TSTP Solution File: SEU641^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU641^2 : TPTP v8.2.0. Released v3.7.0.
% 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 03:43:07 EDT 2024
% Result : Theorem 3.39s 2.08s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 10 unt; 7 typ; 2 def)
% Number of atoms : 40 ( 21 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 9 ~; 5 |; 0 &; 72 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 ^ 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(setadjoinIL_def,definition,
( setadjoinIL
= ( ! [A: $i,B: $i] : ( in @ A @ ( setadjoin @ A @ B ) ) ) ) ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(uniqinunit_def,definition,
( uniqinunit
= ( ! [A: $i,B: $i] :
( ( in @ A @ ( setadjoin @ B @ emptyset ) )
=> ( A = B ) ) ) ) ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
( setadjoinIL
=> ( uniqinunit
=> ! [A: $i,B: $i] :
( ( ( setadjoin @ A @ emptyset )
= ( setadjoin @ B @ emptyset ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletonsuniq) ).
thf(2,negated_conjecture,
~ ( setadjoinIL
=> ( uniqinunit
=> ! [A: $i,B: $i] :
( ( ( setadjoin @ A @ emptyset )
= ( setadjoin @ B @ emptyset ) )
=> ( A = B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i] : ( in @ A @ ( setadjoin @ A @ B ) )
=> ( ! [A: $i,B: $i] :
( ( in @ A @ ( setadjoin @ B @ emptyset ) )
=> ( A = B ) )
=> ! [A: $i,B: $i] :
( ( ( setadjoin @ A @ emptyset )
= ( setadjoin @ B @ emptyset ) )
=> ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( setadjoin @ sk1 @ emptyset )
= ( setadjoin @ sk2 @ emptyset ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
( ( setadjoin @ sk2 @ emptyset )
= ( setadjoin @ sk1 @ emptyset ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(7,plain,
! [B: $i,A: $i] : ( in @ A @ ( setadjoin @ A @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( in @ A @ ( setadjoin @ sk1 @ emptyset ) )
| ( ( setadjoin @ sk2 @ emptyset )
!= ( setadjoin @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[9,7]) ).
thf(13,plain,
in @ sk2 @ ( setadjoin @ sk1 @ emptyset ),
inference(pattern_uni,[status(thm)],[12:[bind(A,$thf( sk2 )),bind(B,$thf( emptyset ))]]) ).
thf(6,plain,
! [B: $i,A: $i] :
( ~ ( in @ A @ ( setadjoin @ B @ emptyset ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( in @ A @ ( setadjoin @ B @ emptyset ) ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( in @ A @ ( setadjoin @ B @ emptyset ) ) ),
inference(simp,[status(thm)],[10]) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( in @ sk2 @ ( setadjoin @ sk1 @ emptyset ) )
!= ( in @ A @ ( setadjoin @ B @ emptyset ) ) ) ),
inference(paramod_ordered,[status(thm)],[13,11]) ).
thf(49,plain,
sk2 = sk1,
inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 ))]]) ).
thf(4,plain,
sk1 != sk2,
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
sk2 != sk1,
inference(lifteq,[status(thm)],[4]) ).
thf(83,plain,
$false,
inference(simplifyReflect,[status(thm)],[49,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU641^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.17 % Command : run_Leo-III %s %d
% 0.16/0.39 % Computer : n004.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sun May 19 18:15:24 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.99/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.12 % [INFO] Parsing done (114ms).
% 1.26/1.13 % [INFO] Running in sequential loop mode.
% 1.68/1.38 % [INFO] nitpick registered as external prover.
% 1.68/1.39 % [INFO] Scanning for conjecture ...
% 2.00/1.46 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.00/1.49 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.00/1.49 % [INFO] Problem is higher-order (TPTP THF).
% 2.00/1.49 % [INFO] Type checking passed.
% 2.00/1.49 % [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 ...
% 3.39/2.08 % [INFO] Killing All external provers ...
% 3.39/2.08 % Time passed: 1539ms (effective reasoning time: 940ms)
% 3.39/2.08 % 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)>
% 3.39/2.08 % Axioms used in derivation (0):
% 3.39/2.08 % No. of inferences in proof: 16
% 3.39/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1539 ms resp. 940 ms w/o parsing
% 3.45/2.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.45/2.13 % [INFO] Killing All external provers ...
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