%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP124-1.004 : TPTP v8.2.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n022.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 06:38:48 EDT 2024 % Result : Unsatisfiable 59.01s 59.09s % Output : CNFRefutation 59.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : GRP124-1.004 : TPTP v8.2.0. Released v1.2.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Jun 20 10:17:54 EDT 2024 % 0.14/0.35 % CPUTime : % 0.49/0.60 start to proof:theBenchmark % 58.98/59.07 %------------------------------------------- % 58.98/59.07 % File :CSE---1.7 % 58.98/59.07 % Problem :theBenchmark % 58.98/59.07 % Transform :cnf % 58.98/59.07 % Format :tptp:raw % 58.98/59.07 % Command :java -jar mcs_scs.jar %d %s % 58.98/59.07 % 58.98/59.07 % Result :Theorem 58.370000s % 58.98/59.07 % Output :CNFRefutation 58.370000s % 58.98/59.07 %------------------------------------------- % 59.01/59.09 %-------------------------------------------------------------------------- % 59.01/59.09 % File : GRP124-1.004 : TPTP v8.2.0. Released v1.2.0. % 59.01/59.09 % Domain : Group Theory (Quasigroups) % 59.01/59.09 % Problem : (3,1,2) conjugate orthogonality % 59.01/59.09 % Version : [Sla93] axioms. % 59.01/59.09 % English : If ab=xy and a*b = x*y then a=x and b=y, where c*a=b iff ab=c. % 59.01/59.09 % Generate the multiplication table for the specified quasi- % 59.01/59.09 % group with 4 elements. % 59.01/59.09 % 59.01/59.09 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 59.01/59.09 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 59.01/59.09 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 59.01/59.09 % Source : [Sla93] % 59.01/59.09 % Names : QG2 [Sla93] % 59.01/59.09 % : QG2 [FSB93] % 59.01/59.09 % : QG2 [SFS95] % 59.01/59.09 % : Bennett QG2 [TPTP] % 59.01/59.09 % 59.01/59.09 % Status : Unsatisfiable % 59.01/59.09 % Rating : 0.00 v2.1.0 % 59.01/59.09 % Syntax : Number of clauses : 23 ( 17 unt; 1 nHn; 22 RR) % 59.01/59.09 % Number of literals : 42 ( 0 equ; 28 neg) % 59.01/59.09 % Maximal clause size : 6 ( 1 avg) % 59.01/59.09 % Maximal term depth : 1 ( 1 avg) % 59.01/59.09 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty) % 59.01/59.09 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty) % 59.01/59.09 % Number of variables : 27 ( 0 sgn) % 59.01/59.09 % SPC : CNF_UNS_EPR_NEQ_NHN % 59.01/59.09 % 59.01/59.09 % Comments : [SFS93]'s axiomatization has been modified for this. % 59.01/59.09 % : Substitution axioms are not needed, as any positive equality % 59.01/59.09 % literals should resolve on negative ones directly. % 59.01/59.09 % : As in GRP123-1, either one of qg2_1 or qg2_2 may be used, as % 59.01/59.09 % each implies the other in this scenario, with the help of % 59.01/59.09 % cancellation. The dependence cannot be proved, so both have % 59.01/59.09 % been left in here. % 59.01/59.09 % : tptp2X: -f tptp -s4 GRP124-1.g % 59.01/59.09 %-------------------------------------------------------------------------- % 59.01/59.09 cnf(element_1,axiom, % 59.01/59.09 group_element(e_1) ). % 59.01/59.09 % 59.01/59.09 cnf(element_2,axiom, % 59.01/59.09 group_element(e_2) ). % 59.01/59.09 % 59.01/59.09 cnf(element_3,axiom, % 59.01/59.09 group_element(e_3) ). % 59.01/59.09 % 59.01/59.09 cnf(element_4,axiom, % 59.01/59.09 group_element(e_4) ). % 59.01/59.09 % 59.01/59.09 cnf(e_1_is_not_e_2,axiom, % 59.01/59.09 ~ equalish(e_1,e_2) ). % 59.01/59.09 % 59.01/59.09 cnf(e_1_is_not_e_3,axiom, % 59.01/59.09 ~ equalish(e_1,e_3) ). % 59.01/59.09 % 59.01/59.09 cnf(e_1_is_not_e_4,axiom, % 59.01/59.09 ~ equalish(e_1,e_4) ). % 59.01/59.09 % 59.01/59.09 cnf(e_2_is_not_e_1,axiom, % 59.01/59.09 ~ equalish(e_2,e_1) ). % 59.01/59.09 % 59.01/59.09 cnf(e_2_is_not_e_3,axiom, % 59.01/59.09 ~ equalish(e_2,e_3) ). % 59.01/59.09 % 59.01/59.09 cnf(e_2_is_not_e_4,axiom, % 59.01/59.09 ~ equalish(e_2,e_4) ). % 59.01/59.09 % 59.01/59.09 cnf(e_3_is_not_e_1,axiom, % 59.01/59.09 ~ equalish(e_3,e_1) ). % 59.01/59.09 % 59.01/59.09 cnf(e_3_is_not_e_2,axiom, % 59.01/59.09 ~ equalish(e_3,e_2) ). % 59.01/59.09 % 59.01/59.09 cnf(e_3_is_not_e_4,axiom, % 59.01/59.09 ~ equalish(e_3,e_4) ). % 59.01/59.09 % 59.01/59.09 cnf(e_4_is_not_e_1,axiom, % 59.01/59.09 ~ equalish(e_4,e_1) ). % 59.01/59.09 % 59.01/59.09 cnf(e_4_is_not_e_2,axiom, % 59.01/59.09 ~ equalish(e_4,e_2) ). % 59.01/59.09 % 59.01/59.09 cnf(e_4_is_not_e_3,axiom, % 59.01/59.09 ~ equalish(e_4,e_3) ). % 59.01/59.09 % 59.01/59.09 cnf(product_total_function1,axiom, % 59.01/59.09 ( ~ group_element(X) % 59.01/59.09 | ~ group_element(Y) % 59.01/59.09 | product(X,Y,e_1) % 59.01/59.09 | product(X,Y,e_2) % 59.01/59.09 | product(X,Y,e_3) % 59.01/59.09 | product(X,Y,e_4) ) ). % 59.01/59.09 % 59.01/59.09 cnf(product_total_function2,axiom, % 59.01/59.09 ( ~ product(X,Y,W) % 59.01/59.09 | ~ product(X,Y,Z) % 59.01/59.09 | equalish(W,Z) ) ). % 59.01/59.09 % 59.01/59.09 cnf(product_right_cancellation,axiom, % 59.01/59.09 ( ~ product(X,W,Y) % 59.01/59.09 | ~ product(X,Z,Y) % 59.01/59.09 | equalish(W,Z) ) ). % 59.01/59.09 % 59.01/59.09 cnf(product_left_cancellation,axiom, % 59.01/59.09 ( ~ product(W,Y,X) % 59.01/59.09 | ~ product(Z,Y,X) % 59.01/59.09 | equalish(W,Z) ) ). % 59.01/59.09 % 59.01/59.09 cnf(product_idempotence,axiom, % 59.01/59.09 product(X,X,X) ). % 59.01/59.09 % 59.01/59.09 cnf(qg2_1,negated_conjecture, % 59.01/59.09 ( ~ product(X1,Y1,Z1) % 59.01/59.09 | ~ product(X2,Y2,Z1) % 59.01/59.09 | ~ product(Z2,X1,Y1) % 59.01/59.09 | ~ product(Z2,X2,Y2) % 59.01/59.09 | equalish(X1,X2) ) ). % 59.01/59.09 % 59.01/59.09 cnf(qg2_2,negated_conjecture, % 59.01/59.09 ( ~ product(X1,Y1,Z1) % 59.01/59.09 | ~ product(X2,Y2,Z1) % 59.01/59.09 | ~ product(Z2,X1,Y1) % 59.01/59.09 | ~ product(Z2,X2,Y2) % 59.01/59.09 | equalish(Y1,Y2) ) ). % 59.01/59.09 % 59.01/59.09 %-------------------------------------------------------------------------- % 59.01/59.09 %------------------------------------------- % 59.01/59.09 % Proof found % 59.01/59.09 % SZS status Theorem for theBenchmark % 59.01/59.09 % SZS output start Proof % 59.01/59.10 %ClaNum:23(EqnAxiom:0) % 59.01/59.10 %VarNum:65(SingletonVarNum:27) % 59.01/59.10 %MaxLitNum:6 % 59.01/59.10 %MaxfuncDepth:0 % 59.01/59.10 %SharedTerms:20 % 59.01/59.10 %goalClause: 22 23 % 59.01/59.10 [1]P1(a1) % 59.01/59.10 [2]P1(a2) % 59.01/59.10 [3]P1(a3) % 59.01/59.10 [4]P1(a4) % 59.01/59.10 [6]~P2(a1,a2) % 59.01/59.10 [7]~P2(a1,a3) % 59.01/59.10 [8]~P2(a1,a4) % 59.01/59.10 [9]~P2(a2,a1) % 59.01/59.10 [10]~P2(a2,a3) % 59.01/59.10 [11]~P2(a2,a4) % 59.01/59.10 [12]~P2(a3,a1) % 59.01/59.10 [13]~P2(a3,a2) % 59.01/59.10 [14]~P2(a3,a4) % 59.01/59.10 [15]~P2(a4,a1) % 59.01/59.10 [16]~P2(a4,a2) % 59.01/59.10 [17]~P2(a4,a3) % 59.01/59.10 [5]P3(x51,x51,x51) % 59.01/59.10 [18]~P3(x183,x184,x181)+P2(x181,x182)+~P3(x183,x184,x182) % 59.01/59.10 [19]~P3(x193,x191,x194)+P2(x191,x192)+~P3(x193,x192,x194) % 59.01/59.10 [20]~P3(x201,x203,x204)+P2(x201,x202)+~P3(x202,x203,x204) % 59.01/59.10 [22]~P3(x225,x221,x226)+P2(x221,x222)+~P3(x223,x224,x222)+~P3(x223,x225,x221)+~P3(x224,x222,x226) % 59.01/59.10 [23]~P3(x231,x235,x236)+P2(x231,x232)+~P3(x233,x232,x234)+~P3(x233,x231,x235)+~P3(x232,x234,x236) % 59.01/59.10 [21]~P1(x212)+~P1(x211)+P3(x211,x212,a2)+P3(x211,x212,a3)+P3(x211,x212,a4)+P3(x211,x212,a1) % 59.01/59.10 %EqnAxiom % 59.01/59.10 % 59.01/59.10 %------------------------------------------- % 59.10/59.21 cnf(150681,plain, % 59.10/59.21 (P3(x1506811,x1506811,x1506811)), % 59.10/59.21 inference(rename_variables,[],[5])). % 59.10/59.21 cnf(150684,plain, % 59.10/59.21 (P3(x1506841,x1506841,x1506841)), % 59.10/59.21 inference(rename_variables,[],[5])). % 59.10/59.21 cnf(150687,plain, % 59.10/59.21 (P3(x1506871,x1506871,x1506871)), % 59.10/59.21 inference(rename_variables,[],[5])). % 59.10/59.21 cnf(150691,plain, % 59.10/59.21 (~P3(a2,x1506911,a1)+~P3(a1,a2,x1506911)), % 59.10/59.21 inference(scs_inference,[],[6,5,150681,150684,150687,19,18,20,22,23])). % 59.10/59.21 cnf(150694,plain, % 59.10/59.21 (~P3(a2,a4,a1)+P3(a1,a2,a2)+P3(a1,a2,a3)), % 59.10/59.21 inference(scs_inference,[],[1,2,6,5,150681,150684,150687,19,18,20,22,23,21])). % 59.10/59.21 cnf(150695,plain, % 59.10/59.21 (~P3(a1,a3,a1)), % 59.10/59.21 inference(scs_inference,[],[7,5,19])). % 59.10/59.21 cnf(150696,plain, % 59.10/59.21 (P3(x1506961,x1506961,x1506961)), % 59.10/59.21 inference(rename_variables,[],[5])). % 59.10/59.21 cnf(150698,plain, % 59.16/59.21 (~P3(a3,a1,a1)), % 59.16/59.21 inference(scs_inference,[],[7,5,150696,19,20])). % 59.16/59.21 cnf(150709,plain, % 59.16/59.21 (~P3(a1,a4,a1)), % 59.16/59.21 inference(scs_inference,[],[8,5,19])). % 59.16/59.21 cnf(150710,plain, % 59.16/59.21 (P3(x1507101,x1507101,x1507101)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150713,plain, % 59.16/59.21 (P3(x1507131,x1507131,x1507131)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150715,plain, % 59.16/59.21 (~P3(a4,a1,a1)), % 59.16/59.21 inference(scs_inference,[],[8,5,150710,150713,19,18,20])). % 59.16/59.21 cnf(150716,plain, % 59.16/59.21 (P3(x1507161,x1507161,x1507161)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150720,plain, % 59.16/59.21 (~P3(a4,a1,x1507201)+~P3(a1,x1507201,a4)), % 59.16/59.21 inference(scs_inference,[],[8,5,150710,150713,150716,19,18,20,22,23])). % 59.16/59.21 cnf(150725,plain, % 59.16/59.21 (P3(x1507251,x1507251,x1507251)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150728,plain, % 59.16/59.21 (P3(x1507281,x1507281,x1507281)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150731,plain, % 59.16/59.21 (P3(x1507311,x1507311,x1507311)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150735,plain, % 59.16/59.21 (~P3(a2,a4,a1)+P3(a1,a2,a3)), % 59.16/59.21 inference(scs_inference,[],[9,5,150725,150728,150731,19,20,18,23,150694])). % 59.16/59.21 cnf(150736,plain, % 59.16/59.21 (~P3(x1507361,a1,a2)+~P3(a2,x1507361,a1)), % 59.16/59.21 inference(scs_inference,[],[9,5,150725,150728,150731,19,20,18,23,150694,22])). % 59.16/59.21 cnf(150740,plain, % 59.16/59.21 (~P3(a2,a3,a2)), % 59.16/59.21 inference(scs_inference,[],[10,5,19])). % 59.16/59.21 cnf(150741,plain, % 59.16/59.21 (P3(x1507411,x1507411,x1507411)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150744,plain, % 59.16/59.21 (P3(x1507441,x1507441,x1507441)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150746,plain, % 59.16/59.21 (~P3(a3,a2,a2)), % 59.16/59.21 inference(scs_inference,[],[10,5,150741,150744,19,18,20])). % 59.16/59.21 cnf(150756,plain, % 59.16/59.21 (~P3(a2,a4,a2)), % 59.16/59.21 inference(scs_inference,[],[11,5,19])). % 59.16/59.21 cnf(150757,plain, % 59.16/59.21 (P3(x1507571,x1507571,x1507571)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150759,plain, % 59.16/59.21 (~P3(a4,a2,a2)), % 59.16/59.21 inference(scs_inference,[],[11,5,150757,19,20])). % 59.16/59.21 cnf(150760,plain, % 59.16/59.21 (P3(x1507601,x1507601,x1507601)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150763,plain, % 59.16/59.21 (P3(x1507631,x1507631,x1507631)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150767,plain, % 59.16/59.21 (~P3(a4,a2,x1507671)+~P3(a2,x1507671,a4)), % 59.16/59.21 inference(scs_inference,[],[11,5,150757,150760,150763,19,20,18,22,23])). % 59.16/59.21 cnf(150771,plain, % 59.16/59.21 (~P3(a3,a1,a3)), % 59.16/59.21 inference(scs_inference,[],[12,5,19])). % 59.16/59.21 cnf(150772,plain, % 59.16/59.21 (P3(x1507721,x1507721,x1507721)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150775,plain, % 59.16/59.21 (P3(x1507751,x1507751,x1507751)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150777,plain, % 59.16/59.21 (~P3(a1,a3,a3)), % 59.16/59.21 inference(scs_inference,[],[12,5,150772,150775,19,18,20])). % 59.16/59.21 cnf(150778,plain, % 59.16/59.21 (P3(x1507781,x1507781,x1507781)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150782,plain, % 59.16/59.21 (~P3(a1,a3,x1507821)+~P3(a3,x1507821,a1)), % 59.16/59.21 inference(scs_inference,[],[12,5,150772,150775,150778,19,18,20,22,23])). % 59.16/59.21 cnf(150785,plain, % 59.16/59.21 (~P3(a3,a2,a3)), % 59.16/59.21 inference(scs_inference,[],[13,5,19])). % 59.16/59.21 cnf(150786,plain, % 59.16/59.21 (P3(x1507861,x1507861,x1507861)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150788,plain, % 59.16/59.21 (~P3(a2,a3,a3)), % 59.16/59.21 inference(scs_inference,[],[13,5,150786,19,20])). % 59.16/59.21 cnf(150804,plain, % 59.16/59.21 (P3(x1508041,x1508041,x1508041)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150807,plain, % 59.16/59.21 (P3(x1508071,x1508071,x1508071)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150809,plain, % 59.16/59.21 (~P3(a4,a3,a3)), % 59.16/59.21 inference(scs_inference,[],[14,5,150804,150807,19,18,20])). % 59.16/59.21 cnf(150810,plain, % 59.16/59.21 (P3(x1508101,x1508101,x1508101)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150814,plain, % 59.16/59.21 (~P3(x1508141,a4,a3)+~P3(a3,x1508141,a4)), % 59.16/59.21 inference(scs_inference,[],[14,5,150804,150807,150810,19,18,20,23,22])). % 59.16/59.21 cnf(150817,plain, % 59.16/59.21 (~P3(a4,a1,a4)), % 59.16/59.21 inference(scs_inference,[],[15,5,19])). % 59.16/59.21 cnf(150818,plain, % 59.16/59.21 (P3(x1508181,x1508181,x1508181)), % 59.16/59.21 inference(rename_variables,[],[5])). % 59.16/59.21 cnf(150820,plain, % 59.16/59.21 (~P3(a1,a4,a4)), % 59.16/59.21 inference(scs_inference,[],[15,5,150818,19,20])). % 59.16/59.21 cnf(150831,plain, % 59.16/59.21 (~P3(a4,a2,a4)), % 59.16/59.21 inference(scs_inference,[],[16,5,19])). % 59.16/59.22 cnf(150832,plain, % 59.16/59.22 (P3(x1508321,x1508321,x1508321)), % 59.16/59.22 inference(rename_variables,[],[5])). % 59.16/59.22 cnf(150835,plain, % 59.16/59.22 (P3(x1508351,x1508351,x1508351)), % 59.16/59.22 inference(rename_variables,[],[5])). % 59.16/59.22 cnf(150837,plain, % 59.16/59.22 (~P3(a2,a4,a4)), % 59.16/59.22 inference(scs_inference,[],[16,5,150832,150835,19,18,20])). % 59.16/59.22 cnf(150838,plain, % 59.16/59.22 (P3(x1508381,x1508381,x1508381)), % 59.16/59.22 inference(rename_variables,[],[5])). % 59.16/59.22 cnf(150842,plain, % 59.16/59.22 (~P3(a2,a4,x1508421)+~P3(a4,x1508421,a2)), % 59.16/59.22 inference(scs_inference,[],[16,5,150832,150835,150838,19,18,20,22,23])). % 59.16/59.22 cnf(150850,plain, % 59.16/59.22 (~P3(a4,a3,a4)), % 59.16/59.22 inference(scs_inference,[],[17,5,19])). % 59.16/59.22 cnf(150871,plain, % 59.16/59.22 (~P3(x1508711,a2,a1)+~P3(a1,x1508711,a2)), % 59.16/59.22 inference(scs_inference,[],[6,5,23,22])). % 59.16/59.22 cnf(150888,plain, % 59.16/59.22 (~P3(a2,a3,a1)+P3(a3,a1,a4)), % 59.16/59.22 inference(scs_inference,[],[1,150698,150771,3,13,5,22,23,21])). % 59.16/59.22 cnf(150897,plain, % 59.16/59.22 (~P3(a4,a3,x1508971)+~P3(a3,x1508971,a4)), % 59.16/59.22 inference(scs_inference,[],[14,5,23])). % 59.16/59.22 cnf(150923,plain, % 59.16/59.22 (P3(a4,a3,a1)+P3(a4,a3,a2)), % 59.16/59.22 inference(scs_inference,[],[150809,150850,3,4,5,23,21])). % 59.16/59.22 cnf(150948,plain, % 59.16/59.22 (P3(a1,a3,a2)+~P3(a4,a1,a3)), % 59.16/59.22 inference(scs_inference,[],[1,150695,150777,3,5,22,21,150720])). % 59.16/59.22 cnf(150972,plain, % 59.16/59.22 (P3(a4,a1,a2)+~P3(a3,a2,a1)), % 59.16/59.22 inference(scs_inference,[],[1,150715,150817,4,5,23,21,150948,150782])). % 59.16/59.22 cnf(151003,plain, % 59.16/59.22 (~P3(a2,a4,a3)+P3(a4,a3,a1)), % 59.16/59.22 inference(scs_inference,[],[13,5,23,22,150923])). % 59.16/59.22 cnf(151018,plain, % 59.16/59.22 (~P3(a4,x1510181,a2)+~P3(x1510181,a2,a4)), % 59.16/59.22 inference(scs_inference,[],[11,5,23,22])). % 59.16/59.22 cnf(151022,plain, % 59.16/59.22 (P3(a1,a4,a3)+P3(a1,a4,a2)), % 59.16/59.22 inference(scs_inference,[],[1,150709,150820,11,4,5,23,22,21])). % 59.16/59.22 cnf(151033,plain, % 59.16/59.22 (~P3(a1,a4,a3)+P3(a4,a3,a2)), % 59.16/59.22 inference(scs_inference,[],[150809,150850,15,3,4,5,22,23,21])). % 59.16/59.22 cnf(151035,plain, % 59.16/59.22 (~P3(a1,a4,a3)+~P3(a2,a4,a3)), % 59.16/59.22 inference(scs_inference,[],[150809,150850,15,3,4,5,22,23,21,150842])). % 59.16/59.22 cnf(151046,plain, % 59.16/59.22 (P3(a3,a2,a1)+P3(a3,a2,a4)), % 59.16/59.22 inference(scs_inference,[],[150785,150746,2,3,5,23,21])). % 59.16/59.22 cnf(151061,plain, % 59.16/59.22 (~P3(a4,a3,a1)+~P3(a2,a3,a1)), % 59.16/59.22 inference(scs_inference,[],[8,5,23,22,150888])). % 59.16/59.22 cnf(151071,plain, % 59.16/59.22 (~P3(a2,a3,a1)+~P3(a1,a4,a3)), % 59.16/59.22 inference(scs_inference,[],[150814,150888])). % 59.16/59.22 cnf(151085,plain, % 59.16/59.22 (~P3(a4,a3,a1)+P3(a4,a2,a3)), % 59.16/59.22 inference(scs_inference,[],[2,150759,150831,9,4,21,150871,151022,151033,151035,151071,151018,150767,18])). % 59.16/59.22 cnf(151123,plain, % 59.16/59.22 (~P3(a4,a2,a3)+~P3(a4,a3,a1)), % 59.16/59.22 inference(scs_inference,[],[3,150740,150788,14,2,5,22,21,150691,150736,150735,151061])). % 59.16/59.22 cnf(151143,plain, % 59.16/59.22 (P3(a2,a4,a1)+P3(a2,a4,a3)), % 59.16/59.22 inference(scs_inference,[],[150837,150756,4,2,21])). % 59.16/59.22 cnf(151161,plain, % 59.16/59.22 (~P3(a3,a2,a1)+~P3(a2,a4,a1)), % 59.16/59.22 inference(scs_inference,[],[150972,150736])). % 59.16/59.22 cnf(151176,plain, % 59.16/59.22 (P3(a4,a3,a1)+P3(a2,a4,a1)), % 59.16/59.22 inference(scs_inference,[],[151003,151143])). % 59.16/59.22 cnf(151207,plain, % 59.16/59.22 (P3(a3,a2,a1)+~P3(a4,a3,a2)), % 59.16/59.22 inference(scs_inference,[],[151046,150897])). % 59.16/59.22 cnf(151238,plain, % 59.16/59.22 (~P3(a4,a3,a1)), % 59.16/59.22 inference(scs_inference,[],[151085,151123])). % 59.16/59.22 cnf(151239,plain, % 59.16/59.22 (P3(a4,a3,a2)), % 59.16/59.22 inference(scs_inference,[],[151238,150923])). % 59.16/59.22 cnf(151241,plain, % 59.16/59.22 (P3(a2,a4,a1)), % 59.16/59.22 inference(scs_inference,[],[151238,151176])). % 59.16/59.22 cnf(151256,plain, % 59.16/59.22 (~P3(a3,a2,a1)), % 59.16/59.22 inference(scs_inference,[],[151241,151161])). % 59.16/59.22 cnf(151259,plain, % 59.16/59.22 (P3(a3,a2,a1)), % 59.16/59.22 inference(scs_inference,[],[151239,151207])). % 59.16/59.22 cnf(151261,plain, % 59.16/59.22 ($false), % 59.16/59.22 inference(scs_inference,[],[151259,151256]), % 59.16/59.22 ['proof']). % 59.24/59.31 % SZS output end Proof % 59.24/59.31 % Total time :58.370000s %------------------------------------------------------------------------------