%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS142+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 : n008.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 07:44:44 AM UTC 2026
% Result : Theorem 6.06s 3.41s
% Output : Refutation 6.06s
% 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 : 95 ( 19 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 183 ( 14 ~; 0 |; 37 &; 98 @)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 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 : 65 ( 0 ^; 60 !; 5 ?; 65 :)
% 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(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( A = B ) )
=> ( C @ ( B @ rp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rp_substitution_1) ).
thf(42,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/sandbox/benchmark/theBenchmark.p',rp_substitution_2) ).
thf(46,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(1,conjecture,
( ! [A: $i] :
( ( A @ cc )
=> ! [B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( B = C ) ) )
& ! [A: $i] :
( ( A @ cc )
=> ? [B: $i] : ( B @ ( A @ rp ) ) )
& ! [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] :
( ( A @ cc )
=> ! [B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( B = C ) ) )
& ! [A: $i] :
( ( A @ cc )
=> ? [B: $i] : ( 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] :
( ( ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( B = C ) ) )
& ! [A: $i] :
( ( A @ cc )
=> ? [B: $i] : ( 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(9,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(54,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,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(50,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(58,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/sandbox/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( ( A @ cc )
& ( A = B ) )
=> ( B @ cc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(38,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cc )
=> ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( B = C ) )
& ? [B: $i] : ( B @ ( A @ rp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(70,plain,
! [A: $i] :
( ( A @ cc )
=> ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ rp ) )
& ( B @ ( A @ rp ) ) )
=> ( B = C ) )
& ? [B: $i] : ( B @ ( A @ rp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(64,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(75,plain,
$false,
inference(e,[status(thm)],[42,46,13,54,50,58,30,38,70,34,64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS142+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.11 % 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
% 0.20/0.47 % Computer : n008.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Fri Sep 25 19:41:40 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 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
% 1.11/1.13 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.66/1.30 % [INFO] Parsing done (172ms).
% 1.66/1.31 % [INFO] Running in sequential loop mode.
% 2.61/1.95 % [INFO] eprover registered as external prover.
% 2.61/1.97 % [INFO] Scanning for conjecture ...
% 2.92/2.13 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 3.10/2.19 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 3.16/2.22 % [INFO] Problem is first-order (TPTP FOF).
% 3.16/2.23 % [INFO] Type checking passed.
% 3.16/2.24 % [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 ...
% 6.06/3.41 % External prover 'e' found a proof!
% 6.06/3.41 % [INFO] Killing All external provers ...
% 6.06/3.41 % Time passed: 2753ms (effective reasoning time: 2092ms)
% 6.06/3.41 % 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)>
% 6.06/3.41 % 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
% 6.06/3.41 % No. of inferences in proof: 24
% 6.06/3.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2753 ms resp. 2092 ms w/o parsing
% 6.06/3.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.06/3.50 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------