%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS100+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 : n009.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 07:44:39 AM UTC 2026
% Result : Unsatisfiable 3.56s 2.34s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 92 ( 13 ~; 3 |; 13 &; 49 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 14 !; 3 ?; 17 :)
% 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(cUnsatisfiable_decl,type,
cUnsatisfiable: $i > $o ).
thf(rr_decl,type,
rr: $i > $i > $o ).
thf(ce_decl,type,
ce: $i > $o ).
thf(cd_decl,type,
cd: $i > $o ).
thf(cc_decl,type,
cc: $i > $o ).
thf(i2003_11_14_17_20_32704_decl,type,
i2003_11_14_17_20_32704: $i ).
thf(1,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(6,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cc )
=> ~ ( A @ cd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(38,plain,
! [A: $i] :
( ( A @ cc )
=> ~ ( A @ cd ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(12,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ( ? [B: $i] :
( ~ ( B @ ce )
& ( B @ ( A @ rr ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( ~ ( B @ cd )
| ( B @ ce ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(18,plain,
! [A: $i] :
( ( ( ? [B: $i] :
( ~ ( B @ ce )
& ( B @ ( A @ rr ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( ~ ( B @ cd )
| ( B @ ce ) ) ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ( ? [B: $i] :
( ~ ( B @ ce )
& ( B @ ( A @ rr ) ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cd ) )
& ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( ~ ( B @ cd )
| ( B @ ce ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
i2003_11_14_17_20_32704 @ cUnsatisfiable,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(40,plain,
i2003_11_14_17_20_32704 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(41,plain,
$false,
inference(e,[status(thm)],[6,38,12,18,40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % 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
% 0.13/0.38 % Computer : n009.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri Sep 25 19:39:29 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 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
% 0.89/0.95 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.14 % [INFO] Parsing done (184ms).
% 1.29/1.15 % [INFO] Running in sequential loop mode.
% 1.83/1.56 % [INFO] eprover registered as external prover.
% 1.83/1.57 % [INFO] Scanning for conjecture ...
% 2.05/1.61 % [INFO] 5 axioms and no conjecture found.
% 2.05/1.67 % [INFO] Problem is first-order (TPTP FOF).
% 2.05/1.67 % [INFO] Type checking passed.
% 2.05/1.68 % [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 ...
% 3.56/2.33 % External prover 'e' found a proof!
% 3.56/2.33 % [INFO] Killing All external provers ...
% 3.56/2.33 % Time passed: 1811ms (effective reasoning time: 1176ms)
% 3.56/2.33 % Axioms used in derivation (5): axiom_2, axiom_3, axiom_1, axiom_0, axiom_4
% 3.56/2.33 % No. of inferences in proof: 11
% 3.56/2.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1811 ms resp. 1176 ms w/o parsing
% 3.56/2.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.56/2.38 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------