%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP124-9.004 : TPTP v8.2.0. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n018.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 06:38:50 EDT 2024 % Result : Unsatisfiable 59.36s 59.41s % Output : CNFRefutation 59.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP124-9.004 : TPTP v8.2.0. Bugfixed v1.2.1. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n018.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Jun 20 08:15:24 EDT 2024 % 0.13/0.34 % CPUTime : % 0.52/0.56 start to proof:theBenchmark % 59.36/59.39 %------------------------------------------- % 59.36/59.39 % File :CSE---1.7 % 59.36/59.39 % Problem :theBenchmark % 59.36/59.39 % Transform :cnf % 59.36/59.39 % Format :tptp:raw % 59.36/59.39 % Command :java -jar mcs_scs.jar %d %s % 59.36/59.39 % 59.36/59.39 % Result :Theorem 58.790000s % 59.36/59.39 % Output :CNFRefutation 58.790000s % 59.36/59.39 %------------------------------------------- % 59.36/59.40 %-------------------------------------------------------------------------- % 59.36/59.40 % File : GRP124-9.004 : TPTP v8.2.0. Bugfixed v1.2.1. % 59.36/59.40 % Domain : Group Theory (Quasigroups) % 59.36/59.40 % Problem : (3,1,2) conjugate orthogonality % 59.36/59.40 % Version : [Sla93] axioms : Augmented. % 59.36/59.40 % Theorem formulation : Uses a second group. % 59.36/59.40 % English : If ab=xy and a*b = x*y then a=x and b=y, where c*a=b iff ab=c. % 59.36/59.40 % Generate the multiplication table for the specified quasi- % 59.36/59.40 % group with 4 elements. % 59.36/59.40 % 59.36/59.40 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 59.36/59.40 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 59.36/59.40 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 59.36/59.40 % Source : [TPTP] % 59.36/59.40 % Names : % 59.36/59.40 % 59.36/59.40 % Status : Unsatisfiable % 59.36/59.40 % Rating : 0.00 v2.1.0 % 59.36/59.40 % Syntax : Number of clauses : 29 ( 18 unt; 4 nHn; 27 RR) % 59.36/59.40 % Number of literals : 63 ( 0 equ; 34 neg) % 59.36/59.40 % Maximal clause size : 6 ( 2 avg) % 59.36/59.40 % Maximal term depth : 1 ( 1 avg) % 59.36/59.40 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty) % 59.36/59.40 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty) % 59.36/59.40 % Number of variables : 38 ( 0 sgn) % 59.36/59.40 % SPC : CNF_UNS_EPR_NEQ_NHN % 59.36/59.40 % 59.36/59.40 % Comments : [SFS93]'s axiomatization has been modified for this. % 59.36/59.40 % : Substitution axioms are not needed, as any positive equality % 59.36/59.40 % literals should resolve on negative ones directly. % 59.36/59.40 % : Version 9 has surjectivity and rotation % 59.36/59.40 % : tptp2X: -f tptp -s4 GRP124-9.g % 59.36/59.40 % Bugfixes : v1.2.1 - Clauses row_surjectivity and column_surjectivity fixed. % 59.36/59.40 %-------------------------------------------------------------------------- % 59.36/59.40 cnf(row_surjectivity,axiom, % 59.36/59.40 ( ~ group_element(X) % 59.36/59.40 | ~ group_element(Y) % 59.36/59.40 | product(e_1,X,Y) % 59.36/59.40 | product(e_2,X,Y) % 59.36/59.40 | product(e_3,X,Y) % 59.36/59.40 | product(e_4,X,Y) ) ). % 59.36/59.40 % 59.36/59.40 cnf(column_surjectivity,axiom, % 59.36/59.40 ( ~ group_element(X) % 59.36/59.40 | ~ group_element(Y) % 59.36/59.40 | product(X,e_1,Y) % 59.36/59.40 | product(X,e_2,Y) % 59.36/59.40 | product(X,e_3,Y) % 59.36/59.40 | product(X,e_4,Y) ) ). % 59.36/59.40 % 59.36/59.40 cnf(element_1,axiom, % 59.36/59.40 group_element(e_1) ). % 59.36/59.40 % 59.36/59.40 cnf(element_2,axiom, % 59.36/59.40 group_element(e_2) ). % 59.36/59.40 % 59.36/59.40 cnf(element_3,axiom, % 59.36/59.40 group_element(e_3) ). % 59.36/59.40 % 59.36/59.40 cnf(element_4,axiom, % 59.36/59.40 group_element(e_4) ). % 59.36/59.40 % 59.36/59.40 cnf(e_1_is_not_e_2,axiom, % 59.36/59.40 ~ equalish(e_1,e_2) ). % 59.36/59.40 % 59.36/59.40 cnf(e_1_is_not_e_3,axiom, % 59.36/59.40 ~ equalish(e_1,e_3) ). % 59.36/59.40 % 59.36/59.40 cnf(e_1_is_not_e_4,axiom, % 59.36/59.40 ~ equalish(e_1,e_4) ). % 59.36/59.40 % 59.36/59.40 cnf(e_2_is_not_e_1,axiom, % 59.36/59.40 ~ equalish(e_2,e_1) ). % 59.36/59.40 % 59.36/59.40 cnf(e_2_is_not_e_3,axiom, % 59.36/59.40 ~ equalish(e_2,e_3) ). % 59.36/59.40 % 59.36/59.40 cnf(e_2_is_not_e_4,axiom, % 59.36/59.40 ~ equalish(e_2,e_4) ). % 59.36/59.40 % 59.36/59.40 cnf(e_3_is_not_e_1,axiom, % 59.36/59.40 ~ equalish(e_3,e_1) ). % 59.36/59.40 % 59.36/59.40 cnf(e_3_is_not_e_2,axiom, % 59.36/59.40 ~ equalish(e_3,e_2) ). % 59.36/59.40 % 59.36/59.40 cnf(e_3_is_not_e_4,axiom, % 59.36/59.40 ~ equalish(e_3,e_4) ). % 59.36/59.40 % 59.36/59.40 cnf(e_4_is_not_e_1,axiom, % 59.36/59.40 ~ equalish(e_4,e_1) ). % 59.36/59.40 % 59.36/59.40 cnf(e_4_is_not_e_2,axiom, % 59.36/59.40 ~ equalish(e_4,e_2) ). % 59.36/59.40 % 59.36/59.40 cnf(e_4_is_not_e_3,axiom, % 59.36/59.40 ~ equalish(e_4,e_3) ). % 59.36/59.40 % 59.36/59.40 cnf(product1_total_function1,axiom, % 59.36/59.40 ( ~ group_element(X) % 59.36/59.40 | ~ group_element(Y) % 59.36/59.40 | product1(X,Y,e_1) % 59.36/59.40 | product1(X,Y,e_2) % 59.36/59.40 | product1(X,Y,e_3) % 59.36/59.40 | product1(X,Y,e_4) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product1_total_function2,axiom, % 59.36/59.41 ( ~ product1(X,Y,W) % 59.36/59.41 | ~ product1(X,Y,Z) % 59.36/59.41 | equalish(W,Z) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product1_right_cancellation,axiom, % 59.36/59.41 ( ~ product1(X,W,Y) % 59.36/59.41 | ~ product1(X,Z,Y) % 59.36/59.41 | equalish(W,Z) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product1_left_cancellation,axiom, % 59.36/59.41 ( ~ product1(W,Y,X) % 59.36/59.41 | ~ product1(Z,Y,X) % 59.36/59.41 | equalish(W,Z) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product1_idempotence,axiom, % 59.36/59.41 product1(X,X,X) ). % 59.36/59.41 % 59.36/59.41 cnf(product2_total_function1,axiom, % 59.36/59.41 ( ~ group_element(X) % 59.36/59.41 | ~ group_element(Y) % 59.36/59.41 | product2(X,Y,e_1) % 59.36/59.41 | product2(X,Y,e_2) % 59.36/59.41 | product2(X,Y,e_3) % 59.36/59.41 | product2(X,Y,e_4) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product2_total_function2,axiom, % 59.36/59.41 ( ~ product2(X,Y,W) % 59.36/59.41 | ~ product2(X,Y,Z) % 59.36/59.41 | equalish(W,Z) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product2_right_cancellation,axiom, % 59.36/59.41 ( ~ product2(X,W,Y) % 59.36/59.41 | ~ product2(X,Z,Y) % 59.36/59.41 | equalish(W,Z) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product2_left_cancellation,axiom, % 59.36/59.41 ( ~ product2(W,Y,X) % 59.36/59.41 | ~ product2(Z,Y,X) % 59.36/59.41 | equalish(W,Z) ) ). % 59.36/59.41 % 59.36/59.41 cnf(product2_idempotence,axiom, % 59.36/59.41 product2(X,X,X) ). % 59.36/59.41 % 59.36/59.41 cnf(qg2a,negated_conjecture, % 59.36/59.41 ( ~ product1(X,Y,Z1) % 59.36/59.41 | ~ product1(Z1,X,Z2) % 59.36/59.41 | product2(Z2,Y,X) ) ). % 59.36/59.41 % 59.36/59.41 %-------------------------------------------------------------------------- % 59.36/59.41 %------------------------------------------- % 59.36/59.41 % Proof found % 59.36/59.41 % SZS status Theorem for theBenchmark % 59.36/59.41 % SZS output start Proof % 59.36/59.41 %ClaNum:29(EqnAxiom:0) % 59.36/59.41 %VarNum:103(SingletonVarNum:38) % 59.36/59.41 %MaxLitNum:6 % 59.36/59.41 %MaxfuncDepth:0 % 59.36/59.41 %SharedTerms:20 % 59.36/59.41 %goalClause: 25 % 59.36/59.41 [1]P1(a1) % 59.36/59.41 [2]P1(a2) % 59.36/59.41 [3]P1(a3) % 59.36/59.41 [4]P1(a4) % 59.36/59.41 [7]~P2(a1,a2) % 59.36/59.41 [8]~P2(a1,a3) % 59.36/59.41 [9]~P2(a1,a4) % 59.36/59.41 [10]~P2(a2,a1) % 59.36/59.41 [11]~P2(a2,a3) % 59.36/59.41 [12]~P2(a2,a4) % 59.36/59.41 [13]~P2(a3,a1) % 59.36/59.41 [14]~P2(a3,a2) % 59.36/59.41 [15]~P2(a3,a4) % 59.36/59.41 [16]~P2(a4,a1) % 59.36/59.41 [17]~P2(a4,a2) % 59.36/59.41 [18]~P2(a4,a3) % 59.36/59.41 [5]P3(x51,x51,x51) % 59.36/59.41 [6]P5(x61,x61,x61) % 59.36/59.41 [19]~P3(x193,x194,x191)+P2(x191,x192)+~P3(x193,x194,x192) % 59.36/59.41 [20]~P5(x203,x204,x201)+P2(x201,x202)+~P5(x203,x204,x202) % 59.36/59.41 [21]~P3(x213,x211,x214)+P2(x211,x212)+~P3(x213,x212,x214) % 59.36/59.41 [22]~P5(x223,x221,x224)+P2(x221,x222)+~P5(x223,x222,x224) % 59.36/59.41 [23]~P3(x231,x233,x234)+P2(x231,x232)+~P3(x232,x233,x234) % 59.36/59.41 [24]~P5(x241,x243,x244)+P2(x241,x242)+~P5(x242,x243,x244) % 59.36/59.41 [25]~P3(x253,x252,x254)+P5(x251,x252,x253)+~P3(x254,x253,x251) % 59.36/59.41 [26]~P1(x262)+~P1(x261)+P3(x261,x262,a2)+P3(x261,x262,a3)+P3(x261,x262,a4)+P3(x261,x262,a1) % 59.36/59.41 [27]~P1(x272)+~P1(x271)+P5(x271,x272,a2)+P5(x271,x272,a3)+P5(x271,x272,a4)+P5(x271,x272,a1) % 59.36/59.41 [28]~P1(x282)+~P1(x281)+P4(x281,a2,x282)+P4(x281,a3,x282)+P4(x281,a4,x282)+P4(x281,a1,x282) % 59.36/59.41 [29]~P1(x292)+~P1(x291)+P4(a2,x291,x292)+P4(a3,x291,x292)+P4(a4,x291,x292)+P4(a1,x291,x292) % 59.36/59.41 %EqnAxiom % 59.36/59.41 % 59.36/59.41 %------------------------------------------- % 59.47/59.48 cnf(123,plain, % 59.47/59.48 (~P3(x1231,a2,a1)+~P3(a2,a1,x1231)), % 59.47/59.48 inference(scs_inference,[],[6,7,20,25])). % 59.47/59.48 cnf(306,plain, % 59.47/59.48 (~P3(x3061,a1,a2)+~P3(a1,a2,x3061)), % 59.47/59.48 inference(scs_inference,[],[10,6,20,25])). % 59.47/59.48 cnf(367,plain, % 59.47/59.48 (~P3(x3671,a2,a3)+~P3(a2,a3,x3671)), % 59.47/59.48 inference(scs_inference,[],[11,6,20,25])). % 59.47/59.48 cnf(428,plain, % 59.47/59.48 (~P3(x4281,a2,a4)+~P3(a2,a4,x4281)), % 59.47/59.48 inference(scs_inference,[],[12,6,20,25])). % 59.47/59.48 cnf(489,plain, % 59.47/59.48 (~P3(x4891,a3,a1)+~P3(a3,a1,x4891)), % 59.47/59.48 inference(scs_inference,[],[13,6,20,25])). % 59.47/59.48 cnf(550,plain, % 59.47/59.48 (~P3(x5501,a3,a2)+~P3(a3,a2,x5501)), % 59.47/59.48 inference(scs_inference,[],[14,6,20,25])). % 59.47/59.48 cnf(611,plain, % 59.47/59.48 (~P3(x6111,a4,a3)+~P3(a4,a3,x6111)), % 59.47/59.48 inference(scs_inference,[],[15,6,20,25])). % 59.47/59.48 cnf(672,plain, % 59.47/59.48 (~P3(x6721,a1,a4)+~P3(a1,a4,x6721)), % 59.47/59.48 inference(scs_inference,[],[16,6,20,25])). % 59.47/59.48 cnf(885,plain, % 59.47/59.48 (P3(a2,a1,a3)+P3(a2,a1,a4)+P3(a2,a1,a1)), % 59.47/59.48 inference(scs_inference,[],[5,10,1,2,21,26])). % 59.47/59.48 cnf(1130,plain, % 59.47/59.48 (~P3(a2,a4,a3)+P3(a2,a1,a4)+P3(a2,a1,a1)), % 59.47/59.48 inference(scs_inference,[],[16,21,885])). % 59.47/59.48 cnf(4759,plain, % 59.47/59.48 (~P3(a2,a3,a2)), % 59.47/59.48 inference(scs_inference,[],[6,11,5,22,25])). % 59.47/59.48 cnf(4762,plain, % 59.47/59.48 (P3(a2,a3,a4)+P3(a2,a3,a1)+P3(a2,a3,a3)), % 59.47/59.48 inference(scs_inference,[],[3,4759,2,6,20,26])). % 59.47/59.48 cnf(4805,plain, % 59.47/59.48 (P3(a2,a3,a1)+P3(a2,a3,a3)+~P3(a4,a2,a3)), % 59.47/59.48 inference(scs_inference,[],[4762,367])). % 59.47/59.48 cnf(4851,plain, % 59.47/59.48 (P3(a2,a3,a3)+~P3(a3,a1,a2)+~P3(a4,a2,a3)), % 59.47/59.48 inference(scs_inference,[],[4805,489])). % 59.47/59.48 cnf(4988,plain, % 59.47/59.48 (~P3(a4,a2,a4)), % 59.47/59.48 inference(scs_inference,[],[12,6,5,22,25])). % 59.47/59.48 cnf(5034,plain, % 59.47/59.48 (~P3(a3,a2,a3)), % 59.47/59.48 inference(scs_inference,[],[14,6,5,22,25])). % 59.47/59.48 cnf(5080,plain, % 59.47/59.48 (~P3(a4,a3,a4)), % 59.47/59.48 inference(scs_inference,[],[15,6,5,22,25])). % 59.47/59.48 cnf(5126,plain, % 59.47/59.48 (~P3(a2,a4,a2)), % 59.47/59.48 inference(scs_inference,[],[17,6,5,22,25])). % 59.47/59.48 cnf(5129,plain, % 59.47/59.48 (P3(a2,a4,a4)+P3(a2,a4,a1)+P3(a2,a4,a3)), % 59.47/59.48 inference(scs_inference,[],[4,5126,2,6,20,26])). % 59.47/59.48 cnf(5309,plain, % 59.47/59.48 (P3(a3,a2,a4)+P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[5,11,5034,2,3,23,26])). % 59.47/59.48 cnf(5493,plain, % 59.47/59.48 (~P3(a2,a1,a3)+P3(a3,a2,a4)), % 59.47/59.48 inference(scs_inference,[],[5309,123])). % 59.47/59.48 cnf(5539,plain, % 59.47/59.48 (P3(a3,a2,a4)+P3(a2,a1,a4)+P3(a2,a1,a1)), % 59.47/59.48 inference(scs_inference,[],[5493,885])). % 59.47/59.48 cnf(5631,plain, % 59.47/59.48 (~P3(a4,a3,a2)+P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[5309,550])). % 59.47/59.48 cnf(5677,plain, % 59.47/59.48 (P3(a4,a3,a3)+P3(a4,a3,a1)+P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[5080,3,4,5631,26])). % 59.47/59.48 cnf(142620,plain, % 59.47/59.48 (P5(x1426201,x1426201,x1426201)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142623,plain, % 59.47/59.48 (P5(x1426231,x1426231,x1426231)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142629,plain, % 59.47/59.48 (P3(x1426291,x1426291,x1426291)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142632,plain, % 59.47/59.48 (P3(x1426321,x1426321,x1426321)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142634,plain, % 59.47/59.48 (~P3(a3,a1,a3)), % 59.47/59.48 inference(scs_inference,[],[12,8,6,142620,142623,5,142629,142632,20,24,22,19,23,21])). % 59.47/59.48 cnf(142639,plain, % 59.47/59.48 (P3(a4,a2,a3)+~P3(a2,a1,a4)), % 59.47/59.48 inference(scs_inference,[],[4988,12,8,6,142620,142623,5,142629,142632,2,4,20,24,22,19,23,21,26,123])). % 59.47/59.48 cnf(142643,plain, % 59.47/59.48 (P5(x1426431,x1426431,x1426431)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142646,plain, % 59.47/59.48 (P5(x1426461,x1426461,x1426461)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142652,plain, % 59.47/59.48 (P3(x1426521,x1426521,x1426521)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142657,plain, % 59.47/59.48 (~P3(a4,a2,a3)+~P3(a3,a1,a2)), % 59.47/59.48 inference(scs_inference,[],[14,6,142643,142646,5,142652,22,24,20,23,19,4851])). % 59.47/59.48 cnf(142662,plain, % 59.47/59.48 (P5(x1426621,x1426621,x1426621)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142665,plain, % 59.47/59.48 (P5(x1426651,x1426651,x1426651)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142671,plain, % 59.47/59.48 (P3(x1426711,x1426711,x1426711)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142673,plain, % 59.47/59.48 (~P3(a4,a3,a3)), % 59.47/59.48 inference(scs_inference,[],[15,6,142662,142665,5,142671,24,20,22,19,23])). % 59.47/59.48 cnf(142676,plain, % 59.47/59.48 (P3(a4,a3,a1)+P3(a4,a3,a2)), % 59.47/59.48 inference(scs_inference,[],[5080,15,6,142662,142665,5,142671,4,3,24,20,22,19,23,26])). % 59.47/59.48 cnf(142681,plain, % 59.47/59.48 (P3(a4,a3,a1)+P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[142673,5677])). % 59.47/59.48 cnf(142683,plain, % 59.47/59.48 (P5(x1426831,x1426831,x1426831)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142686,plain, % 59.47/59.48 (P5(x1426861,x1426861,x1426861)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142691,plain, % 59.47/59.48 (~P3(a2,a4,a4)), % 59.47/59.48 inference(scs_inference,[],[17,6,142683,142686,5,20,22,24,23])). % 59.47/59.48 cnf(142698,plain, % 59.47/59.48 (P3(a2,a4,a1)+P3(a2,a4,a3)), % 59.47/59.48 inference(scs_inference,[],[142691,5129])). % 59.47/59.48 cnf(142742,plain, % 59.47/59.48 (P3(x1427421,x1427421,x1427421)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142744,plain, % 59.47/59.48 (~P3(a1,a4,a4)), % 59.47/59.48 inference(scs_inference,[],[16,6,5,142742,20,19,23])). % 59.47/59.48 cnf(142756,plain, % 59.47/59.48 (~P3(a2,a1,a1)), % 59.47/59.48 inference(scs_inference,[],[7,5,23])). % 59.47/59.48 cnf(142757,plain, % 59.47/59.48 (P3(x1427571,x1427571,x1427571)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142762,plain, % 59.47/59.48 (P3(a2,a1,a4)+P3(a3,a2,a4)), % 59.47/59.48 inference(scs_inference,[],[7,5,142757,23,19,5539])). % 59.47/59.48 cnf(142768,plain, % 59.47/59.48 (P3(a2,a1,a4)+P3(a2,a1,a3)), % 59.47/59.48 inference(scs_inference,[],[142756,885])). % 59.47/59.48 cnf(142770,plain, % 59.47/59.48 (~P3(a2,a4,a3)+P3(a2,a1,a4)), % 59.47/59.48 inference(scs_inference,[],[142756,1130])). % 59.47/59.48 cnf(142773,plain, % 59.47/59.48 (P3(x1427731,x1427731,x1427731)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142775,plain, % 59.47/59.48 (~P3(a3,a1,a1)), % 59.47/59.48 inference(scs_inference,[],[8,5,142773,19,23])). % 59.47/59.48 cnf(142776,plain, % 59.47/59.48 (P3(x1427761,x1427761,x1427761)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142778,plain, % 59.47/59.48 (~P3(a1,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[8,10,5,142773,142776,19,23,21])). % 59.47/59.48 cnf(142789,plain, % 59.47/59.48 (P5(x1427891,x1427891,x1427891)), % 59.47/59.48 inference(rename_variables,[],[6])). % 59.47/59.48 cnf(142791,plain, % 59.47/59.48 (~P5(a1,a4,a1)), % 59.47/59.48 inference(scs_inference,[],[9,6,142789,24,22])). % 59.47/59.48 cnf(142817,plain, % 59.47/59.48 (~P3(a1,a2,a2)), % 59.47/59.48 inference(scs_inference,[],[10,5,23])). % 59.47/59.48 cnf(142818,plain, % 59.47/59.48 (P3(x1428181,x1428181,x1428181)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142821,plain, % 59.47/59.48 (P3(x1428211,x1428211,x1428211)), % 59.47/59.48 inference(rename_variables,[],[5])). % 59.47/59.48 cnf(142826,plain, % 59.47/59.48 (P3(a1,a4,a3)+P3(a1,a4,a2)), % 59.47/59.48 inference(scs_inference,[],[1,142744,142791,10,5,142818,142821,4,23,19,25,26])). % 59.47/59.48 cnf(142851,plain, % 59.47/59.48 (P3(a3,a1,a4)+P3(a3,a1,a2)), % 59.47/59.48 inference(scs_inference,[],[1,142775,142634,8,6,3,20,26])). % 59.47/59.48 cnf(142897,plain, % 59.47/59.48 (P3(a1,a2,a4)+P3(a1,a2,a3)), % 59.47/59.48 inference(scs_inference,[],[1,142817,142778,2,26])). % 59.47/59.48 cnf(142912,plain, % 59.47/59.48 (~P3(a3,a1,a2)+~P3(a2,a1,a4)), % 59.47/59.48 inference(scs_inference,[],[142657,142639])). % 59.47/59.48 cnf(142931,plain, % 59.47/59.48 (P3(a2,a4,a3)+~P3(a1,a2,a4)), % 59.47/59.48 inference(scs_inference,[],[142698,428])). % 59.47/59.48 cnf(142937,plain, % 59.47/59.48 (P3(a2,a1,a4)+~P3(a4,a3,a2)), % 59.47/59.48 inference(scs_inference,[],[142762,550])). % 59.47/59.48 cnf(142941,plain, % 59.47/59.48 (P3(a2,a1,a4)+~P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[142768,123])). % 59.47/59.48 cnf(142943,plain, % 59.47/59.48 (P3(a2,a1,a4)+~P3(a1,a2,a4)), % 59.47/59.48 inference(scs_inference,[],[142770,142931])). % 59.47/59.48 cnf(142951,plain, % 59.47/59.48 (P3(a1,a4,a3)+~P3(a2,a1,a4)), % 59.47/59.48 inference(scs_inference,[],[142826,672])). % 59.47/59.48 cnf(142956,plain, % 59.47/59.48 (P3(a3,a1,a4)+~P3(a1,a2,a3)), % 59.47/59.48 inference(scs_inference,[],[142851,306])). % 59.47/59.48 cnf(142972,plain, % 59.47/59.48 (P3(a4,a3,a1)+P3(a2,a1,a4)), % 59.47/59.48 inference(scs_inference,[],[142937,142676])). % 59.47/59.48 cnf(142975,plain, % 59.47/59.48 (~P3(a1,a4,a2)+~P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[142941,672])). % 59.47/59.48 cnf(142985,plain, % 59.47/59.48 (~P3(a1,a2,a3)+~P3(a4,a3,a1)), % 59.47/59.48 inference(scs_inference,[],[142956,489])). % 59.47/59.48 cnf(142996,plain, % 59.47/59.48 (P3(a2,a1,a4)+~P3(a1,a4,a3)), % 59.47/59.48 inference(scs_inference,[],[142972,611])). % 59.47/59.48 cnf(142999,plain, % 59.47/59.48 (P3(a1,a4,a3)+~P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[142975,142826])). % 59.47/59.48 cnf(143008,plain, % 59.47/59.48 (P3(a1,a2,a4)+~P3(a4,a3,a1)), % 59.47/59.48 inference(scs_inference,[],[142985,142897])). % 59.47/59.48 cnf(143017,plain, % 59.47/59.48 (~P3(a1,a4,a3)+~P3(a3,a1,a2)), % 59.47/59.48 inference(scs_inference,[],[142996,142912])). % 59.47/59.48 cnf(143028,plain, % 59.47/59.48 (P3(a2,a1,a4)+~P3(a4,a3,a1)), % 59.47/59.48 inference(scs_inference,[],[143008,142943])). % 59.47/59.48 cnf(143035,plain, % 59.47/59.48 (P3(a3,a1,a4)+~P3(a1,a4,a3)), % 59.47/59.48 inference(scs_inference,[],[143017,142851])). % 59.47/59.48 cnf(143051,plain, % 59.47/59.48 (~P3(a1,a4,a3)), % 59.47/59.48 inference(scs_inference,[],[143035,672])). % 59.47/59.48 cnf(143053,plain, % 59.47/59.48 (~P3(a2,a1,a4)), % 59.47/59.48 inference(scs_inference,[],[143051,142951])). % 59.47/59.48 cnf(143054,plain, % 59.47/59.48 (~P3(a3,a2,a1)), % 59.47/59.48 inference(scs_inference,[],[143051,142999])). % 59.47/59.48 cnf(143062,plain, % 59.47/59.48 (P3(a4,a3,a1)), % 59.47/59.48 inference(scs_inference,[],[143054,142681])). % 59.47/59.48 cnf(143080,plain, % 59.47/59.48 (~P3(a4,a3,a1)), % 59.47/59.48 inference(scs_inference,[],[143053,143028])). % 59.47/59.48 cnf(143084,plain, % 59.47/59.48 ($false), % 59.47/59.48 inference(scs_inference,[],[143062,143080]), % 59.47/59.48 ['proof']). % 59.55/59.53 % SZS output end Proof % 59.55/59.53 % Total time :58.790000s %------------------------------------------------------------------------------