%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:21:01 AM UTC 2026
% Result : Theorem 4.93s 3.02s
% Output : Refutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 14 equ; 0 cnn)
% Maximal formula atoms : 37 ( 11 avg)
% Number of connectives : 224 ( 16 ~; 4 |; 40 &; 148 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 59 ( 0 ^; 28 !; 31 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(predicate2_decl,type,
predicate2: $i > $i > $i > $i > $o ).
thf(kill_decl,type,
kill: $i ).
thf('AuntAgatha_decl',type,
'AuntAgatha': $i ).
thf(predicate1_decl,type,
predicate1: $i > $i > $i > $o ).
thf(live_decl,type,
live: $i ).
thf(modifier_pp_decl,type,
modifier_pp: $i > $i > $i > $o ).
thf(in_decl,type,
in: $i ).
thf('DreadburyMansion_decl',type,
'DreadburyMansion': $i ).
thf('Butler_decl',type,
'Butler': $i ).
thf('Charles_decl',type,
'Charles': $i ).
thf(hate_decl,type,
hate: $i ).
thf(property2_decl,type,
property2: $i > $i > $i > $i > $o ).
thf(rich_decl,type,
rich: $i ).
thf(comp_than_decl,type,
comp_than: $i ).
thf(1,conjecture,
? [A: $i] : ( 'AuntAgatha' @ ( 'AuntAgatha' @ ( kill @ ( A @ predicate2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( 'AuntAgatha' @ ( 'AuntAgatha' @ ( kill @ ( A @ predicate2 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: $i] : ( 'AuntAgatha' @ ( 'AuntAgatha' @ ( kill @ ( A @ predicate2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i,B: $i,C: $i] :
( ( 'AuntAgatha' != 'Butler' )
& ! [D: $i] :
( $true
=> ~ ! [E: $i] :
( $true
=> ? [F: $i] : ( E @ ( D @ ( hate @ ( F @ predicate2 ) ) ) ) ) )
& ! [D: $i,E: $i] :
( ( ( D @ ( 'AuntAgatha' @ ( hate @ ( E @ predicate2 ) ) ) )
& $true )
=> ? [F: $i] : ( D @ ( 'Butler' @ ( hate @ ( F @ predicate2 ) ) ) ) )
& ! [D: $i] :
( ( ~ ? [E: $i] :
( ( D = E )
& ( 'AuntAgatha' @ ( comp_than @ ( rich @ ( E @ property2 ) ) ) ) )
& $true )
=> ? [E: $i] : ( D @ ( 'Butler' @ ( hate @ ( E @ predicate2 ) ) ) ) )
& ! [D: $i] :
( ( ( D != 'Butler' )
& $true )
=> ? [E: $i] : ( D @ ( 'AuntAgatha' @ ( hate @ ( E @ predicate2 ) ) ) ) )
& ~ ? [D: $i] : ( 'Butler' @ ( 'AuntAgatha' @ ( hate @ ( D @ predicate2 ) ) ) )
& ! [D: $i,E: $i] :
( ( ( D @ ( 'AuntAgatha' @ ( hate @ ( E @ predicate2 ) ) ) )
& $true )
=> ~ ? [F: $i] : ( D @ ( 'Charles' @ ( hate @ ( F @ predicate2 ) ) ) ) )
& ! [D: $i] :
( $true
=> ~ ? [E: $i,F: $i,G: $i] :
( ( D = G )
& ( E @ ( comp_than @ ( rich @ ( G @ property2 ) ) ) )
& ( E @ ( D @ ( kill @ ( F @ predicate2 ) ) ) )
& $true ) )
& ! [D: $i] :
( $true
=> ! [E: $i,F: $i] :
( ( ( E @ ( D @ ( kill @ ( F @ predicate2 ) ) ) )
& $true )
=> ? [G: $i] : ( E @ ( D @ ( hate @ ( G @ predicate2 ) ) ) ) ) )
& ! [D: $i,E: $i] :
( ( ( 'DreadburyMansion' @ ( in @ ( E @ modifier_pp ) ) )
& ( D @ ( live @ ( E @ predicate1 ) ) )
& $true )
=> ( ( D = 'Charles' )
| ( D = 'Butler' )
| ( D = 'AuntAgatha' ) ) )
& ( 'AuntAgatha' @ ( A @ ( kill @ ( C @ predicate2 ) ) ) )
& ( 'DreadburyMansion' @ ( in @ ( B @ modifier_pp ) ) )
& ( A @ ( live @ ( B @ predicate1 ) ) )
& $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
thf(6,plain,
? [A: $i,B: $i,C: $i] :
( ( 'AuntAgatha' != 'Butler' )
& ! [D: $i] :
~ ! [E: $i] :
? [F: $i] : ( E @ ( D @ ( hate @ ( F @ predicate2 ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ ( 'AuntAgatha' @ ( hate @ ( E @ predicate2 ) ) ) )
=> ? [F: $i] : ( D @ ( 'Butler' @ ( hate @ ( F @ predicate2 ) ) ) ) )
& ! [D: $i] :
( ~ ? [E: $i] :
( ( D = E )
& ( 'AuntAgatha' @ ( comp_than @ ( rich @ ( E @ property2 ) ) ) ) )
=> ? [E: $i] : ( D @ ( 'Butler' @ ( hate @ ( E @ predicate2 ) ) ) ) )
& ! [D: $i] :
( ( D != 'Butler' )
=> ? [E: $i] : ( D @ ( 'AuntAgatha' @ ( hate @ ( E @ predicate2 ) ) ) ) )
& ~ ? [D: $i] : ( 'Butler' @ ( 'AuntAgatha' @ ( hate @ ( D @ predicate2 ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ ( 'AuntAgatha' @ ( hate @ ( E @ predicate2 ) ) ) )
=> ~ ? [F: $i] : ( D @ ( 'Charles' @ ( hate @ ( F @ predicate2 ) ) ) ) )
& ! [D: $i] :
~ ? [E: $i,F: $i,G: $i] :
( ( D = G )
& ( E @ ( comp_than @ ( rich @ ( G @ property2 ) ) ) )
& ( E @ ( D @ ( kill @ ( F @ predicate2 ) ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( E @ ( D @ ( kill @ ( F @ predicate2 ) ) ) )
=> ? [G: $i] : ( E @ ( D @ ( hate @ ( G @ predicate2 ) ) ) ) )
& ! [D: $i,E: $i] :
( ( ( 'DreadburyMansion' @ ( in @ ( E @ modifier_pp ) ) )
& ( D @ ( live @ ( E @ predicate1 ) ) ) )
=> ( ( D = 'Charles' )
| ( D = 'Butler' )
| ( D = 'AuntAgatha' ) ) )
& ( 'AuntAgatha' @ ( A @ ( kill @ ( C @ predicate2 ) ) ) )
& ( 'DreadburyMansion' @ ( in @ ( B @ modifier_pp ) ) )
& ( A @ ( live @ ( B @ predicate1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[4,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 05:02:44 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.16/1.09 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.58/1.35 % [INFO] Parsing done (260ms).
% 1.58/1.37 % [INFO] Running in sequential loop mode.
% 2.34/1.78 % [INFO] eprover registered as external prover.
% 2.34/1.78 % [INFO] Scanning for conjecture ...
% 2.78/1.91 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.78/1.97 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 3.06/2.04 % [INFO] Problem is first-order (TPTP FOF).
% 3.06/2.05 % [INFO] Type checking passed.
% 3.06/2.06 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 4.93/3.01 % External prover 'e' found a proof!
% 4.93/3.01 % [INFO] Killing All external provers ...
% 4.93/3.01 % Time passed: 2414ms (effective reasoning time: 1640ms)
% 4.93/3.01 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.93/3.01 % Axioms used in derivation (1): background
% 4.93/3.01 % No. of inferences in proof: 6
% 4.93/3.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2414 ms resp. 1640 ms w/o parsing
% 5.30/3.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.30/3.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------