TSTP Solution File: GRP133-1.003 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP133-1.003 : 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 : n011.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 00:11:12 EDT 2023
% Result : Unsatisfiable 35.81s 35.86s
% Output : CNFRefutation 35.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.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 02:19:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 35.81/35.85 %-------------------------------------------
% 35.81/35.85 % File :CSE---1.6
% 35.81/35.85 % Problem :theBenchmark
% 35.81/35.85 % Transform :cnf
% 35.81/35.85 % Format :tptp:raw
% 35.81/35.85 % Command :java -jar mcs_scs.jar %d %s
% 35.81/35.85
% 35.81/35.85 % Result :Theorem 35.230000s
% 35.81/35.85 % Output :CNFRefutation 35.230000s
% 35.81/35.85 %-------------------------------------------
% 35.81/35.85 %--------------------------------------------------------------------------
% 35.81/35.85 % File : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% 35.81/35.85 % Domain : Group Theory (Quasigroups)
% 35.81/35.85 % Problem : (a.b).(b.a) = a, no idempotence
% 35.81/35.85 % Version : [Sla93] axioms.
% 35.81/35.85 % English : Generate the multiplication table for the specified quasi-
% 35.81/35.85 % group with 3 elements.
% 35.81/35.85
% 35.81/35.85 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 35.81/35.85 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 35.81/35.85 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 35.81/35.85 % Source : [Sla93]
% 35.81/35.85 % Names : QG3-ni [Sla93]
% 35.81/35.85
% 35.81/35.85 % Status : Unsatisfiable
% 35.81/35.85 % Rating : 0.00 v2.1.0
% 35.81/35.85 % Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR)
% 35.81/35.86 % Number of literals : 26 ( 0 equ; 16 neg)
% 35.81/35.86 % Maximal clause size : 5 ( 1 avg)
% 35.81/35.86 % Maximal term depth : 1 ( 1 avg)
% 35.81/35.86 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 35.81/35.86 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 35.81/35.86 % Number of variables : 18 ( 0 sgn)
% 35.81/35.86 % SPC : CNF_UNS_EPR_NEQ_NHN
% 35.81/35.86
% 35.81/35.86 % Comments : Slaney's [1993] axiomatization has been modified for this.
% 35.81/35.86 % : Substitution axioms are not needed, as any positive equality
% 35.81/35.86 % literals should resolve on negative ones directly.
% 35.81/35.86 % : tptp2X: -f tptp -s3 GRP133-1.g
% 35.81/35.86 %--------------------------------------------------------------------------
% 35.81/35.86 cnf(element_1,axiom,
% 35.81/35.86 group_element(e_1) ).
% 35.81/35.86
% 35.81/35.86 cnf(element_2,axiom,
% 35.81/35.86 group_element(e_2) ).
% 35.81/35.86
% 35.81/35.86 cnf(element_3,axiom,
% 35.81/35.86 group_element(e_3) ).
% 35.81/35.86
% 35.81/35.86 cnf(e_1_is_not_e_2,axiom,
% 35.81/35.86 ~ equalish(e_1,e_2) ).
% 35.81/35.86
% 35.81/35.86 cnf(e_1_is_not_e_3,axiom,
% 35.81/35.86 ~ equalish(e_1,e_3) ).
% 35.81/35.86
% 35.81/35.86 cnf(e_2_is_not_e_1,axiom,
% 35.81/35.86 ~ equalish(e_2,e_1) ).
% 35.81/35.86
% 35.81/35.86 cnf(e_2_is_not_e_3,axiom,
% 35.81/35.86 ~ equalish(e_2,e_3) ).
% 35.81/35.86
% 35.81/35.86 cnf(e_3_is_not_e_1,axiom,
% 35.81/35.86 ~ equalish(e_3,e_1) ).
% 35.81/35.86
% 35.81/35.86 cnf(e_3_is_not_e_2,axiom,
% 35.81/35.86 ~ equalish(e_3,e_2) ).
% 35.81/35.86
% 35.81/35.86 cnf(product_total_function1,axiom,
% 35.81/35.86 ( ~ group_element(X)
% 35.81/35.86 | ~ group_element(Y)
% 35.81/35.86 | product(X,Y,e_1)
% 35.81/35.86 | product(X,Y,e_2)
% 35.81/35.86 | product(X,Y,e_3) ) ).
% 35.81/35.86
% 35.81/35.86 cnf(product_total_function2,axiom,
% 35.81/35.86 ( ~ product(X,Y,W)
% 35.81/35.86 | ~ product(X,Y,Z)
% 35.81/35.86 | equalish(W,Z) ) ).
% 35.81/35.86
% 35.81/35.86 cnf(product_right_cancellation,axiom,
% 35.81/35.86 ( ~ product(X,W,Y)
% 35.81/35.86 | ~ product(X,Z,Y)
% 35.81/35.86 | equalish(W,Z) ) ).
% 35.81/35.86
% 35.81/35.86 cnf(product_left_cancellation,axiom,
% 35.81/35.86 ( ~ product(W,Y,X)
% 35.81/35.86 | ~ product(Z,Y,X)
% 35.81/35.86 | equalish(W,Z) ) ).
% 35.81/35.86
% 35.81/35.86 cnf(qg3,negated_conjecture,
% 35.81/35.86 ( ~ product(X,Y,Z1)
% 35.81/35.86 | ~ product(Y,X,Z2)
% 35.81/35.86 | product(Z1,Z2,X) ) ).
% 35.81/35.86
% 35.81/35.86 %--------------------------------------------------------------------------
% 35.81/35.86 %-------------------------------------------
% 35.81/35.86 % Proof found
% 35.81/35.86 % SZS status Theorem for theBenchmark
% 35.81/35.86 % SZS output start Proof
% 35.81/35.86 %ClaNum:14(EqnAxiom:0)
% 35.81/35.86 %VarNum:41(SingletonVarNum:18)
% 35.81/35.86 %MaxLitNum:5
% 35.81/35.86 %MaxfuncDepth:0
% 35.81/35.86 %SharedTerms:12
% 35.81/35.86 %goalClause: 14
% 35.81/35.86 [1]P1(a1)
% 35.81/35.86 [2]P1(a2)
% 35.81/35.86 [3]P1(a3)
% 35.81/35.86 [4]~P2(a1,a2)
% 35.81/35.86 [5]~P2(a1,a3)
% 35.81/35.86 [6]~P2(a2,a1)
% 35.81/35.86 [7]~P2(a2,a3)
% 35.81/35.86 [8]~P2(a3,a1)
% 35.81/35.86 [9]~P2(a3,a2)
% 35.81/35.86 [11]~P3(x113,x114,x111)+P2(x111,x112)+~P3(x113,x114,x112)
% 35.81/35.86 [12]~P3(x123,x121,x124)+P2(x121,x122)+~P3(x123,x122,x124)
% 35.81/35.86 [13]~P3(x131,x133,x134)+P2(x131,x132)+~P3(x132,x133,x134)
% 35.81/35.86 [14]~P3(x143,x144,x141)+P3(x141,x142,x143)+~P3(x144,x143,x142)
% 35.81/35.86 [10]~P1(x102)+~P1(x101)+P3(x101,x102,a2)+P3(x101,x102,a3)+P3(x101,x102,a1)
% 35.81/35.86 %EqnAxiom
% 35.81/35.86
% 35.81/35.86 %-------------------------------------------
% 35.81/35.87 cnf(15,plain,
% 35.81/35.87 (~P3(a2,x151,x152)+~P3(a1,x151,x152)),
% 35.81/35.87 inference(scs_inference,[],[4,13])).
% 35.81/35.87 cnf(16,plain,
% 35.81/35.87 (~P3(x161,a2,x162)+~P3(x161,a1,x162)),
% 35.81/35.87 inference(scs_inference,[],[4,13,12])).
% 35.81/35.87 cnf(17,plain,
% 35.81/35.87 (~P3(x171,x172,a2)+~P3(x171,x172,a1)),
% 35.81/35.87 inference(scs_inference,[],[4,13,12,11])).
% 35.81/35.87 cnf(19,plain,
% 35.81/35.87 (P3(a2,a2,a2)+P3(a2,a2,a3)+P3(a2,a2,a1)),
% 35.81/35.87 inference(scs_inference,[],[2,10])).
% 35.81/35.87 cnf(22,plain,
% 35.81/35.87 (~P3(x221,x222,a1)+~P3(x222,x221,x223)+~P3(x223,a2,x222)),
% 35.81/35.87 inference(scs_inference,[],[16,14])).
% 35.81/35.87 cnf(23,plain,
% 35.81/35.87 (~P3(x231,a1,x232)+~P3(a1,x231,x233)+~P3(x233,x232,a2)),
% 35.81/35.87 inference(scs_inference,[],[17,14])).
% 35.81/35.87 cnf(29,plain,
% 35.81/35.87 (~P3(x291,a3,x292)+~P3(x291,a1,x292)),
% 35.81/35.87 inference(scs_inference,[],[5,12])).
% 35.81/35.87 cnf(30,plain,
% 35.81/35.87 (~P3(a3,x301,x302)+~P3(a1,x301,x302)),
% 35.81/35.87 inference(scs_inference,[],[5,12,13])).
% 35.81/35.87 cnf(33,plain,
% 35.81/35.87 (~P3(x331,x332,x333)+~P3(x332,x331,a1)+~P3(a3,x333,x332)),
% 35.81/35.87 inference(scs_inference,[],[30,14])).
% 35.81/35.87 cnf(36,plain,
% 35.81/35.87 (~P3(x361,a2,x362)+~P3(a2,x361,x363)+~P3(x364,a1,x362)+~P3(a1,x364,x363)),
% 35.81/35.87 inference(scs_inference,[],[23,14])).
% 35.81/35.87 cnf(38,plain,
% 35.81/35.87 (~P3(a3,x381,x382)+~P3(a2,x381,x382)),
% 35.81/35.87 inference(scs_inference,[],[7,13])).
% 35.81/35.87 cnf(39,plain,
% 35.81/35.87 (~P3(x391,a3,x392)+~P3(x391,a2,x392)),
% 35.81/35.87 inference(scs_inference,[],[7,13,12])).
% 35.81/35.87 cnf(41,plain,
% 35.81/35.87 (P3(a1,a1,a1)+P3(a1,a1,a3)+P3(a1,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[1,10])).
% 35.81/35.87 cnf(45,plain,
% 35.81/35.87 (P3(a2,a2,a3)+~P3(a3,a1,a2)+P3(a2,a2,a2)),
% 35.81/35.87 inference(scs_inference,[],[33,19])).
% 35.81/35.87 cnf(65,plain,
% 35.81/35.87 (P3(a1,a1,a3)+P3(a1,a1,a2)+~P3(a2,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[15,41])).
% 35.81/35.87 cnf(83,plain,
% 35.81/35.87 (P3(a1,a1,a2)+P3(a1,a1,a1)+~P3(a2,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[15,41])).
% 35.81/35.87 cnf(84,plain,
% 35.81/35.87 (P3(a1,a1,a1)+~P3(a2,a1,a3)+~P3(a3,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[83,30])).
% 35.81/35.87 cnf(87,plain,
% 35.81/35.87 (P3(a2,a2,a1)+P3(a2,a2,a2)+~P3(a1,a2,a3)),
% 35.81/35.87 inference(scs_inference,[],[15,19])).
% 35.81/35.87 cnf(88,plain,
% 35.81/35.87 (P3(a1,a1,a2)+P3(a2,a2,a2)+~P3(a1,a2,a3)),
% 35.81/35.87 inference(scs_inference,[],[87,14])).
% 35.81/35.87 cnf(99,plain,
% 35.81/35.87 (P3(a2,a2,a2)+~P3(a1,a2,a3)+~P3(a2,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[15,88])).
% 35.81/35.87 cnf(100,plain,
% 35.81/35.87 (~P3(a1,a2,a3)+~P3(a2,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[99,16])).
% 35.81/35.87 cnf(105,plain,
% 35.81/35.87 (P3(a1,a1,a3)+P3(a1,a1,a1)+~P3(a2,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[15,41])).
% 35.81/35.87 cnf(113,plain,
% 35.81/35.87 (P3(a1,a2,a3)+P3(a1,a2,a1)+~P3(a2,a2,a2)),
% 35.81/35.87 inference(scs_inference,[],[2,1,15,10])).
% 35.81/35.87 cnf(126,plain,
% 35.81/35.87 (P3(a1,a2,a2)+P3(a1,a2,a3)+~P3(a2,a2,a1)),
% 35.81/35.87 inference(scs_inference,[],[2,1,15,10])).
% 35.81/35.87 cnf(136,plain,
% 35.81/35.87 (P3(a1,a3,a1)+P3(a1,a3,a3)+~P3(a2,a3,a2)),
% 35.81/35.87 inference(scs_inference,[],[3,1,15,10])).
% 35.81/35.87 cnf(190,plain,
% 35.81/35.87 (~P3(a2,a2,a2)+P3(a1,a2,a3)+~P3(a1,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[16,113])).
% 35.81/35.87 cnf(208,plain,
% 35.81/35.87 (P3(a3,a1,a2)+P3(a3,a1,a1)+~P3(a3,a2,a3)),
% 35.81/35.87 inference(scs_inference,[],[1,3,16,10])).
% 35.81/35.87 cnf(214,plain,
% 35.81/35.87 (~P3(a2,a2,a1)+P3(a1,a2,a3)+~P3(a1,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[16,126])).
% 35.81/35.87 cnf(226,plain,
% 35.81/35.87 (~P3(x2261,x2262,a2)+~P3(x2262,x2261,x2263)+~P3(x2263,a1,x2262)),
% 35.81/35.87 inference(scs_inference,[],[16,14])).
% 35.81/35.87 cnf(227,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+P3(a1,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[226,65])).
% 35.81/35.87 cnf(231,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(a1,a2,a3)),
% 35.81/35.87 inference(scs_inference,[],[16,227])).
% 35.81/35.87 cnf(238,plain,
% 35.81/35.87 (P3(a2,a1,a3)+P3(a2,a1,a1)+~P3(a2,a2,a2)),
% 35.81/35.87 inference(scs_inference,[],[1,2,16,10])).
% 35.81/35.87 cnf(244,plain,
% 35.81/35.87 (~P3(a3,a1,a2)+P3(a3,a2,a3)+P3(a3,a2,a1)),
% 35.81/35.87 inference(scs_inference,[],[2,3,16,10])).
% 35.81/35.87 cnf(297,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(a1,a3,a3)),
% 35.81/35.87 inference(scs_inference,[],[29,227])).
% 35.81/35.87 cnf(300,plain,
% 35.81/35.87 (~P3(x3001,x3002,a3)+~P3(x3002,x3001,x3003)+~P3(x3003,a1,x3002)),
% 35.81/35.87 inference(scs_inference,[],[29,14])).
% 35.81/35.87 cnf(304,plain,
% 35.81/35.87 (~P3(a3,a1,a2)+P3(a3,a3,a3)+P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[3,29,10])).
% 35.81/35.87 cnf(308,plain,
% 35.81/35.87 (P3(a3,a1,a3)+P3(a3,a1,a1)+~P3(a3,a3,a2)),
% 35.81/35.87 inference(scs_inference,[],[1,3,29,10])).
% 35.81/35.87 cnf(317,plain,
% 35.81/35.87 (P3(a3,a1,a2)+P3(a3,a1,a3)+~P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[1,3,29,10])).
% 35.81/35.87 cnf(349,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(a3,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[30,227])).
% 35.81/35.87 cnf(350,plain,
% 35.81/35.87 (~P3(a3,a1,a3)+P3(a2,a1,a3)+P3(a2,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[1,2,349,10])).
% 35.81/35.87 cnf(361,plain,
% 35.81/35.87 (P3(a1,a1,a2)+P3(a1,a1,a3)+~P3(a3,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[30,41])).
% 35.81/35.87 cnf(362,plain,
% 35.81/35.87 (P3(a1,a1,a2)+~P3(a3,a1,a1)+~P3(a2,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[361,15])).
% 35.81/35.87 cnf(373,plain,
% 35.81/35.87 (P3(a1,a1,a1)+P3(a1,a1,a2)+~P3(a3,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[30,41])).
% 35.81/35.87 cnf(374,plain,
% 35.81/35.87 (P3(a1,a1,a1)+~P3(a3,a1,a3)+~P3(a2,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[373,15])).
% 35.81/35.87 cnf(388,plain,
% 35.81/35.87 (~P3(a2,a1,a2)+P3(a1,a1,a3)+~P3(a3,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[30,105])).
% 35.81/35.87 cnf(389,plain,
% 35.81/35.87 (~P3(a2,a1,a2)+~P3(a3,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[388,300])).
% 35.81/35.87 cnf(437,plain,
% 35.81/35.87 (~P3(a2,a3,a2)+P3(a1,a3,a3)+~P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[30,136])).
% 35.81/35.87 cnf(464,plain,
% 35.81/35.87 (P3(a1,a1,a1)+P3(a1,a1,a3)+~P3(a3,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[30,41])).
% 35.81/35.87 cnf(466,plain,
% 35.81/35.87 (P3(a1,a3,a3)+P3(a1,a3,a2)+~P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[3,1,30,10])).
% 35.81/35.87 cnf(482,plain,
% 35.81/35.87 (~P3(a3,a1,a2)+P3(a3,a3,a1)+~P3(a2,a3,a3)),
% 35.81/35.87 inference(scs_inference,[],[38,304])).
% 35.81/35.87 cnf(485,plain,
% 35.81/35.87 (~P3(a3,a1,a3)+P3(a2,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[38,350])).
% 35.81/35.87 cnf(509,plain,
% 35.81/35.87 (P3(a2,a3,a2)+P3(a2,a3,a3)+~P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[3,2,38,10])).
% 35.81/35.87 cnf(522,plain,
% 35.81/35.87 (~P3(a3,a2,a3)+P3(a3,a1,a1)+~P3(a2,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[38,208])).
% 35.81/35.87 cnf(524,plain,
% 35.81/35.87 (P3(a2,a1,a3)+P3(a2,a1,a2)+~P3(a3,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[2,1,38,10])).
% 35.81/35.87 cnf(542,plain,
% 35.81/35.87 (P3(a2,a1,a3)+P3(a2,a1,a1)+~P3(a3,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[1,2,38,10])).
% 35.81/35.87 cnf(593,plain,
% 35.81/35.87 (~P3(a3,a3,a1)+P3(a1,a3,a3)+~P3(a1,a2,a2)),
% 35.81/35.87 inference(scs_inference,[],[39,466])).
% 35.81/35.87 cnf(670,plain,
% 35.81/35.87 (~P3(a3,a1,a2)+P3(a3,a2,a3)+~P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[39,244])).
% 35.81/35.87 cnf(671,plain,
% 35.81/35.87 (~P3(a2,a3,a3)+~P3(a3,a1,a2)+P3(a3,a2,a3)),
% 35.81/35.87 inference(scs_inference,[],[670,482])).
% 35.81/35.87 cnf(672,plain,
% 35.81/35.87 (~P3(a2,a3,a3)+P3(a3,a2,a3)+P3(a3,a1,a3)+P3(a3,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[1,3,671,10])).
% 35.81/35.87 cnf(783,plain,
% 35.81/35.87 (~P3(a1,a2,a3)+P3(a2,a1,a1)+P3(a2,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[1,2,100,10])).
% 35.81/35.87 cnf(808,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[227,14])).
% 35.81/35.87 cnf(815,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(a1,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[7,227,11])).
% 35.81/35.87 cnf(817,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(x8171,a2,a1)+~P3(a2,x8171,a1)),
% 35.81/35.87 inference(scs_inference,[],[815,14])).
% 35.81/35.87 cnf(819,plain,
% 35.81/35.87 (~P3(a3,a1,a2)+P3(a2,a1,a3)+~P3(a1,a2,a1)),
% 35.81/35.87 inference(scs_inference,[],[817,542])).
% 35.81/35.87 cnf(821,plain,
% 35.81/35.87 (~P3(a1,a2,a1)+~P3(a3,a3,a1)+P3(a3,a1,a3)+P3(a2,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[819,317])).
% 35.81/35.87 cnf(838,plain,
% 35.81/35.87 (~P3(a1,a2,a3)+P3(a2,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[231,783])).
% 35.81/35.87 cnf(847,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(a2,a3,a2)+~P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[297,437])).
% 35.81/35.87 cnf(848,plain,
% 35.81/35.87 (~P3(a2,a3,a2)+~P3(a2,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[847,808])).
% 35.81/35.87 cnf(851,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(a3,a3,a1)+P3(a1,a3,a2)),
% 35.81/35.87 inference(scs_inference,[],[297,466])).
% 35.81/35.87 cnf(852,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+P3(a1,a3,a2)),
% 35.81/35.87 inference(scs_inference,[],[851,808])).
% 35.81/35.87 cnf(855,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+~P3(a1,a2,a2)+~P3(a3,a3,a1)),
% 35.81/35.87 inference(scs_inference,[],[297,593])).
% 35.81/35.87 cnf(856,plain,
% 35.81/35.87 (~P3(a1,a2,a2)+~P3(a2,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[855,808])).
% 35.81/35.87 cnf(881,plain,
% 35.81/35.87 (~P3(a3,a1,a1)+P3(a2,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[389,524])).
% 35.81/35.87 cnf(891,plain,
% 35.81/35.87 (~P3(a2,a1,a2)+~P3(a3,a2,a3)),
% 35.81/35.87 inference(scs_inference,[],[389,522])).
% 35.81/35.87 cnf(920,plain,
% 35.81/35.87 (~P3(a3,a1,a3)+~P3(a1,a2,a2)),
% 35.81/35.87 inference(scs_inference,[],[485,226])).
% 35.81/35.87 cnf(947,plain,
% 35.81/35.87 (P3(a1,a1,a1)+~P3(a3,a1,a3)),
% 35.81/35.87 inference(scs_inference,[],[485,374])).
% 35.81/35.87 cnf(993,plain,
% 35.81/35.87 (~P3(a2,a1,a1)+P3(a2,a3,a3)+P3(a2,a3,a2)),
% 35.81/35.87 inference(scs_inference,[],[808,509])).
% 35.81/35.87 cnf(1076,plain,
% 35.81/35.87 (~P3(a1,a2,a3)),
% 35.81/35.87 inference(scs_inference,[],[838,36])).
% 35.81/35.87 cnf(1077,plain,
% 35.81/35.87 (~P3(a2,a2,a2)+P3(a1,a2,a1)),
% 35.81/35.87 inference(scs_inference,[],[1076,113])).
% 35.81/35.87 cnf(1084,plain,
% 35.81/35.87 (~P3(a2,a2,a2)+~P3(a1,a1,a1)),
% 35.81/35.87 inference(scs_inference,[],[1076,190])).
% 35.81/35.87 cnf(1087,plain,
% 35.81/35.87 (~P3(a2,a2,a1)+~P3(a1,a1,a2)),
% 35.81/35.87 inference(scs_inference,[],[1076,214])).
% 35.81/35.87 cnf(1118,plain,
% 35.81/35.88 (P3(a1,a2,a2)+P3(a1,a2,a1)),
% 35.81/35.88 inference(scs_inference,[],[1076,1,2,10])).
% 35.81/35.88 cnf(1169,plain,
% 35.81/35.88 (~P3(a2,a1,a1)+P3(a2,a3,a3)),
% 35.81/35.88 inference(scs_inference,[],[848,993])).
% 35.81/35.88 cnf(1170,plain,
% 35.81/35.88 (~P3(a3,a1,a2)+P3(a2,a1,a3)+P3(a2,a3,a3)),
% 35.81/35.88 inference(scs_inference,[],[1169,542])).
% 35.81/35.88 cnf(1176,plain,
% 35.81/35.88 (~P3(a2,a3,a2)+P3(a2,a1,a3)+P3(a2,a1,a2)),
% 35.81/35.88 inference(scs_inference,[],[1,2,848,10])).
% 35.81/35.88 cnf(1187,plain,
% 35.81/35.88 (P3(a1,a3,a2)+P3(a2,a1,a3)+P3(a2,a1,a2)),
% 35.81/35.88 inference(scs_inference,[],[1,2,852,10])).
% 35.81/35.88 cnf(1195,plain,
% 35.81/35.88 (~P3(a1,a2,a2)+P3(a2,a1,a3)+P3(a2,a1,a2)),
% 35.81/35.88 inference(scs_inference,[],[1,2,856,10])).
% 35.81/35.88 cnf(1292,plain,
% 35.81/35.88 (P3(a1,a1,a2)+~P3(a3,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[881,362])).
% 35.81/35.88 cnf(1301,plain,
% 35.81/35.88 (~P3(a3,a2,a3)+~P3(a1,a2,a2)+P3(a2,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[891,1195])).
% 35.81/35.88 cnf(1302,plain,
% 35.81/35.88 (~P3(a3,a2,a3)+P3(a2,a1,a3)+P3(a1,a2,a1)),
% 35.81/35.88 inference(scs_inference,[],[1076,2,1,1301,10])).
% 35.81/35.88 cnf(1303,plain,
% 35.81/35.88 (~P3(a3,a2,a3)+~P3(a3,a3,a1)+P3(a2,a1,a3)+P3(a3,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1302,821])).
% 35.81/35.88 cnf(1335,plain,
% 35.81/35.88 (~P3(a3,a2,a3)+P3(a2,a1,a1)+P3(a2,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1,2,891,10])).
% 35.81/35.88 cnf(1401,plain,
% 35.81/35.88 (~P3(a3,a1,a3)+P3(a1,a2,a1)),
% 35.81/35.88 inference(scs_inference,[],[920,1118])).
% 35.81/35.88 cnf(1402,plain,
% 35.81/35.88 (~P3(a3,a1,a3)+~P3(a1,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1401,16])).
% 35.81/35.88 cnf(1403,plain,
% 35.81/35.88 (~P3(a3,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1402,947])).
% 35.81/35.88 cnf(1409,plain,
% 35.81/35.88 (~P3(a3,a3,a2)+P3(a3,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1403,308])).
% 35.81/35.88 cnf(1424,plain,
% 35.81/35.88 (~P3(a2,a3,a3)+P3(a3,a2,a3)+P3(a3,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1403,672])).
% 35.81/35.88 cnf(1450,plain,
% 35.81/35.88 (~P3(a3,a2,a3)+~P3(a3,a3,a1)+P3(a2,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1403,1303])).
% 35.81/35.88 cnf(1451,plain,
% 35.81/35.88 (P3(a3,a1,a2)+P3(a3,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1403,1,3,10])).
% 35.81/35.88 cnf(1457,plain,
% 35.81/35.88 (P3(a2,a1,a3)+P3(a1,a3,a2)+P3(a3,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1403,1,3,10,38,17,1195,1187])).
% 35.81/35.88 cnf(1459,plain,
% 35.81/35.88 (P3(a2,a1,a3)+P3(a2,a3,a3)+P3(a3,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1403,1,3,10,38,17,1195,1187,1176,1170])).
% 35.81/35.88 cnf(1506,plain,
% 35.81/35.88 (~P3(a3,a2,a3)+~P3(a2,a1,a1)+P3(a2,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1450,808])).
% 35.81/35.88 cnf(1532,plain,
% 35.81/35.88 (~P3(a3,a2,a3)+P3(a2,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1506,1335])).
% 35.81/35.88 cnf(1603,plain,
% 35.81/35.88 (~P3(a2,a2,a2)+~P3(a2,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1077,22])).
% 35.81/35.88 cnf(1604,plain,
% 35.81/35.88 (~P3(a2,a2,a2)+P3(a2,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1603,238])).
% 35.81/35.88 cnf(1727,plain,
% 35.81/35.88 (~P3(a1,a1,a1)+~P3(a3,a1,a2)+P3(a2,a2,a3)),
% 35.81/35.88 inference(scs_inference,[],[1084,45])).
% 35.81/35.88 cnf(1728,plain,
% 35.81/35.88 (~P3(a3,a1,a2)+~P3(a1,a1,a1)+P3(a3,a3,a2)),
% 35.81/35.88 inference(scs_inference,[],[1727,14])).
% 35.81/35.88 cnf(1761,plain,
% 35.81/35.88 (~P3(a1,a1,a2)+~P3(x17611,a1,a2)+~P3(a1,x17611,a2)),
% 35.81/35.88 inference(scs_inference,[],[1087,14])).
% 35.81/35.88 cnf(1762,plain,
% 35.81/35.88 (~P3(a3,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1761,1292])).
% 35.81/35.88 cnf(1786,plain,
% 35.81/35.88 (~P3(a3,a3,a2)),
% 35.81/35.88 inference(scs_inference,[],[1762,1409])).
% 35.81/35.88 cnf(1787,plain,
% 35.81/35.88 (~P3(a2,a3,a3)+P3(a3,a2,a3)),
% 35.81/35.88 inference(scs_inference,[],[1762,1424])).
% 35.81/35.88 cnf(1788,plain,
% 35.81/35.88 (P3(a3,a1,a2)),
% 35.81/35.88 inference(scs_inference,[],[1762,1451])).
% 35.81/35.88 cnf(1791,plain,
% 35.81/35.88 (P3(a2,a1,a3)+P3(a1,a3,a2)),
% 35.81/35.88 inference(scs_inference,[],[1762,1457])).
% 35.81/35.88 cnf(1792,plain,
% 35.81/35.88 (P3(a2,a1,a3)+P3(a2,a3,a3)),
% 35.81/35.88 inference(scs_inference,[],[1762,1459])).
% 35.81/35.88 cnf(1805,plain,
% 35.81/35.88 (P3(a1,a1,a1)+~P3(a2,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1788,84])).
% 35.81/35.88 cnf(1819,plain,
% 35.81/35.88 (P3(a1,a1,a1)+P3(a1,a1,a3)),
% 35.81/35.88 inference(scs_inference,[],[1788,464])).
% 35.81/35.88 cnf(1988,plain,
% 35.81/35.88 (~P3(a1,a1,a1)),
% 35.81/35.88 inference(scs_inference,[],[1786,1788,1728])).
% 35.81/35.88 cnf(2035,plain,
% 35.81/35.88 ($false),
% 35.81/35.88 inference(scs_inference,[],[1988,1819,1805,1792,1791,1787,1604,1532]),
% 35.81/35.88 ['proof']).
% 35.81/35.88 % SZS output end Proof
% 35.81/35.88 % Total time :35.230000s
%------------------------------------------------------------------------------