TSTP Solution File: GRP128-1.003 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 00:11:07 EDT 2023
% Result : Unsatisfiable 18.65s 18.73s
% Output : CNFRefutation 18.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:14:24 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 18.65/18.72 %-------------------------------------------
% 18.65/18.72 % File :CSE---1.6
% 18.65/18.72 % Problem :theBenchmark
% 18.65/18.72 % Transform :cnf
% 18.65/18.72 % Format :tptp:raw
% 18.65/18.72 % Command :java -jar mcs_scs.jar %d %s
% 18.65/18.72
% 18.65/18.72 % Result :Theorem 18.110000s
% 18.65/18.72 % Output :CNFRefutation 18.110000s
% 18.65/18.72 %-------------------------------------------
% 18.65/18.73 %--------------------------------------------------------------------------
% 18.65/18.73 % File : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% 18.65/18.73 % Domain : Group Theory (Quasigroups)
% 18.65/18.73 % Problem : (a.b).b = a.(a.b)
% 18.65/18.73 % Version : [Sla93] axioms.
% 18.65/18.73 % English : Generate the multiplication table for the specified quasi-
% 18.65/18.73 % group with 3 elements.
% 18.65/18.73
% 18.65/18.73 % Refs : [BZ92] Bennett & Zhu (1992), Conjugate-Orthogonal Latin Squar
% 18.65/18.73 % : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 18.65/18.73 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 18.65/18.73 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 18.65/18.73 % Source : [Sla93]
% 18.65/18.73 % Names : QG6 [Sla93]
% 18.65/18.73 % : QG6 [FSB93]
% 18.65/18.73 % : QG6 [SFS95]
% 18.65/18.73 % : Bennett QG6 [TPTP]
% 18.65/18.73
% 18.65/18.73 % Status : Unsatisfiable
% 18.65/18.73 % Rating : 0.00 v2.1.0
% 18.65/18.73 % Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR)
% 18.65/18.73 % Number of literals : 26 ( 0 equ; 16 neg)
% 18.65/18.73 % Maximal clause size : 5 ( 1 avg)
% 18.65/18.73 % Maximal term depth : 1 ( 1 avg)
% 18.65/18.73 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 18.65/18.73 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 18.65/18.73 % Number of variables : 18 ( 0 sgn)
% 18.65/18.73 % SPC : CNF_UNS_EPR_NEQ_NHN
% 18.65/18.73
% 18.65/18.73 % Comments : [SFS93]'s axiomatization has been modified for this.
% 18.65/18.73 % : Substitution axioms are not needed, as any positive equality
% 18.65/18.73 % literals should resolve on negative ones directly.
% 18.65/18.73 % : tptp2X: -f tptp -s3 GRP128-1.g
% 18.65/18.73 %--------------------------------------------------------------------------
% 18.65/18.73 cnf(element_1,axiom,
% 18.65/18.73 group_element(e_1) ).
% 18.65/18.73
% 18.65/18.73 cnf(element_2,axiom,
% 18.65/18.73 group_element(e_2) ).
% 18.65/18.73
% 18.65/18.73 cnf(element_3,axiom,
% 18.65/18.73 group_element(e_3) ).
% 18.65/18.73
% 18.65/18.73 cnf(e_1_is_not_e_2,axiom,
% 18.65/18.73 ~ equalish(e_1,e_2) ).
% 18.65/18.73
% 18.65/18.73 cnf(e_1_is_not_e_3,axiom,
% 18.65/18.73 ~ equalish(e_1,e_3) ).
% 18.65/18.73
% 18.65/18.73 cnf(e_2_is_not_e_1,axiom,
% 18.65/18.73 ~ equalish(e_2,e_1) ).
% 18.65/18.73
% 18.65/18.73 cnf(e_2_is_not_e_3,axiom,
% 18.65/18.73 ~ equalish(e_2,e_3) ).
% 18.65/18.73
% 18.65/18.73 cnf(e_3_is_not_e_1,axiom,
% 18.65/18.73 ~ equalish(e_3,e_1) ).
% 18.65/18.73
% 18.65/18.73 cnf(e_3_is_not_e_2,axiom,
% 18.65/18.73 ~ equalish(e_3,e_2) ).
% 18.65/18.73
% 18.65/18.73 cnf(product_total_function1,axiom,
% 18.65/18.73 ( ~ group_element(X)
% 18.65/18.73 | ~ group_element(Y)
% 18.65/18.73 | product(X,Y,e_1)
% 18.65/18.73 | product(X,Y,e_2)
% 18.65/18.73 | product(X,Y,e_3) ) ).
% 18.65/18.73
% 18.65/18.73 cnf(product_total_function2,axiom,
% 18.65/18.73 ( ~ product(X,Y,W)
% 18.65/18.73 | ~ product(X,Y,Z)
% 18.65/18.73 | equalish(W,Z) ) ).
% 18.65/18.73
% 18.65/18.73 cnf(product_right_cancellation,axiom,
% 18.65/18.73 ( ~ product(X,W,Y)
% 18.65/18.73 | ~ product(X,Z,Y)
% 18.65/18.73 | equalish(W,Z) ) ).
% 18.65/18.73
% 18.65/18.73 cnf(product_left_cancellation,axiom,
% 18.65/18.73 ( ~ product(W,Y,X)
% 18.65/18.73 | ~ product(Z,Y,X)
% 18.65/18.73 | equalish(W,Z) ) ).
% 18.65/18.73
% 18.65/18.73 cnf(qg3,negated_conjecture,
% 18.65/18.73 ( ~ product(X,Y,Z1)
% 18.65/18.73 | ~ product(Z1,Y,Z2)
% 18.65/18.73 | product(X,Z1,Z2) ) ).
% 18.65/18.73
% 18.65/18.73 %--------------------------------------------------------------------------
% 18.65/18.73 %-------------------------------------------
% 18.65/18.73 % Proof found
% 18.65/18.73 % SZS status Theorem for theBenchmark
% 18.65/18.73 % SZS output start Proof
% 18.65/18.73 %ClaNum:14(EqnAxiom:0)
% 18.65/18.73 %VarNum:41(SingletonVarNum:18)
% 18.65/18.73 %MaxLitNum:5
% 18.65/18.73 %MaxfuncDepth:0
% 18.65/18.73 %SharedTerms:12
% 18.65/18.73 %goalClause: 14
% 18.65/18.73 [1]P1(a1)
% 18.65/18.73 [2]P1(a2)
% 18.65/18.73 [3]P1(a3)
% 18.65/18.73 [4]~P2(a1,a2)
% 18.65/18.73 [5]~P2(a1,a3)
% 18.65/18.73 [6]~P2(a2,a1)
% 18.65/18.73 [7]~P2(a2,a3)
% 18.65/18.73 [8]~P2(a3,a1)
% 18.65/18.73 [9]~P2(a3,a2)
% 18.65/18.73 [11]~P3(x113,x114,x111)+P2(x111,x112)+~P3(x113,x114,x112)
% 18.65/18.73 [12]~P3(x123,x121,x124)+P2(x121,x122)+~P3(x123,x122,x124)
% 18.65/18.73 [13]~P3(x131,x133,x134)+P2(x131,x132)+~P3(x132,x133,x134)
% 18.65/18.73 [14]~P3(x141,x144,x142)+P3(x141,x142,x143)+~P3(x142,x144,x143)
% 18.65/18.73 [10]~P1(x102)+~P1(x101)+P3(x101,x102,a2)+P3(x101,x102,a3)+P3(x101,x102,a1)
% 18.65/18.73 %EqnAxiom
% 18.65/18.73
% 18.65/18.73 %-------------------------------------------
% 18.65/18.74 cnf(15,plain,
% 18.65/18.74 (~P3(a2,x151,x152)+~P3(a1,x151,x152)),
% 18.65/18.74 inference(scs_inference,[],[4,13])).
% 18.65/18.74 cnf(16,plain,
% 18.65/18.74 (~P3(x161,a2,x162)+~P3(x161,a1,x162)),
% 18.65/18.74 inference(scs_inference,[],[4,13,12])).
% 18.65/18.74 cnf(17,plain,
% 18.65/18.74 (~P3(x171,x172,a2)+~P3(x171,x172,a1)),
% 18.65/18.74 inference(scs_inference,[],[4,13,12,11])).
% 18.65/18.74 cnf(19,plain,
% 18.65/18.74 (P3(a2,a2,a2)+P3(a2,a2,a3)+P3(a2,a2,a1)),
% 18.65/18.74 inference(scs_inference,[],[2,10])).
% 18.65/18.74 cnf(21,plain,
% 18.65/18.74 (~P3(x211,x212,x213)+~P3(a1,x212,x211)+~P3(a2,x211,x213)),
% 18.65/18.74 inference(scs_inference,[],[15,14])).
% 18.65/18.74 cnf(25,plain,
% 18.65/18.74 (~P3(x251,x252,a3)+~P3(x253,x251,a1)+~P3(x253,x252,x251)),
% 18.65/18.74 inference(scs_inference,[],[5,11,14])).
% 18.65/18.74 cnf(28,plain,
% 18.65/18.74 (P3(a2,a2,a3)+P3(a2,a2,a1)+~P3(a1,a2,a2)),
% 18.65/18.74 inference(scs_inference,[],[21,19])).
% 18.65/18.74 cnf(29,plain,
% 18.65/18.74 (~P3(x291,a3,x292)+~P3(x291,a1,x292)),
% 18.65/18.74 inference(scs_inference,[],[5,12])).
% 18.65/18.74 cnf(30,plain,
% 18.65/18.74 (~P3(a3,x301,x302)+~P3(a1,x301,x302)),
% 18.65/18.74 inference(scs_inference,[],[5,12,13])).
% 18.65/18.74 cnf(32,plain,
% 18.65/18.74 (~P3(a1,x321,x322)+~P3(x323,x321,a1)+~P3(x323,a3,x322)),
% 18.65/18.74 inference(scs_inference,[],[29,14])).
% 18.65/18.74 cnf(33,plain,
% 18.65/18.74 (~P3(x331,x332,x333)+~P3(a1,x332,x331)+~P3(a3,x331,x333)),
% 18.65/18.74 inference(scs_inference,[],[30,14])).
% 18.65/18.74 cnf(38,plain,
% 18.65/18.74 (~P3(a3,x381,x382)+~P3(a2,x381,x382)),
% 18.65/18.74 inference(scs_inference,[],[7,13])).
% 18.65/18.74 cnf(39,plain,
% 18.65/18.74 (~P3(x391,a3,x392)+~P3(x391,a2,x392)),
% 18.65/18.74 inference(scs_inference,[],[7,13,12])).
% 18.65/18.74 cnf(42,plain,
% 18.65/18.74 (P3(a1,a1,a1)+P3(a1,a1,a2)+P3(a1,a1,a3)),
% 18.65/18.74 inference(scs_inference,[],[1,10])).
% 18.65/18.74 cnf(44,plain,
% 18.65/18.74 (~P3(a2,x441,x442)+~P3(x443,x441,a2)+~P3(x443,a3,x442)),
% 18.65/18.74 inference(scs_inference,[],[39,14])).
% 18.65/18.74 cnf(49,plain,
% 18.65/18.74 (P3(a1,a3,a3)+P3(a1,a3,a2)+~P3(a1,x491,a1)),
% 18.65/18.74 inference(scs_inference,[],[1,3,32,10])).
% 18.65/18.74 cnf(50,plain,
% 18.65/18.74 (P3(a1,a1,a2)+~P3(a3,a1,a1)+P3(a1,a1,a3)),
% 18.65/18.74 inference(scs_inference,[],[33,42])).
% 18.65/18.74 cnf(56,plain,
% 18.65/18.74 (P3(a1,a3,a2)+~P3(a3,a3,a3)+~P3(a1,x561,a1)),
% 18.65/18.74 inference(scs_inference,[],[49,30])).
% 18.65/18.74 cnf(61,plain,
% 18.65/18.74 (~P3(a3,x611,a3)+P3(a1,a3,a2)+~P3(a1,x612,a1)),
% 18.65/18.74 inference(scs_inference,[],[56,14])).
% 18.65/18.74 cnf(81,plain,
% 18.65/18.74 (~P3(x811,x812,x813)+~P3(a2,x812,x811)+~P3(a1,x811,x813)),
% 18.65/18.74 inference(scs_inference,[],[15,14])).
% 18.65/18.74 cnf(82,plain,
% 18.65/18.74 (P3(a1,a1,a1)+P3(a1,a1,a3)+~P3(a2,a1,a1)),
% 18.65/18.74 inference(scs_inference,[],[81,42])).
% 18.65/18.74 cnf(83,plain,
% 18.65/18.74 (P3(a1,a1,a3)+~P3(a2,a1,a1)),
% 18.65/18.74 inference(scs_inference,[],[82,81])).
% 18.65/18.74 cnf(97,plain,
% 18.65/18.74 (P3(a1,a1,a1)+P3(a1,a1,a2)+~P3(a2,a1,a3)),
% 18.65/18.74 inference(scs_inference,[],[15,42])).
% 18.65/18.74 cnf(100,plain,
% 18.65/18.74 (P3(a1,a1,a2)+~P3(a3,a1,a1)+~P3(a2,a1,a3)),
% 18.65/18.74 inference(scs_inference,[],[15,50])).
% 18.65/18.74 cnf(101,plain,
% 18.65/18.74 (~P3(a2,a1,a3)+~P3(a3,a1,a1)+~P3(a1,a3,a2)),
% 18.65/18.74 inference(scs_inference,[],[100,29])).
% 18.65/18.74 cnf(103,plain,
% 18.65/18.74 (P3(a1,a2,a1)+P3(a1,a2,a3)+~P3(a2,a2,a2)),
% 18.65/18.74 inference(scs_inference,[],[2,1,15,10])).
% 18.65/18.74 cnf(104,plain,
% 18.65/18.74 (~P3(a2,x1041,a2)+P3(a1,a2,a3)+P3(a1,a2,a1)),
% 18.65/18.74 inference(scs_inference,[],[103,14])).
% 18.65/18.74 cnf(105,plain,
% 18.65/18.74 (P3(a1,a2,a1)+~P3(a1,a3,a3)+~P3(a2,x1051,a2)),
% 18.65/18.74 inference(scs_inference,[],[104,39])).
% 18.65/18.74 cnf(132,plain,
% 18.65/18.74 (~P3(a1,a1,a3)+P3(a2,a1,a2)+P3(a2,a1,a1)),
% 18.65/18.74 inference(scs_inference,[],[1,2,15,10])).
% 18.65/18.74 cnf(135,plain,
% 18.65/18.74 (~P3(a1,a3,a2)+P3(a2,a3,a1)+P3(a2,a3,a3)),
% 18.65/18.74 inference(scs_inference,[],[3,2,15,10])).
% 18.65/18.74 cnf(140,plain,
% 18.65/18.74 (~P3(a2,x1401,x1402)+~P3(x1403,x1401,a2)+~P3(x1403,a1,x1402)),
% 18.65/18.74 inference(scs_inference,[],[16,14])).
% 18.65/18.74 cnf(162,plain,
% 18.65/18.74 (~P3(a1,a3,a3)+~P3(a1,a1,a1)+~P3(a2,x1621,a2)),
% 18.65/18.74 inference(scs_inference,[],[16,105])).
% 18.65/18.74 cnf(163,plain,
% 18.65/18.74 (~P3(a1,x1631,a1)+~P3(a1,a3,a3)+~P3(a2,x1632,a2)),
% 18.65/18.74 inference(scs_inference,[],[162,14])).
% 18.65/18.74 cnf(164,plain,
% 18.65/18.74 (P3(a1,a3,a2)+~P3(a1,x1641,a1)+~P3(a1,x1642,a1)+~P3(a2,x1643,a2)),
% 18.65/18.74 inference(scs_inference,[],[163,49])).
% 18.65/18.74 cnf(220,plain,
% 18.65/18.74 (~P3(a1,a1,a1)+P3(a1,a2,a2)+P3(a1,a2,a3)),
% 18.65/18.74 inference(scs_inference,[],[1,2,16,10])).
% 18.65/18.74 cnf(221,plain,
% 18.65/18.74 (~P3(a1,x2211,a1)+P3(a1,a2,a3)+P3(a1,a2,a2)),
% 18.65/18.74 inference(scs_inference,[],[220,14])).
% 18.65/18.74 cnf(228,plain,
% 18.65/18.74 (P3(a3,a1,a3)+P3(a3,a1,a1)+~P3(a3,a2,a2)),
% 18.65/18.74 inference(scs_inference,[],[1,3,16,10])).
% 18.65/18.74 cnf(242,plain,
% 18.65/18.74 (~P3(x2421,x2422,a2)+~P3(x2423,x2422,x2421)+~P3(x2423,x2421,a1)),
% 18.65/18.74 inference(scs_inference,[],[17,14])).
% 18.65/18.74 cnf(272,plain,
% 18.65/18.74 (~P3(a3,x2721,x2722)+~P3(x2723,x2721,a3)+~P3(x2723,a1,x2722)),
% 18.65/18.74 inference(scs_inference,[],[29,14])).
% 18.65/18.74 cnf(284,plain,
% 18.65/18.74 (~P3(a1,a3,a2)+P3(a2,a3,a1)+~P3(a2,a1,a3)),
% 18.65/18.74 inference(scs_inference,[],[29,135])).
% 18.65/18.74 cnf(307,plain,
% 18.65/18.74 (~P3(a2,a1,a3)+P3(a2,a3,a1)+P3(a2,a3,a2)),
% 18.65/18.74 inference(scs_inference,[],[3,2,29,10])).
% 18.65/18.74 cnf(353,plain,
% 18.65/18.74 (~P3(a1,a1,a1)+P3(a3,a1,a3)+P3(a3,a1,a2)),
% 18.65/18.74 inference(scs_inference,[],[1,3,30,10])).
% 18.65/18.74 cnf(354,plain,
% 18.65/18.74 (~P3(a1,x3541,a1)+P3(a3,a1,a2)+P3(a3,a1,a3)),
% 18.65/18.74 inference(scs_inference,[],[353,14])).
% 18.65/18.74 cnf(355,plain,
% 18.65/18.74 (P3(a3,a1,a3)+~P3(a3,a2,a2)+~P3(a1,x3551,a1)),
% 18.65/18.74 inference(scs_inference,[],[354,16])).
% 18.65/18.74 cnf(356,plain,
% 18.65/18.74 (P3(a3,a1,a3)+P3(a3,a2,a1)+P3(a3,a2,a3)+~P3(a1,x3561,a1)),
% 18.65/18.74 inference(scs_inference,[],[2,3,355,10])).
% 18.65/18.74 cnf(357,plain,
% 18.65/18.74 (P3(a1,a2,a1)+P3(a1,a2,a2)+~P3(a3,a2,a3)),
% 18.65/18.74 inference(scs_inference,[],[1,2,30,10])).
% 18.65/18.74 cnf(358,plain,
% 18.65/18.74 (~P3(a2,x3581,a3)+~P3(a3,x3581,a2)+P3(a1,a2,a1)+P3(a1,a2,a2)),
% 18.65/18.74 inference(scs_inference,[],[357,14])).
% 18.65/18.74 cnf(359,plain,
% 18.65/18.74 (~P3(x3591,x3592,x3593)+~P3(a3,x3592,x3591)+~P3(a1,x3591,x3593)),
% 18.65/18.74 inference(scs_inference,[],[30,14])).
% 18.65/18.74 cnf(381,plain,
% 18.65/18.74 (P3(a1,a2,a1)+~P3(a3,a2,a3)+~P3(a2,x3811,a2)),
% 18.65/18.74 inference(scs_inference,[],[30,104])).
% 18.65/18.74 cnf(382,plain,
% 18.65/18.74 (~P3(a2,x3821,a3)+~P3(a3,x3821,a2)+P3(a1,a2,a1)+~P3(a2,x3822,a2)),
% 18.65/18.74 inference(scs_inference,[],[381,14])).
% 18.65/18.74 cnf(385,plain,
% 18.65/18.74 (P3(a1,a2,a2)+~P3(a3,a2,a3)+~P3(a1,x3851,a1)),
% 18.65/18.74 inference(scs_inference,[],[30,221])).
% 18.65/18.74 cnf(386,plain,
% 18.65/18.74 (~P3(a2,x3861,a3)+~P3(a3,x3861,a2)+P3(a1,a2,a2)+~P3(a1,x3862,a1)),
% 18.65/18.74 inference(scs_inference,[],[385,14])).
% 18.65/18.74 cnf(397,plain,
% 18.65/18.74 (P3(a1,a2,a3)+~P3(a3,a2,a1)+~P3(a2,x3971,a2)),
% 18.65/18.74 inference(scs_inference,[],[30,104])).
% 18.65/18.74 cnf(398,plain,
% 18.65/18.74 (P3(a1,a2,a3)+P3(a3,a2,a3)+P3(a3,a2,a2)+~P3(a2,x3981,a2)),
% 18.65/18.74 inference(scs_inference,[],[2,3,397,10])).
% 18.65/18.74 cnf(424,plain,
% 18.65/18.74 (~P3(a3,a2,a2)+~P3(a2,a1,a3)+~P3(a1,x4241,a1)),
% 18.65/18.75 inference(scs_inference,[],[38,355])).
% 18.65/18.75 cnf(446,plain,
% 18.65/18.75 (~P3(a2,a1,a3)+P3(a2,a3,a1)+~P3(a3,a3,a2)),
% 18.65/18.75 inference(scs_inference,[],[38,307])).
% 18.65/18.75 cnf(495,plain,
% 18.65/18.75 (~P3(a2,a1,a3)+P3(a3,a1,a1)+P3(a3,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[1,3,38,10])).
% 18.65/18.75 cnf(501,plain,
% 18.65/18.75 (P3(a2,a2,a1)+~P3(a1,a2,a2)+~P3(a3,a2,a3)),
% 18.65/18.75 inference(scs_inference,[],[38,28])).
% 18.65/18.75 cnf(506,plain,
% 18.65/18.75 (~P3(a1,a2,a2)+P3(a2,a2,a3)+~P3(a3,a2,a1)),
% 18.65/18.75 inference(scs_inference,[],[38,28])).
% 18.65/18.75 cnf(507,plain,
% 18.65/18.75 (P3(a2,a2,a3)+~P3(a1,a2,a2)+P3(a3,a2,a3)+P3(a3,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[2,3,506,10])).
% 18.65/18.75 cnf(508,plain,
% 18.65/18.75 (~P3(a2,a2,a1)+P3(a3,a2,a3)+P3(a3,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[3,2,38,10])).
% 18.65/18.75 cnf(535,plain,
% 18.65/18.75 (P3(a2,a2,a2)+P3(a2,a2,a3)+~P3(a3,a2,a1)),
% 18.65/18.75 inference(scs_inference,[],[2,38,10])).
% 18.65/18.75 cnf(541,plain,
% 18.65/18.75 (P3(a2,a3,a2)+P3(a2,a3,a1)+~P3(a3,a3,a3)),
% 18.65/18.75 inference(scs_inference,[],[3,2,38,10])).
% 18.65/18.75 cnf(542,plain,
% 18.65/18.75 (~P3(a3,x5421,a3)+P3(a2,a3,a2)+P3(a2,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[541,14])).
% 18.65/18.75 cnf(543,plain,
% 18.65/18.75 (P3(a2,a3,a1)+~P3(a3,x5431,a3)),
% 18.65/18.75 inference(scs_inference,[],[542,44])).
% 18.65/18.75 cnf(559,plain,
% 18.65/18.75 (~P3(a2,a2,a1)+~P3(a3,x5591,a3)),
% 18.65/18.75 inference(scs_inference,[],[39,543])).
% 18.65/18.75 cnf(560,plain,
% 18.65/18.75 (~P3(a1,a2,a2)+~P3(a3,a2,a3)+~P3(a3,x5601,a3)),
% 18.65/18.75 inference(scs_inference,[],[559,501])).
% 18.65/18.75 cnf(561,plain,
% 18.65/18.75 (~P3(a1,a2,a2)+~P3(a3,a2,a3)),
% 18.65/18.75 inference(factoring_inference,[],[560])).
% 18.65/18.75 cnf(562,plain,
% 18.65/18.75 (~P3(a1,a2,a2)+P3(a3,a2,a1)+P3(a3,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[2,3,561,10])).
% 18.65/18.75 cnf(563,plain,
% 18.65/18.75 (P3(a3,a2,a2)+P3(a3,a2,a1)+P3(a1,a2,a3)+~P3(a1,x5631,a1)),
% 18.65/18.75 inference(scs_inference,[],[562,221])).
% 18.65/18.75 cnf(593,plain,
% 18.65/18.75 (~P3(a3,x5931,x5932)+~P3(x5933,x5931,a3)+~P3(x5933,a2,x5932)),
% 18.65/18.75 inference(scs_inference,[],[39,14])).
% 18.65/18.75 cnf(711,plain,
% 18.65/18.75 (P3(a2,a2,a3)+P3(a2,a2,a2)+~P3(a2,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[39,19])).
% 18.65/18.75 cnf(712,plain,
% 18.65/18.75 (P3(a2,a2,a2)+P3(a2,a2,a3)+~P3(a1,a3,a2)+~P3(a2,a1,a3)),
% 18.65/18.75 inference(scs_inference,[],[711,284])).
% 18.65/18.75 cnf(747,plain,
% 18.65/18.75 (~P3(a2,a2,a2)+P3(a2,a3,a3)+P3(a2,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[2,3,39,10])).
% 18.65/18.75 cnf(748,plain,
% 18.65/18.75 (~P3(a2,x7481,a2)+P3(a2,a3,a1)+P3(a2,a3,a3)),
% 18.65/18.75 inference(scs_inference,[],[747,14])).
% 18.65/18.75 cnf(779,plain,
% 18.65/18.75 (~P3(a2,a1,a1)+~P3(x7791,a1,a1)),
% 18.65/18.75 inference(scs_inference,[],[83,25])).
% 18.65/18.75 cnf(780,plain,
% 18.65/18.75 (~P3(a2,a1,a1)),
% 18.65/18.75 inference(factoring_inference,[],[779])).
% 18.65/18.75 cnf(782,plain,
% 18.65/18.75 (~P3(a1,a1,a3)+P3(a2,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[780,132])).
% 18.65/18.75 cnf(796,plain,
% 18.65/18.75 (P3(a2,a1,a3)+P3(a2,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[780,1,2,10])).
% 18.65/18.75 cnf(797,plain,
% 18.65/18.75 (~P3(a2,a2,x7971)+P3(a2,a1,a2)+~P3(a3,a1,x7971)),
% 18.65/18.75 inference(scs_inference,[],[780,1,2,10,593])).
% 18.65/18.75 cnf(812,plain,
% 18.65/18.75 (P3(a1,a1,a2)+P3(a1,a1,a1)+P3(a2,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[782,42])).
% 18.65/18.75 cnf(818,plain,
% 18.65/18.75 (P3(a2,a1,a3)),
% 18.65/18.75 inference(scs_inference,[],[796,140])).
% 18.65/18.75 cnf(821,plain,
% 18.65/18.75 (P3(a1,a1,a2)+P3(a1,a1,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,97])).
% 18.65/18.75 cnf(824,plain,
% 18.65/18.75 (~P3(a1,a3,a2)+~P3(a3,a1,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,101])).
% 18.65/18.75 cnf(833,plain,
% 18.65/18.75 (P3(a2,a3,a2)+P3(a2,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,307])).
% 18.65/18.75 cnf(838,plain,
% 18.65/18.75 (~P3(a3,a2,a2)+~P3(a1,x8381,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,424])).
% 18.65/18.75 cnf(841,plain,
% 18.65/18.75 (~P3(a3,a3,a2)+P3(a2,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,446])).
% 18.65/18.75 cnf(843,plain,
% 18.65/18.75 (P3(a3,a1,a2)+P3(a3,a1,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,495])).
% 18.65/18.75 cnf(847,plain,
% 18.65/18.75 (~P3(a1,a3,a2)+P3(a2,a2,a3)+P3(a2,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,712])).
% 18.65/18.75 cnf(848,plain,
% 18.65/18.75 (~P3(a2,a3,a3)),
% 18.65/18.75 inference(scs_inference,[],[818,29])).
% 18.65/18.75 cnf(850,plain,
% 18.65/18.75 (~P3(a2,a2,a3)),
% 18.65/18.75 inference(scs_inference,[],[818,29,16])).
% 18.65/18.75 cnf(854,plain,
% 18.65/18.75 (~P3(a3,a1,a3)),
% 18.65/18.75 inference(scs_inference,[],[818,29,16,15,272])).
% 18.65/18.75 cnf(856,plain,
% 18.65/18.75 (~P3(a2,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,29,16,15,272,140])).
% 18.65/18.75 cnf(867,plain,
% 18.65/18.75 (~P3(a1,a3,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,1,3,29,16,15,272,140,13,11,847,797,10,824])).
% 18.65/18.75 cnf(868,plain,
% 18.65/18.75 (P3(a2,a2,a1)+P3(a2,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[850,19])).
% 18.65/18.75 cnf(876,plain,
% 18.65/18.75 (~P3(a3,x8761,a3)+~P3(a1,x8762,a1)),
% 18.65/18.75 inference(scs_inference,[],[867,61])).
% 18.65/18.75 cnf(882,plain,
% 18.65/18.75 (~P3(a1,x8821,a1)+~P3(a1,x8822,a1)+~P3(a2,x8823,a2)),
% 18.65/18.75 inference(scs_inference,[],[867,164])).
% 18.65/18.75 cnf(886,plain,
% 18.65/18.75 (~P3(a3,a2,a2)+P3(a3,a1,a1)),
% 18.65/18.75 inference(scs_inference,[],[854,228])).
% 18.65/18.75 cnf(897,plain,
% 18.65/18.75 (P3(a3,a2,a3)+P3(a3,a2,a1)+~P3(a1,x8971,a1)),
% 18.65/18.75 inference(scs_inference,[],[854,356])).
% 18.65/18.75 cnf(906,plain,
% 18.65/18.75 (~P3(a1,a2,a2)+P3(a3,a2,a2)+P3(a3,a2,a3)),
% 18.65/18.75 inference(scs_inference,[],[850,507])).
% 18.65/18.75 cnf(909,plain,
% 18.65/18.75 (~P3(a3,a2,a1)+P3(a2,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[850,535])).
% 18.65/18.75 cnf(923,plain,
% 18.65/18.75 (~P3(a2,a3,a1)+P3(a2,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[850,711])).
% 18.65/18.75 cnf(932,plain,
% 18.65/18.75 (P3(a2,a3,a1)+~P3(a2,x9321,a2)),
% 18.65/18.75 inference(scs_inference,[],[848,748])).
% 18.65/18.75 cnf(942,plain,
% 18.65/18.75 (~P3(a3,a1,x9421)+~P3(a2,a2,x9421)),
% 18.65/18.75 inference(scs_inference,[],[856,797])).
% 18.65/18.75 cnf(950,plain,
% 18.65/18.75 (P3(a1,a1,a2)+P3(a1,a1,a1)),
% 18.65/18.75 inference(scs_inference,[],[856,812])).
% 18.65/18.75 cnf(970,plain,
% 18.65/18.75 (P3(a1,a1,a2)+~P3(a2,x9701,a1)+~P3(a1,x9701,a2)),
% 18.65/18.75 inference(scs_inference,[],[821,140])).
% 18.65/18.75 cnf(975,plain,
% 18.65/18.75 (P3(a1,a2,a2)+~P3(a3,a1,a2)+~P3(a1,x9751,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,359,563,398,386])).
% 18.65/18.75 cnf(994,plain,
% 18.65/18.75 (P3(a1,a2,a1)+~P3(a3,a1,a2)+~P3(a2,x9941,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,382])).
% 18.65/18.75 cnf(998,plain,
% 18.65/18.75 (P3(a1,a2,a1)+~P3(x9981,a3,a2)+~P3(x9981,a2,a1)+~P3(a3,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,382,358,32])).
% 18.65/18.75 cnf(1004,plain,
% 18.65/18.75 (P3(a1,a2,a1)+~P3(a2,a2,x10041)+~P3(a3,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,382,358,32,14,140,15])).
% 18.65/18.75 cnf(1018,plain,
% 18.65/18.75 (~P3(x10181,a3,a3)+~P3(x10181,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,44])).
% 18.65/18.75 cnf(1020,plain,
% 18.65/18.75 (P3(a1,a1,a1)+~P3(a1,a3,a3)),
% 18.65/18.75 inference(scs_inference,[],[818,44,950])).
% 18.65/18.75 cnf(1023,plain,
% 18.65/18.75 (~P3(a3,a1,a1)+~P3(a1,a3,a3)),
% 18.65/18.75 inference(scs_inference,[],[818,8,44,950,16,13])).
% 18.65/18.75 cnf(1032,plain,
% 18.65/18.75 (~P3(a3,a1,a1)+P3(a1,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[867,818,1,3,13,10,1023])).
% 18.65/18.75 cnf(1033,plain,
% 18.65/18.75 (P3(a1,a1,a1)+P3(a1,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[867,818,1,3,13,10,1023,1020])).
% 18.65/18.75 cnf(1036,plain,
% 18.65/18.75 (P3(a3,a1,a2)+P3(a1,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[867,818,1,3,13,10,1023,1020,876,843])).
% 18.65/18.75 cnf(1037,plain,
% 18.65/18.75 (~P3(a3,a2,a2)+P3(a1,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[867,818,1,3,13,10,1023,1020,876,843,838])).
% 18.65/18.75 cnf(1043,plain,
% 18.65/18.75 (P3(a1,a2,a2)+P3(a1,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[867,818,1,3,13,10,1023,1020,876,843,838,17,1004,994,975])).
% 18.65/18.75 cnf(1047,plain,
% 18.65/18.75 (P3(a3,a2,a1)+P3(a1,a3,a1)),
% 18.65/18.75 inference(scs_inference,[],[867,818,1,3,13,10,1023,1020,876,843,838,17,1004,994,975,970,906,897])).
% 18.65/18.75 cnf(1074,plain,
% 18.65/18.75 (~P3(a3,a1,a1)),
% 18.65/18.75 inference(scs_inference,[],[818,867,1,3,81,10,1047,1043,1037,1036,1033,1032])).
% 18.65/18.75 cnf(1078,plain,
% 18.65/18.75 (P3(a3,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[1074,843])).
% 18.65/18.75 cnf(1079,plain,
% 18.65/18.75 (~P3(a3,a2,a2)),
% 18.65/18.75 inference(scs_inference,[],[1074,886])).
% 18.65/18.75 cnf(1092,plain,
% 18.65/18.75 (~P3(a2,a2,a1)+P3(a3,a2,a2)+~P3(a3,a1,a2)),
% 18.65/18.75 inference(scs_inference,[],[818,848,2,3,13,242,12,10,932,543,882,508])).
% 18.65/18.75 cnf(1109,plain,
% 18.65/18.75 (P3(a3,a2,a1)+P3(a1,a2,a3)+~P3(a1,x11091,a1)),
% 18.65/18.75 inference(scs_inference,[],[1079,563])).
% 18.65/18.75 cnf(1127,plain,
% 18.65/18.75 (P3(a1,a2,a1)+~P3(x11271,a2,a1)+~P3(x11271,a3,a2)),
% 18.65/18.75 inference(scs_inference,[],[1078,998])).
% 18.65/18.75 cnf(1143,plain,
% 18.65/18.75 ($false),
% 18.65/18.75 inference(scs_inference,[],[1079,1078,1018,942,923,909,868,841,833,559,1127,1109,1092]),
% 18.65/18.75 ['proof']).
% 18.65/18.75 % SZS output end Proof
% 18.65/18.75 % Total time :18.110000s
%------------------------------------------------------------------------------