%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ132+1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n028.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 13:42:26 EDT 2024 % Result : Theorem 0.48s 0.61s % Output : CNFRefutation 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ132+1 : TPTP v8.2.0. Released v4.1.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n028.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 10:50:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.48/0.56 start to proof:theBenchmark % 0.48/0.60 %------------------------------------------- % 0.48/0.60 % File :CSE---1.7 % 0.48/0.60 % Problem :theBenchmark % 0.48/0.60 % Transform :cnf % 0.48/0.60 % Format :tptp:raw % 0.48/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.48/0.60 % 0.48/0.60 % Result :Theorem 0.010000s % 0.48/0.60 % Output :CNFRefutation 0.010000s % 0.48/0.60 %------------------------------------------- % 0.48/0.60 %------------------------------------------------------------------------------ % 0.48/0.60 % File : PUZ132+1 : TPTP v8.2.0. Released v4.1.0. % 0.48/0.60 % Domain : Puzzles % 0.48/0.60 % Problem : Crime in beautiful Washington % 0.48/0.60 % Version : Especial. % 0.48/0.60 % English : A capital is a city. USA is a country. Every city has crime. % 0.48/0.60 % Washington is the capital of the USA. Every country has a % 0.48/0.60 % beautiful capital. Therefore, Washington is beautiful but has % 0.48/0.60 % crime. % 0.48/0.60 % 0.48/0.60 % Refs : % 0.48/0.60 % Source : [TPTP] % 0.48/0.60 % Names : % 0.48/0.60 % 0.48/0.60 % Status : Theorem % 0.48/0.60 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.00 v6.2.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.00 v5.3.0, 0.04 v5.2.0, 0.00 v4.1.0 % 0.48/0.60 % Syntax : Number of formulae : 11 ( 6 unt; 0 def) % 0.48/0.60 % Number of atoms : 16 ( 1 equ) % 0.48/0.60 % Maximal formula atoms : 2 ( 1 avg) % 0.48/0.60 % Number of connectives : 5 ( 0 ~; 0 |; 1 &) % 0.48/0.60 % ( 0 <=>; 4 =>; 0 <=; 0 <~>) % 0.48/0.60 % Maximal formula depth : 3 ( 2 avg) % 0.48/0.60 % Maximal term depth : 2 ( 1 avg) % 0.48/0.60 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty) % 0.48/0.60 % Number of functors : 3 ( 3 usr; 2 con; 0-1 aty) % 0.48/0.60 % Number of variables : 7 ( 4 !; 3 ?) % 0.48/0.60 % SPC : FOF_THM_RFO_SEQ % 0.48/0.60 % 0.48/0.60 % Comments : % 0.48/0.60 %------------------------------------------------------------------------------ % 0.48/0.60 fof(capital_type,axiom, % 0.48/0.60 ? [A] : capital(A) ). % 0.48/0.60 % 0.48/0.60 fof(city_type,axiom, % 0.48/0.60 ? [A] : city(A) ). % 0.48/0.60 % 0.48/0.60 fof(capital_city_type,axiom, % 0.48/0.60 ! [A] : % 0.48/0.60 ( capital(A) % 0.48/0.60 => city(A) ) ). % 0.48/0.60 % 0.48/0.60 fof(country_type,axiom, % 0.48/0.60 ? [A] : country(A) ). % 0.48/0.60 % 0.48/0.60 fof(washington_type,axiom, % 0.48/0.60 capital(washington) ). % 0.48/0.60 % 0.48/0.60 fof(usa_type,axiom, % 0.48/0.60 country(usa) ). % 0.48/0.60 % 0.48/0.60 fof(country_capital_type,axiom, % 0.48/0.60 ! [A] : % 0.48/0.60 ( country(A) % 0.48/0.60 => capital(capital_city(A)) ) ). % 0.48/0.61 % 0.48/0.61 fof(crime_axiom,axiom, % 0.48/0.61 ! [X] : % 0.48/0.61 ( city(X) % 0.48/0.61 => has_crime(X) ) ). % 0.48/0.61 % 0.48/0.61 fof(usa_capital_axiom,axiom, % 0.48/0.61 capital_city(usa) = washington ). % 0.48/0.61 % 0.48/0.61 fof(beautiful_capital_axiom,axiom, % 0.48/0.61 ! [X] : % 0.48/0.61 ( country(X) % 0.48/0.61 => beautiful(capital_city(X)) ) ). % 0.48/0.61 % 0.48/0.61 fof(washington_conjecture,conjecture, % 0.48/0.61 ( beautiful(washington) % 0.48/0.61 & has_crime(washington) ) ). % 0.48/0.61 % 0.48/0.61 %------------------------------------------------------------------------------ % 0.48/0.61 %------------------------------------------- % 0.48/0.61 % Proof found % 0.48/0.61 % SZS status Theorem for theBenchmark % 0.48/0.61 % SZS output start Proof % 0.48/0.61 %ClaNum:20(EqnAxiom:9) % 0.48/0.61 %VarNum:8(SingletonVarNum:4) % 0.48/0.61 %MaxLitNum:2 % 0.48/0.61 %MaxfuncDepth:1 % 0.48/0.61 %SharedTerms:14 % 0.48/0.61 %goalClause: 16 % 0.48/0.61 [11]P1(a6) % 0.48/0.61 [12]P1(a3) % 0.48/0.61 [13]P3(a4) % 0.48/0.61 [14]P4(a1) % 0.48/0.61 [15]P4(a5) % 0.48/0.61 [10]E(f2(a1),a6) % 0.48/0.61 [16]~P5(a6)+~P2(a6) % 0.48/0.61 [17]~P1(x171)+P3(x171) % 0.48/0.61 [18]~P3(x181)+P5(x181) % 0.48/0.61 [19]~P4(x191)+P1(f2(x191)) % 0.48/0.61 [20]~P4(x201)+P2(f2(x201)) % 0.48/0.61 %EqnAxiom % 0.48/0.61 [1]E(x11,x11) % 0.48/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.48/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.48/0.61 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.48/0.61 [5]~P1(x51)+P1(x52)+~E(x51,x52) % 0.48/0.61 [6]~P4(x61)+P4(x62)+~E(x61,x62) % 0.48/0.61 [7]~P3(x71)+P3(x72)+~E(x71,x72) % 0.48/0.61 [8]~P2(x81)+P2(x82)+~E(x81,x82) % 0.48/0.61 [9]~P5(x91)+P5(x92)+~E(x91,x92) % 0.48/0.61 % 0.48/0.61 %------------------------------------------- % 0.48/0.61 cnf(23,plain, % 0.48/0.61 (~P2(f2(a1))+P2(a6)), % 0.48/0.61 inference(scs_inference,[],[10,11,2,5,8])). % 0.48/0.61 cnf(48,plain, % 0.48/0.61 (~P3(a6)+~P2(a6)), % 0.48/0.61 inference(scs_inference,[],[16,18])). % 0.48/0.61 cnf(49,plain, % 0.48/0.61 (~P2(a6)), % 0.48/0.61 inference(scs_inference,[],[11,48,17])). % 0.48/0.61 cnf(50,plain, % 0.48/0.61 (~P2(f2(a1))), % 0.48/0.61 inference(scs_inference,[],[49,23])). % 0.48/0.61 cnf(53,plain, % 0.48/0.61 ($false), % 0.48/0.61 inference(scs_inference,[],[50,14,20]), % 0.48/0.61 ['proof']). % 0.48/0.61 % SZS output end Proof % 0.48/0.61 % Total time :0.010000s %------------------------------------------------------------------------------