TSTP Solution File: SET046-5 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SET046-5 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 21 03:01:08 EDT 2024
% Result : Unsatisfiable 2.31s 1.45s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 6 ~; 8 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(f_type,type,
f: $i > $i ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ B )
| ~ ( element @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(4,plain,
! [B: $i,A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ B )
| ~ ( element @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( element @ A @ ( f @ A ) )
| ( element @ A @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(5,plain,
! [A: $i] :
( ( element @ A @ ( f @ A ) )
| ( element @ A @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( element @ ( f @ A ) @ A )
| ( element @ A @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(6,plain,
! [A: $i] :
( ( element @ ( f @ A ) @ A )
| ( element @ A @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[4,5,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SET046-5 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.10 % Command : run_Leo-III %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 12:48:54 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.77/0.76 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.08/0.87 % [INFO] Parsing done (106ms).
% 1.08/0.87 % [INFO] Running in sequential loop mode.
% 1.44/1.09 % [INFO] eprover registered as external prover.
% 1.44/1.09 % [INFO] cvc4 registered as external prover.
% 1.44/1.10 % [INFO] Scanning for conjecture ...
% 1.60/1.15 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.60/1.17 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.60/1.17 % [INFO] Problem is propositional (TPTP CNF).
% 1.60/1.17 % [INFO] Type checking passed.
% 1.67/1.18 % [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 ...
% 2.07/1.45 % External prover 'e' found a proof!
% 2.07/1.45 % [INFO] Killing All external provers ...
% 2.07/1.45 % Time passed: 1033ms (effective reasoning time: 568ms)
% 2.31/1.45 % Axioms used in derivation (0):
% 2.31/1.45 % No. of inferences in proof: 7
% 2.31/1.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1033 ms resp. 568 ms w/o parsing
% 2.37/1.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.37/1.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------