%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS145+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 : n005.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 07:44:45 AM UTC 2026
% Result : Theorem 5.95s 3.70s
% Output : Refutation 6.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 117 ( 34 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 227 ( 19 ~; 10 |; 52 &; 115 @)
% ( 3 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 72 ( 0 ^; 62 !; 10 ?; 72 :)
% 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(cc_decl,type,
cc: $i > $o ).
thf(rp_decl,type,
rp: $i > $i > $o ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(61,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ cc )
& ( A = B ) )
=> ( B @ cc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(33,plain,
! [A: $i,B: $i] :
( ( ( A @ cc )
& ( A = B ) )
=> ( B @ cc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(53,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cc )
=> ( ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
& ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ rp ) )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( ( C = D )
| ( B = D )
| ( B = C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(73,plain,
! [A: $i] :
( ( A @ cc )
=> ( ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
& ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ rp ) )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( ( C = D )
| ( B = D )
| ( B = C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( A = B ) )
=> ( C @ ( B @ rp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_1) ).
thf(45,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( A = B ) )
=> ( C @ ( B @ rp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rp ) )
& ( A = B ) )
=> ( B @ ( C @ rp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_2) ).
thf(49,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rp ) )
& ( A = B ) )
=> ( B @ ( C @ rp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(67,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( A @ cc )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ rp ) )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( ( C = D )
| ( B = D )
| ( B = C ) ) )
& ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) ) ) )
& ! [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,
~ ( ! [A: $i] :
( ( A @ cc )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ rp ) )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( ( C = D )
| ( B = D )
| ( B = C ) ) )
& ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) ) ) )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ( ! [A: $i] :
( ( A @ cc )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ rp ) )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( ( C = D )
| ( B = D )
| ( B = C ) ) )
& ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) ) ) )
& ! [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(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(41,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(82,plain,
$false,
inference(e,[status(thm)],[37,57,61,33,53,73,45,49,67,13,41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.12 % 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
% 0.24/0.50 % Computer : n005.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Fri Sep 25 19:41:04 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.24/0.50 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
% 1.41/1.36 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.95/1.66 % [INFO] Parsing done (294ms).
% 1.95/1.68 % [INFO] Running in sequential loop mode.
% 3.14/2.31 % [INFO] eprover registered as external prover.
% 3.14/2.32 % [INFO] Scanning for conjecture ...
% 3.33/2.49 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 3.49/2.56 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 3.49/2.59 % [INFO] Problem is first-order (TPTP FOF).
% 3.68/2.60 % [INFO] Type checking passed.
% 3.68/2.61 % [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 ...
% 5.95/3.69 % External prover 'e' found a proof!
% 5.95/3.69 % [INFO] Killing All external provers ...
% 5.95/3.69 % Time passed: 2977ms (effective reasoning time: 2000ms)
% 5.95/3.69 % 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)>
% 5.95/3.70 % Axioms used in derivation (10): cowlNothing_substitution_1, cc_substitution_1, xsd_string_substitution_1, cowlThing_substitution_1, axiom_0, rp_substitution_1, axiom_2, rp_substitution_2, axiom_1, xsd_integer_substitution_1
% 5.95/3.70 % No. of inferences in proof: 24
% 5.95/3.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2977 ms resp. 2000 ms w/o parsing
% 6.30/3.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.30/3.78 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------