%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS132+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 : n004.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 5.29s 3.39s
% Output : Refutation 5.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 108 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 227 ( 16 ~; 4 |; 33 &; 129 @)
% ( 12 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 40 !; 13 ?; 53 :)
% 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(cAorB_decl,type,
cAorB: $i > $o ).
thf(cB_decl,type,
cB: $i > $o ).
thf(cA_decl,type,
cA: $i > $o ).
thf(rq_decl,type,
rq: $i > $i > $o ).
thf(rs_decl,type,
rs: $i > $i > $o ).
thf(rr_decl,type,
rr: $i > $i > $o ).
thf(cNothing_decl,type,
cNothing: $i > $o ).
thf(rp_decl,type,
rp: $i > $i > $o ).
thf(cnotA_decl,type,
cnotA: $i > $o ).
thf(cnotAorB_decl,type,
cnotAorB: $i > $o ).
thf(cnotB_decl,type,
cnotB: $i > $o ).
thf(9,axiom,
! [A: $i] :
( ( A @ cNothing )
=> ~ ? [B: $i] : ( B @ ( A @ rp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(61,plain,
! [A: $i] :
( ( A @ cNothing )
=> ~ ? [B: $i] : ( B @ ( A @ rp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cA )
<=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(38,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rq ) ) )
=> ( A @ cA ) )
& ( ( A @ cA )
=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cNothing )
=> ? [B: $i] : ( B @ ( A @ rp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(59,plain,
! [A: $i] :
( ( A @ cNothing )
=> ? [B: $i] : ( B @ ( A @ rp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cnotA )
<=> ! [B: $i] :
( ( B @ ( A @ rq ) )
=> ( B @ cNothing ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(63,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( B @ ( A @ rq ) )
=> ( B @ cNothing ) )
=> ( A @ cnotA ) )
& ( ( A @ cnotA )
=> ! [B: $i] :
( ( B @ ( A @ rq ) )
=> ( B @ cNothing ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(26,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cnotAorB )
<=> ( ( A @ cnotA )
& ( A @ cnotB ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(79,plain,
! [A: $i] :
( ( ( ( A @ cnotA )
& ( A @ cnotB ) )
=> ( A @ cnotAorB ) )
& ( ( A @ cnotAorB )
=> ( ( A @ cnotA )
& ( A @ cnotB ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cB )
<=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rr ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(52,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rr ) ) )
=> ( A @ cB ) )
& ( ( A @ cB )
=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rr ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( A @ cAorB )
<=> ( ( A @ cA )
| ( A @ cB ) ) )
& ! [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 @ cAorB )
<=> ( ( A @ cA )
| ( A @ cB ) ) )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ( ! [A: $i] :
( ( ( ( A @ cA )
| ( A @ cB ) )
=> ( A @ cAorB ) )
& ( ( A @ cAorB )
=> ( ( A @ cA )
| ( A @ cB ) ) ) )
& ! [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(4,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(32,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(6,axiom,
! [A: $i] :
( ( A @ cAorB )
<=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(45,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rs ) ) )
=> ( A @ cAorB ) )
& ( ( A @ cAorB )
=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rs ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ cnotAorB )
<=> ! [B: $i] :
( ( B @ ( A @ rs ) )
=> ( B @ cNothing ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(71,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( B @ ( A @ rs ) )
=> ( B @ cNothing ) )
=> ( A @ cnotAorB ) )
& ( ( A @ cnotAorB )
=> ! [B: $i] :
( ( B @ ( A @ rs ) )
=> ( B @ cNothing ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ cnotB )
<=> ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cNothing ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(86,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cNothing ) )
=> ( A @ cnotB ) )
& ( ( A @ cnotB )
=> ! [B: $i] :
( ( B @ ( A @ rr ) )
=> ( B @ cNothing ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(94,plain,
$false,
inference(e,[status(thm)],[61,38,59,63,26,79,52,14,32,45,71,86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.12 % 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
% 0.21/0.47 % Computer : n004.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Fri Sep 25 19:40:21 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.48 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
% 1.28/1.27 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.84/1.51 % [INFO] Parsing done (229ms).
% 1.84/1.52 % [INFO] Running in sequential loop mode.
% 2.71/2.09 % [INFO] eprover registered as external prover.
% 2.71/2.10 % [INFO] Scanning for conjecture ...
% 2.96/2.22 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.96/2.28 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 3.13/2.31 % [INFO] Problem is first-order (TPTP FOF).
% 3.13/2.32 % [INFO] Type checking passed.
% 3.13/2.33 % [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 ...
% 5.29/3.39 % External prover 'e' found a proof!
% 5.29/3.39 % [INFO] Killing All external provers ...
% 5.29/3.39 % Time passed: 2719ms (effective reasoning time: 1861ms)
% 5.29/3.39 % 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)>
% 5.29/3.39 % Axioms used in derivation (11): axiom_7, axiom_10, axiom_2, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, axiom_0, axiom_9, axiom_4
% 5.29/3.39 % No. of inferences in proof: 26
% 5.29/3.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2719 ms resp. 1861 ms w/o parsing
% 5.65/3.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.65/3.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------