%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS164+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 : n018.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 07:44:48 AM UTC 2026
% Result : Theorem 3.59s 2.44s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 97 ( 14 ~; 0 |; 23 &; 50 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% 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(cCar_decl,type,
cCar: $i > $o ).
thf(iauto_decl,type,
iauto: $i ).
thf(cAutomobile_decl,type,
cAutomobile: $i > $o ).
thf(icar_decl,type,
icar: $i ).
thf(1,conjecture,
( ( icar @ cowlThing )
& ( icar @ cAutomobile )
& ( iauto @ cowlThing )
& ( iauto @ cCar )
& ! [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,
~ ( ( icar @ cowlThing )
& ( icar @ cAutomobile )
& ( iauto @ cowlThing )
& ( iauto @ cCar )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ( ( icar @ cowlThing )
& ( icar @ cAutomobile )
& ( iauto @ cowlThing )
& ( iauto @ cCar )
& ! [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,
icar @ cCar,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(37,plain,
icar @ cCar,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cCar )
<=> ( A @ cAutomobile ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(29,plain,
! [A: $i] :
( ( ( A @ cAutomobile )
=> ( A @ cCar ) )
& ( ( A @ cCar )
=> ( A @ cAutomobile ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
icar @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(38,plain,
icar @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
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(6,axiom,
iauto @ cAutomobile,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(35,plain,
iauto @ cAutomobile,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
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(7,axiom,
iauto @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(36,plain,
iauto @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(39,plain,
$false,
inference(e,[status(thm)],[10,37,29,38,17,35,23,36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS164+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % 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
% 0.13/0.54 % Computer : n018.cluster.edu
% 0.13/0.54 % Model : x86_64 x86_64
% 0.13/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.54 % Memory : 8046.5625MB
% 0.13/0.54 % OS : Linux 6.8.0-71-generic
% 0.13/0.54 % CPULimit : 300
% 0.13/0.54 % WCLimit : 300
% 0.13/0.54 % DateTime : Fri Sep 25 19:44:21 UTC 2026
% 0.13/0.54 % CPUTime :
% 0.13/0.54 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
% 0.85/1.11 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/1.30 % [INFO] Parsing done (180ms).
% 1.39/1.31 % [INFO] Running in sequential loop mode.
% 2.03/1.72 % [INFO] eprover registered as external prover.
% 2.03/1.73 % [INFO] Scanning for conjecture ...
% 2.24/1.82 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 2.24/1.86 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 2.24/1.87 % [INFO] Problem is first-order (TPTP FOF).
% 2.24/1.87 % [INFO] Type checking passed.
% 2.24/1.88 % [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 ...
% 3.59/2.44 % External prover 'e' found a proof!
% 3.59/2.44 % [INFO] Killing All external provers ...
% 3.59/2.44 % Time passed: 1748ms (effective reasoning time: 1119ms)
% 3.59/2.44 % 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)>
% 3.59/2.44 % Axioms used in derivation (7): axiom_2, axiom_6, axiom_3, axiom_1, axiom_5, axiom_0, axiom_4
% 3.59/2.44 % No. of inferences in proof: 18
% 3.59/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1748 ms resp. 1119 ms w/o parsing
% 3.59/2.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.59/2.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------