TSTP Solution File: SET054-6 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET054-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 03:05:06 EDT 2024
% Result : Unsatisfiable 4.40s 2.02s
% Output : Refutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 2 typ; 0 def)
% Number of atoms : 14 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 8 ~; 4 |; 0 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf(x_type,type,
x: $i ).
thf(1,negated_conjecture,
~ ( subclass @ x @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_is_reflexive_1) ).
thf(93,plain,
~ ( subclass @ x @ x ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(94,plain,
~ ( subclass @ x @ x ),
inference(polarity_switch,[status(thm)],[93]) ).
thf(72,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( subclass @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass2) ).
thf(243,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( subclass @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(244,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( subclass @ B @ A ) ),
inference(cnf,[status(esa)],[243]) ).
thf(245,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( subclass @ B @ A ) ),
inference(lifteq,[status(thm)],[244]) ).
thf(246,plain,
! [A: $i] : ( subclass @ A @ A ),
inference(simp,[status(thm)],[245]) ).
thf(307,plain,
~ $true,
inference(rewrite,[status(thm)],[94,246]) ).
thf(308,plain,
$false,
inference(simp,[status(thm)],[307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET054-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n028.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 12:14:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.88/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/1.00 % [INFO] Parsing done (136ms).
% 1.18/1.00 % [INFO] Running in sequential loop mode.
% 1.84/1.20 % [INFO] nitpick registered as external prover.
% 1.84/1.21 % [INFO] Scanning for conjecture ...
% 1.99/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 91 axioms. Running axiom selection ...
% 2.23/1.33 % [INFO] Axiom selection finished. Selected 91 axioms (removed 0 axioms).
% 2.47/1.39 % [INFO] Problem is propositional (TPTP CNF).
% 2.47/1.40 % [INFO] Type checking passed.
% 2.47/1.40 % [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 ...
% 4.40/2.01 % [INFO] Killing All external provers ...
% 4.40/2.01 % Time passed: 1488ms (effective reasoning time: 1007ms)
% 4.40/2.01 % Axioms used in derivation (1): equal_implies_subclass2
% 4.40/2.01 % No. of inferences in proof: 10
% 4.40/2.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1488 ms resp. 1007 ms w/o parsing
% 4.40/2.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.40/2.03 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------