TSTP Solution File: KRS139+1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : KRS139+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:18:31 EDT 2024
% Result : Theorem 2.83s 1.59s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 44 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 94 ( 14 ~; 0 |; 19 &; 52 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(iAntwerp_type,type,
iAntwerp: $i ).
thf(rpath_type,type,
rpath: $i > $i > $o ).
thf(iGhent_type,type,
iGhent: $i ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( rpath @ A @ B )
=> ( rpath @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( rpath @ A @ B )
=> ( rpath @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
cowlThing @ iGhent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(28,plain,
cowlThing @ iGhent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cowlThing @ iAntwerp )
& ( rpath @ iAntwerp @ iGhent )
& ( cowlThing @ iGhent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cowlThing @ iAntwerp )
& ( rpath @ iAntwerp @ iGhent )
& ( cowlThing @ iGhent ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cowlThing @ iAntwerp )
& ( rpath @ iAntwerp @ iGhent )
& ( cowlThing @ iGhent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
cowlThing @ iAntwerp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(27,plain,
cowlThing @ iAntwerp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(15,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(20,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
rpath @ iGhent @ iAntwerp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(29,plain,
rpath @ iGhent @ iAntwerp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(32,plain,
$false,
inference(e,[status(thm)],[25,28,9,27,15,20,29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS139+1 : TPTP v8.2.0. Released v3.1.0.
% 0.08/0.16 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n020.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 22:18:24 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.94/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.14/0.97 % [INFO] Parsing done (93ms).
% 1.14/0.97 % [INFO] Running in sequential loop mode.
% 1.61/1.17 % [INFO] eprover registered as external prover.
% 1.61/1.18 % [INFO] cvc4 registered as external prover.
% 1.61/1.18 % [INFO] Scanning for conjecture ...
% 1.61/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 1.81/1.25 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.81/1.26 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.26 % [INFO] Type checking passed.
% 1.81/1.26 % [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 ...
% 2.83/1.59 % External prover 'e' found a proof!
% 2.83/1.59 % [INFO] Killing All external provers ...
% 2.83/1.59 % Time passed: 1056ms (effective reasoning time: 613ms)
% 2.83/1.59 % 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)>
% 2.83/1.59 % Axioms used in derivation (6): axiom_2, axiom_3, axiom_1, axiom_5, axiom_0, axiom_4
% 2.83/1.59 % No. of inferences in proof: 16
% 2.83/1.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1056 ms resp. 613 ms w/o parsing
% 2.83/1.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.83/1.62 % [INFO] Killing All external provers ...
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