TSTP Solution File: PUZ130+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ130+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 : n026.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 13:11:21 EDT 2023
% Result : Theorem 0.19s 0.68s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n026.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 : Sat Aug 26 22:37:03 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.60 start to proof:theBenchmark
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 % File :CSE---1.6
% 0.19/0.67 % Problem :theBenchmark
% 0.19/0.67 % Transform :cnf
% 0.19/0.67 % Format :tptp:raw
% 0.19/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.67
% 0.19/0.67 % Result :Theorem 0.020000s
% 0.19/0.67 % Output :CNFRefutation 0.020000s
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 %------------------------------------------------------------------------------
% 0.19/0.67 % File : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.19/0.67 % Domain : Puzzles
% 0.19/0.67 % Problem : Garfield and Odie
% 0.19/0.67 % Version : Especial.
% 0.19/0.67 % English : Garfield is a cat and Odie is a dog. Cats and dogs are pets. Jon
% 0.19/0.67 % is a human. Every pet has a human owner. Jon owns Garfield and
% 0.19/0.67 % Odie, and they are the only cat and dog he owns. If a dog chases
% 0.19/0.67 % a cat, then the cat's owner hates the dog's owner. Odie has chased
% 0.19/0.67 % Garfield. Therefore, Jon hates himself.
% 0.19/0.67
% 0.19/0.67 % Refs :
% 0.19/0.67 % Source : [TPTP]
% 0.19/0.67 % Names :
% 0.19/0.67
% 0.19/0.67 % Status : Theorem
% 0.19/0.67 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.00 v4.1.0
% 0.19/0.67 % Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% 0.19/0.67 % Number of atoms : 34 ( 3 equ)
% 0.19/0.67 % Maximal formula atoms : 4 ( 1 avg)
% 0.19/0.67 % Number of connectives : 15 ( 0 ~; 0 |; 3 &)
% 0.19/0.67 % ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% 0.19/0.67 % Maximal formula depth : 5 ( 3 avg)
% 0.19/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.67 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty)
% 0.19/0.67 % Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% 0.19/0.67 % Number of variables : 17 ( 12 !; 5 ?)
% 0.19/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.67
% 0.19/0.67 % Comments :
% 0.19/0.67 %------------------------------------------------------------------------------
% 0.19/0.67 fof(cat_type,axiom,
% 0.19/0.67 ? [A] : cat(A) ).
% 0.19/0.67
% 0.19/0.67 fof(garfield_type,axiom,
% 0.19/0.67 cat(garfield) ).
% 0.19/0.67
% 0.19/0.67 fof(dog_type,axiom,
% 0.19/0.67 ? [A] : dog(A) ).
% 0.19/0.67
% 0.19/0.67 fof(odie_type,axiom,
% 0.19/0.67 dog(odie) ).
% 0.19/0.67
% 0.19/0.67 fof(pet_type,axiom,
% 0.19/0.67 ? [A] : pet(A) ).
% 0.19/0.67
% 0.19/0.67 fof(dog_pet_type,axiom,
% 0.19/0.67 ! [A] :
% 0.19/0.67 ( dog(A)
% 0.19/0.67 => pet(A) ) ).
% 0.19/0.67
% 0.19/0.67 fof(cat_pet_type,axiom,
% 0.19/0.67 ! [A] :
% 0.19/0.67 ( cat(A)
% 0.19/0.67 => pet(A) ) ).
% 0.19/0.67
% 0.19/0.67 fof(human_type,axiom,
% 0.19/0.67 ? [A] : human(A) ).
% 0.19/0.67
% 0.19/0.67 fof(jon_type,axiom,
% 0.19/0.67 human(jon) ).
% 0.19/0.67
% 0.19/0.67 fof(owner_of_type,axiom,
% 0.19/0.67 ! [A] :
% 0.19/0.67 ( pet(A)
% 0.19/0.67 => human(owner_of(A)) ) ).
% 0.19/0.67
% 0.19/0.67 fof(pet_owner_axiom,axiom,
% 0.19/0.67 ! [X] :
% 0.19/0.67 ( pet(X)
% 0.19/0.67 => ? [Y] :
% 0.19/0.67 ( human(Y)
% 0.19/0.67 & owner(X,Y) ) ) ).
% 0.19/0.67
% 0.19/0.67 fof(jon_o_owner_axiom,axiom,
% 0.19/0.67 owner(jon,odie) ).
% 0.19/0.67
% 0.19/0.67 fof(jon_g_owner_axiom,axiom,
% 0.19/0.67 owner(jon,garfield) ).
% 0.19/0.67
% 0.19/0.67 fof(jon_only_g_owner_axiom,axiom,
% 0.19/0.67 ! [X] :
% 0.19/0.67 ( ! [X] :
% 0.19/0.67 ( cat(X)
% 0.19/0.67 => owner(jon,X) )
% 0.19/0.67 => X = garfield ) ).
% 0.19/0.67
% 0.19/0.67 fof(jon_only_o_owner_axiom,axiom,
% 0.19/0.67 ! [X] :
% 0.19/0.67 ( ! [X] :
% 0.19/0.67 ( dog(X)
% 0.19/0.67 => owner(jon,X) )
% 0.19/0.67 => X = odie ) ).
% 0.19/0.67
% 0.19/0.67 fof(cat_chase_axiom,axiom,
% 0.19/0.67 ! [X,Y] :
% 0.19/0.67 ( ( cat(X)
% 0.19/0.67 & dog(Y) )
% 0.19/0.67 => ( chased(Y,X)
% 0.19/0.67 => hates(owner_of(X),owner_of(Y)) ) ) ).
% 0.19/0.67
% 0.19/0.67 fof(owner_def,axiom,
% 0.19/0.67 ! [X,Y] :
% 0.19/0.67 ( ( human(X)
% 0.19/0.67 & pet(Y) )
% 0.19/0.67 => ( owner(X,Y)
% 0.19/0.67 <=> X = owner_of(Y) ) ) ).
% 0.19/0.67
% 0.19/0.67 fof(odie_chase_axiom,axiom,
% 0.19/0.67 chased(odie,garfield) ).
% 0.19/0.67
% 0.19/0.67 fof(jon_conjecture,conjecture,
% 0.19/0.67 hates(jon,jon) ).
% 0.19/0.67
% 0.19/0.67 %------------------------------------------------------------------------------
% 0.19/0.67 %-------------------------------------------
% 0.19/0.68 % Proof found
% 0.19/0.68 % SZS status Theorem for theBenchmark
% 0.19/0.68 % SZS output start Proof
% 0.19/0.68 %ClaNum:38(EqnAxiom:15)
% 0.19/0.68 %VarNum:33(SingletonVarNum:15)
% 0.19/0.68 %MaxLitNum:4
% 0.19/0.68 %MaxfuncDepth:1
% 0.19/0.68 %SharedTerms:24
% 0.19/0.68 %goalClause: 26
% 0.19/0.68 %singleGoalClaCount:1
% 0.19/0.68 [16]P1(a1)
% 0.19/0.68 [17]P1(a2)
% 0.19/0.68 [18]P2(a9)
% 0.19/0.68 [19]P2(a3)
% 0.19/0.68 [20]P4(a4)
% 0.19/0.68 [21]P5(a10)
% 0.19/0.68 [22]P5(a5)
% 0.19/0.68 [23]P7(a10,a1)
% 0.19/0.68 [24]P7(a10,a9)
% 0.19/0.68 [25]P3(a9,a1)
% 0.19/0.68 [26]~P6(a10,a10)
% 0.19/0.68 [27]E(x271,a1)+P1(a6)
% 0.19/0.68 [28]E(x281,a9)+P2(a8)
% 0.19/0.68 [29]~P1(x291)+P4(x291)
% 0.19/0.68 [30]~P2(x301)+P4(x301)
% 0.19/0.68 [33]E(x331,a1)+~P7(a10,a6)
% 0.19/0.68 [34]E(x341,a9)+~P7(a10,a8)
% 0.19/0.68 [31]~P4(x311)+P5(f11(x311))
% 0.19/0.68 [32]~P4(x321)+P5(f7(x321))
% 0.19/0.68 [35]~P4(x351)+P7(x351,f7(x351))
% 0.19/0.68 [36]~P4(x362)+~P5(x361)+P7(x361,x362)+~E(x361,f11(x362))
% 0.19/0.68 [37]~P4(x372)+~P5(x371)+~P7(x371,x372)+E(x371,f11(x372))
% 0.19/0.68 [38]~P1(x381)+~P2(x382)+~P3(x382,x381)+P6(f11(x381),f11(x382))
% 0.19/0.68 %EqnAxiom
% 0.19/0.68 [1]E(x11,x11)
% 0.19/0.68 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.68 [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.19/0.68 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.19/0.68 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.19/0.68 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73)
% 0.19/0.68 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81)
% 0.19/0.68 [9]~P2(x91)+P2(x92)+~E(x91,x92)
% 0.19/0.68 [10]~P5(x101)+P5(x102)+~E(x101,x102)
% 0.19/0.68 [11]~P4(x111)+P4(x112)+~E(x111,x112)
% 0.19/0.68 [12]P7(x122,x123)+~E(x121,x122)+~P7(x121,x123)
% 0.19/0.68 [13]P7(x133,x132)+~E(x131,x132)+~P7(x133,x131)
% 0.19/0.68 [14]P6(x142,x143)+~E(x141,x142)+~P6(x141,x143)
% 0.19/0.68 [15]P6(x153,x152)+~E(x151,x152)+~P6(x153,x151)
% 0.19/0.68
% 0.19/0.68 %-------------------------------------------
% 0.19/0.68 cnf(39,plain,
% 0.19/0.68 (P4(a9)),
% 0.19/0.68 inference(scs_inference,[],[18,30])).
% 0.19/0.68 cnf(47,plain,
% 0.19/0.68 (~P6(a10,x471)+~E(x471,a10)),
% 0.19/0.68 inference(scs_inference,[],[26,16,18,20,30,29,35,32,31,15])).
% 0.19/0.68 cnf(48,plain,
% 0.19/0.68 (E(a10,f11(a1))),
% 0.19/0.68 inference(scs_inference,[],[26,16,18,20,21,23,30,29,35,32,31,15,37])).
% 0.19/0.68 cnf(50,plain,
% 0.19/0.68 (P6(f11(a1),f11(a9))),
% 0.19/0.68 inference(scs_inference,[],[26,16,18,20,21,23,25,30,29,35,32,31,15,37,38])).
% 0.19/0.68 cnf(52,plain,
% 0.19/0.68 (E(f11(a1),a10)),
% 0.19/0.68 inference(scs_inference,[],[26,16,18,20,21,23,25,30,29,35,32,31,15,37,38,2])).
% 0.19/0.68 cnf(70,plain,
% 0.19/0.68 (~E(a10,f11(a9))),
% 0.19/0.68 inference(scs_inference,[],[26,24,21,20,50,48,52,47,5,4,10,14,12,11,15,3,2])).
% 0.19/0.68 cnf(91,plain,
% 0.19/0.68 ($false),
% 0.19/0.68 inference(scs_inference,[],[39,24,21,70,37]),
% 0.19/0.68 ['proof']).
% 0.19/0.68 % SZS output end Proof
% 0.19/0.68 % Total time :0.020000s
%------------------------------------------------------------------------------