%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP496-1 : TPTP v8.2.0. Released v2.6.0. % 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 06:39:48 EDT 2024 % Result : Unsatisfiable 0.55s 0.60s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GRP496-1 : TPTP v8.2.0. Released v2.6.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n018.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 10:13:24 EDT 2024 % 0.13/0.34 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 0.53/0.60 %------------------------------------------- % 0.53/0.60 % File :CSE---1.7 % 0.53/0.60 % Problem :theBenchmark % 0.53/0.60 % Transform :cnf % 0.53/0.60 % Format :tptp:raw % 0.53/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.60 % 0.53/0.60 % Result :Theorem 0.000000s % 0.53/0.60 % Output :CNFRefutation 0.000000s % 0.53/0.60 %------------------------------------------- % 0.53/0.60 %-------------------------------------------------------------------------- % 0.53/0.60 % File : GRP496-1 : TPTP v8.2.0. Released v2.6.0. % 0.53/0.60 % Domain : Group Theory % 0.53/0.60 % Problem : Axiom for group theory, in double division and identity, part 1 % 0.53/0.60 % Version : [McC93] (equality) axioms. % 0.53/0.60 % English : % 0.53/0.60 % 0.53/0.60 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr % 0.53/0.60 % Source : [TPTP] % 0.53/0.60 % Names : % 0.53/0.60 % 0.53/0.60 % Status : Unsatisfiable % 0.53/0.60 % Rating : 0.05 v8.2.0, 0.04 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.6.0 % 0.53/0.60 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR) % 0.53/0.60 % Number of literals : 5 ( 5 equ; 1 neg) % 0.53/0.60 % Maximal clause size : 1 ( 1 avg) % 0.53/0.60 % Maximal term depth : 5 ( 2 avg) % 0.53/0.60 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.53/0.60 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty) % 0.53/0.60 % Number of variables : 7 ( 0 sgn) % 0.53/0.60 % SPC : CNF_UNS_RFO_PEQ_UEQ % 0.53/0.60 % 0.53/0.60 % Comments : A UEQ part of GRP080-1 % 0.53/0.60 %-------------------------------------------------------------------------- % 0.53/0.60 cnf(single_axiom,axiom, % 0.53/0.60 double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(double_divide(B,double_divide(C,A)),identity)) = C ). % 0.53/0.60 % 0.53/0.60 cnf(multiply,axiom, % 0.53/0.60 multiply(A,B) = double_divide(double_divide(B,A),identity) ). % 0.53/0.60 % 0.53/0.60 cnf(inverse,axiom, % 0.55/0.60 inverse(A) = double_divide(A,identity) ). % 0.55/0.60 % 0.55/0.60 cnf(identity,axiom, % 0.55/0.60 identity = double_divide(A,inverse(A)) ). % 0.55/0.60 % 0.55/0.60 cnf(prove_these_axioms_1,negated_conjecture, % 0.55/0.60 multiply(inverse(a1),a1) != identity ). % 0.55/0.60 % 0.55/0.60 %-------------------------------------------------------------------------- % 0.55/0.60 %------------------------------------------- % 0.55/0.60 % Proof found % 0.55/0.60 % SZS status Theorem for theBenchmark % 0.55/0.60 % SZS output start Proof % 0.55/0.61 %ClaNum:8(EqnAxiom:5) % 0.55/0.61 %VarNum:8(SingletonVarNum:4) % 0.55/0.61 %MaxLitNum:1 % 0.55/0.61 %MaxfuncDepth:4 % 0.55/0.61 %SharedTerms:6 % 0.55/0.61 %goalClause: 8 % 0.55/0.61 %singleGoalClaCount:1 % 0.55/0.61 [8]~E(f2(f2(a3,f2(a3,a1)),a1),a1) % 0.55/0.61 [6]E(f2(x61,f2(x61,a1)),a1) % 0.55/0.61 [7]E(f2(f2(a1,f2(x71,f2(x72,a1))),f2(f2(x72,f2(x73,x71)),a1)),x73) % 0.55/0.61 %EqnAxiom % 0.55/0.61 [1]E(x11,x11) % 0.55/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.61 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 0.55/0.61 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 0.55/0.61 % 0.55/0.61 %------------------------------------------- % 0.55/0.61 cnf(10,plain, % 0.55/0.61 (~E(f2(f2(a3,f2(a3,a1)),a1),f2(x101,f2(x101,a1)))), % 0.55/0.61 inference(scs_inference,[],[8,6,2,3])). % 0.55/0.61 cnf(13,plain, % 0.55/0.61 (~E(f2(f2(a3,f2(a3,a1)),a1),f2(a1,a1))), % 0.55/0.61 inference(scs_inference,[],[10,7,2,3])). % 0.55/0.61 cnf(15,plain, % 0.55/0.61 ($false), % 0.55/0.61 inference(scs_inference,[],[13,6,4]), % 0.55/0.61 ['proof']). % 0.55/0.61 % SZS output end Proof % 0.55/0.61 % Total time :0.000000s %------------------------------------------------------------------------------