TSTP Solution File: GRP126-4.004 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP126-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 00:11:06 EDT 2023
% Result : Unsatisfiable 0.56s 0.75s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP126-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n007.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 02:05:28 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.56/0.74 %-------------------------------------------
% 0.56/0.74 % File :CSE---1.6
% 0.56/0.74 % Problem :theBenchmark
% 0.56/0.74 % Transform :cnf
% 0.56/0.74 % Format :tptp:raw
% 0.56/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.74
% 0.56/0.74 % Result :Theorem 0.120000s
% 0.56/0.74 % Output :CNFRefutation 0.120000s
% 0.56/0.74 %-------------------------------------------
% 0.56/0.74 %--------------------------------------------------------------------------
% 0.56/0.74 % File : GRP126-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.56/0.74 % Domain : Group Theory (Quasigroups)
% 0.56/0.74 % Problem : (a.b).(b.a) = b
% 0.56/0.74 % Version : [Sla93] axioms : Augmented.
% 0.56/0.74 % English : Generate the multiplication table for the specified quasi-
% 0.56/0.74 % group with 4 elements.
% 0.56/0.74
% 0.56/0.74 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 0.56/0.74 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 0.56/0.75 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 0.56/0.75 % Source : [TPTP]
% 0.56/0.75 % Names :
% 0.56/0.75
% 0.56/0.75 % Status : Unsatisfiable
% 0.56/0.75 % Rating : 0.00 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.00 v2.1.0
% 0.56/0.75 % Syntax : Number of clauses : 26 ( 17 unt; 3 nHn; 25 RR)
% 0.56/0.75 % Number of literals : 53 ( 0 equ; 30 neg)
% 0.56/0.75 % Maximal clause size : 6 ( 2 avg)
% 0.56/0.75 % Maximal term depth : 1 ( 1 avg)
% 0.56/0.75 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 0.56/0.75 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 0.56/0.75 % Number of variables : 31 ( 0 sgn)
% 0.56/0.75 % SPC : CNF_UNS_EPR_NEQ_NHN
% 0.56/0.75
% 0.56/0.75 % Comments : [SFS93]'s axiomatization has been modified for this.
% 0.56/0.75 % : Substitution axioms are not needed, as any positive equality
% 0.56/0.75 % literals should resolve on negative ones directly.
% 0.56/0.75 % : Version 4 has surjectivity and rotation
% 0.56/0.75 % : tptp2X: -f tptp -s4 GRP126-4.g
% 0.56/0.75 % Bugfixes : v1.2.1 - Clauses row_surjectivity and column_surjectivity fixed.
% 0.56/0.75 %--------------------------------------------------------------------------
% 0.56/0.75 cnf(row_surjectivity,axiom,
% 0.56/0.75 ( ~ group_element(X)
% 0.56/0.75 | ~ group_element(Y)
% 0.56/0.75 | product(e_1,X,Y)
% 0.56/0.75 | product(e_2,X,Y)
% 0.56/0.75 | product(e_3,X,Y)
% 0.56/0.75 | product(e_4,X,Y) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(column_surjectivity,axiom,
% 0.56/0.75 ( ~ group_element(X)
% 0.56/0.75 | ~ group_element(Y)
% 0.56/0.75 | product(X,e_1,Y)
% 0.56/0.75 | product(X,e_2,Y)
% 0.56/0.75 | product(X,e_3,Y)
% 0.56/0.75 | product(X,e_4,Y) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(qg4_1,negated_conjecture,
% 0.56/0.75 ( product(X,Y,Z1)
% 0.56/0.75 | ~ product(Z1,Z2,Y)
% 0.56/0.75 | ~ product(Y,X,Z2) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(qg4_2,negated_conjecture,
% 0.56/0.75 ( product(Y,X,Z2)
% 0.56/0.75 | ~ product(Z1,Z2,Y)
% 0.56/0.75 | ~ product(X,Y,Z1) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(element_1,axiom,
% 0.56/0.75 group_element(e_1) ).
% 0.56/0.75
% 0.56/0.75 cnf(element_2,axiom,
% 0.56/0.75 group_element(e_2) ).
% 0.56/0.75
% 0.56/0.75 cnf(element_3,axiom,
% 0.56/0.75 group_element(e_3) ).
% 0.56/0.75
% 0.56/0.75 cnf(element_4,axiom,
% 0.56/0.75 group_element(e_4) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_1_is_not_e_2,axiom,
% 0.56/0.75 ~ equalish(e_1,e_2) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_1_is_not_e_3,axiom,
% 0.56/0.75 ~ equalish(e_1,e_3) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_1_is_not_e_4,axiom,
% 0.56/0.75 ~ equalish(e_1,e_4) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_2_is_not_e_1,axiom,
% 0.56/0.75 ~ equalish(e_2,e_1) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_2_is_not_e_3,axiom,
% 0.56/0.75 ~ equalish(e_2,e_3) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_2_is_not_e_4,axiom,
% 0.56/0.75 ~ equalish(e_2,e_4) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_3_is_not_e_1,axiom,
% 0.56/0.75 ~ equalish(e_3,e_1) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_3_is_not_e_2,axiom,
% 0.56/0.75 ~ equalish(e_3,e_2) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_3_is_not_e_4,axiom,
% 0.56/0.75 ~ equalish(e_3,e_4) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_4_is_not_e_1,axiom,
% 0.56/0.75 ~ equalish(e_4,e_1) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_4_is_not_e_2,axiom,
% 0.56/0.75 ~ equalish(e_4,e_2) ).
% 0.56/0.75
% 0.56/0.75 cnf(e_4_is_not_e_3,axiom,
% 0.56/0.75 ~ equalish(e_4,e_3) ).
% 0.56/0.75
% 0.56/0.75 cnf(product_total_function1,axiom,
% 0.56/0.75 ( ~ group_element(X)
% 0.56/0.75 | ~ group_element(Y)
% 0.56/0.75 | product(X,Y,e_1)
% 0.56/0.75 | product(X,Y,e_2)
% 0.56/0.75 | product(X,Y,e_3)
% 0.56/0.75 | product(X,Y,e_4) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(product_total_function2,axiom,
% 0.56/0.75 ( ~ product(X,Y,W)
% 0.56/0.75 | ~ product(X,Y,Z)
% 0.56/0.75 | equalish(W,Z) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(product_right_cancellation,axiom,
% 0.56/0.75 ( ~ product(X,W,Y)
% 0.56/0.75 | ~ product(X,Z,Y)
% 0.56/0.75 | equalish(W,Z) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(product_left_cancellation,axiom,
% 0.56/0.75 ( ~ product(W,Y,X)
% 0.56/0.75 | ~ product(Z,Y,X)
% 0.56/0.75 | equalish(W,Z) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(product_idempotence,axiom,
% 0.56/0.75 product(X,X,X) ).
% 0.56/0.75
% 0.56/0.75 cnf(qg4,negated_conjecture,
% 0.56/0.75 ( ~ product(X,Y,Z1)
% 0.56/0.75 | ~ product(Y,X,Z2)
% 0.56/0.75 | product(Z1,Z2,Y) ) ).
% 0.56/0.75
% 0.56/0.75 %--------------------------------------------------------------------------
% 0.56/0.75 %-------------------------------------------
% 0.56/0.75 % Proof found
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof
% 0.56/0.75 %ClaNum:26(EqnAxiom:0)
% 0.56/0.75 %VarNum:84(SingletonVarNum:31)
% 0.56/0.75 %MaxLitNum:6
% 0.56/0.75 %MaxfuncDepth:0
% 0.56/0.75 %SharedTerms:20
% 0.56/0.75 %goalClause: 21 22 23
% 0.56/0.75 [1]P1(a1)
% 0.56/0.75 [2]P1(a2)
% 0.56/0.75 [3]P1(a3)
% 0.56/0.75 [4]P1(a4)
% 0.56/0.75 [6]~P2(a1,a2)
% 0.56/0.75 [7]~P2(a1,a3)
% 0.56/0.75 [8]~P2(a1,a4)
% 0.56/0.75 [9]~P2(a2,a1)
% 0.56/0.75 [10]~P2(a2,a3)
% 0.56/0.75 [11]~P2(a2,a4)
% 0.56/0.75 [12]~P2(a3,a1)
% 0.56/0.75 [13]~P2(a3,a2)
% 0.56/0.75 [14]~P2(a3,a4)
% 0.56/0.75 [15]~P2(a4,a1)
% 0.56/0.75 [16]~P2(a4,a2)
% 0.56/0.75 [17]~P2(a4,a3)
% 0.56/0.75 [5]P3(x51,x51,x51)
% 0.56/0.75 [18]~P3(x183,x184,x181)+P2(x181,x182)+~P3(x183,x184,x182)
% 0.56/0.75 [19]~P3(x193,x191,x194)+P2(x191,x192)+~P3(x193,x192,x194)
% 0.56/0.75 [20]~P3(x201,x203,x204)+P2(x201,x202)+~P3(x202,x203,x204)
% 0.56/0.75 [21]~P3(x214,x213,x211)+P3(x211,x212,x213)+~P3(x213,x214,x212)
% 0.56/0.75 [22]~P3(x222,x221,x224)+P3(x221,x222,x223)+~P3(x224,x223,x221)
% 0.56/0.75 [23]~P3(x232,x231,x234)+P3(x231,x232,x233)+~P3(x233,x234,x232)
% 0.56/0.75 [24]~P1(x242)+~P1(x241)+P3(x241,x242,a2)+P3(x241,x242,a3)+P3(x241,x242,a4)+P3(x241,x242,a1)
% 0.56/0.75 [25]~P1(x252)+~P1(x251)+P3(x251,a2,x252)+P3(x251,a3,x252)+P3(x251,a4,x252)+P3(x251,a1,x252)
% 0.56/0.75 [26]~P1(x262)+~P1(x261)+P3(a2,x261,x262)+P3(a3,x261,x262)+P3(a4,x261,x262)+P3(a1,x261,x262)
% 0.56/0.75 %EqnAxiom
% 0.56/0.75
% 0.56/0.75 %-------------------------------------------
% 0.56/0.75 cnf(28,plain,
% 0.56/0.75 (~P3(a1,a2,a1)),
% 0.56/0.75 inference(scs_inference,[],[5,6,20,19])).
% 0.56/0.75 cnf(29,plain,
% 0.56/0.75 (P3(x291,x291,x291)),
% 0.56/0.75 inference(rename_variables,[],[5])).
% 0.56/0.75 cnf(31,plain,
% 0.56/0.75 (~P3(a1,a1,a2)),
% 0.56/0.75 inference(scs_inference,[],[5,29,6,20,19,18])).
% 0.56/0.75 cnf(32,plain,
% 0.56/0.75 (P3(x321,x321,x321)),
% 0.56/0.75 inference(rename_variables,[],[5])).
% 0.56/0.75 cnf(34,plain,
% 0.56/0.75 (~P3(a1,x341,a2)+~P3(a2,a1,x341)),
% 0.56/0.75 inference(scs_inference,[],[5,29,6,20,19,18,23])).
% 0.56/0.75 cnf(36,plain,
% 0.56/0.75 (~P3(a2,a1,a1)),
% 0.56/0.75 inference(scs_inference,[],[5,29,32,6,20,19,18,23,22])).
% 0.56/0.75 cnf(41,plain,
% 0.56/0.75 (~P3(a2,a1,a4)+P3(a1,a3,a2)+P3(a1,a2,a2)),
% 0.56/0.75 inference(scs_inference,[],[1,5,29,32,2,6,20,19,18,23,22,21,25])).
% 0.56/0.75 cnf(43,plain,
% 0.56/0.75 (~P3(a3,a1,a1)),
% 0.56/0.75 inference(scs_inference,[],[7,5,20])).
% 0.56/0.75 cnf(44,plain,
% 0.56/0.75 (P3(x441,x441,x441)),
% 0.56/0.75 inference(rename_variables,[],[5])).
% 0.56/0.75 cnf(46,plain,
% 0.56/0.75 (~P3(a3,a3,a1)),
% 0.56/0.75 inference(scs_inference,[],[7,5,44,20,18])).
% 0.56/0.75 cnf(47,plain,
% 0.56/0.75 (P3(x471,x471,x471)),
% 0.56/0.75 inference(rename_variables,[],[5])).
% 0.56/0.75 cnf(49,plain,
% 0.56/0.75 (~P3(a3,a1,a3)),
% 0.56/0.75 inference(scs_inference,[],[7,5,44,47,20,18,19])).
% 0.56/0.75 cnf(54,plain,
% 0.56/0.75 (P3(a1,a2,a4)+P3(a1,a2,a2)+P3(a1,a2,a3)),
% 0.56/0.75 inference(scs_inference,[],[1,7,2,5,44,47,31,28,20,18,19,26,24])).
% 0.56/0.75 cnf(56,plain,
% 0.56/0.75 (P3(a1,a3,a2)+P3(a1,a4,a2)+P3(a1,a2,a2)),
% 0.56/0.75 inference(scs_inference,[],[1,7,2,5,44,47,31,28,20,18,19,26,24,25])).
% 0.56/0.75 cnf(58,plain,
% 0.56/0.75 (~P3(a2,x581,a1)+P3(x581,a2,a4)+P3(a3,a1,a2)+P3(a2,a1,a2)),
% 0.56/0.75 inference(scs_inference,[],[1,7,2,5,44,47,31,28,20,18,19,26,24,25,23])).
% 0.56/0.75 cnf(62,plain,
% 0.56/0.75 (~P3(a1,a4,a4)),
% 0.56/0.75 inference(scs_inference,[],[8,5,20])).
% 0.56/0.75 cnf(63,plain,
% 0.56/0.75 (P3(x631,x631,x631)),
% 0.56/0.75 inference(rename_variables,[],[5])).
% 0.56/0.75 cnf(66,plain,
% 0.56/0.75 (P3(x661,x661,x661)),
% 0.56/0.75 inference(rename_variables,[],[5])).
% 0.56/0.75 cnf(70,plain,
% 0.56/0.75 (P3(a3,a2,a1)+P3(a3,a4,a1)),
% 0.56/0.75 inference(scs_inference,[],[3,8,5,63,66,43,46,1,20,23,18,25])).
% 0.56/0.75 cnf(72,plain,
% 0.56/0.75 (~P3(a2,a3,a1)+P3(a3,a4,a1)),
% 0.56/0.75 inference(scs_inference,[],[3,8,5,63,66,43,46,31,1,20,23,18,25,21])).
% 0.56/0.75 cnf(74,plain,
% 0.56/0.75 (P3(a4,a3,a1)+P3(a3,a4,a1)+P3(a1,a3,a1)),
% 0.56/0.75 inference(scs_inference,[],[3,8,5,63,66,43,46,31,1,20,23,18,25,21,26])).
% 0.56/0.75 cnf(76,plain,
% 0.56/0.75 (P3(a3,a1,a2)+P3(a3,a4,a1)+P3(a3,a1,a4)),
% 0.56/0.75 inference(scs_inference,[],[3,8,5,63,66,43,46,49,31,1,20,23,18,25,21,26,24])).
% 0.56/0.75 cnf(82,plain,
% 0.56/0.75 (~P3(a4,a1,a4)),
% 0.56/0.75 inference(scs_inference,[],[5,62,20,23])).
% 0.56/0.75 cnf(83,plain,
% 0.56/0.75 (P3(x831,x831,x831)),
% 0.56/0.75 inference(rename_variables,[],[5])).
% 0.56/0.75 cnf(86,plain,
% 0.56/0.76 (P3(x861,x861,x861)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(88,plain,
% 0.56/0.76 (~P3(a2,a2,a1)),
% 0.56/0.76 inference(scs_inference,[],[9,5,83,86,62,20,23,21,18])).
% 0.56/0.76 cnf(91,plain,
% 0.56/0.76 (~P3(x911,a4,a1)+~P3(a4,a1,x911)),
% 0.56/0.76 inference(scs_inference,[],[9,5,83,86,62,20,23,21,18,22])).
% 0.56/0.76 cnf(94,plain,
% 0.56/0.76 (~P3(a4,a1,a3)+P3(a1,a3,a1)+P3(a4,a3,a1)),
% 0.56/0.76 inference(scs_inference,[],[9,5,83,86,62,20,23,21,18,22,76,74])).
% 0.56/0.76 cnf(99,plain,
% 0.56/0.76 (~P3(a3,a2,a2)),
% 0.56/0.76 inference(scs_inference,[],[10,5,20])).
% 0.56/0.76 cnf(100,plain,
% 0.56/0.76 (P3(x1001,x1001,x1001)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(104,plain,
% 0.56/0.76 (~P3(a3,a3,a2)),
% 0.56/0.76 inference(scs_inference,[],[10,5,100,20,19,18])).
% 0.56/0.76 cnf(120,plain,
% 0.56/0.76 (~P3(a2,a4,a4)),
% 0.56/0.76 inference(scs_inference,[],[11,5,20])).
% 0.56/0.76 cnf(121,plain,
% 0.56/0.76 (P3(x1211,x1211,x1211)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(123,plain,
% 0.56/0.76 (~P3(a2,a4,a2)),
% 0.56/0.76 inference(scs_inference,[],[11,5,121,20,19])).
% 0.56/0.76 cnf(124,plain,
% 0.56/0.76 (P3(x1241,x1241,x1241)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(126,plain,
% 0.56/0.76 (~P3(a2,a3,a2)),
% 0.56/0.76 inference(scs_inference,[],[11,5,121,124,99,20,19,23])).
% 0.56/0.76 cnf(127,plain,
% 0.56/0.76 (P3(x1271,x1271,x1271)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(137,plain,
% 0.56/0.76 (~P3(a4,a2,x1371)+P3(a3,x1371,a4)+P3(a2,a4,a1)),
% 0.56/0.76 inference(scs_inference,[],[11,4,5,121,124,127,99,82,62,2,1,20,19,23,18,24,26,25,21])).
% 0.56/0.76 cnf(143,plain,
% 0.56/0.76 (~P3(a1,a3,a1)),
% 0.56/0.76 inference(scs_inference,[],[12,5,20,19])).
% 0.56/0.76 cnf(144,plain,
% 0.56/0.76 (P3(x1441,x1441,x1441)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(146,plain,
% 0.56/0.76 (~P3(a4,a4,a2)),
% 0.56/0.76 inference(scs_inference,[],[12,5,144,120,20,19,21])).
% 0.56/0.76 cnf(147,plain,
% 0.56/0.76 (P3(x1471,x1471,x1471)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(149,plain,
% 0.56/0.76 (~P3(a3,a2,a3)),
% 0.56/0.76 inference(scs_inference,[],[12,5,144,147,104,120,20,19,21,22])).
% 0.56/0.76 cnf(150,plain,
% 0.56/0.76 (P3(x1501,x1501,x1501)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(152,plain,
% 0.56/0.76 (~P3(a2,a3,a3)),
% 0.56/0.76 inference(scs_inference,[],[12,5,144,147,150,104,120,20,19,21,22,23])).
% 0.56/0.76 cnf(153,plain,
% 0.56/0.76 (P3(x1531,x1531,x1531)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(156,plain,
% 0.56/0.76 (~P3(a1,a1,a3)),
% 0.56/0.76 inference(scs_inference,[],[12,5,144,147,150,153,104,120,20,19,21,22,23,94,18])).
% 0.56/0.76 cnf(159,plain,
% 0.56/0.76 (P3(a2,a3,a1)+P3(a2,a3,a4)),
% 0.56/0.76 inference(scs_inference,[],[12,5,144,147,150,153,104,120,126,3,2,20,19,21,22,23,94,18,24])).
% 0.56/0.76 cnf(163,plain,
% 0.56/0.76 (P3(a2,a3,a4)+P3(a2,a1,a4)+P3(a2,a2,a4)),
% 0.56/0.76 inference(scs_inference,[],[4,12,28,5,144,147,150,153,104,120,126,88,3,2,1,20,19,21,22,23,94,18,24,26,25])).
% 0.56/0.76 cnf(169,plain,
% 0.56/0.76 (~P3(a4,a3,a3)),
% 0.56/0.76 inference(scs_inference,[],[14,5,19,20])).
% 0.56/0.76 cnf(183,plain,
% 0.56/0.76 (~P3(a2,a1,a4)+P3(a4,a1,a3)),
% 0.56/0.76 inference(scs_inference,[],[14,5,156,126,49,3,1,19,20,26,21,23,70,34,56,54,41])).
% 0.56/0.76 cnf(192,plain,
% 0.56/0.76 (~P3(a4,a2,a4)),
% 0.56/0.76 inference(scs_inference,[],[5,16,146,123,4,2,20,26,19])).
% 0.56/0.76 cnf(195,plain,
% 0.56/0.76 (~P3(a4,a2,a1)+P3(a3,a4,a2)),
% 0.56/0.76 inference(scs_inference,[],[5,16,146,123,82,4,2,20,26,19,23])).
% 0.56/0.76 cnf(199,plain,
% 0.56/0.76 (P3(a3,a4,a2)+~P3(a2,a1,a4)),
% 0.56/0.76 inference(scs_inference,[],[5,16,146,123,82,4,2,20,26,19,23,58,34])).
% 0.56/0.76 cnf(201,plain,
% 0.56/0.76 (P3(a3,a1,a2)+P3(a3,a4,a2)),
% 0.56/0.76 inference(scs_inference,[],[5,16,146,123,99,82,104,4,3,2,20,26,19,23,58,34,25])).
% 0.56/0.76 cnf(206,plain,
% 0.56/0.76 (~P3(a3,a4,a3)),
% 0.56/0.76 inference(scs_inference,[],[5,169,18,23])).
% 0.56/0.76 cnf(207,plain,
% 0.56/0.76 (P3(x2071,x2071,x2071)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(211,plain,
% 0.56/0.76 (~P3(a4,a1,a1)),
% 0.56/0.76 inference(scs_inference,[],[5,207,15,169,149,99,3,2,18,23,24,20])).
% 0.56/0.76 cnf(219,plain,
% 0.56/0.76 (P3(a1,a2,a2)+~P3(a2,a1,a4)+P3(a3,a2,a4)),
% 0.56/0.76 inference(scs_inference,[],[5,207,15,31,169,149,152,99,3,2,18,23,24,20,21,22,56,41])).
% 0.56/0.76 cnf(226,plain,
% 0.56/0.76 (P3(x2261,x2261,x2261)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(228,plain,
% 0.56/0.76 (~P3(a4,a2,a2)),
% 0.56/0.76 inference(scs_inference,[],[206,123,5,226,20,21,22])).
% 0.56/0.76 cnf(233,plain,
% 0.56/0.76 (~P3(a3,a4,a2)+P3(a3,a4,a4)+P3(a3,a4,a2)),
% 0.56/0.76 inference(scs_inference,[],[6,206,123,4,3,5,226,20,21,22,24,18])).
% 0.56/0.76 cnf(237,plain,
% 0.56/0.76 (~P3(a2,a2,a3)),
% 0.56/0.76 inference(scs_inference,[],[13,5,19,18])).
% 0.56/0.76 cnf(246,plain,
% 0.56/0.76 (~P3(a1,a4,a2)+P3(a2,a1,a2)+P3(a2,a1,a3)),
% 0.56/0.76 inference(scs_inference,[],[13,9,36,211,146,2,1,5,19,18,24,20,21,22])).
% 0.56/0.76 cnf(248,plain,
% 0.56/0.76 (~P3(a3,a4,a4)),
% 0.56/0.76 inference(scs_inference,[],[14,5,20])).
% 0.56/0.76 cnf(249,plain,
% 0.56/0.76 (P3(x2491,x2491,x2491)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(258,plain,
% 0.56/0.76 (~P3(a2,a3,a4)+~P3(a3,a4,a2)),
% 0.56/0.76 inference(scs_inference,[],[14,237,169,120,5,249,20,18,233,23,21,22])).
% 0.56/0.76 cnf(262,plain,
% 0.56/0.76 (P3(a4,a2,a3)+~P3(a3,a4,a2)+P3(a4,a2,a1)),
% 0.56/0.76 inference(scs_inference,[],[14,46,192,237,143,228,169,120,4,3,2,1,5,249,20,18,233,23,21,22,26,24])).
% 0.56/0.76 cnf(268,plain,
% 0.56/0.76 (P3(x2681,x2681,x2681)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(272,plain,
% 0.56/0.76 (~P3(a4,a4,a3)),
% 0.56/0.76 inference(scs_inference,[],[15,248,5,268,19,20,21])).
% 0.56/0.76 cnf(273,plain,
% 0.56/0.76 (P3(x2731,x2731,x2731)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(275,plain,
% 0.56/0.76 (~P3(a2,a1,a2)),
% 0.56/0.76 inference(scs_inference,[],[15,248,88,5,268,273,19,20,21,22])).
% 0.56/0.76 cnf(301,plain,
% 0.56/0.76 (P3(a2,a1,a3)+~P3(a1,a4,a2)),
% 0.56/0.76 inference(scs_inference,[],[275,246])).
% 0.56/0.76 cnf(319,plain,
% 0.56/0.76 (P3(x3191,x3191,x3191)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(321,plain,
% 0.56/0.76 (~P3(a2,a2,a4)),
% 0.56/0.76 inference(scs_inference,[],[16,6,5,319,20,18])).
% 0.56/0.76 cnf(322,plain,
% 0.56/0.76 (P3(x3221,x3221,x3221)),
% 0.56/0.76 inference(rename_variables,[],[5])).
% 0.56/0.76 cnf(324,plain,
% 0.56/0.76 (~P3(a4,a3,a4)),
% 0.56/0.76 inference(scs_inference,[],[16,248,6,5,319,322,20,18,23])).
% 0.56/0.76 cnf(327,plain,
% 0.56/0.76 (P3(a3,a2,a4)+~P3(a2,a1,a4)),
% 0.56/0.76 inference(scs_inference,[],[16,248,6,5,319,322,20,18,23,219])).
% 0.56/0.76 cnf(332,plain,
% 0.56/0.76 (P3(a2,a3,a1)+~P3(a2,a1,a4)),
% 0.56/0.76 inference(scs_inference,[],[16,272,248,228,6,5,319,322,20,18,23,219,22,21,159])).
% 0.56/0.76 cnf(337,plain,
% 0.56/0.76 (P3(a1,a3,a2)+~P3(a2,a1,a4)),
% 0.56/0.76 inference(scs_inference,[],[16,272,248,228,6,5,319,322,20,18,23,219,22,21,159,72,163,54,56,41])).
% 0.56/0.76 cnf(342,plain,
% 0.56/0.76 (P3(a2,a1,a4)+P3(a2,a3,a4)),
% 0.56/0.76 inference(scs_inference,[],[321,163])).
% 0.56/0.76 cnf(360,plain,
% 0.56/0.76 (P3(a4,a1,a3)),
% 0.56/0.76 inference(scs_inference,[],[324,272,169,99,4,3,5,20,25,23,22,342,337,332,327,201,199,195,183])).
% 0.56/0.76 cnf(378,plain,
% 0.56/0.76 (~P3(a2,a3,a4)),
% 0.56/0.76 inference(scs_inference,[],[9,360,206,248,4,3,91,70,24,19,18,22,301,258])).
% 0.56/0.76 cnf(382,plain,
% 0.56/0.76 (~P3(a2,a3,a1)),
% 0.56/0.76 inference(scs_inference,[],[9,360,206,248,4,3,91,70,24,19,18,22,301,258,262,137,72])).
% 0.56/0.76 cnf(398,plain,
% 0.56/0.76 ($false),
% 0.56/0.76 inference(scs_inference,[],[382,378,159]),
% 0.56/0.76 ['proof']).
% 0.56/0.76 % SZS output end Proof
% 0.56/0.76 % Total time :0.120000s
%------------------------------------------------------------------------------