TSTP Solution File: SEU746_8 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU746_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 03:43:37 EDT 2024
% Result : Theorem 3.43s 1.81s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 65 ( 4 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 176 ( 11 ~; 14 |; 0 &; 120 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 ^ 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(binunionE_type,type,
binunionE: $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $o ).
thf(sk5_type,type,
sk5: $i ).
thf(1,conjecture,
( binunionE
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $o,E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binunion @ B @ C ) )
=> ( ( ( in @ E @ B )
=> D )
=> ( ( ( in @ E @ C )
=> D )
=> D ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionTE) ).
thf(2,negated_conjecture,
~ ( binunionE
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $o,E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binunion @ B @ C ) )
=> ( ( ( in @ E @ B )
=> D )
=> ( ( ( in @ E @ C )
=> D )
=> D ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( binunionE
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $o,E: $i] :
( ( in @ E @ A )
=> ( ( in @ E @ ( binunion @ B @ C ) )
=> ( ( ( in @ E @ B )
=> D )
=> ( ( ( in @ E @ C )
=> D )
=> D ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
in @ sk5 @ ( binunion @ sk2 @ sk3 ),
inference(cnf,[status(esa)],[4]) ).
thf(3,axiom,
( binunionE
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binunion @ A @ B ) )
=> ( ( in @ C @ A )
| ( in @ C @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionE) ).
thf(13,plain,
( binunionE
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binunion @ A @ B ) )
=> ( ( in @ C @ A )
| ( in @ C @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
( binunionE
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binunion @ A @ B ) )
=> ( ( in @ C @ A )
| ( in @ C @ B ) ) ) ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(5,plain,
binunionE,
inference(cnf,[status(esa)],[4]) ).
thf(39,plain,
! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( binunion @ A @ B ) )
=> ( ( in @ C @ A )
| ( in @ C @ B ) ) ),
inference(rewrite,[status(thm)],[14,5]) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( in @ C @ ( binunion @ A @ B ) )
| ( in @ C @ A )
| ( in @ C @ B ) ),
inference(cnf,[status(esa)],[39]) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( in @ C @ A )
| ( in @ C @ B )
| ( ( in @ sk5 @ ( binunion @ sk2 @ sk3 ) )
!= ( in @ C @ ( binunion @ A @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[12,40]) ).
thf(44,plain,
( ( in @ sk5 @ sk2 )
| ( in @ sk5 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[43:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 )),bind(C,$thf( sk5 ))]]) ).
thf(8,plain,
( ~ ( in @ sk5 @ sk2 )
| sk4 ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
~ sk4,
inference(cnf,[status(esa)],[4]) ).
thf(15,plain,
( ~ ( in @ sk5 @ sk2 )
| $false ),
inference(rewrite,[status(thm)],[8,10]) ).
thf(16,plain,
~ ( in @ sk5 @ sk2 ),
inference(simp,[status(thm)],[15]) ).
thf(11,plain,
( ~ ( in @ sk5 @ sk3 )
| sk4 ),
inference(cnf,[status(esa)],[4]) ).
thf(24,plain,
( ~ ( in @ sk5 @ sk3 )
| $false ),
inference(rewrite,[status(thm)],[11,10]) ).
thf(25,plain,
~ ( in @ sk5 @ sk3 ),
inference(simp,[status(thm)],[24]) ).
thf(52,plain,
( $false
| $false ),
inference(rewrite,[status(thm)],[44,16,25]) ).
thf(53,plain,
$false,
inference(simp,[status(thm)],[52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU746_8 : TPTP v8.2.0. Released v8.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 15:37:54 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.07/1.00 % [INFO] Parsing done (116ms).
% 1.29/1.01 % [INFO] Running in sequential loop mode.
% 1.65/1.23 % [INFO] nitpick registered as external prover.
% 1.65/1.23 % [INFO] Scanning for conjecture ...
% 1.75/1.27 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.75/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.75/1.32 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.75/1.33 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.75/1.33 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.75/1.33 % [INFO] Type checking passed.
% 2.02/1.33 % [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 ...
% 3.43/1.80 % [INFO] Killing All external provers ...
% 3.43/1.81 % Time passed: 1284ms (effective reasoning time: 791ms)
% 3.43/1.81 % 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)>
% 3.43/1.81 % Axioms used in derivation (1): binunionE
% 3.43/1.81 % No. of inferences in proof: 21
% 3.43/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1284 ms resp. 791 ms w/o parsing
% 3.43/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.43/1.84 % [INFO] Killing All external provers ...
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