TSTP Solution File: GRP134-1.003 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP134-1.003 : 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 : 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 00:11:13 EDT 2023
% Result : Unsatisfiable 57.16s 57.25s
% Output : CNFRefutation 57.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP134-1.003 : 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 : n006.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 : Mon Aug 28 20:03:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.53 start to proof:theBenchmark
% 57.16/57.24 %-------------------------------------------
% 57.16/57.24 % File :CSE---1.6
% 57.16/57.24 % Problem :theBenchmark
% 57.16/57.24 % Transform :cnf
% 57.16/57.24 % Format :tptp:raw
% 57.16/57.24 % Command :java -jar mcs_scs.jar %d %s
% 57.16/57.24
% 57.16/57.24 % Result :Theorem 56.630000s
% 57.16/57.24 % Output :CNFRefutation 56.630000s
% 57.16/57.24 %-------------------------------------------
% 57.16/57.24 %--------------------------------------------------------------------------
% 57.16/57.24 % File : GRP134-1.003 : TPTP v8.1.2. Released v1.2.0.
% 57.16/57.24 % Domain : Group Theory (Quasigroups)
% 57.16/57.24 % Problem : (a.b).(b.a) = b, no idempotence
% 57.16/57.24 % Version : [Sla93] axioms.
% 57.16/57.24 % English : Generate the multiplication table for the specified quasi-
% 57.16/57.24 % group with 3 elements.
% 57.16/57.24
% 57.16/57.24 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 57.16/57.24 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 57.16/57.24 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 57.16/57.24 % Source : [Sla93]
% 57.16/57.24 % Names : QG4-ni [Sla93]
% 57.16/57.24
% 57.16/57.24 % Status : Unsatisfiable
% 57.16/57.24 % Rating : 0.00 v2.1.0
% 57.16/57.24 % Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR)
% 57.16/57.24 % Number of literals : 26 ( 0 equ; 16 neg)
% 57.16/57.24 % Maximal clause size : 5 ( 1 avg)
% 57.16/57.24 % Maximal term depth : 1 ( 1 avg)
% 57.16/57.24 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 57.16/57.24 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 57.16/57.24 % Number of variables : 18 ( 0 sgn)
% 57.16/57.24 % SPC : CNF_UNS_EPR_NEQ_NHN
% 57.16/57.24
% 57.16/57.24 % Comments : Slaney's [1993] axiomatization has been modified for this.
% 57.16/57.24 % : Substitution axioms are not needed, as any positive equality
% 57.16/57.24 % literals should resolve on negative ones directly.
% 57.16/57.24 % : tptp2X: -f tptp -s3 GRP134-1.g
% 57.16/57.24 %--------------------------------------------------------------------------
% 57.16/57.24 cnf(element_1,axiom,
% 57.16/57.24 group_element(e_1) ).
% 57.16/57.24
% 57.16/57.24 cnf(element_2,axiom,
% 57.16/57.24 group_element(e_2) ).
% 57.16/57.24
% 57.16/57.24 cnf(element_3,axiom,
% 57.16/57.24 group_element(e_3) ).
% 57.16/57.24
% 57.16/57.24 cnf(e_1_is_not_e_2,axiom,
% 57.16/57.24 ~ equalish(e_1,e_2) ).
% 57.16/57.24
% 57.16/57.24 cnf(e_1_is_not_e_3,axiom,
% 57.16/57.24 ~ equalish(e_1,e_3) ).
% 57.16/57.24
% 57.16/57.24 cnf(e_2_is_not_e_1,axiom,
% 57.16/57.24 ~ equalish(e_2,e_1) ).
% 57.16/57.24
% 57.16/57.24 cnf(e_2_is_not_e_3,axiom,
% 57.16/57.24 ~ equalish(e_2,e_3) ).
% 57.16/57.24
% 57.16/57.24 cnf(e_3_is_not_e_1,axiom,
% 57.16/57.24 ~ equalish(e_3,e_1) ).
% 57.16/57.24
% 57.16/57.24 cnf(e_3_is_not_e_2,axiom,
% 57.16/57.24 ~ equalish(e_3,e_2) ).
% 57.16/57.24
% 57.16/57.24 cnf(product_total_function1,axiom,
% 57.16/57.24 ( ~ group_element(X)
% 57.16/57.24 | ~ group_element(Y)
% 57.16/57.24 | product(X,Y,e_1)
% 57.16/57.24 | product(X,Y,e_2)
% 57.16/57.24 | product(X,Y,e_3) ) ).
% 57.16/57.24
% 57.16/57.24 cnf(product_total_function2,axiom,
% 57.16/57.24 ( ~ product(X,Y,W)
% 57.16/57.24 | ~ product(X,Y,Z)
% 57.16/57.24 | equalish(W,Z) ) ).
% 57.16/57.24
% 57.16/57.24 cnf(product_right_cancellation,axiom,
% 57.16/57.24 ( ~ product(X,W,Y)
% 57.16/57.24 | ~ product(X,Z,Y)
% 57.16/57.24 | equalish(W,Z) ) ).
% 57.16/57.24
% 57.16/57.24 cnf(product_left_cancellation,axiom,
% 57.16/57.24 ( ~ product(W,Y,X)
% 57.16/57.24 | ~ product(Z,Y,X)
% 57.16/57.24 | equalish(W,Z) ) ).
% 57.16/57.24
% 57.16/57.24 cnf(qg4,negated_conjecture,
% 57.16/57.24 ( ~ product(X,Y,Z1)
% 57.16/57.24 | ~ product(Y,X,Z2)
% 57.16/57.24 | product(Z1,Z2,Y) ) ).
% 57.16/57.24
% 57.16/57.24 %--------------------------------------------------------------------------
% 57.16/57.25 %-------------------------------------------
% 57.16/57.25 % Proof found
% 57.16/57.25 % SZS status Theorem for theBenchmark
% 57.16/57.25 % SZS output start Proof
% 57.16/57.25 %ClaNum:14(EqnAxiom:0)
% 57.16/57.25 %VarNum:41(SingletonVarNum:18)
% 57.16/57.25 %MaxLitNum:5
% 57.16/57.25 %MaxfuncDepth:0
% 57.16/57.25 %SharedTerms:12
% 57.16/57.25 %goalClause: 14
% 57.16/57.25 [1]P1(a1)
% 57.16/57.25 [2]P1(a2)
% 57.16/57.25 [3]P1(a3)
% 57.16/57.25 [4]~P2(a1,a2)
% 57.16/57.25 [5]~P2(a1,a3)
% 57.16/57.25 [6]~P2(a2,a1)
% 57.16/57.25 [7]~P2(a2,a3)
% 57.16/57.25 [8]~P2(a3,a1)
% 57.16/57.25 [9]~P2(a3,a2)
% 57.16/57.25 [11]~P3(x113,x114,x111)+P2(x111,x112)+~P3(x113,x114,x112)
% 57.16/57.25 [12]~P3(x123,x121,x124)+P2(x121,x122)+~P3(x123,x122,x124)
% 57.16/57.25 [13]~P3(x131,x133,x134)+P2(x131,x132)+~P3(x132,x133,x134)
% 57.16/57.25 [14]~P3(x144,x143,x141)+P3(x141,x142,x143)+~P3(x143,x144,x142)
% 57.16/57.25 [10]~P1(x102)+~P1(x101)+P3(x101,x102,a2)+P3(x101,x102,a3)+P3(x101,x102,a1)
% 57.16/57.25 %EqnAxiom
% 57.16/57.25
% 57.16/57.25 %-------------------------------------------
% 57.16/57.25 cnf(15,plain,
% 57.16/57.25 (~P3(a2,x151,x152)+~P3(a1,x151,x152)),
% 57.16/57.25 inference(scs_inference,[],[4,13])).
% 57.16/57.25 cnf(16,plain,
% 57.16/57.25 (~P3(x161,a2,x162)+~P3(x161,a1,x162)),
% 57.16/57.25 inference(scs_inference,[],[4,13,12])).
% 57.16/57.25 cnf(19,plain,
% 57.16/57.25 (P3(a2,a2,a2)+P3(a2,a2,a3)+P3(a2,a2,a1)),
% 57.16/57.25 inference(scs_inference,[],[2,10])).
% 57.16/57.25 cnf(21,plain,
% 57.16/57.25 (~P3(x211,x212,x213)+~P3(x212,x211,a1)+~P3(a2,x213,x211)),
% 57.16/57.25 inference(scs_inference,[],[15,14])).
% 57.16/57.25 cnf(24,plain,
% 57.16/57.25 (~P3(x241,x242,a3)+~P3(x241,x242,a1)),
% 57.16/57.25 inference(scs_inference,[],[5,11])).
% 57.16/57.25 cnf(25,plain,
% 57.16/57.25 (~P3(a3,x251,x252)+~P3(x253,x252,a1)+~P3(x251,a3,x253)),
% 57.16/57.25 inference(scs_inference,[],[5,11,14])).
% 57.16/57.25 cnf(28,plain,
% 57.16/57.25 (P3(a2,a2,a1)+~P3(a1,a2,a3)+P3(a2,a2,a2)),
% 57.21/57.25 inference(scs_inference,[],[19,15])).
% 57.21/57.25 cnf(29,plain,
% 57.21/57.25 (~P3(a3,x291,x292)+~P3(a1,x291,x292)),
% 57.21/57.25 inference(scs_inference,[],[5,13])).
% 57.21/57.25 cnf(30,plain,
% 57.21/57.25 (~P3(x301,a3,x302)+~P3(x301,a1,x302)),
% 57.21/57.25 inference(scs_inference,[],[5,13,12])).
% 57.21/57.25 cnf(32,plain,
% 57.21/57.25 (~P3(x321,x322,x323)+~P3(x322,x321,a1)+~P3(a3,x323,x321)),
% 57.21/57.25 inference(scs_inference,[],[29,14])).
% 57.21/57.25 cnf(34,plain,
% 57.21/57.25 (~P3(a2,a1,a2)+P3(a2,a2,a2)+~P3(a1,a2,a3)),
% 57.21/57.25 inference(scs_inference,[],[21,28])).
% 57.21/57.25 cnf(39,plain,
% 57.21/57.25 (~P3(a3,x391,x392)+~P3(a2,x391,x392)),
% 57.21/57.25 inference(scs_inference,[],[7,13])).
% 57.21/57.25 cnf(40,plain,
% 57.21/57.25 (~P3(x401,a3,x402)+~P3(x401,a2,x402)),
% 57.21/57.25 inference(scs_inference,[],[7,13,12])).
% 57.21/57.25 cnf(44,plain,
% 57.21/57.25 (P3(a3,a3,a2)+P3(a3,a3,a3)+P3(a3,a3,a1)),
% 57.21/57.25 inference(scs_inference,[],[3,10])).
% 57.21/57.25 cnf(47,plain,
% 57.21/57.25 (P3(a1,a1,a3)+P3(a1,a1,a2)+P3(a1,a1,a1)),
% 57.21/57.25 inference(scs_inference,[],[1,10])).
% 57.21/57.25 cnf(49,plain,
% 57.21/57.25 (P3(a2,a2,a3)+~P3(a3,a1,a2)+P3(a2,a2,a2)),
% 57.21/57.25 inference(scs_inference,[],[32,19])).
% 57.21/57.25 cnf(55,plain,
% 57.21/57.25 (P3(a2,a2,a2)+~P3(a2,a1,a3)+~P3(a3,a1,a2)),
% 57.21/57.25 inference(scs_inference,[],[49,16])).
% 57.21/57.25 cnf(73,plain,
% 57.21/57.25 (~P3(x731,x732,x733)+~P3(x732,x731,a2)+~P3(a1,x733,x731)),
% 57.21/57.25 inference(scs_inference,[],[15,14])).
% 57.21/57.25 cnf(74,plain,
% 57.21/57.25 (P3(a3,a3,a1)+P3(a3,a3,a3)+~P3(a1,a2,a3)),
% 57.21/57.25 inference(scs_inference,[],[73,44])).
% 57.21/57.25 cnf(77,plain,
% 57.21/57.25 (P3(a1,a1,a2)+P3(a1,a1,a3)+~P3(a2,a1,a1)),
% 57.21/57.25 inference(scs_inference,[],[15,47])).
% 57.21/57.25 cnf(98,plain,
% 57.21/57.25 (P3(a1,a2,a3)+P3(a1,a2,a1)+~P3(a2,a2,a2)),
% 57.21/57.25 inference(scs_inference,[],[2,1,15,10])).
% 57.21/57.25 cnf(106,plain,
% 57.21/57.25 (~P3(a1,a1,a2)+P3(a2,a1,a1)+P3(a2,a1,a3)),
% 57.21/57.25 inference(scs_inference,[],[1,2,15,10])).
% 57.21/57.25 cnf(120,plain,
% 57.21/57.25 (~P3(a1,a1,a3)+P3(a2,a1,a1)+P3(a2,a1,a2)),
% 57.21/57.25 inference(scs_inference,[],[1,2,15,10])).
% 57.21/57.25 cnf(128,plain,
% 57.21/57.25 (P3(a1,a3,a1)+P3(a1,a3,a3)+~P3(a2,a3,a2)),
% 57.21/57.25 inference(scs_inference,[],[1,3,15,10])).
% 57.21/57.25 cnf(137,plain,
% 57.21/57.25 (~P3(a2,a1,a2)+~P3(a1,a2,a3)),
% 57.21/57.25 inference(scs_inference,[],[16,34])).
% 57.21/57.25 cnf(168,plain,
% 57.21/57.26 (~P3(a2,a2,a2)+P3(a1,a2,a3)+~P3(a1,a1,a1)),
% 57.21/57.26 inference(scs_inference,[],[16,98])).
% 57.21/57.26 cnf(169,plain,
% 57.21/57.26 (~P3(a2,a1,a3)+~P3(a1,a1,a1)+P3(a1,a2,a3)+~P3(a3,a1,a2)),
% 57.21/57.26 inference(scs_inference,[],[168,55])).
% 57.22/57.26 cnf(174,plain,
% 57.22/57.26 (~P3(x1741,x1742,a2)+~P3(x1742,x1741,x1743)+~P3(x1743,a1,x1741)),
% 57.22/57.26 inference(scs_inference,[],[16,14])).
% 57.22/57.26 cnf(175,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+P3(a1,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[174,77])).
% 57.22/57.26 cnf(176,plain,
% 57.22/57.26 (P3(a1,a1,a3)+~P3(a1,a1,a2)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[175,106])).
% 57.22/57.26 cnf(179,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+~P3(a1,a2,a3)),
% 57.22/57.26 inference(scs_inference,[],[16,175])).
% 57.22/57.26 cnf(212,plain,
% 57.22/57.26 (P3(a1,a1,a3)+P3(a1,a1,a1)+~P3(a1,a2,a2)),
% 57.22/57.26 inference(scs_inference,[],[1,16,10])).
% 57.22/57.26 cnf(310,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a1,a1,a1)+~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[29,47])).
% 57.22/57.26 cnf(323,plain,
% 57.22/57.26 (P3(a1,a1,a3)+~P3(a1,a2,a2)+~P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[29,212])).
% 57.22/57.26 cnf(324,plain,
% 57.22/57.26 (P3(a1,a1,a3)+~P3(a3,a1,a1)+P3(a1,a2,a1)+P3(a1,a2,a3)),
% 57.22/57.26 inference(scs_inference,[],[2,1,323,10])).
% 57.22/57.26 cnf(327,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+P3(a2,a1,a3)+~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[29,176])).
% 57.22/57.26 cnf(349,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a1,a1,a3)+~P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[29,47])).
% 57.22/57.26 cnf(350,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a3,a3,a1)+~P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[349,14])).
% 57.22/57.26 cnf(373,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+P3(a3,a1,a1)+P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1,3,29,10])).
% 57.22/57.26 cnf(385,plain,
% 57.22/57.26 (P3(a1,a3,a1)+P3(a1,a3,a3)+~P3(a3,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[3,1,29,10])).
% 57.22/57.26 cnf(393,plain,
% 57.22/57.26 (P3(a1,a3,a3)+P3(a1,a3,a2)+~P3(a3,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[3,1,29,10])).
% 57.22/57.26 cnf(399,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+~P3(a1,a3,a3)),
% 57.22/57.26 inference(scs_inference,[],[30,175])).
% 57.22/57.26 cnf(418,plain,
% 57.22/57.26 (~P3(x4181,x4182,a3)+~P3(x4182,x4181,x4183)+~P3(x4183,a1,x4181)),
% 57.22/57.26 inference(scs_inference,[],[30,14])).
% 57.22/57.26 cnf(429,plain,
% 57.22/57.26 (P3(a1,a1,a2)+~P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[30,350])).
% 57.22/57.26 cnf(453,plain,
% 57.22/57.26 (P3(a1,a1,a3)+P3(a1,a1,a2)+~P3(a1,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[30,47])).
% 57.22/57.26 cnf(467,plain,
% 57.22/57.26 (~P3(a2,a1,a3)+P3(a2,a3,a1)+P3(a2,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[3,2,30,10])).
% 57.22/57.26 cnf(541,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[39,327])).
% 57.22/57.26 cnf(672,plain,
% 57.22/57.26 (~P3(x6721,x6722,a2)+~P3(x6722,x6721,x6723)+~P3(x6723,a3,x6721)),
% 57.22/57.26 inference(scs_inference,[],[40,14])).
% 57.22/57.26 cnf(926,plain,
% 57.22/57.26 (~P3(a1,a2,a3)+P3(a2,a1,a1)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2,1,137,10])).
% 57.22/57.26 cnf(928,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+~P3(a1,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[7,175,11])).
% 57.22/57.26 cnf(929,plain,
% 57.22/57.26 (~P3(x9291,x9292,a2)+~P3(x9291,x9292,a3)),
% 57.22/57.26 inference(scs_inference,[],[9,11])).
% 57.22/57.26 cnf(946,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+P3(a3,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[175,14])).
% 57.22/57.26 cnf(970,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+P3(a1,a2,a1)+P3(a1,a2,a2)),
% 57.22/57.26 inference(scs_inference,[],[2,1,179,10])).
% 57.22/57.26 cnf(982,plain,
% 57.22/57.26 (~P3(a1,a2,a3)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[179,926])).
% 57.22/57.26 cnf(1010,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+~P3(a3,a3,a1)+P3(a1,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[399,393])).
% 57.22/57.26 cnf(1011,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+P3(a1,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[1010,946])).
% 57.22/57.26 cnf(1016,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+~P3(a2,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[429,15])).
% 57.22/57.26 cnf(1045,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+~P3(a1,a2,a1)),
% 57.22/57.26 inference(scs_inference,[],[429,73])).
% 57.22/57.26 cnf(1052,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+~P3(a2,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[429,672])).
% 57.22/57.26 cnf(1053,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+~P3(a2,a1,a3)+P3(a2,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[1052,467])).
% 57.22/57.26 cnf(1054,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+~P3(a1,a2,a3)+P3(a2,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[1053,982])).
% 57.22/57.26 cnf(1055,plain,
% 57.22/57.26 (P3(a1,a1,a3)+~P3(a3,a1,a1)+P3(a2,a3,a2)+P3(a1,a2,a1)),
% 57.22/57.26 inference(scs_inference,[],[1054,324])).
% 57.22/57.26 cnf(1063,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a3,a1,a2)+P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1,3,429,10])).
% 57.22/57.26 cnf(1105,plain,
% 57.22/57.26 (~P3(a3,a1,a3)+~P3(a2,x11051,a1)+~P3(x11051,a2,a1)),
% 57.22/57.26 inference(scs_inference,[],[541,14])).
% 57.22/57.26 cnf(1107,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[541,373])).
% 57.22/57.26 cnf(1113,plain,
% 57.22/57.26 (~P3(a3,a1,a3)+P3(a1,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[541,310])).
% 57.22/57.26 cnf(1175,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[928,106])).
% 57.22/57.26 cnf(1176,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1175,429])).
% 57.22/57.26 cnf(1321,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+~P3(a1,a2,a2)),
% 57.22/57.26 inference(scs_inference,[],[1011,40])).
% 57.22/57.26 cnf(1322,plain,
% 57.22/57.26 (~P3(a2,a1,a1)+P3(a1,a2,a1)),
% 57.22/57.26 inference(scs_inference,[],[1321,970])).
% 57.22/57.26 cnf(1354,plain,
% 57.22/57.26 (~P3(a2,a1,a2)+P3(a3,a1,a2)+P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1,3,1016,10])).
% 57.22/57.26 cnf(1430,plain,
% 57.22/57.26 (~P3(a1,a2,a1)+~P3(a1,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1045,1107])).
% 57.22/57.26 cnf(1431,plain,
% 57.22/57.26 (~P3(a1,a2,a1)+~P3(a2,x14311,a1)+~P3(x14311,a2,a1)),
% 57.22/57.26 inference(scs_inference,[],[1430,14])).
% 57.22/57.26 cnf(1432,plain,
% 57.22/57.26 (~P3(a2,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1431,1322])).
% 57.22/57.26 cnf(1434,plain,
% 57.22/57.26 (~P3(a1,a1,a3)+P3(a2,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1432,120])).
% 57.22/57.26 cnf(1454,plain,
% 57.22/57.26 (P3(a2,a1,a3)+~P3(a2,a2,a2)),
% 57.22/57.26 inference(scs_inference,[],[1432,1,2,10,929,39,30,16])).
% 57.22/57.26 cnf(1456,plain,
% 57.22/57.26 (P3(a3,a1,a3)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1432,1,2,10,929,39,30,16,1354])).
% 57.22/57.26 cnf(1476,plain,
% 57.22/57.26 (P3(a1,a1,a1)+P3(a1,a1,a2)+P3(a2,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1434,47])).
% 57.22/57.26 cnf(1490,plain,
% 57.22/57.26 (P3(a2,a1,a3)+P3(a2,a2,a3)+P3(a2,a2,a1)),
% 57.22/57.26 inference(scs_inference,[],[1454,19])).
% 57.22/57.26 cnf(1512,plain,
% 57.22/57.26 (P3(a2,a2,a3)+P3(a2,a1,a3)+~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1490,1105])).
% 57.22/57.26 cnf(1524,plain,
% 57.22/57.26 (P3(a2,a1,a3)+~P3(a3,a1,a3)+P3(a3,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[1512,14])).
% 57.22/57.26 cnf(1528,plain,
% 57.22/57.26 (P3(a3,a3,a2)+~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1524,39])).
% 57.22/57.26 cnf(1547,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+P3(a1,a1,a3)+P3(a2,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[1045,1055])).
% 57.22/57.26 cnf(1548,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+P3(a2,a3,a2)+~P3(a1,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1547,929])).
% 57.22/57.26 cnf(1549,plain,
% 57.22/57.26 (~P3(a3,a1,a1)+P3(a2,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[1548,429])).
% 57.22/57.26 cnf(1615,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+~P3(a1,a3,a3)),
% 57.22/57.26 inference(scs_inference,[],[1107,25])).
% 57.22/57.26 cnf(1616,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+~P3(a2,a3,a2)+P3(a1,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[1615,128])).
% 57.22/57.26 cnf(1625,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+~P3(a1,a3,x16251)+P3(x16251,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1107,14])).
% 57.22/57.26 cnf(1626,plain,
% 57.22/57.26 (~P3(a1,a3,a1)+P3(a1,a1,a3)+P3(x16261,a1,a3)+~P3(a1,a3,x16261)),
% 57.22/57.26 inference(scs_inference,[],[1625,453])).
% 57.22/57.26 cnf(1636,plain,
% 57.22/57.26 (P3(a3,a1,a2)+P3(a3,a1,a3)+P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1107,1063])).
% 57.22/57.26 cnf(1637,plain,
% 57.22/57.26 (P3(a3,a1,a3)+P3(a3,a1,a1)+~P3(a2,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1636,39])).
% 57.22/57.26 cnf(1668,plain,
% 57.22/57.26 (P3(a1,a1,a1)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1113,1456])).
% 57.22/57.26 cnf(1669,plain,
% 57.22/57.26 (P3(a1,a1,a1)+~P3(a1,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1668,15])).
% 57.22/57.26 cnf(1724,plain,
% 57.22/57.26 (P3(a1,a1,a1)+~P3(a2,a1,a2)+P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1113,1637])).
% 57.22/57.26 cnf(1725,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a1,a1,a1)+P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1724,1476])).
% 57.22/57.26 cnf(1726,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a3,a1,a1)+~P3(a1,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1725,24])).
% 57.22/57.26 cnf(1727,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a3,a1,a1)+~P3(a1,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[1726,1626])).
% 57.22/57.26 cnf(1728,plain,
% 57.22/57.26 (P3(a1,a1,a2)+~P3(a3,a3,a2)+P3(a1,a3,a3)+P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1727,385])).
% 57.22/57.26 cnf(1808,plain,
% 57.22/57.26 (P3(a2,a1,a3)+~P3(a1,a1,a3)+P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1175,1726])).
% 57.22/57.26 cnf(1809,plain,
% 57.22/57.26 (P3(a2,a1,a3)+P3(a3,a1,a1)+~P3(a1,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[1808,1626])).
% 57.22/57.26 cnf(1825,plain,
% 57.22/57.26 (~P3(a1,a3,a1)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1176,1809])).
% 57.22/57.26 cnf(1826,plain,
% 57.22/57.26 (~P3(a1,a3,a1)+~P3(a2,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1825,929])).
% 57.22/57.26 cnf(1827,plain,
% 57.22/57.26 (~P3(a1,a3,a1)+~P3(a1,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1826,1434])).
% 57.22/57.26 cnf(1828,plain,
% 57.22/57.26 (~P3(a1,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[1827,1626])).
% 57.22/57.26 cnf(1872,plain,
% 57.22/57.26 (~P3(a2,a3,a2)+~P3(a1,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1828,1616])).
% 57.22/57.26 cnf(1880,plain,
% 57.22/57.26 (~P3(a1,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[1828,14,1669])).
% 57.22/57.26 cnf(1881,plain,
% 57.22/57.26 (P3(a1,a1,a2)+P3(a1,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1880,47])).
% 57.22/57.26 cnf(1948,plain,
% 57.22/57.26 (~P3(a3,x19481,a1)+~P3(x19481,a3,a1)),
% 57.22/57.26 inference(scs_inference,[],[1880,14])).
% 57.22/57.26 cnf(1952,plain,
% 57.22/57.26 (~P3(a1,a1,a2)+~P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[1872,1549])).
% 57.22/57.26 cnf(2022,plain,
% 57.22/57.26 (~P3(a1,a2,a3)+P3(a3,a3,a3)),
% 57.22/57.26 inference(scs_inference,[],[1948,74])).
% 57.22/57.26 cnf(2024,plain,
% 57.22/57.26 (~P3(a1,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[1952,1107])).
% 57.22/57.26 cnf(2027,plain,
% 57.22/57.26 (~P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[2024,429])).
% 57.22/57.26 cnf(2036,plain,
% 57.22/57.26 (P3(a3,a1,a2)+P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2024,1063])).
% 57.22/57.26 cnf(2051,plain,
% 57.22/57.26 (~P3(a3,a3,a2)+P3(a1,a3,a3)+P3(a3,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[2024,1728])).
% 57.22/57.26 cnf(2054,plain,
% 57.22/57.26 (P3(a1,a1,a1)),
% 57.22/57.26 inference(scs_inference,[],[2024,1881])).
% 57.22/57.26 cnf(2068,plain,
% 57.22/57.26 (P3(a1,a2,a3)+~P3(a3,a1,a2)+~P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2054,169])).
% 57.22/57.26 cnf(2140,plain,
% 57.22/57.26 (P3(a1,a3,a3)+~P3(a3,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[2027,2051])).
% 57.22/57.26 cnf(2192,plain,
% 57.22/57.26 (~P3(a1,a2,a3)+~P3(a3,a3,a2)),
% 57.22/57.26 inference(scs_inference,[],[2022,929])).
% 57.22/57.26 cnf(2274,plain,
% 57.22/57.26 (~P3(a3,a3,a2)+~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2140,418])).
% 57.22/57.26 cnf(2312,plain,
% 57.22/57.26 (~P3(a1,a2,a3)+~P3(a2,x23121,a3)+~P3(x23121,a2,a3)),
% 57.22/57.26 inference(scs_inference,[],[2192,14])).
% 57.22/57.26 cnf(2336,plain,
% 57.22/57.26 (~P3(a3,a3,a2)+P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2274,1456])).
% 57.22/57.26 cnf(2357,plain,
% 57.22/57.26 (P3(a2,a1,a3)+~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2336,1528])).
% 57.22/57.26 cnf(2371,plain,
% 57.22/57.26 (~P3(a3,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2357,39])).
% 57.22/57.26 cnf(2381,plain,
% 57.22/57.26 (P3(a2,a1,a3)),
% 57.22/57.26 inference(scs_inference,[],[2371,1456])).
% 57.22/57.26 cnf(2399,plain,
% 57.22/57.26 (P3(a3,a1,a2)),
% 57.22/57.26 inference(scs_inference,[],[2371,2036])).
% 57.22/57.26 cnf(2545,plain,
% 57.22/57.26 (P3(a1,a2,a3)),
% 57.22/57.26 inference(scs_inference,[],[2399,2381,2068])).
% 57.22/57.26 cnf(2715,plain,
% 57.22/57.26 (~P3(x27151,a2,a3)+~P3(a2,x27151,a3)),
% 57.22/57.26 inference(scs_inference,[],[2545,2312])).
% 57.22/57.26 cnf(2747,plain,
% 57.22/57.26 ($false),
% 57.22/57.26 inference(scs_inference,[],[2381,2545,2715]),
% 57.22/57.26 ['proof']).
% 57.22/57.26 % SZS output end Proof
% 57.22/57.26 % Total time :56.630000s
%------------------------------------------------------------------------------