TSTP Solution File: PUZ001+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ001+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 13:10:48 EDT 2023
% Result : Theorem 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ001+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.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 : Sat Aug 26 22:03:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % File :CSE---1.6
% 0.19/0.64 % Problem :theBenchmark
% 0.19/0.64 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.040000s
% 0.19/0.64 % Output :CNFRefutation 0.040000s
% 0.19/0.64 %-------------------------------------------
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 % File : PUZ001+1 : TPTP v8.1.2. Released v2.0.0.
% 0.19/0.65 % Domain : Puzzles
% 0.19/0.65 % Problem : Dreadbury Mansion
% 0.19/0.65 % Version : Especial.
% 0.19/0.65 % Theorem formulation : Reduced > Complete.
% 0.19/0.65 % English : Someone who lives in Dreadbury Mansion killed Aunt Agatha.
% 0.19/0.65 % Agatha, the butler, and Charles live in Dreadbury Mansion,
% 0.19/0.65 % and are the only people who live therein. A killer always
% 0.19/0.65 % hates his victim, and is never richer than his victim.
% 0.19/0.65 % Charles hates no one that Aunt Agatha hates. Agatha hates
% 0.19/0.65 % everyone except the butler. The butler hates everyone not
% 0.19/0.65 % richer than Aunt Agatha. The butler hates everyone Aunt
% 0.19/0.65 % Agatha hates. No one hates everyone. Agatha is not the
% 0.19/0.65 % butler. Therefore : Agatha killed herself.
% 0.19/0.65
% 0.19/0.65 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.19/0.65 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.19/0.65 % Source : [Hah94]
% 0.19/0.65 % Names : Pelletier 55 [Pel86]
% 0.19/0.65
% 0.19/0.65 % Status : Theorem
% 0.19/0.65 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.20 v6.0.0, 0.26 v5.5.0, 0.07 v5.3.0, 0.19 v5.2.0, 0.00 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.22 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.19/0.65 % Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% 0.19/0.65 % Number of atoms : 24 ( 5 equ)
% 0.19/0.65 % Maximal formula atoms : 4 ( 1 avg)
% 0.19/0.65 % Number of connectives : 16 ( 6 ~; 2 |; 1 &)
% 0.19/0.65 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.19/0.65 % Maximal formula depth : 5 ( 3 avg)
% 0.19/0.65 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.65 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty)
% 0.19/0.65 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 0.19/0.65 % Number of variables : 12 ( 10 !; 2 ?)
% 0.19/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.65
% 0.19/0.65 % Comments : Modified by Geoff Sutcliffe.
% 0.19/0.65 % : Also known as "Who killed Aunt Agatha"
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 %----Problem axioms
% 0.19/0.65 fof(pel55_1,axiom,
% 0.19/0.65 ? [X] :
% 0.19/0.65 ( lives(X)
% 0.19/0.65 & killed(X,agatha) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_2_1,axiom,
% 0.19/0.65 lives(agatha) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_2_2,axiom,
% 0.19/0.65 lives(butler) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_2_3,axiom,
% 0.19/0.65 lives(charles) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_3,axiom,
% 0.19/0.65 ! [X] :
% 0.19/0.65 ( lives(X)
% 0.19/0.65 => ( X = agatha
% 0.19/0.65 | X = butler
% 0.19/0.65 | X = charles ) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_4,axiom,
% 0.19/0.65 ! [X,Y] :
% 0.19/0.65 ( killed(X,Y)
% 0.19/0.65 => hates(X,Y) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_5,axiom,
% 0.19/0.65 ! [X,Y] :
% 0.19/0.65 ( killed(X,Y)
% 0.19/0.65 => ~ richer(X,Y) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_6,axiom,
% 0.19/0.65 ! [X] :
% 0.19/0.65 ( hates(agatha,X)
% 0.19/0.65 => ~ hates(charles,X) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_7,axiom,
% 0.19/0.65 ! [X] :
% 0.19/0.65 ( X != butler
% 0.19/0.65 => hates(agatha,X) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_8,axiom,
% 0.19/0.65 ! [X] :
% 0.19/0.65 ( ~ richer(X,agatha)
% 0.19/0.65 => hates(butler,X) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_9,axiom,
% 0.19/0.65 ! [X] :
% 0.19/0.65 ( hates(agatha,X)
% 0.19/0.65 => hates(butler,X) ) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_10,axiom,
% 0.19/0.65 ! [X] :
% 0.19/0.65 ? [Y] : ~ hates(X,Y) ).
% 0.19/0.65
% 0.19/0.65 fof(pel55_11,axiom,
% 0.19/0.65 agatha != butler ).
% 0.19/0.65
% 0.19/0.65 fof(pel55,conjecture,
% 0.19/0.65 killed(agatha,agatha) ).
% 0.19/0.65
% 0.19/0.65 %------------------------------------------------------------------------------
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark
% 0.19/0.65 % SZS output start Proof
% 0.19/0.65 %ClaNum:26(EqnAxiom:11)
% 0.19/0.65 %VarNum:22(SingletonVarNum:10)
% 0.19/0.65 %MaxLitNum:4
% 0.19/0.65 %MaxfuncDepth:1
% 0.19/0.65 %SharedTerms:11
% 0.19/0.65 %goalClause: 18
% 0.19/0.65 %singleGoalClaCount:1
% 0.19/0.65 [12]P1(a1)
% 0.19/0.65 [13]P1(a2)
% 0.19/0.65 [14]P1(a3)
% 0.19/0.65 [15]P1(a4)
% 0.19/0.65 [16]P2(a4,a1)
% 0.19/0.65 [17]~E(a1,a2)
% 0.19/0.65 [18]~P2(a1,a1)
% 0.19/0.65 [19]~P3(x191,f5(x191))
% 0.19/0.65 [21]P3(a1,x211)+E(x211,a2)
% 0.19/0.65 [22]P3(a2,x221)+P4(x221,a1)
% 0.19/0.65 [23]~P3(a1,x231)+P3(a2,x231)
% 0.19/0.65 [25]~P3(a3,x251)+~P3(a1,x251)
% 0.19/0.65 [24]~P2(x241,x242)+P3(x241,x242)
% 0.19/0.65 [26]~P4(x261,x262)+~P2(x261,x262)
% 0.19/0.65 [20]~P1(x201)+E(x201,a2)+E(x201,a3)+E(x201,a1)
% 0.19/0.65 %EqnAxiom
% 0.19/0.65 [1]E(x11,x11)
% 0.19/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.65 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.19/0.65 [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 0.19/0.65 [6]P4(x62,x63)+~E(x61,x62)+~P4(x61,x63)
% 0.19/0.65 [7]P4(x73,x72)+~E(x71,x72)+~P4(x73,x71)
% 0.19/0.65 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.19/0.65 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.19/0.65 [10]P3(x102,x103)+~E(x101,x102)+~P3(x101,x103)
% 0.19/0.65 [11]P3(x113,x112)+~E(x111,x112)+~P3(x113,x111)
% 0.19/0.65
% 0.19/0.65 %-------------------------------------------
% 0.19/0.66 cnf(27,plain,
% 0.19/0.66 (~P4(a4,a1)),
% 0.19/0.66 inference(scs_inference,[],[16,26])).
% 0.19/0.66 cnf(28,plain,
% 0.19/0.66 (~P2(x281,f5(x281))),
% 0.19/0.66 inference(scs_inference,[],[16,19,26,24])).
% 0.19/0.66 cnf(29,plain,
% 0.19/0.66 (~P3(a1,f5(a2))),
% 0.19/0.66 inference(scs_inference,[],[16,19,26,24,23])).
% 0.19/0.66 cnf(30,plain,
% 0.19/0.66 (~P3(x301,f5(x301))),
% 0.19/0.66 inference(rename_variables,[],[19])).
% 0.19/0.66 cnf(32,plain,
% 0.19/0.66 (P3(a2,a4)),
% 0.19/0.66 inference(scs_inference,[],[16,19,26,24,23,22])).
% 0.19/0.66 cnf(34,plain,
% 0.19/0.66 (P3(a1,a1)),
% 0.19/0.66 inference(scs_inference,[],[16,17,19,26,24,23,22,21])).
% 0.19/0.66 cnf(36,plain,
% 0.19/0.66 (~E(a4,f5(a2))),
% 0.19/0.66 inference(scs_inference,[],[16,17,19,30,26,24,23,22,21,11])).
% 0.19/0.66 cnf(37,plain,
% 0.19/0.66 (~P3(x371,f5(x371))),
% 0.19/0.66 inference(rename_variables,[],[19])).
% 0.19/0.66 cnf(38,plain,
% 0.19/0.66 (~E(a4,a1)),
% 0.19/0.66 inference(scs_inference,[],[18,16,17,19,30,26,24,23,22,21,11,8])).
% 0.19/0.66 cnf(40,plain,
% 0.19/0.66 (~P3(x401,f5(x402))+~E(x401,x402)),
% 0.19/0.66 inference(scs_inference,[],[18,16,17,19,30,37,26,24,23,22,21,11,8,2,10])).
% 0.19/0.66 cnf(41,plain,
% 0.19/0.66 (~P3(a4,f5(a3))+E(a4,a2)),
% 0.19/0.66 inference(scs_inference,[],[18,15,16,17,19,30,37,26,24,23,22,21,11,8,2,10,20])).
% 0.19/0.66 cnf(51,plain,
% 0.19/0.66 (P3(a4,a1)),
% 0.19/0.66 inference(scs_inference,[],[16,24])).
% 0.19/0.66 cnf(53,plain,
% 0.19/0.66 (P3(a2,a1)),
% 0.19/0.66 inference(scs_inference,[],[16,34,24,23])).
% 0.19/0.66 cnf(55,plain,
% 0.19/0.66 (P4(f5(a2),a1)),
% 0.19/0.66 inference(scs_inference,[],[16,19,34,24,23,22])).
% 0.19/0.66 cnf(56,plain,
% 0.19/0.66 (~P3(x561,f5(x561))),
% 0.19/0.66 inference(rename_variables,[],[19])).
% 0.19/0.66 cnf(59,plain,
% 0.19/0.66 (~P3(x591,f5(x591))),
% 0.19/0.66 inference(rename_variables,[],[19])).
% 0.19/0.66 cnf(62,plain,
% 0.19/0.66 (~P3(x621,f5(x621))),
% 0.19/0.66 inference(rename_variables,[],[19])).
% 0.19/0.66 cnf(64,plain,
% 0.19/0.66 (~E(a1,f5(a1))),
% 0.19/0.66 inference(scs_inference,[],[16,17,19,56,59,27,34,24,23,22,21,10,6,3])).
% 0.19/0.66 cnf(65,plain,
% 0.19/0.66 (E(a2,f5(a1))),
% 0.19/0.66 inference(scs_inference,[],[16,17,19,56,59,27,34,24,23,22,21,10,6,3,2])).
% 0.19/0.66 cnf(68,plain,
% 0.19/0.66 (~E(a1,f5(a4))),
% 0.19/0.66 inference(scs_inference,[],[16,17,19,56,59,62,28,27,34,24,23,22,21,10,6,3,2,11,9])).
% 0.19/0.66 cnf(69,plain,
% 0.19/0.66 (~P2(x691,f5(x691))),
% 0.19/0.66 inference(rename_variables,[],[28])).
% 0.19/0.66 cnf(70,plain,
% 0.19/0.66 (~P2(f5(a1),f5(a2))),
% 0.19/0.66 inference(scs_inference,[],[16,17,19,56,59,62,28,69,27,34,24,23,22,21,10,6,3,2,11,9,8])).
% 0.19/0.66 cnf(72,plain,
% 0.19/0.66 (~P2(f5(a2),a1)),
% 0.19/0.66 inference(scs_inference,[],[12,16,17,19,56,59,62,28,69,27,34,24,23,22,21,10,6,3,2,11,9,8,5,26])).
% 0.19/0.66 cnf(74,plain,
% 0.19/0.66 (~P3(a2,f5(f5(a1)))),
% 0.19/0.66 inference(scs_inference,[],[12,16,17,19,56,59,62,28,69,27,34,24,23,22,21,10,6,3,2,11,9,8,5,26,40])).
% 0.19/0.66 cnf(75,plain,
% 0.19/0.66 (E(f5(f5(a1)),f5(a2))),
% 0.19/0.66 inference(scs_inference,[],[12,16,17,19,56,59,62,28,69,27,34,24,23,22,21,10,6,3,2,11,9,8,5,26,40,4])).
% 0.19/0.66 cnf(76,plain,
% 0.19/0.66 (E(a4,a2)+E(a4,a3)),
% 0.19/0.66 inference(scs_inference,[],[12,15,16,17,19,56,59,62,28,69,27,34,38,24,23,22,21,10,6,3,2,11,9,8,5,26,40,4,20])).
% 0.19/0.66 cnf(83,plain,
% 0.19/0.66 (~P3(a1,f5(f5(a1)))),
% 0.19/0.66 inference(scs_inference,[],[74,24,23])).
% 0.19/0.66 cnf(90,plain,
% 0.19/0.66 (P4(f5(f5(a1)),a1)),
% 0.19/0.66 inference(scs_inference,[],[75,74,36,64,65,72,32,24,23,10,3,2,8,5,22])).
% 0.19/0.66 cnf(92,plain,
% 0.19/0.66 (E(f5(a2),a2)),
% 0.19/0.66 inference(scs_inference,[],[75,74,29,36,64,65,72,32,24,23,10,3,2,8,5,22,21])).
% 0.19/0.66 cnf(103,plain,
% 0.19/0.66 (E(f5(a2),f5(a1))),
% 0.19/0.66 inference(scs_inference,[],[27,19,90,92,28,65,6,9,10,3])).
% 0.19/0.66 cnf(104,plain,
% 0.19/0.66 (E(a2,f5(a2))),
% 0.19/0.66 inference(scs_inference,[],[27,19,90,92,28,65,6,9,10,3,2])).
% 0.19/0.66 cnf(111,plain,
% 0.19/0.66 (P4(f5(a1),a1)),
% 0.19/0.66 inference(scs_inference,[],[103,55,6])).
% 0.19/0.66 cnf(113,plain,
% 0.19/0.66 (~P3(x1131,f5(x1131))),
% 0.19/0.66 inference(rename_variables,[],[19])).
% 0.19/0.66 cnf(120,plain,
% 0.19/0.66 (E(a4,a3)),
% 0.19/0.66 inference(scs_inference,[],[28,19,113,53,103,68,104,55,36,6,11,10,3,8,2,76])).
% 0.19/0.66 cnf(121,plain,
% 0.19/0.66 (~P3(a4,f5(a3))),
% 0.19/0.66 inference(scs_inference,[],[28,19,113,53,103,68,104,55,36,6,11,10,3,8,2,76,41])).
% 0.19/0.66 cnf(122,plain,
% 0.19/0.66 (~P3(a3,a1)),
% 0.19/0.66 inference(scs_inference,[],[28,19,113,53,103,68,104,55,36,34,6,11,10,3,8,2,76,41,25])).
% 0.19/0.66 cnf(135,plain,
% 0.19/0.66 ($false),
% 0.19/0.66 inference(scs_inference,[],[27,121,51,120,122,83,111,70,104,21,6,9,11,10]),
% 0.19/0.66 ['proof']).
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time :0.040000s
%------------------------------------------------------------------------------