%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP028-1 : TPTP v8.2.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/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 06:38:32 EDT 2024 % Result : Unsatisfiable 0.57s 0.63s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP028-1 : TPTP v8.2.0. Released v1.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n018.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 20 13:06:53 EDT 2024 % 0.12/0.34 % CPUTime : % 0.56/0.59 start to proof:theBenchmark % 0.56/0.63 %------------------------------------------- % 0.56/0.63 % File :CSE---1.7 % 0.56/0.63 % Problem :theBenchmark % 0.56/0.63 % Transform :cnf % 0.56/0.63 % Format :tptp:raw % 0.56/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.63 % 0.56/0.63 % Result :Theorem 0.000000s % 0.56/0.63 % Output :CNFRefutation 0.000000s % 0.56/0.63 %------------------------------------------- % 0.56/0.63 %-------------------------------------------------------------------------- % 0.56/0.63 % File : GRP028-1 : TPTP v8.2.0. Released v1.0.0. % 0.56/0.63 % Domain : Group Theory (Semigroups) % 0.56/0.63 % Problem : In semigroups, left and right solutions => right id exists % 0.56/0.63 % Version : [Cha70] axioms : Incomplete. % 0.56/0.63 % English : If there are left and right solutions, then there is a right % 0.56/0.63 % identity element. % 0.57/0.63 % 0.57/0.63 % Refs : [Sla67] Slagle (1967), Automatic Theorem Proving with Renamabl % 0.57/0.63 % : [Cha70] Chang (1970), The Unit Proof and the Input Proof in Th % 0.57/0.63 % : [RR+72] Reboh et al. (1972), Study of automatic theorem provin % 0.57/0.63 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S % 0.57/0.63 % Source : [Cha70] % 0.57/0.63 % Names : ALGEBRA THEOREM [Sla67] % 0.57/0.63 % : Example 1 [Cha70] % 0.57/0.63 % : GROUP1 [RR+72] % 0.57/0.63 % : GROUP1 [WM76] % 0.57/0.63 % : EX1 [SPRFN] % 0.57/0.63 % 0.57/0.63 % Status : Unsatisfiable % 0.57/0.63 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.0.0 % 0.57/0.63 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 2 RR) % 0.57/0.63 % Number of literals : 7 ( 0 equ; 4 neg) % 0.57/0.63 % Maximal clause size : 4 ( 1 avg) % 0.57/0.63 % Maximal term depth : 2 ( 1 avg) % 0.57/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.57/0.63 % Number of functors : 3 ( 3 usr; 0 con; 1-2 aty) % 0.57/0.63 % Number of variables : 11 ( 0 sgn) % 0.57/0.63 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.57/0.63 % 0.57/0.63 % Comments : % 0.57/0.63 %-------------------------------------------------------------------------- % 0.57/0.63 cnf(associativity,axiom, % 0.57/0.63 ( ~ product(X,Y,U) % 0.57/0.63 | ~ product(Y,Z,V) % 0.57/0.63 | ~ product(X,V,W) % 0.57/0.63 | product(U,Z,W) ) ). % 0.57/0.63 % 0.57/0.63 cnf(left_soln,hypothesis, % 0.57/0.63 product(left_solution(X,Y),X,Y) ). % 0.57/0.63 % 0.57/0.63 cnf(right_soln,hypothesis, % 0.57/0.63 product(X,right_solution(X,Y),Y) ). % 0.57/0.63 % 0.57/0.63 %----There is an element for which no X is identity % 0.57/0.63 cnf(prove_there_is_a_right_identity,negated_conjecture, % 0.57/0.63 ~ product(not_identity(X),X,not_identity(X)) ). % 0.57/0.63 % 0.57/0.63 %-------------------------------------------------------------------------- % 0.57/0.63 %------------------------------------------- % 0.57/0.63 % Proof found % 0.57/0.63 % SZS status Theorem for theBenchmark % 0.57/0.63 % SZS output start Proof % 0.57/0.63 %ClaNum:4(EqnAxiom:0) % 0.57/0.63 %VarNum:23(SingletonVarNum:11) % 0.57/0.63 %MaxLitNum:4 % 0.57/0.63 %MaxfuncDepth:1 % 0.57/0.63 %SharedTerms:0 % 0.57/0.63 %goalClause: 3 % 0.57/0.63 %singleGoalClaCount:1 % 0.57/0.63 [3]~P1(f3(x31),x31,f3(x31)) % 0.57/0.63 [1]P1(x11,f1(x11,x12),x12) % 0.57/0.63 [2]P1(f2(x21,x22),x21,x22) % 0.57/0.63 [4]~P1(x46,x44,x41)+P1(x41,x42,x43)+~P1(x44,x42,x45)+~P1(x46,x45,x43) % 0.57/0.63 %EqnAxiom % 0.57/0.63 % 0.57/0.63 %------------------------------------------- % 0.57/0.64 cnf(5,plain, % 0.57/0.64 ($false), % 0.57/0.64 inference(scs_inference,[],[2,3,1,4]), % 0.57/0.64 ['proof']). % 0.57/0.64 % SZS output end Proof % 0.57/0.64 % Total time :0.000000s %------------------------------------------------------------------------------