%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP546-1 : TPTP v8.2.0. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n019.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 06:39:54 EDT 2024 % Result : Unsatisfiable 58.54s 58.63s % Output : CNFRefutation 58.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP546-1 : TPTP v8.2.0. Released v2.6.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n019.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Thu Jun 20 10:07:54 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 58.54/58.61 %------------------------------------------- % 58.54/58.61 % File :CSE---1.7 % 58.54/58.61 % Problem :theBenchmark % 58.54/58.61 % Transform :cnf % 58.54/58.61 % Format :tptp:raw % 58.54/58.61 % Command :java -jar mcs_scs.jar %d %s % 58.54/58.61 % 58.54/58.61 % Result :Theorem 58.000000s % 58.54/58.61 % Output :CNFRefutation 58.000000s % 58.54/58.61 %------------------------------------------- % 58.54/58.63 %-------------------------------------------------------------------------- % 58.54/58.63 % File : GRP546-1 : TPTP v8.2.0. Released v2.6.0. % 58.54/58.63 % Domain : Group Theory (Abelian) % 58.54/58.63 % Problem : Axiom for Abelian group theory, in division and identity, part 2 % 58.54/58.63 % Version : [McC93] (equality) axioms. % 58.54/58.63 % English : % 58.54/58.63 % 58.54/58.63 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr % 58.54/58.63 % Source : [TPTP] % 58.54/58.63 % Names : % 58.54/58.63 % 58.54/58.63 % Status : Unsatisfiable % 58.54/58.63 % Rating : 0.00 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 v7.0.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.6.0 % 58.54/58.63 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR) % 58.54/58.63 % Number of literals : 5 ( 5 equ; 1 neg) % 58.54/58.63 % Maximal clause size : 1 ( 1 avg) % 58.54/58.63 % Maximal term depth : 4 ( 2 avg) % 58.54/58.63 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 58.54/58.63 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty) % 58.54/58.63 % Number of variables : 7 ( 0 sgn) % 58.54/58.63 % SPC : CNF_UNS_RFO_PEQ_UEQ % 58.54/58.63 % 58.54/58.63 % Comments : A UEQ part of GRP094-1 % 58.54/58.63 %-------------------------------------------------------------------------- % 58.54/58.63 cnf(single_axiom,axiom, % 58.54/58.63 divide(divide(identity,divide(A,B)),divide(divide(B,C),A)) = C ). % 58.54/58.63 % 58.54/58.63 cnf(multiply,axiom, % 58.54/58.63 multiply(A,B) = divide(A,divide(identity,B)) ). % 58.54/58.63 % 58.54/58.63 cnf(inverse,axiom, % 58.54/58.63 inverse(A) = divide(identity,A) ). % 58.54/58.63 % 58.54/58.63 cnf(identity,axiom, % 58.54/58.63 identity = divide(A,A) ). % 58.54/58.63 % 58.54/58.63 cnf(prove_these_axioms_2,negated_conjecture, % 58.54/58.63 multiply(multiply(inverse(b2),b2),a2) != a2 ). % 58.54/58.63 % 58.54/58.63 %-------------------------------------------------------------------------- % 58.54/58.63 %------------------------------------------- % 58.54/58.63 % Proof found % 58.54/58.63 % SZS status Theorem for theBenchmark % 58.54/58.63 % SZS output start Proof % 58.54/58.65 %ClaNum:8(EqnAxiom:5) % 58.54/58.65 %VarNum:8(SingletonVarNum:4) % 58.54/58.65 %MaxLitNum:1 % 58.54/58.65 %MaxfuncDepth:3 % 58.54/58.65 %SharedTerms:8 % 58.54/58.65 %goalClause: 8 % 58.54/58.65 %singleGoalClaCount:1 % 58.54/58.65 [8]~E(f1(f1(f1(a4,a2),f1(a4,a2)),f1(a4,a3)),a3) % 58.54/58.65 [6]E(f1(x61,x61),a4) % 58.54/58.65 [7]E(f1(f1(a4,f1(x71,x72)),f1(f1(x72,x73),x71)),x73) % 58.54/58.65 %EqnAxiom % 58.54/58.65 [1]E(x11,x11) % 58.54/58.65 [2]E(x22,x21)+~E(x21,x22) % 58.54/58.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.54/58.65 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43)) % 58.54/58.65 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52)) % 58.54/58.65 % 58.54/58.65 %------------------------------------------- % 58.54/58.66 cnf(9,plain, % 58.54/58.66 (E(a4,f1(x91,x91))), % 58.54/58.66 inference(scs_inference,[],[6,2])). % 58.54/58.66 cnf(11,plain, % 58.54/58.66 (E(f1(f1(a4,f1(x111,x112)),f1(f1(x112,a4),x111)),f1(x113,x113))), % 58.54/58.66 inference(scs_inference,[],[9,7,2,3])). % 58.54/58.66 cnf(14,plain, % 58.54/58.66 (E(f1(x141,x141),f1(x142,x142))), % 58.54/58.66 inference(scs_inference,[],[9,11,6,2,3])). % 58.54/58.66 cnf(15,plain, % 58.54/58.66 (~E(f1(f1(f1(a4,a2),f1(a4,a2)),f1(a4,a3)),f1(f1(a4,f1(x151,x152)),f1(f1(x152,a3),x151)))), % 58.54/58.66 inference(scs_inference,[],[8,7,3])). % 58.54/58.66 cnf(17,plain, % 58.54/58.66 (E(f1(f1(x171,x171),x172),f1(a4,x172))), % 58.54/58.66 inference(scs_inference,[],[6,4])). % 58.54/58.66 cnf(18,plain, % 58.54/58.66 (E(f1(x181,f1(x182,x182)),f1(x181,a4))), % 58.54/58.66 inference(scs_inference,[],[6,4,5])). % 58.54/58.66 cnf(22,plain, % 58.54/58.66 (E(f1(f1(x221,x221),x222),f1(f1(x223,x223),x222))), % 58.54/58.66 inference(scs_inference,[],[14,4])). % 58.54/58.66 cnf(29,plain, % 58.54/58.66 (~E(f1(f1(x291,x291),f1(a4,a3)),f1(f1(a4,f1(x292,x293)),f1(f1(x293,a3),x292)))), % 58.54/58.66 inference(scs_inference,[],[18,22,15,4,5,3])). % 58.54/58.66 cnf(37,plain, % 58.54/58.66 (E(f1(f1(f1(x371,x371),x372),x373),f1(f1(a4,x372),x373))), % 58.54/58.66 inference(scs_inference,[],[17,4])). % 58.54/58.66 cnf(38,plain, % 58.54/58.66 (E(f1(x381,f1(f1(x382,x382),x383)),f1(x381,f1(a4,x383)))), % 58.54/58.66 inference(scs_inference,[],[17,4,5])). % 58.54/58.66 cnf(48,plain, % 58.54/58.66 ($false), % 58.54/58.66 inference(scs_inference,[],[37,38,29,22,4,5,3,2]), % 58.54/58.66 ['proof']). % 58.54/58.66 % SZS output end Proof % 58.54/58.66 % Total time :58.000000s %------------------------------------------------------------------------------