%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : COL029-1 : TPTP v8.2.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n004.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 0.45s 0.61s % Output : CNFRefutation 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : COL029-1 : TPTP v8.2.0. Released v1.0.0. % 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Jun 18 16:40:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.45/0.58 start to proof:theBenchmark % 0.45/0.60 %------------------------------------------- % 0.45/0.60 % File :CSE---1.7 % 0.45/0.60 % Problem :theBenchmark % 0.45/0.60 % Transform :cnf % 0.45/0.60 % Format :tptp:raw % 0.45/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.45/0.60 % 0.45/0.60 % Result :Theorem 0.000000s % 0.45/0.60 % Output :CNFRefutation 0.000000s % 0.45/0.60 %------------------------------------------- % 0.45/0.61 %-------------------------------------------------------------------------- % 0.45/0.61 % File : COL029-1 : TPTP v8.2.0. Released v1.0.0. % 0.45/0.61 % Domain : Combinatory Logic % 0.45/0.61 % Problem : Strong fixed point for U % 0.45/0.61 % Version : [WM88] (equality) axioms. % 0.45/0.61 % English : The strong fixed point property holds for the set % 0.45/0.61 % P consisting of the combinator U, where (Ux)y = y((xx)y). % 0.45/0.61 % 0.45/0.61 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi % 0.45/0.61 % : [MW87] McCune & Wos (1987), A Case Study in Automated Theorem % 0.45/0.61 % : [WM88] Wos & McCune (1988), Challenge Problems Focusing on Eq % 0.45/0.61 % : [MW88] McCune & Wos (1988), Some Fixed Point Problems in Comb % 0.45/0.61 % : [Wos93] Wos (1993), The Kernel Strategy and Its Use for the St % 0.45/0.61 % Source : [MW88] % 0.45/0.61 % Names : - [MW88] % 0.45/0.61 % : Question 1 [Wos93] % 0.45/0.61 % 0.45/0.61 % Status : Unsatisfiable % 0.45/0.61 % Rating : 0.05 v8.2.0, 0.08 v8.1.0, 0.15 v7.5.0, 0.08 v7.4.0, 0.13 v7.3.0, 0.11 v7.1.0, 0.06 v7.0.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.0.0 % 0.45/0.61 % Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 1 RR) % 0.45/0.61 % Number of literals : 2 ( 2 equ; 1 neg) % 0.45/0.61 % Maximal clause size : 1 ( 1 avg) % 0.45/0.61 % Maximal term depth : 4 ( 2 avg) % 0.45/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.45/0.61 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty) % 0.45/0.61 % Number of variables : 3 ( 0 sgn) % 0.45/0.61 % SPC : CNF_UNS_RFO_PEQ_UEQ % 0.45/0.61 % 0.45/0.61 % Comments : % 0.45/0.61 %-------------------------------------------------------------------------- % 0.45/0.61 cnf(u_definition,axiom, % 0.45/0.61 apply(apply(u,X),Y) = apply(Y,apply(apply(X,X),Y)) ). % 0.45/0.61 % 0.45/0.61 cnf(prove_fixed_point,negated_conjecture, % 0.45/0.61 apply(Y,f(Y)) != apply(f(Y),apply(Y,f(Y))) ). % 0.45/0.61 % 0.45/0.61 %-------------------------------------------------------------------------- % 0.45/0.61 %------------------------------------------- % 0.45/0.61 % Proof found % 0.45/0.61 % SZS status Theorem for theBenchmark % 0.45/0.61 % SZS output start Proof % 0.45/0.61 %ClaNum:8(EqnAxiom:6) % 0.45/0.61 %VarNum:11(SingletonVarNum:3) % 0.45/0.61 %MaxLitNum:1 % 0.45/0.61 %MaxfuncDepth:3 % 0.45/0.61 %SharedTerms:1 % 0.45/0.61 %goalClause: 8 % 0.45/0.61 %singleGoalClaCount:1 % 0.45/0.61 [8]~E(f1(f3(x81),f1(x81,f3(x81))),f1(x81,f3(x81))) % 0.45/0.61 [7]E(f1(x71,f1(f1(x72,x72),x71)),f1(f1(a2,x72),x71)) % 0.45/0.61 %EqnAxiom % 0.45/0.61 [1]E(x11,x11) % 0.45/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.45/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.45/0.61 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43)) % 0.45/0.61 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52)) % 0.45/0.61 [6]~E(x61,x62)+E(f3(x61),f3(x62)) % 0.45/0.61 % 0.45/0.61 %------------------------------------------- % 0.45/0.61 cnf(9,plain, % 0.45/0.61 ($false), % 0.45/0.61 inference(scs_inference,[],[8,7]), % 0.45/0.61 ['proof']). % 0.45/0.61 % SZS output end Proof % 0.45/0.61 % Total time :0.000000s %------------------------------------------------------------------------------