%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP457-1 : 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 : n023.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 06:39:42 EDT 2024 % Result : Unsatisfiable 0.14s 0.53s % Output : CNFRefutation 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : GRP457-1 : TPTP v8.2.0. Released v2.6.0. % 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.08/0.28 % Computer : n023.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 300 % 0.08/0.28 % DateTime : Thu Jun 20 07:25:08 EDT 2024 % 0.08/0.28 % CPUTime : % 0.14/0.50 start to proof:theBenchmark % 0.14/0.52 %------------------------------------------- % 0.14/0.52 % File :CSE---1.7 % 0.14/0.52 % Problem :theBenchmark % 0.14/0.52 % Transform :cnf % 0.14/0.52 % Format :tptp:raw % 0.14/0.52 % Command :java -jar mcs_scs.jar %d %s % 0.14/0.52 % 0.14/0.52 % Result :Theorem 0.000000s % 0.14/0.52 % Output :CNFRefutation 0.000000s % 0.14/0.52 %------------------------------------------- % 0.14/0.53 %-------------------------------------------------------------------------- % 0.14/0.53 % File : GRP457-1 : TPTP v8.2.0. Released v2.6.0. % 0.14/0.53 % Domain : Group Theory % 0.14/0.53 % Problem : Axiom for group theory, in division and identity, part 1 % 0.14/0.53 % Version : [McC93] (equality) axioms. % 0.14/0.53 % English : % 0.14/0.53 % 0.14/0.53 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr % 0.14/0.53 % Source : [TPTP] % 0.14/0.53 % Names : % 0.14/0.53 % 0.14/0.53 % Status : Unsatisfiable % 0.14/0.53 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v6.4.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.00 v5.1.0, 0.07 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v2.6.0 % 0.14/0.53 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR) % 0.14/0.53 % Number of literals : 5 ( 5 equ; 1 neg) % 0.14/0.53 % Maximal clause size : 1 ( 1 avg) % 0.14/0.53 % Maximal term depth : 7 ( 2 avg) % 0.14/0.53 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.14/0.53 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty) % 0.14/0.53 % Number of variables : 7 ( 0 sgn) % 0.14/0.53 % SPC : CNF_UNS_RFO_PEQ_UEQ % 0.14/0.53 % 0.14/0.53 % Comments : A UEQ part of GRP067-1 % 0.14/0.53 %-------------------------------------------------------------------------- % 0.14/0.53 cnf(single_axiom,axiom, % 0.14/0.53 divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ). % 0.14/0.53 % 0.14/0.53 cnf(multiply,axiom, % 0.14/0.53 multiply(A,B) = divide(A,divide(identity,B)) ). % 0.14/0.53 % 0.14/0.53 cnf(inverse,axiom, % 0.14/0.53 inverse(A) = divide(identity,A) ). % 0.14/0.53 % 0.14/0.53 cnf(identity,axiom, % 0.14/0.53 identity = divide(A,A) ). % 0.14/0.53 % 0.14/0.53 cnf(prove_these_axioms_1,negated_conjecture, % 0.14/0.53 multiply(inverse(a1),a1) != identity ). % 0.14/0.53 % 0.14/0.53 %-------------------------------------------------------------------------- % 0.14/0.53 %------------------------------------------- % 0.14/0.53 % Proof found % 0.14/0.53 % SZS status Theorem for theBenchmark % 0.14/0.53 % SZS output start Proof % 0.14/0.53 %ClaNum:8(EqnAxiom:5) % 0.14/0.53 %VarNum:10(SingletonVarNum:4) % 0.14/0.53 %MaxLitNum:1 % 0.14/0.53 %MaxfuncDepth:6 % 0.14/0.53 %SharedTerms:5 % 0.14/0.53 %goalClause: 8 % 0.14/0.53 %singleGoalClaCount:1 % 0.14/0.53 [8]~E(f1(f1(a3,a2),f1(a3,a2)),a3) % 0.14/0.53 [6]E(f1(x61,x61),a3) % 0.14/0.53 [7]E(f1(f1(f1(x71,x71),f1(x71,f1(x72,f1(f1(a3,x71),x73)))),x73),x72) % 0.14/0.53 %EqnAxiom % 0.14/0.53 [1]E(x11,x11) % 0.14/0.53 [2]E(x22,x21)+~E(x21,x22) % 0.14/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.14/0.53 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43)) % 0.14/0.53 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52)) % 0.14/0.53 % 0.14/0.53 %------------------------------------------- % 0.14/0.53 cnf(9,plain, % 0.14/0.53 ($false), % 0.14/0.53 inference(scs_inference,[],[8,6]), % 0.14/0.53 ['proof']). % 0.14/0.53 % SZS output end Proof % 0.14/0.53 % Total time :0.000000s %------------------------------------------------------------------------------