%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n013.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 08:21:13 AM UTC 2026
% Result : Theorem 4.32s 2.81s
% Output : Refutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 91 ( 0 equ; 0 cnn)
% Maximal formula atoms : 30 ( 22 avg)
% Number of connectives : 581 ( 2 ~; 0 |; 42 &; 492 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 18 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-5 aty)
% Number of variables : 57 ( 0 ^; 54 !; 3 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $i > $i > $o ).
thf(south_decl,type,
south: $i ).
thf(start_decl,type,
start: $i ).
thf(north_decl,type,
north: $i ).
thf(go_alone_decl,type,
go_alone: $i > $i ).
thf(take_wolf_decl,type,
take_wolf: $i > $i ).
thf(take_goat_decl,type,
take_goat: $i > $i ).
thf(take_cabbage_decl,type,
take_cabbage: $i > $i ).
thf(1,conjecture,
( ( ! [A: $i] :
( ( A @ ( north @ ( north @ ( south @ ( north @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( north @ ( north @ ( south @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( south @ ( south @ ( north @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( south @ ( north @ ( south @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( north @ ( A @ ( north @ p ) ) ) ) )
=> ( C @ take_goat @ ( B @ ( south @ ( A @ ( south @ p ) ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( south @ ( A @ ( south @ p ) ) ) ) )
=> ( C @ take_goat @ ( B @ ( north @ ( A @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_wolf @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_wolf @ ( south @ ( north @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_wolf @ ( north @ ( south @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_wolf @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( north @ p ) ) ) ) )
=> ( A @ go_alone @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ go_alone @ ( south @ ( north @ ( south @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ go_alone @ ( north @ ( south @ ( north @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( south @ p ) ) ) ) )
=> ( A @ go_alone @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ( start @ ( south @ ( south @ ( south @ ( south @ p ) ) ) ) ) )
=> ? [A: $i] : ( A @ ( north @ ( north @ ( north @ ( north @ p ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm100) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ( A @ ( north @ ( north @ ( south @ ( north @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( north @ ( north @ ( south @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( south @ ( south @ ( north @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( south @ ( north @ ( south @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( north @ ( A @ ( north @ p ) ) ) ) )
=> ( C @ take_goat @ ( B @ ( south @ ( A @ ( south @ p ) ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( south @ ( A @ ( south @ p ) ) ) ) )
=> ( C @ take_goat @ ( B @ ( north @ ( A @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_wolf @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_wolf @ ( south @ ( north @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_wolf @ ( north @ ( south @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_wolf @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( north @ p ) ) ) ) )
=> ( A @ go_alone @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ go_alone @ ( south @ ( north @ ( south @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ go_alone @ ( north @ ( south @ ( north @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( south @ p ) ) ) ) )
=> ( A @ go_alone @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ( start @ ( south @ ( south @ ( south @ ( south @ p ) ) ) ) ) )
=> ? [A: $i] : ( A @ ( north @ ( north @ ( north @ ( north @ p ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
( ( A @ ( north @ ( north @ ( south @ ( north @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( north @ ( north @ ( south @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( south @ ( south @ ( north @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( south @ ( north @ ( south @ p ) ) ) ) )
=> ( A @ take_cabbage @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( north @ ( A @ ( north @ p ) ) ) ) )
=> ( C @ take_goat @ ( B @ ( south @ ( A @ ( south @ p ) ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( south @ ( A @ ( south @ p ) ) ) ) )
=> ( C @ take_goat @ ( B @ ( north @ ( A @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_wolf @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_wolf @ ( south @ ( north @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ take_wolf @ ( north @ ( south @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ take_wolf @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( north @ p ) ) ) ) )
=> ( A @ go_alone @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( south @ ( north @ ( south @ ( south @ p ) ) ) ) )
=> ( A @ go_alone @ ( south @ ( north @ ( south @ ( north @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) )
=> ( A @ go_alone @ ( north @ ( south @ ( north @ ( south @ p ) ) ) ) ) )
& ! [A: $i] :
( ( A @ ( north @ ( south @ ( north @ ( south @ p ) ) ) ) )
=> ( A @ go_alone @ ( north @ ( south @ ( north @ ( north @ p ) ) ) ) ) )
& ( start @ ( south @ ( south @ ( south @ ( south @ p ) ) ) ) ) )
=> ? [A: $i] : ( A @ ( north @ ( north @ ( north @ ( north @ p ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(39,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.14 % 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
% 0.16/0.54 % Computer : n013.cluster.edu
% 0.16/0.54 % Model : x86_64 x86_64
% 0.16/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.54 % Memory : 8046.5625MB
% 0.16/0.54 % OS : Linux 6.8.0-71-generic
% 0.16/0.54 % CPULimit : 300
% 0.16/0.54 % WCLimit : 300
% 0.16/0.54 % DateTime : Sat Sep 26 05:07:08 UTC 2026
% 0.16/0.54 % CPUTime :
% 0.16/0.54 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
% 0.89/1.27 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.46 % [INFO] Parsing done (185ms).
% 1.23/1.48 % [INFO] Running in sequential loop mode.
% 1.90/1.88 % [INFO] eprover registered as external prover.
% 1.90/1.89 % [INFO] Scanning for conjecture ...
% 2.11/2.03 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.36/2.09 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.36/2.09 % [INFO] Problem is first-order (TPTP FOF).
% 2.36/2.09 % [INFO] Type checking passed.
% 2.36/2.10 % [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 ...
% 4.32/2.81 % External prover 'e' found a proof!
% 4.32/2.81 % [INFO] Killing All external provers ...
% 4.32/2.81 % Time passed: 2009ms (effective reasoning time: 1327ms)
% 4.32/2.81 % 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)>
% 4.32/2.81 % Axioms used in derivation (0):
% 4.32/2.81 % No. of inferences in proof: 4
% 4.32/2.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2009 ms resp. 1327 ms w/o parsing
% 4.32/2.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.32/2.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------