%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS139+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n020.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 07:44:44 AM UTC 2026
% Result : Theorem 5.09s 3.26s
% Output : Refutation 5.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 94 ( 14 ~; 0 |; 19 &; 52 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(iAntwerp_decl,type,
iAntwerp: $i ).
thf(rpath_decl,type,
rpath: $i > $i > $o ).
thf(iGhent_decl,type,
iGhent: $i ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rpath ) )
=> ( A @ ( B @ rpath ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(28,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rpath ) )
=> ( A @ ( B @ rpath ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
( ( iGhent @ cowlThing )
& ( iGhent @ ( iAntwerp @ rpath ) )
& ( iAntwerp @ cowlThing )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ( iGhent @ cowlThing )
& ( iGhent @ ( iAntwerp @ rpath ) )
& ( iAntwerp @ cowlThing )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( ( iGhent @ cowlThing )
& ( iGhent @ ( iAntwerp @ rpath ) )
& ( iAntwerp @ cowlThing )
& ! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
iAntwerp @ ( iGhent @ rpath ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(32,plain,
iAntwerp @ ( iGhent @ rpath ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(22,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
iAntwerp @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(30,plain,
iAntwerp @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(16,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
iGhent @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(31,plain,
iGhent @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(35,plain,
$false,
inference(e,[status(thm)],[28,9,32,22,30,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS139+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.13 % 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
% 0.25/0.51 % Computer : n020.cluster.edu
% 0.25/0.51 % Model : x86_64 x86_64
% 0.25/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.51 % Memory : 8046.5625MB
% 0.25/0.51 % OS : Linux 6.8.0-71-generic
% 0.25/0.51 % CPULimit : 300
% 0.25/0.51 % WCLimit : 300
% 0.25/0.51 % DateTime : Fri Sep 25 19:41:50 UTC 2026
% 0.25/0.52 % CPUTime :
% 0.25/0.52 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
% 1.54/1.40 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.91/1.69 % [INFO] Parsing done (281ms).
% 2.11/1.71 % [INFO] Running in sequential loop mode.
% 3.02/2.36 % [INFO] eprover registered as external prover.
% 3.02/2.37 % [INFO] Scanning for conjecture ...
% 3.40/2.52 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 3.40/2.58 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 3.40/2.59 % [INFO] Problem is first-order (TPTP FOF).
% 3.56/2.60 % [INFO] Type checking passed.
% 3.56/2.60 % [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 ...
% 5.09/3.26 % External prover 'e' found a proof!
% 5.09/3.26 % [INFO] Killing All external provers ...
% 5.09/3.26 % Time passed: 2532ms (effective reasoning time: 1537ms)
% 5.09/3.26 % 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)>
% 5.09/3.26 % Axioms used in derivation (6): axiom_2, axiom_3, axiom_1, axiom_5, axiom_0, axiom_4
% 5.09/3.26 % No. of inferences in proof: 16
% 5.09/3.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2532 ms resp. 1537 ms w/o parsing
% 5.09/3.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.09/3.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------