TSTP Solution File: KRS168+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 : Tue May 7 07:52:03 EDT 2024
% Result : Theorem 2.55s 1.67s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 99 ( 26 ~; 4 |; 18 &; 40 @)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 ^ 13 !; 0 ?; 13 :)
% 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(cB_type,type,
cB: $i > $o ).
thf(cA_type,type,
cA: $i > $o ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ( ~ ( cB @ A )
& ~ ( cA @ A ) )
<=> ~ ( ( cA @ A )
| ( cB @ A ) ) ) ),
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 ) )
& ! [A: $i] :
( ( ~ ( cB @ A )
& ~ ( cA @ A ) )
<=> ~ ( ( cA @ A )
| ( cB @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ! [A: $i] :
( ( ( ~ ( cB @ A )
& ~ ( cA @ A ) )
=> ~ ( ( cA @ A )
| ( cB @ A ) ) )
& ( ~ ( ( cA @ A )
| ( cB @ A ) )
=> ( ~ ( cB @ A )
& ~ ( cA @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(17,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(22,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(27,plain,
$false,
inference(e,[status(thm)],[5,17,22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.17 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n016.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 : Mon May 6 15:21:09 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.93/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.06/0.99 % [INFO] Parsing done (113ms).
% 1.23/1.00 % [INFO] Running in sequential loop mode.
% 1.59/1.23 % [INFO] eprover registered as external prover.
% 1.59/1.23 % [INFO] cvc4 registered as external prover.
% 1.59/1.23 % [INFO] Scanning for conjecture ...
% 1.65/1.29 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.65/1.32 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.86/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 1.86/1.33 % [INFO] Type checking passed.
% 1.86/1.33 % [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 ...
% 2.55/1.67 % External prover 'e' found a proof!
% 2.55/1.67 % [INFO] Killing All external provers ...
% 2.55/1.67 % Time passed: 1115ms (effective reasoning time: 667ms)
% 2.55/1.67 % 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)>
% 2.55/1.67 % Axioms used in derivation (2): axiom_0, axiom_1
% 2.55/1.67 % No. of inferences in proof: 8
% 2.55/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1115 ms resp. 667 ms w/o parsing
% 2.80/1.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.80/1.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------