%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP124-4.004 : TPTP v8.2.0. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n001.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 06:38:49 EDT 2024 % Result : Unsatisfiable 58.39s 58.67s % Output : CNFRefutation 58.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.07 % Problem : GRP124-4.004 : TPTP v8.2.0. Bugfixed v1.2.1. % 0.02/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.07/0.25 % Computer : n001.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Thu Jun 20 12:13:53 EDT 2024 % 0.07/0.25 % CPUTime : % 0.10/0.41 start to proof:theBenchmark % 58.39/58.65 %------------------------------------------- % 58.39/58.65 % File :CSE---1.7 % 58.39/58.65 % Problem :theBenchmark % 58.39/58.65 % Transform :cnf % 58.39/58.65 % Format :tptp:raw % 58.39/58.65 % Command :java -jar mcs_scs.jar %d %s % 58.39/58.65 % 58.39/58.65 % Result :Theorem 58.020000s % 58.39/58.65 % Output :CNFRefutation 58.020000s % 58.39/58.65 %------------------------------------------- % 58.39/58.66 %-------------------------------------------------------------------------- % 58.39/58.66 % File : GRP124-4.004 : TPTP v8.2.0. Bugfixed v1.2.1. % 58.39/58.66 % Domain : Group Theory (Quasigroups) % 58.39/58.66 % Problem : (3,1,2) conjugate orthogonality % 58.39/58.66 % Version : [Sla93] axioms : Augmented. % 58.39/58.66 % English : If ab=xy and a*b = x*y then a=x and b=y, where c*a=b iff ab=c. % 58.39/58.67 % Generate the multiplication table for the specified quasi- % 58.39/58.67 % group with 4 elements. % 58.39/58.67 % 58.39/58.67 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 58.39/58.67 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 58.39/58.67 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 58.39/58.67 % Source : [TPTP] % 58.39/58.67 % Names : % 58.39/58.67 % 58.39/58.67 % Status : Unsatisfiable % 58.39/58.67 % Rating : 0.00 v2.1.0 % 58.39/58.67 % Syntax : Number of clauses : 25 ( 17 unt; 3 nHn; 24 RR) % 58.39/58.67 % Number of literals : 54 ( 0 equ; 32 neg) % 58.39/58.67 % Maximal clause size : 6 ( 2 avg) % 58.39/58.67 % Maximal term depth : 1 ( 1 avg) % 58.39/58.67 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty) % 58.39/58.67 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty) % 58.39/58.67 % Number of variables : 31 ( 0 sgn) % 58.39/58.67 % SPC : CNF_UNS_EPR_NEQ_NHN % 58.39/58.67 % 58.39/58.67 % Comments : [SFS93]'s axiomatization has been modified for this. % 58.39/58.67 % : Substitution axioms are not needed, as any positive equality % 58.39/58.67 % literals should resolve on negative ones directly. % 58.39/58.67 % : As in GRP123-1, either one of qg2_1 or qg2_2 may be used, as % 58.39/58.67 % each implies the other in this scenario, with the help of % 58.39/58.67 % cancellation. The dependence cannot be proved, so both have % 58.39/58.67 % been left in here. % 58.39/58.67 % : Version 4 has surjectivity and rotation % 58.39/58.67 % : tptp2X: -f tptp -s4 GRP124-4.g % 58.39/58.67 % Bugfixes : v1.2.1 - Clauses row_surjectivity and column_surjectivity fixed. % 58.39/58.67 %-------------------------------------------------------------------------- % 58.39/58.67 cnf(row_surjectivity,axiom, % 58.39/58.67 ( ~ group_element(X) % 58.39/58.67 | ~ group_element(Y) % 58.39/58.67 | product(e_1,X,Y) % 58.39/58.67 | product(e_2,X,Y) % 58.39/58.67 | product(e_3,X,Y) % 58.39/58.67 | product(e_4,X,Y) ) ). % 58.39/58.67 % 58.39/58.67 cnf(column_surjectivity,axiom, % 58.39/58.67 ( ~ group_element(X) % 58.39/58.67 | ~ group_element(Y) % 58.39/58.67 | product(X,e_1,Y) % 58.39/58.67 | product(X,e_2,Y) % 58.39/58.67 | product(X,e_3,Y) % 58.39/58.67 | product(X,e_4,Y) ) ). % 58.39/58.67 % 58.39/58.67 cnf(element_1,axiom, % 58.39/58.67 group_element(e_1) ). % 58.39/58.67 % 58.39/58.67 cnf(element_2,axiom, % 58.39/58.67 group_element(e_2) ). % 58.39/58.67 % 58.39/58.67 cnf(element_3,axiom, % 58.39/58.67 group_element(e_3) ). % 58.39/58.67 % 58.39/58.67 cnf(element_4,axiom, % 58.39/58.67 group_element(e_4) ). % 58.39/58.67 % 58.39/58.67 cnf(e_1_is_not_e_2,axiom, % 58.39/58.67 ~ equalish(e_1,e_2) ). % 58.39/58.67 % 58.39/58.67 cnf(e_1_is_not_e_3,axiom, % 58.39/58.67 ~ equalish(e_1,e_3) ). % 58.39/58.67 % 58.39/58.67 cnf(e_1_is_not_e_4,axiom, % 58.39/58.67 ~ equalish(e_1,e_4) ). % 58.39/58.67 % 58.39/58.67 cnf(e_2_is_not_e_1,axiom, % 58.39/58.67 ~ equalish(e_2,e_1) ). % 58.39/58.67 % 58.39/58.67 cnf(e_2_is_not_e_3,axiom, % 58.39/58.67 ~ equalish(e_2,e_3) ). % 58.39/58.67 % 58.39/58.67 cnf(e_2_is_not_e_4,axiom, % 58.39/58.67 ~ equalish(e_2,e_4) ). % 58.39/58.67 % 58.39/58.67 cnf(e_3_is_not_e_1,axiom, % 58.39/58.67 ~ equalish(e_3,e_1) ). % 58.39/58.67 % 58.39/58.67 cnf(e_3_is_not_e_2,axiom, % 58.39/58.67 ~ equalish(e_3,e_2) ). % 58.39/58.67 % 58.39/58.67 cnf(e_3_is_not_e_4,axiom, % 58.39/58.67 ~ equalish(e_3,e_4) ). % 58.39/58.67 % 58.39/58.67 cnf(e_4_is_not_e_1,axiom, % 58.39/58.67 ~ equalish(e_4,e_1) ). % 58.39/58.67 % 58.39/58.67 cnf(e_4_is_not_e_2,axiom, % 58.39/58.67 ~ equalish(e_4,e_2) ). % 58.39/58.67 % 58.39/58.67 cnf(e_4_is_not_e_3,axiom, % 58.39/58.67 ~ equalish(e_4,e_3) ). % 58.39/58.67 % 58.39/58.67 cnf(product_total_function1,axiom, % 58.39/58.67 ( ~ group_element(X) % 58.39/58.67 | ~ group_element(Y) % 58.39/58.67 | product(X,Y,e_1) % 58.39/58.67 | product(X,Y,e_2) % 58.39/58.67 | product(X,Y,e_3) % 58.39/58.67 | product(X,Y,e_4) ) ). % 58.39/58.67 % 58.39/58.67 cnf(product_total_function2,axiom, % 58.39/58.67 ( ~ product(X,Y,W) % 58.39/58.67 | ~ product(X,Y,Z) % 58.39/58.67 | equalish(W,Z) ) ). % 58.39/58.67 % 58.39/58.67 cnf(product_right_cancellation,axiom, % 58.39/58.67 ( ~ product(X,W,Y) % 58.39/58.67 | ~ product(X,Z,Y) % 58.39/58.67 | equalish(W,Z) ) ). % 58.39/58.67 % 58.39/58.67 cnf(product_left_cancellation,axiom, % 58.39/58.67 ( ~ product(W,Y,X) % 58.39/58.67 | ~ product(Z,Y,X) % 58.39/58.67 | equalish(W,Z) ) ). % 58.39/58.67 % 58.39/58.67 cnf(product_idempotence,axiom, % 58.39/58.67 product(X,X,X) ). % 58.39/58.67 % 58.39/58.67 cnf(qg2_1,negated_conjecture, % 58.39/58.67 ( ~ product(X1,Y1,Z1) % 58.39/58.67 | ~ product(X2,Y2,Z1) % 58.39/58.67 | ~ product(Z2,X1,Y1) % 58.39/58.67 | ~ product(Z2,X2,Y2) % 58.39/58.67 | equalish(X1,X2) ) ). % 58.39/58.67 % 58.39/58.67 cnf(qg2_2,negated_conjecture, % 58.39/58.67 ( ~ product(X1,Y1,Z1) % 58.39/58.67 | ~ product(X2,Y2,Z1) % 58.39/58.67 | ~ product(Z2,X1,Y1) % 58.39/58.67 | ~ product(Z2,X2,Y2) % 58.39/58.67 | equalish(Y1,Y2) ) ). % 58.39/58.67 % 58.39/58.67 %-------------------------------------------------------------------------- % 58.39/58.67 %------------------------------------------- % 58.39/58.67 % Proof found % 58.39/58.67 % SZS status Theorem for theBenchmark % 58.39/58.67 % SZS output start Proof % 58.39/58.68 %ClaNum:25(EqnAxiom:0) % 58.39/58.68 %VarNum:85(SingletonVarNum:31) % 58.39/58.68 %MaxLitNum:6 % 58.39/58.68 %MaxfuncDepth:0 % 58.39/58.68 %SharedTerms:20 % 58.39/58.68 %goalClause: 24 25 % 58.39/58.68 [1]P1(a1) % 58.39/58.68 [2]P1(a2) % 58.39/58.68 [3]P1(a3) % 58.39/58.68 [4]P1(a4) % 58.39/58.68 [6]~P2(a1,a2) % 58.39/58.68 [7]~P2(a1,a3) % 58.39/58.68 [8]~P2(a1,a4) % 58.39/58.68 [9]~P2(a2,a1) % 58.39/58.68 [10]~P2(a2,a3) % 58.39/58.68 [11]~P2(a2,a4) % 58.39/58.68 [12]~P2(a3,a1) % 58.39/58.68 [13]~P2(a3,a2) % 58.39/58.68 [14]~P2(a3,a4) % 58.39/58.68 [15]~P2(a4,a1) % 58.39/58.68 [16]~P2(a4,a2) % 58.39/58.68 [17]~P2(a4,a3) % 58.39/58.68 [5]P3(x51,x51,x51) % 58.39/58.68 [18]~P3(x183,x184,x181)+P2(x181,x182)+~P3(x183,x184,x182) % 58.39/58.68 [19]~P3(x193,x191,x194)+P2(x191,x192)+~P3(x193,x192,x194) % 58.39/58.68 [20]~P3(x201,x203,x204)+P2(x201,x202)+~P3(x202,x203,x204) % 58.39/58.68 [24]~P3(x245,x241,x246)+P2(x241,x242)+~P3(x243,x244,x242)+~P3(x243,x245,x241)+~P3(x244,x242,x246) % 58.39/58.68 [25]~P3(x251,x255,x256)+P2(x251,x252)+~P3(x253,x252,x254)+~P3(x253,x251,x255)+~P3(x252,x254,x256) % 58.39/58.68 [21]~P1(x212)+~P1(x211)+P3(x211,x212,a2)+P3(x211,x212,a3)+P3(x211,x212,a4)+P3(x211,x212,a1) % 58.39/58.68 [22]~P1(x222)+~P1(x221)+P3(x221,a2,x222)+P3(x221,a3,x222)+P3(x221,a4,x222)+P3(x221,a1,x222) % 58.39/58.68 [23]~P1(x232)+~P1(x231)+P3(a2,x231,x232)+P3(a3,x231,x232)+P3(a4,x231,x232)+P3(a1,x231,x232) % 58.39/58.68 %EqnAxiom % 58.39/58.68 % 58.39/58.68 %------------------------------------------- % 58.62/58.86 cnf(279154,plain, % 58.62/58.86 (~P3(a1,a2,a1)), % 58.62/58.86 inference(scs_inference,[],[6,5,19])). % 58.62/58.86 cnf(279155,plain, % 58.62/58.86 (P3(x2791551,x2791551,x2791551)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279158,plain, % 58.62/58.86 (P3(x2791581,x2791581,x2791581)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279160,plain, % 58.62/58.86 (~P3(a2,a1,a1)), % 58.62/58.86 inference(scs_inference,[],[6,5,279155,279158,19,18,20])). % 58.62/58.86 cnf(279161,plain, % 58.62/58.86 (P3(x2791611,x2791611,x2791611)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279165,plain, % 58.62/58.86 (~P3(a2,x2791651,a1)+~P3(a1,a2,x2791651)), % 58.62/58.86 inference(scs_inference,[],[6,5,279155,279158,279161,19,18,20,24,25])). % 58.62/58.86 cnf(279168,plain, % 58.62/58.86 (~P3(a2,a4,a1)+P3(a1,a2,a2)+P3(a1,a2,a3)), % 58.62/58.86 inference(scs_inference,[],[1,2,6,5,279155,279158,279161,19,18,20,24,25,21])). % 58.62/58.86 cnf(279169,plain, % 58.62/58.86 (~P3(a1,a3,a1)), % 58.62/58.86 inference(scs_inference,[],[7,5,19])). % 58.62/58.86 cnf(279170,plain, % 58.62/58.86 (P3(x2791701,x2791701,x2791701)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279173,plain, % 58.62/58.86 (P3(x2791731,x2791731,x2791731)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279175,plain, % 58.62/58.86 (~P3(a3,a1,a1)), % 58.62/58.86 inference(scs_inference,[],[7,5,279170,279173,19,18,20])). % 58.62/58.86 cnf(279176,plain, % 58.62/58.86 (P3(x2791761,x2791761,x2791761)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279178,plain, % 58.62/58.86 (~P3(a3,x2791781,a1)+~P3(x2791781,a1,a3)), % 58.62/58.86 inference(scs_inference,[],[7,5,279170,279173,279176,19,18,20,24])). % 58.62/58.86 cnf(279187,plain, % 58.62/58.86 (P3(x2791871,x2791871,x2791871)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279189,plain, % 58.62/58.86 (~P3(a1,a4,a1)), % 58.62/58.86 inference(scs_inference,[],[8,5,279187,18,19])). % 58.62/58.86 cnf(279190,plain, % 58.62/58.86 (P3(x2791901,x2791901,x2791901)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279192,plain, % 58.62/58.86 (~P3(a4,a1,a1)), % 58.62/58.86 inference(scs_inference,[],[8,5,279187,279190,18,19,20])). % 58.62/58.86 cnf(279203,plain, % 58.62/58.86 (P3(x2792031,x2792031,x2792031)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279205,plain, % 58.62/58.86 (~P3(a2,a2,a1)), % 58.62/58.86 inference(scs_inference,[],[9,5,279203,19,18])). % 58.62/58.86 cnf(279206,plain, % 58.62/58.86 (P3(x2792061,x2792061,x2792061)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279209,plain, % 58.62/58.86 (P3(x2792091,x2792091,x2792091)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279213,plain, % 58.62/58.86 (P3(a1,a2,a3)+~P3(a2,a4,a1)), % 58.62/58.86 inference(scs_inference,[],[9,5,279203,279206,279209,19,18,20,24,279168])). % 58.62/58.86 cnf(279214,plain, % 58.62/58.86 (~P3(a2,a3,a1)+~P3(a2,a4,a1)), % 58.62/58.86 inference(scs_inference,[],[9,5,279203,279206,279209,19,18,20,24,279168,279165])). % 58.62/58.86 cnf(279219,plain, % 58.62/58.86 (P3(x2792191,x2792191,x2792191)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279222,plain, % 58.62/58.86 (P3(x2792221,x2792221,x2792221)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279225,plain, % 58.62/58.86 (P3(x2792251,x2792251,x2792251)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279229,plain, % 58.62/58.86 (~P3(a3,x2792291,a2)+~P3(x2792291,a2,a3)), % 58.62/58.86 inference(scs_inference,[],[10,5,279219,279222,279225,18,19,20,25,24])). % 58.62/58.86 cnf(279250,plain, % 58.62/58.86 (~P3(a3,a3,a1)), % 58.62/58.86 inference(scs_inference,[],[12,5,18])). % 58.62/58.86 cnf(279251,plain, % 58.62/58.86 (P3(x2792511,x2792511,x2792511)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279254,plain, % 58.62/58.86 (P3(x2792541,x2792541,x2792541)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279256,plain, % 58.62/58.86 (~P3(a1,a3,a3)), % 58.62/58.86 inference(scs_inference,[],[12,5,279251,279254,18,19,20])). % 58.62/58.86 cnf(279257,plain, % 58.62/58.86 (P3(x2792571,x2792571,x2792571)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279267,plain, % 58.62/58.86 (~P3(a1,a4,a3)+~P3(a1,a2,a3)), % 58.62/58.86 inference(scs_inference,[],[1,12,14,279175,3,5,279251,279254,279257,18,19,20,25,24,21,279229])). % 58.62/58.86 cnf(279271,plain, % 58.62/58.86 (~P3(a4,a1,a4)), % 58.62/58.86 inference(scs_inference,[],[15,5,19])). % 58.62/58.86 cnf(279272,plain, % 58.62/58.86 (P3(x2792721,x2792721,x2792721)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279274,plain, % 58.62/58.86 (~P3(a4,a4,a1)), % 58.62/58.86 inference(scs_inference,[],[15,5,279272,19,18])). % 58.62/58.86 cnf(279288,plain, % 58.62/58.86 (P3(x2792881,x2792881,x2792881)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279291,plain, % 58.62/58.86 (P3(x2792911,x2792911,x2792911)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279294,plain, % 58.62/58.86 (P3(x2792941,x2792941,x2792941)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279296,plain, % 58.62/58.86 (~P3(a2,x2792961,a4)+~P3(x2792961,a4,a2)), % 58.62/58.86 inference(scs_inference,[],[16,5,279288,279291,279294,18,19,20,24])). % 58.62/58.86 cnf(279298,plain, % 58.62/58.86 (P3(x2792981,x2792981,x2792981)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279300,plain, % 58.62/58.86 (~P3(a2,a4,x2793001)+~P3(a4,x2793001,a2)), % 58.62/58.86 inference(scs_inference,[],[16,5,279288,279291,279294,279298,18,19,20,24,25])). % 58.62/58.86 cnf(279304,plain, % 58.62/58.86 (~P3(a4,a3,a4)), % 58.62/58.86 inference(scs_inference,[],[17,5,19])). % 58.62/58.86 cnf(279305,plain, % 58.62/58.86 (P3(x2793051,x2793051,x2793051)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279308,plain, % 58.62/58.86 (P3(x2793081,x2793081,x2793081)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279311,plain, % 58.62/58.86 (P3(x2793111,x2793111,x2793111)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279315,plain, % 58.62/58.86 (~P3(x2793151,a3,a4)+~P3(a4,x2793151,a3)), % 58.62/58.86 inference(scs_inference,[],[17,5,279305,279308,279311,19,18,20,25,24])). % 58.62/58.86 cnf(279321,plain, % 58.62/58.86 (~P3(a1,a3,a4)+~P3(a2,a4,a1)), % 58.62/58.86 inference(scs_inference,[],[1,279271,17,279192,4,5,279305,279308,279311,19,18,20,25,24,21,279300])). % 58.62/58.86 cnf(279325,plain, % 58.62/58.86 (P3(x2793251,x2793251,x2793251)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279328,plain, % 58.62/58.86 (P3(x2793281,x2793281,x2793281)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279331,plain, % 58.62/58.86 (P3(x2793311,x2793311,x2793311)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279335,plain, % 58.62/58.86 (P3(a3,a4,a1)+P3(a3,a2,a1)), % 58.62/58.86 inference(scs_inference,[],[1,279250,13,279175,3,5,279325,279328,279331,18,19,20,24,22])). % 58.62/58.86 cnf(279339,plain, % 58.62/58.86 (P3(x2793391,x2793391,x2793391)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279341,plain, % 58.62/58.86 (~P3(a3,a3,a4)), % 58.62/58.86 inference(scs_inference,[],[14,5,279339,19,18])). % 58.62/58.86 cnf(279342,plain, % 58.62/58.86 (P3(x2793421,x2793421,x2793421)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.86 cnf(279345,plain, % 58.62/58.86 (P3(x2793451,x2793451,x2793451)), % 58.62/58.86 inference(rename_variables,[],[5])). % 58.62/58.87 cnf(279350,plain, % 58.62/58.87 (P3(a2,a4,a1)+P3(a2,a3,a1)), % 58.62/58.87 inference(scs_inference,[],[1,279160,279205,14,2,5,279339,279342,279345,19,18,20,25,22])). % 58.62/58.87 cnf(279352,plain, % 58.62/58.87 (~P3(a1,x2793521,a2)+~P3(x2793521,a2,a1)), % 58.62/58.87 inference(scs_inference,[],[9,5,24])). % 58.62/58.87 cnf(279356,plain, % 58.62/58.87 (~P3(a1,a3,a2)+P3(a4,a2,a1)), % 58.62/58.87 inference(scs_inference,[],[1,279154,279205,9,2,5,24,23])). % 58.62/58.87 cnf(279358,plain, % 58.62/58.87 (~P3(a1,a3,a2)+P3(a3,a4,a1)), % 58.62/58.87 inference(scs_inference,[],[1,279154,279205,9,2,5,24,23,279335])). % 58.62/58.87 cnf(279359,plain, % 58.62/58.87 (~P3(a2,a4,a1)+~P3(a1,a3,a2)), % 58.62/58.87 inference(scs_inference,[],[1,279154,279205,9,13,2,5,24,23,279335,20])). % 58.62/58.87 cnf(279375,plain, % 58.62/58.87 (~P3(a1,a3,a4)), % 58.62/58.87 inference(scs_inference,[],[1,279189,279274,15,4,5,25,24,23,279213,279214,279267,279321])). % 58.62/58.87 cnf(279391,plain, % 58.62/58.87 (P3(a3,a4,a1)), % 58.62/58.87 inference(scs_inference,[],[1,279375,279256,279304,279169,279341,3,4,5,24,21,23,279315,279296,279352,279356,279358])). % 58.62/58.87 cnf(279392,plain, % 58.62/58.87 (~P3(a2,a4,a1)), % 58.62/58.87 inference(scs_inference,[],[1,279375,279256,279304,279169,279341,3,4,5,24,21,23,279315,279296,279352,279356,279358,279359])). % 58.62/58.87 cnf(279393,plain, % 58.62/58.87 (~P3(a2,a3,a1)), % 58.62/58.87 inference(scs_inference,[],[1,279375,279256,279304,279169,279341,15,3,4,5,24,21,23,279315,279296,279352,279356,279358,279359,18])). % 58.62/58.87 cnf(279402,plain, % 58.62/58.87 ($false), % 58.62/58.87 inference(scs_inference,[],[279392,279393,279391,279178,279350]), % 58.62/58.87 ['proof']). % 58.80/59.04 % SZS output end Proof % 58.80/59.04 % Total time :58.020000s %------------------------------------------------------------------------------