TSTP Solution File: SEU818^2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU818^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 03:40:09 EDT 2024
% Result : Theorem 3.57s 1.96s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 14 ( 4 unt; 7 typ; 3 def)
% Number of atoms : 76 ( 9 equ; 0 cnn)
% Maximal formula atoms : 50 ( 10 avg)
% Number of connectives : 184 ( 6 ~; 6 |; 13 &; 115 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 1 ^ 36 !; 2 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(subsetI1_def,definition,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(ordinal_def,definition,
( ordinal
= ( ^ [A: $i] :
( ( transitiveset @ A )
& ( wellorderedByIn @ A ) ) ) ) ).
thf(ordinalTransSet_type,type,
ordinalTransSet: $o ).
thf(ordinalTransSet_def,definition,
( ordinalTransSet
= ( ! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i,C: $i] :
( ( in @ C @ A )
=> ( ( in @ B @ C )
=> ( in @ B @ A ) ) ) ) ) ) ).
thf(1,conjecture,
( subsetI1
=> ( ordinalTransSet
=> ! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalTransSet1) ).
thf(2,negated_conjecture,
~ ( subsetI1
=> ( ordinalTransSet
=> ! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) )
=> ( subset @ A @ B ) )
=> ( ! [A: $i] :
( ( ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) )
& ! [B: $i] :
( ( in @ B @ A )
=> ! [C: $i] :
( ( in @ C @ A )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ( ( in @ B @ C )
& ( in @ C @ D ) )
=> ( in @ B @ D ) ) ) ) )
& ! [B: $i] :
( ( in @ B @ A )
=> ! [C: $i] :
( ( in @ C @ A )
=> ( ( B = C )
| ( in @ B @ C )
| ( in @ C @ B ) ) ) )
& ! [B: $i] :
( ( in @ B @ A )
=> ~ ( in @ B @ B ) )
& ! [B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( B != emptyset )
=> ? [C: $i] :
( ( in @ C @ B )
& ! [D: $i] :
( ( in @ D @ B )
=> ( ( C = D )
| ( in @ C @ D ) ) ) ) ) ) )
=> ! [B: $i,C: $i] :
( ( in @ C @ A )
=> ( ( in @ B @ C )
=> ( in @ B @ A ) ) ) )
=> ! [A: $i] :
( ( ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) )
& ! [B: $i] :
( ( in @ B @ A )
=> ! [C: $i] :
( ( in @ C @ A )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ( ( in @ B @ C )
& ( in @ C @ D ) )
=> ( in @ B @ D ) ) ) ) )
& ! [B: $i] :
( ( in @ B @ A )
=> ! [C: $i] :
( ( in @ C @ A )
=> ( ( B = C )
| ( in @ B @ C )
| ( in @ C @ B ) ) ) )
& ! [B: $i] :
( ( in @ B @ A )
=> ~ ( in @ B @ B ) )
& ! [B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( B != emptyset )
=> ? [C: $i] :
( ( in @ C @ B )
& ! [D: $i] :
( ( in @ D @ B )
=> ( ( C = D )
| ( in @ C @ D ) ) ) ) ) ) )
=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(73,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU818^2 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n015.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 16:17:09 EDT 2024
% 0.16/0.38 % CPUTime :
% 1.01/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.04 % [INFO] Parsing done (128ms).
% 1.25/1.05 % [INFO] Running in sequential loop mode.
% 1.70/1.28 % [INFO] eprover registered as external prover.
% 1.70/1.29 % [INFO] cvc4 registered as external prover.
% 1.70/1.29 % [INFO] Scanning for conjecture ...
% 1.92/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.12/1.40 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.12/1.40 % [INFO] Problem is higher-order (TPTP THF).
% 2.12/1.40 % [INFO] Type checking passed.
% 2.12/1.40 % [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 ...
% 3.57/1.95 % External prover 'e' found a proof!
% 3.57/1.95 % [INFO] Killing All external provers ...
% 3.57/1.96 % Time passed: 1414ms (effective reasoning time: 900ms)
% 3.57/1.96 % 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)>
% 3.57/1.96 % Axioms used in derivation (0):
% 3.57/1.96 % No. of inferences in proof: 4
% 3.57/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1414 ms resp. 900 ms w/o parsing
% 3.57/1.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.57/1.99 % [INFO] Killing All external provers ...
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