%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PLA003-1 : 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 : n012.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 08:19:52 AM UTC 2026
% Result : Unsatisfiable 2.03s 1.81s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 350 ( 20 ~; 18 |; 0 &; 312 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 62 ( 0 ^; 62 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(can_decl,type,
can: $i > $i > $i > $o ).
thf(monkey_decl,type,
monkey: $i > $i > $i > $i ).
thf(the_bananas_decl,type,
the_bananas: $i ).
thf(ceiling_decl,type,
ceiling: $i ).
thf(nothing_decl,type,
nothing: $i ).
thf(ladder_decl,type,
ladder: $i > $i > $i ).
thf(floor_decl,type,
floor: $i ).
thf(the_ladder_decl,type,
the_ladder: $i ).
thf(bananas_decl,type,
bananas: $i > $i > $i ).
thf(l0_decl,type,
l0: $i ).
thf(l1_decl,type,
l1: $i ).
thf(l2_decl,type,
l2: $i ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ ladder ) @ ( the_ladder @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( C @ ( floor @ ( A @ ladder ) @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drop_ladder) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( A @ ladder ) @ ( the_ladder @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( C @ ( floor @ ( A @ ladder ) @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( floor @ ( A @ monkey ) ) @ can ) ) )
| ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( ceiling @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_up) ).
thf(14,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( floor @ ( A @ monkey ) ) @ can ) ) )
| ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( ceiling @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( floor @ ( C @ bananas ) @ ( B @ ( the_bananas @ ( floor @ ( C @ monkey ) ) @ can ) ) )
| ( floor @ ( A @ bananas ) @ ( B @ ( the_bananas @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_holding_bananas) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( floor @ ( C @ bananas ) @ ( B @ ( the_bananas @ ( floor @ ( C @ monkey ) ) @ can ) ) )
| ( floor @ ( A @ bananas ) @ ( B @ ( the_bananas @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ bananas ) @ ( C @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( B @ ( A @ bananas ) @ ( C @ ( the_bananas @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grab_bananas) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ bananas ) @ ( C @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( B @ ( A @ bananas ) @ ( C @ ( the_bananas @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
ceiling @ ( l2 @ bananas ) @ ( floor @ ( l1 @ ladder ) @ ( nothing @ ( floor @ ( l0 @ monkey ) ) @ can ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_situation) ).
thf(32,plain,
ceiling @ ( l2 @ bananas ) @ ( floor @ ( l1 @ ladder ) @ ( nothing @ ( floor @ ( l0 @ monkey ) ) @ can ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( nothing @ ( floor @ ( D @ monkey ) ) @ can ) ) )
| ( C @ ( B @ ( nothing @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_holding_nothing) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( nothing @ ( floor @ ( D @ monkey ) ) @ can ) ) )
| ( C @ ( B @ ( nothing @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( D @ ( C @ ( the_bananas @ ( B @ ( A @ monkey ) ) @ can ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_monkey_can_get_the_bananas) ).
thf(12,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( D @ ( C @ ( the_bananas @ ( B @ ( A @ monkey ) ) @ can ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( floor @ ( C @ ladder ) @ ( the_ladder @ ( floor @ ( C @ monkey ) ) @ can ) ) )
| ( B @ ( floor @ ( A @ ladder ) @ ( the_ladder @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_holding_ladder) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( floor @ ( C @ ladder ) @ ( the_ladder @ ( floor @ ( C @ monkey ) ) @ can ) ) )
| ( B @ ( floor @ ( A @ ladder ) @ ( the_ladder @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( ceiling @ ( A @ monkey ) ) @ can ) ) )
| ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_down) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( ceiling @ ( A @ monkey ) ) @ can ) ) )
| ( B @ ( floor @ ( A @ ladder ) @ ( nothing @ ( floor @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ bananas ) @ ( C @ ( the_bananas @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( floor @ ( A @ bananas ) @ ( C @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drop_bananas) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ bananas ) @ ( C @ ( the_bananas @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( floor @ ( A @ bananas ) @ ( C @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ladder ) @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( C @ ( B @ ( A @ ladder ) @ ( the_ladder @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grab_ladder) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ladder ) @ ( nothing @ ( B @ ( A @ monkey ) ) @ can ) ) )
| ( C @ ( B @ ( A @ ladder ) @ ( the_ladder @ ( B @ ( A @ monkey ) ) @ can ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(33,plain,
$false,
inference(e,[status(thm)],[24,14,20,28,32,22,12,18,16,26,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % 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
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sat Sep 26 04:42:07 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 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
% 0.46/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.93 % [INFO] Parsing done (134ms).
% 0.70/0.93 % [INFO] Running in sequential loop mode.
% 1.10/1.21 % [INFO] eprover registered as external prover.
% 1.10/1.21 % [INFO] Scanning for conjecture ...
% 1.10/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 1.26/1.32 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 1.26/1.33 % [INFO] Problem is propositional (TPTP CNF).
% 1.26/1.34 % [INFO] Type checking passed.
% 1.26/1.34 % [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 ...
% 2.03/1.81 % External prover 'e' found a proof!
% 2.03/1.81 % [INFO] Killing All external provers ...
% 2.03/1.81 % Time passed: 1368ms (effective reasoning time: 868ms)
% 2.03/1.81 % Axioms used in derivation (10): drop_ladder, drop_bananas, grab_bananas, grab_ladder, climb_up, climb_down, go_holding_nothing, initial_situation, go_holding_ladder, go_holding_bananas
% 2.03/1.81 % No. of inferences in proof: 23
% 2.03/1.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1368 ms resp. 868 ms w/o parsing
% 2.03/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.03/1.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------