%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ140^1 : TPTP v9.3.1. Released v6.1.0.
% 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 : Wed Sep 30 08:20:49 AM UTC 2026
% Result : Theorem 1.45s 0.99s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 1 def)
% Number of atoms : 19 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 44 ( 8 ~; 2 |; 4 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 1 ^; 11 !; 7 ?; 20 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(syrup_type,type,
syrup: $tType ).
thf(beverage_type,type,
beverage: $tType ).
thf(coffee_decl,type,
coffee: beverage ).
thf(heat_decl,type,
heat: beverage > beverage ).
thf(hot_decl,type,
hot: beverage > $o ).
thf(sk1_decl,type,
sk1: ( beverage > syrup > beverage ) > syrup ).
thf(sk1_def,definition,
( sk1
= ( ^ [A: beverage > syrup > beverage] :
@+[B: syrup] :
~ ? [C: beverage] :
( ( ( A @ coffee @ B )
= C )
& ( hot @ C ) ) ) ) ).
thf(3,axiom,
! [A: beverage] : ( hot @ ( heat @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',its_hot) ).
thf(8,plain,
! [A: beverage] : ( hot @ ( heat @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
! [A: beverage] : ( hot @ ( heat @ A ) ),
inference(cnf,[status(esa)],[8]) ).
thf(1,conjecture,
? [A: beverage > syrup > beverage] :
! [B: syrup] :
? [C: beverage] :
( ( ( A @ coffee @ B )
= C )
& ( hot @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hot_coffee) ).
thf(2,negated_conjecture,
~ ? [A: beverage > syrup > beverage] :
! [B: syrup] :
? [C: beverage] :
( ( ( A @ coffee @ B )
= C )
& ( hot @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: beverage > syrup > beverage] :
! [B: syrup] :
? [C: beverage] :
( ( ( A @ coffee @ B )
= C )
& ( hot @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [B: beverage,A: beverage > syrup > beverage] :
( ( ( A @ coffee @ ( sk1 @ A ) )
!= B )
| ~ ( hot @ B ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [B: beverage,A: beverage > syrup > beverage] :
( ( ( A @ coffee @ ( sk1 @ A ) )
!= B )
| ~ ( hot @ B ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(7,plain,
! [A: beverage > syrup > beverage] :
~ ( hot @ ( A @ coffee @ ( sk1 @ A ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(10,plain,
$false,
inference(rewrite,[status(thm)],[9,7]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ140^1 : TPTP v9.3.1. Released v6.1.0.
% 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
% 0.07/0.12 % Computer : n012.cluster.edu
% 0.07/0.12 % Model : x86_64 x86_64
% 0.07/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.12 % Memory : 8046.5625MB
% 0.07/0.12 % OS : Linux 6.8.0-71-generic
% 0.07/0.12 % CPULimit : 300
% 0.07/0.12 % WCLimit : 300
% 0.07/0.12 % DateTime : Tue Sep 29 13:26:48 UTC 2026
% 0.07/0.12 % CPUTime :
% 0.07/0.12 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
% 0.40/0.39 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.56/0.48 % [INFO] Parsing done (87ms).
% 0.56/0.48 % [INFO] Running in sequential loop mode.
% 0.88/0.67 % [INFO] eprover registered as external prover.
% 0.88/0.67 % [INFO] Scanning for conjecture ...
% 1.04/0.71 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.04/0.73 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.04/0.73 % [INFO] Problem is higher-order (TPTP THF).
% 1.04/0.73 % [INFO] Type checking passed.
% 1.04/0.74 % [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 ...
% 1.45/0.99 % [INFO] Killing All external provers ...
% 1.45/0.99 % Time passed: 798ms (effective reasoning time: 501ms)
% 1.45/0.99 % 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)>
% 1.45/0.99 % Axioms used in derivation (1): its_hot
% 1.45/0.99 % No. of inferences in proof: 11
% 1.45/0.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 798 ms resp. 501 ms w/o parsing
% 1.73/1.02 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.73/1.02 % [INFO] Killing All external provers ...
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