | eq(Column1,Column2) ) ).
% 1.42/1.48
% 1.42/1.48 cnf(no_two_same2,negated_conjecture,
% 1.42/1.48 ( ~ greek(Row1,Column1,Label1)
% 1.42/1.48 | ~ latin(Row1,Column1,Label2)
% 1.42/1.48 | ~ greek(Row2,Column2,Label1)
% 1.42/1.48 | ~ latin(Row2,Column2,Label2)
% 1.42/1.48 | eq(Row1,Row2) ) ).
% 1.42/1.48
% 1.42/1.48 %--------------------------------------------------------------------------
% 1.42/1.48 %-------------------------------------------
% 1.42/1.48 % Proof found
% 1.42/1.48 % SZS status Theorem for theBenchmark
% 1.42/1.48 % SZS output start Proof
% 1.42/1.48 %ClaNum:17(EqnAxiom:0)
% 1.42/1.48 %VarNum:106(SingletonVarNum:51)
% 1.42/1.48 %MaxLitNum:5
% 1.42/1.48 %MaxfuncDepth:0
% 1.42/1.48 %SharedTerms:3
% 1.42/1.48 %goalClause: 16 17
% 1.42/1.48 [2]~P1(a1,a2)
% 1.42/1.48 [1]P1(x11,x11)
% 1.42/1.48 [3]~P1(x32,x31)+P1(x31,x32)
% 1.42/1.48 [4]P2(x41,x42,a2)+P2(x41,x42,a1)
% 1.42/1.48 [5]P3(x51,x52,a2)+P3(x51,x52,a1)
% 1.42/1.48 [6]P2(x61,a2,x62)+P2(x61,a1,x62)
% 1.42/1.48 [7]P3(x71,a2,x72)+P3(x71,a1,x72)
% 1.42/1.48 [8]P2(a2,x81,x82)+P2(a1,x81,x82)
% 1.42/1.48 [9]P3(a2,x91,x92)+P3(a1,x91,x92)
% 1.42/1.48 [10]~P2(x103,x104,x101)+P1(x101,x102)+~P2(x103,x104,x102)
% 1.42/1.48 [11]~P3(x113,x114,x111)+P1(x111,x112)+~P3(x113,x114,x112)
% 1.42/1.48 [12]~P2(x123,x121,x124)+P1(x121,x122)+~P2(x123,x122,x124)
% 1.42/1.48 [13]~P3(x133,x131,x134)+P1(x131,x132)+~P3(x133,x132,x134)
% 1.42/1.48 [14]~P2(x141,x143,x144)+P1(x141,x142)+~P2(x142,x143,x144)
% 1.42/1.48 [15]~P3(x151,x153,x154)+P1(x151,x152)+~P3(x152,x153,x154)
% 1.42/1.48 [16]~P3(x165,x161,x166)+P1(x161,x162)+~P2(x163,x162,x164)+~P2(x165,x161,x164)+~P3(x163,x162,x166)
% 1.42/1.48 [17]~P3(x171,x175,x176)+P1(x171,x172)+~P2(x172,x173,x174)+~P2(x171,x175,x174)+~P3(x172,x173,x176)
% 1.42/1.48 %EqnAxiom
% 1.42/1.48
% 1.42/1.48 %-------------------------------------------
% 1.42/1.48 cnf(19,plain,
% 1.42/1.48 (~P3(a2,x191,x192)+~P3(a1,x191,x192)),
% 1.42/1.48 inference(scs_inference,[],[2,3,15])).
% 1.42/1.48 cnf(20,plain,
% 1.42/1.48 (~P2(a2,x201,x202)+~P2(a1,x201,x202)),
% 1.42/1.48 inference(scs_inference,[],[2,3,15,14])).
% 1.42/1.48 cnf(22,plain,
% 1.42/1.48 (~P3(x221,a2,x222)+~P3(x221,a1,x222)),
% 1.42/1.48 inference(scs_inference,[],[2,3,15,14,13])).
% 1.42/1.48 cnf(24,plain,
% 1.42/1.48 (~P2(x241,a2,x242)+~P2(x241,a1,x242)),
% 1.42/1.48 inference(scs_inference,[],[2,3,15,14,13,12])).
% 1.42/1.48 cnf(26,plain,
% 1.42/1.48 (~P3(x261,x262,a2)+~P3(x261,x262,a1)),
% 1.42/1.48 inference(scs_inference,[],[2,3,15,14,13,12,11])).
% 1.42/1.48 cnf(28,plain,
% 1.42/1.48 (~P2(x281,x282,a2)+~P2(x281,x282,a1)),
% 1.42/1.48 inference(scs_inference,[],[2,3,15,14,13,12,11,10])).
% 1.42/1.48 cnf(30,plain,
% 1.42/1.48 (~P2(a1,x301,a1)+P2(a2,x301,a2)),
% 1.42/1.48 inference(scs_inference,[],[4,20])).
% 1.42/1.48 cnf(31,plain,
% 1.42/1.48 (~P3(a1,x311,a1)+P3(a2,x311,a2)),
% 1.42/1.48 inference(scs_inference,[],[5,19])).
% 1.42/1.48 cnf(34,plain,
% 1.42/1.48 (P2(a2,x341,a1)+~P2(a1,x341,a2)),
% 1.42/1.48 inference(scs_inference,[],[8,28])).
% 1.42/1.48 cnf(35,plain,
% 1.42/1.48 (~P3(a2,x351,x352)+~P2(a1,x353,x354)+~P3(a1,x353,x352)+~P2(a2,x351,x354)),
% 1.42/1.48 inference(scs_inference,[],[2,17])).
% 1.42/1.48 cnf(37,plain,
% 1.42/1.48 (P3(a2,x371,a1)+~P3(a1,x371,a2)),
% 1.42/1.48 inference(scs_inference,[],[9,26])).
% 1.42/1.48 cnf(38,plain,
% 1.42/1.48 (~P2(a2,a1,a2)+~P2(a1,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[30,24])).
% 1.42/1.48 cnf(40,plain,
% 1.42/1.48 (P2(a1,a1,a2)+P2(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[34,6])).
% 1.42/1.48 cnf(42,plain,
% 1.42/1.48 (P2(a1,a2,a2)+~P2(a2,a1,a2)),
% 1.42/1.48 inference(scs_inference,[],[38,4])).
% 1.42/1.48 cnf(46,plain,
% 1.42/1.48 (~P2(a1,a1,a1)+P2(a1,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[42,30])).
% 1.42/1.48 cnf(50,plain,
% 1.42/1.48 (P2(a2,a1,a1)+P2(a1,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[46,8])).
% 1.42/1.48 cnf(54,plain,
% 1.42/1.48 (~P2(a2,a2,a1)+P2(a1,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[50,24])).
% 1.42/1.48 cnf(58,plain,
% 1.42/1.48 (~P2(a1,a1,a2)+~P2(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[54,24])).
% 1.42/1.48 cnf(68,plain,
% 1.42/1.48 (P2(a1,x681,a1)+~P2(a2,x681,a2)),
% 1.42/1.48 inference(scs_inference,[],[4,20])).
% 1.42/1.48 cnf(69,plain,
% 1.42/1.48 (P2(a2,a1,a2)+P2(a1,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[68,6])).
% 1.42/1.48 cnf(76,plain,
% 1.42/1.48 (P2(x761,a2,a1)+~P2(x761,a1,a2)),
% 1.42/1.48 inference(scs_inference,[],[4,24])).
% 1.42/1.48 cnf(83,plain,
% 1.42/1.48 (P2(x831,a1,a2)+~P2(x831,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[4,24])).
% 1.42/1.48 cnf(85,plain,
% 1.42/1.48 (P2(x851,a1,a1)+~P2(x851,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[4,24])).
% 1.42/1.48 cnf(86,plain,
% 1.42/1.48 (P2(a2,a2,a2)+P2(a1,a1,a1)),
% 1.42/1.48 inference(scs_inference,[],[85,8])).
% 1.42/1.48 cnf(87,plain,
% 1.42/1.48 (P2(a1,a1,a1)+~P2(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[86,28])).
% 1.42/1.48 cnf(88,plain,
% 1.42/1.48 (~P3(x881,a2,x882)+~P3(a1,a1,x882)+~P2(x881,a2,a1)+~P2(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[2,87,16])).
% 1.42/1.48 cnf(91,plain,
% 1.42/1.48 (~P2(a1,a2,a1)+P2(a2,a1,a1)),
% 1.42/1.48 inference(scs_inference,[],[4,38])).
% 1.42/1.48 cnf(92,plain,
% 1.42/1.48 (~P2(a1,a2,a1)+~P3(a1,x921,x922)+~P3(a2,a1,x922)+~P2(a1,x921,a1)),
% 1.42/1.48 inference(scs_inference,[],[91,35])).
% 1.42/1.48 cnf(95,plain,
% 1.42/1.48 (P2(a2,a2,a2)+~P3(a2,a2,x951)+~P3(a1,a1,x951)),
% 1.42/1.48 inference(scs_inference,[],[4,88])).
% 1.42/1.48 cnf(96,plain,
% 1.42/1.48 (~P2(a1,a2,a2)+~P3(a1,a1,x961)+~P3(a2,a2,x961)),
% 1.42/1.48 inference(scs_inference,[],[95,20])).
% 1.42/1.48 cnf(97,plain,
% 1.42/1.48 (P2(a1,a1,a2)+~P3(a2,a2,x971)+~P3(a1,a1,x971)),
% 1.42/1.48 inference(scs_inference,[],[96,6])).
% 1.42/1.48 cnf(98,plain,
% 1.42/1.48 (~P2(a1,a1,a1)+~P3(a1,a1,x981)+~P3(a2,a2,x981)),
% 1.42/1.48 inference(scs_inference,[],[97,28])).
% 1.42/1.48 cnf(99,plain,
% 1.42/1.48 (P2(a2,a1,a1)+~P3(a2,a2,x991)+~P3(a1,a1,x991)),
% 1.42/1.48 inference(scs_inference,[],[98,8])).
% 1.42/1.48 cnf(100,plain,
% 1.42/1.48 (~P2(a2,a2,a1)+~P3(a1,a1,x1001)+~P3(a2,a2,x1001)),
% 1.42/1.48 inference(scs_inference,[],[99,24])).
% 1.42/1.48 cnf(101,plain,
% 1.42/1.48 (~P3(a2,a2,x1011)+~P2(a2,a1,a2)+~P3(a1,a1,x1011)),
% 1.42/1.48 inference(scs_inference,[],[100,76])).
% 1.42/1.48 cnf(102,plain,
% 1.42/1.48 (P2(a1,a2,a1)+~P3(a1,a1,x1021)+~P3(a2,a2,x1021)),
% 1.42/1.48 inference(scs_inference,[],[101,69])).
% 1.42/1.48 cnf(105,plain,
% 1.42/1.48 (P2(a1,a2,a2)+~P3(a1,a2,x1051)+~P3(a2,a1,x1051)),
% 1.42/1.48 inference(scs_inference,[],[4,92])).
% 1.42/1.48 cnf(106,plain,
% 1.42/1.48 (~P3(a2,a1,x1061)+~P3(a1,a2,x1061)+P2(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[105,34])).
% 1.42/1.48 cnf(107,plain,
% 1.42/1.48 (~P2(a1,a1,a2)+~P3(a1,a2,x1071)+~P3(a2,a1,x1071)),
% 1.42/1.48 inference(scs_inference,[],[106,58])).
% 1.42/1.48 cnf(130,plain,
% 1.42/1.48 (P2(a2,x1301,a1)+~P3(a1,x1302,x1303)+~P3(a2,x1301,x1303)+~P2(a1,x1302,a2)),
% 1.42/1.48 inference(scs_inference,[],[4,35])).
% 1.42/1.48 cnf(131,plain,
% 1.42/1.48 (P3(a1,x1311,a1)+~P3(a2,x1311,a2)),
% 1.42/1.48 inference(scs_inference,[],[5,19])).
% 1.42/1.48 cnf(132,plain,
% 1.42/1.48 (P3(a2,a1,a2)+P3(a1,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[131,7])).
% 1.42/1.48 cnf(133,plain,
% 1.42/1.48 (P3(a2,a1,a2)+~P3(a1,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[132,26])).
% 1.42/1.48 cnf(134,plain,
% 1.42/1.48 (~P3(a1,a2,a2)+~P3(a2,a1,a1)),
% 1.42/1.48 inference(scs_inference,[],[133,26])).
% 1.42/1.48 cnf(143,plain,
% 1.42/1.48 (~P3(x1431,a1,a1)+P3(x1431,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[5,22])).
% 1.42/1.48 cnf(144,plain,
% 1.42/1.48 (P2(a2,a2,a2)+~P3(a1,a1,a2)+~P3(a2,a1,a1)),
% 1.42/1.48 inference(scs_inference,[],[143,95])).
% 1.42/1.48 cnf(145,plain,
% 1.42/1.48 (~P3(a2,a1,a1)+~P3(a1,a1,a2)+~P2(a1,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[144,20])).
% 1.42/1.48 cnf(146,plain,
% 1.42/1.48 (~P3(a2,a1,a1)+~P3(a1,a1,a2)+P2(a1,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[145,4])).
% 1.42/1.48 cnf(147,plain,
% 1.42/1.48 (~P3(a2,a1,a1)+~P3(a1,a1,a2)+~P2(a1,a1,a1)),
% 1.42/1.48 inference(scs_inference,[],[146,24])).
% 1.42/1.48 cnf(148,plain,
% 1.42/1.48 (~P3(a2,a1,a1)+~P3(a1,a1,a2)+P2(a2,a1,a1)),
% 1.42/1.48 inference(scs_inference,[],[147,8])).
% 1.42/1.48 cnf(149,plain,
% 1.42/1.48 (~P3(a2,a1,a1)+~P3(a1,a1,a2)+~P2(a2,a1,a2)),
% 1.42/1.48 inference(scs_inference,[],[148,28])).
% 1.42/1.48 cnf(150,plain,
% 1.42/1.48 (~P3(a2,a1,a1)+~P3(a1,a1,a2)+~P2(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[149,83])).
% 1.42/1.48 cnf(151,plain,
% 1.42/1.48 (P2(a1,a1,a2)+~P3(a2,a1,a1)+~P3(a1,a1,a2)),
% 1.42/1.48 inference(scs_inference,[],[150,40])).
% 1.42/1.48 cnf(152,plain,
% 1.42/1.48 (~P3(a2,a1,a1)+~P3(a1,a1,a2)+~P3(a2,a1,x1521)+~P3(a1,a2,x1521)),
% 1.42/1.48 inference(scs_inference,[],[151,107])).
% 1.42/1.48 cnf(156,plain,
% 1.42/1.48 (P3(x1561,a1,a1)+~P3(x1561,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[5,22])).
% 1.42/1.48 cnf(157,plain,
% 1.42/1.48 (P3(a2,a2,a2)+P3(a1,a1,a1)),
% 1.42/1.48 inference(scs_inference,[],[156,9])).
% 1.42/1.48 cnf(158,plain,
% 1.42/1.48 (P3(a1,a1,a1)+~P3(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[157,26])).
% 1.42/1.48 cnf(159,plain,
% 1.42/1.48 (P2(a2,a2,a2)+~P3(a2,a2,a1)),
% 1.42/1.48 inference(scs_inference,[],[158,95])).
% 1.42/1.48 cnf(160,plain,
% 1.42/1.48 (~P3(a2,a2,a1)+~P2(a1,a2,a2)),
% 1.42/1.48 inference(scs_inference,[],[159,20])).
% 1.42/1.49 cnf(161,plain,
% 1.42/1.49 (~P3(a2,a2,a1)+P2(a1,a2,a1)),
% 1.42/1.49 inference(scs_inference,[],[160,4])).
% 1.42/1.49 cnf(162,plain,
% 1.42/1.49 (~P3(a2,a2,a1)+~P2(a1,a1,a1)),
% 1.42/1.49 inference(scs_inference,[],[161,24])).
% 1.42/1.49 cnf(163,plain,
% 1.42/1.49 (~P3(a2,a2,a1)+P2(a2,a1,a1)),
% 1.42/1.49 inference(scs_inference,[],[162,8])).
% 1.42/1.49 cnf(164,plain,
% 1.42/1.49 (~P3(a2,a2,a1)+~P2(a2,a1,a2)),
% 1.42/1.49 inference(scs_inference,[],[163,28])).
% 1.42/1.49 cnf(165,plain,
% 1.42/1.49 (~P3(a2,a2,a1)+~P2(a2,a2,a1)),
% 1.42/1.49 inference(scs_inference,[],[164,83])).
% 1.42/1.49 cnf(166,plain,
% 1.42/1.49 (P2(a1,a1,a2)+~P3(a2,a2,a1)),
% 1.42/1.49 inference(scs_inference,[],[165,40])).
% 1.42/1.49 cnf(167,plain,
% 1.42/1.49 (~P3(a2,a2,a1)+~P3(a2,a1,x1671)+~P3(a1,a2,x1671)),
% 1.42/1.49 inference(scs_inference,[],[166,107])).
% 1.42/1.49 cnf(168,plain,
% 1.42/1.49 (P3(a2,a1,a1)+~P3(a1,a2,x1681)+~P3(a2,a1,x1681)),
% 1.42/1.49 inference(scs_inference,[],[167,7])).
% 1.42/1.49 cnf(169,plain,
% 1.42/1.49 (~P3(a1,a1,a1)+~P3(a2,a1,x1691)+~P3(a1,a2,x1691)),
% 1.42/1.49 inference(scs_inference,[],[168,19])).
% 1.42/1.49 cnf(170,plain,
% 1.42/1.49 (~P3(a1,a2,x1701)+~P3(a2,a1,a2)+~P3(a2,a1,x1701)),
% 1.42/1.49 inference(scs_inference,[],[169,131])).
% 1.42/1.49 cnf(171,plain,
% 1.42/1.49 (~P3(a1,a2,a2)+~P3(a1,a1,a1)),
% 1.42/1.49 inference(scs_inference,[],[170,31])).
% 1.42/1.49 cnf(172,plain,
% 1.42/1.49 (~P3(a1,a2,a2)+P3(a1,a1,a2)),
% 1.42/1.49 inference(scs_inference,[],[171,5])).
% 1.42/1.49 cnf(173,plain,
% 1.42/1.49 (~P3(a1,a2,a2)+P3(a2,a1,a1)),
% 1.42/1.49 inference(scs_inference,[],[172,37])).
% 1.42/1.49 cnf(174,plain,
% 1.42/1.49 (~P3(a1,a2,a2)),
% 1.42/1.49 inference(scs_inference,[],[173,134])).
% 1.42/1.49 cnf(199,plain,
% 1.42/1.49 ($false),
% 1.42/1.49 inference(scs_inference,[],[174,9,7,5,102,101,100,99,98,97,96,152,130]),
% 1.42/1.49 ['proof']).
% 1.42/1.49 % SZS output end Proof
% 1.42/1.49 % Total time :0.830000s
%------------------------------------------------------------------------------