%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : COL025-1 : TPTP v8.2.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n013.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 04:44:50 EDT 2024 % Result : Unsatisfiable 0.54s 0.60s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : COL025-1 : TPTP v8.2.0. Released v1.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n013.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 : Tue Jun 18 16:27:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.53/0.57 start to proof:theBenchmark % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % File :CSE---1.7 % 0.54/0.60 % Problem :theBenchmark % 0.54/0.60 % Transform :cnf % 0.54/0.60 % Format :tptp:raw % 0.54/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.60 % 0.54/0.60 % Result :Theorem 0.000000s % 0.54/0.60 % Output :CNFRefutation 0.000000s % 0.54/0.60 %------------------------------------------- % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 % File : COL025-1 : TPTP v8.2.0. Released v1.0.0. % 0.54/0.60 % Domain : Combinatory Logic % 0.54/0.60 % Problem : Weak fixed point for B and W % 0.54/0.60 % Version : [WM88] (equality) axioms. % 0.54/0.60 % English : The weak fixed point property holds for the set P consisting % 0.54/0.60 % of the combinators B and W, where ((Bx)y)z = x(yz), (Wx)y % 0.54/0.60 % = (xy)y. % 0.54/0.60 % 0.54/0.60 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi % 0.54/0.60 % : [MW87] McCune & Wos (1987), A Case Study in Automated Theorem % 0.54/0.60 % : [WM88] Wos & McCune (1988), Challenge Problems Focusing on Eq % 0.54/0.60 % : [MW88] McCune & Wos (1988), Some Fixed Point Problems in Comb % 0.54/0.60 % Source : [MW88] % 0.54/0.60 % Names : stage1.in & stage2.in [OTTER] % 0.54/0.60 % : - [MW88] % 0.54/0.60 % 0.54/0.60 % Status : Unsatisfiable % 0.54/0.60 % Rating : 0.14 v8.2.0, 0.21 v8.1.0, 0.25 v7.5.0, 0.21 v7.4.0, 0.26 v7.3.0, 0.21 v7.1.0, 0.11 v7.0.0, 0.05 v6.4.0, 0.16 v6.3.0, 0.06 v6.2.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v5.1.0, 0.07 v5.0.0, 0.00 v2.0.0 % 0.54/0.60 % Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 1 RR) % 0.54/0.60 % Number of literals : 3 ( 3 equ; 1 neg) % 0.54/0.60 % Maximal clause size : 1 ( 1 avg) % 0.54/0.60 % Maximal term depth : 4 ( 2 avg) % 0.54/0.60 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.54/0.60 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty) % 0.54/0.60 % Number of variables : 6 ( 0 sgn) % 0.54/0.60 % SPC : CNF_UNS_RFO_PEQ_UEQ % 0.54/0.60 % 0.54/0.60 % Comments : % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 cnf(b_definition,axiom, % 0.54/0.60 apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ). % 0.54/0.60 % 0.54/0.60 cnf(w_definition,axiom, % 0.54/0.60 apply(apply(w,X),Y) = apply(apply(X,Y),Y) ). % 0.54/0.60 % 0.54/0.60 cnf(prove_fixed_point,negated_conjecture, % 0.54/0.60 Y != apply(combinator,Y) ). % 0.54/0.60 % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % Proof found % 0.54/0.60 % SZS status Theorem for theBenchmark % 0.54/0.60 % SZS output start Proof % 0.54/0.61 %ClaNum:8(EqnAxiom:5) % 0.54/0.61 %VarNum:13(SingletonVarNum:6) % 0.54/0.61 %MaxLitNum:1 % 0.54/0.61 %MaxfuncDepth:3 % 0.54/0.61 %SharedTerms:3 % 0.54/0.61 %goalClause: 8 % 0.54/0.61 %singleGoalClaCount:1 % 0.54/0.61 [8]~E(f2(a4,x81),x81) % 0.54/0.61 [6]E(f2(f2(a1,x61),x62),f2(f2(x61,x62),x62)) % 0.54/0.61 [7]E(f2(f2(f2(a3,x71),x72),x73),f2(x71,f2(x72,x73))) % 0.54/0.61 %EqnAxiom % 0.54/0.61 [1]E(x11,x11) % 0.54/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.61 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 0.54/0.61 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 0.54/0.61 % 0.54/0.61 %------------------------------------------- % 0.54/0.61 cnf(9,plain, % 0.54/0.61 (E(f2(f2(x91,x92),x92),f2(f2(a1,x91),x92))), % 0.54/0.61 inference(scs_inference,[],[6,2])). % 0.54/0.61 cnf(13,plain, % 0.54/0.61 ($false), % 0.54/0.61 inference(scs_inference,[],[8,9,7,2,3]), % 0.54/0.61 ['proof']). % 0.54/0.61 % SZS output end Proof % 0.54/0.61 % Total time :0.000000s %------------------------------------------------------------------------------