TSTP Solution File: GRP130-1.003 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP130-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 00:11:10 EDT 2023
% Result : Unsatisfiable 41.96s 42.05s
% Output : CNFRefutation 41.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP130-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n004.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 : Mon Aug 28 22:58:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 41.96/42.04 %-------------------------------------------
% 41.96/42.04 % File :CSE---1.6
% 41.96/42.04 % Problem :theBenchmark
% 41.96/42.04 % Transform :cnf
% 41.96/42.04 % Format :tptp:raw
% 41.96/42.04 % Command :java -jar mcs_scs.jar %d %s
% 41.96/42.04
% 41.96/42.04 % Result :Theorem 41.430000s
% 41.96/42.04 % Output :CNFRefutation 41.430000s
% 41.96/42.04 %-------------------------------------------
% 41.96/42.05 %--------------------------------------------------------------------------
% 41.96/42.05 % File : GRP130-1.003 : TPTP v8.1.2. Released v1.2.0.
% 41.96/42.05 % Domain : Group Theory (Quasigroups)
% 41.96/42.05 % Problem : (a.(a.b)).b = a
% 41.96/42.05 % Version : [Sla93] axioms.
% 41.96/42.05 % English : Generate the multiplication table for the specified quasi-
% 41.96/42.05 % group with 3 elements.
% 41.96/42.05
% 41.96/42.05 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 41.96/42.05 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 41.96/42.05 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 41.96/42.05 % Source : [Sla93]
% 41.96/42.05 % Names : QG8 [Sla93]
% 41.96/42.05 % : Bennett QG8 [TPTP]
% 41.96/42.05
% 41.96/42.05 % Status : Unsatisfiable
% 41.96/42.05 % Rating : 0.00 v2.1.0
% 41.96/42.05 % Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR)
% 41.96/42.05 % Number of literals : 26 ( 0 equ; 16 neg)
% 41.96/42.05 % Maximal clause size : 5 ( 1 avg)
% 41.96/42.05 % Maximal term depth : 1 ( 1 avg)
% 41.96/42.05 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 41.96/42.05 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 41.96/42.05 % Number of variables : 18 ( 0 sgn)
% 41.96/42.05 % SPC : CNF_UNS_EPR_NEQ_NHN
% 41.96/42.05
% 41.96/42.05 % Comments : [SFS93]'s axiomatization has been modified for this.
% 41.96/42.05 % : Substitution axioms are not needed, as any positive equality
% 41.96/42.05 % literals should resolve on negative ones directly.
% 41.96/42.05 % : tptp2X: -f tptp -s3 GRP130-1.g
% 41.96/42.05 %--------------------------------------------------------------------------
% 41.96/42.05 cnf(element_1,axiom,
% 41.96/42.05 group_element(e_1) ).
% 41.96/42.05
% 41.96/42.05 cnf(element_2,axiom,
% 41.96/42.05 group_element(e_2) ).
% 41.96/42.05
% 41.96/42.05 cnf(element_3,axiom,
% 41.96/42.05 group_element(e_3) ).
% 41.96/42.05
% 41.96/42.05 cnf(e_1_is_not_e_2,axiom,
% 41.96/42.05 ~ equalish(e_1,e_2) ).
% 41.96/42.05
% 41.96/42.05 cnf(e_1_is_not_e_3,axiom,
% 41.96/42.05 ~ equalish(e_1,e_3) ).
% 41.96/42.05
% 41.96/42.05 cnf(e_2_is_not_e_1,axiom,
% 41.96/42.05 ~ equalish(e_2,e_1) ).
% 41.96/42.05
% 41.96/42.05 cnf(e_2_is_not_e_3,axiom,
% 41.96/42.05 ~ equalish(e_2,e_3) ).
% 41.96/42.05
% 41.96/42.05 cnf(e_3_is_not_e_1,axiom,
% 41.96/42.05 ~ equalish(e_3,e_1) ).
% 41.96/42.05
% 41.96/42.05 cnf(e_3_is_not_e_2,axiom,
% 41.96/42.05 ~ equalish(e_3,e_2) ).
% 41.96/42.05
% 41.96/42.05 cnf(product_total_function1,axiom,
% 41.96/42.05 ( ~ group_element(X)
% 41.96/42.05 | ~ group_element(Y)
% 41.96/42.05 | product(X,Y,e_1)
% 41.96/42.05 | product(X,Y,e_2)
% 41.96/42.05 | product(X,Y,e_3) ) ).
% 41.96/42.05
% 41.96/42.05 cnf(product_total_function2,axiom,
% 41.96/42.05 ( ~ product(X,Y,W)
% 41.96/42.05 | ~ product(X,Y,Z)
% 41.96/42.05 | equalish(W,Z) ) ).
% 41.96/42.05
% 41.96/42.05 cnf(product_right_cancellation,axiom,
% 41.96/42.05 ( ~ product(X,W,Y)
% 41.96/42.05 | ~ product(X,Z,Y)
% 41.96/42.05 | equalish(W,Z) ) ).
% 41.96/42.05
% 41.96/42.05 cnf(product_left_cancellation,axiom,
% 41.96/42.05 ( ~ product(W,Y,X)
% 41.96/42.05 | ~ product(Z,Y,X)
% 41.96/42.05 | equalish(W,Z) ) ).
% 41.96/42.05
% 41.96/42.05 cnf(qg3,negated_conjecture,
% 41.96/42.05 ( ~ product(X,Y,Z1)
% 41.96/42.05 | ~ product(X,Z1,Z2)
% 41.96/42.05 | product(Z2,Y,X) ) ).
% 41.96/42.05
% 41.96/42.05 %--------------------------------------------------------------------------
% 41.96/42.05 %-------------------------------------------
% 41.96/42.05 % Proof found
% 41.96/42.05 % SZS status Theorem for theBenchmark
% 41.96/42.05 % SZS output start Proof
% 41.96/42.05 %ClaNum:14(EqnAxiom:0)
% 41.96/42.05 %VarNum:41(SingletonVarNum:18)
% 41.96/42.05 %MaxLitNum:5
% 41.96/42.05 %MaxfuncDepth:0
% 41.96/42.05 %SharedTerms:12
% 41.96/42.05 %goalClause: 14
% 41.96/42.05 [1]P1(a1)
% 41.96/42.05 [2]P1(a2)
% 41.96/42.05 [3]P1(a3)
% 41.96/42.05 [4]~P2(a1,a2)
% 41.96/42.05 [5]~P2(a1,a3)
% 41.96/42.05 [6]~P2(a2,a1)
% 41.96/42.05 [7]~P2(a2,a3)
% 41.96/42.05 [8]~P2(a3,a1)
% 41.96/42.05 [9]~P2(a3,a2)
% 41.96/42.05 [11]~P3(x113,x114,x111)+P2(x111,x112)+~P3(x113,x114,x112)
% 41.96/42.05 [12]~P3(x123,x121,x124)+P2(x121,x122)+~P3(x123,x122,x124)
% 41.96/42.05 [13]~P3(x131,x133,x134)+P2(x131,x132)+~P3(x132,x133,x134)
% 41.96/42.05 [14]~P3(x143,x142,x144)+P3(x141,x142,x143)+~P3(x143,x144,x141)
% 41.96/42.05 [10]~P1(x102)+~P1(x101)+P3(x101,x102,a2)+P3(x101,x102,a3)+P3(x101,x102,a1)
% 41.96/42.05 %EqnAxiom
% 41.96/42.05
% 41.96/42.05 %-------------------------------------------
% 41.96/42.06 cnf(15,plain,
% 41.96/42.06 (~P3(a2,x151,x152)+~P3(a1,x151,x152)),
% 41.96/42.06 inference(scs_inference,[],[4,13])).
% 41.96/42.06 cnf(16,plain,
% 41.96/42.06 (~P3(x161,a2,x162)+~P3(x161,a1,x162)),
% 41.96/42.06 inference(scs_inference,[],[4,13,12])).
% 41.96/42.06 cnf(22,plain,
% 41.96/42.06 (~P3(x221,x222,x223)+~P3(x221,a1,x222)+~P3(x223,a2,x221)),
% 41.96/42.06 inference(scs_inference,[],[16,14])).
% 41.96/42.06 cnf(24,plain,
% 41.96/42.06 (~P3(x241,x242,a3)+~P3(x241,x242,a1)),
% 41.96/42.06 inference(scs_inference,[],[5,11])).
% 41.96/42.06 cnf(25,plain,
% 41.96/42.06 (~P3(a3,x251,x252)+~P3(x252,x253,a1)+~P3(a3,x253,x251)),
% 41.96/42.06 inference(scs_inference,[],[5,11,14])).
% 41.96/42.06 cnf(29,plain,
% 41.96/42.06 (~P3(x291,a3,x292)+~P3(x291,a1,x292)),
% 41.96/42.06 inference(scs_inference,[],[5,12])).
% 41.96/42.06 cnf(30,plain,
% 41.96/42.06 (~P3(a3,x301,x302)+~P3(a1,x301,x302)),
% 41.96/42.06 inference(scs_inference,[],[5,12,13])).
% 41.96/42.06 cnf(31,plain,
% 41.96/42.06 (~P3(a3,a1,a3)+~P3(a1,a3,a2)+P3(a3,a3,a1)),
% 41.96/42.06 inference(scs_inference,[],[5,3,12,13,10])).
% 41.96/42.06 cnf(37,plain,
% 41.96/42.06 (~P3(a1,a3,a2)+~P3(a3,a1,a3)),
% 41.96/42.06 inference(scs_inference,[],[25,31])).
% 41.96/42.06 cnf(39,plain,
% 41.96/42.06 (~P3(a3,x391,x392)+~P3(a2,x391,x392)),
% 41.96/42.06 inference(scs_inference,[],[7,13])).
% 41.96/42.06 cnf(40,plain,
% 41.96/42.06 (~P3(x401,a3,x402)+~P3(x401,a2,x402)),
% 41.96/42.06 inference(scs_inference,[],[7,13,12])).
% 41.96/42.06 cnf(43,plain,
% 41.96/42.06 (P3(a1,a1,a1)+P3(a1,a1,a2)+P3(a1,a1,a3)),
% 41.96/42.06 inference(scs_inference,[],[1,10])).
% 41.96/42.06 cnf(46,plain,
% 41.96/42.06 (P3(a3,a3,a2)+P3(a3,a3,a1)+P3(a3,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[3,10])).
% 41.96/42.06 cnf(66,plain,
% 41.96/42.06 (~P3(x661,x662,a2)+~P3(x661,x663,x662)+~P3(a1,x663,x661)),
% 41.96/42.06 inference(scs_inference,[],[15,14])).
% 41.96/42.06 cnf(91,plain,
% 41.96/42.06 (~P3(a1,a1,a1)+P3(a2,a1,a2)+P3(a2,a1,a3)),
% 41.96/42.06 inference(scs_inference,[],[1,2,15,10])).
% 41.96/42.06 cnf(95,plain,
% 41.96/42.06 (~P3(a1,a3,a2)+P3(a2,a3,a1)+P3(a2,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[2,3,15,10])).
% 41.96/42.06 cnf(109,plain,
% 41.96/42.06 (P3(a1,a1,a2)+P3(a1,a1,a3)+~P3(a1,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[16,43])).
% 41.96/42.06 cnf(156,plain,
% 41.96/42.06 (P3(a3,a1,a3)+P3(a3,a1,a1)+~P3(a3,a2,a2)),
% 41.96/42.06 inference(scs_inference,[],[1,3,16,10])).
% 41.96/42.06 cnf(160,plain,
% 41.96/42.06 (~P3(a3,a1,a2)+P3(a3,a2,a1)+P3(a3,a2,a3)),
% 41.96/42.06 inference(scs_inference,[],[3,2,16,10])).
% 41.96/42.06 cnf(170,plain,
% 41.96/42.06 (~P3(a3,a1,a3)+P3(a3,a2,a1)+P3(a3,a2,a2)),
% 41.96/42.06 inference(scs_inference,[],[2,3,16,10])).
% 41.96/42.06 cnf(172,plain,
% 41.96/42.06 (~P3(a1,a1,a2)+P3(a1,a2,a3)+P3(a1,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[2,1,16,10])).
% 41.96/42.06 cnf(199,plain,
% 41.96/42.06 (~P3(a1,a1,a3)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[2,1,16,10])).
% 41.96/42.06 cnf(228,plain,
% 41.96/42.06 (~P3(a1,x2281,x2282)+~P3(a1,x2283,x2281)+~P3(x2282,x2283,a3)),
% 41.96/42.06 inference(scs_inference,[],[24,14])).
% 41.96/42.06 cnf(229,plain,
% 41.96/42.06 (P3(a1,a1,a1)+P3(a1,a1,a2)+~P3(a1,a3,a1)),
% 41.96/42.06 inference(scs_inference,[],[228,43])).
% 41.96/42.06 cnf(240,plain,
% 41.96/42.06 (~P3(x2401,x2402,x2403)+~P3(x2401,a3,x2402)+~P3(x2403,a1,x2401)),
% 41.96/42.06 inference(scs_inference,[],[29,14])).
% 41.96/42.06 cnf(241,plain,
% 41.96/42.06 (P3(a1,a1,a2)+~P3(a1,a3,a1)),
% 41.96/42.06 inference(scs_inference,[],[240,229])).
% 41.96/42.06 cnf(252,plain,
% 41.96/42.06 (~P3(a1,a1,a1)+P3(a1,a3,a2)+P3(a1,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[3,1,29,10])).
% 41.96/42.06 cnf(264,plain,
% 41.96/42.06 (~P3(a3,a1,a2)+P3(a3,a3,a1)+P3(a3,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[3,29,10])).
% 41.96/42.06 cnf(278,plain,
% 41.96/42.06 (~P3(a1,a1,a3)+P3(a1,a3,a1)+P3(a1,a3,a2)),
% 41.96/42.06 inference(scs_inference,[],[1,3,29,10])).
% 41.96/42.06 cnf(296,plain,
% 41.96/42.06 (~P3(a1,a1,a2)+P3(a1,a3,a1)+P3(a1,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[3,1,29,10])).
% 41.96/42.06 cnf(302,plain,
% 41.96/42.06 (P3(a2,a1,a2)+P3(a2,a1,a1)+~P3(a2,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[2,1,29,10])).
% 41.96/42.06 cnf(310,plain,
% 41.96/42.06 (P3(a2,a1,a3)+P3(a2,a1,a1)+~P3(a2,a3,a2)),
% 41.96/42.06 inference(scs_inference,[],[1,2,29,10])).
% 41.96/42.06 cnf(333,plain,
% 41.96/42.06 (~P3(a1,a3,a2)+P3(a3,a3,a1)+P3(a3,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[3,30,10])).
% 41.96/42.06 cnf(343,plain,
% 41.96/42.06 (~P3(a1,a2,a2)+P3(a3,a2,a1)+P3(a3,a2,a3)),
% 41.96/42.06 inference(scs_inference,[],[2,3,30,10])).
% 41.96/42.06 cnf(361,plain,
% 41.96/42.06 (P3(a1,a2,a3)+P3(a1,a2,a1)+~P3(a3,a2,a2)),
% 41.96/42.06 inference(scs_inference,[],[2,1,30,10])).
% 41.96/42.06 cnf(367,plain,
% 41.96/42.06 (~P3(x3671,x3672,a3)+~P3(x3671,x3673,x3672)+~P3(a1,x3673,x3671)),
% 41.96/42.06 inference(scs_inference,[],[30,14])).
% 41.96/42.06 cnf(371,plain,
% 41.96/42.06 (~P3(a3,a2,a2)+P3(a3,a1,a3)+~P3(a1,a1,a1)),
% 41.96/42.06 inference(scs_inference,[],[30,156])).
% 41.96/42.06 cnf(389,plain,
% 41.96/42.06 (~P3(a1,a1,a1)+P3(a1,a3,a2)+~P3(a3,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[30,252])).
% 41.96/42.06 cnf(428,plain,
% 41.96/42.06 (P3(a1,a2,a1)+P3(a1,a2,a2)+~P3(a3,a2,a3)),
% 41.96/42.06 inference(scs_inference,[],[2,1,30,10])).
% 41.96/42.06 cnf(429,plain,
% 41.96/42.06 (~P3(a3,a1,a2)+P3(a3,a2,a1)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[428,160])).
% 41.96/42.06 cnf(444,plain,
% 41.96/42.06 (~P3(a3,a1,a3)+P3(a1,a3,a3)+P3(a1,a3,a1)),
% 41.96/42.06 inference(scs_inference,[],[3,1,37,10])).
% 41.96/42.06 cnf(448,plain,
% 41.96/42.06 (~P3(a1,a3,a2)+~P3(a1,a1,a1)+~P3(a3,a2,a2)),
% 41.96/42.06 inference(scs_inference,[],[37,371])).
% 41.96/42.06 cnf(581,plain,
% 41.96/42.06 (~P3(a3,a1,a2)+P3(a3,a2,a3)+~P3(a2,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[39,160])).
% 41.96/42.06 cnf(599,plain,
% 41.96/42.06 (P3(a2,a1,a2)+P3(a2,a1,a1)+~P3(a3,a1,a3)),
% 41.96/42.06 inference(scs_inference,[],[1,2,39,10])).
% 41.96/42.06 cnf(648,plain,
% 41.96/42.06 (~P3(a3,a2,a2)+P3(a1,a2,a1)+~P3(a1,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[40,361])).
% 41.96/42.06 cnf(649,plain,
% 41.96/42.06 (~P3(a3,a2,a2)+P3(a1,a2,a1)+P3(a1,a3,a1)+P3(a1,a3,a2)),
% 41.96/42.06 inference(scs_inference,[],[1,3,648,10])).
% 41.96/42.06 cnf(650,plain,
% 41.96/42.06 (~P3(a3,a1,a2)+P3(a3,a3,a3)+~P3(a3,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[40,264])).
% 41.96/42.06 cnf(651,plain,
% 41.96/42.06 (P3(a3,a3,a3)+~P3(a3,a1,a2)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[650,429])).
% 41.96/42.06 cnf(655,plain,
% 41.96/42.06 (~P3(a1,a1,a3)+P3(a1,a3,a1)+~P3(a1,a2,a2)),
% 41.96/42.06 inference(scs_inference,[],[40,278])).
% 41.96/42.06 cnf(691,plain,
% 41.96/42.06 (~P3(a3,a3,a3)+~P3(a1,a1,a1)+~P3(a1,a2,a2)),
% 41.96/42.06 inference(scs_inference,[],[40,389])).
% 41.96/42.06 cnf(798,plain,
% 41.96/42.06 (~P3(a1,a2,a2)+P3(a3,a2,a1)+~P3(a3,a3,a3)),
% 41.96/42.06 inference(scs_inference,[],[40,343])).
% 41.96/42.06 cnf(799,plain,
% 41.96/42.06 (~P3(a1,a2,a2)+P3(a3,a3,a1)+~P3(a3,a1,a2)+P3(a3,a2,a1)),
% 41.96/42.06 inference(scs_inference,[],[798,264])).
% 41.96/42.06 cnf(804,plain,
% 41.96/42.06 (~P3(a1,a3,a2)+P3(a3,a3,a1)+~P3(a3,a2,a3)),
% 41.96/42.06 inference(scs_inference,[],[40,333])).
% 41.96/42.06 cnf(805,plain,
% 41.96/42.06 (P3(a3,a3,a1)+~P3(a1,a3,a2)+P3(a3,a2,a1)+P3(a3,a2,a2)),
% 41.96/42.06 inference(scs_inference,[],[2,3,804,10])).
% 41.96/42.06 cnf(816,plain,
% 41.96/42.06 (~P3(x8161,x8162,x8163)+~P3(x8161,a3,x8162)+~P3(x8163,a2,x8161)),
% 41.96/42.06 inference(scs_inference,[],[40,14])).
% 41.96/42.06 cnf(823,plain,
% 41.96/42.06 (~P3(a1,a1,a2)+P3(a1,a2,a1)+~P3(a1,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[40,172])).
% 41.96/42.07 cnf(824,plain,
% 41.96/42.07 (~P3(a1,a1,a2)+P3(a1,a2,a1)+P3(a1,a3,a1)),
% 41.96/42.07 inference(scs_inference,[],[823,296])).
% 41.96/42.07 cnf(826,plain,
% 41.96/42.07 (P3(a3,a3,a2)+P3(a3,a3,a1)+~P3(a3,a2,a3)),
% 41.96/42.07 inference(scs_inference,[],[40,46])).
% 41.96/42.07 cnf(827,plain,
% 41.96/42.07 (P3(a3,a3,a1)+P3(a3,a3,a2)+P3(a3,a2,a2)+P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[2,3,826,10])).
% 41.96/42.07 cnf(840,plain,
% 41.96/42.07 (~P3(a3,a1,a2)+P3(a3,a2,a1)+~P3(a3,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[40,160])).
% 41.96/42.07 cnf(879,plain,
% 41.96/42.07 (P3(a3,a2,a1)+P3(a3,a2,a2)+~P3(a3,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[2,3,40,10])).
% 41.96/42.07 cnf(915,plain,
% 41.96/42.07 (~P3(a1,a3,a1)+~P3(a1,x9151,a1)),
% 41.96/42.07 inference(scs_inference,[],[241,66])).
% 41.96/42.07 cnf(916,plain,
% 41.96/42.07 (~P3(a1,a3,a1)),
% 41.96/42.07 inference(factoring_inference,[],[915])).
% 41.96/42.07 cnf(917,plain,
% 41.96/42.07 (~P3(a1,a1,a3)+P3(a1,a3,a2)),
% 41.96/42.07 inference(scs_inference,[],[916,278])).
% 41.96/42.07 cnf(926,plain,
% 41.96/42.07 (~P3(a3,a1,a3)+P3(a1,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[916,444])).
% 41.96/42.07 cnf(929,plain,
% 41.96/42.07 (~P3(a3,a2,a2)+P3(a1,a2,a1)+P3(a1,a3,a2)),
% 41.96/42.07 inference(scs_inference,[],[916,649])).
% 41.96/42.07 cnf(930,plain,
% 41.96/42.07 (~P3(a1,a2,a2)+~P3(a1,a1,a3)),
% 41.96/42.07 inference(scs_inference,[],[916,655])).
% 41.96/42.07 cnf(943,plain,
% 41.96/42.07 (~P3(a1,a1,a2)+P3(a1,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[916,824])).
% 41.96/42.07 cnf(953,plain,
% 41.96/42.07 (P3(a1,a3,a3)+P3(a1,a3,a2)),
% 41.96/42.07 inference(scs_inference,[],[916,3,1,10])).
% 41.96/42.07 cnf(965,plain,
% 41.96/42.07 (P3(a1,a3,a2)+~P3(a3,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[953,30])).
% 41.96/42.07 cnf(967,plain,
% 41.96/42.07 (P3(a3,a3,a2)+P3(a3,a3,a1)+P3(a1,a3,a2)),
% 41.96/42.07 inference(scs_inference,[],[965,46])).
% 41.96/42.07 cnf(1000,plain,
% 41.96/42.07 (P3(a3,a3,a1)+P3(a1,a3,a2)+~P3(a3,a1,a2)),
% 41.96/42.07 inference(scs_inference,[],[967,29])).
% 41.96/42.07 cnf(1014,plain,
% 41.96/42.07 (~P3(a1,a1,a3)+~P3(a1,x10141,a3)+P3(a2,x10141,a1)),
% 41.96/42.07 inference(scs_inference,[],[917,14])).
% 41.96/42.07 cnf(1015,plain,
% 41.96/42.07 (~P3(a1,a2,a1)+P3(a1,a1,a2)+P3(a2,a1,a1)),
% 41.96/42.07 inference(scs_inference,[],[1014,109])).
% 41.96/42.07 cnf(1140,plain,
% 41.96/42.07 (~P3(a3,a1,a3)+~P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[926,816])).
% 41.96/42.07 cnf(1141,plain,
% 41.96/42.07 (~P3(a3,a1,a3)+P3(a3,a2,a2)),
% 41.96/42.07 inference(scs_inference,[],[1140,170])).
% 41.96/42.07 cnf(1174,plain,
% 41.96/42.07 (~P3(a1,a1,a3)+P3(a1,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[930,199])).
% 41.96/42.07 cnf(1204,plain,
% 41.96/42.07 (~P3(a1,a1,a2)),
% 41.96/42.07 inference(scs_inference,[],[943,22])).
% 41.96/42.07 cnf(1205,plain,
% 41.96/42.07 (P3(a1,a1,a3)+P3(a1,a1,a1)),
% 41.96/42.07 inference(scs_inference,[],[1204,43])).
% 41.96/42.07 cnf(1209,plain,
% 41.96/42.07 (~P3(a1,a2,a1)+P3(a1,a1,a3)),
% 41.96/42.07 inference(scs_inference,[],[1204,109])).
% 41.96/42.07 cnf(1239,plain,
% 41.96/42.07 (~P3(a1,a2,a1)+P3(a2,a1,a1)),
% 41.96/42.07 inference(scs_inference,[],[1204,1015])).
% 41.96/42.07 cnf(1247,plain,
% 41.96/42.07 (~P3(a2,x12471,a1)+~P3(a2,a1,x12471)),
% 41.96/42.07 inference(scs_inference,[],[1204,14])).
% 41.96/42.07 cnf(1254,plain,
% 41.96/42.07 (P3(a1,a1,a3)+~P3(a3,a1,a1)),
% 41.96/42.07 inference(scs_inference,[],[1205,30])).
% 41.96/42.07 cnf(1268,plain,
% 41.96/42.07 (~P3(a1,a1,a3)+P3(a2,a1,a1)),
% 41.96/42.07 inference(scs_inference,[],[1239,1174])).
% 41.96/42.07 cnf(1271,plain,
% 41.96/42.07 (~P3(a1,a1,a3)),
% 41.96/42.07 inference(scs_inference,[],[1247,1268])).
% 41.96/42.07 cnf(1299,plain,
% 41.96/42.07 (P3(a1,a1,a1)),
% 41.96/42.07 inference(scs_inference,[],[1271,1205])).
% 41.96/42.07 cnf(1301,plain,
% 41.96/42.07 (~P3(a1,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[1271,1209])).
% 41.96/42.07 cnf(1305,plain,
% 41.96/42.07 (~P3(a3,a1,a1)),
% 41.96/42.07 inference(scs_inference,[],[1271,1254])).
% 41.96/42.07 cnf(1306,plain,
% 41.96/42.07 (~P3(a3,x13061,a1)+~P3(a3,a1,x13061)),
% 41.96/42.07 inference(scs_inference,[],[1271,14])).
% 41.96/42.07 cnf(1311,plain,
% 41.96/42.07 (P3(a2,a1,a3)+P3(a2,a1,a2)),
% 41.96/42.07 inference(scs_inference,[],[1299,91])).
% 41.96/42.07 cnf(1334,plain,
% 41.96/42.07 (~P3(a3,a1,a2)+P3(a3,a2,a1)+P3(a1,a2,a2)),
% 41.96/42.07 inference(scs_inference,[],[1301,429])).
% 41.96/42.07 cnf(1339,plain,
% 41.96/42.07 (~P3(a3,a2,a2)+~P3(a1,a3,a2)),
% 41.96/42.07 inference(scs_inference,[],[1299,448])).
% 41.96/42.07 cnf(1355,plain,
% 41.96/42.07 (~P3(a3,a1,a2)+P3(a3,a3,a3)+P3(a1,a2,a2)),
% 41.96/42.07 inference(scs_inference,[],[1301,651])).
% 41.96/42.07 cnf(1357,plain,
% 41.96/42.07 (~P3(a1,a2,a2)+~P3(a3,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[1299,691])).
% 41.96/42.07 cnf(1371,plain,
% 41.96/42.07 (P3(a1,a3,a2)+~P3(a3,a2,a2)),
% 41.96/42.07 inference(scs_inference,[],[1301,929])).
% 41.96/42.07 cnf(1411,plain,
% 41.96/42.07 (~P3(a2,a3,a3)+P3(a2,a1,a2)),
% 41.96/42.07 inference(scs_inference,[],[6,1299,13,12,599,310,302])).
% 41.96/42.07 cnf(1445,plain,
% 41.96/42.07 (P3(a3,a1,a2)+P3(a3,a1,a3)),
% 41.96/42.07 inference(scs_inference,[],[1305,1299,3,1,13,10])).
% 41.96/42.07 cnf(1447,plain,
% 41.96/42.07 (~P3(a2,a1,a2)+P3(a3,a1,a3)),
% 41.96/42.07 inference(scs_inference,[],[1305,1299,3,1,13,10,39])).
% 41.96/42.07 cnf(1451,plain,
% 41.96/42.07 (~P3(a3,a3,a3)+P3(a3,a2,a1)+P3(a3,a1,a3)),
% 41.96/42.07 inference(scs_inference,[],[1305,1299,3,1,13,10,39,1355,1334,840])).
% 41.96/42.07 cnf(1485,plain,
% 41.96/42.07 (P3(a2,a1,a2)+~P3(a2,a3,a1)),
% 41.96/42.07 inference(scs_inference,[],[1311,1247])).
% 41.96/42.07 cnf(1511,plain,
% 41.96/42.07 (~P3(a3,a2,a2)),
% 41.96/42.07 inference(scs_inference,[],[1339,1371])).
% 41.96/42.07 cnf(1524,plain,
% 41.96/42.07 (P3(a3,a3,a1)+~P3(a1,a3,a2)+P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[1511,805])).
% 41.96/42.07 cnf(1525,plain,
% 41.96/42.07 (P3(a3,a3,a1)+P3(a3,a3,a2)+P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[1511,827])).
% 41.96/42.07 cnf(1526,plain,
% 41.96/42.07 (~P3(a3,a3,a3)+P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[1511,879])).
% 41.96/42.07 cnf(1529,plain,
% 41.96/42.07 (~P3(a3,a1,a3)),
% 41.96/42.07 inference(scs_inference,[],[1511,1141])).
% 41.96/42.07 cnf(1549,plain,
% 41.96/42.07 (P3(a3,a1,a2)),
% 41.96/42.07 inference(scs_inference,[],[1529,1445])).
% 41.96/42.07 cnf(1550,plain,
% 41.96/42.07 (~P3(a2,a1,a2)),
% 41.96/42.07 inference(scs_inference,[],[1529,1447])).
% 41.96/42.07 cnf(1553,plain,
% 41.96/42.07 (~P3(a3,a3,a3)+P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[1529,1451])).
% 41.96/42.07 cnf(1562,plain,
% 41.96/42.07 (P3(a3,a2,a1)+P3(a3,a2,a3)),
% 41.96/42.07 inference(scs_inference,[],[1549,160])).
% 41.96/42.07 cnf(1564,plain,
% 41.96/42.07 (P3(a3,a3,a3)+P3(a3,a3,a1)),
% 41.96/42.07 inference(scs_inference,[],[1549,264])).
% 41.96/42.07 cnf(1582,plain,
% 41.96/42.07 (~P3(a2,a2,a1)+P3(a3,a2,a3)),
% 41.96/42.07 inference(scs_inference,[],[1549,581])).
% 41.96/42.07 cnf(1594,plain,
% 41.96/42.07 (~P3(a1,a2,a2)+P3(a3,a3,a1)+P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[1549,799])).
% 41.96/42.07 cnf(1604,plain,
% 41.96/42.07 (P3(a1,a3,a2)+P3(a3,a3,a1)),
% 41.96/42.07 inference(scs_inference,[],[1549,1000])).
% 41.96/42.07 cnf(1622,plain,
% 41.96/42.07 (P3(a1,a2,a2)+P3(a3,a2,a1)),
% 41.96/42.07 inference(scs_inference,[],[1549,1334])).
% 41.96/42.07 cnf(1631,plain,
% 41.96/42.07 (~P3(a2,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[1550,1411])).
% 41.96/42.07 cnf(1635,plain,
% 41.96/42.07 (~P3(a2,a3,a1)),
% 41.96/42.07 inference(scs_inference,[],[1550,1485])).
% 41.96/42.07 cnf(1654,plain,
% 41.96/42.07 (~P3(a1,a3,a3)),
% 41.96/42.07 inference(scs_inference,[],[1529,1549,1511,3,2,1306,29,66,14,10,1622,1604,1582,1564,1562,1553,1526,1357,40,1594,1525,1524,798,343,367])).
% 41.96/42.07 cnf(1663,plain,
% 41.96/42.07 (~P3(a1,a3,a2)),
% 41.96/42.07 inference(scs_inference,[],[1631,1635,95])).
% 41.96/42.07 cnf(1726,plain,
% 41.96/42.07 (P3(a1,a3,a2)),
% 41.96/42.07 inference(scs_inference,[],[1654,953])).
% 41.96/42.07 cnf(1793,plain,
% 41.96/42.07 ($false),
% 41.96/42.07 inference(scs_inference,[],[1663,1726]),
% 41.96/42.07 ['proof']).
% 41.96/42.07 % SZS output end Proof
% 41.96/42.07 % Total time :41.430000s
%------------------------------------------------------------------------------