TSTP Solution File: SEU523^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU523^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 03:42:28 EDT 2024
% Result : Theorem 3.10s 1.87s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 10 unt; 7 typ; 1 def)
% Number of atoms : 58 ( 7 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 15 ~; 9 |; 6 &; 94 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 ^ 27 !; 6 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(setunionAx_type,type,
setunionAx: $o ).
thf(setunionAx_def,definition,
( setunionAx
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( setunion @ A ) )
= ( ? [C: $i] :
( ( in @ B @ C )
& ( in @ C @ A ) ) ) ) ) ) ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $o ).
thf(sk5_type,type,
sk5: $i ).
thf(1,conjecture,
( setunionAx
=> ! [A: $i,B: $i] :
( ( in @ B @ ( setunion @ A ) )
=> ! [C: $o] :
( ! [D: $i] :
( ( in @ B @ D )
=> ( ( in @ D @ A )
=> C ) )
=> C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionE) ).
thf(2,negated_conjecture,
~ ( setunionAx
=> ! [A: $i,B: $i] :
( ( in @ B @ ( setunion @ A ) )
=> ! [C: $o] :
( ! [D: $i] :
( ( in @ B @ D )
=> ( ( in @ D @ A )
=> C ) )
=> C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i] :
( ( in @ B @ ( setunion @ A ) )
= ( ? [C: $i] :
( ( in @ B @ C )
& ( in @ C @ A ) ) ) )
=> ! [A: $i,B: $i] :
( ( in @ B @ ( setunion @ A ) )
=> ! [C: $o] :
( ! [D: $i] :
( ( in @ B @ D )
=> ( ( in @ D @ A )
=> C ) )
=> C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( in @ B @ ( setunion @ A ) )
= ( ? [C: $i] :
( ( in @ B @ C )
& ( in @ C @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( in @ B @ ( setunion @ A ) )
= ( ? [C: $i] :
( ( in @ B @ C )
& ( in @ C @ A ) ) ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(6,plain,
in @ sk2 @ ( setunion @ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(12,plain,
! [B: $i,A: $i] :
( ? [C: $i] :
( ( in @ B @ C )
& ( in @ C @ A ) )
| ( ( in @ B @ ( setunion @ A ) )
!= ( in @ sk2 @ ( setunion @ sk1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[9,6]) ).
thf(13,plain,
? [A: $i] :
( ( in @ sk2 @ A )
& ( in @ A @ sk1 ) ),
inference(pattern_uni,[status(thm)],[12:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(20,plain,
in @ sk2 @ sk5,
inference(cnf,[status(esa)],[13]) ).
thf(19,plain,
in @ sk5 @ sk1,
inference(cnf,[status(esa)],[13]) ).
thf(5,plain,
! [A: $i] :
( ~ ( in @ sk2 @ A )
| ~ ( in @ A @ sk1 )
| sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: $i] :
( ~ ( in @ sk2 @ A )
| ~ ( in @ A @ sk1 )
| sk3 ),
inference(simp,[status(thm)],[5]) ).
thf(4,plain,
~ sk3,
inference(cnf,[status(esa)],[3]) ).
thf(35,plain,
! [A: $i] :
( ~ ( in @ sk2 @ A )
| ~ ( in @ A @ sk1 )
| $false ),
inference(rewrite,[status(thm)],[8,4]) ).
thf(36,plain,
! [A: $i] :
( ~ ( in @ sk2 @ A )
| ~ ( in @ A @ sk1 ) ),
inference(simp,[status(thm)],[35]) ).
thf(44,plain,
! [A: $i] :
( ~ ( in @ sk2 @ A )
| ( ( in @ sk5 @ sk1 )
!= ( in @ A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[19,36]) ).
thf(45,plain,
~ ( in @ sk2 @ sk5 ),
inference(pattern_uni,[status(thm)],[44:[bind(A,$thf( sk5 ))]]) ).
thf(68,plain,
$false,
inference(rewrite,[status(thm)],[20,45]) ).
thf(69,plain,
$false,
inference(simp,[status(thm)],[68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU523^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.17 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n016.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sun May 19 17:25:38 EDT 2024
% 0.17/0.39 % CPUTime :
% 1.05/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.07 % [INFO] Parsing done (119ms).
% 1.26/1.08 % [INFO] Running in sequential loop mode.
% 1.80/1.31 % [INFO] nitpick registered as external prover.
% 1.80/1.31 % [INFO] Scanning for conjecture ...
% 1.97/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.97/1.40 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.97/1.40 % [INFO] Problem is higher-order (TPTP THF).
% 1.97/1.41 % [INFO] Type checking passed.
% 1.97/1.41 % [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 ...
% 3.10/1.86 % [INFO] Killing All external provers ...
% 3.10/1.87 % Time passed: 1314ms (effective reasoning time: 783ms)
% 3.10/1.87 % 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)>
% 3.10/1.87 % Axioms used in derivation (0):
% 3.10/1.87 % No. of inferences in proof: 19
% 3.10/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1314 ms resp. 783 ms w/o parsing
% 3.10/1.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.10/1.91 % [INFO] Killing All external provers ...
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