TSTP Solution File: GRP124-4.004 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP124-4.004 : 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 : n025.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 00:11:02 EDT 2023
% Result : Unsatisfiable 0.19s 0.87s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP124-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 01:30:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.86 %-------------------------------------------
% 0.19/0.86 % File :CSE---1.6
% 0.19/0.86 % Problem :theBenchmark
% 0.19/0.86 % Transform :cnf
% 0.19/0.86 % Format :tptp:raw
% 0.19/0.86 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.86
% 0.19/0.86 % Result :Theorem 0.260000s
% 0.19/0.86 % Output :CNFRefutation 0.260000s
% 0.19/0.86 %-------------------------------------------
% 0.19/0.87 %--------------------------------------------------------------------------
% 0.19/0.87 % File : GRP124-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.19/0.87 % Domain : Group Theory (Quasigroups)
% 0.19/0.87 % Problem : (3,1,2) conjugate orthogonality
% 0.19/0.87 % Version : [Sla93] axioms : Augmented.
% 0.19/0.87 % English : If ab=xy and a*b = x*y then a=x and b=y, where c*a=b iff ab=c.
% 0.19/0.87 % Generate the multiplication table for the specified quasi-
% 0.19/0.87 % group with 4 elements.
% 0.19/0.87
% 0.19/0.87 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 0.19/0.87 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 0.19/0.87 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 0.19/0.87 % Source : [TPTP]
% 0.19/0.87 % Names :
% 0.19/0.87
% 0.19/0.87 % Status : Unsatisfiable
% 0.19/0.87 % Rating : 0.00 v2.1.0
% 0.19/0.87 % Syntax : Number of clauses : 25 ( 17 unt; 3 nHn; 24 RR)
% 0.19/0.87 % Number of literals : 54 ( 0 equ; 32 neg)
% 0.19/0.87 % Maximal clause size : 6 ( 2 avg)
% 0.19/0.87 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.87 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 0.19/0.87 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 0.19/0.87 % Number of variables : 31 ( 0 sgn)
% 0.19/0.87 % SPC : CNF_UNS_EPR_NEQ_NHN
% 0.19/0.87
% 0.19/0.87 % Comments : [SFS93]'s axiomatization has been modified for this.
% 0.19/0.87 % : Substitution axioms are not needed, as any positive equality
% 0.19/0.87 % literals should resolve on negative ones directly.
% 0.19/0.87 % : As in GRP123-1, either one of qg2_1 or qg2_2 may be used, as
% 0.19/0.87 % each implies the other in this scenario, with the help of
% 0.19/0.87 % cancellation. The dependence cannot be proved, so both have
% 0.19/0.87 % been left in here.
% 0.19/0.87 % : Version 4 has surjectivity and rotation
% 0.19/0.87 % : tptp2X: -f tptp -s4 GRP124-4.g
% 0.19/0.87 % Bugfixes : v1.2.1 - Clauses row_surjectivity and column_surjectivity fixed.
% 0.19/0.87 %--------------------------------------------------------------------------
% 0.19/0.87 cnf(row_surjectivity,axiom,
% 0.19/0.87 ( ~ group_element(X)
% 0.19/0.87 | ~ group_element(Y)
% 0.19/0.87 | product(e_1,X,Y)
% 0.19/0.87 | product(e_2,X,Y)
% 0.19/0.87 | product(e_3,X,Y)
% 0.19/0.87 | product(e_4,X,Y) ) ).
% 0.19/0.87
% 0.19/0.87 cnf(column_surjectivity,axiom,
% 0.19/0.87 ( ~ group_element(X)
% 0.19/0.87 | ~ group_element(Y)
% 0.19/0.87 | product(X,e_1,Y)
% 0.19/0.87 | product(X,e_2,Y)
% 0.19/0.87 | product(X,e_3,Y)
% 0.19/0.87 | product(X,e_4,Y) ) ).
% 0.19/0.87
% 0.19/0.87 cnf(element_1,axiom,
% 0.19/0.87 group_element(e_1) ).
% 0.19/0.87
% 0.19/0.87 cnf(element_2,axiom,
% 0.19/0.87 group_element(e_2) ).
% 0.19/0.87
% 0.19/0.87 cnf(element_3,axiom,
% 0.19/0.87 group_element(e_3) ).
% 0.19/0.87
% 0.19/0.87 cnf(element_4,axiom,
% 0.19/0.87 group_element(e_4) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_1_is_not_e_2,axiom,
% 0.19/0.87 ~ equalish(e_1,e_2) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_1_is_not_e_3,axiom,
% 0.19/0.87 ~ equalish(e_1,e_3) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_1_is_not_e_4,axiom,
% 0.19/0.87 ~ equalish(e_1,e_4) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_2_is_not_e_1,axiom,
% 0.19/0.87 ~ equalish(e_2,e_1) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_2_is_not_e_3,axiom,
% 0.19/0.87 ~ equalish(e_2,e_3) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_2_is_not_e_4,axiom,
% 0.19/0.87 ~ equalish(e_2,e_4) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_3_is_not_e_1,axiom,
% 0.19/0.87 ~ equalish(e_3,e_1) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_3_is_not_e_2,axiom,
% 0.19/0.87 ~ equalish(e_3,e_2) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_3_is_not_e_4,axiom,
% 0.19/0.87 ~ equalish(e_3,e_4) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_4_is_not_e_1,axiom,
% 0.19/0.87 ~ equalish(e_4,e_1) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_4_is_not_e_2,axiom,
% 0.19/0.87 ~ equalish(e_4,e_2) ).
% 0.19/0.87
% 0.19/0.87 cnf(e_4_is_not_e_3,axiom,
% 0.19/0.87 ~ equalish(e_4,e_3) ).
% 0.19/0.87
% 0.19/0.87 cnf(product_total_function1,axiom,
% 0.19/0.87 ( ~ group_element(X)
% 0.19/0.87 | ~ group_element(Y)
% 0.19/0.87 | product(X,Y,e_1)
% 0.19/0.87 | product(X,Y,e_2)
% 0.19/0.87 | product(X,Y,e_3)
% 0.19/0.87 | product(X,Y,e_4) ) ).
% 0.19/0.87
% 0.19/0.87 cnf(product_total_function2,axiom,
% 0.19/0.87 ( ~ product(X,Y,W)
% 0.19/0.87 | ~ product(X,Y,Z)
% 0.19/0.87 | equalish(W,Z) ) ).
% 0.19/0.87
% 0.19/0.87 cnf(product_right_cancellation,axiom,
% 0.19/0.87 ( ~ product(X,W,Y)
% 0.19/0.87 | ~ product(X,Z,Y)
% 0.19/0.87 | equalish(W,Z) ) ).
% 0.19/0.87
% 0.19/0.87 cnf(product_left_cancellation,axiom,
% 0.19/0.87 ( ~ product(W,Y,X)
% 0.19/0.87 | ~ product(Z,Y,X)
% 0.19/0.87 | equalish(W,Z) ) ).
% 0.19/0.87
% 0.19/0.87 cnf(product_idempotence,axiom,
% 0.19/0.87 product(X,X,X) ).
% 0.19/0.87
% 0.19/0.87 cnf(qg2_1,negated_conjecture,
% 0.19/0.87 ( ~ product(X1,Y1,Z1)
% 0.19/0.87 | ~ product(X2,Y2,Z1)
% 0.19/0.87 | ~ product(Z2,X1,Y1)
% 0.19/0.87 | ~ product(Z2,X2,Y2)
% 0.19/0.87 | equalish(X1,X2) ) ).
% 0.19/0.87
% 0.19/0.87 cnf(qg2_2,negated_conjecture,
% 0.19/0.87 ( ~ product(X1,Y1,Z1)
% 0.19/0.87 | ~ product(X2,Y2,Z1)
% 0.19/0.87 | ~ product(Z2,X1,Y1)
% 0.19/0.87 | ~ product(Z2,X2,Y2)
% 0.19/0.87 | equalish(Y1,Y2) ) ).
% 0.19/0.87
% 0.19/0.87 %--------------------------------------------------------------------------
% 0.19/0.87 %-------------------------------------------
% 0.19/0.87 % Proof found
% 0.19/0.87 % SZS status Theorem for theBenchmark
% 0.19/0.87 % SZS output start Proof
% 0.19/0.87 %ClaNum:25(EqnAxiom:0)
% 0.19/0.87 %VarNum:85(SingletonVarNum:31)
% 0.19/0.87 %MaxLitNum:6
% 0.19/0.87 %MaxfuncDepth:0
% 0.19/0.87 %SharedTerms:20
% 0.19/0.87 %goalClause: 24 25
% 0.19/0.87 [1]P1(a1)
% 0.19/0.87 [2]P1(a2)
% 0.19/0.87 [3]P1(a3)
% 0.19/0.87 [4]P1(a4)
% 0.19/0.87 [6]~P2(a1,a2)
% 0.19/0.87 [7]~P2(a1,a3)
% 0.19/0.87 [8]~P2(a1,a4)
% 0.19/0.87 [9]~P2(a2,a1)
% 0.19/0.87 [10]~P2(a2,a3)
% 0.19/0.87 [11]~P2(a2,a4)
% 0.19/0.87 [12]~P2(a3,a1)
% 0.19/0.87 [13]~P2(a3,a2)
% 0.19/0.87 [14]~P2(a3,a4)
% 0.19/0.87 [15]~P2(a4,a1)
% 0.19/0.87 [16]~P2(a4,a2)
% 0.19/0.87 [17]~P2(a4,a3)
% 0.19/0.87 [5]P3(x51,x51,x51)
% 0.19/0.87 [18]~P3(x183,x184,x181)+P2(x181,x182)+~P3(x183,x184,x182)
% 0.19/0.87 [19]~P3(x193,x191,x194)+P2(x191,x192)+~P3(x193,x192,x194)
% 0.19/0.87 [20]~P3(x201,x203,x204)+P2(x201,x202)+~P3(x202,x203,x204)
% 0.19/0.87 [24]~P3(x245,x241,x246)+P2(x241,x242)+~P3(x243,x244,x242)+~P3(x243,x245,x241)+~P3(x244,x242,x246)
% 0.19/0.87 [25]~P3(x251,x255,x256)+P2(x251,x252)+~P3(x253,x252,x254)+~P3(x253,x251,x255)+~P3(x252,x254,x256)
% 0.19/0.87 [21]~P1(x212)+~P1(x211)+P3(x211,x212,a2)+P3(x211,x212,a3)+P3(x211,x212,a4)+P3(x211,x212,a1)
% 0.19/0.87 [22]~P1(x222)+~P1(x221)+P3(x221,a2,x222)+P3(x221,a3,x222)+P3(x221,a4,x222)+P3(x221,a1,x222)
% 0.19/0.87 [23]~P1(x232)+~P1(x231)+P3(a2,x231,x232)+P3(a3,x231,x232)+P3(a4,x231,x232)+P3(a1,x231,x232)
% 0.19/0.87 %EqnAxiom
% 0.19/0.87
% 0.19/0.87 %-------------------------------------------
% 0.19/0.87 cnf(27,plain,
% 0.19/0.87 (~P3(a1,a2,a1)),
% 0.19/0.87 inference(scs_inference,[],[5,6,20,19])).
% 0.19/0.88 cnf(28,plain,
% 0.19/0.88 (P3(x281,x281,x281)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(30,plain,
% 0.19/0.88 (~P3(a1,a1,a2)),
% 0.19/0.88 inference(scs_inference,[],[5,28,6,20,19,18])).
% 0.19/0.88 cnf(31,plain,
% 0.19/0.88 (P3(x311,x311,x311)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(34,plain,
% 0.19/0.88 (P3(x341,x341,x341)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(36,plain,
% 0.19/0.88 (~P3(x361,a2,a1)+~P3(a1,x361,a2)),
% 0.19/0.88 inference(scs_inference,[],[5,28,31,34,6,20,19,18,25,24])).
% 0.19/0.88 cnf(39,plain,
% 0.19/0.88 (~P3(a2,a2,a1)+~P3(a4,a2,a1)+P3(a1,a3,a2)),
% 0.19/0.88 inference(scs_inference,[],[1,5,28,31,34,2,6,20,19,18,25,24,22])).
% 0.19/0.88 cnf(41,plain,
% 0.19/0.88 (~P3(a3,a1,a1)),
% 0.19/0.88 inference(scs_inference,[],[7,5,20])).
% 0.19/0.88 cnf(42,plain,
% 0.19/0.88 (P3(x421,x421,x421)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(44,plain,
% 0.19/0.88 (~P3(a3,a1,a3)),
% 0.19/0.88 inference(scs_inference,[],[7,5,42,20,19])).
% 0.19/0.88 cnf(45,plain,
% 0.19/0.88 (P3(x451,x451,x451)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(47,plain,
% 0.19/0.88 (~P3(a3,a3,a1)),
% 0.19/0.88 inference(scs_inference,[],[7,5,42,45,20,19,18])).
% 0.19/0.88 cnf(48,plain,
% 0.19/0.88 (P3(x481,x481,x481)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(52,plain,
% 0.19/0.88 (P3(a4,a1,a2)+P3(a3,a1,a2)+P3(a2,a1,a2)),
% 0.19/0.88 inference(scs_inference,[],[1,7,2,5,42,45,48,30,20,19,18,24,23])).
% 0.19/0.88 cnf(56,plain,
% 0.19/0.88 (P3(a1,a3,a2)+P3(a1,a4,a2)+P3(a1,a2,a2)),
% 0.19/0.88 inference(scs_inference,[],[1,7,2,5,42,45,48,27,30,20,19,18,24,23,21,22])).
% 0.19/0.88 cnf(60,plain,
% 0.19/0.88 (~P3(a2,a1,a1)),
% 0.19/0.88 inference(scs_inference,[],[9,5,20])).
% 0.19/0.88 cnf(61,plain,
% 0.19/0.88 (P3(x611,x611,x611)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(65,plain,
% 0.19/0.88 (P3(a3,a2,a1)+P3(a3,a4,a1)),
% 0.19/0.88 inference(scs_inference,[],[3,9,5,61,41,47,1,20,24,22])).
% 0.19/0.88 cnf(67,plain,
% 0.19/0.88 (P3(a3,a4,a1)+~P3(a1,a3,a2)),
% 0.19/0.88 inference(scs_inference,[],[3,9,5,61,41,47,1,20,24,22,36])).
% 0.19/0.88 cnf(75,plain,
% 0.19/0.88 (~P3(a2,a3,a1)+P3(a3,a4,a1)+P3(a3,a1,a4)),
% 0.19/0.88 inference(scs_inference,[],[3,9,10,5,61,41,44,47,1,20,24,22,36,56,39,23,21,25])).
% 0.19/0.88 cnf(85,plain,
% 0.19/0.88 (~P3(a2,a4,a2)+P3(a4,a2,a4)+P3(a1,a2,a4)+P3(a3,a2,a4)),
% 0.19/0.88 inference(scs_inference,[],[2,4,11,5,20,24,23])).
% 0.19/0.88 cnf(90,plain,
% 0.19/0.88 (P3(x901,x901,x901)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(96,plain,
% 0.19/0.88 (P3(a4,a2,a1)+P3(a2,a2,a1)+P3(a3,a2,a1)),
% 0.19/0.88 inference(scs_inference,[],[3,12,27,5,90,44,41,2,1,20,19,21,23])).
% 0.19/0.88 cnf(102,plain,
% 0.19/0.88 (~P3(a3,a2,a2)),
% 0.19/0.88 inference(scs_inference,[],[13,5,18,20])).
% 0.19/0.88 cnf(103,plain,
% 0.19/0.88 (P3(x1031,x1031,x1031)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(105,plain,
% 0.19/0.88 (~P3(a3,a2,a3)),
% 0.19/0.88 inference(scs_inference,[],[13,5,103,18,20,19])).
% 0.19/0.88 cnf(113,plain,
% 0.19/0.88 (~P3(a3,a3,a4)),
% 0.19/0.88 inference(scs_inference,[],[14,5,25,18])).
% 0.19/0.88 cnf(114,plain,
% 0.19/0.88 (P3(x1141,x1141,x1141)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(117,plain,
% 0.19/0.88 (P3(x1171,x1171,x1171)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(119,plain,
% 0.19/0.88 (~P3(a4,a3,a3)),
% 0.19/0.88 inference(scs_inference,[],[14,5,114,117,25,18,19,20])).
% 0.19/0.88 cnf(124,plain,
% 0.19/0.88 (P3(a1,a3,a4)+P3(a2,a3,a4)),
% 0.19/0.88 inference(scs_inference,[],[4,14,5,114,117,3,25,18,19,20,21,23])).
% 0.19/0.88 cnf(140,plain,
% 0.19/0.88 (P3(x1401,x1401,x1401)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(148,plain,
% 0.19/0.88 (P3(a3,a2,a4)+P3(a3,a4,a2)+P3(a1,a2,a4)+P3(a1,a4,a2)),
% 0.19/0.88 inference(scs_inference,[],[5,140,16,113,4,3,2,25,18,19,85,22,23])).
% 0.19/0.88 cnf(154,plain,
% 0.19/0.88 (P3(x1541,x1541,x1541)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(156,plain,
% 0.19/0.88 (~P3(a3,a4,a3)),
% 0.19/0.88 inference(scs_inference,[],[5,154,17,8,20,18,19])).
% 0.19/0.88 cnf(157,plain,
% 0.19/0.88 (P3(x1571,x1571,x1571)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(159,plain,
% 0.19/0.88 (~P3(a3,a4,x1591)+~P3(a4,x1591,a3)),
% 0.19/0.88 inference(scs_inference,[],[5,154,157,17,8,20,18,19,25])).
% 0.19/0.88 cnf(163,plain,
% 0.19/0.88 (~P3(a4,a1,a3)+P3(a3,a1,a4)+~P3(a2,a3,a1)),
% 0.19/0.88 inference(scs_inference,[],[5,154,157,17,8,20,18,19,25,75])).
% 0.19/0.88 cnf(176,plain,
% 0.19/0.88 (~P3(a2,x1761,a1)+~P3(x1761,a1,a2)),
% 0.19/0.88 inference(scs_inference,[],[6,5,25,24])).
% 0.19/0.88 cnf(178,plain,
% 0.19/0.88 (P3(x1781,x1781,x1781)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(183,plain,
% 0.19/0.88 (~P3(a2,a3,a1)+P3(a2,a1,a2)+P3(a4,a1,a2)),
% 0.19/0.88 inference(scs_inference,[],[6,11,5,178,25,24,20,52])).
% 0.19/0.88 cnf(209,plain,
% 0.19/0.88 (~P3(a1,a3,a2)+P3(a3,a2,a4)),
% 0.19/0.88 inference(scs_inference,[],[7,105,102,3,2,5,24,25,21])).
% 0.19/0.88 cnf(211,plain,
% 0.19/0.88 (~P3(a1,a3,a2)+P3(a2,a2,a1)+P3(a4,a2,a1)),
% 0.19/0.88 inference(scs_inference,[],[7,105,102,3,2,5,24,25,21,96])).
% 0.19/0.88 cnf(237,plain,
% 0.19/0.88 (~P3(a3,a3,a2)),
% 0.19/0.88 inference(scs_inference,[],[10,5,20,18])).
% 0.19/0.88 cnf(258,plain,
% 0.19/0.88 (~P3(x2581,a1,a3)+~P3(a3,x2581,a1)),
% 0.19/0.88 inference(scs_inference,[],[12,5,25,24])).
% 0.19/0.88 cnf(262,plain,
% 0.19/0.88 (~P3(a2,a1,a3)+P3(a3,a2,a4)),
% 0.19/0.88 inference(scs_inference,[],[12,105,102,3,2,5,25,24,21])).
% 0.19/0.88 cnf(266,plain,
% 0.19/0.88 (~P3(a2,a1,a3)+~P3(a4,a1,a3)),
% 0.19/0.88 inference(scs_inference,[],[12,47,41,105,102,3,2,1,5,25,24,21,22,159])).
% 0.19/0.88 cnf(268,plain,
% 0.19/0.88 (~P3(a1,a2,a4)+~P3(a2,a1,a3)),
% 0.19/0.88 inference(scs_inference,[],[12,47,41,105,102,3,2,1,5,25,24,21,22,159,20])).
% 0.19/0.88 cnf(275,plain,
% 0.19/0.88 (~P3(a2,a4,a4)),
% 0.19/0.88 inference(scs_inference,[],[11,5,24,20])).
% 0.19/0.88 cnf(295,plain,
% 0.19/0.88 (~P3(a2,a2,a3)),
% 0.19/0.88 inference(scs_inference,[],[10,5,24,18])).
% 0.19/0.88 cnf(296,plain,
% 0.19/0.88 (P3(x2961,x2961,x2961)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(298,plain,
% 0.19/0.88 (~P3(a2,a3,a2)),
% 0.19/0.88 inference(scs_inference,[],[10,5,296,24,18,19])).
% 0.19/0.88 cnf(307,plain,
% 0.19/0.88 (~P3(a2,a3,a3)),
% 0.19/0.88 inference(scs_inference,[],[10,5,24,20])).
% 0.19/0.88 cnf(308,plain,
% 0.19/0.88 (P3(x3081,x3081,x3081)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(310,plain,
% 0.19/0.88 (~P3(a2,a2,a4)),
% 0.19/0.88 inference(scs_inference,[],[10,16,5,308,24,20,18])).
% 0.19/0.88 cnf(338,plain,
% 0.19/0.88 (~P3(a4,a2,x3381)+~P3(a2,x3381,a4)),
% 0.19/0.88 inference(scs_inference,[],[11,5,20,25])).
% 0.19/0.88 cnf(346,plain,
% 0.19/0.88 (~P3(a4,a2,a3)+P3(a3,a1,a4)+~P3(a4,a1,a3)),
% 0.19/0.88 inference(scs_inference,[],[11,307,298,2,3,5,20,25,21,124,183,163])).
% 0.19/0.88 cnf(347,plain,
% 0.19/0.88 (~P3(a4,a2,a3)+P3(a2,a1,a2)+~P3(a2,a4,a1)),
% 0.19/0.88 inference(scs_inference,[],[11,307,298,2,3,5,20,25,21,124,183,163,176])).
% 0.19/0.88 cnf(351,plain,
% 0.19/0.88 (~P3(x3511,a2,a3)+~P3(a3,x3511,a2)),
% 0.19/0.88 inference(scs_inference,[],[13,5,25,24])).
% 0.19/0.88 cnf(367,plain,
% 0.19/0.88 (~P3(a4,a4,a3)),
% 0.19/0.88 inference(scs_inference,[],[14,310,275,4,2,5,24,22,18])).
% 0.19/0.88 cnf(368,plain,
% 0.19/0.88 (P3(x3681,x3681,x3681)),
% 0.19/0.88 inference(rename_variables,[],[5])).
% 0.19/0.88 cnf(370,plain,
% 0.19/0.88 (~P3(a2,a4,a2)),
% 0.19/0.88 inference(scs_inference,[],[14,16,310,275,4,2,5,368,24,22,18,19])).
% 0.19/0.88 cnf(385,plain,
% 0.19/0.88 (P3(a2,a1,a2)+~P3(a2,a4,a1)+P3(a4,a1,a3)),
% 0.19/0.88 inference(scs_inference,[],[119,367,4,3,5,24,22,351,347])).
% 0.19/0.88 cnf(388,plain,
% 0.19/0.88 (~P3(a3,a4,a4)+P3(a3,a1,a4)+P3(a4,a1,a3)),
% 0.19/0.88 inference(scs_inference,[],[119,14,367,4,3,5,24,22,351,347,346,148,20])).
% 0.19/0.88 cnf(398,plain,
% 0.19/0.88 (~P3(a2,x3981,a3)+~P3(x3981,a3,a2)),
% 0.19/0.88 inference(scs_inference,[],[13,5,25,24])).
% 0.19/0.88 cnf(415,plain,
% 0.19/0.88 (~P3(a4,a3,a2)+P3(a2,a1,a2)),
% 0.19/0.88 inference(scs_inference,[],[13,370,156,367,307,295,275,4,2,3,5,25,24,23,22,21,268,266,262,258,65,388,385])).
% 0.19/0.88 cnf(467,plain,
% 0.19/0.88 (~P3(a2,a2,a1)),
% 0.19/0.88 inference(scs_inference,[],[6,5,18])).
% 0.19/0.88 cnf(498,plain,
% 0.19/0.88 (~P3(a1,a3,a2)+P3(a4,a2,a1)),
% 0.19/0.88 inference(scs_inference,[],[467,211])).
% 0.19/0.88 cnf(501,plain,
% 0.19/0.88 (~P3(a2,a1,a2)),
% 0.19/0.88 inference(scs_inference,[],[6,5,18,19])).
% 0.19/0.88 cnf(506,plain,
% 0.19/0.88 (P3(a2,a1,a4)+~P3(a1,a3,a2)),
% 0.19/0.88 inference(scs_inference,[],[60,6,1,2,5,18,19,21,398])).
% 0.19/0.88 cnf(531,plain,
% 0.19/0.88 (~P3(a4,a3,a2)),
% 0.19/0.88 inference(scs_inference,[],[501,415])).
% 0.19/0.88 cnf(556,plain,
% 0.19/0.88 ($false),
% 0.19/0.88 inference(scs_inference,[],[531,237,298,2,3,5,20,23,506,498,209,67,338]),
% 0.19/0.88 ['proof']).
% 0.19/0.88 % SZS output end Proof
% 0.19/0.88 % Total time :0.260000s
%------------------------------------------------------------------------------