%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS129+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 : n016.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 07:44:43 AM UTC 2026
% Result : Theorem 4.62s 2.61s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of formulae : 56 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 42 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 256 ( 14 ~; 15 |; 43 &; 142 @)
% ( 6 <=>; 36 =>; 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 : 19 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 0 ^; 78 !; 3 ?; 81 :)
% 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(cEuroMP_decl,type,
cEuroMP: $i > $o ).
thf(iKinnock_decl,type,
iKinnock: $i ).
thf(cEuropeanCountry_decl,type,
cEuropeanCountry: $i > $o ).
thf(iFR_decl,type,
iFR: $i ).
thf(iNL_decl,type,
iNL: $i ).
thf(cEUCountry_decl,type,
cEUCountry: $i > $o ).
thf(iPT_decl,type,
iPT: $i ).
thf(iBE_decl,type,
iBE: $i ).
thf(iES_decl,type,
iES: $i ).
thf(cPerson_decl,type,
cPerson: $i > $o ).
thf(rhasEuroMP_decl,type,
rhasEuroMP: $i > $i > $o ).
thf(risEuroMPFrom_decl,type,
risEuroMPFrom: $i > $i > $o ).
thf(iUK_decl,type,
iUK: $i ).
thf(18,axiom,
iUK @ cEuropeanCountry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(101,plain,
iUK @ cEuropeanCountry,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(19,axiom,
iKinnock @ cPerson,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(102,plain,
iKinnock @ cPerson,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ cEUCountry )
& ( A = B ) )
=> ( B @ cEUCountry ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEUCountry_substitution_1) ).
thf(38,plain,
! [A: $i,B: $i] :
( ( ( A @ cEUCountry )
& ( A = B ) )
=> ( B @ cEUCountry ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ risEuroMPFrom ) )
<=> ( A @ ( B @ rhasEuroMP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rhasEuroMP ) )
=> ( B @ ( A @ risEuroMPFrom ) ) )
& ( ( B @ ( A @ risEuroMPFrom ) )
=> ( A @ ( B @ rhasEuroMP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rhasEuroMP ) )
& ( A = B ) )
=> ( B @ ( C @ rhasEuroMP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhasEuroMP_substitution_2) ).
thf(53,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rhasEuroMP ) )
& ( A = B ) )
=> ( B @ ( C @ rhasEuroMP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(129,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rhasEuroMP ) )
=> ( A @ cEUCountry ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(98,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rhasEuroMP ) )
=> ( A @ cEUCountry ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(20,axiom,
iKinnock @ ( iUK @ rhasEuroMP ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(103,plain,
iKinnock @ ( iUK @ rhasEuroMP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,axiom,
iES @ cEuropeanCountry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(48,plain,
iES @ cEuropeanCountry,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
iBE @ cEuropeanCountry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(43,plain,
iBE @ cEuropeanCountry,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(104,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(3,axiom,
iFR @ cEuropeanCountry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(36,plain,
iFR @ cEuropeanCountry,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rhasEuroMP ) )
& ( A = B ) )
=> ( C @ ( B @ rhasEuroMP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rhasEuroMP_substitution_1) ).
thf(94,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rhasEuroMP ) )
& ( A = B ) )
=> ( C @ ( B @ rhasEuroMP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
iPT @ cEuropeanCountry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(42,plain,
iPT @ cEuropeanCountry,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
iNL @ cEuropeanCountry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(37,plain,
iNL @ cEuropeanCountry,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( ( A @ cEuroMP )
& ( A = B ) )
=> ( B @ cEuroMP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEuroMP_substitution_1) ).
thf(110,plain,
! [A: $i,B: $i] :
( ( ( A @ cEuroMP )
& ( A = B ) )
=> ( B @ cEuroMP ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(125,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ risEuroMPFrom ) )
& ( A = B ) )
=> ( C @ ( B @ risEuroMPFrom ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',risEuroMPFrom_substitution_1) ).
thf(57,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ risEuroMPFrom ) )
& ( A = B ) )
=> ( C @ ( B @ risEuroMPFrom ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,conjecture,
( ( iKinnock @ cEuroMP )
& ! [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,
~ ( ( iKinnock @ cEuroMP )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(29,plain,
~ ( ( iKinnock @ cEuroMP )
& ! [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(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ risEuroMPFrom ) )
& ( A = B ) )
=> ( B @ ( C @ risEuroMPFrom ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',risEuroMPFrom_substitution_2) ).
thf(61,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ risEuroMPFrom ) )
& ( A = B ) )
=> ( B @ ( C @ risEuroMPFrom ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(27,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(133,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( A @ cEuropeanCountry )
& ( A = B ) )
=> ( B @ cEuropeanCountry ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEuropeanCountry_substitution_1) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( A @ cEuropeanCountry )
& ( A = B ) )
=> ( B @ cEuropeanCountry ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ cEuroMP )
<=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ risEuroMPFrom ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(118,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ risEuroMPFrom ) ) )
=> ( A @ cEuroMP ) )
& ( ( A @ cEuroMP )
=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ risEuroMPFrom ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ cEUCountry )
<=> ( ( A = iPT )
| ( A = iNL )
| ( A = iUK )
| ( A = iES )
| ( A = iFR )
| ( A = iBE ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(71,plain,
! [A: $i] :
( ( ( ( A = iPT )
| ( A = iNL )
| ( A = iUK )
| ( A = iES )
| ( A = iFR )
| ( A = iBE ) )
=> ( A @ cEUCountry ) )
& ( ( A @ cEUCountry )
=> ( ( A = iPT )
| ( A = iNL )
| ( A = iUK )
| ( A = iES )
| ( A = iFR )
| ( A = iBE ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( A @ cPerson )
& ( A = B ) )
=> ( B @ cPerson ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPerson_substitution_1) ).
thf(49,plain,
! [A: $i,B: $i] :
( ( ( A @ cPerson )
& ( A = B ) )
=> ( B @ cPerson ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(114,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(139,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(143,plain,
$false,
inference(e,[status(thm)],[101,102,38,65,53,129,98,103,48,43,104,36,94,42,37,110,125,57,29,61,133,44,118,71,49,114,139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % 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
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 19:45:31 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.88/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.18 % [INFO] Parsing done (204ms).
% 1.46/1.20 % [INFO] Running in sequential loop mode.
% 2.14/1.61 % [INFO] eprover registered as external prover.
% 2.14/1.62 % [INFO] Scanning for conjecture ...
% 2.34/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 26 axioms. Running axiom selection ...
% 2.54/1.80 % [INFO] Axiom selection finished. Selected 26 axioms (removed 0 axioms).
% 2.54/1.85 % [INFO] Problem is first-order (TPTP FOF).
% 2.54/1.85 % [INFO] Type checking passed.
% 2.54/1.86 % [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 ...
% 4.62/2.61 % External prover 'e' found a proof!
% 4.62/2.61 % [INFO] Killing All external provers ...
% 4.62/2.61 % Time passed: 2076ms (effective reasoning time: 1404ms)
% 4.62/2.61 % 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)>
% 4.62/2.61 % Axioms used in derivation (26): axiom_10, rhasEuroMP_substitution_1, risEuroMPFrom_substitution_2, axiom_2, xsd_string_substitution_1, axiom_6, cowlThing_substitution_1, axiom_3, rhasEuroMP_substitution_2, axiom_8, axiom_0, axiom_12, axiom_9, axiom_7, cowlNothing_substitution_1, cEUCountry_substitution_1, axiom_1, xsd_integer_substitution_1, cPerson_substitution_1, risEuroMPFrom_substitution_1, axiom_5, axiom_13, cEuroMP_substitution_1, axiom_11, axiom_4, cEuropeanCountry_substitution_1
% 4.62/2.61 % No. of inferences in proof: 56
% 4.62/2.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2076 ms resp. 1404 ms w/o parsing
% 4.62/2.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.62/2.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------