%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS170+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : 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 07:44:49 AM UTC 2026
% Result : Theorem 3.62s 7.41s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 107 ( 14 ~; 0 |; 17 &; 60 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% 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(rhasLeader_decl,type,
rhasLeader: $i > $i > $o ).
thf(rhasHead_decl,type,
rhasHead: $i > $i > $o ).
thf(1,conjecture,
( ! [A: $i,B: $i] :
( ( B @ ( A @ rhasHead ) )
=> ( B @ ( A @ rhasLeader ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ rhasLeader ) )
=> ( B @ ( A @ rhasHead ) ) )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i,B: $i] :
( ( B @ ( A @ rhasHead ) )
=> ( B @ ( A @ rhasLeader ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ rhasLeader ) )
=> ( B @ ( A @ rhasHead ) ) )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ( ! [A: $i,B: $i] :
( ( B @ ( A @ rhasHead ) )
=> ( B @ ( A @ rhasLeader ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ rhasLeader ) )
=> ( B @ ( A @ rhasHead ) ) )
& ! [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(3,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(17,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(23,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(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rhasLeader ) )
<=> ( B @ ( A @ rhasHead ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(29,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ rhasHead ) )
=> ( B @ ( A @ rhasLeader ) ) )
& ( ( B @ ( A @ rhasLeader ) )
=> ( B @ ( A @ rhasHead ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(35,plain,
$false,
inference(e,[status(thm)],[6,17,23,29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS170+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.10 % 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
% 0.13/5.46 % Computer : n013.cluster.edu
% 0.13/5.46 % Model : x86_64 x86_64
% 0.13/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.46 % Memory : 8046.5625MB
% 0.13/5.46 % OS : Linux 6.8.0-71-generic
% 0.13/5.46 % CPULimit : 300
% 0.13/5.46 % WCLimit : 300
% 0.13/5.46 % DateTime : Fri Sep 25 19:42:00 UTC 2026
% 0.13/5.47 % CPUTime :
% 0.13/5.47 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
% 0.97/6.05 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/6.24 % [INFO] Parsing done (186ms).
% 1.27/6.26 % [INFO] Running in sequential loop mode.
% 1.86/6.67 % [INFO] eprover registered as external prover.
% 1.86/6.68 % [INFO] Scanning for conjecture ...
% 2.08/6.78 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.23/6.82 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.23/6.82 % [INFO] Problem is first-order (TPTP FOF).
% 2.23/6.83 % [INFO] Type checking passed.
% 2.23/6.83 % [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 ...
% 3.62/7.41 % External prover 'e' found a proof!
% 3.62/7.41 % [INFO] Killing All external provers ...
% 3.62/7.41 % Time passed: 1799ms (effective reasoning time: 1143ms)
% 3.62/7.41 % 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)>
% 3.62/7.41 % Axioms used in derivation (3): axiom_0, axiom_1, axiom_2
% 3.62/7.41 % No. of inferences in proof: 10
% 3.62/7.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1799 ms resp. 1143 ms w/o parsing
% 3.62/7.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.62/7.45 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------