TSTP Solution File: GRP124-2.004 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP124-2.004 : 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 : n017.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 00:11:01 EDT 2023
% Result : Unsatisfiable 0.74s 0.80s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 00:24:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.59 start to proof:theBenchmark
% 0.74/0.79 %-------------------------------------------
% 0.74/0.79 % File :CSE---1.6
% 0.74/0.79 % Problem :theBenchmark
% 0.74/0.79 % Transform :cnf
% 0.74/0.79 % Format :tptp:raw
% 0.74/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.74/0.79
% 0.74/0.79 % Result :Theorem 0.140000s
% 0.74/0.79 % Output :CNFRefutation 0.140000s
% 0.74/0.79 %-------------------------------------------
% 0.74/0.79 %--------------------------------------------------------------------------
% 0.74/0.79 % File : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.74/0.79 % Domain : Group Theory (Quasigroups)
% 0.74/0.79 % Problem : (3,1,2) conjugate orthogonality
% 0.74/0.79 % Version : [Sla93] axioms : Augmented.
% 0.74/0.79 % English : If ab=xy and a*b = x*y then a=x and b=y, where c*a=b iff ab=c.
% 0.74/0.79 % Generate the multiplication table for the specified quasi-
% 0.74/0.79 % group with 4 elements.
% 0.74/0.79
% 0.74/0.79 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 0.74/0.79 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 0.74/0.79 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 0.74/0.79 % Source : [TPTP]
% 0.74/0.79 % Names :
% 0.74/0.79
% 0.74/0.79 % Status : Unsatisfiable
% 0.74/0.79 % Rating : 0.00 v2.1.0
% 0.74/0.79 % Syntax : Number of clauses : 33 ( 26 unt; 1 nHn; 32 RR)
% 0.74/0.79 % Number of literals : 54 ( 0 equ; 31 neg)
% 0.74/0.79 % Maximal clause size : 6 ( 1 avg)
% 0.74/0.79 % Maximal term depth : 1 ( 1 avg)
% 0.74/0.79 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% 0.74/0.79 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 0.74/0.79 % Number of variables : 30 ( 0 sgn)
% 0.74/0.79 % SPC : CNF_UNS_EPR_NEQ_NHN
% 0.74/0.79
% 0.74/0.79 % Comments : [SFS93]'s axiomatization has been modified for this.
% 0.74/0.79 % : Substitution axioms are not needed, as any positive equality
% 0.74/0.79 % literals should resolve on negative ones directly.
% 0.74/0.79 % : As in GRP123-1, either one of qg2_1 or qg2_2 may be used, as
% 0.74/0.79 % each implies the other in this scenario, with the help of
% 0.74/0.79 % cancellation. The dependence cannot be proved, so both have
% 0.74/0.79 % been left in here.
% 0.74/0.79 % : Version 2 has simple isomorphism avoidance (as mentioned in
% 0.74/0.79 % [FSB93])
% 0.74/0.79 % : tptp2X: -f tptp -s4 GRP124-2.g
% 0.74/0.79 %--------------------------------------------------------------------------
% 0.74/0.79 cnf(e_1_then_e_2,axiom,
% 0.74/0.79 next(e_1,e_2) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_2_then_e_3,axiom,
% 0.74/0.79 next(e_2,e_3) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_3_then_e_4,axiom,
% 0.74/0.79 next(e_3,e_4) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_2_greater_e_1,axiom,
% 0.74/0.79 greater(e_2,e_1) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_3_greater_e_1,axiom,
% 0.74/0.79 greater(e_3,e_1) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_4_greater_e_1,axiom,
% 0.74/0.79 greater(e_4,e_1) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_3_greater_e_2,axiom,
% 0.74/0.79 greater(e_3,e_2) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_4_greater_e_2,axiom,
% 0.74/0.79 greater(e_4,e_2) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_4_greater_e_3,axiom,
% 0.74/0.79 greater(e_4,e_3) ).
% 0.74/0.79
% 0.74/0.79 cnf(no_redundancy,axiom,
% 0.74/0.79 ( ~ product(X,e_1,Y)
% 0.74/0.79 | ~ next(X,X1)
% 0.74/0.79 | ~ greater(Y,X1) ) ).
% 0.74/0.79
% 0.74/0.79 cnf(element_1,axiom,
% 0.74/0.79 group_element(e_1) ).
% 0.74/0.79
% 0.74/0.79 cnf(element_2,axiom,
% 0.74/0.79 group_element(e_2) ).
% 0.74/0.79
% 0.74/0.79 cnf(element_3,axiom,
% 0.74/0.79 group_element(e_3) ).
% 0.74/0.79
% 0.74/0.79 cnf(element_4,axiom,
% 0.74/0.79 group_element(e_4) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_1_is_not_e_2,axiom,
% 0.74/0.79 ~ equalish(e_1,e_2) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_1_is_not_e_3,axiom,
% 0.74/0.79 ~ equalish(e_1,e_3) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_1_is_not_e_4,axiom,
% 0.74/0.79 ~ equalish(e_1,e_4) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_2_is_not_e_1,axiom,
% 0.74/0.79 ~ equalish(e_2,e_1) ).
% 0.74/0.79
% 0.74/0.79 cnf(e_2_is_not_e_3,axiom,
% 0.74/0.79 ~ equalish(e_2,e_3) ).
% 0.74/0.80
% 0.74/0.80 cnf(e_2_is_not_e_4,axiom,
% 0.74/0.80 ~ equalish(e_2,e_4) ).
% 0.74/0.80
% 0.74/0.80 cnf(e_3_is_not_e_1,axiom,
% 0.74/0.80 ~ equalish(e_3,e_1) ).
% 0.74/0.80
% 0.74/0.80 cnf(e_3_is_not_e_2,axiom,
% 0.74/0.80 ~ equalish(e_3,e_2) ).
% 0.74/0.80
% 0.74/0.80 cnf(e_3_is_not_e_4,axiom,
% 0.74/0.80 ~ equalish(e_3,e_4) ).
% 0.74/0.80
% 0.74/0.80 cnf(e_4_is_not_e_1,axiom,
% 0.74/0.80 ~ equalish(e_4,e_1) ).
% 0.74/0.80
% 0.74/0.80 cnf(e_4_is_not_e_2,axiom,
% 0.74/0.80 ~ equalish(e_4,e_2) ).
% 0.74/0.80
% 0.74/0.80 cnf(e_4_is_not_e_3,axiom,
% 0.74/0.80 ~ equalish(e_4,e_3) ).
% 0.74/0.80
% 0.74/0.80 cnf(product_total_function1,axiom,
% 0.74/0.80 ( ~ group_element(X)
% 0.74/0.80 | ~ group_element(Y)
% 0.74/0.80 | product(X,Y,e_1)
% 0.74/0.80 | product(X,Y,e_2)
% 0.74/0.80 | product(X,Y,e_3)
% 0.74/0.80 | product(X,Y,e_4) ) ).
% 0.74/0.80
% 0.74/0.80 cnf(product_total_function2,axiom,
% 0.74/0.80 ( ~ product(X,Y,W)
% 0.74/0.80 | ~ product(X,Y,Z)
% 0.74/0.80 | equalish(W,Z) ) ).
% 0.74/0.80
% 0.74/0.80 cnf(product_right_cancellation,axiom,
% 0.74/0.80 ( ~ product(X,W,Y)
% 0.74/0.80 | ~ product(X,Z,Y)
% 0.74/0.80 | equalish(W,Z) ) ).
% 0.74/0.80
% 0.74/0.80 cnf(product_left_cancellation,axiom,
% 0.74/0.80 ( ~ product(W,Y,X)
% 0.74/0.80 | ~ product(Z,Y,X)
% 0.74/0.80 | equalish(W,Z) ) ).
% 0.74/0.80
% 0.74/0.80 cnf(product_idempotence,axiom,
% 0.74/0.80 product(X,X,X) ).
% 0.74/0.80
% 0.74/0.80 cnf(qg2_1,negated_conjecture,
% 0.74/0.80 ( ~ product(X1,Y1,Z1)
% 0.74/0.80 | ~ product(X2,Y2,Z1)
% 0.74/0.80 | ~ product(Z2,X1,Y1)
% 0.74/0.80 | ~ product(Z2,X2,Y2)
% 0.74/0.80 | equalish(X1,X2) ) ).
% 0.74/0.80
% 0.74/0.80 cnf(qg2_2,negated_conjecture,
% 0.74/0.80 ( ~ product(X1,Y1,Z1)
% 0.74/0.80 | ~ product(X2,Y2,Z1)
% 0.74/0.80 | ~ product(Z2,X1,Y1)
% 0.74/0.80 | ~ product(Z2,X2,Y2)
% 0.74/0.80 | equalish(Y1,Y2) ) ).
% 0.74/0.80
% 0.74/0.80 %--------------------------------------------------------------------------
% 0.74/0.80 %-------------------------------------------
% 0.74/0.80 % Proof found
% 0.74/0.80 % SZS status Theorem for theBenchmark
% 0.74/0.80 % SZS output start Proof
% 0.74/0.80 %ClaNum:33(EqnAxiom:0)
% 0.74/0.80 %VarNum:71(SingletonVarNum:30)
% 0.74/0.80 %MaxLitNum:6
% 0.74/0.80 %MaxfuncDepth:0
% 0.74/0.80 %SharedTerms:29
% 0.74/0.80 %goalClause: 32 33
% 0.74/0.80 [1]P1(a1)
% 0.74/0.80 [2]P1(a2)
% 0.74/0.80 [3]P1(a3)
% 0.74/0.80 [4]P1(a4)
% 0.74/0.80 [5]P4(a1,a2)
% 0.74/0.80 [6]P4(a2,a3)
% 0.74/0.80 [7]P4(a3,a4)
% 0.74/0.80 [8]P2(a2,a1)
% 0.74/0.80 [9]P2(a3,a1)
% 0.74/0.80 [10]P2(a3,a2)
% 0.74/0.80 [11]P2(a4,a1)
% 0.74/0.80 [12]P2(a4,a2)
% 0.74/0.80 [13]P2(a4,a3)
% 0.74/0.80 [15]~P3(a1,a2)
% 0.74/0.80 [16]~P3(a1,a3)
% 0.74/0.80 [17]~P3(a1,a4)
% 0.74/0.80 [18]~P3(a2,a1)
% 0.74/0.80 [19]~P3(a2,a3)
% 0.74/0.80 [20]~P3(a2,a4)
% 0.74/0.80 [21]~P3(a3,a1)
% 0.74/0.80 [22]~P3(a3,a2)
% 0.74/0.80 [23]~P3(a3,a4)
% 0.74/0.80 [24]~P3(a4,a1)
% 0.74/0.80 [25]~P3(a4,a2)
% 0.74/0.80 [26]~P3(a4,a3)
% 0.74/0.80 [14]P5(x141,x141,x141)
% 0.74/0.80 [27]~P4(x271,x272)+~P2(x273,x272)+~P5(x271,a1,x273)
% 0.74/0.80 [28]~P5(x283,x284,x281)+P3(x281,x282)+~P5(x283,x284,x282)
% 0.74/0.80 [29]~P5(x293,x291,x294)+P3(x291,x292)+~P5(x293,x292,x294)
% 0.74/0.80 [30]~P5(x301,x303,x304)+P3(x301,x302)+~P5(x302,x303,x304)
% 0.74/0.80 [32]~P5(x325,x321,x326)+P3(x321,x322)+~P5(x323,x324,x322)+~P5(x323,x325,x321)+~P5(x324,x322,x326)
% 0.74/0.80 [33]~P5(x331,x335,x336)+P3(x331,x332)+~P5(x333,x332,x334)+~P5(x333,x331,x335)+~P5(x332,x334,x336)
% 0.74/0.80 [31]~P1(x312)+~P1(x311)+P5(x311,x312,a2)+P5(x311,x312,a3)+P5(x311,x312,a4)+P5(x311,x312,a1)
% 0.74/0.80 %EqnAxiom
% 0.74/0.80
% 0.74/0.80 %-------------------------------------------
% 0.74/0.80 cnf(36,plain,
% 0.74/0.80 (P5(x361,x361,x361)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(38,plain,
% 0.74/0.80 (~P5(a1,a2,a1)),
% 0.74/0.80 inference(scs_inference,[],[14,36,5,15,30,27,29])).
% 0.74/0.80 cnf(39,plain,
% 0.74/0.80 (P5(x391,x391,x391)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(42,plain,
% 0.74/0.80 (P5(x421,x421,x421)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(44,plain,
% 0.74/0.80 (~P5(a2,x441,a1)+~P5(a1,a2,x441)),
% 0.74/0.80 inference(scs_inference,[],[14,36,39,42,5,15,30,27,29,28,33])).
% 0.74/0.80 cnf(45,plain,
% 0.74/0.80 (P5(x451,x451,x451)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(47,plain,
% 0.74/0.80 (~P5(x471,a2,a1)+~P5(a1,x471,a2)),
% 0.74/0.80 inference(scs_inference,[],[14,36,39,42,45,5,15,30,27,29,28,33,32])).
% 0.74/0.80 cnf(53,plain,
% 0.74/0.80 (P5(x531,x531,x531)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(56,plain,
% 0.74/0.80 (P5(x561,x561,x561)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(58,plain,
% 0.74/0.80 (~P5(a2,a1,a4)),
% 0.74/0.80 inference(scs_inference,[],[6,13,16,14,53,30,29,27])).
% 0.74/0.80 cnf(61,plain,
% 0.74/0.80 (P5(x611,x611,x611)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(65,plain,
% 0.74/0.80 (P5(a1,a2,a3)+P5(a1,a2,a2)+P5(a1,a2,a4)),
% 0.74/0.80 inference(scs_inference,[],[1,6,13,16,2,14,53,56,61,38,30,29,27,28,33,31])).
% 0.74/0.80 cnf(70,plain,
% 0.74/0.80 (~P5(a1,a4,a4)),
% 0.74/0.80 inference(scs_inference,[],[17,14,32,30])).
% 0.74/0.80 cnf(84,plain,
% 0.74/0.80 (P5(x841,x841,x841)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(88,plain,
% 0.74/0.80 (P5(x881,x881,x881)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(90,plain,
% 0.74/0.80 (~P5(a1,a2,a2)),
% 0.74/0.80 inference(scs_inference,[],[18,19,5,14,84,88,29,27,32,30])).
% 0.74/0.80 cnf(93,plain,
% 0.74/0.80 (~P5(a3,a1,a2)+P5(a1,a2,a4)),
% 0.74/0.80 inference(scs_inference,[],[2,18,19,38,5,14,84,88,1,29,27,32,30,31])).
% 0.74/0.80 cnf(97,plain,
% 0.74/0.80 (P5(a1,a2,a3)+P5(a1,a2,a4)),
% 0.74/0.80 inference(scs_inference,[],[90,65])).
% 0.74/0.80 cnf(100,plain,
% 0.74/0.80 (~P5(a2,a4,a2)),
% 0.74/0.80 inference(scs_inference,[],[20,14,33,29])).
% 0.74/0.80 cnf(101,plain,
% 0.74/0.80 (P5(x1011,x1011,x1011)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(105,plain,
% 0.74/0.80 (~P5(a2,a4,a4)),
% 0.74/0.80 inference(scs_inference,[],[12,20,5,14,101,33,29,27,30])).
% 0.74/0.80 cnf(110,plain,
% 0.74/0.80 (~P5(a1,a3,a1)),
% 0.74/0.80 inference(scs_inference,[],[21,14,32,29])).
% 0.74/0.80 cnf(113,plain,
% 0.74/0.80 (P5(a2,a4,a1)+P5(a2,a4,a3)),
% 0.74/0.80 inference(scs_inference,[],[4,21,14,105,100,2,32,29,31])).
% 0.74/0.80 cnf(115,plain,
% 0.74/0.80 (P5(a2,a4,a3)+~P5(a1,a2,a4)),
% 0.74/0.80 inference(scs_inference,[],[4,21,14,105,100,2,32,29,31,44])).
% 0.74/0.80 cnf(128,plain,
% 0.74/0.80 (P5(a1,a3,a4)+P5(a1,a3,a3)+P5(a1,a3,a2)),
% 0.74/0.80 inference(scs_inference,[],[5,14,110,3,1,33,27,31])).
% 0.74/0.80 cnf(141,plain,
% 0.74/0.80 (~P5(a4,x1411,a3)+~P5(a3,a4,x1411)),
% 0.74/0.80 inference(scs_inference,[],[23,14,28,33])).
% 0.74/0.80 cnf(143,plain,
% 0.74/0.80 (P5(x1431,x1431,x1431)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(145,plain,
% 0.74/0.80 (~P5(a4,a3,a3)),
% 0.74/0.80 inference(scs_inference,[],[23,14,143,28,33,30])).
% 0.74/0.80 cnf(146,plain,
% 0.74/0.80 (P5(x1461,x1461,x1461)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(148,plain,
% 0.74/0.80 (~P5(a3,a4,a3)),
% 0.74/0.80 inference(scs_inference,[],[23,14,143,146,28,33,30,29])).
% 0.74/0.80 cnf(149,plain,
% 0.74/0.80 (P5(x1491,x1491,x1491)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(151,plain,
% 0.74/0.80 (~P5(x1511,a4,a3)+~P5(a3,x1511,a4)),
% 0.74/0.80 inference(scs_inference,[],[23,14,143,146,149,28,33,30,29,32])).
% 0.74/0.80 cnf(154,plain,
% 0.74/0.80 (P5(a4,a3,a2)+P5(a4,a3,a4)+P5(a4,a3,a1)),
% 0.74/0.80 inference(scs_inference,[],[23,14,143,146,149,4,3,28,33,30,29,32,31])).
% 0.74/0.80 cnf(159,plain,
% 0.74/0.80 (P5(x1591,x1591,x1591)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(164,plain,
% 0.74/0.80 (P5(x1641,x1641,x1641)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(166,plain,
% 0.74/0.80 (~P5(a1,a4,a1)),
% 0.74/0.80 inference(scs_inference,[],[24,14,159,164,28,33,30,29])).
% 0.74/0.80 cnf(180,plain,
% 0.74/0.80 (P5(x1801,x1801,x1801)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(184,plain,
% 0.74/0.80 (~P5(a2,x1841,a4)+~P5(x1841,a4,a2)),
% 0.74/0.80 inference(scs_inference,[],[25,14,180,28,33,32])).
% 0.74/0.80 cnf(206,plain,
% 0.74/0.80 (P5(x2061,x2061,x2061)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(208,plain,
% 0.74/0.80 (~P5(a3,a4,a4)),
% 0.74/0.80 inference(scs_inference,[],[26,14,206,32,28,30])).
% 0.74/0.80 cnf(209,plain,
% 0.74/0.80 (P5(x2091,x2091,x2091)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(211,plain,
% 0.74/0.80 (~P5(a4,a3,a4)),
% 0.74/0.80 inference(scs_inference,[],[26,14,206,209,32,28,30,29])).
% 0.74/0.80 cnf(216,plain,
% 0.74/0.80 (P5(a4,a3,a2)+P5(a4,a3,a1)),
% 0.74/0.80 inference(scs_inference,[],[7,26,14,206,209,32,28,30,29,27,154])).
% 0.74/0.80 cnf(227,plain,
% 0.74/0.80 (~P5(a2,a3,a3)),
% 0.74/0.80 inference(scs_inference,[],[19,14,32,30])).
% 0.74/0.80 cnf(228,plain,
% 0.74/0.80 (P5(x2281,x2281,x2281)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(231,plain,
% 0.74/0.80 (P5(x2311,x2311,x2311)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(233,plain,
% 0.74/0.80 (~P5(a3,a2,a3)),
% 0.74/0.80 inference(scs_inference,[],[19,14,228,231,32,30,28,29])).
% 0.74/0.80 cnf(234,plain,
% 0.74/0.80 (P5(x2341,x2341,x2341)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(239,plain,
% 0.74/0.80 (P5(a1,a4,a3)+P5(a1,a4,a2)),
% 0.74/0.80 inference(scs_inference,[],[70,19,14,228,231,234,166,4,1,32,30,28,29,33,31])).
% 0.74/0.80 cnf(246,plain,
% 0.74/0.80 (P5(x2461,x2461,x2461)),
% 0.74/0.80 inference(rename_variables,[],[14])).
% 0.74/0.80 cnf(252,plain,
% 0.74/0.80 (P5(a2,a1,a3)+P5(a2,a1,a2)+P5(a2,a1,a1)),
% 0.74/0.80 inference(scs_inference,[],[58,22,14,246,2,5,1,32,27,33,31])).
% 0.74/0.80 cnf(261,plain,
% 0.74/0.80 (~P5(a1,a4,a3)+P5(a4,a3,a2)),
% 0.74/0.81 inference(scs_inference,[],[21,14,211,145,3,4,28,32,31])).
% 0.74/0.81 cnf(279,plain,
% 0.74/0.81 (P5(x2791,x2791,x2791)),
% 0.74/0.81 inference(rename_variables,[],[14])).
% 0.74/0.81 cnf(282,plain,
% 0.74/0.81 (P5(x2821,x2821,x2821)),
% 0.74/0.81 inference(rename_variables,[],[14])).
% 0.74/0.81 cnf(284,plain,
% 0.74/0.81 (~P5(a4,a2,a2)),
% 0.74/0.81 inference(scs_inference,[],[20,14,279,282,5,32,28,27,30])).
% 0.74/0.81 cnf(301,plain,
% 0.74/0.81 (P5(x3011,x3011,x3011)),
% 0.74/0.81 inference(rename_variables,[],[14])).
% 0.74/0.81 cnf(306,plain,
% 0.74/0.81 (P5(x3061,x3061,x3061)),
% 0.74/0.81 inference(rename_variables,[],[14])).
% 0.74/0.81 cnf(308,plain,
% 0.74/0.81 (P5(a3,a2,a1)+P5(a3,a2,a4)),
% 0.74/0.81 inference(scs_inference,[],[22,14,301,233,3,2,5,30,28,27,31])).
% 0.74/0.81 cnf(310,plain,
% 0.74/0.81 (~P5(x3101,a2,a4)+~P5(a4,x3101,a2)),
% 0.74/0.81 inference(scs_inference,[],[22,25,14,301,306,233,3,2,5,30,28,27,31,32])).
% 0.74/0.81 cnf(317,plain,
% 0.74/0.81 (P5(x3171,x3171,x3171)),
% 0.74/0.81 inference(rename_variables,[],[14])).
% 0.74/0.81 cnf(319,plain,
% 0.74/0.81 (P5(a1,a3,a4)+P5(a1,a3,a2)),
% 0.74/0.81 inference(scs_inference,[],[21,14,32,30,128])).
% 0.74/0.81 cnf(320,plain,
% 0.74/0.81 (~P5(a3,a4,a1)+P5(a1,a3,a2)),
% 0.74/0.81 inference(scs_inference,[],[21,14,317,32,30,128,33])).
% 0.74/0.81 cnf(322,plain,
% 0.74/0.81 (P5(x3221,x3221,x3221)),
% 0.74/0.81 inference(rename_variables,[],[14])).
% 0.74/0.81 cnf(324,plain,
% 0.74/0.81 (~P5(a3,a3,a2)+P5(a1,a3,a2)),
% 0.74/0.81 inference(scs_inference,[],[21,22,14,317,322,32,30,128,33,28])).
% 0.74/0.81 cnf(327,plain,
% 0.74/0.81 (P5(a3,a4,a2)+P5(a1,a3,a2)),
% 0.74/0.81 inference(scs_inference,[],[21,22,14,317,322,208,148,4,3,32,30,128,33,28,31])).
% 0.74/0.81 cnf(345,plain,
% 0.74/0.81 (P5(a2,a1,a3)+P5(a2,a1,a1)),
% 0.74/0.81 inference(scs_inference,[],[18,14,32,29,252])).
% 0.74/0.81 cnf(348,plain,
% 0.74/0.81 (P5(a2,a1,a1)+P5(a2,a3,a2)+P5(a2,a3,a1)+P5(a2,a3,a4)),
% 0.74/0.81 inference(scs_inference,[],[18,14,227,9,2,3,32,29,252,27,31])).
% 0.74/0.81 cnf(353,plain,
% 0.74/0.81 (~P5(a4,a2,a4)),
% 0.74/0.81 inference(scs_inference,[],[20,14,33,29])).
% 0.74/0.81 cnf(361,plain,
% 0.74/0.81 (P5(x3611,x3611,x3611)),
% 0.74/0.81 inference(rename_variables,[],[14])).
% 0.74/0.81 cnf(363,plain,
% 0.74/0.81 (~P5(a3,x3631,a1)+~P5(x3631,a1,a3)),
% 0.74/0.81 inference(scs_inference,[],[14,361,16,5,30,27,32])).
% 0.74/0.81 cnf(376,plain,
% 0.74/0.81 (~P5(a2,a1,a1)),
% 0.74/0.81 inference(scs_inference,[],[14,15,33,30])).
% 0.74/0.81 cnf(385,plain,
% 0.74/0.81 (P5(a2,a1,a3)),
% 0.74/0.81 inference(scs_inference,[],[376,345])).
% 0.74/0.81 cnf(386,plain,
% 0.74/0.81 (P5(a2,a3,a2)+P5(a2,a3,a1)+P5(a2,a3,a4)),
% 0.74/0.81 inference(scs_inference,[],[376,348])).
% 0.74/0.81 cnf(387,plain,
% 0.74/0.81 (P5(a1,a4,a3)+~P5(a4,a2,a1)),
% 0.74/0.81 inference(scs_inference,[],[47,239])).
% 0.74/0.81 cnf(402,plain,
% 0.74/0.81 (P5(a3,a4,a2)),
% 0.74/0.81 inference(scs_inference,[],[22,385,6,14,32,28,29,30,27,363,327])).
% 0.74/0.81 cnf(405,plain,
% 0.74/0.81 (P5(a3,a2,a4)),
% 0.74/0.81 inference(scs_inference,[],[22,385,6,14,32,28,29,30,27,363,327,324,319,308])).
% 0.74/0.81 cnf(410,plain,
% 0.74/0.81 (~P5(a4,a2,a3)),
% 0.74/0.81 inference(scs_inference,[],[22,385,6,14,32,28,29,30,27,363,327,324,319,308,184,151,141])).
% 0.74/0.81 cnf(414,plain,
% 0.74/0.81 (P5(a1,a2,a3)),
% 0.74/0.81 inference(scs_inference,[],[22,385,6,14,32,28,29,30,27,363,327,324,319,308,184,151,141,115,113,97])).
% 0.74/0.81 cnf(419,plain,
% 0.74/0.81 (P5(a2,a3,a2)),
% 0.74/0.81 inference(scs_inference,[],[22,385,6,14,32,28,29,30,27,363,327,324,319,308,184,151,141,115,113,97,93,44,320,386])).
% 0.74/0.81 cnf(435,plain,
% 0.74/0.81 ($false),
% 0.74/0.81 inference(scs_inference,[],[18,16,414,402,284,405,410,419,353,10,385,4,2,310,261,216,32,29,27,31,30,387]),
% 0.74/0.81 ['proof']).
% 0.74/0.81 % SZS output end Proof
% 0.74/0.81 % Total time :0.140000s
%------------------------------------------------------------------------------