%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP530-1 : 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 : 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 06:39:52 EDT 2024 % Result : Unsatisfiable 0.53s 0.61s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GRP530-1 : TPTP v8.2.0. Released v2.6.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 20 11:25:08 EDT 2024 % 0.12/0.33 % CPUTime : % 0.52/0.56 start to proof:theBenchmark % 0.53/0.61 %------------------------------------------- % 0.53/0.61 % File :CSE---1.7 % 0.53/0.61 % Problem :theBenchmark % 0.53/0.61 % Transform :cnf % 0.53/0.61 % Format :tptp:raw % 0.53/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.61 % 0.53/0.61 % Result :Theorem 0.010000s % 0.53/0.61 % Output :CNFRefutation 0.010000s % 0.53/0.61 %------------------------------------------- % 0.53/0.61 %-------------------------------------------------------------------------- % 0.53/0.61 % File : GRP530-1 : TPTP v8.2.0. Released v2.6.0. % 0.53/0.61 % Domain : Group Theory (Abelian) % 0.53/0.61 % Problem : Axiom for Abelian group theory, in division, part 2 % 0.53/0.61 % Version : [McC93] (equality) axioms. % 0.53/0.61 % English : % 0.53/0.61 % 0.53/0.61 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr % 0.53/0.61 % Source : [TPTP] % 0.53/0.61 % Names : % 0.53/0.61 % 0.53/0.61 % Status : Unsatisfiable % 0.53/0.61 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.00 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.6.0 % 0.53/0.61 % Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 1 RR) % 0.53/0.61 % Number of literals : 4 ( 4 equ; 1 neg) % 0.53/0.61 % Maximal clause size : 1 ( 1 avg) % 0.53/0.61 % Maximal term depth : 4 ( 2 avg) % 0.53/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.53/0.61 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty) % 0.53/0.61 % Number of variables : 8 ( 0 sgn) % 0.53/0.61 % SPC : CNF_UNS_RFO_PEQ_UEQ % 0.53/0.61 % 0.53/0.61 % Comments : A UEQ part of GRP090-1 % 0.53/0.61 %-------------------------------------------------------------------------- % 0.53/0.61 cnf(single_axiom,axiom, % 0.53/0.61 divide(divide(A,divide(B,C)),divide(A,B)) = C ). % 0.53/0.61 % 0.53/0.61 cnf(multiply,axiom, % 0.53/0.61 multiply(A,B) = divide(A,divide(divide(C,C),B)) ). % 0.53/0.61 % 0.53/0.61 cnf(inverse,axiom, % 0.53/0.61 inverse(A) = divide(divide(B,B),A) ). % 0.53/0.61 % 0.53/0.61 cnf(prove_these_axioms_2,negated_conjecture, % 0.53/0.61 multiply(multiply(inverse(b2),b2),a2) != a2 ). % 0.53/0.61 % 0.53/0.61 %-------------------------------------------------------------------------- % 0.53/0.61 %------------------------------------------- % 0.53/0.61 % Proof found % 0.53/0.61 % SZS status Theorem for theBenchmark % 0.53/0.61 % SZS output start Proof % 0.53/0.61 %ClaNum:12(EqnAxiom:8) % 0.53/0.62 %VarNum:16(SingletonVarNum:8) % 0.53/0.62 %MaxLitNum:1 % 0.53/0.62 %MaxfuncDepth:3 % 0.53/0.62 %SharedTerms:6 % 0.53/0.62 %goalClause: 12 % 0.53/0.62 %singleGoalClaCount:1 % 0.53/0.62 [12]~E(f5(f5(f4(a2),a2),a3),a3) % 0.53/0.62 [9]E(f1(f1(x91,x91),x92),f4(x92)) % 0.53/0.62 [11]E(f1(f1(x111,f1(x112,x113)),f1(x111,x112)),x113) % 0.53/0.62 [10]E(f1(x101,f1(f1(x102,x102),x103)),f5(x101,x103)) % 0.53/0.62 %EqnAxiom % 0.53/0.62 [1]E(x11,x11) % 0.53/0.62 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.62 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43)) % 0.53/0.62 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52)) % 0.53/0.62 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 0.53/0.62 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 0.53/0.62 [8]~E(x81,x82)+E(f4(x81),f4(x82)) % 0.53/0.62 % 0.53/0.62 %------------------------------------------- % 0.53/0.62 cnf(13,plain, % 0.53/0.62 (E(f4(x131),f1(f1(x132,x132),x131))), % 0.53/0.62 inference(scs_inference,[],[9,2])). % 0.53/0.62 cnf(14,plain, % 0.53/0.62 (E(x141,f1(f1(x142,f1(x143,x141)),f1(x142,x143)))), % 0.53/0.62 inference(scs_inference,[],[11,2])). % 0.53/0.62 cnf(15,plain, % 0.53/0.62 (E(f4(f1(f1(x151,x151),x152)),f5(f1(x153,x153),x152))), % 0.53/0.62 inference(scs_inference,[],[13,11,10,2,3])). % 0.53/0.62 cnf(18,plain, % 0.53/0.62 (E(f5(f1(x181,x181),x182),f4(f1(f1(x183,x183),x182)))), % 0.53/0.62 inference(scs_inference,[],[15,2])). % 0.53/0.62 cnf(21,plain, % 0.53/0.62 (E(f5(x211,x212),f1(x211,f1(f1(x213,x213),x212)))), % 0.53/0.62 inference(scs_inference,[],[10,2])). % 0.53/0.62 cnf(22,plain, % 0.53/0.62 (E(f5(f1(x221,x221),x222),f1(f1(x223,x223),f1(f1(x224,x224),x222)))), % 0.53/0.62 inference(scs_inference,[],[18,13,10,2,3])). % 0.53/0.62 cnf(24,plain, % 0.53/0.62 (E(f1(f1(x241,x241),f1(f1(x242,x242),x243)),f5(f1(x244,x244),x243))), % 0.53/0.62 inference(scs_inference,[],[22,2])). % 0.53/0.62 cnf(30,plain, % 0.53/0.62 (E(f5(f1(x301,x301),x302),x302)), % 0.53/0.62 inference(scs_inference,[],[14,24,3,2])). % 0.53/0.62 cnf(33,plain, % 0.53/0.62 (~E(f5(f4(a2),a2),f1(x331,x331))), % 0.53/0.62 inference(scs_inference,[],[12,30,3,6])). % 0.53/0.62 cnf(34,plain, % 0.53/0.62 (~E(f5(f4(a2),a2),f5(f1(f1(x341,x341),x342),x342))), % 0.53/0.62 inference(scs_inference,[],[21,33,3])). % 0.53/0.62 cnf(37,plain, % 0.53/0.62 ($false), % 0.53/0.62 inference(scs_inference,[],[13,34,6]), % 0.53/0.62 ['proof']). % 0.53/0.62 % SZS output end Proof % 0.53/0.62 % Total time :0.010000s %------------------------------------------------------------------------------