TSTP Solution File: SEU161+3 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 7 10:51:20 EDT 2024
% Result : Theorem 3.61s 2.07s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 25 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 13 ~; 5 |; 0 &; 55 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( in @ A @ B )
| ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ),
inference(cnf,[status(esa)],[34]) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( ( set_union2 @ ( singleton @ A ) @ B )
= B )
| ~ ( in @ A @ B ) ),
inference(lifteq,[status(thm)],[35]) ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
( ( set_union2 @ ( singleton @ sk1 ) @ sk2 )
!= sk2 ),
inference(cnf,[status(esa)],[11]) ).
thf(14,plain,
( ( set_union2 @ ( singleton @ sk1 ) @ sk2 )
!= sk2 ),
inference(lifteq,[status(thm)],[12]) ).
thf(104,plain,
! [B: $i,A: $i] :
( ~ ( in @ A @ B )
| ( B != sk2 )
| ( ( set_union2 @ ( singleton @ A ) @ B )
!= ( set_union2 @ ( singleton @ sk1 ) @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[36,14]) ).
thf(105,plain,
( ~ ( in @ sk1 @ sk2 )
| ( sk2 != sk2 ) ),
inference(pattern_uni,[status(thm)],[104:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(129,plain,
~ ( in @ sk1 @ sk2 ),
inference(simp,[status(thm)],[105]) ).
thf(13,plain,
in @ sk1 @ sk2,
inference(cnf,[status(esa)],[11]) ).
thf(132,plain,
~ $true,
inference(rewrite,[status(thm)],[129,13]) ).
thf(133,plain,
$false,
inference(simp,[status(thm)],[132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.17 % Command : run_Leo-III %s %d
% 0.18/0.39 % Computer : n021.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Mon May 6 17:40:09 EDT 2024
% 0.18/0.39 % CPUTime :
% 1.03/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.11 % [INFO] Parsing done (125ms).
% 1.28/1.12 % [INFO] Running in sequential loop mode.
% 1.78/1.34 % [INFO] nitpick registered as external prover.
% 1.78/1.34 % [INFO] Scanning for conjecture ...
% 1.88/1.40 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 1.88/1.42 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.88/1.43 % [INFO] Problem is first-order (TPTP FOF).
% 1.88/1.43 % [INFO] Type checking passed.
% 1.88/1.44 % [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 ...
% 3.61/2.06 % [INFO] Killing All external provers ...
% 3.61/2.07 % Time passed: 1505ms (effective reasoning time: 941ms)
% 3.61/2.07 % 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)>
% 3.61/2.07 % Axioms used in derivation (1): l23_zfmisc_1
% 3.61/2.07 % No. of inferences in proof: 15
% 3.61/2.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1505 ms resp. 941 ms w/o parsing
% 3.62/2.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.62/2.11 % [INFO] Killing All external provers ...
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