%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ149^13 : TPTP v9.3.1. Released v8.1.0.
% 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 : 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 08:20:50 AM UTC 2026
% Result : Theorem 1.84s 1.08s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 22 ( 7 unt; 0 typ; 6 def)
% Number of atoms : 99 ( 6 equ; 0 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 179 ( 9 ~; 0 |; 7 &; 144 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 15 ^; 14 !; 5 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mindex_type,type,
mindex: $tType ).
thf(mrel_decl,type,
mrel: mindex > mworld > mworld > $o ).
thf('#pour_b_decl',type,
'#pour_b': mindex ).
thf('#make_c_decl',type,
'#make_c': mindex ).
thf('#pour_a_decl',type,
'#pour_a': mindex ).
thf(mactual_decl,type,
mactual: mworld ).
thf(mlocal_decl,type,
mlocal: ( mworld > $o ) > $o ).
thf(mnot_decl,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mand_decl,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mimplies_decl,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_decl,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(mdia_decl,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(acid_decl,type,
acid: mworld > $o ).
thf(mlocal_def,definition,
( mlocal
= ( ^ [A: mworld > $o] : ( A @ mactual ) ) ) ).
thf(mnot_def,definition,
( mnot
= ( ^ [A: mworld > $o,B: mworld] :
~ ( A @ B ) ) ) ).
thf(mand_def,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
& ( B @ C ) ) ) ) ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
=> ( B @ C ) ) ) ) ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: mindex,B: mworld > $o,C: mworld] :
! [D: mworld] :
( ( mrel @ A @ C @ D )
=> ( B @ D ) ) ) ) ).
thf(mdia_def,definition,
( mdia
= ( ^ [A: mindex,B: mworld > $o,C: mworld] :
? [D: mworld] :
( ( mrel @ A @ C @ D )
& ( B @ D ) ) ) ) ).
thf(1,conjecture,
mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( ? [A: mworld] :
( ( mrel @ '#pour_a' @ mactual @ A )
& ~ ( acid @ A ) )
& ? [A: mworld] :
( ( mrel @ '#pour_a' @ mactual @ A )
& ? [B: mworld] :
( ( mrel @ '#pour_b' @ A @ B )
& ( acid @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
mlocal @ ( mimplies @ ( mbox @ '#pour_a' @ ( mbox @ '#pour_b' @ acid ) ) @ ( mbox @ '#make_c' @ acid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_1) ).
thf(11,plain,
( ! [A: mworld] :
( ( mrel @ '#pour_a' @ mactual @ A )
=> ! [B: mworld] :
( ( mrel @ '#pour_b' @ A @ B )
=> ( acid @ B ) ) )
=> ! [A: mworld] :
( ( mrel @ '#make_c' @ mactual @ A )
=> ( acid @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
mlocal @ ( mimplies @ ( mbox @ '#pour_b' @ ( mbox @ '#pour_a' @ ( mnot @ acid ) ) ) @ ( mbox @ '#make_c' @ ( mnot @ acid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ba_make_axiom_2) ).
thf(26,plain,
( ! [A: mworld] :
( ( mrel @ '#pour_b' @ mactual @ A )
=> ! [B: mworld] :
( ( mrel @ '#pour_a' @ A @ B )
=> ~ ( acid @ B ) ) )
=> ! [A: mworld] :
( ( mrel @ '#make_c' @ mactual @ A )
=> ~ ( acid @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
mlocal @ ( mimplies @ ( mbox @ '#pour_b' @ ( mbox @ '#pour_a' @ acid ) ) @ ( mbox @ '#make_c' @ acid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ba_make_axiom_1) ).
thf(21,plain,
( ! [A: mworld] :
( ( mrel @ '#pour_b' @ mactual @ A )
=> ! [B: mworld] :
( ( mrel @ '#pour_a' @ A @ B )
=> ( acid @ B ) ) )
=> ! [A: mworld] :
( ( mrel @ '#make_c' @ mactual @ A )
=> ( acid @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
mlocal @ ( mdia @ '#make_c' @ acid ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_c_acid) ).
thf(33,plain,
? [A: mworld] :
( ( mrel @ '#make_c' @ mactual @ A )
& ( acid @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
mlocal @ ( mimplies @ ( mbox @ '#pour_a' @ ( mbox @ '#pour_b' @ ( mnot @ acid ) ) ) @ ( mbox @ '#make_c' @ ( mnot @ acid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).
thf(16,plain,
( ! [A: mworld] :
( ( mrel @ '#pour_a' @ mactual @ A )
=> ! [B: mworld] :
( ( mrel @ '#pour_b' @ A @ B )
=> ~ ( acid @ B ) ) )
=> ! [A: mworld] :
( ( mrel @ '#make_c' @ mactual @ A )
=> ~ ( acid @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
mlocal @ ( mbox @ '#pour_a' @ ( mnot @ acid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_a_acid) ).
thf(31,plain,
! [A: mworld] :
( ( mrel @ '#pour_a' @ mactual @ A )
=> ~ ( acid @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[9,11,26,21,33,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ149^13 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % 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
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 13:27:18 UTC 2026
% 0.07/0.11 % CPUTime :
% 0.07/0.11 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
% 0.41/0.39 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.58/0.51 % [INFO] Parsing done (109ms).
% 0.58/0.51 % [INFO] Running in sequential loop mode.
% 1.12/0.70 % [INFO] eprover registered as external prover.
% 1.12/0.71 % [INFO] Scanning for conjecture ...
% 1.12/0.77 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 1.12/0.78 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.12/0.79 % [INFO] Problem is higher-order (TPTP THF).
% 1.12/0.79 % [INFO] Type checking passed.
% 1.12/0.79 % [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 ...
% 1.84/1.08 % External prover 'e' found a proof!
% 1.84/1.08 % [INFO] Killing All external provers ...
% 1.84/1.08 % Time passed: 898ms (effective reasoning time: 563ms)
% 1.84/1.08 % 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)>
% 1.84/1.08 % Axioms used in derivation (6): pour_ab_make_axiom_2, make_c_acid, pour_ba_make_axiom_2, pour_ab_make_axiom_1, pour_ba_make_axiom_1, pour_a_acid
% 1.84/1.08 % No. of inferences in proof: 16
% 1.84/1.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 898 ms resp. 563 ms w/o parsing
% 1.84/1.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.84/1.11 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------