%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP525-1 : 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 : n001.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 06:39:51 EDT 2024 % Result : Unsatisfiable 59.63s 59.66s % Output : CNFRefutation 59.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP525-1 : TPTP v8.2.0. Released v2.6.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n001.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Thu Jun 20 07:43:54 EDT 2024 % 0.11/0.33 % CPUTime : % 0.52/0.57 start to proof:theBenchmark % 59.63/59.64 %------------------------------------------- % 59.63/59.64 % File :CSE---1.7 % 59.63/59.64 % Problem :theBenchmark % 59.63/59.64 % Transform :cnf % 59.63/59.64 % Format :tptp:raw % 59.63/59.64 % Command :java -jar mcs_scs.jar %d %s % 59.63/59.64 % 59.63/59.64 % Result :Theorem 59.050000s % 59.63/59.64 % Output :CNFRefutation 59.050000s % 59.63/59.64 %------------------------------------------- % 59.63/59.66 %-------------------------------------------------------------------------- % 59.63/59.66 % File : GRP525-1 : TPTP v8.2.0. Released v2.6.0. % 59.63/59.66 % Domain : Group Theory (Abelian) % 59.63/59.66 % Problem : Axiom for Abelian group theory, in division, part 1 % 59.63/59.66 % Version : [McC93] (equality) axioms. % 59.63/59.66 % English : % 59.63/59.66 % 59.63/59.66 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr % 59.63/59.66 % Source : [TPTP] % 59.63/59.66 % Names : % 59.63/59.66 % 59.63/59.66 % Status : Unsatisfiable % 59.63/59.66 % Rating : 0.05 v8.2.0, 0.00 v7.4.0, 0.04 v7.3.0, 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, 0.14 v5.5.0, 0.11 v5.4.0, 0.00 v5.1.0, 0.07 v5.0.0, 0.00 v2.6.0 % 59.63/59.66 % Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 1 RR) % 59.63/59.66 % Number of literals : 4 ( 4 equ; 1 neg) % 59.63/59.66 % Maximal clause size : 1 ( 1 avg) % 59.63/59.66 % Maximal term depth : 4 ( 2 avg) % 59.63/59.66 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 59.63/59.66 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty) % 59.63/59.66 % Number of variables : 8 ( 0 sgn) % 59.63/59.66 % SPC : CNF_UNS_RFO_PEQ_UEQ % 59.63/59.66 % 59.63/59.66 % Comments : A UEQ part of GRP089-1 % 59.63/59.66 %-------------------------------------------------------------------------- % 59.63/59.66 cnf(single_axiom,axiom, % 59.63/59.66 divide(A,divide(divide(A,B),divide(C,B))) = C ). % 59.63/59.66 % 59.63/59.66 cnf(multiply,axiom, % 59.63/59.66 multiply(A,B) = divide(A,divide(divide(C,C),B)) ). % 59.63/59.66 % 59.63/59.66 cnf(inverse,axiom, % 59.63/59.66 inverse(A) = divide(divide(B,B),A) ). % 59.63/59.66 % 59.63/59.66 cnf(prove_these_axioms_1,negated_conjecture, % 59.63/59.66 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ). % 59.63/59.66 % 59.63/59.66 %-------------------------------------------------------------------------- % 59.63/59.66 %------------------------------------------- % 59.63/59.66 % Proof found % 59.63/59.66 % SZS status Theorem for theBenchmark % 59.63/59.66 % SZS output start Proof % 59.63/59.68 %ClaNum:12(EqnAxiom:8) % 59.63/59.68 %VarNum:16(SingletonVarNum:8) % 59.63/59.68 %MaxLitNum:1 % 59.63/59.68 %MaxfuncDepth:3 % 59.63/59.69 %SharedTerms:7 % 59.63/59.69 %goalClause: 12 % 59.63/59.69 %singleGoalClaCount:1 % 59.63/59.69 [12]~E(f5(f4(a2),a2),f5(f4(a3),a3)) % 59.63/59.69 [9]E(f1(f1(x91,x91),x92),f4(x92)) % 59.63/59.69 [10]E(f1(x101,f1(f1(x102,x102),x103)),f5(x101,x103)) % 59.63/59.69 [11]E(f1(x111,f1(f1(x111,x112),f1(x113,x112))),x113) % 59.63/59.69 %EqnAxiom % 59.63/59.69 [1]E(x11,x11) % 59.63/59.69 [2]E(x22,x21)+~E(x21,x22) % 59.63/59.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 59.63/59.69 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43)) % 59.63/59.69 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52)) % 59.63/59.69 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 59.63/59.69 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 59.63/59.69 [8]~E(x81,x82)+E(f4(x81),f4(x82)) % 59.63/59.69 % 59.63/59.69 %------------------------------------------- % 59.70/59.71 cnf(13,plain, % 59.70/59.71 (E(f4(x131),f1(f1(x132,x132),x131))), % 59.70/59.71 inference(scs_inference,[],[9,2])). % 59.70/59.71 cnf(14,plain, % 59.70/59.71 (~E(f5(f4(a2),a2),f1(f4(a3),f1(f1(x141,x141),a3)))), % 59.70/59.71 inference(scs_inference,[],[12,9,10,2,3])). % 59.70/59.71 cnf(16,plain, % 59.70/59.71 (E(x161,f1(x162,f1(f1(x162,x163),f1(x161,x163))))), % 59.70/59.71 inference(scs_inference,[],[11,2])). % 59.70/59.71 cnf(17,plain, % 59.70/59.71 (E(f5(x171,x172),f1(x171,f1(f1(x173,x173),x172)))), % 59.70/59.71 inference(scs_inference,[],[10,2])). % 59.70/59.71 cnf(27,plain, % 59.70/59.71 (E(f4(f1(f1(x271,x271),x272)),f5(f1(x273,x273),x272))), % 59.70/59.71 inference(scs_inference,[],[17,9,3,2])). % 59.70/59.71 cnf(28,plain, % 59.70/59.71 (E(f1(f1(x281,x281),f1(f1(x282,x282),x283)),f5(f1(x284,x284),x283))), % 59.70/59.71 inference(scs_inference,[],[9,27,3])). % 59.70/59.71 cnf(31,plain, % 59.70/59.71 (E(x311,f5(f1(x312,x312),f1(x311,f1(x313,x313))))), % 59.70/59.71 inference(scs_inference,[],[16,28,3])). % 59.70/59.71 cnf(34,plain, % 59.70/59.71 (E(f5(f1(x341,x341),f1(x342,f1(x343,x343))),x342)), % 59.70/59.71 inference(scs_inference,[],[16,28,3,2])). % 59.70/59.71 cnf(35,plain, % 59.70/59.71 (E(f5(f1(x351,x351),x352),f5(f1(x353,x353),x352))), % 59.70/59.71 inference(scs_inference,[],[17,28,3])). % 59.70/59.71 cnf(47,plain, % 59.70/59.71 (~E(f5(f4(a2),a2),f5(f1(x471,x471),f1(f5(f4(a3),a3),f1(x472,x472))))), % 59.70/59.71 inference(scs_inference,[],[12,34,3])). % 59.70/59.71 cnf(53,plain, % 59.70/59.71 (E(f1(f1(f1(x531,x531),x532),x533),f1(f4(x532),x533))), % 59.70/59.71 inference(scs_inference,[],[9,8,4])). % 59.70/59.71 cnf(54,plain, % 59.70/59.71 (E(f1(x541,f1(f1(x542,x542),x543)),f1(x541,f4(x543)))), % 59.70/59.71 inference(scs_inference,[],[9,8,4,5])). % 59.70/59.71 cnf(55,plain, % 59.70/59.71 (E(f5(f1(f1(x551,x551),x552),x553),f5(f4(x552),x553))), % 59.70/59.71 inference(scs_inference,[],[9,8,4,5,6])). % 59.70/59.71 cnf(56,plain, % 59.70/59.71 (E(f5(x561,f1(f1(x562,x562),x563)),f5(x561,f4(x563)))), % 59.70/59.71 inference(scs_inference,[],[9,8,4,5,6,7])). % 59.70/59.71 cnf(57,plain, % 59.70/59.71 (~E(f1(f4(a3),f1(f1(x571,x571),a3)),f5(f4(a2),a2))), % 59.70/59.71 inference(scs_inference,[],[9,14,8,4,5,6,7,2])). % 59.70/59.71 cnf(60,plain, % 59.70/59.71 (E(f1(f4(x601),x602),f1(f1(f1(x603,x603),x601),x602))), % 59.70/59.71 inference(scs_inference,[],[13,4])). % 59.70/59.71 cnf(61,plain, % 59.70/59.71 (E(f5(x611,f4(x612)),f5(x611,f1(f1(x613,x613),x612)))), % 59.70/59.71 inference(scs_inference,[],[13,4,7])). % 59.70/59.71 cnf(63,plain, % 59.70/59.71 (E(f1(x631,f4(x632)),f1(x631,f1(f1(x633,x633),x632)))), % 59.70/59.71 inference(scs_inference,[],[13,4,7,8,5])). % 59.70/59.71 cnf(64,plain, % 59.70/59.71 (E(f5(f4(x641),x642),f5(f1(f1(x643,x643),x641),x642))), % 59.70/59.71 inference(scs_inference,[],[13,4,7,8,5,6])). % 59.70/59.71 cnf(69,plain, % 59.70/59.71 (~E(f1(f4(a3),f4(a3)),f5(f4(a2),a2))), % 59.70/59.71 inference(scs_inference,[],[54,57,47,2,3])). % 59.70/59.71 cnf(72,plain, % 59.70/59.71 (~E(f5(f4(a2),a2),f1(f4(a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[69,2])). % 59.70/59.71 cnf(73,plain, % 59.70/59.71 (E(f5(f1(x731,x731),f1(f1(x732,x732),x733)),f5(f1(x734,x734),f4(x733)))), % 59.70/59.71 inference(scs_inference,[],[35,69,56,2,3])). % 59.70/59.71 cnf(77,plain, % 59.70/59.71 (~E(f5(f1(f1(x771,x771),a2),a2),f1(f4(a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[72,64,12,2,3])). % 59.70/59.71 cnf(79,plain, % 59.70/59.71 (~E(f1(f4(a3),f4(a3)),f5(f1(f1(x791,x791),a2),a2))), % 59.70/59.71 inference(scs_inference,[],[77,2])). % 59.70/59.71 cnf(80,plain, % 59.70/59.71 (E(f5(f1(x801,x801),f1(f1(x802,x802),x803)),f5(f4(f1(x804,x804)),f4(x803)))), % 59.70/59.71 inference(scs_inference,[],[55,73,77,2,3])). % 59.70/59.71 cnf(83,plain, % 59.70/59.71 (~E(f1(f1(f1(x831,x831),a3),f4(a3)),f5(f1(f1(x832,x832),a2),a2))), % 59.70/59.71 inference(scs_inference,[],[60,79,3])). % 59.70/59.71 cnf(86,plain, % 59.70/59.71 (~E(f1(f1(f1(x861,x861),a3),f4(a3)),f5(f4(a2),a2))), % 59.70/59.71 inference(scs_inference,[],[83,69,60,2,3])). % 59.70/59.71 cnf(88,plain, % 59.70/59.71 (~E(f5(f4(a2),a2),f1(f1(f1(x881,x881),a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[86,2])). % 59.70/59.71 cnf(100,plain, % 59.70/59.71 (~E(f1(f4(a2),f1(f1(x1001,x1001),a2)),f1(f1(f1(x1002,x1002),a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[17,88,3])). % 59.70/59.71 cnf(102,plain, % 59.70/59.71 (~E(f1(f1(f1(x1021,x1021),a3),f4(a3)),f1(f4(a2),f1(f1(x1022,x1022),a2)))), % 59.70/59.71 inference(scs_inference,[],[17,88,3,2])). % 59.70/59.71 cnf(103,plain, % 59.70/59.71 (~E(f1(f4(a3),f4(a3)),f1(f4(a2),f1(f1(x1031,x1031),a2)))), % 59.70/59.71 inference(scs_inference,[],[53,102,3])). % 59.70/59.71 cnf(105,plain, % 59.70/59.71 (~E(f1(f4(a2),f1(f1(x1051,x1051),a2)),f1(f4(a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[103,2])). % 59.70/59.71 cnf(106,plain, % 59.70/59.71 (~E(f1(f4(a2),f4(a2)),f1(f1(f1(x1061,x1061),a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[103,100,54,2,3])). % 59.70/59.71 cnf(110,plain, % 59.70/59.71 (~E(f1(f4(a2),f4(a2)),f1(f4(a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[106,105,54,2,3])). % 59.70/59.71 cnf(112,plain, % 59.70/59.71 (~E(f1(f4(a3),f4(a3)),f1(f4(a2),f4(a2)))), % 59.70/59.71 inference(scs_inference,[],[110,2])). % 59.70/59.71 cnf(113,plain, % 59.70/59.71 (~E(f1(f1(f1(x1131,x1131),a2),f1(f1(x1132,x1132),a2)),f1(f4(a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[17,110,77,2,3])). % 59.70/59.71 cnf(116,plain, % 59.70/59.71 (~E(f1(f4(a3),f1(f1(x1161,x1161),a3)),f1(f4(a2),f4(a2)))), % 59.70/59.71 inference(scs_inference,[],[112,113,63,2,3])). % 59.70/59.71 cnf(118,plain, % 59.70/59.71 (~E(f1(f4(a2),f4(a2)),f1(f4(a3),f1(f1(x1181,x1181),a3)))), % 59.70/59.71 inference(scs_inference,[],[116,2])). % 59.70/59.71 cnf(131,plain, % 59.70/59.71 (~E(f1(f1(f1(x1311,x1311),a2),f4(a2)),f1(f4(a3),f1(f1(x1312,x1312),a3)))), % 59.70/59.71 inference(scs_inference,[],[118,60,3])). % 59.70/59.71 cnf(133,plain, % 59.70/59.71 (~E(f1(f4(a3),f1(f1(x1331,x1331),a3)),f1(f1(f1(x1332,x1332),a2),f4(a2)))), % 59.70/59.71 inference(scs_inference,[],[131,2])). % 59.70/59.71 cnf(136,plain, % 59.70/59.71 (~E(f1(f1(f1(x1361,x1361),a2),f4(a2)),f5(f4(a3),a3))), % 59.70/59.71 inference(scs_inference,[],[133,10,3,2])). % 59.70/59.71 cnf(137,plain, % 59.70/59.71 (~E(f1(f4(a2),f4(a2)),f5(f4(a3),a3))), % 59.70/59.71 inference(scs_inference,[],[136,53,3])). % 59.70/59.71 cnf(144,plain, % 59.70/59.71 (~E(f5(f1(x1441,x1441),f1(f1(f4(a2),f4(a2)),f1(x1442,x1442))),f5(f4(a3),a3))), % 59.70/59.71 inference(scs_inference,[],[31,137,3])). % 59.70/59.71 cnf(147,plain, % 59.70/59.71 (~E(f5(f4(f1(x1471,x1471)),f4(f1(x1472,x1472))),f5(f4(a3),a3))), % 59.70/59.71 inference(scs_inference,[],[80,144,3])). % 59.70/59.71 cnf(153,plain, % 59.70/59.71 (~E(f5(f4(f1(x1531,x1531)),f1(f1(x1532,x1532),f1(x1533,x1533))),f5(f4(a3),a3))), % 59.70/59.71 inference(scs_inference,[],[61,147,3])). % 59.70/59.71 cnf(156,plain, % 59.70/59.71 (~E(f5(f1(x1561,x1561),f1(f1(f4(a2),f4(a2)),f1(x1562,x1562))),f1(f4(a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[31,153,110,2,3])). % 59.70/59.71 cnf(159,plain, % 59.70/59.71 (~E(f5(f1(x1591,x1591),f4(f1(x1592,x1592))),f1(f4(a3),f4(a3)))), % 59.70/59.71 inference(scs_inference,[],[156,56,2,3])). % 59.70/59.71 cnf(161,plain, % 59.70/59.71 (~E(f1(f4(a3),f4(a3)),f5(f1(x1611,x1611),f4(f1(x1612,x1612))))), % 59.70/59.71 inference(scs_inference,[],[159,2])). % 59.70/59.71 cnf(162,plain, % 59.70/59.71 (~E(f5(f1(x1621,x1621),f1(f1(f4(a3),f4(a3)),f1(x1622,x1622))),f5(f4(a2),a2))), % 59.70/59.71 inference(scs_inference,[],[31,159,69,2,3])). % 59.70/59.71 cnf(165,plain, % 59.70/59.71 (~E(f5(f1(x1651,x1651),f4(f1(x1652,x1652))),f5(f4(a2),a2))), % 59.70/59.71 inference(scs_inference,[],[162,73,2,3])). % 59.70/59.71 cnf(168,plain, % 59.70/59.71 ($false), % 59.70/59.71 inference(scs_inference,[],[31,165,161,56,2,3]), % 59.70/59.71 ['proof']). % 59.70/59.71 % SZS output end Proof % 59.70/59.71 % Total time :59.050000s %------------------------------------------------------------------------------