%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n011.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 08:03:09 AM UTC 2026
% Result : Unsatisfiable 2.83s 2.49s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 150 ( 16 ~; 16 |; 0 &; 118 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 10 con; 0-5 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(has_parts_decl,type,
has_parts: $i > $i > $i > $o ).
thf(john_decl,type,
john: $i ).
thf(times_decl,type,
times: $i > $i > $i ).
thf(n2_decl,type,
n2: $i ).
thf(n1_decl,type,
n1: $i ).
thf(n5_decl,type,
n5: $i ).
thf(fingers_decl,type,
fingers: $i ).
thf(in_decl,type,
in: $i > $i > $o ).
thf(object_in_decl,type,
object_in: $i > $i > $i > $i > $i > $i ).
thf(boy_decl,type,
boy: $i ).
thf(human_decl,type,
human: $i ).
thf(hand_decl,type,
hand: $i ).
thf(arm_decl,type,
arm: $i ).
thf(7,axiom,
! [A: $i] :
( ~ ( human @ ( A @ in ) )
| ( arm @ ( n2 @ ( A @ has_parts ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',humans_have_two_arms) ).
thf(20,plain,
! [A: $i] :
( ~ ( human @ ( A @ in ) )
| ( arm @ ( n2 @ ( A @ has_parts ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
~ ( fingers @ ( n5 @ ( n1 @ ( n2 @ times ) @ times ) @ ( john @ has_parts ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_john_has_10_fingers) ).
thf(9,plain,
~ ( fingers @ ( n5 @ ( n1 @ ( n2 @ times ) @ times ) @ ( john @ has_parts ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( C @ ( B @ ( D @ ( E @ ( A @ object_in ) ) ) ) @ has_parts ) ) )
| ~ ( E @ ( B @ ( A @ has_parts ) ) )
| ( D @ ( C @ ( B @ times ) @ ( A @ has_parts ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_inheritance) ).
thf(13,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( C @ ( B @ ( D @ ( E @ ( A @ object_in ) ) ) ) @ has_parts ) ) )
| ~ ( E @ ( B @ ( A @ has_parts ) ) )
| ( D @ ( C @ ( B @ times ) @ ( A @ has_parts ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i] :
( ~ ( arm @ ( A @ in ) )
| ( hand @ ( n1 @ ( A @ has_parts ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arms_have_one_hand) ).
thf(22,plain,
! [A: $i] :
( ~ ( arm @ ( A @ in ) )
| ( hand @ ( n1 @ ( A @ has_parts ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( hand @ ( A @ in ) )
| ( fingers @ ( n5 @ ( A @ has_parts ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hands_have_5_fingers) ).
thf(18,plain,
! [A: $i] :
( ~ ( hand @ ( A @ in ) )
| ( fingers @ ( n5 @ ( A @ has_parts ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( boy @ ( A @ in ) )
| ( human @ ( A @ in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_boy_in_human) ).
thf(16,plain,
! [A: $i] :
( ~ ( boy @ ( A @ in ) )
| ( human @ ( A @ in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( A @ has_parts ) ) )
| ( C @ ( E @ ( D @ times ) @ ( A @ has_parts ) ) )
| ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ object_in ) ) ) ) @ in ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_part_inheritance) ).
thf(11,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( A @ has_parts ) ) )
| ( C @ ( E @ ( D @ times ) @ ( A @ has_parts ) ) )
| ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ object_in ) ) ) ) @ in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
boy @ ( john @ in ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',john_is_a_boy) ).
thf(15,plain,
boy @ ( john @ in ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,plain,
$false,
inference(e,[status(thm)],[20,9,13,22,18,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/0.61 % Computer : n011.cluster.edu
% 0.15/0.61 % Model : x86_64 x86_64
% 0.15/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.61 % Memory : 8046.5625MB
% 0.15/0.61 % OS : Linux 6.8.0-71-generic
% 0.15/0.61 % CPULimit : 300
% 0.15/0.61 % WCLimit : 300
% 0.15/0.61 % DateTime : Sat Sep 26 00:14:29 UTC 2026
% 0.15/0.61 % CPUTime :
% 0.15/0.61 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.84/1.39 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.63 % [INFO] Parsing done (230ms).
% 1.24/1.64 % [INFO] Running in sequential loop mode.
% 1.59/2.04 % [INFO] eprover registered as external prover.
% 1.82/2.05 % [INFO] Scanning for conjecture ...
% 1.82/2.12 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 1.82/2.14 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 2.00/2.15 % [INFO] Problem is propositional (TPTP CNF).
% 2.00/2.15 % [INFO] Type checking passed.
% 2.00/2.15 % [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 ...
% 2.83/2.48 % External prover 'e' found a proof!
% 2.83/2.49 % [INFO] Killing All external provers ...
% 2.83/2.49 % Time passed: 1629ms (effective reasoning time: 835ms)
% 2.83/2.49 % Axioms used in derivation (7): in_boy_in_human, part_inheritance, not_part_inheritance, hands_have_5_fingers, humans_have_two_arms, arms_have_one_hand, john_is_a_boy
% 2.83/2.49 % No. of inferences in proof: 17
% 2.83/2.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1629 ms resp. 835 ms w/o parsing
% 3.19/2.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.19/2.51 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------