%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP131-1.002 : 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 : n029.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 06:38:57 EDT 2024 % Result : Unsatisfiable 79.40s 81.27s % Output : CNFRefutation 79.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : GRP131-1.002 : TPTP v8.2.0. Released v1.2.0. % 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n029.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Jun 20 12:43:54 EDT 2024 % 0.13/0.35 % CPUTime : % 0.57/0.60 start to proof:theBenchmark % 79.40/81.25 %------------------------------------------- % 79.40/81.25 % File :CSE---1.7 % 79.40/81.25 % Problem :theBenchmark % 79.40/81.25 % Transform :cnf % 79.40/81.25 % Format :tptp:raw % 79.40/81.25 % Command :java -jar mcs_scs.jar %d %s % 79.40/81.25 % 79.40/81.25 % Result :Theorem 78.800000s % 79.40/81.25 % Output :CNFRefutation 78.800000s % 79.40/81.25 %------------------------------------------- % 79.40/81.26 %-------------------------------------------------------------------------- % 79.40/81.26 % File : GRP131-1.002 : TPTP v8.2.0. Released v1.2.0. % 79.40/81.26 % Domain : Group Theory (Quasigroups) % 79.40/81.26 % Problem : (3,2,1) conjugate orthogonality, no idempotence % 79.40/81.26 % Version : [Sla93] axioms. % 79.40/81.26 % English : Generate the multiplication table for the specified quasi- % 79.40/81.26 % group with 2 elements. % 79.40/81.26 % 79.40/81.26 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 79.40/81.26 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 79.40/81.26 % : [Zha94] Zhang (1994), Email to G. Sutcliffe % 79.40/81.26 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 79.40/81.26 % Source : [Sla93] % 79.40/81.26 % Names : QG1-ni [Sla93] % 79.40/81.26 % 79.40/81.26 % Status : Unsatisfiable % 79.40/81.26 % Rating : 0.00 v2.1.0 % 79.40/81.26 % Syntax : Number of clauses : 10 ( 4 unt; 1 nHn; 10 RR) % 79.40/81.26 % Number of literals : 27 ( 0 equ; 18 neg) % 79.40/81.26 % Maximal clause size : 5 ( 2 avg) % 79.40/81.26 % Maximal term depth : 1 ( 1 avg) % 79.40/81.26 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty) % 79.40/81.26 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty) % 79.40/81.26 % Number of variables : 26 ( 0 sgn) % 79.40/81.26 % SPC : CNF_UNS_EPR_NEQ_NHN % 79.40/81.26 % 79.40/81.26 % Comments : [SFS93]'s axiomatization has been modified for this. % 79.40/81.26 % : Substitution axioms are not needed, as any positive equality % 79.40/81.26 % literals should resolve on negative ones directly. % 79.40/81.26 % : [Zha94] has pointed out that either one of qg1_1 % 79.40/81.26 % or qg1_2 may be used, as each implies the other in this % 79.40/81.26 % scenario, with the help of cancellation. The dependence % 79.40/81.26 % cannot be proved, so both have been left in here. % 79.40/81.26 % : tptp2X: -f tptp -s2 GRP131-1.g % 79.40/81.26 %-------------------------------------------------------------------------- % 79.40/81.26 cnf(element_1,axiom, % 79.40/81.26 group_element(e_1) ). % 79.40/81.26 % 79.40/81.26 cnf(element_2,axiom, % 79.40/81.26 group_element(e_2) ). % 79.40/81.26 % 79.40/81.26 cnf(e_1_is_not_e_2,axiom, % 79.40/81.26 ~ equalish(e_1,e_2) ). % 79.40/81.26 % 79.40/81.26 cnf(e_2_is_not_e_1,axiom, % 79.40/81.26 ~ equalish(e_2,e_1) ). % 79.40/81.26 % 79.40/81.26 cnf(product_total_function1,axiom, % 79.40/81.26 ( ~ group_element(X) % 79.40/81.26 | ~ group_element(Y) % 79.40/81.26 | product(X,Y,e_1) % 79.40/81.26 | product(X,Y,e_2) ) ). % 79.40/81.26 % 79.40/81.26 cnf(product_total_function2,axiom, % 79.40/81.26 ( ~ product(X,Y,W) % 79.40/81.26 | ~ product(X,Y,Z) % 79.40/81.26 | equalish(W,Z) ) ). % 79.40/81.26 % 79.40/81.26 cnf(product_right_cancellation,axiom, % 79.40/81.26 ( ~ product(X,W,Y) % 79.40/81.26 | ~ product(X,Z,Y) % 79.40/81.26 | equalish(W,Z) ) ). % 79.40/81.26 % 79.40/81.26 cnf(product_left_cancellation,axiom, % 79.40/81.26 ( ~ product(W,Y,X) % 79.40/81.26 | ~ product(Z,Y,X) % 79.40/81.26 | equalish(W,Z) ) ). % 79.40/81.26 % 79.40/81.26 cnf(qg1_1,negated_conjecture, % 79.40/81.26 ( ~ product(X1,Y1,Z1) % 79.40/81.26 | ~ product(X2,Y2,Z1) % 79.40/81.26 | ~ product(Z2,Y1,X1) % 79.40/81.26 | ~ product(Z2,Y2,X2) % 79.40/81.26 | equalish(X1,X2) ) ). % 79.40/81.26 % 79.40/81.26 cnf(qg1_2,negated_conjecture, % 79.40/81.26 ( ~ product(X1,Y1,Z1) % 79.40/81.27 | ~ product(X2,Y2,Z1) % 79.40/81.27 | ~ product(Z2,Y1,X1) % 79.40/81.27 | ~ product(Z2,Y2,X2) % 79.40/81.27 | equalish(Y1,Y2) ) ). % 79.40/81.27 % 79.40/81.27 %-------------------------------------------------------------------------- % 79.40/81.27 %------------------------------------------- % 79.40/81.27 % Proof found % 79.40/81.27 % SZS status Theorem for theBenchmark % 79.40/81.27 % SZS output start Proof % 79.40/81.27 %ClaNum:10(EqnAxiom:0) % 79.40/81.27 %VarNum:58(SingletonVarNum:26) % 79.40/81.27 %MaxLitNum:5 % 79.40/81.27 %MaxfuncDepth:0 % 79.40/81.27 %SharedTerms:6 % 79.40/81.27 %goalClause: 9 10 % 79.40/81.27 [1]P1(a1) % 79.40/81.27 [2]P1(a2) % 79.40/81.27 [3]~P2(a1,a2) % 79.40/81.27 [4]~P2(a2,a1) % 79.40/81.27 [6]~P3(x63,x64,x61)+P2(x61,x62)+~P3(x63,x64,x62) % 79.40/81.27 [7]~P3(x73,x71,x74)+P2(x71,x72)+~P3(x73,x72,x74) % 79.40/81.27 [8]~P3(x81,x83,x84)+P2(x81,x82)+~P3(x82,x83,x84) % 79.40/81.27 [5]~P1(x52)+~P1(x51)+P3(x51,x52,a2)+P3(x51,x52,a1) % 79.40/81.27 [9]~P3(x95,x91,x96)+P2(x91,x92)+~P3(x93,x92,x94)+~P3(x93,x91,x95)+~P3(x94,x92,x96) % 79.40/81.27 [10]~P3(x101,x105,x106)+P2(x101,x102)+~P3(x103,x104,x102)+~P3(x103,x105,x101)+~P3(x102,x104,x106) % 79.40/81.27 %EqnAxiom % 79.40/81.27 % 79.40/81.27 %------------------------------------------- % 79.40/81.30 cnf(38570,plain, % 79.40/81.30 (~P3(x385701,x385702,a2)+~P3(x385701,x385702,a1)), % 79.40/81.30 inference(scs_inference,[],[3,6])). % 79.40/81.30 cnf(38579,plain, % 79.40/81.30 (~P3(a1,x385791,x385792)+~P3(a2,x385791,x385792)), % 79.40/81.30 inference(scs_inference,[],[4,8])). % 79.40/81.30 cnf(38589,plain, % 79.40/81.30 (P3(a1,a1,a1)+P3(a1,a1,a2)), % 79.40/81.30 inference(scs_inference,[],[1,5])). % 79.40/81.30 cnf(38597,plain, % 79.40/81.30 (~P3(a1,x385971,a2)+~P3(a2,x385971,a1)+P3(a1,a1,a2)), % 79.40/81.30 inference(scs_inference,[],[1,4,3,5,9,7,8,10])). % 79.40/81.30 cnf(38598,plain, % 79.40/81.30 (~P3(x385981,a2,x385982)+~P3(x385981,a1,x385982)), % 79.40/81.30 inference(scs_inference,[],[3,7])). % 79.40/81.30 cnf(38600,plain, % 79.40/81.30 (~P3(a1,a2,a2)+~P3(a2,x386001,a1)+~P3(a1,x386001,a2)), % 79.40/81.30 inference(scs_inference,[],[3,7,38597])). % 79.40/81.30 cnf(38601,plain, % 79.40/81.30 (P3(a2,a2,a1)+P3(a2,a2,a2)), % 79.40/81.30 inference(scs_inference,[],[2,5])). % 79.40/81.30 cnf(38604,plain, % 79.40/81.30 (~P3(x386041,a2,x386042)+~P3(x386043,a1,x386044)+~P3(x386042,a2,x386044)+~P3(x386041,a1,x386043)), % 79.40/81.30 inference(scs_inference,[],[4,9])). % 79.40/81.30 cnf(38624,plain, % 79.40/81.30 (P3(a1,a2,a1)+~P3(a2,a2,a1)), % 79.40/81.30 inference(scs_inference,[],[2,1,38600,5])). % 79.40/81.30 cnf(38625,plain, % 79.40/81.30 (~P3(a2,a2,a1)+~P3(a1,a2,a2)), % 79.40/81.30 inference(scs_inference,[],[38624,38570])). % 79.40/81.30 cnf(38627,plain, % 79.40/81.30 (P3(a2,a2,a2)+~P3(a1,a2,a2)), % 79.40/81.30 inference(scs_inference,[],[38625,38601])). % 79.40/81.30 cnf(38628,plain, % 79.40/81.30 (~P3(a1,a2,a2)), % 79.40/81.30 inference(scs_inference,[],[38627,38579])). % 79.40/81.30 cnf(44331,plain, % 79.40/81.30 (~P3(a2,a1,a1)), % 79.40/81.30 inference(scs_inference,[],[2,38628,1,5,9,10,38579,38598,38589,38601,38604])). % 79.40/81.30 cnf(44333,plain, % 79.40/81.30 (~P3(a2,a1,a2)), % 79.40/81.30 inference(scs_inference,[],[2,38628,1,4,5,9,10,38579,38598,38589,38601,38604,7])). % 79.40/81.30 cnf(44335,plain, % 79.40/81.30 ($false), % 79.40/81.30 inference(scs_inference,[],[2,44331,44333,1,5]), % 79.40/81.30 ['proof']). % 79.51/81.33 % SZS output end Proof % 79.51/81.33 % Total time :78.800000s %------------------------------------------------------------------------------