%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : COL055-1 : 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 : n014.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 04:44:57 EDT 2024 % Result : Unsatisfiable 0.52s 0.60s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : COL055-1 : TPTP v8.2.0. Released v1.0.0. % 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n014.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 15:42:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.52/0.57 start to proof:theBenchmark % 0.52/0.60 %------------------------------------------- % 0.52/0.60 % File :CSE---1.7 % 0.52/0.60 % Problem :theBenchmark % 0.52/0.60 % Transform :cnf % 0.52/0.60 % Format :tptp:raw % 0.52/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.60 % 0.52/0.60 % Result :Theorem 0.000000s % 0.52/0.60 % Output :CNFRefutation 0.000000s % 0.52/0.60 %------------------------------------------- % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 % File : COL055-1 : TPTP v8.2.0. Released v1.0.0. % 0.52/0.60 % Domain : Combinatory Logic % 0.52/0.60 % Problem : Happy Birds % 0.52/0.60 % Version : Especial. % 0.52/0.60 % English : There exists a bird which is fond of some other bird. Prove % 0.52/0.60 % that any bird that is fond of at least one bird must % 0.52/0.60 % be happy. % 0.52/0.60 % 0.52/0.60 % Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi % 0.52/0.60 % Source : [ANL] % 0.52/0.60 % Names : bird7.ver1.in [ANL] % 0.52/0.60 % 0.52/0.60 % Status : Unsatisfiable % 0.52/0.60 % Rating : 0.00 v5.3.0, 0.10 v5.2.0, 0.00 v2.0.0 % 0.52/0.60 % Syntax : Number of clauses : 2 ( 1 unt; 0 nHn; 2 RR) % 0.52/0.60 % Number of literals : 3 ( 3 equ; 2 neg) % 0.52/0.60 % Maximal clause size : 2 ( 1 avg) % 0.52/0.60 % Maximal term depth : 2 ( 1 avg) % 0.52/0.60 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.52/0.60 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty) % 0.52/0.60 % Number of variables : 2 ( 0 sgn) % 0.52/0.60 % SPC : CNF_UNS_RFO_PEQ_NUE % 0.52/0.60 % 0.52/0.60 % Comments : % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 %----First part of denial clause: there exists a bird which is fond % 0.52/0.60 %----of some other bird. % 0.52/0.60 cnf(fond_bird_exists,hypothesis, % 0.52/0.60 response(a,b) = b ). % 0.52/0.60 % 0.52/0.60 %----Hypothesis: Any bird that is fond of at least one bird must be happy. % 0.52/0.60 %---- - FAx [If TEy (xy = y) then TEz TEw (xz = w) and (xw = z)]. % 0.52/0.60 %---- TEx -[- TEy (xy = y) | TEz TEw ((xz = w) and (xw = z))]. % 0.52/0.60 %---- TEx [ TEy (xy = y) and - TEz TEw ((xz = w) and (xw = z)) ]. % 0.52/0.60 %---- TEx [ TEy (xy = y) and FAz FAw -((xz = w) and (xw = z)) ]. % 0.52/0.60 %---- TEy (Ay = y) and FAz FAw -[(Az = w) and (Aw = z)]. % 0.52/0.60 %---- (AB = B) and [-(Az = w) | -(Aw = z)]. % 0.52/0.60 %---- Placing (AB = B) in the list of axiom, we have: % 0.52/0.60 cnf(prove_happiness,negated_conjecture, % 0.52/0.60 ( response(a,Z) != W % 0.52/0.60 | response(a,W) != Z ) ). % 0.52/0.60 % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 %------------------------------------------- % 0.52/0.60 % Proof found % 0.52/0.60 % SZS status Theorem for theBenchmark % 0.52/0.60 % SZS output start Proof % 0.52/0.60 %ClaNum:7(EqnAxiom:5) % 0.52/0.60 %VarNum:4(SingletonVarNum:2) % 0.52/0.60 %MaxLitNum:2 % 0.52/0.60 %MaxfuncDepth:1 % 0.52/0.60 %SharedTerms:4 % 0.52/0.60 %goalClause: 7 % 0.52/0.60 [6]E(f3(a1,a2),a2) % 0.52/0.60 [7]~E(f3(a1,x72),x71)+~E(f3(a1,x71),x72) % 0.52/0.60 %EqnAxiom % 0.52/0.60 [1]E(x11,x11) % 0.52/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.60 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.52/0.60 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.52/0.60 % 0.52/0.60 %------------------------------------------- % 0.52/0.61 cnf(8,plain, % 0.52/0.61 ($false), % 0.52/0.61 inference(scs_inference,[],[6,7]), % 0.52/0.61 ['proof']). % 0.52/0.61 % SZS output end Proof % 0.52/0.61 % Total time :0.000000s %------------------------------------------------------------------------------