TSTP Solution File: PUZ132+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 : Thu Aug 31 13:11:22 EDT 2023
% Result : Theorem 0.22s 0.65s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 22:55:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 0.22/0.64 %-------------------------------------------
% 0.22/0.64 % File :CSE---1.6
% 0.22/0.64 % Problem :theBenchmark
% 0.22/0.64 % Transform :cnf
% 0.22/0.64 % Format :tptp:raw
% 0.22/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.64
% 0.22/0.64 % Result :Theorem 0.000000s
% 0.22/0.64 % Output :CNFRefutation 0.000000s
% 0.22/0.64 %-------------------------------------------
% 0.22/0.65 %------------------------------------------------------------------------------
% 0.22/0.65 % File : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.22/0.65 % Domain : Puzzles
% 0.22/0.65 % Problem : Crime in beautiful Washington
% 0.22/0.65 % Version : Especial.
% 0.22/0.65 % English : A capital is a city. USA is a country. Every city has crime.
% 0.22/0.65 % Washington is the capital of the USA. Every country has a
% 0.22/0.65 % beautiful capital. Therefore, Washington is beautiful but has
% 0.22/0.65 % crime.
% 0.22/0.65
% 0.22/0.65 % Refs :
% 0.22/0.65 % Source : [TPTP]
% 0.22/0.65 % Names :
% 0.22/0.65
% 0.22/0.65 % Status : Theorem
% 0.22/0.65 % 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
% 0.22/0.65 % Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% 0.22/0.65 % Number of atoms : 16 ( 1 equ)
% 0.22/0.65 % Maximal formula atoms : 2 ( 1 avg)
% 0.22/0.65 % Number of connectives : 5 ( 0 ~; 0 |; 1 &)
% 0.22/0.65 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.22/0.65 % Maximal formula depth : 3 ( 2 avg)
% 0.22/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.22/0.65 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.22/0.65 % Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.22/0.65 % Number of variables : 7 ( 4 !; 3 ?)
% 0.22/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.22/0.65
% 0.22/0.65 % Comments :
% 0.22/0.65 %------------------------------------------------------------------------------
% 0.22/0.65 fof(capital_type,axiom,
% 0.22/0.65 ? [A] : capital(A) ).
% 0.22/0.65
% 0.22/0.65 fof(city_type,axiom,
% 0.22/0.65 ? [A] : city(A) ).
% 0.22/0.65
% 0.22/0.65 fof(capital_city_type,axiom,
% 0.22/0.65 ! [A] :
% 0.22/0.65 ( capital(A)
% 0.22/0.65 => city(A) ) ).
% 0.22/0.65
% 0.22/0.65 fof(country_type,axiom,
% 0.22/0.65 ? [A] : country(A) ).
% 0.22/0.65
% 0.22/0.65 fof(washington_type,axiom,
% 0.22/0.65 capital(washington) ).
% 0.22/0.65
% 0.22/0.65 fof(usa_type,axiom,
% 0.22/0.65 country(usa) ).
% 0.22/0.65
% 0.22/0.65 fof(country_capital_type,axiom,
% 0.22/0.65 ! [A] :
% 0.22/0.65 ( country(A)
% 0.22/0.65 => capital(capital_city(A)) ) ).
% 0.22/0.65
% 0.22/0.65 fof(crime_axiom,axiom,
% 0.22/0.65 ! [X] :
% 0.22/0.65 ( city(X)
% 0.22/0.65 => has_crime(X) ) ).
% 0.22/0.65
% 0.22/0.65 fof(usa_capital_axiom,axiom,
% 0.22/0.65 capital_city(usa) = washington ).
% 0.22/0.65
% 0.22/0.65 fof(beautiful_capital_axiom,axiom,
% 0.22/0.65 ! [X] :
% 0.22/0.65 ( country(X)
% 0.22/0.65 => beautiful(capital_city(X)) ) ).
% 0.22/0.65
% 0.22/0.65 fof(washington_conjecture,conjecture,
% 0.22/0.65 ( beautiful(washington)
% 0.22/0.65 & has_crime(washington) ) ).
% 0.22/0.65
% 0.22/0.65 %------------------------------------------------------------------------------
% 0.22/0.65 %-------------------------------------------
% 0.22/0.65 % Proof found
% 0.22/0.65 % SZS status Theorem for theBenchmark
% 0.22/0.65 % SZS output start Proof
% 0.22/0.65 %ClaNum:20(EqnAxiom:9)
% 0.22/0.65 %VarNum:8(SingletonVarNum:4)
% 0.22/0.65 %MaxLitNum:2
% 0.22/0.65 %MaxfuncDepth:1
% 0.22/0.65 %SharedTerms:14
% 0.22/0.65 %goalClause: 16
% 0.22/0.65 [11]P1(a6)
% 0.22/0.65 [12]P1(a3)
% 0.22/0.65 [13]P3(a4)
% 0.22/0.65 [14]P4(a1)
% 0.22/0.65 [15]P4(a5)
% 0.22/0.65 [10]E(f2(a1),a6)
% 0.22/0.65 [16]~P5(a6)+~P2(a6)
% 0.22/0.65 [17]~P1(x171)+P3(x171)
% 0.22/0.65 [18]~P3(x181)+P5(x181)
% 0.22/0.65 [19]~P4(x191)+P1(f2(x191))
% 0.22/0.65 [20]~P4(x201)+P2(f2(x201))
% 0.22/0.65 %EqnAxiom
% 0.22/0.65 [1]E(x11,x11)
% 0.22/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.22/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.22/0.65 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.22/0.65 [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 0.22/0.65 [6]~P4(x61)+P4(x62)+~E(x61,x62)
% 0.22/0.65 [7]~P3(x71)+P3(x72)+~E(x71,x72)
% 0.22/0.65 [8]~P2(x81)+P2(x82)+~E(x81,x82)
% 0.22/0.65 [9]~P5(x91)+P5(x92)+~E(x91,x92)
% 0.22/0.65
% 0.22/0.65 %-------------------------------------------
% 0.22/0.66 cnf(25,plain,
% 0.22/0.66 (P3(a6)),
% 0.22/0.66 inference(scs_inference,[],[10,11,13,2,5,18,17])).
% 0.22/0.66 cnf(32,plain,
% 0.22/0.66 (~E(a4,x321)+P5(x321)),
% 0.22/0.66 inference(scs_inference,[],[10,11,13,14,15,2,5,18,17,20,19,4,9])).
% 0.22/0.66 cnf(33,plain,
% 0.22/0.66 (P2(a6)),
% 0.22/0.66 inference(scs_inference,[],[10,11,13,14,15,2,5,18,17,20,19,4,9,8])).
% 0.22/0.66 cnf(37,plain,
% 0.22/0.66 (~P5(a6)),
% 0.22/0.66 inference(scs_inference,[],[33,16])).
% 0.22/0.66 cnf(46,plain,
% 0.22/0.66 ($false),
% 0.22/0.66 inference(scs_inference,[],[25,37,32,2,18]),
% 0.22/0.66 ['proof']).
% 0.22/0.66 % SZS output end Proof
% 0.22/0.66 % Total time :0.000000s
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