TSTP Solution File: SET063-7 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET063-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 03:05:11 EDT 2024
% Result : Unsatisfiable 217.57s 41.52s
% Output : Refutation 217.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 32 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 23 ~; 15 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 ^ 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf(x_type,type,
x: $i ).
thf(null_class_type,type,
null_class: $i ).
thf(75,axiom,
! [B: $i,A: $i] :
( ~ ( subclass @ A @ B )
| ~ ( subclass @ B @ A )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
thf(264,plain,
! [B: $i,A: $i] :
( ~ ( subclass @ A @ B )
| ~ ( subclass @ B @ A )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(265,plain,
! [B: $i,A: $i] :
( ~ ( subclass @ A @ B )
| ~ ( subclass @ B @ A )
| ( A = B ) ),
inference(cnf,[status(esa)],[264]) ).
thf(266,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( subclass @ A @ B )
| ~ ( subclass @ B @ A ) ),
inference(lifteq,[status(thm)],[265]) ).
thf(2,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
thf(108,plain,
x != null_class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(109,plain,
x != null_class,
inference(polarity_switch,[status(thm)],[108]) ).
thf(110,plain,
null_class != x,
inference(lifteq,[status(thm)],[109]) ).
thf(82464,plain,
! [B: $i,A: $i] :
( ~ ( subclass @ A @ B )
| ~ ( subclass @ B @ A )
| ( B != x )
| ( A != null_class ) ),
inference(paramod_ordered,[status(thm)],[266,110]) ).
thf(82465,plain,
! [A: $i] :
( ~ ( subclass @ null_class @ A )
| ~ ( subclass @ A @ null_class )
| ( A != x ) ),
inference(pattern_uni,[status(thm)],[82464:[bind(A,$thf( null_class ))]]) ).
thf(87792,plain,
( ~ ( subclass @ null_class @ x )
| ~ ( subclass @ x @ null_class ) ),
inference(simp,[status(thm)],[82465]) ).
thf(1,negated_conjecture,
subclass @ x @ null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
thf(107,plain,
subclass @ x @ null_class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(100,axiom,
! [A: $i] : ( subclass @ null_class @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).
thf(316,plain,
! [A: $i] : ( subclass @ null_class @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(91002,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[87792,107,316]) ).
thf(91003,plain,
$false,
inference(simp,[status(thm)],[91002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET063-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.14 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 12:42:54 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.97/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.04 % [INFO] Parsing done (157ms).
% 1.30/1.05 % [INFO] Running in sequential loop mode.
% 1.93/1.36 % [INFO] nitpick registered as external prover.
% 1.93/1.36 % [INFO] Scanning for conjecture ...
% 2.23/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 104 axioms. Running axiom selection ...
% 2.35/1.58 % [INFO] Axiom selection finished. Selected 104 axioms (removed 0 axioms).
% 2.65/1.68 % [INFO] Problem is propositional (TPTP CNF).
% 2.65/1.69 % [INFO] Type checking passed.
% 2.65/1.70 % [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 ...
% 217.57/41.51 % [INFO] Killing All external provers ...
% 217.57/41.52 % Time passed: 41034ms (effective reasoning time: 40448ms)
% 217.57/41.52 % Axioms used in derivation (2): subclass_implies_equal, null_class_is_subclass
% 217.57/41.52 % No. of inferences in proof: 17
% 217.57/41.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 41034 ms resp. 40448 ms w/o parsing
% 217.57/41.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 217.57/41.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------