%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG202+1 : TPTP v8.2.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n015.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 03:40:59 EDT 2024 % Result : Theorem 58.54s 58.59s % Output : CNFRefutation 58.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : ALG202+1 : TPTP v8.2.0. Released v2.7.0. % 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.31 % Computer : n015.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Wed Jun 19 15:57:53 EDT 2024 % 0.11/0.31 % CPUTime : % 0.16/0.54 start to proof:theBenchmark % 58.47/58.58 %------------------------------------------- % 58.47/58.58 % File :CSE---1.7 % 58.47/58.58 % Problem :theBenchmark % 58.47/58.58 % Transform :cnf % 58.47/58.58 % Format :tptp:raw % 58.47/58.58 % Command :java -jar mcs_scs.jar %d %s % 58.47/58.58 % 58.47/58.58 % Result :Theorem 58.010000s % 58.47/58.58 % Output :CNFRefutation 58.010000s % 58.47/58.58 %------------------------------------------- % 58.54/58.59 %-------------------------------------------------------------------------- % 58.54/58.59 % File : ALG202+1 : TPTP v8.2.0. Released v2.7.0. % 58.54/58.59 % Domain : General Algebra % 58.54/58.59 % Problem : Quasigroups 7 QG5: CPROPS-SORTED-DISCRIMINANT-PROBLEM-2 % 58.54/58.59 % Version : Especial. % 58.54/58.59 % English : % 58.54/58.59 % 58.54/58.59 % Refs : [Mei03] Meier (2003), Email to G.Sutcliffe % 58.54/58.59 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi % 58.54/58.59 % Source : [Mei03] % 58.54/58.59 % Names : % 58.54/58.59 % 58.54/58.59 % Status : Theorem % 58.54/58.59 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.04 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0 % 58.54/58.59 % Syntax : Number of formulae : 5 ( 0 unt; 0 def) % 58.54/58.59 % Number of atoms : 24 ( 6 equ) % 58.54/58.59 % Maximal formula atoms : 14 ( 4 avg) % 58.54/58.59 % Number of connectives : 21 ( 2 ~; 0 |; 4 &) % 58.54/58.59 % ( 0 <=>; 15 =>; 0 <=; 0 <~>) % 58.54/58.59 % Maximal formula depth : 9 ( 5 avg) % 58.54/58.59 % Maximal term depth : 3 ( 1 avg) % 58.54/58.59 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 58.54/58.59 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty) % 58.54/58.59 % Number of variables : 14 ( 14 !; 0 ?) % 58.54/58.59 % SPC : FOF_THM_RFO_SEQ % 58.54/58.59 % 58.54/58.59 % Comments : % 58.54/58.59 %-------------------------------------------------------------------------- % 58.54/58.59 fof(ax1,axiom, % 58.54/58.59 ! [U] : % 58.54/58.59 ( sorti1(U) % 58.54/58.59 => ! [V] : % 58.54/58.59 ( sorti1(V) % 58.54/58.59 => sorti1(op1(U,V)) ) ) ). % 58.54/58.59 % 58.54/58.59 fof(ax2,axiom, % 58.54/58.59 ! [U] : % 58.54/58.59 ( sorti2(U) % 58.54/58.59 => ! [V] : % 58.54/58.59 ( sorti2(V) % 58.54/58.59 => sorti2(op2(U,V)) ) ) ). % 58.54/58.59 % 58.54/58.59 fof(ax3,axiom, % 58.54/58.59 ! [U] : % 58.54/58.59 ( sorti1(U) % 58.54/58.59 => op1(U,U) = U ) ). % 58.54/58.59 % 58.54/58.59 fof(ax4,axiom, % 58.54/58.59 ~ ! [U] : % 58.54/58.59 ( sorti2(U) % 58.54/58.59 => op2(U,U) = U ) ). % 58.54/58.59 % 58.54/58.59 fof(co1,conjecture, % 58.54/58.59 ( ( ! [U] : % 58.54/58.59 ( sorti1(U) % 58.54/58.59 => sorti2(h(U)) ) % 58.54/58.59 & ! [V] : % 58.54/58.59 ( sorti2(V) % 58.54/58.59 => sorti1(j(V)) ) ) % 58.54/58.59 => ~ ( ! [W] : % 58.54/58.59 ( sorti1(W) % 58.54/58.59 => ! [X] : % 58.54/58.59 ( sorti1(X) % 58.54/58.59 => h(op1(W,X)) = op2(h(W),h(X)) ) ) % 58.54/58.59 & ! [Y] : % 58.54/58.59 ( sorti2(Y) % 58.54/58.59 => ! [Z] : % 58.54/58.59 ( sorti2(Z) % 58.54/58.59 => j(op2(Y,Z)) = op1(j(Y),j(Z)) ) ) % 58.54/58.59 & ! [X1] : % 58.54/58.59 ( sorti2(X1) % 58.54/58.59 => h(j(X1)) = X1 ) % 58.54/58.59 & ! [X2] : % 58.54/58.59 ( sorti1(X2) % 58.54/58.59 => j(h(X2)) = X2 ) ) ) ). % 58.54/58.59 % 58.54/58.59 %-------------------------------------------------------------------------- % 58.54/58.59 %------------------------------------------- % 58.54/58.59 % Proof found % 58.54/58.59 % SZS status Theorem for theBenchmark % 58.54/58.59 % SZS output start Proof % 58.54/58.59 %ClaNum:22(EqnAxiom:11) % 58.54/58.59 %VarNum:34(SingletonVarNum:13) % 58.54/58.59 %MaxLitNum:3 % 58.54/58.59 %MaxfuncDepth:2 % 58.54/58.59 %SharedTerms:4 % 58.54/58.59 %goalClause: 14 15 16 17 21 22 % 58.54/58.59 [12]P1(a1) % 58.54/58.59 [13]~E(f2(a1,a1),a1) % 58.54/58.59 [14]~P1(x141)+P2(f3(x141)) % 58.54/58.59 [15]~P2(x151)+P1(f4(x151)) % 58.54/58.59 [18]~P2(x181)+E(f5(x181,x181),x181) % 58.54/58.59 [16]~P1(x161)+E(f4(f3(x161)),x161) % 58.54/58.59 [17]~P2(x171)+E(f3(f4(x171)),x171) % 58.54/58.59 [19]~P2(x192)+~P2(x191)+P2(f5(x191,x192)) % 58.54/58.59 [20]~P1(x202)+~P1(x201)+P1(f2(x201,x202)) % 58.54/58.59 [21]~P2(x212)+~P2(x211)+E(f4(f5(x211,x212)),f2(f4(x211),f4(x212))) % 58.54/58.59 [22]~P1(x222)+~P1(x221)+E(f5(f3(x221),f3(x222)),f3(f2(x221,x222))) % 58.54/58.59 %EqnAxiom % 58.54/58.59 [1]E(x11,x11) % 58.54/58.59 [2]E(x22,x21)+~E(x21,x22) % 58.54/58.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.54/58.59 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 58.54/58.59 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 58.54/58.59 [6]~E(x61,x62)+E(f3(x61),f3(x62)) % 58.54/58.59 [7]~E(x71,x72)+E(f4(x71),f4(x72)) % 58.54/58.59 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83)) % 58.54/58.60 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92)) % 58.54/58.60 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 58.54/58.60 [11]~P2(x111)+P2(x112)+~E(x111,x112) % 58.54/58.60 % 58.54/58.60 %------------------------------------------- % 58.54/58.60 cnf(24,plain, % 58.54/58.60 (P1(f4(f3(a1)))), % 58.54/58.60 inference(scs_inference,[],[12,15,14])). % 58.54/58.60 cnf(30,plain, % 58.54/58.60 (E(f5(f3(a1),f3(a1)),f3(a1))), % 58.54/58.60 inference(scs_inference,[],[12,18,14])). % 58.54/58.60 cnf(31,plain, % 58.54/58.60 (E(f3(a1),f5(f3(a1),f3(a1)))), % 58.54/58.60 inference(scs_inference,[],[30,2])). % 58.54/58.60 cnf(69,plain, % 58.54/58.60 (~E(f2(a1,a1),f4(f3(a1)))), % 58.54/58.60 inference(scs_inference,[],[13,12,3,16])). % 58.54/58.60 cnf(89,plain, % 58.54/58.60 (E(a1,f4(f3(a1)))), % 58.54/58.60 inference(scs_inference,[],[12,2,16])). % 58.54/58.60 cnf(90,plain, % 58.54/58.60 (E(f4(f3(a1)),a1)), % 58.54/58.60 inference(scs_inference,[],[89,2])). % 58.54/58.60 cnf(98,plain, % 58.54/58.60 (~E(a1,f2(a1,a1))), % 58.54/58.60 inference(scs_inference,[],[69,90,2,3])). % 58.54/58.60 cnf(99,plain, % 58.54/58.60 (E(f2(f4(f3(a1)),x991),f2(a1,x991))), % 58.54/58.60 inference(scs_inference,[],[89,2,4])). % 58.54/58.60 cnf(102,plain, % 58.54/58.60 (E(f2(f4(f3(a1)),x1021),f2(a1,x1021))), % 58.54/58.60 inference(rename_variables,[],[99])). % 58.54/58.60 cnf(103,plain, % 58.54/58.60 (~P1(f2(f4(f3(a1)),x1031))+P1(f2(a1,x1031))), % 58.54/58.60 inference(scs_inference,[],[99,102,98,2,3,10])). % 58.54/58.60 cnf(106,plain, % 58.54/58.60 (P1(f2(a1,a1))), % 58.54/58.60 inference(scs_inference,[],[12,24,103,20])). % 58.54/58.60 cnf(114,plain, % 58.54/58.60 (E(f2(a1,a1),f4(f3(f2(a1,a1))))), % 58.54/58.60 inference(scs_inference,[],[106,2,16])). % 58.54/58.60 cnf(115,plain, % 58.54/58.60 (E(f4(f3(f2(a1,a1))),f2(a1,a1))), % 58.54/58.60 inference(scs_inference,[],[114,2])). % 58.54/58.60 cnf(129,plain, % 58.54/58.60 (E(f3(f2(a1,a1)),f5(f3(a1),f3(a1)))), % 58.54/58.60 inference(scs_inference,[],[12,2,22])). % 58.54/58.60 cnf(131,plain, % 58.54/58.60 (E(f3(a1),f3(f2(a1,a1)))), % 58.54/58.60 inference(scs_inference,[],[31,129,2,3])). % 58.54/58.60 cnf(134,plain, % 58.54/58.60 (E(f3(f2(a1,a1)),f3(a1))), % 58.54/58.60 inference(scs_inference,[],[131,2])). % 58.54/58.60 cnf(148,plain, % 58.54/58.60 (~E(f4(f3(a1)),f4(f3(f2(a1,a1))))), % 58.54/58.60 inference(scs_inference,[],[69,115,2,3])). % 58.54/58.60 cnf(441,plain, % 58.54/58.60 (E(f4(f3(a1)),f4(f3(f2(a1,a1))))), % 58.54/58.60 inference(scs_inference,[],[134,7,2])). % 58.54/58.60 cnf(2832,plain, % 58.54/58.60 ($false), % 58.54/58.60 inference(scs_inference,[],[148,441]), % 58.54/58.60 ['proof']). % 58.54/58.61 % SZS output end Proof % 58.54/58.61 % Total time :58.010000s %------------------------------------------------------------------------------