%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ140^2 : TPTP v9.3.1. Released v6.4.0.
% 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 : n005.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 3.76s 2.21s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 46 ( 26 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 98 ( 17 ~; 8 |; 12 &; 61 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 1 ^; 20 !; 7 ?; 29 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(syrup_type,type,
syrup: $tType ).
thf(beverage_type,type,
beverage: $tType ).
thf(coffee_decl,type,
coffee: beverage ).
thf(mix_decl,type,
mix: beverage > syrup > beverage ).
thf(coffee_mixture_decl,type,
coffee_mixture: syrup > beverage ).
thf(hot_decl,type,
hot: beverage > $o ).
thf(sk1_decl,type,
sk1: ( syrup > beverage ) > syrup ).
thf(coffee_mixture_def,definition,
( coffee_mixture
= ( mix @ coffee ) ) ).
thf(sk1_def,definition,
( sk1
= ( ^ [A: syrup > beverage] :
@+[B: syrup] :
~ ? [C: beverage] :
( ( C
= ( A @ B ) )
& ( C = coffee )
& ( hot @ C ) ) ) ) ).
thf(3,axiom,
! [A: syrup] :
( ( ( coffee_mixture @ A )
= coffee )
& ( hot @ ( coffee_mixture @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coffee_and_syrup_is_hot_coffee) ).
thf(8,plain,
! [A: syrup] :
( ( ( mix @ coffee @ A )
= coffee )
& ( hot @ ( mix @ coffee @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
( ! [A: syrup] :
( ( mix @ coffee @ A )
= coffee )
& ! [A: syrup] : ( hot @ ( mix @ coffee @ A ) ) ),
inference(miniscope,[status(thm)],[8]) ).
thf(10,plain,
! [B: syrup,A: syrup] :
( ( ( mix @ coffee @ A )
= coffee )
& ( hot @ ( mix @ coffee @ B ) ) ),
inference(cnf,[status(esa)],[9]) ).
thf(12,plain,
! [A: syrup] : ( hot @ ( mix @ coffee @ A ) ),
inference(cnfConj,[status(thm)],[10]) ).
thf(14,plain,
! [A: syrup] : ( hot @ ( mix @ coffee @ A ) ),
inference(simp,[status(thm)],[12]) ).
thf(11,plain,
! [A: syrup] :
( ( mix @ coffee @ A )
= coffee ),
inference(cnfConj,[status(thm)],[10]) ).
thf(13,plain,
! [A: syrup] :
( ( mix @ coffee @ A )
= coffee ),
inference(lifteq,[status(thm)],[11]) ).
thf(15,plain,
hot @ coffee,
inference(rewrite,[status(thm)],[14,13]) ).
thf(1,conjecture,
? [A: syrup > beverage] :
! [B: syrup] :
? [C: beverage] :
( ( C
= ( A @ B ) )
& ( C = coffee )
& ( hot @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_hot_coffee) ).
thf(2,negated_conjecture,
~ ? [A: syrup > beverage] :
! [B: syrup] :
? [C: beverage] :
( ( C
= ( A @ B ) )
& ( C = coffee )
& ( hot @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: syrup > beverage] :
! [B: syrup] :
? [C: beverage] :
( ( C
= ( A @ B ) )
& ( C = coffee )
& ( hot @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [B: beverage,A: syrup > beverage] :
( ( B
!= ( A @ ( sk1 @ A ) ) )
| ( B != coffee )
| ~ ( hot @ B ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [B: beverage,A: syrup > beverage] :
( ( B
!= ( A @ ( sk1 @ A ) ) )
| ( B != coffee )
| ~ ( hot @ B ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(7,plain,
! [A: syrup > beverage] :
( ( ( A @ ( sk1 @ A ) )
!= coffee )
| ~ ( hot @ ( A @ ( sk1 @ A ) ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(20,plain,
! [A: syrup > beverage] :
( ( ( A @ ( sk1 @ A ) )
!= coffee )
| ~ $true
| ( ( hot @ coffee )
!= ( hot @ ( A @ ( sk1 @ A ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,7]) ).
thf(21,plain,
! [A: syrup > beverage] :
( ( ( A @ ( sk1 @ A ) )
!= coffee )
| ( ( hot @ coffee )
!= ( hot @ ( A @ ( sk1 @ A ) ) ) ) ),
inference(simp,[status(thm)],[20]) ).
thf(24,plain,
coffee != coffee,
inference(pre_uni,[status(thm)],[21:[bind(A,$thf( ^ [B: syrup] : coffee ))]]) ).
thf(25,plain,
$false,
inference(pattern_uni,[status(thm)],[24:[]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ140^2 : TPTP v9.3.1. Released v6.4.0.
% 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
% 0.11/0.21 % Computer : n005.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 13:26:31 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 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
% 0.85/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.98 % [INFO] Parsing done (189ms).
% 1.19/0.99 % [INFO] Running in sequential loop mode.
% 2.02/1.41 % [INFO] eprover registered as external prover.
% 2.02/1.42 % [INFO] Scanning for conjecture ...
% 2.17/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.17/1.55 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.17/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.17/1.55 % [INFO] Type checking passed.
% 2.17/1.56 % [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 ...
% 3.76/2.20 % [INFO] Killing All external provers ...
% 3.76/2.20 % Time passed: 1839ms (effective reasoning time: 1200ms)
% 3.76/2.20 % 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)>
% 3.76/2.21 % Axioms used in derivation (1): coffee_and_syrup_is_hot_coffee
% 3.76/2.21 % No. of inferences in proof: 19
% 3.76/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1839 ms resp. 1200 ms w/o parsing
% 3.76/2.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.76/2.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------