%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP128-1.003 : TPTP v8.2.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n020.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 : Mon Jun 24 06:38:54 EDT 2024 % Result : Unsatisfiable 58.81s 58.87s % Output : CNFRefutation 58.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GRP128-1.003 : TPTP v8.2.0. Released v1.2.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n020.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 : Thu Jun 20 12:16:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.57 start to proof:theBenchmark % 58.81/58.86 %------------------------------------------- % 58.81/58.86 % File :CSE---1.7 % 58.81/58.86 % Problem :theBenchmark % 58.81/58.86 % Transform :cnf % 58.81/58.86 % Format :tptp:raw % 58.81/58.86 % Command :java -jar mcs_scs.jar %d %s % 58.81/58.86 % 58.81/58.86 % Result :Theorem 58.240000s % 58.81/58.86 % Output :CNFRefutation 58.240000s % 58.81/58.86 %------------------------------------------- % 58.81/58.87 %-------------------------------------------------------------------------- % 58.81/58.87 % File : GRP128-1.003 : TPTP v8.2.0. Released v1.2.0. % 58.81/58.87 % Domain : Group Theory (Quasigroups) % 58.81/58.87 % Problem : (a.b).b = a.(a.b) % 58.81/58.87 % Version : [Sla93] axioms. % 58.81/58.87 % English : Generate the multiplication table for the specified quasi- % 58.81/58.87 % group with 3 elements. % 58.81/58.87 % 58.81/58.87 % Refs : [BZ92] Bennett & Zhu (1992), Conjugate-Orthogonal Latin Squar % 58.81/58.87 % : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 58.81/58.87 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 58.81/58.87 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 58.81/58.87 % Source : [Sla93] % 58.81/58.87 % Names : QG6 [Sla93] % 58.81/58.87 % : QG6 [FSB93] % 58.81/58.87 % : QG6 [SFS95] % 58.81/58.87 % : Bennett QG6 [TPTP] % 58.81/58.87 % 58.81/58.87 % Status : Unsatisfiable % 58.81/58.87 % Rating : 0.00 v2.1.0 % 58.81/58.87 % Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR) % 58.81/58.87 % Number of literals : 26 ( 0 equ; 16 neg) % 58.81/58.87 % Maximal clause size : 5 ( 1 avg) % 58.81/58.87 % Maximal term depth : 1 ( 1 avg) % 58.81/58.87 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty) % 58.81/58.87 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty) % 58.81/58.87 % Number of variables : 18 ( 0 sgn) % 58.81/58.87 % SPC : CNF_UNS_EPR_NEQ_NHN % 58.81/58.87 % 58.81/58.87 % Comments : [SFS93]'s axiomatization has been modified for this. % 58.81/58.87 % : Substitution axioms are not needed, as any positive equality % 58.81/58.87 % literals should resolve on negative ones directly. % 58.81/58.87 % : tptp2X: -f tptp -s3 GRP128-1.g % 58.81/58.87 %-------------------------------------------------------------------------- % 58.81/58.87 cnf(element_1,axiom, % 58.81/58.87 group_element(e_1) ). % 58.81/58.87 % 58.81/58.87 cnf(element_2,axiom, % 58.81/58.87 group_element(e_2) ). % 58.81/58.87 % 58.81/58.87 cnf(element_3,axiom, % 58.81/58.87 group_element(e_3) ). % 58.81/58.87 % 58.81/58.87 cnf(e_1_is_not_e_2,axiom, % 58.81/58.87 ~ equalish(e_1,e_2) ). % 58.81/58.87 % 58.81/58.87 cnf(e_1_is_not_e_3,axiom, % 58.81/58.87 ~ equalish(e_1,e_3) ). % 58.81/58.87 % 58.81/58.87 cnf(e_2_is_not_e_1,axiom, % 58.81/58.87 ~ equalish(e_2,e_1) ). % 58.81/58.87 % 58.81/58.87 cnf(e_2_is_not_e_3,axiom, % 58.81/58.87 ~ equalish(e_2,e_3) ). % 58.81/58.87 % 58.81/58.87 cnf(e_3_is_not_e_1,axiom, % 58.81/58.87 ~ equalish(e_3,e_1) ). % 58.81/58.87 % 58.81/58.87 cnf(e_3_is_not_e_2,axiom, % 58.81/58.87 ~ equalish(e_3,e_2) ). % 58.81/58.87 % 58.81/58.87 cnf(product_total_function1,axiom, % 58.81/58.87 ( ~ group_element(X) % 58.81/58.87 | ~ group_element(Y) % 58.81/58.87 | product(X,Y,e_1) % 58.81/58.87 | product(X,Y,e_2) % 58.81/58.87 | product(X,Y,e_3) ) ). % 58.81/58.87 % 58.81/58.87 cnf(product_total_function2,axiom, % 58.81/58.87 ( ~ product(X,Y,W) % 58.81/58.87 | ~ product(X,Y,Z) % 58.81/58.87 | equalish(W,Z) ) ). % 58.81/58.87 % 58.81/58.87 cnf(product_right_cancellation,axiom, % 58.81/58.87 ( ~ product(X,W,Y) % 58.81/58.87 | ~ product(X,Z,Y) % 58.81/58.87 | equalish(W,Z) ) ). % 58.81/58.87 % 58.81/58.87 cnf(product_left_cancellation,axiom, % 58.81/58.87 ( ~ product(W,Y,X) % 58.81/58.87 | ~ product(Z,Y,X) % 58.81/58.87 | equalish(W,Z) ) ). % 58.81/58.87 % 58.81/58.87 cnf(qg3,negated_conjecture, % 58.81/58.87 ( ~ product(X,Y,Z1) % 58.81/58.87 | ~ product(Z1,Y,Z2) % 58.81/58.87 | product(X,Z1,Z2) ) ). % 58.81/58.87 % 58.81/58.87 %-------------------------------------------------------------------------- % 58.81/58.87 %------------------------------------------- % 58.81/58.87 % Proof found % 58.81/58.87 % SZS status Theorem for theBenchmark % 58.81/58.87 % SZS output start Proof % 58.81/58.87 %ClaNum:14(EqnAxiom:0) % 58.81/58.87 %VarNum:41(SingletonVarNum:18) % 58.81/58.87 %MaxLitNum:5 % 58.81/58.87 %MaxfuncDepth:0 % 58.81/58.87 %SharedTerms:12 % 58.81/58.87 %goalClause: 14 % 58.81/58.87 [1]P1(a1) % 58.81/58.87 [2]P1(a2) % 58.81/58.87 [3]P1(a3) % 58.81/58.87 [4]~P2(a1,a2) % 58.81/58.87 [5]~P2(a1,a3) % 58.81/58.87 [6]~P2(a2,a1) % 58.81/58.87 [7]~P2(a2,a3) % 58.81/58.87 [8]~P2(a3,a1) % 58.81/58.87 [9]~P2(a3,a2) % 58.81/58.87 [11]~P3(x113,x114,x111)+P2(x111,x112)+~P3(x113,x114,x112) % 58.81/58.87 [12]~P3(x123,x121,x124)+P2(x121,x122)+~P3(x123,x122,x124) % 58.81/58.87 [13]~P3(x131,x133,x134)+P2(x131,x132)+~P3(x132,x133,x134) % 58.81/58.87 [14]~P3(x141,x144,x142)+P3(x141,x142,x143)+~P3(x142,x144,x143) % 58.81/58.87 [10]~P1(x102)+~P1(x101)+P3(x101,x102,a2)+P3(x101,x102,a3)+P3(x101,x102,a1) % 58.81/58.87 %EqnAxiom % 58.81/58.87 % 58.81/58.87 %------------------------------------------- % 58.86/58.89 cnf(17,plain, % 58.86/58.89 (~P3(x171,x172,x173)+~P3(a1,x171,x173)+~P3(a2,x172,x171)), % 58.86/58.89 inference(scs_inference,[],[4,13,14])). % 58.86/58.90 cnf(18,plain, % 58.86/58.90 (~P3(x181,x182,a1)+~P3(x182,x183,a3)+~P3(x181,x183,x182)), % 58.86/58.90 inference(scs_inference,[],[8,11,14])). % 58.86/58.90 cnf(19,plain, % 58.86/58.90 (~P3(x191,x192,a1)+~P3(x193,x191,a2)+~P3(x193,x192,x191)), % 58.86/58.90 inference(scs_inference,[],[6,11,14])). % 58.86/58.90 cnf(20,plain, % 58.86/58.90 (~P3(x201,x202,a3)+~P3(x202,x203,a2)+~P3(x201,x203,x202)), % 58.86/58.90 inference(scs_inference,[],[7,11,14])). % 58.86/58.90 cnf(24,plain, % 58.86/58.90 (~P3(x241,x242,a3)+~P3(x242,x243,a1)+~P3(x241,x243,x242)), % 58.86/58.90 inference(scs_inference,[],[5,11,14])). % 58.86/58.90 cnf(40,plain, % 58.86/58.90 (~P3(x401,a3,x402)+~P3(a2,x403,x402)+~P3(x401,x403,a2)), % 58.86/58.90 inference(scs_inference,[],[7,12,14])). % 58.86/58.90 cnf(41,plain, % 58.86/58.90 (~P3(a2,a1,a1)+P3(a2,a3,a2)+P3(a2,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[5,3,2,12,10])). % 58.86/58.90 cnf(42,plain, % 58.86/58.90 (~P3(a2,a1,a1)+P3(a2,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[41,40])). % 58.86/58.90 cnf(30007,plain, % 58.86/58.90 (~P3(x300071,a1,x300072)+~P3(x300071,a3,x300072)), % 58.86/58.90 inference(scs_inference,[],[8,12])). % 58.86/58.90 cnf(30009,plain, % 58.86/58.90 (~P3(a1,x300091,x300092)+~P3(a3,x300091,x300092)), % 58.86/58.90 inference(scs_inference,[],[8,12,13])). % 58.86/58.90 cnf(30011,plain, % 58.86/58.90 (P3(a1,a1,a2)+P3(a1,a1,a3)+P3(a1,a1,a1)), % 58.86/58.90 inference(scs_inference,[],[1,10])). % 58.86/58.90 cnf(30012,plain, % 58.86/58.90 (~P3(x300121,x300122,a2)+~P3(x300121,x300122,a1)), % 58.86/58.90 inference(scs_inference,[],[4,11])). % 58.86/58.90 cnf(30015,plain, % 58.86/58.90 (~P3(x300151,a1,x300152)+~P3(x300151,a2,x300152)), % 58.86/58.90 inference(scs_inference,[],[6,12])). % 58.86/58.90 cnf(30017,plain, % 58.86/58.90 (~P3(a1,a1,a2)+P3(a1,a2,a3)+P3(a1,a2,a1)), % 58.86/58.90 inference(scs_inference,[],[1,6,2,12,10])). % 58.86/58.90 cnf(30018,plain, % 58.86/58.90 (~P3(x300181,x300182,x300183)+~P3(a3,x300182,x300181)+~P3(a1,x300181,x300183)), % 58.86/58.90 inference(scs_inference,[],[30009,14])). % 58.86/58.90 cnf(30019,plain, % 58.86/58.90 (~P3(a3,x300191,x300192)+~P3(a2,x300191,x300192)), % 58.86/58.90 inference(scs_inference,[],[7,13])). % 58.86/58.90 cnf(30025,plain, % 58.86/58.90 (~P3(x300251,a2,x300252)+~P3(x300251,a3,x300252)), % 58.86/58.90 inference(scs_inference,[],[9,12])). % 58.86/58.90 cnf(30028,plain, % 58.86/58.90 (~P3(a2,x300281,x300282)+~P3(x300283,x300281,a2)+~P3(x300283,a1,x300282)), % 58.86/58.90 inference(scs_inference,[],[30015,14])). % 58.86/58.90 cnf(30030,plain, % 58.86/58.90 (~P3(a2,a1,a1)+~P3(a3,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[30019,42])). % 58.86/58.90 cnf(30031,plain, % 58.86/58.90 (~P3(a1,x300311,x300312)+~P3(a2,x300311,x300312)), % 58.86/58.90 inference(scs_inference,[],[6,13])). % 58.86/58.90 cnf(30036,plain, % 58.86/58.90 (~P3(a3,a3,a3)+P3(a2,a1,a2)+P3(a2,a1,a3)), % 58.86/58.90 inference(scs_inference,[],[1,2,30030,10])). % 58.86/58.90 cnf(30037,plain, % 58.86/58.90 (P3(a3,a3,a1)+P3(a3,a3,a3)+P3(a3,a3,a2)), % 58.86/58.90 inference(scs_inference,[],[3,10])). % 58.86/58.90 cnf(30041,plain, % 58.86/58.90 (P3(a1,a1,a1)+P3(a1,a1,a2)+~P3(a3,a1,a1)), % 58.86/58.90 inference(scs_inference,[],[30011,30018])). % 58.86/58.90 cnf(30042,plain, % 58.86/58.90 (~P3(a1,a1,a2)+P3(a1,a2,a3)), % 58.86/58.90 inference(scs_inference,[],[30017,19])). % 58.86/58.90 cnf(30043,plain, % 58.86/58.90 (P3(a1,a1,a1)+~P3(a3,a1,a1)+P3(a1,a2,a3)), % 58.86/58.90 inference(scs_inference,[],[30042,30041])). % 58.86/58.90 cnf(30045,plain, % 58.86/58.90 (P3(a2,a1,a3)+~P3(a3,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[30036,30028])). % 58.86/58.90 cnf(30051,plain, % 58.86/58.90 (P3(a3,a3,a3)+P3(a3,a3,a2)+~P3(x300511,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[30037,24])). % 58.86/58.90 cnf(30054,plain, % 58.86/58.90 (~P3(a3,a1,a1)+P3(a1,a2,a3)), % 58.86/58.90 inference(scs_inference,[],[30043,30018])). % 58.86/58.90 cnf(30058,plain, % 58.86/58.90 (~P3(x300581,a3,a3)+P3(a3,a3,a3)+~P3(x300582,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[30051,20])). % 58.86/58.90 cnf(30060,plain, % 58.86/58.90 (~P3(a1,a3,a3)+~P3(x300601,a3,a3)+~P3(x300602,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[30058,30018])). % 58.86/58.90 cnf(30061,plain, % 58.86/58.90 (~P3(a1,a3,a3)), % 58.86/58.90 inference(factoring_inference,[],[30060])). % 58.86/58.90 cnf(30066,plain, % 58.86/58.90 (P3(a1,a3,a1)+P3(a1,a3,a2)), % 58.86/58.90 inference(scs_inference,[],[1,30061,3,10])). % 58.86/58.90 cnf(30068,plain, % 58.86/58.90 (P3(a1,a3,a2)+~P3(a1,a1,a1)), % 58.86/58.90 inference(scs_inference,[],[1,30061,3,10,30007])). % 58.86/58.90 cnf(30076,plain, % 58.86/58.90 (~P3(a1,x300761,a1)+P3(a1,a3,a2)), % 58.86/58.90 inference(scs_inference,[],[30068,14])). % 58.86/58.90 cnf(30080,plain, % 58.86/58.90 (~P3(a1,a3,a1)+~P3(a1,x300801,a1)), % 58.86/58.90 inference(scs_inference,[],[30076,30012])). % 58.86/58.90 cnf(30081,plain, % 58.86/58.90 (~P3(a1,a3,a1)), % 58.86/58.90 inference(factoring_inference,[],[30080])). % 58.86/58.90 cnf(30082,plain, % 58.86/58.90 (P3(a1,a3,a2)), % 58.86/58.90 inference(scs_inference,[],[30081,30066])). % 58.86/58.90 cnf(30091,plain, % 58.86/58.90 (~P3(a2,a3,a2)), % 58.86/58.90 inference(scs_inference,[],[30082,30025,30031])). % 58.86/58.90 cnf(30093,plain, % 58.86/58.90 (~P3(a3,a3,a2)), % 58.86/58.90 inference(scs_inference,[],[30082,30025,30031,30009])). % 58.86/58.90 cnf(30097,plain, % 58.86/58.90 (P3(a2,a3,a3)+~P3(a1,a2,a3)), % 58.86/58.90 inference(scs_inference,[],[30082,3,2,30025,30031,30009,24,10])). % 58.86/58.90 cnf(30103,plain, % 58.86/58.90 (P3(a3,a3,a3)+P3(a3,a3,a1)), % 58.86/58.90 inference(scs_inference,[],[30093,30037])). % 58.86/58.90 cnf(30109,plain, % 58.86/58.90 (~P3(a3,a1,a3)), % 58.86/58.90 inference(scs_inference,[],[30082,20,30103,30019,30007])). % 58.86/58.90 cnf(30114,plain, % 58.86/58.90 (~P3(a3,x301141,a2)+~P3(a2,x301141,a3)), % 58.86/58.90 inference(scs_inference,[],[30082,17])). % 58.86/58.90 cnf(30120,plain, % 58.86/58.90 (P3(a3,a1,a1)+P3(a3,a1,a2)), % 58.86/58.90 inference(scs_inference,[],[30109,30082,3,1,18,10])). % 58.86/58.90 cnf(30132,plain, % 58.86/58.90 (~P3(a1,a1,x301321)+~P3(a2,a3,x301321)), % 58.86/58.90 inference(scs_inference,[],[30082,30028])). % 58.86/58.90 cnf(30140,plain, % 58.86/58.90 (P3(a2,a3,a3)+~P3(a3,a1,a1)), % 58.86/58.90 inference(scs_inference,[],[30097,30054])). % 58.86/58.90 cnf(30146,plain, % 58.86/58.90 (~P3(a3,a3,a3)+~P3(a3,a1,a2)), % 58.86/58.90 inference(scs_inference,[],[30114,30045])). % 58.86/58.90 cnf(30154,plain, % 58.86/58.90 (~P3(a3,a1,a1)+~P3(a2,a1,a3)), % 58.86/58.90 inference(scs_inference,[],[30140,30007])). % 58.86/58.90 cnf(30158,plain, % 58.86/58.90 (P3(a3,a3,a1)+~P3(a3,a1,a2)), % 58.86/58.90 inference(scs_inference,[],[30146,30103])). % 58.86/58.90 cnf(30166,plain, % 58.86/58.90 (~P3(a3,a3,a3)+~P3(a3,a1,a1)), % 58.86/58.90 inference(scs_inference,[],[30154,30045])). % 58.86/58.90 cnf(30181,plain, % 58.86/58.90 (P3(a3,a3,a1)+~P3(a3,a1,a1)), % 58.86/58.90 inference(scs_inference,[],[30166,30103])). % 58.86/58.90 cnf(30188,plain, % 58.86/58.90 (~P3(a3,a1,a1)), % 58.86/58.90 inference(scs_inference,[],[30181,30007])). % 58.86/58.90 cnf(30189,plain, % 58.86/58.90 (P3(a3,a1,a2)), % 58.86/58.90 inference(scs_inference,[],[30188,30120])). % 58.86/58.90 cnf(30191,plain, % 58.86/58.90 (~P3(a3,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[30189,30146])). % 58.86/58.90 cnf(30192,plain, % 58.86/58.90 (P3(a3,a3,a1)), % 58.86/58.90 inference(scs_inference,[],[30189,30158])). % 58.86/58.90 cnf(30195,plain, % 58.86/58.90 (~P3(x301951,a3,a3)+~P3(x301952,a3,a3)), % 58.86/58.90 inference(scs_inference,[],[30191,30058])). % 58.86/58.90 cnf(30213,plain, % 58.86/58.90 ($false), % 58.86/58.90 inference(scs_inference,[],[30192,30189,30091,7,4,3,2,30114,30025,30028,12,13,10,30132,30195]), % 58.86/58.90 ['proof']). % 58.86/58.92 % SZS output end Proof % 58.86/58.92 % Total time :58.240000s %------------------------------------------------------------------------------