TSTP Solution File: KRS169+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 2.60s 1.65s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 24 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 46 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 100 ( 14 ~; 0 |; 20 &; 56 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 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(iX_type,type,
iX: $i ).
thf(rhasHead_type,type,
rhasHead: $i > $i > $o ).
thf(iY_type,type,
iY: $i ).
thf(rhasLeader_type,type,
rhasLeader: $i > $i > $o ).
thf(5,axiom,
cowlThing @ iX,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(25,plain,
cowlThing @ iX,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
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,
! [A: $i,B: $i] :
( ( rhasLeader @ A @ B )
<=> ( rhasHead @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(28,plain,
! [A: $i,B: $i] :
( ( ( rhasLeader @ A @ B )
=> ( rhasHead @ A @ B ) )
& ( ( rhasHead @ A @ B )
=> ( rhasLeader @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cowlThing @ iX )
& ( rhasHead @ iX @ iY )
& ( cowlThing @ iY ) ),
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 @ iX )
& ( rhasHead @ iX @ iY )
& ( cowlThing @ iY ) ),
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 @ iX )
& ( rhasHead @ iX @ iY )
& ( cowlThing @ iY ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
cowlThing @ iY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(27,plain,
cowlThing @ iY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
rhasLeader @ iX @ iY,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(26,plain,
rhasLeader @ iX @ iY,
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(33,plain,
$false,
inference(e,[status(thm)],[25,20,28,9,27,26,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : run_Leo-III %s %d
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 6 15:19:08 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.83/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/0.94 % [INFO] Parsing done (143ms).
% 1.16/0.95 % [INFO] Running in sequential loop mode.
% 1.47/1.20 % [INFO] eprover registered as external prover.
% 1.47/1.20 % [INFO] cvc4 registered as external prover.
% 1.47/1.20 % [INFO] Scanning for conjecture ...
% 1.68/1.26 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.68/1.29 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.68/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 1.68/1.30 % [INFO] Type checking passed.
% 1.68/1.30 % [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 ...
% 2.60/1.65 % External prover 'e' found a proof!
% 2.60/1.65 % [INFO] Killing All external provers ...
% 2.60/1.65 % Time passed: 1208ms (effective reasoning time: 697ms)
% 2.60/1.65 % 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)>
% 2.60/1.65 % Axioms used in derivation (6): axiom_2, axiom_3, axiom_1, axiom_5, axiom_0, axiom_4
% 2.60/1.65 % No. of inferences in proof: 16
% 2.60/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1208 ms resp. 697 ms w/o parsing
% 2.60/1.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.60/1.68 % [INFO] Killing All external provers ...
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